Cooper Liu
/
Eurobot2013_Co-Processor
working version with calibration done
Fork of Eurobot2013 by
Revision 1:6799c07fe510, committed 2012-11-07
- Comitter:
- sv
- Date:
- Wed Nov 07 14:37:35 2012 +0000
- Parent:
- 0:92019d8564a7
- Child:
- 2:10e2b1b9c588
- Commit message:
- Preliminary copy of 2012 code
Changed in this revision
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Kalman/IR/IR.cpp Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,74 @@ +#include "IR.h" +#include "Kalman.h" +#include "system.h" +#include "geometryfuncs.h" +#include "globals.h" +#include "mbed.h" + +IR::IR(Kalman &kalmanin): +#ifdef ROBOT_PRIMARY + IRserial(p9, p10), +#else + IRserial(p13, p14), +#endif + kalman(kalmanin) { + + //Setting up IR serial + IRserial.baud(115200); + IRserial.format(8,Serial::Odd,1); +} + +void IR::detachisr() { + IRserial.attach(NULL,Serial::RxIrq); +} + +void IR::attachisr() { + IRserial.attach(this, &IR::vIRValueISR, Serial::RxIrq); +} + +void IR::vIRValueISR (void) { + + // A workaround for mbed UART ISR bug + // Clear the RBR flag to make sure the interrupt doesn't loop + // UART3 for the port on pins 9/10, UART2 for pins 28/27, and UART1 for pins 13/14. + // UART0 for USB UART + +#ifdef ROBOT_PRIMARY + unsigned char RBR = LPC_UART3->RBR; +#else + unsigned char RBR = LPC_UART1->RBR; +#endif + + // bytes packing/unpacking for IR turret serial comm + static union IRValue_t { + float IR_floats[3]; + int IR_ints[3]; + unsigned char IR_chars[12]; + } IRValues; + + const char Alignment_char[4] = {0xFF,0xFE,0xFD,0xFC}; + static int Alignment_ptr = 0; + static bool data_flag = false; + static int buff_pointer = 0; + + if (!data_flag) { // look for alignment bytes + if (RBR == Alignment_char[Alignment_ptr]) { + Alignment_ptr ++; + } + if (Alignment_ptr >= 4) { + Alignment_ptr = 0; + data_flag = true; // set the dataflag + } + } else { // fetch data bytes + IRValues.IR_chars[buff_pointer] = RBR; + buff_pointer ++; + if (buff_pointer >= 12) { + buff_pointer = 0; + data_flag = false; // dessert the dataflag + kalman.runupdate(Kalman::measurement_t(IRValues.IR_ints[0]+3),IRValues.IR_floats[1],IRvariance); + + + } + + } +} \ No newline at end of file
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Kalman/IR/IR.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,25 @@ + +#ifndef IR_H +#define IR_H + +#include "mbed.h" + +//forward declaration of class Kalman to avoid cyclic include +class Kalman; + +class IR { +public: + + Serial IRserial; + + IR(Kalman &kalmanin); + void detachisr(); + void attachisr(); + void vIRValueISR (void); + +private: +//reference to the kalman object to run the updates on + Kalman& kalman; +}; + +#endif //IR_H \ No newline at end of file
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Kalman/Kalman.cpp Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,467 @@ +//*************************************************************************************** +//Kalman Filter implementation +//*************************************************************************************** +#include "Kalman.h" +#include "rtos.h" +#include "RFSRF05.h" +#include "math.h" +#include "globals.h" +#include "motors.h" +#include "system.h" +#include "geometryfuncs.h" + +#include <tvmet/Matrix.h> +#include <tvmet/Vector.h> +using namespace tvmet; + +Kalman::Kalman(Motors &motorsin, + UI &uiin, + PinName Sonar_Trig, + PinName Sonar_Echo0, + PinName Sonar_Echo1, + PinName Sonar_Echo2, + PinName Sonar_Echo3, + PinName Sonar_Echo4, + PinName Sonar_Echo5, + PinName Sonar_SDI, + PinName Sonar_SDO, + PinName Sonar_SCK, + PinName Sonar_NCS, + PinName Sonar_NIRQ) : + ir(*this), + sonararray(Sonar_Trig, + Sonar_Echo0, + Sonar_Echo1, + Sonar_Echo2, + Sonar_Echo3, + Sonar_Echo4, + Sonar_Echo5, + Sonar_SDI, + Sonar_SDO, + Sonar_SCK, + Sonar_NCS, + Sonar_NIRQ), + motors(motorsin), + ui(uiin), + predictthread(predictloopwrapper, this, osPriorityNormal, 512), + predictticker( SIGTICKARGS(predictthread, 0x1) ), +// sonarthread(sonarloopwrapper, this, osPriorityNormal, 256), +// sonarticker( SIGTICKARGS(sonarthread, 0x1) ), + updatethread(updateloopwrapper, this, osPriorityNormal, 512) { + + //Initilising offsets + InitLock.lock(); + IR_Offset = 0; + Sonar_Offset = 0; + InitLock.unlock(); + + + //Initilising matrices + + // X = x, y, theta; + if (Colour) + X = 0.5, 0, 0; + else + X = 2.5, 0, PI; + + P = 1, 0, 0, + 0, 1, 0, + 0, 0, 0.04; + + //measurment variance R is provided by each sensor when calling runupdate + + //attach callback + sonararray.callbackobj = (DummyCT*)this; + sonararray.mcallbackfunc = (void (DummyCT::*)(int beaconnum, float distance, float variance)) &Kalman::runupdate; + + + predictticker.start(20); +// sonarticker.start(50); + +} + + +//Note: this init function assumes that the robot faces east, theta=0, in the +x direction +void Kalman::KalmanInit() { + motors.stop(); + float SonarMeasuresx1000[3]; + float IRMeasuresloc[3]; + int beacon_cnt = 0; + + +// doesn't work since they break the ISR + /* + #ifdef ROBOT_PRIMARY + LPC_UART3->FCR = LPC_UART3->FCR | 0x06; // Flush the serial FIFO buffer / OR with FCR + #else + LPC_UART1->FCR = LPC_UART1->FCR | 0x06; // Flush the serial FIFO buffer / OR with FCR + #endif + */ + // zeros the measurements + for (int i = 0; i < 3; i++) { + SonarMeasures[i] = 0; + IRMeasures[i] = 0; + } + + InitLock.lock(); + //zeros offsets + IR_Offset = 0; + Sonar_Offset = 0; + InitLock.unlock(); + + // attaches ir interrup + ir.attachisr(); + + //wating untill the IR has reved up and picked up some valid data + //Thread::wait(1000); + wait(2); + + //temporaraly disable IR updates + ir.detachisr(); + + //lock the state throughout the computation, as we will override the state at the end + InitLock.lock(); + statelock.lock(); + + + + SonarMeasuresx1000[0] = SonarMeasures[0]*1000.0f; + SonarMeasuresx1000[1] = SonarMeasures[1]*1000.0f; + SonarMeasuresx1000[2] = SonarMeasures[2]*1000.0f; + IRMeasuresloc[0] = IRMeasures[0]; + IRMeasuresloc[1] = IRMeasures[1]; + IRMeasuresloc[2] = IRMeasures[2]; + //printf("0: %0.4f, 1: %0.4f, 2: %0.4f \n\r", IRMeasuresloc[0]*180/PI, IRMeasuresloc[1]*180/PI, IRMeasuresloc[2]*180/PI); + + float d = beaconpos[2].y - beaconpos[1].y; + float i = beaconpos[0].y - beaconpos[1].y; + float j = beaconpos[0].x - beaconpos[1].x; + float origin_x = beaconpos[1].x; + float y_coor = (SonarMeasuresx1000[1]*SonarMeasuresx1000[1]- SonarMeasuresx1000[2]*SonarMeasuresx1000[2] + d*d) / (2*d); + float x_coor = origin_x + (SonarMeasuresx1000[1]*SonarMeasuresx1000[1] - SonarMeasuresx1000[0]*SonarMeasuresx1000[0] + i*i + j*j)/(2*j) - i*y_coor/j; + + //debug for trilateration + printf("Cal at x: %0.4f, y: %0.4f \r\n",x_coor,y_coor ); + + float Dist_Exp[3]; + for (int i = 0; i < 3; i++) { + //Compute sonar offset + Dist_Exp[i] = hypot(beaconpos[i].y - y_coor,beaconpos[i].x - x_coor); + Sonar_Offset += (SonarMeasuresx1000[i]-Dist_Exp[i])/3000.0f; + + //Compute IR offset + float angle_est = atan2(beaconpos[i].y - y_coor,beaconpos[i].x - x_coor); + if (!Colour) + angle_est -= PI; + //printf("Angle %d : %f \n\r",i,angle_est*180/PI ); + // take average offset angle from valid readings + if (IRMeasuresloc[i] != 0) { + beacon_cnt ++; + // changed to current angle - estimated angle + float angle_temp = IRMeasuresloc[i] - angle_est; + angle_temp -= (floor(angle_temp/(2*PI)))*2*PI; + IR_Offset += angle_temp; + } + } + IR_Offset /= float(beacon_cnt); + + //debug + printf("Offsets IR: %0.4f, Sonar: %0.4f \r\n",IR_Offset*180/PI,Sonar_Offset*1000 ); + + //statelock already locked + X(0) = x_coor/1000.0f; + X(1) = y_coor/1000.0f; + + if (Colour) + X(2) = 0; + else + X(2) = PI; + + // unlocks mutexes + InitLock.unlock(); + statelock.unlock(); + + + //reattach the IR processing + ir.attachisr(); +} + + +void Kalman::predictloop() { + + OLED4 = !ui.regid(0, 3); + OLED4 = !ui.regid(1, 4); + + float lastleft = 0; + float lastright = 0; + + while (1) { + Thread::signal_wait(0x1); + OLED1 = !OLED1; + + int leftenc = motors.getEncoder1(); + int rightenc = motors.getEncoder2(); + + float dleft = motors.encoderToDistance(leftenc-lastleft)/1000.0f; + float dright = motors.encoderToDistance(rightenc-lastright)/1000.0f; + + lastleft = leftenc; + lastright = rightenc; + + + //The below calculation are in body frame (where +x is forward) + float dxp, dyp,d,r; + float thetap = (dright - dleft)*PI / (float(robotCircumference)/1000.0f); + if (abs(thetap) < 0.02) { //if the rotation through the integration step is small, approximate with a straight line to avoid numerical error + d = (dright + dleft)/2.0f; + dxp = d*cos(thetap/2.0f); + dyp = d*sin(thetap/2.0f); + + } else { //calculate circle arc + //float r = (right + left) / (4.0f * PI * thetap); + r = (dright + dleft) / (2.0f*thetap); + dxp = abs(r)*sin(thetap); + dyp = r - r*cos(thetap); + } + + statelock.lock(); + + float tempX2 = X(2); + //rotating to cartesian frame and updating state + X(0) += dxp * cos(X(2)) - dyp * sin(X(2)); + X(1) += dxp * sin(X(2)) + dyp * cos(X(2)); + X(2) = rectifyAng(X(2) + thetap); + + //Linearising F around X + float avgX2 = (X(2) + tempX2)/2.0f; + Matrix<float, 3, 3> F; + F = 1, 0, (dxp * -sin(avgX2) - dyp * cos(avgX2)), + 0, 1, (dxp * cos(avgX2) - dyp * sin(avgX2)), + 0, 0, 1; + + //Generating forward and rotational variance + float varfwd = fwdvarperunit * abs(dright + dleft) / 2.0f; + float varang = varperang * abs(thetap); + float varxydt = xyvarpertime * PREDICTPERIOD/1000.0f; + float varangdt = angvarpertime * PREDICTPERIOD/1000.0f; + + //Rotating into cartesian frame + Matrix<float, 2, 2> Qsub,Qsubrot,Qrot; + Qsub = varfwd + varxydt, 0, + 0, varxydt; + + Qrot = Rotmatrix(X(2)); + + Qsubrot = Qrot * Qsub * trans(Qrot); + + //Generate Q + Matrix<float, 3, 3> Q;//(Qsubrot); + Q = Qsubrot(0,0), Qsubrot(0,1), 0, + Qsubrot(1,0), Qsubrot(1,1), 0, + 0, 0, varang + varangdt; + + P = F * P * trans(F) + Q; + + //Update UI + float statecpy[] = {X(0), X(1), X(2)}; + ui.updateval(0, statecpy, 3); + + float Pcpy[] = {P(0,0), P(0,1), P(1,0), P(1,1)}; + ui.updateval(1, Pcpy, 4); + + statelock.unlock(); + } +} + +//void Kalman::sonarloop() { +// while (1) { +// Thread::signal_wait(0x1); +// sonararray.startRange(); +// } +//} + + +void Kalman::runupdate(measurement_t type, float value, float variance) { + //printf("beacon %d dist %f\r\n", sonarid, dist); + //led2 = !led2; + + measurmentdata* measured = (measurmentdata*)measureMQ.alloc(); + if (measured) { + measured->mtype = type; + measured->value = value; + measured->variance = variance; + + osStatus putret = measureMQ.put(measured); + if (putret) + OLED4 = 1; + // printf("putting in MQ error code %#x\r\n", putret); + } else { + OLED4 = 1; + //printf("MQalloc returned NULL ptr\r\n"); + } + +} + +void Kalman::updateloop() { + + //sonar Y chanels + ui.regid(2, 1); + ui.regid(3, 1); + ui.regid(4, 1); + + //IR Y chanels + ui.regid(5, 1); + ui.regid(6, 1); + ui.regid(7, 1); + + measurement_t type; + float value,variance,rbx,rby,expecdist,Y; + float dhdx,dhdy; + bool aborton2stddev = false; + + Matrix<float, 1, 3> H; + + float S; + Matrix<float, 3, 3> I3( identity< Matrix<float, 3, 3> >() ); + + + while (1) { + OLED2 = !OLED2; + + osEvent evt = measureMQ.get(); + + if (evt.status == osEventMail) { + + measurmentdata &measured = *(measurmentdata*)evt.value.p; + type = measured.mtype; //Note, may support more measurment types than sonar in the future! + value = measured.value; + variance = measured.variance; + + // don't forget to free the memory + measureMQ.free(&measured); + + if (type <= maxmeasure) { + + if (type <= SONAR3) { + + InitLock.lock(); + float dist = value / 1000.0f - Sonar_Offset; //converting to m from mm,subtract the offset + InitLock.unlock(); + + int sonarid = type; + aborton2stddev = true; + + statelock.lock(); + //update the current sonar readings + SonarMeasures[sonarid] = dist; + + rbx = X(0) - beaconpos[sonarid].x/1000.0f; + rby = X(1) - beaconpos[sonarid].y/1000.0f; + + expecdist = hypot(rbx, rby);//sqrt(rbx*rbx + rby*rby); + Y = dist - expecdist; + + //send to ui + ui.updateval(sonarid+2, Y); + + dhdx = rbx / expecdist; + dhdy = rby / expecdist; + + H = dhdx, dhdy, 0; + + } else if (type <= IR3) { + + aborton2stddev = false; + int IRidx = type-3; + + // subtract the IR offset + InitLock.lock(); + value -= IR_Offset; + InitLock.unlock(); + + statelock.lock(); + IRMeasures[IRidx] = value; + + rbx = X(0) - beaconpos[IRidx].x/1000.0f; + rby = X(1) - beaconpos[IRidx].y/1000.0f; + + float expecang = atan2(-rby, -rbx) - X(2); + Y = rectifyAng(value - expecang); + + //send to ui + ui.updateval(IRidx + 5, Y); + + float dstsq = rbx*rbx + rby*rby; + H = -rby/dstsq, rbx/dstsq, -1; + } + + Matrix<float, 3, 1> PH (P * trans(H)); + S = (H * PH)(0,0) + variance; + + if (aborton2stddev && Y*Y > 4 * S) { + statelock.unlock(); + continue; + } + + Matrix<float, 3, 1> K (PH * (1/S)); + + //Updating state + X += col(K, 0) * Y; + X(2) = rectifyAng(X(2)); + + P = (I3 - K * H) * P; + + statelock.unlock(); + + } + + } else { + OLED4 = 1; + //printf("ERROR: in updateloop, code %#x", evt); + } + + } + +} + +// reset kalman states +void Kalman::KalmanReset() { + float SonarMeasuresx1000[3]; + statelock.lock(); + SonarMeasuresx1000[0] = SonarMeasures[0]*1000.0f; + SonarMeasuresx1000[1] = SonarMeasures[1]*1000.0f; + SonarMeasuresx1000[2] = SonarMeasures[2]*1000.0f; + //printf("0: %0.4f, 1: %0.4f, 2: %0.4f \n\r", IRMeasuresloc[0]*180/PI, IRMeasuresloc[1]*180/PI, IRMeasuresloc[2]*180/PI); + + float d = beaconpos[2].y - beaconpos[1].y; + float i = beaconpos[0].y - beaconpos[1].y; + float j = beaconpos[0].x - beaconpos[1].x; + float origin_x = beaconpos[1].x; + float y_coor = (SonarMeasuresx1000[1]*SonarMeasuresx1000[1]- SonarMeasuresx1000[2]*SonarMeasuresx1000[2] + d*d) / (2*d); + float x_coor = origin_x +(SonarMeasuresx1000[1]*SonarMeasuresx1000[1] - SonarMeasuresx1000[0]*SonarMeasuresx1000[0] + i*i + j*j)/(2*j) - i*y_coor/j; + + //statelock already locked + X(0) = x_coor/1000.0f; + X(1) = y_coor/1000.0f; + + + +/* if (Colour){ + X(0) = 0.2; + X(1) = 0.2; + //X(2) = 0; + } + else { + X(0) = 2.8; + X(1) = 0.2; + //X(2) = PI; + } + */ + P = 0.05, 0, 0, + 0, 0.05, 0, + 0, 0, 0.04; + + // unlocks mutexes + statelock.unlock(); + +} \ No newline at end of file
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Kalman/Kalman.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,100 @@ +#ifndef KALMAN_H +#define KALMAN_H + +#include "globals.h" + + +#include "rtos.h" +//#include "Matrix.h" +#include "motors.h" +#include "RFSRF05.h" +#include "IR.h" +#include "ui.h" + +#include <tvmet/Matrix.h> +#include <tvmet/Vector.h> +using namespace tvmet; + + +class Kalman { +public: + enum measurement_t {SONAR1 = 0, SONAR2, SONAR3, IR1, IR2, IR3}; + static const measurement_t maxmeasure = IR3; + + Kalman(Motors &motorsin, + UI &uiin, + PinName Sonar_Trig, + PinName Sonar_Echo0, + PinName Sonar_Echo1, + PinName Sonar_Echo2, + PinName Sonar_Echo3, + PinName Sonar_Echo4, + PinName Sonar_Echo5, + PinName Sonar_SDI, + PinName Sonar_SDO, + PinName Sonar_SCK, + PinName Sonar_NCS, + PinName Sonar_NIRQ); + + void predict(); + void runupdate(measurement_t type, float value, float variance); + + //State variables + Vector<float, 3> X; + Matrix<float, 3, 3> P; + Mutex statelock; + + float SonarMeasures[3]; + float IRMeasures[3]; + float IR_Offset; + float Sonar_Offset; + Mutex InitLock; + + bool Kalman_init; + + //The IR is public so it's possible to print the offset in the print function + IR ir; + + //Initialises the kalman filter + void KalmanInit(); + + // reset kalman states + void KalmanReset(); + +private: + + //Sensor interfaces + RFSRF05 sonararray; + Motors& motors; + UI& ui; + + Thread predictthread; + void predictloop(); + static void predictloopwrapper(void const *argument) { + ((Kalman*)argument)->predictloop(); + } + RtosTimer predictticker; + +// Thread sonarthread; +// void sonarloop(); +// static void sonarloopwrapper(void const *argument){ ((Kalman*)argument)->sonarloop(); } +// RtosTimer sonarticker; + + struct measurmentdata { + measurement_t mtype; + float value; + float variance; + } ; + + Mail <measurmentdata, 16> measureMQ; + + Thread updatethread; + void updateloop(); + static void updateloopwrapper(void const *argument) { + ((Kalman*)argument)->updateloop(); + } + + +}; + +#endif //KALMAN_H \ No newline at end of file
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Kalman/Sonar/RF12B/RF12B.cpp Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,400 @@ +#include "RF12B.h" + +#include "RF_defs.h" +#include <algorithm> +#include "system.h" +#include "globals.h" + + +RF12B::RF12B(PinName _SDI, + PinName _SDO, + PinName _SCK, + PinName _NCS, + PinName _NIRQ):spi(_SDI, _SDO, _SCK), + NCS(_NCS), NIRQ(_NIRQ), NIRQ_in(_NIRQ) {// rfled(LED3) { + + // SPI frequency, word lenght, polarity and phase */ + spi.format(16,0); + spi.frequency(2000000); + + // Set ~CS high + NCS = 1; + + // Initialise RF Module + init(); + + // Setup interrupt to happen on falling edge of NIRQ + NIRQ.fall(this, &RF12B::rxISR); +} + +// Returns the packet length if data is available in the receive buffer, 0 otherwise +//unsigned int RF12B::available() { +// return fifo.size(); +//} + +// Reads a packet of data, with length "size" Returns false if read failed. TODO: make a metafifo to isolate packets +/*bool RF12B::read(unsigned char* data, unsigned int size) { + if (fifo.size() == 0) { + return false; + } else { + unsigned int i = 0; + while (fifo.size() > 0 && i < size) { + data[i++] = fifo.front(); + fifo.pop(); + } + return true; + } +} +*/ + +// Reads a byte of data from the receive buffer +/* +unsigned char RF12B::read() { + if (available()) { + unsigned char data = fifo.front(); + fifo.pop(); + return data; + } else { + return 0xFF; // Error val although could also be data... + } +} +*/ + +// Sends a packet of data to the RF module for transmission TODO: Make asych +void RF12B::write(unsigned char *data, unsigned char length) { + unsigned char crc = 0; + + // Transmitter mode + changeMode(TX); + + writeCmd(0x0000); + send(0xAA); // PREAMBLE + send(0xAA); + send(0xAA); + send(0x2D); // SYNC + send(0xD4); + // Packet Length + send(length); + crc = crc8(crc, length); + send(crc); + crc = crc8(crc, crc); + // Packet Data + for (unsigned char i=0; i<length; i++) { + send(data[i]); + crc = crc8(crc, data[i]); + } + send(crc); + send(0xAA); // DUMMY BYTES + send(0xAA); + send(0xAA); + + // Back to receiver mode + changeMode(RX); + status(); + + +} + +// Transmit a 1-byte data packet +void RF12B::write(unsigned char data) { + write(&data, 1); +} +/* +void RF12B::write(queue<char> &data, int length) { + char crc = 0; + char length_byte = 0; + + // -1 means try to transmit everything in the queue + if (length == -1) { + length = data.size(); + } + + // max length of packet is 255 + length_byte = min(length, 255); + + // Transmitter mode + changeMode(TX); + + writeCmd(0x0000); + send(0xAA); // PREAMBLE + send(0xAA); + send(0xAA); + send(0x2D); // SYNC + send(0xD4); + // Packet Length + send(length_byte); + crc = crc8(crc, length_byte); + send(crc); + crc = crc8(crc, crc); + // Packet Data + for (char i=0; i<length_byte; i++) { + send(data.front()); + crc = crc8(crc, data.front()); + data.pop(); + } + send(crc); + send(0xAA); // DUMMY BYTES + send(0xAA); + send(0xAA); + + // Back to receiver mode + changeMode(RX); + status(); +} +*/ +/********************************************************************** + * PRIVATE FUNCTIONS + *********************************************************************/ + +// Initialises the RF12B module +void RF12B::init() { + // writeCmd(0x80E7); //EL,EF,868band,12.0pF + changeMode(RX); + writeCmd(0xA640); //frequency select + writeCmd(0xC647); //4.8kbps + writeCmd(0x94A0); //VDI,FAST,134kHz,0dBm,-103dBm + writeCmd(0xC2AC); //AL,!ml,DIG,DQD4 + writeCmd(0xCA81); //FIFO8,SYNC,!ff,DR + writeCmd(0xCED4); //SYNC=2DD4 + writeCmd(0xC483); //@PWR,NO RSTRIC,!st,!fi,OE,EN + writeCmd(0x9850); //!mp,90kHz,MAX OUT + writeCmd(0xCC17); //OB1, COB0, LPX, Iddy, CDDIT�CBW0 + writeCmd(0xE000); //NOT USED + writeCmd(0xC800); //NOT USED + writeCmd(0xC040); //1.66MHz,2.2V + + writeCmd( + RFM_CONFIG_EL | + RFM_CONFIG_EF | + RFM_CONFIG_BAND_433 //| + //RFM_CONFIG_X_11_0pf // meh, using default + ); + + // 2. Power Management Command + // leave everything switched off for now + /* + writeCmd( + RFM_POWER_MANAGEMENT // switch all off + ); + */ + + // 3. Frequency Setting Command + writeCmd( + RFM_FREQUENCY | + RFM_FREQ_433Band(435.7) //I totally made this value up... if someone knows where the sweetspots are in this band, tell me! + ); + + + // 4. Data Rate Command + //writeCmd(RFM_DATA_RATE_9600); + writeCmd(RFM_DATA_RATE_57600); + + + // 5. Receiver Control Command + writeCmd( + RFM_RX_CONTROL_P20_VDI | + RFM_RX_CONTROL_VDI_FAST | + //RFM_RX_CONTROL_BW(RFM_BAUD_RATE) | + RFM_RX_CONTROL_BW_134 | // CHANGE THIS TO 67 TO IMPROVE RANGE! (though the bitrate must then be below 8kbaud, and fsk modulation changed) + RFM_RX_CONTROL_GAIN_0 | + RFM_RX_CONTROL_RSSI_103 // Might need adjustment. Datasheet says around 10^-5 bit error rate at this level and baudrate. + ); + + // 6. Data Filter Command + writeCmd( + RFM_DATA_FILTER_AL | + RFM_DATA_FILTER_ML | + RFM_DATA_FILTER_DIG //| + //RFM_DATA_FILTER_DQD(4) + ); + + // 7. FIFO and Reset Mode Command + writeCmd( + RFM_FIFO_IT(8) | + RFM_FIFO_DR | + 0x8 //turn on 16bit sync word + ); + + // 8. FIFO Syncword + // Leave as default: 0xD4 + + // 9. Receiver FIFO Read + // when the interupt goes high, (and if we can assume that it was a fifo fill interrupt) we can read a byte using: + // result = RFM_READ_FIFO(); + + // 10. AFC Command + writeCmd( + //RFM_AFC_AUTO_VDI | //Note this might be changed to improve range. Refer to datasheet. + RFM_AFC_AUTO_INDEPENDENT | + RFM_AFC_RANGE_LIMIT_7_8 | + RFM_AFC_EN | + RFM_AFC_OE | + RFM_AFC_FI + ); + + // 11. TX Configuration Control Command + writeCmd( + RFM_TX_CONTROL_MOD_60 | + RFM_TX_CONTROL_POW_0 + ); + + + // 12. PLL Setting Command + writeCmd( + 0xCC77 & ~0x01 // Setting the PLL bandwith, less noise, but max bitrate capped at 86.2 + // I think this will slow down the pll's reaction time. Not sure, check with someone! + ); + + changeMode(RX); + resetRX(); + status(); +} + +/* Write a command to the RF Module */ +unsigned int RF12B::writeCmd(unsigned int cmd) { + NCS = 0; + unsigned int recv = spi.write(cmd); + NCS = 1; + return recv; +} + +/* Sends a byte of data across RF */ +void RF12B::send(unsigned char data) { + while (NIRQ); + writeCmd(0xB800 + data); +} + +/* Change the mode of the RF module to Transmitting or Receiving */ +void RF12B::changeMode(rfmode_t _mode) { + mode = _mode; + if (_mode == TX) { + writeCmd(0x8239); //!er,!ebb,ET,ES,EX,!eb,!ew,DC + } else { /* mode == RX */ + writeCmd(0x8299); //er,!ebb,ET,ES,EX,!eb,!ew,DC + } +} + +// Interrupt routine for data reception */ +void RF12B::rxISR() { + + unsigned int data = 0; + static int i = -2; + static unsigned char packet_length = 0; + static unsigned char crc = 0; +// #ifdef ROBOT_SECONDARY + static unsigned char temp; +// #endif + + //Loop while interrupt is asserted + while (!NIRQ_in && mode == RX) { + + // Grab the packet's length byte + if (i == -2) { + data = writeCmd(0x0000); + if ( (data&0x8000) ) { + data = writeCmd(0xB000); + packet_length = (data&0x00FF); + crc = crc8(crc, packet_length); + i++; + } + } + + //If we exhaust the interrupt, exit + if (NIRQ_in) + break; + + // Check that packet length was correct + if (i == -1) { + data = writeCmd(0x0000); + if ( (data&0x8000) ) { + data = writeCmd(0xB000); + unsigned char crcofsize = (data&0x00FF); + if (crcofsize != crc) { + //It was wrong, start over + i = -2; + packet_length = 0; + crc = 0; + //temp = queue<unsigned char>(); + resetRX(); + } else { + crc = crc8(crc, crcofsize); + i++; + } + } + } + + //If we exhaust the interrupt, exit + if (NIRQ_in) + break; + + // Grab the packet's data + if (i >= 0 && i < packet_length) { + data = writeCmd(0x0000); + if ( (data&0x8000) ) { + data = writeCmd(0xB000); + // #ifdef ROBOT_SECONDARY + temp = data&0x00FF; + // #endif + //temp.push(data&0x00FF); + crc = crc8(crc, (unsigned char)(data&0x00FF)); + i++; + } + } + + //If we exhaust the interrupt, exit + if (NIRQ_in) + break; + + if (i >= packet_length) { + data = writeCmd(0x0000); + if ( (data&0x8000) ) { + data = writeCmd(0xB000); + if ((unsigned char)(data & 0x00FF) == crc) { + //If the checksum is correct, add our data to the end of the output buffer + //while (!temp.empty()) { + //fifo.push(temp); + // temp.pop(); +//#ifdef ROBOT_SECONDARY + if (callbackfunc) + (*callbackfunc)(temp); + + if (callbackobj && mcallbackfunc) + (callbackobj->*mcallbackfunc)(temp); +//#endif + // } + } + + // Tell RF Module we are finished, and clean up + i = -2; + packet_length = 0; + crc = 0; + //temp = queue<unsigned char>(); + resetRX(); + } + } + } + +} + +unsigned int RF12B::status() { + return writeCmd(0x0000); +} + +// Tell the RF Module this packet is received and wait for the next */ +void RF12B::resetRX() { + writeCmd(0xCA81); + writeCmd(0xCA83); +}; + +// Calculate CRC8 */ +unsigned char RF12B::crc8(unsigned char crc, unsigned char data) { + crc = crc ^ data; + for (int i = 0; i < 8; i++) { + if (crc & 0x01) { + crc = (crc >> 1) ^ 0x8C; + } else { + crc >>= 1; + } + } + return crc; +} \ No newline at end of file
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Kalman/Sonar/RF12B/RF12B.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,83 @@ +#ifndef _RF12B_H +#define _RF12B_H + +#include "mbed.h" +//#include <queue> + +enum rfmode_t{RX, TX}; + +class DummyCT; + +class RF12B { +public: + /* Constructor */ + RF12B(PinName SDI, + PinName SDO, + PinName SCK, + PinName NCS, + PinName NIRQ); + + + + /* Reads a packet of data. Returns false if read failed. Use available() to check how much space to allocate for buffer */ + bool read(unsigned char* data, unsigned int size); + + /* Reads a byte of data from the receive buffer + Returns 0xFF if there is no data */ + unsigned char read(); + + /* Transmits a packet of data */ + void write(unsigned char* data, unsigned char length); + void write(unsigned char data); /* 1-byte packet */ +// void write(std::queue<char> &data, int length = -1); /* sends a whole queue */ + + /* Returns the packet length if data is available in the receive buffer, 0 otherwise*/ + unsigned int available(); + + /** A assigns a callback function when a new reading is available **/ + void (*callbackfunc)(unsigned char rx_code); + DummyCT* callbackobj; + void (DummyCT::*mcallbackfunc)(unsigned char rx_code); + +protected: + /* Receive FIFO buffer */ +// std::queue<unsigned char> fifo; +// std::queue<unsigned char> temp; //for storing stuff mid-packet + + /* SPI module */ + SPI spi; + + /* Other digital pins */ + DigitalOut NCS; + InterruptIn NIRQ; + DigitalIn NIRQ_in; + //DigitalOut rfled; + + rfmode_t mode; + + /* Initialises the RF12B module */ + void init(); + + /* Write a command to the RF Module */ + unsigned int writeCmd(unsigned int cmd); + + /* Sends a byte of data across RF */ + void send(unsigned char data); + + /* Switch module between receive and transmit modes */ + void changeMode(rfmode_t mode); + + /* Interrupt routine for data reception */ + void rxISR(); + + /* Tell the RF Module this packet is received and wait for the next */ + void resetRX(); + + /* Return the RF Module Status word */ + unsigned int status(); + + /* Calculate CRC8 */ + unsigned char crc8(unsigned char crc, unsigned char data); +}; + +#endif /* _RF12B_H */ \ No newline at end of file
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Kalman/Sonar/RF12B/RF_defs.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,478 @@ +/* + * Open HR20 + * + * target: ATmega169 @ 4 MHz in Honnywell Rondostat HR20E + * + * compiler: WinAVR-20071221 + * avr-libc 1.6.0 + * GCC 4.2.2 + * + * copyright: 2008 Dario Carluccio (hr20-at-carluccio-dot-de) + * 2008 Jiri Dobry (jdobry-at-centrum-dot-cz) + * 2008 Mario Fischer (MarioFischer-at-gmx-dot-net) + * 2007 Michael Smola (Michael-dot-Smola-at-gmx-dot-net) + * + * license: This program is free software; you can redistribute it and/or + * modify it under the terms of the GNU Library General Public + * License as published by the Free Software Foundation; either + * version 2 of the License, or (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see http:*www.gnu.org/licenses + */ + +/* + * \file rfm.h + * \brief functions to control the RFM12 Radio Transceiver Module + * \author Mario Fischer <MarioFischer-at-gmx-dot-net>; Michael Smola <Michael-dot-Smola-at-gmx-dot-net> + * \date $Date: 2010/04/17 17:57:02 $ + * $Rev: 260 $ + */ + + +//#pragma once // multi-iclude prevention. gcc knows this pragma +#ifndef rfm_H +#define rfm_H + + +#define RFM_SPI_16(OUTVAL) rfm_spi16(OUTVAL) //<! a function that gets a uint16_t (clocked out value) and returns a uint16_t (clocked in value) + +#define RFM_CLK_OUTPUT 0 + +/* +#define RFM_TESTPIN_INIT +#define RFM_TESTPIN_ON +#define RFM_TESTPIN_OFF +#define RFM_TESTPIN_TOG + +#define RFM_CONFIG_DISABLE 0x00 //<! RFM_CONFIG_*** are combinable flags, what the RFM shold do +#define RFM_CONFIG_BROADCASTSTATUS 0x01 //<! Flag that enables the HR20's status broadcast every minute + +#define RFM_CONFIG_ENABLEALL 0xff +*/ + + +/////////////////////////////////////////////////////////////////////////////// +// +// RFM status bits +// +/////////////////////////////////////////////////////////////////////////////// + +// Interrupt bits, latched //////////////////////////////////////////////////// + +#define RFM_STATUS_FFIT 0x8000 // RX FIFO reached the progr. number of bits + // Cleared by any FIFO read method + +#define RFM_STATUS_RGIT 0x8000 // TX register is ready to receive + // Cleared by TX write + +#define RFM_STATUS_POR 0x4000 // Power On reset + // Cleared by read status + +#define RFM_STATUS_RGUR 0x2000 // TX register underrun, register over write + // Cleared by read status + +#define RFM_STATUS_FFOV 0x2000 // RX FIFO overflow + // Cleared by read status + +#define RFM_STATUS_WKUP 0x1000 // Wake up timer overflow + // Cleared by read status + +#define RFM_STATUS_EXT 0x0800 // Interupt changed to low + // Cleared by read status + +#define RFM_STATUS_LBD 0x0400 // Low battery detect + +// Status bits //////////////////////////////////////////////////////////////// + +#define RFM_STATUS_FFEM 0x0200 // FIFO is empty +#define RFM_STATUS_ATS 0x0100 // TX mode: Strong enough RF signal +#define RFM_STATUS_RSSI 0x0100 // RX mode: signal strength above programmed limit +#define RFM_STATUS_DQD 0x0080 // Data Quality detector output +#define RFM_STATUS_CRL 0x0040 // Clock recovery lock +#define RFM_STATUS_ATGL 0x0020 // Toggling in each AFC cycle + +/////////////////////////////////////////////////////////////////////////////// +// +// 1. Configuration Setting Command +// +/////////////////////////////////////////////////////////////////////////////// + +#define RFM_CONFIG 0x8000 + +#define RFM_CONFIG_EL 0x8080 // Enable TX Register +#define RFM_CONFIG_EF 0x8040 // Enable RX FIFO buffer +#define RFM_CONFIG_BAND_315 0x8000 // Frequency band +#define RFM_CONFIG_BAND_433 0x8010 +#define RFM_CONFIG_BAND_868 0x8020 +#define RFM_CONFIG_BAND_915 0x8030 +#define RFM_CONFIG_X_8_5pf 0x8000 // Crystal Load Capacitor +#define RFM_CONFIG_X_9_0pf 0x8001 +#define RFM_CONFIG_X_9_5pf 0x8002 +#define RFM_CONFIG_X_10_0pf 0x8003 +#define RFM_CONFIG_X_10_5pf 0x8004 +#define RFM_CONFIG_X_11_0pf 0x8005 +#define RFM_CONFIG_X_11_5pf 0x8006 +#define RFM_CONFIG_X_12_0pf 0x8007 +#define RFM_CONFIG_X_12_5pf 0x8008 +#define RFM_CONFIG_X_13_0pf 0x8009 +#define RFM_CONFIG_X_13_5pf 0x800A +#define RFM_CONFIG_X_14_0pf 0x800B +#define RFM_CONFIG_X_14_5pf 0x800C +#define RFM_CONFIG_X_15_0pf 0x800D +#define RFM_CONFIG_X_15_5pf 0x800E +#define RFM_CONFIG_X_16_0pf 0x800F + +/////////////////////////////////////////////////////////////////////////////// +// +// 2. Power Management Command +// +/////////////////////////////////////////////////////////////////////////////// + +#define RFM_POWER_MANAGEMENT 0x8200 + +#define RFM_POWER_MANAGEMENT_ER 0x8280 // Enable receiver +#define RFM_POWER_MANAGEMENT_EBB 0x8240 // Enable base band block +#define RFM_POWER_MANAGEMENT_ET 0x8220 // Enable transmitter +#define RFM_POWER_MANAGEMENT_ES 0x8210 // Enable synthesizer +#define RFM_POWER_MANAGEMENT_EX 0x8208 // Enable crystal oscillator +#define RFM_POWER_MANAGEMENT_EB 0x8204 // Enable low battery detector +#define RFM_POWER_MANAGEMENT_EW 0x8202 // Enable wake-up timer +#define RFM_POWER_MANAGEMENT_DC 0x8201 // Disable clock output of CLK pin + +#ifndef RFM_CLK_OUTPUT + #error RFM_CLK_OUTPUT must be defined to 0 or 1 +#endif +#if RFM_CLK_OUTPUT + #define RFM_TX_ON_PRE() RFM_SPI_16( \ + RFM_POWER_MANAGEMENT_ES | \ + RFM_POWER_MANAGEMENT_EX ) + #define RFM_TX_ON() RFM_SPI_16( \ + RFM_POWER_MANAGEMENT_ET | \ + RFM_POWER_MANAGEMENT_ES | \ + RFM_POWER_MANAGEMENT_EX ) + #define RFM_RX_ON() RFM_SPI_16( \ + RFM_POWER_MANAGEMENT_ER | \ + RFM_POWER_MANAGEMENT_EBB | \ + RFM_POWER_MANAGEMENT_ES | \ + RFM_POWER_MANAGEMENT_EX ) + #define RFM_OFF() RFM_SPI_16( \ + RFM_POWER_MANAGEMENT_EX ) +#else + #define RFM_TX_ON_PRE() RFM_SPI_16( \ + RFM_POWER_MANAGEMENT_DC | \ + RFM_POWER_MANAGEMENT_ES | \ + RFM_POWER_MANAGEMENT_EX ) + #define RFM_TX_ON() RFM_SPI_16( \ + RFM_POWER_MANAGEMENT_DC | \ + RFM_POWER_MANAGEMENT_ET | \ + RFM_POWER_MANAGEMENT_ES | \ + RFM_POWER_MANAGEMENT_EX ) + #define RFM_RX_ON() RFM_SPI_16( \ + RFM_POWER_MANAGEMENT_DC | \ + RFM_POWER_MANAGEMENT_ER | \ + RFM_POWER_MANAGEMENT_EBB | \ + RFM_POWER_MANAGEMENT_ES | \ + RFM_POWER_MANAGEMENT_EX ) + #define RFM_OFF() RFM_SPI_16(RFM_POWER_MANAGEMENT_DC) +#endif +/////////////////////////////////////////////////////////////////////////////// +// +// 3. Frequency Setting Command +// +/////////////////////////////////////////////////////////////////////////////// + +#define RFM_FREQUENCY 0xA000 + +#define RFM_FREQ_315Band(v) (uint16_t)((v/10.0-31)*4000) +#define RFM_FREQ_433Band(v) (uint16_t)((v/10.0-43)*4000) +#define RFM_FREQ_868Band(v) (uint16_t)((v/20.0-43)*4000) +#define RFM_FREQ_915Band(v) (uint16_t)((v/30.0-30)*4000) + +/////////////////////////////////////////////////////////////////////////////// +// +// 4. Data Rate Command +// +///////////////////////////////////////////////////////////////////////////////// + +#define RFM_BAUD_RATE 9600 + +#define RFM_DATA_RATE 0xC600 + +#define RFM_DATA_RATE_CS 0xC680 +#define RFM_DATA_RATE_4800 0xC647 +#define RFM_DATA_RATE_9600 0xC623 +#define RFM_DATA_RATE_19200 0xC611 +#define RFM_DATA_RATE_38400 0xC608 +#define RFM_DATA_RATE_57600 0xC605 + +#define RFM_SET_DATARATE(baud) ( ((baud)<5400) ? (RFM_DATA_RATE_CS|((43104/(baud))-1)) : (RFM_DATA_RATE|((344828UL/(baud))-1)) ) + +/////////////////////////////////////////////////////////////////////////////// +// +// 5. Receiver Control Command +// +/////////////////////////////////////////////////////////////////////////////// + +#define RFM_RX_CONTROL 0x9000 + +#define RFM_RX_CONTROL_P20_INT 0x9000 // Pin20 = ExternalInt +#define RFM_RX_CONTROL_P20_VDI 0x9400 // Pin20 = VDI out + +#define RFM_RX_CONTROL_VDI_FAST 0x9000 // fast VDI Response time +#define RFM_RX_CONTROL_VDI_MED 0x9100 // medium +#define RFM_RX_CONTROL_VDI_SLOW 0x9200 // slow +#define RFM_RX_CONTROL_VDI_ON 0x9300 // Always on + +#define RFM_RX_CONTROL_BW_400 0x9020 // bandwidth 400kHz +#define RFM_RX_CONTROL_BW_340 0x9040 // bandwidth 340kHz +#define RFM_RX_CONTROL_BW_270 0x9060 // bandwidth 270kHz +#define RFM_RX_CONTROL_BW_200 0x9080 // bandwidth 200kHz +#define RFM_RX_CONTROL_BW_134 0x90A0 // bandwidth 134kHz +#define RFM_RX_CONTROL_BW_67 0x90C0 // bandwidth 67kHz + +#define RFM_RX_CONTROL_GAIN_0 0x9000 // LNA gain 0db +#define RFM_RX_CONTROL_GAIN_6 0x9008 // LNA gain -6db +#define RFM_RX_CONTROL_GAIN_14 0x9010 // LNA gain -14db +#define RFM_RX_CONTROL_GAIN_20 0x9018 // LNA gain -20db + +#define RFM_RX_CONTROL_RSSI_103 0x9000 // DRSSI threshold -103dbm +#define RFM_RX_CONTROL_RSSI_97 0x9001 // DRSSI threshold -97dbm +#define RFM_RX_CONTROL_RSSI_91 0x9002 // DRSSI threshold -91dbm +#define RFM_RX_CONTROL_RSSI_85 0x9003 // DRSSI threshold -85dbm +#define RFM_RX_CONTROL_RSSI_79 0x9004 // DRSSI threshold -79dbm +#define RFM_RX_CONTROL_RSSI_73 0x9005 // DRSSI threshold -73dbm +//#define RFM_RX_CONTROL_RSSI_67 0x9006 // DRSSI threshold -67dbm // RF12B reserved +//#define RFM_RX_CONTROL_RSSI_61 0x9007 // DRSSI threshold -61dbm // RF12B reserved + +#define RFM_RX_CONTROL_BW(baud) (((baud)<8000) ? \ + RFM_RX_CONTROL_BW_67 : \ + ( \ + ((baud)<30000) ? \ + RFM_RX_CONTROL_BW_134 : \ + RFM_RX_CONTROL_BW_200 \ + )) + +/////////////////////////////////////////////////////////////////////////////// +// +// 6. Data Filter Command +// +/////////////////////////////////////////////////////////////////////////////// + +#define RFM_DATA_FILTER 0xC228 + +#define RFM_DATA_FILTER_AL 0xC2A8 // clock recovery auto-lock +#define RFM_DATA_FILTER_ML 0xC268 // clock recovery fast mode +#define RFM_DATA_FILTER_DIG 0xC228 // data filter type digital +#define RFM_DATA_FILTER_ANALOG 0xC238 // data filter type analog +#define RFM_DATA_FILTER_DQD(level) (RFM_DATA_FILTER | (level & 0x7)) + +/////////////////////////////////////////////////////////////////////////////// +// +// 7. FIFO and Reset Mode Command +// +/////////////////////////////////////////////////////////////////////////////// + +#define RFM_FIFO 0xCA00 + +#define RFM_FIFO_AL 0xCA04 // FIFO Start condition sync-word/always +#define RFM_FIFO_FF 0xCA02 // Enable FIFO fill +#define RFM_FIFO_DR 0xCA01 // Disable hi sens reset mode +#define RFM_FIFO_IT(level) (RFM_FIFO | (( (level) & 0xF)<<4)) + +#define RFM_FIFO_OFF() RFM_SPI_16(RFM_FIFO_IT(8) | RFM_FIFO_DR) +#define RFM_FIFO_ON() RFM_SPI_16(RFM_FIFO_IT(8) | RFM_FIFO_FF | RFM_FIFO_DR) + +///////////////////////////////////////////////////////////////////////////// +// +// 8. Receiver FIFO Read +// +///////////////////////////////////////////////////////////////////////////// + +#define RFM_READ_FIFO() (RFM_SPI_16(0xB000) & 0xFF) + +///////////////////////////////////////////////////////////////////////////// +// +// 9. AFC Command +// +///////////////////////////////////////////////////////////////////////////// + +#define RFM_AFC 0xC400 + +#define RFM_AFC_EN 0xC401 +#define RFM_AFC_OE 0xC402 +#define RFM_AFC_FI 0xC404 +#define RFM_AFC_ST 0xC408 + +// Limits the value of the frequency offset register to the next values: + +#define RFM_AFC_RANGE_LIMIT_NO 0xC400 // 0: No restriction +#define RFM_AFC_RANGE_LIMIT_15_16 0xC410 // 1: +15 fres to -16 fres +#define RFM_AFC_RANGE_LIMIT_7_8 0xC420 // 2: +7 fres to -8 fres +#define RFM_AFC_RANGE_LIMIT_3_4 0xC430 // 3: +3 fres to -4 fres + +// fres=2.5 kHz in 315MHz and 433MHz Bands +// fres=5.0 kHz in 868MHz Band +// fres=7.5 kHz in 915MHz Band + +#define RFM_AFC_AUTO_OFF 0xC400 // 0: Auto mode off (Strobe is controlled by microcontroller) +#define RFM_AFC_AUTO_ONCE 0xC440 // 1: Runs only once after each power-up +#define RFM_AFC_AUTO_VDI 0xC480 // 2: Keep the foffset only during receiving(VDI=high) +#define RFM_AFC_AUTO_INDEPENDENT 0xC4C0 // 3: Keep the foffset value independently trom the state of the VDI signal + +/////////////////////////////////////////////////////////////////////////////// +// +// 10. TX Configuration Control Command +// +/////////////////////////////////////////////////////////////////////////////// + +#define RFM_TX_CONTROL 0x9800 + +#define RFM_TX_CONTROL_POW_0 0x9800 +#define RFM_TX_CONTROL_POW_3 0x9801 +#define RFM_TX_CONTROL_POW_6 0x9802 +#define RFM_TX_CONTROL_POW_9 0x9803 +#define RFM_TX_CONTROL_POW_12 0x9804 +#define RFM_TX_CONTROL_POW_15 0x9805 +#define RFM_TX_CONTROL_POW_18 0x9806 +#define RFM_TX_CONTROL_POW_21 0x9807 +#define RFM_TX_CONTROL_MOD_15 0x9800 +#define RFM_TX_CONTROL_MOD_30 0x9810 +#define RFM_TX_CONTROL_MOD_45 0x9820 +#define RFM_TX_CONTROL_MOD_60 0x9830 +#define RFM_TX_CONTROL_MOD_75 0x9840 +#define RFM_TX_CONTROL_MOD_90 0x9850 +#define RFM_TX_CONTROL_MOD_105 0x9860 +#define RFM_TX_CONTROL_MOD_120 0x9870 +#define RFM_TX_CONTROL_MOD_135 0x9880 +#define RFM_TX_CONTROL_MOD_150 0x9890 +#define RFM_TX_CONTROL_MOD_165 0x98A0 +#define RFM_TX_CONTROL_MOD_180 0x98B0 +#define RFM_TX_CONTROL_MOD_195 0x98C0 +#define RFM_TX_CONTROL_MOD_210 0x98D0 +#define RFM_TX_CONTROL_MOD_225 0x98E0 +#define RFM_TX_CONTROL_MOD_240 0x98F0 +#define RFM_TX_CONTROL_MP 0x9900 + +#define RFM_TX_CONTROL_MOD(baud) (((baud)<8000) ? \ + RFM_TX_CONTROL_MOD_45 : \ + ( \ + ((baud)<20000) ? \ + RFM_TX_CONTROL_MOD_60 : \ + ( \ + ((baud)<30000) ? \ + RFM_TX_CONTROL_MOD_75 : \ + ( \ + ((baud)<40000) ? \ + RFM_TX_CONTROL_MOD_90 : \ + RFM_TX_CONTROL_MOD_120 \ + ) \ + ) \ + )) + +///////////////////////////////////////////////////////////////////////////// +// +// 11. Transmitter Register Write Command +// +///////////////////////////////////////////////////////////////////////////// + +//#define RFM_WRITE(byte) RFM_SPI_16(0xB800 | ((byte) & 0xFF)) +#define RFM_WRITE(byte) RFM_SPI_16(0xB800 | (byte) ) + +/////////////////////////////////////////////////////////////////////////////// +// +// 12. Wake-up Timer Command +// +/////////////////////////////////////////////////////////////////////////////// + +#define RFM_WAKEUP_TIMER 0xE000 +#define RFM_WAKEUP_SET(time) RFM_SPI_16(RFM_WAKEUP_TIMER | (time)) + +#define RFM_WAKEUP_480s (RFM_WAKEUP_TIMER |(11 << 8)| 234) +#define RFM_WAKEUP_240s (RFM_WAKEUP_TIMER |(10 << 8)| 234) +#define RFM_WAKEUP_120s (RFM_WAKEUP_TIMER |(9 << 8)| 234) +#define RFM_WAKEUP_119s (RFM_WAKEUP_TIMER |(9 << 8)| 232) + +#define RFM_WAKEUP_60s (RFM_WAKEUP_TIMER |(8 << 8) | 235) +#define RFM_WAKEUP_59s (RFM_WAKEUP_TIMER |(8 << 8) | 230) + +#define RFM_WAKEUP_30s (RFM_WAKEUP_TIMER |(7 << 8) | 235) +#define RFM_WAKEUP_29s (RFM_WAKEUP_TIMER |(7 << 8) | 227) + +#define RFM_WAKEUP_8s (RFM_WAKEUP_TIMER |(5 << 8) | 250) +#define RFM_WAKEUP_7s (RFM_WAKEUP_TIMER |(5 << 8) | 219) +#define RFM_WAKEUP_6s (RFM_WAKEUP_TIMER |(6 << 8) | 94) +#define RFM_WAKEUP_5s (RFM_WAKEUP_TIMER |(5 << 8) | 156) +#define RFM_WAKEUP_4s (RFM_WAKEUP_TIMER |(5 << 8) | 125) +#define RFM_WAKEUP_1s (RFM_WAKEUP_TIMER |(2 << 8) | 250) +#define RFM_WAKEUP_900ms (RFM_WAKEUP_TIMER |(2 << 8) | 225) +#define RFM_WAKEUP_800ms (RFM_WAKEUP_TIMER |(2 << 8) | 200) +#define RFM_WAKEUP_700ms (RFM_WAKEUP_TIMER |(2 << 8) | 175) +#define RFM_WAKEUP_600ms (RFM_WAKEUP_TIMER |(2 << 8) | 150) +#define RFM_WAKEUP_500ms (RFM_WAKEUP_TIMER |(2 << 8) | 125) +#define RFM_WAKEUP_400ms (RFM_WAKEUP_TIMER |(2 << 8) | 100) +#define RFM_WAKEUP_300ms (RFM_WAKEUP_TIMER |(2 << 8) | 75) +#define RFM_WAKEUP_200ms (RFM_WAKEUP_TIMER |(2 << 8) | 50) +#define RFM_WAKEUP_100ms (RFM_WAKEUP_TIMER |(2 << 8) | 25) + +/////////////////////////////////////////////////////////////////////////////// +// +// 13. Low Duty-Cycle Command +// +/////////////////////////////////////////////////////////////////////////////// + +#define RFM_LOW_DUTY_CYCLE 0xC800 + +/////////////////////////////////////////////////////////////////////////////// +// +// 14. Low Battery Detector Command +// +/////////////////////////////////////////////////////////////////////////////// + +#define RFM_LOW_BATT_DETECT 0xC000 +#define RFM_LOW_BATT_DETECT_D_1MHZ 0xC000 +#define RFM_LOW_BATT_DETECT_D_1_25MHZ 0xC020 +#define RFM_LOW_BATT_DETECT_D_1_66MHZ 0xC040 +#define RFM_LOW_BATT_DETECT_D_2MHZ 0xC060 +#define RFM_LOW_BATT_DETECT_D_2_5MHZ 0xC080 +#define RFM_LOW_BATT_DETECT_D_3_33MHZ 0xC0A0 +#define RFM_LOW_BATT_DETECT_D_5MHZ 0xC0C0 +#define RFM_LOW_BATT_DETECT_D_10MHZ 0xC0E0 + +/////////////////////////////////////////////////////////////////////////////// +// +// 15. Status Read Command +// +/////////////////////////////////////////////////////////////////////////////// + +#define RFM_READ_STATUS() RFM_SPI_16(0x0000) +#define RFM_READ_STATUS_FFIT() SPI_1 (0x00) +#define RFM_READ_STATUS_RGIT RFM_READ_STATUS_FFIT + +/////////////////////////////////////////////////////////////////////////////// + +// RFM air protocol flags: + +#define RFMPROTO_FLAGS_BITASK_PACKETTYPE 0b11000000 //!< the uppermost 2 bits of the flags field encode the packettype +#define RFMPROTO_FLAGS_PACKETTYPE_BROADCAST 0b00000000 //!< broadcast packettype (message from hr20, protocol; step 1) +#define RFMPROTO_FLAGS_PACKETTYPE_COMMAND 0b01000000 //!< command packettype (message to hr20, protocol; step 2) +#define RFMPROTO_FLAGS_PACKETTYPE_REPLY 0b10000000 //!< reply packettype (message from hr20, protocol; step 3) +#define RFMPROTO_FLAGS_PACKETTYPE_SPECIAL 0b11000000 //!< currently unused packettype + +#define RFMPROTO_FLAGS_BITASK_DEVICETYPE 0b00011111 //!< the lowermost 5 bytes denote the device type. this way other sensors and actors may coexist +#define RFMPROTO_FLAGS_DEVICETYPE_OPENHR20 0b00010100 //!< topen HR20 device type. 10100 is for decimal 20 + +#define RFMPROTO_IS_PACKETTYPE_BROADCAST(FLAGS) ( RFMPROTO_FLAGS_PACKETTYPE_BROADCAST == ((FLAGS) & RFMPROTO_FLAGS_BITASK_PACKETTYPE) ) +#define RFMPROTO_IS_PACKETTYPE_COMMAND(FLAGS) ( RFMPROTO_FLAGS_PACKETTYPE_COMMAND == ((FLAGS) & RFMPROTO_FLAGS_BITASK_PACKETTYPE) ) +#define RFMPROTO_IS_PACKETTYPE_REPLY(FLAGS) ( RFMPROTO_FLAGS_PACKETTYPE_REPLY == ((FLAGS) & RFMPROTO_FLAGS_BITASK_PACKETTYPE) ) +#define RFMPROTO_IS_PACKETTYPE_SPECIAL(FLAGS) ( RFMPROTO_FLAGS_PACKETTYPE_SPECIAL == ((FLAGS) & RFMPROTO_FLAGS_BITASK_PACKETTYPE) ) +#define RFMPROTO_IS_DEVICETYPE_OPENHR20(FLAGS) ( RFMPROTO_FLAGS_DEVICETYPE_OPENHR20 == ((FLAGS) & RFMPROTO_FLAGS_BITASK_DEVICETYPE) ) + +/////////////////////////////////////////////////////////////////////////////// + +#endif \ No newline at end of file
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Kalman/Sonar/RFSRF05.cpp Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,183 @@ + +#include "RFSRF05.h" +#include "mbed.h" +#include "globals.h" +#include "system.h" + + +RFSRF05::RFSRF05(PinName trigger, + PinName echo0, + PinName echo1, + PinName echo2, + PinName echo3, + PinName echo4, + PinName echo5, + PinName SDI, + PinName SDO, + PinName SCK, + PinName NCS, + PinName NIRQ) + : _rf(SDI,SDO,SCK,NCS,NIRQ), + _trigger(trigger), + _echo0(echo0), + _echo1(echo1), + _echo2(echo2), + _echo3(echo3), + _echo4(echo4), + _echo5(echo5) { + + // initialises codes + codes[0] = CODE0; + codes[1] = CODE1; + codes[2] = CODE2; + + //set callback execute to true + ValidPulse = false; + + // Attach interrupts +#ifdef SONAR_ECHO_INV + // inverted sonar inputs + _echo5.fall(this, &RFSRF05::_rising); + _echo0.rise(this, &RFSRF05::_falling); + _echo1.rise(this, &RFSRF05::_falling); + _echo2.rise(this, &RFSRF05::_falling); + _echo3.rise(this, &RFSRF05::_falling); + _echo4.rise(this, &RFSRF05::_falling); + _echo5.rise(this, &RFSRF05::_falling); +#else + _echo5.rise(this, &RFSRF05::_rising); + _echo0.fall(this, &RFSRF05::_falling); + _echo1.fall(this, &RFSRF05::_falling); + _echo2.fall(this, &RFSRF05::_falling); + _echo3.fall(this, &RFSRF05::_falling); + _echo4.fall(this, &RFSRF05::_falling); + _echo5.fall(this, &RFSRF05::_falling); +#endif + + + //init callabck function + callbackfunc = NULL; + callbackobj = NULL; + mcallbackfunc = NULL; + + // innitialises beacon counter + _beacon_counter = 0; + +#ifdef ROBOT_PRIMARY + //Interrupts every 50ms for primary robot + _ticker.attach(this, &RFSRF05::_startRange, 0.05); +#else + //attach callback + _rf.callbackobj = (DummyCT*)this; + _rf.mcallbackfunc = (void (DummyCT::*)(unsigned char rx_data)) &RFSRF05::startRange; +#endif + +} + +#ifdef ROBOT_PRIMARY +void RFSRF05::_startRange() { + + //printf("Srange\r\r"); + + // increments counter + _beacon_counter = (_beacon_counter + 1) % 3; + + + // set flags + ValidPulse = false; + expValidPulse = true; + + // writes code to RF port + _rf.write(codes[_beacon_counter]); + + // send a trigger pulse, 10uS long + _trigger = 1; + wait_us (10); + _trigger = 0; + +} +#else + +void RFSRF05::startRange(unsigned char rx_code) { + for (int i = 0; i < 3; i++) { + if (rx_code == codes[i]) { + + // assign beacon_counter + _beacon_counter = i; + + // set flags + ValidPulse = false; + expValidPulse = true; + + // send a trigger pulse, 10uS long + _trigger = 1; + wait_us (10); + _trigger = 0; + break; + } + } +} +#endif + +// Clear and start the timer at the begining of the echo pulse +void RFSRF05::_rising(void) { + + _timer.reset(); + _timer.start(); + + //Set callback execute to ture + if (expValidPulse) { + ValidPulse = true; + expValidPulse = false; + } +} + +// Stop and read the timer at the end of the pulse +void RFSRF05::_falling(void) { + _timer.stop(); + + if (ValidPulse) { + //printf("Validpulse trig!\r\n"); + ValidPulse = false; + + //Calucate distance + //true offset is about 100, we put 300 so circles overlap + _dist[_beacon_counter] = _timer.read_us()/2.9 + 300; + + if (callbackfunc) + (*callbackfunc)(_beacon_counter, _dist[_beacon_counter]); + + if (callbackobj && mcallbackfunc) + (callbackobj->*mcallbackfunc)(_beacon_counter, _dist[_beacon_counter], sonarvariance); + + } + +} + +float RFSRF05::read0() { + // returns distance + return (_dist[0]); +} + +float RFSRF05::read1() { + // returns distance + return (_dist[1]); +} + +float RFSRF05::read2() { + // returns distance + return (_dist[2]); +} + +float RFSRF05::read(unsigned int beaconnum) { + // returns distance + return (_dist[beaconnum]); +} + +void RFSRF05::setCode(int code_index, unsigned char code) { + codes[code_index] = code; +} + +//SRF05::operator float() { +// return read(); +//}
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Kalman/Sonar/RFSRF05.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,102 @@ + +#ifndef MBED_RFSRF05_H +#define MBED_RFSRF05_H + + + +#include "mbed.h" +#include "RF12B.h" +#include "globals.h" + + +#define CODE0 0x22 +#define CODE1 0x44 +#define CODE2 0x88 + +/* SAMPLE IMPLEMENTATION! +RFSRF05 my_srf(p13,p21,p22,p23,p24,p25,p26,p5,p6,p7,p8,p9); + + +void callbinmain(int num, float dist) { + //Here is where you deal with your brand new reading ;D +} + +int main() { + pc.printf("Hello World of RobotSonar!\r\n"); + my_srf.callbackfunc = callbinmain; + + while (1); +} + + */ + +class DummyCT; + +class RFSRF05 { +public: + + RFSRF05( + PinName trigger, + PinName echo0, + PinName echo1, + PinName echo2, + PinName echo3, + PinName echo4, + PinName echo5, + PinName SDI, + PinName SDO, + PinName SCK, + PinName NCS, + PinName NIRQ); + + /** A non-blocking function that will return the last measurement + * + * @returns floating point representation of distance in mm + */ + float read0(); + float read1(); + float read2(); + float read(unsigned int beaconnum); + + + /** A assigns a callback function when a new reading is available **/ + void (*callbackfunc)(int beaconnum, float distance); + DummyCT* callbackobj; + void (DummyCT::*mcallbackfunc)(int beaconnum, float distance, float variance); + + //triggers a read + #ifndef ROBOT_PRIMARY + void startRange(unsigned char rx_code); + #endif + + //set codes + void setCode(int code_index, unsigned char code); + unsigned char codes[3]; + + /** A short hand way of using the read function */ + //operator float(); + +private : + RF12B _rf; + DigitalOut _trigger; + InterruptIn _echo0; + InterruptIn _echo1; + InterruptIn _echo2; + InterruptIn _echo3; + InterruptIn _echo4; + InterruptIn _echo5; + Timer _timer; + Ticker _ticker; + #ifdef ROBOT_PRIMARY + void _startRange(void); + #endif + void _rising (void); + void _falling (void); + float _dist[3]; + int _beacon_counter; + bool ValidPulse; + bool expValidPulse; + +}; + +#endif
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/globals.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,99 @@ +#ifndef GLOBALS_H +#define GLOBALS_H + +#include "mbed.h" +#define PI 3.14159265 + + +//#define ROBOT_SECONDARY + +//enables ui +//#define UION + +#ifdef ROBOT_SECONDARY +//Secondary Robot constants in mm +const int robot_width = 260; +const int encoderRevCount = 360; +const int wheelmm = 229; +const int robotCircumference = 816; + + +#else +#define ROBOT_PRIMARY +// invert echo polarity for primary +#define SONAR_ECHO_INV +// Primary Robot constants +const int robot_width = 390; +const int encoderRevCount = 1856; +const int wheelmm = 308; +const int robotCircumference = 1150; +#endif + + + +//Robot movement constants +const float fwdvarperunit = 0.01; //1 std dev = 7% //NEEDS TO BE MEASURED AGAIN! +const float varperang = 0.01; //around 1 degree stddev per 180 turn +const float xyvarpertime = 0.0005; //(very poorly) accounts for hitting things +const float angvarpertime = 0.001; + +//sonar constants +static const float sonarvariance = 0.005; + +//IR constants +static const float IRvariance = 0.001; + +//Arena constants +struct pos { + int x; + int y; +}; + +//beacon positions +extern pos beaconpos[]; + +//Colour +extern bool Colour; // 1 for red, 0 for blue + +//System constants +const int PREDICTPERIOD = 20; //ms + +//High speed serial port +extern Serial pc; + +//I2C mutex +//extern Mutex i2c_rlock; +//extern Mutex i2c_wlock; + + +// IR angle calc +#define RELI_BOUND_LOW 4 +#define RELI_BOUND_HIGH 25 + +// Movement target tolerances +#define POSITION_TOR 20 // in mm +#define ANGLE_TOR 0.06 // in rad + +// motion control + +#ifndef MOVE_SPEED_DEF +#define MOVE_SPEED_DEF +static int MOVE_SPEED = 35; +#endif + +#define MAX_STEP_RATIO 0.10 //maximum change in the speed +//#define TRACK_RATE 10 // +- rate for each wheel when tracking + +#ifdef ROBOT_PRIMARY +#define FWD_MOVE_P 20//18 +#define SPIN_MOVE_P 7//5.8 +#else +#define FWD_MOVE_P 3.2 +#define SPIN_MOVE_P 4 +#endif + +// Task suspend periods +#define IR_TURRET_PERIOD 200 +#define MOTION_UPDATE_PERIOD 20 + +#endif \ No newline at end of file
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/rtos.lib Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,1 @@ +http://mbed.org/users/narshu/code/Eurobot_2012_Primary/#bba76c8b8cf7
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/AliasProxy.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,128 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: AliasProxy.h,v 1.8 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_ALIAS_PROXY_H +#define TVMET_ALIAS_PROXY_H + +namespace tvmet { + + +/** forwards */ +template<class E> class AliasProxy; + + +/** + * \brief Simplify syntax for alias Matrices and Vectors, + * where aliasing left hand values appear in the + * expression. + * \par Example: + * \code + * typedef tvmet::Matrix<double, 10, 10> matrix_type; + * matrix_type m; + * ... + * alias(m) += trans(m); + * \endcode + * \sa AliasProxy + * \sa Some Notes \ref alias + */ +template<class E> +AliasProxy<E> alias(E& expr) { return AliasProxy<E>(expr); } + + +/** + * \class AliasProxy AliasProxy.h "tvmet/AliasProxy.h" + * \brief Assign proxy for alias Matrices and Vectors. + * + * A short lived object to provide simplified alias syntax. + * Only the friend function alias is allowed to create + * such a object. The proxy calls the appropriate member + * alias_xyz() which have to use temporaries to avoid + * overlapping memory regions. + * \sa alias + * \sa Some Notes \ref alias + * \note Thanks to ublas-dev group, where the principle idea + * comes from. + */ +template<class E> +class AliasProxy +{ + AliasProxy(const AliasProxy&); + AliasProxy& operator=(const AliasProxy&); + + friend AliasProxy<E> alias<>(E& expr); + +public: + AliasProxy(E& expr) : m_expr(expr) { } + + + template<class E2> + E& operator=(const E2& expr) { + return m_expr.alias_assign(expr); + } + + template<class E2> + E& operator+=(const E2& expr) { + return m_expr.alias_add_eq(expr); + } + + template<class E2> + E& operator-=(const E2& expr) { + return m_expr.alias_sub_eq(expr); + } + + template<class E2> + E& operator*=(const E2& expr) { + return m_expr.alias_mul_eq(expr); + } + + template<class E2> + E& operator/=(const E2& expr) { + return m_expr.alias_div_eq(expr); + } + +private: + E& m_expr; +}; + + +#if 0 +namespace element_wise { +// \todo to write +template<class E, class E2> +E& operator/=(AliasProxy<E>& proxy, const E2& rhs) { + return proxy.div_upd(rhs); +} + +} +#endif + + +} // namespace tvmet + + +#endif /* TVMET_ALIAS_PROXY_H */ + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/BinaryFunctionals.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,303 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: BinaryFunctionals.h,v 1.24 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_BINARY_FUNCTIONAL_H +#define TVMET_BINARY_FUNCTIONAL_H + +namespace tvmet { + + +/** + * \class Fcnl_assign BinaryFunctionals.h "tvmet/BinaryFunctionals.h" + * \brief Binary operator for assign operations. + * + * Unfortunally we have sometimes to cast on assign operations e.g., + * on assign on different POD. So we avoid warnings. + */ +template <class T1, class T2> +struct Fcnl_assign : public BinaryFunctional { + static inline + void apply_on(T1& _tvmet_restrict lhs, T2 rhs) { + lhs = static_cast<T1>(rhs); + } + + static + void print_xpr(std::ostream& os, std::size_t l=0) { + os << IndentLevel(l) << "fcnl_assign<T1=" + << typeid(T1).name() << ", T2=" << typeid(T2).name() << ">," + << std::endl; + } +}; + + +/** \class Fcnl_add_eq BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_sub_eq BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_mul_eq BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_div_eq BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_mod_eq BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_xor_eq BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_and_eq BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_or_eq BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_shl_eq BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_shr_eq BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template <class T1, class T2> \ +struct Fcnl_##NAME : public BinaryFunctional { \ + typedef void value_type; \ + \ + static inline \ + void apply_on(T1& _tvmet_restrict lhs, T2 rhs) { \ + lhs OP rhs; \ + } \ + \ + static \ + void print_xpr(std::ostream& os, std::size_t l=0) { \ + os << IndentLevel(l) \ + << "Fcnl_" << #NAME << "<T1=" \ + << typeid(T1).name() << ", T2=" << typeid(T2).name() << ">," \ + << std::endl; \ + } \ +}; + +TVMET_IMPLEMENT_MACRO(add_eq, +=) +TVMET_IMPLEMENT_MACRO(sub_eq, -=) +TVMET_IMPLEMENT_MACRO(mul_eq, *=) +TVMET_IMPLEMENT_MACRO(div_eq, /=) +TVMET_IMPLEMENT_MACRO(mod_eq, %=) +TVMET_IMPLEMENT_MACRO(xor_eq, ^=) +TVMET_IMPLEMENT_MACRO(and_eq, &=) +TVMET_IMPLEMENT_MACRO(or_eq, |=) +TVMET_IMPLEMENT_MACRO(shl_eq, <<=) +TVMET_IMPLEMENT_MACRO(shr_eq, >>=) + +#undef TVMET_IMPLEMENT_MACRO + + +/** \class Fcnl_add BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_sub BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_mul BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_div BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_mod BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_bitxor BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_bitand BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_bitor BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_shl BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_shr BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template <class T1, class T2> \ +struct Fcnl_##NAME : public BinaryFunctional { \ + typedef typename PromoteTraits<T1, T2>::value_type value_type; \ + \ + static inline \ + value_type apply_on(T1 lhs, T2 rhs) { \ + return lhs OP rhs; \ + } \ + \ + static \ + void print_xpr(std::ostream& os, std::size_t l=0) { \ + os << IndentLevel(l) \ + << "Fcnl_" << #NAME << "<T1=" \ + << typeid(T1).name() << ", T2=" << typeid(T2).name() << ">," \ + << std::endl; \ + } \ +}; + +TVMET_IMPLEMENT_MACRO(add, +) +TVMET_IMPLEMENT_MACRO(sub, -) +TVMET_IMPLEMENT_MACRO(mul, *) +TVMET_IMPLEMENT_MACRO(div, /) +TVMET_IMPLEMENT_MACRO(mod, %) +TVMET_IMPLEMENT_MACRO(bitxor, ^) +TVMET_IMPLEMENT_MACRO(bitand, &) +TVMET_IMPLEMENT_MACRO(bitor, |) +TVMET_IMPLEMENT_MACRO(shl, <<) +TVMET_IMPLEMENT_MACRO(shr, >>) + +#undef TVMET_IMPLEMENT_MACRO + + +/** \class Fcnl_greater BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_greater_eq BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_less BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_less_eq BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_eq BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_not_eq BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_and BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_or BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template <class T1, class T2> \ +struct Fcnl_##NAME : public BinaryFunctional { \ + typedef bool value_type; \ + \ + static inline \ + bool apply_on(T1 lhs, T2 rhs) { \ + return lhs OP rhs; \ + } \ + \ + static \ + void print_xpr(std::ostream& os, std::size_t l=0) { \ + os << IndentLevel(l) \ + << "Fcnl_" << #NAME << "<T1=" \ + << typeid(T1).name() << ", T2=" << typeid(T2).name() << ">," \ + << std::endl; \ + } \ +}; + +TVMET_IMPLEMENT_MACRO(greater, >) +TVMET_IMPLEMENT_MACRO(less, <) +TVMET_IMPLEMENT_MACRO(greater_eq, >=) +TVMET_IMPLEMENT_MACRO(less_eq, <=) +TVMET_IMPLEMENT_MACRO(eq, ==) +TVMET_IMPLEMENT_MACRO(not_eq, !=) +TVMET_IMPLEMENT_MACRO(and, &&) +TVMET_IMPLEMENT_MACRO(or, ||) + +#undef TVMET_IMPLEMENT_MACRO + + +/** \class Fcnl_atan2 BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_fmod BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_pow BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template <class T1, class T2> \ +struct Fcnl_##NAME : public BinaryFunctional { \ + typedef typename PromoteTraits<T1, T2>::value_type value_type; \ + \ + static inline \ + value_type apply_on(T1 lhs, T2 rhs) { \ + return TVMET_STD_SCOPE(NAME)(lhs, rhs); \ + } \ + \ + static \ + void print_xpr(std::ostream& os, std::size_t l=0) { \ + os << IndentLevel(l) \ + << "Fcnl_" << #NAME << "<T1=" \ + << typeid(T1).name() << ", T2=" << typeid(T2).name() << ">," \ + << std::endl; \ + } \ +}; + +TVMET_IMPLEMENT_MACRO(atan2) +TVMET_IMPLEMENT_MACRO(fmod) +TVMET_IMPLEMENT_MACRO(pow) + +#undef TVMET_IMPLEMENT_MACRO + + +/** \class Fcnl_drem BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_hypot BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_jn BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +/** \class Fcnl_yn BinaryFunctionals.h "tvmet/BinaryFunctionals.h" */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template <class T1, class T2> \ +struct Fcnl_##NAME : public BinaryFunctional { \ + typedef typename PromoteTraits<T1, T2>::value_type value_type; \ + \ + static inline \ + value_type apply_on(T1 lhs, T2 rhs) { \ + return TVMET_GLOBAL_SCOPE(NAME)(lhs, rhs); \ + } \ + \ + static \ + void print_xpr(std::ostream& os, std::size_t l=0) { \ + os << IndentLevel(l) \ + << "Fcnl_" << #NAME << "<T1=" \ + << typeid(T1).name() << ", T2=" << typeid(T2).name() << ">," \ + << std::endl; \ + } \ +}; + +TVMET_IMPLEMENT_MACRO(drem) +TVMET_IMPLEMENT_MACRO(hypot) +TVMET_IMPLEMENT_MACRO(jn) +TVMET_IMPLEMENT_MACRO(yn) + +#undef TVMET_IMPLEMENT_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/** + * \class Fcnl_polar BinaryFunctionals.h "tvmet/BinaryFunctionals.h" + * \brief %Functional for polar. + */ +template <class T1, class T2> struct Fcnl_polar : public BinaryFunctional { }; + + +/** + * \class Fcnl_polar<T,T> BinaryFunctionals.h "tvmet/BinaryFunctionals.h" + * \brief %Functional for polar. + * \note This functional is partialy specialized due to the declaration + * of %polar in namespace std <tt>complex<T> polar(T, T)</tt>. + * This means especially that type promotion isn't avaible here. + */ +template <class T> +struct Fcnl_polar<T,T> : public BinaryFunctional { + typedef std::complex<T> value_type; + + static inline + value_type apply_on(T lhs, T rhs) { + return std::polar(lhs, rhs); + } + + static + void print_xpr(std::ostream& os, std::size_t l=0) { + os << IndentLevel(l) << "Fcnl_polar<T1=" + << typeid(T).name() << ", T2=" << typeid(T).name() << ">," + << std::endl; + } +}; +#endif // defined(TVMET_HAVE_COMPLEX) + + +/** + * \class Fcnl_swap BinaryFunctionals.h "tvmet/BinaryFunctionals.h" + * \brief Binary operator for swapping values using temporaries. + */ +template <class T1, class T2> +struct Fcnl_swap : public BinaryFunctional { + static inline + void apply_on(T1& _tvmet_restrict lhs, T2& _tvmet_restrict rhs) { + typedef typename PromoteTraits<T1, T2>::value_type temp_type; + + temp_type temp(lhs); + lhs = static_cast<T1>(rhs); + rhs = static_cast<T2>(temp); + } + + static + void print_xpr(std::ostream& os, std::size_t l=0) { + os << IndentLevel(l) << "Fcnl_swap<T1=" + << typeid(T1).name() << ", T2" << typeid(T2).name() << ">," + << std::endl; + } +}; + + +} // namespace tvmet + +#endif // TVMET_BINARY_FUNCTIONAL_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/CommaInitializer.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,164 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: CommaInitializer.h,v 1.18 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_COMMA_INITIALIZER_H +#define TVMET_COMMA_INITIALIZER_H + +#include <tvmet/CompileTimeError.h> + +namespace tvmet { + + +/** + * \class CommaInitializer CommaInitializer.h "tvmet/CommaInitializer.h" + * \brief Initialize classes using a comma separated lists. + * + * The comma operator is called when it appears next to an object of + * the type the comma is defined for. However, "operator," is not called + * for function argument lists, only for objects that are out in the open, + * separated by commas (Thinking C++ + * <a href=http://www.ida.liu.se/~TDDA14/online/v1ticpp/Chapter12.html> + * Ch.12: Operator comma</a>). + * + * This implementation uses the same technique as described in Todd Veldhuizen + * Techniques for Scientific C++ + * <a href=http://extreme.indiana.edu/~tveldhui/papers/techniques/techniques01.html#l43> + * chapter 1.11 Comma overloading</a>. + * + * The initializer list is avaible after instanciation of the object, + * therefore use it like: + * \code + * vector3d t; + * t = 1.0, 2.0, 3.0; + * \endcode + * It's evaluated to (((t = 1.0), 2.0), 3.0) + * + * For matrizes the initilization is done row wise. + * + * If the comma separted list of values longer then the size of the vector + * or matrix a compile time error will occour. Otherwise the pending values + * will be written random into the memory. + * + */ +template<class Obj, std::size_t LEN> +class CommaInitializer +{ + CommaInitializer(); + CommaInitializer& operator=(const CommaInitializer&); + +private: + /** + * \class Initializer + * \brief Helper fo recursive overloaded comma operator. + */ + template<class T, std::size_t N> class Initializer + { + Initializer(); + Initializer& operator=(const Initializer&); + + public: + typedef T value_type; + typedef T* iterator; + + public: + Initializer(iterator iter) : m_iter(iter) { } + + /** Overloads the comma operator for recursive assign values from comma + separated list. */ + Initializer<value_type, N+1> operator,(value_type rhs) + { + TVMET_CT_CONDITION(N < LEN, CommaInitializerList_is_too_long) + *m_iter = rhs; + return Initializer<value_type, N+1>(m_iter + 1); + } + + private: + iterator m_iter; + }; + +public: + typedef typename Obj::value_type value_type; + typedef value_type* iterator; + +public: + CommaInitializer(const CommaInitializer& rhs) + : m_object(rhs.m_object), + m_data(rhs.m_data), + m_wipeout_on_destruct(true) + { + rhs.disable(); + } + + /** Constructor used by Vector or Matrix operator(value_type rhs) */ + CommaInitializer(Obj& obj, value_type x) + : m_object(obj), + m_data(x), + m_wipeout_on_destruct(true) + { } + + /** Destructs and assigns the comma separated value. */ + ~CommaInitializer() { + if(m_wipeout_on_destruct) m_object.assign_value(m_data); + } + + /** Overloaded comma operator, called only once for the first occoured comma. This + means the first value is assigned by %operator=() and the 2nd value after the + comma. Therfore we call the %Initializer::operator,() for the list starting + after the 2nd. */ + Initializer<value_type, 2> operator,(value_type rhs); + + void disable() const { m_wipeout_on_destruct = false; } + +private: + Obj& m_object; + value_type m_data; + mutable bool m_wipeout_on_destruct; +}; + + +/* + * Implementation + */ +template<class Obj, std::size_t LEN> +typename CommaInitializer<Obj, LEN>::template Initializer<typename Obj::value_type, 2> +CommaInitializer<Obj, LEN>::operator,(typename Obj::value_type rhs) +{ + m_wipeout_on_destruct = false; + iterator iter1 = m_object.data(); + *iter1 = m_data; + iterator iter2 = iter1 + 1; + *iter2 = rhs; + return Initializer<value_type, 2>(iter2 + 1); +} + + + +} // namespace tvmet + + +#endif // TVMET_COMMA_INITIALIZER_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/CompileTimeError.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,60 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: CompileTimeError.h,v 1.11 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_COMPILE_TIME_ERROR_H +#define TVMET_COMPILE_TIME_ERROR_H + +namespace tvmet { + +/** + * \class CompileTimeError CompileTimeError.h "tvmet/CompileTimeError.h" + * \brief Compile Time Assertation classes. + */ +template<bool> struct CompileTimeError; + +/** + * \class CompileTimeError<true> CompileTimeError.h "tvmet/CompileTimeError.h" + * \brief Specialized Compile Time Assertation for successfully condition. + * This results in a compiler pass. + */ +template<> struct CompileTimeError<true> { }; + + +/** + * \def TVMET_CT_CONDITION(XPR, MSG) + * \brief Simplify the Compile Time Assertation by using an expression + * Xpr and an error message MSG. + */ +#define TVMET_CT_CONDITION(XPR, MSG) { \ + CompileTimeError<(XPR)> tvmet_ERROR_##MSG; \ + (void)tvmet_ERROR_##MSG; \ +} + +} // namespace tvmet + +#endif // TVMET_COMPILE_TIME_ERROR_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/Extremum.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,108 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Extremum.h,v 1.10 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_EXTREMUM_H +#define TVMET_EXTREMUM_H + +namespace tvmet { + + +/** + * \class matrix_tag Extremum.h "tvmet/Extremum.h" + * \brief For use with Extremum to simplify max handling. + * This allows the min/max functions to return an Extremum object. + */ +struct matrix_tag { }; + + +/** + * \class vector_tag Extremum.h "tvmet/Extremum.h" + * \brief For use with Extremum to simplify max handling. + * This allows the min/max functions to return an Extremum object. + */ +struct vector_tag { }; + + +/** + * \class Extremum Extremum.h "tvmet/Extremum.h" + * \brief Generell class for storing extremums determined by min/max. + */ +template<class T1, class T2, class Tag> +class Extremum { }; + + +/** + * \class Extremum<T1, T2, vector_tag> Extremum.h "tvmet/Extremum.h" + * \brief Partial specialzed for vectors to store extremums by value and index. + */ +template<class T1, class T2> +class Extremum<T1, T2, vector_tag> +{ +public: + typedef T1 value_type; + typedef T2 index_type; + +public: + Extremum(value_type value, index_type index) + : m_value(value), m_index(index) { } + value_type value() const { return m_value; } + index_type index() const { return m_index; } + +private: + value_type m_value; + index_type m_index; +}; + + +/** + * \class Extremum<T1, T2, matrix_tag> Extremum.h "tvmet/Extremum.h" + * \brief Partial specialzed for matrix to store extremums by value, row and column. + */ +template<class T1, class T2> +class Extremum<T1, T2, matrix_tag> +{ +public: + typedef T1 value_type; + typedef T2 index_type; + +public: + Extremum(value_type value, index_type row, index_type col) + : m_value(value), m_row(row), m_col(col) { } + value_type value() const { return m_value; } + index_type row() const { return m_row; } + index_type col() const { return m_col; } + +private: + value_type m_value; + index_type m_row, m_col; +}; + + +} // namespace tvmet + +#endif // TVMET_EXTREMUM_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/Functional.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,88 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Functional.h,v 1.11 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_FUNCTIONAL_H +#define TVMET_FUNCTIONAL_H + +#include <tvmet/TypePromotion.h> + +namespace tvmet { + + +/** + * \class Functional Functional.h "tvmet/Functional.h" + * \brief Base class for all binary und unary functionals. + * + * All functional operators and functions have a static apply + * member function for evaluating the expressions inside. + */ +struct Functional { }; + + +/** + * \class BinaryFunctional Functional.h "tvmet/Functional.h" + * \brief Base class for all binary functions. + * \note Used for collecting classes for doxygen. + */ +struct BinaryFunctional : public Functional { }; + + +/** + * \class UnaryFunctional Functional.h "tvmet/Functional.h" + * \brief Base class for all unary functions. + * \note Used for collecting classes for doxygen. + */ +struct UnaryFunctional : public Functional { }; + + +/* + * some macro magic need below + */ + +/** + * \def TVMET_STD_SCOPE(x) + * \brief Simple macro to allow using macros for namespace std functions. + */ +#define TVMET_STD_SCOPE(x) std::x + + +/** + * \def TVMET_GLOBAL_SCOPE(x) + * \brief Simple macro to allow using macros for global namespace functions. + */ +#define TVMET_GLOBAL_SCOPE(x) ::x + + +} // namespace tvmet + + +#include <tvmet/BinaryFunctionals.h> +#include <tvmet/UnaryFunctionals.h> + + +#endif // TVMET_FUNCTIONAL_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/Io.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,69 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Io.h,v 1.8 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_IO_H +#define TVMET_IO_H + +namespace tvmet { + +/** + * \class IoPrintHelper Io.h "tvmet/Io.h" + * \brief Determines the number of digits regarding the sign of the + * container. + * This class is nesessary due to the complex type and the + * function min(), which are not defined for this type. + * So we have to dispatch between pod and complex types + * to get an information about the extra space for signs. + */ +template<class C> +class IoPrintHelper { + IoPrintHelper(); + IoPrintHelper(const IoPrintHelper&); + IoPrintHelper& operator=(const IoPrintHelper&); + +private: + static std::streamsize width(const C& e) { + std::streamsize w = static_cast<std::streamsize>(std::log10(max(abs(e)))+1); + return w > 0 ? w : 0; + } + +public: + static std::streamsize width(dispatch<true>, const C& e) { + return width(e); + } + static std::streamsize width(dispatch<false>, const C& e) { + std::streamsize w = width(e); + if(min(e) < 0) return w+1; + else return w; + } +}; + + +} + +#endif /* TVMET_IO_H */ + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/Matrix.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,476 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * lesser General Public License for more details. + * + * You should have received a copy of the GNU lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Matrix.h,v 1.58 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_MATRIX_H +#define TVMET_MATRIX_H + +#include <iterator> // reverse_iterator + +#include <tvmet/tvmet.h> +#include <tvmet/TypePromotion.h> +#include <tvmet/CommaInitializer.h> +#include <tvmet/RunTimeError.h> + +#include <tvmet/xpr/Matrix.h> +#include <tvmet/xpr/MatrixRow.h> +#include <tvmet/xpr/MatrixCol.h> +#include <tvmet/xpr/MatrixDiag.h> + +namespace tvmet { + + +/* forwards */ +template<class T, std::size_t Rows, std::size_t Cols> class Matrix; +template<class T, + std::size_t RowsBgn, std::size_t RowsEnd, + std::size_t ColsBgn, std::size_t ColsEnd, + std::size_t RowStride, std::size_t ColStride /*=1*/> +class MatrixSliceConstReference; // unused here; for me only + + +/** + * \class MatrixConstReference Matrix.h "tvmet/Matrix.h" + * \brief value iterator for ET + */ +template<class T, std::size_t NRows, std::size_t NCols> +class MatrixConstReference + : public TvmetBase < MatrixConstReference<T, NRows, NCols> > +{ +public: + typedef T value_type; + typedef T* pointer; + typedef const T* const_pointer; + + /** Dimensions. */ + enum { + Rows = NRows, /**< Number of rows. */ + Cols = NCols, /**< Number of cols. */ + Size = Rows * Cols /**< Complete Size of Matrix. */ + }; + +public: + /** Complexity counter. */ + enum { + ops = Rows * Cols + }; + +private: + MatrixConstReference(); + MatrixConstReference& operator=(const MatrixConstReference&); + +public: + /** Constructor. */ + explicit MatrixConstReference(const Matrix<T, Rows, Cols>& rhs) + : m_data(rhs.data()) + { } + + /** Constructor by a given memory pointer. */ + explicit MatrixConstReference(const_pointer data) + : m_data(data) + { } + +public: // access operators + /** access by index. */ + value_type operator()(std::size_t i, std::size_t j) const { + TVMET_RT_CONDITION((i < Rows) && (j < Cols), "MatrixConstReference Bounce Violation") + return m_data[i * Cols + j]; + } + +public: // debugging Xpr parse tree + void print_xpr(std::ostream& os, std::size_t l=0) const { + os << IndentLevel(l) + << "MatrixConstReference[O=" << ops << "]<" + << "T=" << typeid(value_type).name() << ">," + << std::endl; + } + +private: + const_pointer _tvmet_restrict m_data; +}; + + +/** + * \class Matrix Matrix.h "tvmet/Matrix.h" + * \brief A tiny matrix class. + * + * The array syntax A[j][j] isn't supported here. The reason is that + * operator[] always takes exactly one parameter, but operator() can + * take any number of parameters (in the case of a rectangular matrix, + * two paramters are needed). Therefore the cleanest way to do it is + * with operator() rather than with operator[]. \see C++ FAQ Lite 13.8 + */ +template<class T, std::size_t NRows, std::size_t NCols> +class Matrix +{ +public: + /** Data type of the tvmet::Matrix. */ + typedef T value_type; + + /** Reference type of the tvmet::Matrix data elements. */ + typedef T& reference; + + /** const reference type of the tvmet::Matrix data elements. */ + typedef const T& const_reference; + + /** STL iterator interface. */ + typedef T* iterator; + + /** STL const_iterator interface. */ + typedef const T* const_iterator; + + /** STL reverse iterator interface. */ + typedef std::reverse_iterator<iterator> reverse_iterator; + + /** STL const reverse iterator interface. */ + typedef std::reverse_iterator<const_iterator> const_reverse_iterator; + +public: + /** Dimensions. */ + enum { + Rows = NRows, /**< Number of rows. */ + Cols = NCols, /**< Number of cols. */ + Size = Rows * Cols /**< Complete Size of Matrix. */ + }; + +public: + /** Complexity counter. */ + enum { + ops_assign = Rows * Cols, + ops = ops_assign, + use_meta = ops < TVMET_COMPLEXITY_M_ASSIGN_TRIGGER ? true : false + }; + +public: // STL interface + /** STL iterator interface. */ + iterator begin() { return m_data; } + + /** STL iterator interface. */ + iterator end() { return m_data + Size; } + + /** STL const_iterator interface. */ + const_iterator begin() const { return m_data; } + + /** STL const_iterator interface. */ + const_iterator end() const { return m_data + Size; } + + /** STL reverse iterator interface reverse begin. */ + reverse_iterator rbegin() { return reverse_iterator( end() ); } + + /** STL const reverse iterator interface reverse begin. */ + const_reverse_iterator rbegin() const { + return const_reverse_iterator( end() ); + } + + /** STL reverse iterator interface reverse end. */ + reverse_iterator rend() { return reverse_iterator( begin() ); } + + /** STL const reverse iterator interface reverse end. */ + const_reverse_iterator rend() const { + return const_reverse_iterator( begin() ); + } + + /** The size of the matrix. */ + static std::size_t size() { return Size; } + + /** STL vector max_size() - returns allways rows()*cols(). */ + static std::size_t max_size() { return Size; } + + /** STL vector empty() - returns allways false. */ + static bool empty() { return false; } + +public: + /** The number of rows of matrix. */ + static std::size_t rows() { return Rows; } + + /** The number of columns of matrix. */ + static std::size_t cols() { return Cols; } + +public: + /** Default Destructor */ + ~Matrix() { +#if defined(TVMET_DYNAMIC_MEMORY) + delete [] m_data; +#endif + } + + /** Default Constructor. The allocated memory region isn't cleared. If you want + a clean use the constructor argument zero. */ + explicit Matrix() +#if defined(TVMET_DYNAMIC_MEMORY) + : m_data( new value_type[Size] ) +#endif + { } + + /** Copy Constructor, not explicit! */ + Matrix(const Matrix& rhs) +#if defined(TVMET_DYNAMIC_MEMORY) + : m_data( new value_type[Size] ) +#endif + { + *this = XprMatrix<ConstReference, Rows, Cols>(rhs.const_ref()); + } + + /** + * Constructor with STL iterator interface. The data will be copied into the matrix + * self, there isn't any stored reference to the array pointer. + */ + template<class InputIterator> + explicit Matrix(InputIterator first, InputIterator last) +#if defined(TVMET_DYNAMIC_MEMORY) + : m_data( new value_type[Size] ) +#endif + { + TVMET_RT_CONDITION(static_cast<std::size_t>(std::distance(first, last)) <= Size, + "InputIterator doesn't fits in size" ) + std::copy(first, last, m_data); + } + + /** + * Constructor with STL iterator interface. The data will be copied into the matrix + * self, there isn't any stored reference to the array pointer. + */ + template<class InputIterator> + explicit Matrix(InputIterator first, std::size_t sz) +#if defined(TVMET_DYNAMIC_MEMORY) + : m_data( new value_type[Size] ) +#endif + { + TVMET_RT_CONDITION(sz <= Size, "InputIterator doesn't fits in size" ) + std::copy(first, first + sz, m_data); + } + + /** Construct the matrix by value. */ + explicit Matrix(value_type rhs) +#if defined(TVMET_DYNAMIC_MEMORY) + : m_data( new value_type[Size] ) +#endif + { + typedef XprLiteral<value_type> expr_type; + *this = XprMatrix<expr_type, Rows, Cols>(expr_type(rhs)); + } + + /** Construct a matrix by expression. */ + template<class E> + explicit Matrix(const XprMatrix<E, Rows, Cols>& e) +#if defined(TVMET_DYNAMIC_MEMORY) + : m_data( new value_type[Size] ) +#endif + { + *this = e; + } + + /** assign a value_type on array, this can be used for a single value + or a comma separeted list of values. */ + CommaInitializer<Matrix, Size> operator=(value_type rhs) { + return CommaInitializer<Matrix, Size>(*this, rhs); + } + +public: // access operators + value_type* _tvmet_restrict data() { return m_data; } + const value_type* _tvmet_restrict data() const { return m_data; } + +public: // index access operators + value_type& _tvmet_restrict operator()(std::size_t i, std::size_t j) { + // Note: g++-2.95.3 does have problems on typedef reference + TVMET_RT_CONDITION((i < Rows) && (j < Cols), "Matrix Bounce Violation") + return m_data[i * Cols + j]; + } + + value_type operator()(std::size_t i, std::size_t j) const { + TVMET_RT_CONDITION((i < Rows) && (j < Cols), "Matrix Bounce Violation") + return m_data[i * Cols + j]; + } + +public: // ET interface + typedef MatrixConstReference<T, Rows, Cols> ConstReference; + + typedef MatrixSliceConstReference< + T, + 0, Rows, 0, Cols, + Rows, 1 + > SliceConstReference; + + /** Return a const Reference of the internal data */ + ConstReference const_ref() const { return ConstReference(*this); } + + /** + * Return a sliced const Reference of the internal data. + * \note Doesn't work since isn't implemented, but it is in + * progress. Therefore this is a placeholder. */ + ConstReference const_sliceref() const { return SliceConstReference(*this); } + + /** Return the vector as const expression. */ + XprMatrix<ConstReference, Rows, Cols> as_expr() const { + return XprMatrix<ConstReference, Rows, Cols>(this->const_ref()); + } + +private: + /** Wrapper for meta assign. */ + template<class Dest, class Src, class Assign> + static inline + void do_assign(dispatch<true>, Dest& dest, const Src& src, const Assign& assign_fn) { + meta::Matrix<Rows, Cols, 0, 0>::assign(dest, src, assign_fn); + } + + /** Wrapper for loop assign. */ + template<class Dest, class Src, class Assign> + static inline + void do_assign(dispatch<false>, Dest& dest, const Src& src, const Assign& assign_fn) { + loop::Matrix<Rows, Cols>::assign(dest, src, assign_fn); + } + +private: + /** assign this to a matrix of a different type T2 using + the functional assign_fn. */ + template<class T2, class Assign> + void assign_to(Matrix<T2, Rows, Cols>& dest, const Assign& assign_fn) const { + do_assign(dispatch<use_meta>(), dest, *this, assign_fn); + } + +public: // assign operations + /** assign a given matrix of a different type T2 element wise + to this matrix. The operator=(const Matrix&) is compiler + generated. */ + template<class T2> + Matrix& operator=(const Matrix<T2, Rows, Cols>& rhs) { + rhs.assign_to(*this, Fcnl_assign<value_type, T2>()); + return *this; + } + + /** assign a given XprMatrix element wise to this matrix. */ + template <class E> + Matrix& operator=(const XprMatrix<E, Rows, Cols>& rhs) { + rhs.assign_to(*this, Fcnl_assign<value_type, typename E::value_type>()); + return *this; + } + +private: + template<class Obj, std::size_t LEN> friend class CommaInitializer; + + /** This is a helper for assigning a comma separated initializer + list. It's equal to Matrix& operator=(value_type) which does + replace it. */ + Matrix& assign_value(value_type rhs) { + typedef XprLiteral<value_type> expr_type; + *this = XprMatrix<expr_type, Rows, Cols>(expr_type(rhs)); + return *this; + } + +public: // math operators with scalars + // NOTE: this meaning is clear - element wise ops even if not in ns element_wise + Matrix& operator+=(value_type) TVMET_CXX_ALWAYS_INLINE; + Matrix& operator-=(value_type) TVMET_CXX_ALWAYS_INLINE; + Matrix& operator*=(value_type) TVMET_CXX_ALWAYS_INLINE; + Matrix& operator/=(value_type) TVMET_CXX_ALWAYS_INLINE; + + Matrix& operator%=(std::size_t) TVMET_CXX_ALWAYS_INLINE; + Matrix& operator^=(std::size_t) TVMET_CXX_ALWAYS_INLINE; + Matrix& operator&=(std::size_t) TVMET_CXX_ALWAYS_INLINE; + Matrix& operator|=(std::size_t) TVMET_CXX_ALWAYS_INLINE; + Matrix& operator<<=(std::size_t) TVMET_CXX_ALWAYS_INLINE; + Matrix& operator>>=(std::size_t) TVMET_CXX_ALWAYS_INLINE; + +public: // math operators with matrizes + // NOTE: access using the operators in ns element_wise, since that's what is does + template <class T2> Matrix& M_add_eq(const Matrix<T2, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + template <class T2> Matrix& M_sub_eq(const Matrix<T2, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + template <class T2> Matrix& M_mul_eq(const Matrix<T2, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + template <class T2> Matrix& M_div_eq(const Matrix<T2, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + template <class T2> Matrix& M_mod_eq(const Matrix<T2, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + template <class T2> Matrix& M_xor_eq(const Matrix<T2, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + template <class T2> Matrix& M_and_eq(const Matrix<T2, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + template <class T2> Matrix& M_or_eq (const Matrix<T2, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + template <class T2> Matrix& M_shl_eq(const Matrix<T2, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + template <class T2> Matrix& M_shr_eq(const Matrix<T2, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + +public: // math operators with expressions + // NOTE: access using the operators in ns element_wise, since that's what is does + template <class E> Matrix& M_add_eq(const XprMatrix<E, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + template <class E> Matrix& M_sub_eq(const XprMatrix<E, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + template <class E> Matrix& M_mul_eq(const XprMatrix<E, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + template <class E> Matrix& M_div_eq(const XprMatrix<E, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + template <class E> Matrix& M_mod_eq(const XprMatrix<E, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + template <class E> Matrix& M_xor_eq(const XprMatrix<E, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + template <class E> Matrix& M_and_eq(const XprMatrix<E, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + template <class E> Matrix& M_or_eq (const XprMatrix<E, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + template <class E> Matrix& M_shl_eq(const XprMatrix<E, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + template <class E> Matrix& M_shr_eq(const XprMatrix<E, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + +public: // aliased math operators with expressions + template <class T2> Matrix& alias_assign(const Matrix<T2, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + template <class T2> Matrix& alias_add_eq(const Matrix<T2, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + template <class T2> Matrix& alias_sub_eq(const Matrix<T2, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + template <class T2> Matrix& alias_mul_eq(const Matrix<T2, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + template <class T2> Matrix& alias_div_eq(const Matrix<T2, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + + template <class E> Matrix& alias_assign(const XprMatrix<E, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + template <class E> Matrix& alias_add_eq(const XprMatrix<E, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + template <class E> Matrix& alias_sub_eq(const XprMatrix<E, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + template <class E> Matrix& alias_mul_eq(const XprMatrix<E, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + template <class E> Matrix& alias_div_eq(const XprMatrix<E, Rows, Cols>&) TVMET_CXX_ALWAYS_INLINE; + +public: // io + /** Structure for info printing as Matrix<T, Rows, Cols>. */ + struct Info : public TvmetBase<Info> { + std::ostream& print_xpr(std::ostream& os) const { + os << "Matrix<T=" << typeid(value_type).name() + << ", R=" << Rows << ", C=" << Cols << ">"; + return os; + } + }; + + /** Get an info object of this matrix. */ + static Info info() { return Info(); } + + /** Member function for expression level printing. */ + std::ostream& print_xpr(std::ostream& os, std::size_t l=0) const; + + /** Member function for printing internal data. */ + std::ostream& print_on(std::ostream& os) const; + +private: + /** The data of matrix self. */ +#if defined(TVMET_DYNAMIC_MEMORY) + value_type* m_data; +#else + value_type m_data[Size]; +#endif +}; + + +} // namespace tvmet + +#include <tvmet/MatrixImpl.h> +#include <tvmet/MatrixFunctions.h> +#include <tvmet/MatrixBinaryFunctions.h> +#include <tvmet/MatrixUnaryFunctions.h> +#include <tvmet/MatrixOperators.h> +#include <tvmet/MatrixEval.h> +#include <tvmet/AliasProxy.h> + +#endif // TVMET_MATRIX_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/MatrixBinaryFunctions.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,533 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * lesser General Public License for more details. + * + * You should have received a copy of the GNU lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: MatrixBinaryFunctions.h,v 1.16 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_MATRIX_BINARY_FUNCTIONS_H +#define TVMET_MATRIX_BINARY_FUNCTIONS_H + +namespace tvmet { + +/********************************************************* + * PART I: DECLARATION + *********************************************************/ + +/* + * binary_function(Matrix<T1, Rows, Cols>, Matrix<T2, Rows, Cols>) + * binary_function(Matrix<T1, Rows, Cols>, XprMatrix<E, Rows, Cols>) + * binary_function(XprMatrix<E, Rows, Cols>, Matrix<T, Rows, Cols>) + */ +#define TVMET_DECLARE_MACRO(NAME) \ +template<class T1, class T2, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<T1, T2>, \ + MatrixConstReference<T1, Rows, Cols>, \ + MatrixConstReference<T2, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME(const Matrix<T1, Rows, Cols>& lhs, \ + const Matrix<T2, Cols, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class E, class T, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + MatrixConstReference<T, Rows, Cols>, \ + XprMatrix<E, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME(const XprMatrix<E, Rows, Cols>& lhs, \ + const Matrix<T, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class E, class T, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<T, typename E::value_type>, \ + MatrixConstReference<T, Rows, Cols>, \ + XprMatrix<E, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME(const Matrix<T, Rows, Cols>& lhs, \ + const XprMatrix<E, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(atan2) +TVMET_DECLARE_MACRO(drem) +TVMET_DECLARE_MACRO(fmod) +TVMET_DECLARE_MACRO(hypot) +TVMET_DECLARE_MACRO(jn) +TVMET_DECLARE_MACRO(yn) +TVMET_DECLARE_MACRO(pow) +#if defined(TVMET_HAVE_COMPLEX) +TVMET_DECLARE_MACRO(polar) +#endif + +#undef TVMET_DECLARE_MACRO + + +/* + * binary_function(Matrix<T, Rows, Cols>, POD) + */ +#define TVMET_DECLARE_MACRO(NAME, TP) \ +template<class T, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<T, TP >, \ + MatrixConstReference<T, Rows, Cols>, \ + XprLiteral< TP > \ + >, \ + Rows, Cols \ +> \ +NAME(const Matrix<T, Rows, Cols>& lhs, TP rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(atan2, int) +TVMET_DECLARE_MACRO(drem, int) +TVMET_DECLARE_MACRO(fmod, int) +TVMET_DECLARE_MACRO(hypot, int) +TVMET_DECLARE_MACRO(jn, int) +TVMET_DECLARE_MACRO(yn, int) +TVMET_DECLARE_MACRO(pow, int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_DECLARE_MACRO(atan2, long long int) +TVMET_DECLARE_MACRO(drem, long long int) +TVMET_DECLARE_MACRO(fmod, long long int) +TVMET_DECLARE_MACRO(hypot, long long int) +TVMET_DECLARE_MACRO(jn, long long int) +TVMET_DECLARE_MACRO(yn, long long int) +TVMET_DECLARE_MACRO(pow, long long int) +#endif // defined(TVMET_HAVE_LONG_LONG) + +TVMET_DECLARE_MACRO(atan2, float) +TVMET_DECLARE_MACRO(drem, float) +TVMET_DECLARE_MACRO(fmod, float) +TVMET_DECLARE_MACRO(hypot, float) +TVMET_DECLARE_MACRO(jn, float) +TVMET_DECLARE_MACRO(yn, float) +TVMET_DECLARE_MACRO(pow, float) + +TVMET_DECLARE_MACRO(atan2, double) +TVMET_DECLARE_MACRO(drem, double) +TVMET_DECLARE_MACRO(fmod, double) +TVMET_DECLARE_MACRO(hypot, double) +TVMET_DECLARE_MACRO(jn, double) +TVMET_DECLARE_MACRO(yn, double) +TVMET_DECLARE_MACRO(pow, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_DECLARE_MACRO(atan2, long double) +TVMET_DECLARE_MACRO(drem, long double) +TVMET_DECLARE_MACRO(fmod, long double) +TVMET_DECLARE_MACRO(hypot, long double) +TVMET_DECLARE_MACRO(jn, long double) +TVMET_DECLARE_MACRO(yn, long double) +TVMET_DECLARE_MACRO(pow, long double) +#endif // defined(TVMET_HAVE_LONG_DOUBLE) + +#undef TVMET_DECLARE_MACRO + + +/* + * complex math + */ + +#if defined(TVMET_HAVE_COMPLEX) && defined(TVMET_HAVE_COMPLEX_MATH1) +template<class T, std::size_t Rows, std::size_t Cols> +XprMatrix< + XprBinOp< + Fcnl_pow<T, std::complex<T> >, + MatrixConstReference<T, Rows, Cols>, + XprLiteral< std::complex<T> > + >, + Rows, Cols +> +pow(const Matrix<T, Rows, Cols>& lhs, + const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class T, std::size_t Rows, std::size_t Cols> +XprMatrix< + XprBinOp< + Fcnl_pow< std::complex<T>, std::complex<T> >, + MatrixConstReference<std::complex<T>, Rows, Cols>, + XprLiteral< std::complex<T> > + >, + Rows, Cols +> +pow(const Matrix<std::complex<T>, Rows, Cols>& lhs, + const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +/** + * \fn pow(const Matrix<std::complex<T>, Rows, Cols>& lhs, const T& rhs) + * \ingroup _binary_function + */ +template<class T, std::size_t Rows, std::size_t Cols> +XprMatrix< + XprBinOp< + Fcnl_pow<std::complex<T>, T>, + MatrixConstReference<std::complex<T>, Rows, Cols>, + XprLiteral<T> + >, + Rows, Cols +> +pow(const Matrix<std::complex<T>, Rows, Cols>& lhs, + const T& rhs) TVMET_CXX_ALWAYS_INLINE; + + +/** + * \fn pow(const Matrix<std::complex<T>, Rows, Cols>& lhs, int rhs) + * \ingroup _binary_function + */ +template<class T, std::size_t Rows, std::size_t Cols> +XprMatrix< + XprBinOp< + Fcnl_pow<std::complex<T>, int>, + MatrixConstReference<std::complex<T>, Rows, Cols>, + XprLiteral<int> + >, + Rows, Cols +> +pow(const Matrix<std::complex<T>, Rows, Cols>& lhs, + int rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class T, std::size_t Rows, std::size_t Cols> +XprMatrix< + XprBinOp< + Fcnl_polar<T, T>, + MatrixConstReference<T, Rows, Cols>, + XprLiteral<T> + >, + Rows, Cols +> +polar(const Matrix<T, Rows, Cols>& lhs, + const T& rhs) TVMET_CXX_ALWAYS_INLINE; + +#endif // defined(TVMET_HAVE_COMPLEX) && defined(TVMET_HAVE_COMPLEX_MATH1) + + +#if defined(TVMET_HAVE_COMPLEX) && defined(TVMET_HAVE_COMPLEX_MATH2) +// to be written (atan2) +#endif // defined(TVMET_HAVE_COMPLEX) && defined(TVMET_HAVE_COMPLEX_MATH2) + + +/********************************************************* + * PART II: IMPLEMENTATION + *********************************************************/ + +/* + * binary_function(Matrix<T1, Rows, Cols>, Matrix<T2, Rows, Cols>) + * binary_function(Matrix<T1, Rows, Cols>, XprMatrix<E, Rows, Cols>) + * binary_function(XprMatrix<E, Rows, Cols>, Matrix<T, Rows, Cols>) + */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class T1, class T2, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<T1, T2>, \ + MatrixConstReference<T1, Rows, Cols>, \ + MatrixConstReference<T2, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME(const Matrix<T1, Rows, Cols>& lhs, const Matrix<T2, Cols, Cols>& rhs) { \ + typedef XprBinOp < \ + Fcnl_##NAME<T1, T2>, \ + MatrixConstReference<T1, Rows, Cols>, \ + MatrixConstReference<T2, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(lhs.const_ref(), rhs.const_ref())); \ +} \ + \ +template<class E, class T, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + MatrixConstReference<T, Rows, Cols>, \ + XprMatrix<E, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME(const XprMatrix<E, Rows, Cols>& lhs, const Matrix<T, Rows, Cols>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + XprMatrix<E, Rows, Cols>, \ + MatrixConstReference<T, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(lhs, rhs.const_ref())); \ +} \ + \ +template<class E, class T, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<T, typename E::value_type>, \ + MatrixConstReference<T, Rows, Cols>, \ + XprMatrix<E, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME(const Matrix<T, Rows, Cols>& lhs, const XprMatrix<E, Rows, Cols>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<T, typename E::value_type>, \ + MatrixConstReference<T, Rows, Cols>, \ + XprMatrix<E, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(lhs.const_ref(), rhs)); \ +} + +TVMET_IMPLEMENT_MACRO(atan2) +TVMET_IMPLEMENT_MACRO(drem) +TVMET_IMPLEMENT_MACRO(fmod) +TVMET_IMPLEMENT_MACRO(hypot) +TVMET_IMPLEMENT_MACRO(jn) +TVMET_IMPLEMENT_MACRO(yn) +TVMET_IMPLEMENT_MACRO(pow) +#if defined(TVMET_HAVE_COMPLEX) +TVMET_IMPLEMENT_MACRO(polar) +#endif +#undef TVMET_IMPLEMENT_MACRO + + +/* + * binary_function(Matrix<T, Rows, Cols>, POD) + */ +#define TVMET_IMPLEMENT_MACRO(NAME, TP) \ +template<class T, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<T, TP >, \ + MatrixConstReference<T, Rows, Cols>, \ + XprLiteral< TP > \ + >, \ + Rows, Cols \ +> \ +NAME(const Matrix<T, Rows, Cols>& lhs, TP rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<T, TP >, \ + MatrixConstReference<T, Rows, Cols>, \ + XprLiteral< TP > \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(lhs.const_ref(), XprLiteral< TP >(rhs))); \ +} + +TVMET_IMPLEMENT_MACRO(atan2, int) +TVMET_IMPLEMENT_MACRO(drem, int) +TVMET_IMPLEMENT_MACRO(fmod, int) +TVMET_IMPLEMENT_MACRO(hypot, int) +TVMET_IMPLEMENT_MACRO(jn, int) +TVMET_IMPLEMENT_MACRO(yn, int) +TVMET_IMPLEMENT_MACRO(pow, int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_IMPLEMENT_MACRO(atan2, long long int) +TVMET_IMPLEMENT_MACRO(drem, long long int) +TVMET_IMPLEMENT_MACRO(fmod, long long int) +TVMET_IMPLEMENT_MACRO(hypot, long long int) +TVMET_IMPLEMENT_MACRO(jn, long long int) +TVMET_IMPLEMENT_MACRO(yn, long long int) +TVMET_IMPLEMENT_MACRO(pow, long long int) +#endif // defined(TVMET_HAVE_LONG_LONG) + +TVMET_IMPLEMENT_MACRO(atan2, float) +TVMET_IMPLEMENT_MACRO(drem, float) +TVMET_IMPLEMENT_MACRO(fmod, float) +TVMET_IMPLEMENT_MACRO(hypot, float) +TVMET_IMPLEMENT_MACRO(jn, float) +TVMET_IMPLEMENT_MACRO(yn, float) +TVMET_IMPLEMENT_MACRO(pow, float) + +TVMET_IMPLEMENT_MACRO(atan2, double) +TVMET_IMPLEMENT_MACRO(drem, double) +TVMET_IMPLEMENT_MACRO(fmod, double) +TVMET_IMPLEMENT_MACRO(hypot, double) +TVMET_IMPLEMENT_MACRO(jn, double) +TVMET_IMPLEMENT_MACRO(yn, double) +TVMET_IMPLEMENT_MACRO(pow, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_IMPLEMENT_MACRO(atan2, long double) +TVMET_IMPLEMENT_MACRO(drem, long double) +TVMET_IMPLEMENT_MACRO(fmod, long double) +TVMET_IMPLEMENT_MACRO(hypot, long double) +TVMET_IMPLEMENT_MACRO(jn, long double) +TVMET_IMPLEMENT_MACRO(yn, long double) +TVMET_IMPLEMENT_MACRO(pow, long double) +#endif // defined(TVMET_HAVE_LONG_DOUBLE) + +#undef TVMET_IMPLEMENT_MACRO + + +/* + * complex math + */ + +#if defined(TVMET_HAVE_COMPLEX) && defined(TVMET_HAVE_COMPLEX_MATH1) +/** + * \fn pow(const Matrix<T, Rows, Cols>& lhs, const std::complex<T>& rhs) + * \ingroup _binary_function + */ +template<class T, std::size_t Rows, std::size_t Cols> +inline +XprMatrix< + XprBinOp< + Fcnl_pow<T, std::complex<T> >, + MatrixConstReference<T, Rows, Cols>, + XprLiteral< std::complex<T> > + >, + Rows, Cols +> +pow(const Matrix<T, Rows, Cols>& lhs, const std::complex<T>& rhs) { + typedef XprBinOp< + Fcnl_pow<T, std::complex<T> >, + MatrixConstReference<T, Rows, Cols>, + XprLiteral< std::complex<T> > + > expr_type; + return XprMatrix<expr_type, Rows, Cols>( + expr_type(lhs.const_ref(), XprLiteral< std::complex<T> >(rhs))); +} + + +/** + * \fn pow(const Matrix<std::complex<T>, Rows, Cols>& lhs, const std::complex<T>& rhs) + * \ingroup _binary_function + */ +template<class T, std::size_t Rows, std::size_t Cols> +inline +XprMatrix< + XprBinOp< + Fcnl_pow< std::complex<T>, std::complex<T> >, + MatrixConstReference<std::complex<T>, Rows, Cols>, + XprLiteral< std::complex<T> > + >, + Rows, Cols +> +pow(const Matrix<std::complex<T>, Rows, Cols>& lhs, const std::complex<T>& rhs) { + typedef XprBinOp< + Fcnl_pow< std::complex<T>, std::complex<T> >, + MatrixConstReference<std::complex<T>, Rows, Cols>, + XprLiteral< std::complex<T> > + > expr_type; + return XprMatrix<expr_type, Rows, Cols>( + expr_type(lhs.const_ref(), XprLiteral< std::complex<T> >(rhs))); +} + + +/** + * \fn pow(const Matrix<std::complex<T>, Rows, Cols>& lhs, const T& rhs) + * \ingroup _binary_function + */ +template<class T, std::size_t Rows, std::size_t Cols> +inline +XprMatrix< + XprBinOp< + Fcnl_pow<std::complex<T>, T>, + MatrixConstReference<std::complex<T>, Rows, Cols>, + XprLiteral<T> + >, + Rows, Cols +> +pow(const Matrix<std::complex<T>, Rows, Cols>& lhs, const T& rhs) { + typedef XprBinOp< + Fcnl_pow<std::complex<T>, T>, + MatrixConstReference<std::complex<T>, Rows, Cols>, + XprLiteral<T> + > expr_type; + return XprMatrix<expr_type, Rows, Cols>( + expr_type(lhs.const_ref(), XprLiteral<T>(rhs))); +} + + +/** + * \fn pow(const Matrix<std::complex<T>, Rows, Cols>& lhs, int rhs) + * \ingroup _binary_function + */ +template<class T, std::size_t Rows, std::size_t Cols> +inline +XprMatrix< + XprBinOp< + Fcnl_pow<std::complex<T>, int>, + MatrixConstReference<std::complex<T>, Rows, Cols>, + XprLiteral<int> + >, + Rows, Cols +> +pow(const Matrix<std::complex<T>, Rows, Cols>& lhs, int rhs) { + typedef XprBinOp< + Fcnl_pow<std::complex<T>, int>, + MatrixConstReference<std::complex<T>, Rows, Cols>, + XprLiteral<int> + > expr_type; + return XprMatrix<expr_type, Rows, Cols>( + expr_type(lhs.const_ref(), XprLiteral<int>(rhs))); +} + + +/** + * \fn polar(const Matrix<T, Rows, Cols>& lhs, const T& rhs) + * \ingroup _binary_function + */ +template<class T, std::size_t Rows, std::size_t Cols> +inline +XprMatrix< + XprBinOp< + Fcnl_polar<T, T>, + MatrixConstReference<T, Rows, Cols>, + XprLiteral<T> + >, + Rows, Cols +> +polar(const Matrix<T, Rows, Cols>& lhs, const T& rhs) { + typedef XprBinOp< + Fcnl_polar<T, T>, + MatrixConstReference<T, Rows, Cols>, + XprLiteral<T> + > expr_type; + return XprMatrix<expr_type, Rows, Cols>( + expr_type(lhs.const_ref(), XprLiteral<T>(rhs))); +} + +#endif // defined(TVMET_HAVE_COMPLEX) && defined(TVMET_HAVE_COMPLEX_MATH1) + +#if defined(TVMET_HAVE_COMPLEX) && defined(TVMET_HAVE_COMPLEX_MATH2) +// to be written (atan2) +#endif // defined(TVMET_HAVE_COMPLEX) && defined(TVMET_HAVE_COMPLEX_MATH2) + + +} // namespace tvmet + +#endif // TVMET_MATRIX_BINARY_FUNCTIONS_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/MatrixEval.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,387 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * lesser General Public License for more details. + * + * You should have received a copy of the GNU lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: MatrixEval.h,v 1.18 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_MATRIX_EVAL_H +#define TVMET_MATRIX_EVAL_H + +namespace tvmet { + + +/** + * \fn bool all_elements(const XprMatrix<E, Rows, Cols>& e) + * \brief check on statements for all elements + * \ingroup _unary_function + * This is for use with boolean operators like + * \par Example: + * \code + * all_elements(matrix > 0) { + * // true branch + * } else { + * // false branch + * } + * \endcode + * \sa \ref compare + */ +template<class E, std::size_t Rows, std::size_t Cols> +inline +bool all_elements(const XprMatrix<E, Rows, Cols>& e) { + return meta::Matrix<Rows, Cols, 0, 0>::all_elements(e); +} + + +/** + * \fn bool any_elements(const XprMatrix<E, Rows, Cols>& e) + * \brief check on statements for any elements + * \ingroup _unary_function + * This is for use with boolean operators like + * \par Example: + * \code + * any_elements(matrix > 0) { + * // true branch + * } else { + * // false branch + * } + * \endcode + * \sa \ref compare + */ +template<class E, std::size_t Rows, std::size_t Cols> +inline +bool any_elements(const XprMatrix<E, Rows, Cols>& e) { + return meta::Matrix<Rows, Cols, 0, 0>::any_elements(e); +} + + +/* + * trinary evaluation functions with matrizes and xpr of + * + * XprMatrix<E1, Rows, Cols> ? Matrix<T2, Rows, Cols> : Matrix<T3, Rows, Cols> + * XprMatrix<E1, Rows, Cols> ? Matrix<T2, Rows, Cols> : XprMatrix<E3, Rows, Cols> + * XprMatrix<E1, Rows, Cols> ? XprMatrix<E2, Rows, Cols> : Matrix<T3, Rows, Cols> + * XprMatrix<E1, Rows, Cols> ? XprMatrix<E2, Rows, Cols> : XprMatrix<E3, Rows, Cols> + */ + +/** + * \fn eval(const XprMatrix<E1, Rows, Cols>& e1, const Matrix<T2, Rows, Cols>& m2, const Matrix<T3, Rows, Cols>& m3) + * \brief Evals the matrix expressions. + * \ingroup _trinary_function + * This eval is for the a?b:c syntax, since it's not allowed to overload + * these operators. + */ +template<class E1, class T2, class T3, std::size_t Rows, std::size_t Cols> +inline +XprMatrix< + XprEval< + XprMatrix<E1, Rows, Cols>, + MatrixConstReference<T2, Rows, Cols>, + MatrixConstReference<T3, Rows, Cols> + >, + Rows, Cols +> +eval(const XprMatrix<E1, Rows, Cols>& e1, + const Matrix<T2, Rows, Cols>& m2, + const Matrix<T3, Rows, Cols>& m3) { + typedef XprEval< + XprMatrix<E1, Rows, Cols>, + MatrixConstReference<T2, Rows, Cols>, + MatrixConstReference<T3, Rows, Cols> + > expr_type; + return XprMatrix<expr_type, Rows, Cols>( + expr_type(e1, m2.const_ref(), m3.const_ref())); +} + + +/** + * \fn eval(const XprMatrix<E1, Rows, Cols>& e1, const Matrix<T2, Rows, Cols>& m2, const XprMatrix<E3, Rows, Cols>& e3) + * \brief Evals the matrix expressions. + * \ingroup _trinary_function + * This eval is for the a?b:c syntax, since it's not allowed to overload + * these operators. + */ +template<class E1, class T2, class E3, std::size_t Rows, std::size_t Cols> +inline +XprMatrix< + XprEval< + XprMatrix<E1, Rows, Cols>, + MatrixConstReference<T2, Rows, Cols>, + XprMatrix<E3, Rows, Cols> + >, + Rows, Cols +> +eval(const XprMatrix<E1, Rows, Cols>& e1, + const Matrix<T2, Rows, Cols>& m2, + const XprMatrix<E3, Rows, Cols>& e3) { + typedef XprEval< + XprMatrix<E1, Rows, Cols>, + MatrixConstReference<T2, Rows, Cols>, + XprMatrix<E3, Rows, Cols> + > expr_type; + return XprMatrix<expr_type, Rows, Cols>( + expr_type(e1, m2.const_ref(), e3)); +} + + +/** + * \fn eval(const XprMatrix<E1, Rows, Cols>& e1, const XprMatrix<E2, Rows, Cols>& e2, const Matrix<T3, Rows, Cols>& m3) + * \brief Evals the matrix expressions. + * \ingroup _trinary_function + * This eval is for the a?b:c syntax, since it's not allowed to overload + * these operators. + */ +template<class E1, class E2, class T3, std::size_t Rows, std::size_t Cols> +inline +XprMatrix< + XprEval< + XprMatrix<E1, Rows, Cols>, + XprMatrix<E2, Rows, Cols>, + MatrixConstReference<T3, Rows, Cols> + >, + Rows, Cols +> +eval(const XprMatrix<E1, Rows, Cols>& e1, + const XprMatrix<E2, Rows, Cols>& e2, + const Matrix<T3, Rows, Cols>& m3) { + typedef XprEval< + XprMatrix<E1, Rows, Cols>, + XprMatrix<E2, Rows, Cols>, + MatrixConstReference<T3, Rows, Cols> + > expr_type; + return XprMatrix<expr_type, Rows, Cols>( + expr_type(e1, e2, m3.const_ref())); +} + + +/** + * \fn eval(const XprMatrix<E1, Rows, Cols>& e1, const XprMatrix<E2, Rows, Cols>& e2, const XprMatrix<E3, Rows, Cols>& e3) + * \brief Evals the matrix expressions. + * \ingroup _trinary_function + * This eval is for the a?b:c syntax, since it's not allowed to overload + * these operators. + */ +template<class E1, class E2, class E3, std::size_t Rows, std::size_t Cols> +inline +XprMatrix< + XprEval< + XprMatrix<E1, Rows, Cols>, + XprMatrix<E2, Rows, Cols>, + XprMatrix<E3, Rows, Cols> + >, + Rows, Cols +> +eval(const XprMatrix<E1, Rows, Cols>& e1, + const XprMatrix<E2, Rows, Cols>& e2, + const XprMatrix<E3, Rows, Cols>& e3) { + typedef XprEval< + XprMatrix<E1, Rows, Cols>, + XprMatrix<E2, Rows, Cols>, + XprMatrix<E3, Rows, Cols> + > expr_type; + return XprMatrix<expr_type, Rows, Cols>(expr_type(e1, e2, e3)); +} + + +/* + * trinary evaluation functions with matrizes, xpr of and POD + * + * XprMatrix<E, Rows, Cols> ? POD1 : POD2 + * XprMatrix<E1, Rows, Cols> ? POD : XprMatrix<E3, Rows, Cols> + * XprMatrix<E1, Rows, Cols> ? XprMatrix<E2, Rows, Cols> : POD + */ +#define TVMET_IMPLEMENT_MACRO(POD) \ +template<class E, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprEval< \ + XprMatrix<E, Rows, Cols>, \ + XprLiteral< POD >, \ + XprLiteral< POD > \ + >, \ + Rows, Cols \ +> \ +eval(const XprMatrix<E, Rows, Cols>& e, POD x2, POD x3) { \ + typedef XprEval< \ + XprMatrix<E, Rows, Cols>, \ + XprLiteral< POD >, \ + XprLiteral< POD > \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(e, XprLiteral< POD >(x2), XprLiteral< POD >(x3))); \ +} \ + \ +template<class E1, class E3, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprEval< \ + XprMatrix<E1, Rows, Cols>, \ + XprLiteral< POD >, \ + XprMatrix<E3, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +eval(const XprMatrix<E1, Rows, Cols>& e1, POD x2, const XprMatrix<E3, Rows, Cols>& e3) { \ + typedef XprEval< \ + XprMatrix<E1, Rows, Cols>, \ + XprLiteral< POD >, \ + XprMatrix<E3, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(e1, XprLiteral< POD >(x2), e3)); \ +} \ + \ +template<class E1, class E2, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprEval< \ + XprMatrix<E1, Rows, Cols>, \ + XprMatrix<E2, Rows, Cols>, \ + XprLiteral< POD > \ + >, \ + Rows, Cols \ +> \ +eval(const XprMatrix<E1, Rows, Cols>& e1, const XprMatrix<E2, Rows, Cols>& e2, POD x3) { \ + typedef XprEval< \ + XprMatrix<E1, Rows, Cols>, \ + XprMatrix<E2, Rows, Cols>, \ + XprLiteral< POD > \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(e1, e2, XprLiteral< POD >(x3))); \ +} + +TVMET_IMPLEMENT_MACRO(int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_IMPLEMENT_MACRO(long long int) +#endif + +TVMET_IMPLEMENT_MACRO(float) +TVMET_IMPLEMENT_MACRO(double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_IMPLEMENT_MACRO(long double) +#endif + +#undef TVMET_IMPLEMENT_MACRO + + +/* + * trinary evaluation functions with matrizes, xpr of and complex<> types + * + * XprMatrix<E, Rows, Cols> e, std::complex<T> z2, std::complex<T> z3 + * XprMatrix<E1, Rows, Cols> e1, std::complex<T> z2, XprMatrix<E3, Rows, Cols> e3 + * XprMatrix<E1, Rows, Cols> e1, XprMatrix<E2, Rows, Cols> e2, std::complex<T> z3 + */ +#if defined(TVMET_HAVE_COMPLEX) + +/** + * \fn eval(const XprMatrix<E, Rows, Cols>& e, const std::complex<T>& x2, const std::complex<T>& x3) + * \brief Evals the matrix expressions. + * \ingroup _trinary_function + * This eval is for the a?b:c syntax, since it's not allowed to overload + * these operators. + */ +template<class E, std::size_t Rows, std::size_t Cols, class T> +inline +XprMatrix< + XprEval< + XprMatrix<E, Rows, Cols>, + XprLiteral< std::complex<T> >, + XprLiteral< std::complex<T> > + >, + Rows, Cols +> +eval(const XprMatrix<E, Rows, Cols>& e, const std::complex<T>& x2, const std::complex<T>& x3) { + typedef XprEval< + XprMatrix<E, Rows, Cols>, + XprLiteral< std::complex<T> >, + XprLiteral< std::complex<T> > + > expr_type; + return XprMatrix<expr_type, Rows, Cols>( + expr_type(e, XprLiteral< std::complex<T> >(x2), XprLiteral< std::complex<T> >(x3))); +} + + +/** + * \fn eval(const XprMatrix<E1, Rows, Cols>& e1, const std::complex<T>& x2, const XprMatrix<E3, Rows, Cols>& e3) + * \brief Evals the matrix expressions. + * \ingroup _trinary_function + * This eval is for the a?b:c syntax, since it's not allowed to overload + * these operators. + */ +template<class E1, class E3, std::size_t Rows, std::size_t Cols, class T> +inline +XprMatrix< + XprEval< + XprMatrix<E1, Rows, Cols>, + XprLiteral< std::complex<T> >, + XprMatrix<E3, Rows, Cols> + >, + Rows, Cols +> +eval(const XprMatrix<E1, Rows, Cols>& e1, const std::complex<T>& x2, const XprMatrix<E3, Rows, Cols>& e3) { + typedef XprEval< + XprMatrix<E1, Rows, Cols>, + XprLiteral< std::complex<T> >, + XprMatrix<E3, Rows, Cols> + > expr_type; + return XprMatrix<expr_type, Rows, Cols>( + expr_type(e1, XprLiteral< std::complex<T> >(x2), e3)); +} + + +/** + * \fn eval(const XprMatrix<E1, Rows, Cols>& e1, const XprMatrix<E2, Rows, Cols>& e2, const std::complex<T>& x3) + * \brief Evals the matrix expressions. + * \ingroup _trinary_function + * This eval is for the a?b:c syntax, since it's not allowed to overload + * these operators. + */ +template<class E1, class E2, std::size_t Rows, std::size_t Cols, class T> +inline +XprMatrix< + XprEval< + XprMatrix<E1, Rows, Cols>, + XprMatrix<E2, Rows, Cols>, + XprLiteral< std::complex<T> > + >, + Rows, Cols +> +eval(const XprMatrix<E1, Rows, Cols>& e1, const XprMatrix<E2, Rows, Cols>& e2, const std::complex<T>& x3) { + typedef XprEval< + XprMatrix<E1, Rows, Cols>, + XprMatrix<E2, Rows, Cols>, + XprLiteral< std::complex<T> > + > expr_type; + return XprMatrix<expr_type, Rows, Cols>( + expr_type(e1, e2, XprLiteral< std::complex<T> >(x3))); +} +#endif // defined(TVMET_HAVE_COMPLEX) + + +} // namespace tvmet + +#endif // TVMET_MATRIX_EVAL_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/MatrixFunctions.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,1377 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * lesser General Public License for more details. + * + * You should have received a copy of the GNU lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: MatrixFunctions.h,v 1.65 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_MATRIX_FUNCTIONS_H +#define TVMET_MATRIX_FUNCTIONS_H + +#include <tvmet/Extremum.h> + +namespace tvmet { + +/* forwards */ +template<class T, std::size_t Sz> class Vector; +template<class T, std::size_t Sz> class VectorConstReference; + + +/********************************************************* + * PART I: DECLARATION + *********************************************************/ + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Vector arithmetic functions add, sub, mul and div + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * function(Matrix<T1, Rows, Cols>, Matrix<T2, Rows, Cols>) + * function(XprMatrix<E, Rows, Cols>, Matrix<T, Rows, Cols>) + * function(Matrix<T, Rows, Cols>, XprMatrix<E, Rows, Cols>) + */ +#define TVMET_DECLARE_MACRO(NAME) \ +template<class T1, class T2, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<T1, T2>, \ + MatrixConstReference<T1, Rows, Cols>, \ + MatrixConstReference<T2, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME (const Matrix<T1, Rows, Cols>& lhs, \ + const Matrix<T2, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class E, class T, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + XprMatrix<E, Rows, Cols>, \ + MatrixConstReference<T, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME (const XprMatrix<E, Rows, Cols>& lhs, \ + const Matrix<T, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class T, class E, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + MatrixConstReference<T, Rows, Cols>, \ + XprMatrix<E, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME (const Matrix<T, Rows, Cols>& lhs, \ + const XprMatrix<E, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(add) // per se element wise +TVMET_DECLARE_MACRO(sub) // per se element wise +namespace element_wise { + TVMET_DECLARE_MACRO(mul) // not defined for matrizes + TVMET_DECLARE_MACRO(div) // not defined for matrizes +} + +#undef TVMET_DECLARE_MACRO + + +/* + * function(Matrix<T, Rows, Cols>, POD) + * function(POD, Matrix<T, Rows, Cols>) + * Note: - operations +,-,*,/ are per se element wise + */ +#define TVMET_DECLARE_MACRO(NAME, POD) \ +template<class T, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<T, POD >, \ + MatrixConstReference<T, Rows, Cols>, \ + XprLiteral<POD > \ + >, \ + Rows, Cols \ +> \ +NAME (const Matrix<T, Rows, Cols>& lhs, \ + POD rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class T, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME< POD, T>, \ + XprLiteral< POD >, \ + MatrixConstReference<T, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME (POD lhs, \ + const Matrix<T, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(add, int) +TVMET_DECLARE_MACRO(sub, int) +TVMET_DECLARE_MACRO(mul, int) +TVMET_DECLARE_MACRO(div, int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_DECLARE_MACRO(add, long long int) +TVMET_DECLARE_MACRO(sub, long long int) +TVMET_DECLARE_MACRO(mul, long long int) +TVMET_DECLARE_MACRO(div, long long int) +#endif + +TVMET_DECLARE_MACRO(add, float) +TVMET_DECLARE_MACRO(sub, float) +TVMET_DECLARE_MACRO(mul, float) +TVMET_DECLARE_MACRO(div, float) + +TVMET_DECLARE_MACRO(add, double) +TVMET_DECLARE_MACRO(sub, double) +TVMET_DECLARE_MACRO(mul, double) +TVMET_DECLARE_MACRO(div, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_DECLARE_MACRO(add, long double) +TVMET_DECLARE_MACRO(sub, long double) +TVMET_DECLARE_MACRO(mul, long double) +TVMET_DECLARE_MACRO(div, long double) +#endif + +#undef TVMET_DECLARE_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * function(Matrix<T, Rows, Cols>, complex<T>) + * function(complex<T>, Matrix<T, Rows, Cols>) + * Note: - operations +,-,*,/ are per se element wise + * \todo type promotion + */ +#define TVMET_DECLARE_MACRO(NAME) \ +template<class T, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + MatrixConstReference< std::complex<T>, Rows, Cols>, \ + XprLiteral<std::complex<T> > \ + >, \ + Rows, Cols \ +> \ +NAME (const Matrix< std::complex<T>, Rows, Cols>& lhs, \ + const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class T, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + XprLiteral< std::complex<T> >, \ + MatrixConstReference< std::complex<T>, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME (const std::complex<T>& lhs, \ + const Matrix< std::complex<T>, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(add) +TVMET_DECLARE_MACRO(sub) +TVMET_DECLARE_MACRO(mul) +TVMET_DECLARE_MACRO(div) + +#undef TVMET_DECLARE_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * matrix specific prod( ... ) functions + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +template<class T1, std::size_t Rows1, std::size_t Cols1, + class T2, std::size_t Cols2> +XprMatrix< + XprMMProduct< + MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) + MatrixConstReference<T2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2) + >, + Rows1, Cols2 // return Dim +> +prod(const Matrix<T1, Rows1, Cols1>& lhs, + const Matrix<T2, Cols1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class E1, std::size_t Rows1, std::size_t Cols1, + class T2, std::size_t Cols2> +XprMatrix< + XprMMProduct< + XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) + MatrixConstReference<T2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2) + >, + Rows1, Cols2 // return Dim +> +prod(const XprMatrix<E1, Rows1, Cols1>& lhs, + const Matrix<T2, Cols1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class T1, std::size_t Rows1, std::size_t Cols1, + class E2, std::size_t Cols2> +XprMatrix< + XprMMProduct< + MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) + XprMatrix<E2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2) + >, + Rows1, Cols2 // return Dim +> +prod(const Matrix<T1, Rows1, Cols1>& lhs, + const XprMatrix<E2, Cols1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class T1, std::size_t Rows1, std::size_t Cols1, + class T2, std::size_t Cols2> +XprMatrix< + XprMMProductTransposed< + MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) + MatrixConstReference<T2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2) + >, + Cols2, Rows1 // return Dim +> +trans_prod(const Matrix<T1, Rows1, Cols1>& lhs, + const Matrix<T2, Cols1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class T1, std::size_t Rows1, std::size_t Cols1, + class T2, std::size_t Cols2> // Rows2 = Rows1 +XprMatrix< + XprMtMProduct< + MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) + MatrixConstReference<T2, Rows1, Cols2>, Cols2 // M2(Rows1, Cols2) + >, + Cols1, Cols2 // return Dim +> +MtM_prod(const Matrix<T1, Rows1, Cols1>& lhs, + const Matrix<T2, Rows1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class T1, std::size_t Rows1, std::size_t Cols1, + class T2, std::size_t Rows2> +XprMatrix< + XprMMtProduct< + MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) + MatrixConstReference<T2, Rows2, Cols1>, Cols1 // M2(Rows2, Cols1) + >, + Rows1, Rows2 // return Dim +> +MMt_prod(const Matrix<T1, Rows1, Cols1>& lhs, + const Matrix<T2, Rows2, Cols1>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * matrix-vector specific prod( ... ) functions + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +template<class T1, class T2, std::size_t Rows, std::size_t Cols> +XprVector< + XprMVProduct< + MatrixConstReference<T1, Rows, Cols>, Rows, Cols, // M(Rows, Cols) + VectorConstReference<T2, Cols> // V + >, + Rows +> +prod(const Matrix<T1, Rows, Cols>& lhs, + const Vector<T2, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class T1, class E2, std::size_t Rows, std::size_t Cols> +XprVector< + XprMVProduct< + MatrixConstReference<T1, Rows, Cols>, Rows, Cols, + XprVector<E2, Cols> + >, + Rows +> +prod(const Matrix<T1, Rows, Cols>& lhs, + const XprVector<E2, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class E1, class T2, std::size_t Rows, std::size_t Cols> +XprVector< + XprMVProduct< + XprMatrix<E1, Rows, Cols>, Rows, Cols, // M(Rows, Cols) + VectorConstReference<T2, Cols> // V + >, + Rows +> +prod(const XprMatrix<E1, Rows, Cols>& lhs, + const Vector<T2, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class T1, class T2, std::size_t Rows, std::size_t Cols> +XprVector< + XprMtVProduct< + MatrixConstReference<T1, Rows, Cols>, Rows, Cols, // M(Rows, Cols) + VectorConstReference<T2, Rows> // V + >, + Cols +> +Mtx_prod(const Matrix<T1, Rows, Cols>& lhs, + const Vector<T2, Rows>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * matrix specific functions + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +template<class T, std::size_t Rows, std::size_t Cols> +XprMatrix< + XprMatrixTranspose< + MatrixConstReference<T, Rows, Cols> + >, + Cols, Rows +> +trans(const Matrix<T, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class T, std::size_t Sz> +typename NumericTraits<T>::sum_type +trace(const Matrix<T, Sz, Sz>& m) TVMET_CXX_ALWAYS_INLINE; + + +template<class T, std::size_t Rows, std::size_t Cols> +XprVector< + XprMatrixRow< + MatrixConstReference<T, Rows, Cols>, + Rows, Cols + >, + Cols +> +row(const Matrix<T, Rows, Cols>& m, + std::size_t no) TVMET_CXX_ALWAYS_INLINE; + + +template<class T, std::size_t Rows, std::size_t Cols> +XprVector< + XprMatrixCol< + MatrixConstReference<T, Rows, Cols>, + Rows, Cols + >, + Rows +> +col(const Matrix<T, Rows, Cols>& m, + std::size_t no) TVMET_CXX_ALWAYS_INLINE; + + +template<class T, std::size_t Sz> +XprVector< + XprMatrixDiag< + MatrixConstReference<T, Sz, Sz>, + Sz + >, + Sz +> +diag(const Matrix<T, Sz, Sz>& m) TVMET_CXX_ALWAYS_INLINE; + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * min/max unary functions + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +template<class E, std::size_t Rows, std::size_t Cols> +Extremum<typename E::value_type, std::size_t, matrix_tag> +maximum(const XprMatrix<E, Rows, Cols>& e); // NOT TVMET_CXX_ALWAYS_INLINE; + + +template<class T, std::size_t Rows, std::size_t Cols> +Extremum<T, std::size_t, matrix_tag> +maximum(const Matrix<T, Rows, Cols>& m) TVMET_CXX_ALWAYS_INLINE; + + +template<class E, std::size_t Rows, std::size_t Cols> +Extremum<typename E::value_type, std::size_t, matrix_tag> +minimum(const XprMatrix<E, Rows, Cols>& e); // NOT TVMET_CXX_ALWAYS_INLINE; + + +template<class T, std::size_t Rows, std::size_t Cols> +Extremum<T, std::size_t, matrix_tag> +minimum(const Matrix<T, Rows, Cols>& m) TVMET_CXX_ALWAYS_INLINE; + + +template<class E, std::size_t Rows, std::size_t Cols> +typename E::value_type +max(const XprMatrix<E, Rows, Cols>& e); // NOT TVMET_CXX_ALWAYS_INLINE; + + +template<class T, std::size_t Rows, std::size_t Cols> +T max(const Matrix<T, Rows, Cols>& m) TVMET_CXX_ALWAYS_INLINE; + + +template<class E, std::size_t Rows, std::size_t Cols> +typename E::value_type +min(const XprMatrix<E, Rows, Cols>& e); // NOT TVMET_CXX_ALWAYS_INLINE; + + +template<class T, std::size_t Rows, std::size_t Cols> +T min(const Matrix<T, Rows, Cols>& m) TVMET_CXX_ALWAYS_INLINE; + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * other unary functions + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +template<class T, std::size_t Rows, std::size_t Cols> +XprMatrix< + XprIdentity<T, Rows, Cols>, + Rows, Cols +> +identity() TVMET_CXX_ALWAYS_INLINE; + + +template<class M> +XprMatrix< + XprIdentity< + typename M::value_type, + M::Rows, M::Cols>, + M::Rows, M::Cols +> +identity() TVMET_CXX_ALWAYS_INLINE; + + +template<class T, std::size_t Rows, std::size_t Cols> +XprMatrix< + MatrixConstReference<T, Rows, Cols>, + Rows, Cols +> +cmatrix_ref(const T* mem) TVMET_CXX_ALWAYS_INLINE; + + +/********************************************************* + * PART II: IMPLEMENTATION + *********************************************************/ + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Vector arithmetic functions add, sub, mul and div + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * function(Matrix<T1, Rows, Cols>, Matrix<T2, Rows, Cols>) + * function(XprMatrix<E, Rows, Cols>, Matrix<T, Rows, Cols>) + * function(Matrix<T, Rows, Cols>, XprMatrix<E, Rows, Cols>) + */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class T1, class T2, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<T1, T2>, \ + MatrixConstReference<T1, Rows, Cols>, \ + MatrixConstReference<T2, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME (const Matrix<T1, Rows, Cols>& lhs, const Matrix<T2, Rows, Cols>& rhs) { \ + typedef XprBinOp < \ + Fcnl_##NAME<T1, T2>, \ + MatrixConstReference<T1, Rows, Cols>, \ + MatrixConstReference<T2, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(lhs.const_ref(), rhs.const_ref())); \ +} \ + \ +template<class E, class T, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + XprMatrix<E, Rows, Cols>, \ + MatrixConstReference<T, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME (const XprMatrix<E, Rows, Cols>& lhs, const Matrix<T, Rows, Cols>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + XprMatrix<E, Rows, Cols>, \ + MatrixConstReference<T, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(lhs, rhs.const_ref())); \ +} \ + \ +template<class T, class E, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + MatrixConstReference<T, Rows, Cols>, \ + XprMatrix<E, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME (const Matrix<T, Rows, Cols>& lhs, const XprMatrix<E, Rows, Cols>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<T, typename E::value_type>, \ + MatrixConstReference<T, Rows, Cols>, \ + XprMatrix<E, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(lhs.const_ref(), rhs)); \ +} + +TVMET_IMPLEMENT_MACRO(add) // per se element wise +TVMET_IMPLEMENT_MACRO(sub) // per se element wise +namespace element_wise { + TVMET_IMPLEMENT_MACRO(mul) // not defined for matrizes + TVMET_IMPLEMENT_MACRO(div) // not defined for matrizes +} + +#undef TVMET_IMPLEMENT_MACRO + + +/* + * function(Matrix<T, Rows, Cols>, POD) + * function(POD, Matrix<T, Rows, Cols>) + * Note: - operations +,-,*,/ are per se element wise + */ +#define TVMET_IMPLEMENT_MACRO(NAME, POD) \ +template<class T, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<T, POD >, \ + MatrixConstReference<T, Rows, Cols>, \ + XprLiteral<POD > \ + >, \ + Rows, Cols \ +> \ +NAME (const Matrix<T, Rows, Cols>& lhs, POD rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<T, POD >, \ + MatrixConstReference<T, Rows, Cols>, \ + XprLiteral< POD > \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(lhs.const_ref(), XprLiteral< POD >(rhs))); \ +} \ + \ +template<class T, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME< POD, T>, \ + XprLiteral< POD >, \ + MatrixConstReference<T, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME (POD lhs, const Matrix<T, Rows, Cols>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME< POD, T>, \ + XprLiteral< POD >, \ + MatrixConstReference<T, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(XprLiteral< POD >(lhs), rhs.const_ref())); \ +} + +TVMET_IMPLEMENT_MACRO(add, int) +TVMET_IMPLEMENT_MACRO(sub, int) +TVMET_IMPLEMENT_MACRO(mul, int) +TVMET_IMPLEMENT_MACRO(div, int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_IMPLEMENT_MACRO(add, long long int) +TVMET_IMPLEMENT_MACRO(sub, long long int) +TVMET_IMPLEMENT_MACRO(mul, long long int) +TVMET_IMPLEMENT_MACRO(div, long long int) +#endif + +TVMET_IMPLEMENT_MACRO(add, float) +TVMET_IMPLEMENT_MACRO(sub, float) +TVMET_IMPLEMENT_MACRO(mul, float) +TVMET_IMPLEMENT_MACRO(div, float) + +TVMET_IMPLEMENT_MACRO(add, double) +TVMET_IMPLEMENT_MACRO(sub, double) +TVMET_IMPLEMENT_MACRO(mul, double) +TVMET_IMPLEMENT_MACRO(div, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_IMPLEMENT_MACRO(add, long double) +TVMET_IMPLEMENT_MACRO(sub, long double) +TVMET_IMPLEMENT_MACRO(mul, long double) +TVMET_IMPLEMENT_MACRO(div, long double) +#endif + +#undef TVMET_IMPLEMENT_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * function(Matrix<T, Rows, Cols>, complex<T>) + * function(complex<T>, Matrix<T, Rows, Cols>) + * Note: - operations +,-,*,/ are per se element wise + * \todo type promotion + */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class T, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + MatrixConstReference< std::complex<T>, Rows, Cols>, \ + XprLiteral<std::complex<T> > \ + >, \ + Rows, Cols \ +> \ +NAME (const Matrix< std::complex<T>, Rows, Cols>& lhs, \ + const std::complex<T>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + MatrixConstReference< std::complex<T>, Rows, Cols>, \ + XprLiteral< std::complex<T> > \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(lhs.const_ref(), XprLiteral< std::complex<T> >(rhs))); \ +} \ + \ +template<class T, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + XprLiteral< std::complex<T> >, \ + MatrixConstReference< std::complex<T>, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME (const std::complex<T>& lhs, \ + const Matrix< std::complex<T>, Rows, Cols>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + XprLiteral< std::complex<T> >, \ + MatrixConstReference<std::complex<T>, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(XprLiteral< std::complex<T> >(lhs), rhs.const_ref())); \ +} + +TVMET_IMPLEMENT_MACRO(add) +TVMET_IMPLEMENT_MACRO(sub) +TVMET_IMPLEMENT_MACRO(mul) +TVMET_IMPLEMENT_MACRO(div) + +#undef TVMET_IMPLEMENT_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * matrix specific prod( ... ) functions + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/** + * \fn prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs) + * \brief Function for the matrix-matrix-product. + * \ingroup _binary_function + * \note The rows2 has to be equal to cols1. + */ +template<class T1, std::size_t Rows1, std::size_t Cols1, + class T2, std::size_t Cols2> +inline +XprMatrix< + XprMMProduct< + MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) + MatrixConstReference<T2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2) + >, + Rows1, Cols2 // return Dim +> +prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs) { + typedef XprMMProduct< + MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, + MatrixConstReference<T2, Cols1, Cols2>, Cols2 + > expr_type; + return XprMatrix<expr_type, Rows1, Cols2>( + expr_type(lhs.const_ref(), rhs.const_ref())); +} + + +/** + * \fn prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs) + * \brief Evaluate the product of XprMatrix and Matrix. + * \ingroup _binary_function + */ +template<class E1, std::size_t Rows1, std::size_t Cols1, + class T2, std::size_t Cols2> +inline +XprMatrix< + XprMMProduct< + XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) + MatrixConstReference<T2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2) + >, + Rows1, Cols2 // return Dim +> +prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs) { + typedef XprMMProduct< + XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, + MatrixConstReference<T2, Cols1, Cols2>, Cols2 + > expr_type; + return XprMatrix<expr_type, Rows1, Cols2>( + expr_type(lhs, rhs.const_ref())); +} + + +/** + * \fn prod(const Matrix<T1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1, Cols2>& rhs) + * \brief Evaluate the product of Matrix and XprMatrix. + * \ingroup _binary_function + */ +template<class T1, std::size_t Rows1, std::size_t Cols1, + class E2, std::size_t Cols2> +inline +XprMatrix< + XprMMProduct< + MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) + XprMatrix<E2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2) + >, + Rows1, Cols2 // return Dim +> +prod(const Matrix<T1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1, Cols2>& rhs) { + typedef XprMMProduct< + MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, + XprMatrix<E2, Cols1, Cols2>, Cols2 + > expr_type; + return XprMatrix<expr_type, Rows1, Cols2>( + expr_type(lhs.const_ref(), rhs)); +} + + +/** + * \fn trans_prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs) + * \brief Function for the trans(matrix-matrix-product) + * \ingroup _binary_function + * Perform on given Matrix M1 and M2: + * \f[ + * (M_1\,M_2)^T + * \f] + */ +template<class T1, std::size_t Rows1, std::size_t Cols1, + class T2, std::size_t Cols2> +inline +XprMatrix< + XprMMProductTransposed< + MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) + MatrixConstReference<T2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2) + >, + Cols2, Rows1 // return Dim +> +trans_prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs) { + typedef XprMMProductTransposed< + MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, + MatrixConstReference<T2, Cols1, Cols2>, Cols2 + > expr_type; + return XprMatrix<expr_type, Cols2, Rows1>( + expr_type(lhs.const_ref(), rhs.const_ref())); +} + + +/** + * \fn MtM_prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Rows1, Cols2>& rhs) + * \brief Function for the trans(matrix)-matrix-product. + * \ingroup _binary_function + * using formula + * \f[ + * M_1^{T}\,M_2 + * \f] + * \note The number of cols of matrix 2 have to be equal to number of rows of + * matrix 1, since matrix 1 is trans - the result is a (Cols1 x Cols2) + * matrix. + */ +template<class T1, std::size_t Rows1, std::size_t Cols1, + class T2, std::size_t Cols2> // Rows2 = Rows1 +inline +XprMatrix< + XprMtMProduct< + MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) + MatrixConstReference<T2, Rows1, Cols2>, Cols2 // M2(Rows1, Cols2) + >, + Cols1, Cols2 // return Dim +> +MtM_prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Rows1, Cols2>& rhs) { + typedef XprMtMProduct< + MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, + MatrixConstReference<T2, Rows1, Cols2>, Cols2 + > expr_type; + return XprMatrix<expr_type, Cols1, Cols2>( + expr_type(lhs.const_ref(), rhs.const_ref())); +} + + +/** + * \fn MMt_prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Rows2, Cols1>& rhs) + * \brief Function for the matrix-trans(matrix)-product. + * \ingroup _binary_function + * \note The Cols2 has to be equal to Cols1. + */ +template<class T1, std::size_t Rows1, std::size_t Cols1, + class T2, std::size_t Rows2> +inline +XprMatrix< + XprMMtProduct< + MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) + MatrixConstReference<T2, Rows2, Cols1>, Cols1 // M2(Rows2, Cols1) + >, + Rows1, Rows2 // return Dim +> +MMt_prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Rows2, Cols1>& rhs) { + typedef XprMMtProduct< + MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, + MatrixConstReference<T2, Rows2, Cols1>, Cols1 + > expr_type; + return XprMatrix<expr_type, Rows1, Rows2>( + expr_type(lhs.const_ref(), rhs.const_ref())); +} + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * matrix-vector specific prod( ... ) functions + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/** + * \fn prod(const Matrix<T1, Rows, Cols>& lhs, const Vector<T2, Cols>& rhs) + * \brief Function for the matrix-vector-product + * \ingroup _binary_function + */ +template<class T1, class T2, std::size_t Rows, std::size_t Cols> +inline +XprVector< + XprMVProduct< + MatrixConstReference<T1, Rows, Cols>, Rows, Cols, // M(Rows, Cols) + VectorConstReference<T2, Cols> // V + >, + Rows +> +prod(const Matrix<T1, Rows, Cols>& lhs, const Vector<T2, Cols>& rhs) { + typedef XprMVProduct< + MatrixConstReference<T1, Rows, Cols>, Rows, Cols, + VectorConstReference<T2, Cols> + > expr_type; + return XprVector<expr_type, Rows>( + expr_type(lhs.const_ref(), rhs.const_ref())); +} + + +/** + * \fn prod(const Matrix<T1, Rows, Cols>& lhs, const XprVector<E2, Cols>& rhs) + * \brief Function for the matrix-vector-product + * \ingroup _binary_function + */ +template<class T1, class E2, std::size_t Rows, std::size_t Cols> +inline +XprVector< + XprMVProduct< + MatrixConstReference<T1, Rows, Cols>, Rows, Cols, + XprVector<E2, Cols> + >, + Rows +> +prod(const Matrix<T1, Rows, Cols>& lhs, const XprVector<E2, Cols>& rhs) { + typedef XprMVProduct< + MatrixConstReference<T1, Rows, Cols>, Rows, Cols, + XprVector<E2, Cols> + > expr_type; + return XprVector<expr_type, Rows>( + expr_type(lhs.const_ref(), rhs)); +} + + +/* + * \fn prod(const XprMatrix<E, Rows, Cols>& lhs, const Vector<T, Cols>& rhs) + * \brief Compute the product of an XprMatrix with a Vector. + * \ingroup _binary_function + */ +template<class E1, class T2, std::size_t Rows, std::size_t Cols> +inline +XprVector< + XprMVProduct< + XprMatrix<E1, Rows, Cols>, Rows, Cols, // M(Rows, Cols) + VectorConstReference<T2, Cols> // V + >, + Rows +> +prod(const XprMatrix<E1, Rows, Cols>& lhs, const Vector<T2, Cols>& rhs) { + typedef XprMVProduct< + XprMatrix<E1, Rows, Cols>, Rows, Cols, + VectorConstReference<T2, Cols> + > expr_type; + return XprVector<expr_type, Rows>( + expr_type(lhs, rhs.const_ref())); +} + + +/** + * \fn Mtx_prod(const Matrix<T1, Rows, Cols>& matrix, const Vector<T2, Rows>& vector) + * \brief Function for the trans(matrix)-vector-product + * \ingroup _binary_function + * Perform on given Matrix M and vector x: + * \f[ + * M^T\, x + * \f] + */ +template<class T1, class T2, std::size_t Rows, std::size_t Cols> +inline +XprVector< + XprMtVProduct< + MatrixConstReference<T1, Rows, Cols>, Rows, Cols, // M(Rows, Cols) + VectorConstReference<T2, Rows> // V + >, + Cols +> +Mtx_prod(const Matrix<T1, Rows, Cols>& lhs, const Vector<T2, Rows>& rhs) { + typedef XprMtVProduct< + MatrixConstReference<T1, Rows, Cols>, Rows, Cols, + VectorConstReference<T2, Rows> + > expr_type; + return XprVector<expr_type, Cols>( + expr_type(lhs.const_ref(), rhs.const_ref())); +} + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * matrix specific functions + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/** + * \fn trans(const Matrix<T, Rows, Cols>& rhs) + * \brief Transpose the matrix + * \ingroup _unary_function + */ +template<class T, std::size_t Rows, std::size_t Cols> +inline +XprMatrix< + XprMatrixTranspose< + MatrixConstReference<T, Rows, Cols> + >, + Cols, Rows +> +trans(const Matrix<T, Rows, Cols>& rhs) { + typedef XprMatrixTranspose< + MatrixConstReference<T, Rows, Cols> + > expr_type; + return XprMatrix<expr_type, Cols, Rows>( + expr_type(rhs.const_ref())); +} + + +/* + * \fn trace(const Matrix<T, Sz, Sz>& m) + * \brief Compute the trace of a square matrix. + * \ingroup _unary_function + * + * Simply compute the trace of the given matrix as: + * \f[ + * \sum_{k = 0}^{Sz-1} m(k, k) + * \f] + */ +template<class T, std::size_t Sz> +inline +typename NumericTraits<T>::sum_type +trace(const Matrix<T, Sz, Sz>& m) { + return meta::Matrix<Sz, Sz, 0, 0>::trace(m); +} + + +/** + * \fn row(const Matrix<T, Rows, Cols>& m, std::size_t no) + * \brief Returns a row vector of the given matrix. + * \ingroup _binary_function + */ +template<class T, std::size_t Rows, std::size_t Cols> +inline +XprVector< + XprMatrixRow< + MatrixConstReference<T, Rows, Cols>, + Rows, Cols + >, + Cols +> +row(const Matrix<T, Rows, Cols>& m, std::size_t no) { + typedef XprMatrixRow< + MatrixConstReference<T, Rows, Cols>, + Rows, Cols + > expr_type; + return XprVector<expr_type, Cols>(expr_type(m.const_ref(), no)); +} + + +/** + * \fn col(const Matrix<T, Rows, Cols>& m, std::size_t no) + * \brief Returns a column vector of the given matrix. + * \ingroup _binary_function + */ +template<class T, std::size_t Rows, std::size_t Cols> +inline +XprVector< + XprMatrixCol< + MatrixConstReference<T, Rows, Cols>, + Rows, Cols + >, + Rows +> +col(const Matrix<T, Rows, Cols>& m, std::size_t no) { + typedef XprMatrixCol< + MatrixConstReference<T, Rows, Cols>, + Rows, Cols + > expr_type; + return XprVector<expr_type, Rows>(expr_type(m.const_ref(), no)); +} + + +/** + * \fn diag(const Matrix<T, Sz, Sz>& m) + * \brief Returns the diagonal vector of the given square matrix. + * \ingroup _unary_function + */ +template<class T, std::size_t Sz> +inline +XprVector< + XprMatrixDiag< + MatrixConstReference<T, Sz, Sz>, + Sz + >, + Sz +> +diag(const Matrix<T, Sz, Sz>& m) { + typedef XprMatrixDiag< + MatrixConstReference<T, Sz, Sz>, + Sz + > expr_type; + return XprVector<expr_type, Sz>(expr_type(m.const_ref())); +} + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * min/max unary functions + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/** + * \fn maximum(const XprMatrix<E, Rows, Cols>& e) + * \brief Find the maximum of a matrix expression + * \ingroup _unary_function + */ +template<class E, std::size_t Rows, std::size_t Cols> +inline +Extremum<typename E::value_type, std::size_t, matrix_tag> +maximum(const XprMatrix<E, Rows, Cols>& e) { + typedef typename E::value_type value_type; + + value_type temp(e(0, 0)); + std::size_t row_no(0), col_no(0); + + for(std::size_t i = 0; i != Rows; ++i) { + for(std::size_t j = 0; j != Cols; ++j) { + if(e(i, j) > temp) { + temp = e(i, j); + row_no = i; + col_no = j; + } + } + } + + return Extremum<value_type, std::size_t, matrix_tag>(temp, row_no, col_no); +} + + +/** + * \fn maximum(const Matrix<T, Rows, Cols>& m) + * \brief Find the maximum of a matrix + * \ingroup _unary_function + */ +template<class T, std::size_t Rows, std::size_t Cols> +inline +Extremum<T, std::size_t, matrix_tag> +maximum(const Matrix<T, Rows, Cols>& m) { return maximum(m.as_expr()); } + + +/** + * \fn minimum(const XprMatrix<E, Rows, Cols>& e) + * \brief Find the minimum of a matrix expression + * \ingroup _unary_function + */ +template<class E, std::size_t Rows, std::size_t Cols> +inline +Extremum<typename E::value_type, std::size_t, matrix_tag> +minimum(const XprMatrix<E, Rows, Cols>& e) { + typedef typename E::value_type value_type; + + value_type temp(e(0, 0)); + std::size_t row_no(0), col_no(0); + + for(std::size_t i = 0; i != Rows; ++i) { + for(std::size_t j = 0; j != Cols; ++j) { + if(e(i, j) < temp) { + temp = e(i, j); + row_no = i; + col_no = j; + } + } + } + + return Extremum<value_type, std::size_t, matrix_tag>(temp, row_no, col_no); +} + + +/** + * \fn minimum(const Matrix<T, Rows, Cols>& m) + * \brief Find the minimum of a matrix + * \ingroup _unary_function + */ +template<class T, std::size_t Rows, std::size_t Cols> +inline +Extremum<T, std::size_t, matrix_tag> +minimum(const Matrix<T, Rows, Cols>& m) { return minimum(m.as_expr()); } + + +/** + * \fn max(const XprMatrix<E, Rows, Cols>& e) + * \brief Find the maximum of a matrix expression + * \ingroup _unary_function + */ +template<class E, std::size_t Rows, std::size_t Cols> +inline +typename E::value_type +max(const XprMatrix<E, Rows, Cols>& e) { + typedef typename E::value_type value_type; + + value_type temp(e(0, 0)); + + for(std::size_t i = 0; i != Rows; ++i) + for(std::size_t j = 0; j != Cols; ++j) + if(e(i, j) > temp) + temp = e(i, j); + + return temp; +} + + +/** + * \fn max(const Matrix<T, Rows, Cols>& m) + * \brief Find the maximum of a matrix + * \ingroup _unary_function + */ +template<class T, std::size_t Rows, std::size_t Cols> +inline +T max(const Matrix<T, Rows, Cols>& m) { + typedef T value_type; + typedef typename Matrix< + T, Rows, Cols + >::const_iterator const_iterator; + + const_iterator iter(m.begin()); + const_iterator last(m.end()); + value_type temp(*iter); + + for( ; iter != last; ++iter) + if(*iter > temp) + temp = *iter; + + return temp; +} + + +/** + * \fn min(const XprMatrix<E, Rows, Cols>& e) + * \brief Find the minimum of a matrix expression + * \ingroup _unary_function + */ +template<class E, std::size_t Rows, std::size_t Cols> +inline +typename E::value_type +min(const XprMatrix<E, Rows, Cols>& e) { + typedef typename E::value_type value_type; + + value_type temp(e(0, 0)); + + for(std::size_t i = 0; i != Rows; ++i) + for(std::size_t j = 0; j != Cols; ++j) + if(e(i, j) < temp) + temp = e(i, j); + + return temp; +} + + +/** + * \fn min(const Matrix<T, Rows, Cols>& m) + * \brief Find the minimum of a matrix + * \ingroup _unary_function + */ +template<class T, std::size_t Rows, std::size_t Cols> +inline +T min(const Matrix<T, Rows, Cols>& m) { + typedef T value_type; + typedef typename Matrix< + T, Rows, Cols + >::const_iterator const_iterator; + + const_iterator iter(m.begin()); + const_iterator last(m.end()); + value_type temp(*iter); + + for( ; iter != last; ++iter) + if(*iter < temp) + temp = *iter; + + return temp; +} + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * other unary functions + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/** + * \fn XprMatrix<XprIdentity<typename M::value_type, M::Rows, M::Cols>, M::Rows, M::Cols>identity() + * \brief Fill a matrix to an identity matrix. + * \ingroup _unary_function + * + * \note The matrix doesn't need to be square. Only the elements + * where the current number of rows are equal to columns + * will be set to 1, else to 0. + * + * \par Usage: + * \code + * typedef Matrix<double,3,3> matrix_type; + * ... + * matrix_type E( identity<double, 3, 3>() ); + * \endcode + * + * Note, we have to specify the type, number of rows and columns + * since ADL can't work here. + * + * + * + * \since release 1.6.0 + */ +template<class T, std::size_t Rows, std::size_t Cols> +inline +XprMatrix< + XprIdentity<T, Rows, Cols>, + Rows, Cols +> +identity() { + typedef XprIdentity<T, Rows, Cols> expr_type; + + return XprMatrix<expr_type, Rows, Cols>(expr_type()); +} + +/** + * \fn XprMatrix<XprIdentity<typename M::value_type, M::Rows, M::Cols>, M::Rows, M::Cols>identity() + * \brief Fill a matrix to an identity matrix (convenience wrapper + * for matrix typedefs). + * \ingroup _unary_function + * + * \note The matrix doesn't need to be square. Only the elements + * where the current number of rows are equal to columns + * will be set to 1, else to 0. + * + * \par Usage: + * \code + * typedef Matrix<double,3,3> matrix_type; + * ... + * matrix_type E( identity<matrix_type>() ); + * \endcode + * + * Note, we have to specify the matrix type, since ADL can't work here. + * + * \since release 1.6.0 + */ +template<class M> +inline +XprMatrix< + XprIdentity< + typename M::value_type, + M::Rows, M::Cols>, + M::Rows, M::Cols +> +identity() { + return identity<typename M::value_type, M::Rows, M::Cols>(); +} + + +/** + * \fn cmatrix_ref(const T* mem) + * \brief Creates an expression wrapper for a C like matrices. + * \ingroup _unary_function + * + * This is like creating a matrix of external data, as described + * at \ref construct. With this function you wrap an expression + * around a C style matrix and you can operate directly with it + * as usual. + * + * \par Example: + * \code + * static float lhs[3][3] = { + * {-1, 0, 1}, { 1, 0, 1}, {-1, 0, -1} + * }; + * static float rhs[3][3] = { + * { 0, 1, 1}, { 0, 1, -1}, { 0, -1, 1} + * }; + * ... + * + * typedef Matrix<float, 3, 3> matrix_type; + * + * matrix_type M( cmatrix_ref<float, 3, 3>(&lhs[0][0]) + * * cmatrix_ref<float, 3, 3>(&rhs[0][0]) ); + * \endcode + * + * \since release 1.6.0 + */ +template<class T, std::size_t Rows, std::size_t Cols> +inline +XprMatrix< + MatrixConstReference<T, Rows, Cols>, + Rows, Cols +> +cmatrix_ref(const T* mem) { + typedef MatrixConstReference<T, Rows, Cols> expr_type; + + return XprMatrix<expr_type, Rows, Cols>(expr_type(mem)); +} + + +} // namespace tvmet + +#endif // TVMET_MATRIX_FUNCTIONS_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/MatrixImpl.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,218 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * lesser General Public License for more details. + * + * You should have received a copy of the GNU lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: MatrixImpl.h,v 1.31 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_MATRIX_IMPL_H +#define TVMET_MATRIX_IMPL_H + +#include <iomanip> // setw + +#include <tvmet/Functional.h> +#include <tvmet/Io.h> + + +namespace tvmet { + + +/* + * member operators for i/o + */ +template<class T, std::size_t NRows, std::size_t NCols> +std::ostream& Matrix<T, NRows, NCols>::print_xpr(std::ostream& os, std::size_t l) const +{ + os << IndentLevel(l++) << "Matrix[" << ops << "]<" + << typeid(T).name() << ", " << Rows << ", " << Cols << ">," + << IndentLevel(--l) + << std::endl; + + return os; +} + + +template<class T, std::size_t NRows, std::size_t NCols> +std::ostream& Matrix<T, NRows, NCols>::print_on(std::ostream& os) const +{ + enum { + complex_type = NumericTraits<value_type>::is_complex + }; + + std::streamsize w = IoPrintHelper<Matrix>::width(dispatch<complex_type>(), *this); + + os << std::setw(0) << "[\n"; + for(std::size_t i = 0; i < Rows; ++i) { + os << " ["; + for(std::size_t j = 0; j < (Cols - 1); ++j) { + os << std::setw(w) << this->operator()(i, j) << ", "; + } + os << std::setw(w) << this->operator()(i, Cols - 1) + << (i != (Rows-1) ? "],\n" : "]\n"); + } + os << "]"; + + return os; +} + + +/* + * member operators with scalars, per se element wise + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template<class T, std::size_t NRows, std::size_t NCols> \ +inline \ +Matrix<T, NRows, NCols>& \ +Matrix<T, NRows, NCols>::operator OP (value_type rhs) { \ + typedef XprLiteral<value_type> expr_type; \ + this->M_##NAME(XprMatrix<expr_type, Rows, Cols>(expr_type(rhs))); \ + return *this; \ +} + +TVMET_IMPLEMENT_MACRO(add_eq, +=) +TVMET_IMPLEMENT_MACRO(sub_eq, -=) +TVMET_IMPLEMENT_MACRO(mul_eq, *=) +TVMET_IMPLEMENT_MACRO(div_eq, /=) +#undef TVMET_IMPLEMENT_MACRO + + +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template<class T, std::size_t NRows, std::size_t NCols> \ +inline \ +Matrix<T, NRows, NCols>& \ +Matrix<T, NRows, NCols>::operator OP (std::size_t rhs) { \ + typedef XprLiteral<value_type> expr_type; \ + this->M_##NAME(XprMatrix<expr_type, Rows, Cols>(expr_type(rhs))); \ + return *this; \ +} + +TVMET_IMPLEMENT_MACRO(mod_eq, %=) +TVMET_IMPLEMENT_MACRO(xor_eq,^=) +TVMET_IMPLEMENT_MACRO(and_eq, &=) +TVMET_IMPLEMENT_MACRO(or_eq, |=) +TVMET_IMPLEMENT_MACRO(shl_eq, <<=) +TVMET_IMPLEMENT_MACRO(shr_eq, >>=) +#undef TVMET_IMPLEMENT_MACRO + + +/* + * member functions (operators) with matrizes, for use with +=,-= ... <<= + */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class T1, std::size_t NRows, std::size_t NCols> \ +template <class T2> \ +inline \ +Matrix<T1, NRows, NCols>& \ +Matrix<T1, NRows, NCols>::M_##NAME (const Matrix<T2, Rows, Cols>& rhs) { \ + this->M_##NAME( XprMatrix<typename Matrix<T2, Rows, Cols>::ConstReference, Rows, Cols>(rhs.const_ref()) ); \ + return *this; \ +} + +TVMET_IMPLEMENT_MACRO(add_eq) +TVMET_IMPLEMENT_MACRO(sub_eq) +TVMET_IMPLEMENT_MACRO(mul_eq) +TVMET_IMPLEMENT_MACRO(div_eq) +TVMET_IMPLEMENT_MACRO(mod_eq) +TVMET_IMPLEMENT_MACRO(xor_eq) +TVMET_IMPLEMENT_MACRO(and_eq) +TVMET_IMPLEMENT_MACRO(or_eq) +TVMET_IMPLEMENT_MACRO(shl_eq) +TVMET_IMPLEMENT_MACRO(shr_eq) +#undef TVMET_IMPLEMENT_MACRO + + +/* + * member functions (operators) with expressions, for use width +=,-= ... <<= + */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class T, std::size_t NRows, std::size_t NCols> \ +template<class E> \ +inline \ +Matrix<T, NRows, NCols>& \ +Matrix<T, NRows, NCols>::M_##NAME (const XprMatrix<E, Rows, Cols>& rhs) { \ + rhs.assign_to(*this, Fcnl_##NAME<value_type, typename E::value_type>()); \ + return *this; \ +} + +TVMET_IMPLEMENT_MACRO(add_eq) +TVMET_IMPLEMENT_MACRO(sub_eq) +TVMET_IMPLEMENT_MACRO(mul_eq) +TVMET_IMPLEMENT_MACRO(div_eq) +TVMET_IMPLEMENT_MACRO(mod_eq) +TVMET_IMPLEMENT_MACRO(xor_eq) +TVMET_IMPLEMENT_MACRO(and_eq) +TVMET_IMPLEMENT_MACRO(or_eq) +TVMET_IMPLEMENT_MACRO(shl_eq) +TVMET_IMPLEMENT_MACRO(shr_eq) +#undef TVMET_IMPLEMENT_MACRO + + +/* + * aliased member functions (operators) with matrizes, + * for use with +=,-= ... <<= + */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class T1, std::size_t NRows, std::size_t NCols> \ +template <class T2> \ +inline \ +Matrix<T1, NRows, NCols>& \ +Matrix<T1, NRows, NCols>::alias_##NAME (const Matrix<T2, Rows, Cols>& rhs) { \ + this->alias_##NAME( XprMatrix<typename Matrix<T2, Rows, Cols>::ConstReference, Rows, Cols>(rhs.const_ref()) ); \ + return *this; \ +} + +TVMET_IMPLEMENT_MACRO(assign) +TVMET_IMPLEMENT_MACRO(add_eq) +TVMET_IMPLEMENT_MACRO(sub_eq) +TVMET_IMPLEMENT_MACRO(mul_eq) +TVMET_IMPLEMENT_MACRO(div_eq) +#undef TVMET_IMPLEMENT_MACRO + + +/* + * aliased member functions (operators) with expressions, + * for use width +=,-= ... <<= and aliased(), + */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class T, std::size_t NRows, std::size_t NCols> \ +template<class E> \ +inline \ +Matrix<T, NRows, NCols>& \ +Matrix<T, NRows, NCols>::alias_##NAME (const XprMatrix<E, Rows, Cols>& rhs) { \ + typedef Matrix<T, NRows, NCols> temp_type; \ + temp_type(rhs).assign_to(*this, Fcnl_##NAME<value_type, typename E::value_type>()); \ + return *this; \ +} + +TVMET_IMPLEMENT_MACRO(assign) +TVMET_IMPLEMENT_MACRO(add_eq) +TVMET_IMPLEMENT_MACRO(sub_eq) +TVMET_IMPLEMENT_MACRO(mul_eq) +TVMET_IMPLEMENT_MACRO(div_eq) +#undef TVMET_IMPLEMENT_MACRO + + +} // namespace tvmet + +#endif // TVMET_MATRIX_IMPL_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/MatrixOperators.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,1287 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * lesser General Public License for more details. + * + * You should have received a copy of the GNU lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: MatrixOperators.h,v 1.37 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_MATRIX_OPERATORS_H +#define TVMET_MATRIX_OPERATORS_H + +namespace tvmet { + + +/********************************************************* + * PART I: DECLARATION + *********************************************************/ + + +template<class T, std::size_t Rows, std::size_t Cols> +std::ostream& operator<<(std::ostream& os, + const Matrix<T, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Member operators (arithmetic and bit ops) + *++++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * update_operator(Matrix<T1, Rows, Cols>, Matrix<T2, Rows, Cols>) + * update_operator(Matrix<T1, Rows, Cols>, XprMatrix<E, Rows, Cols> rhs) + * Note: per se element wise + * \todo: the operator*= can have element wise mul oder product, decide! + */ +#define TVMET_DECLARE_MACRO(NAME, OP) \ +template<class T1, class T2, std::size_t Rows, std::size_t Cols> \ +Matrix<T1, Rows, Cols>& \ +operator OP (Matrix<T1, Rows, Cols>& lhs, \ + const Matrix<T2, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class T, class E, std::size_t Rows, std::size_t Cols> \ +Matrix<T, Rows, Cols>& \ +operator OP (Matrix<T, Rows, Cols>& lhs, \ + const XprMatrix<E, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(add_eq, +=) // per se element wise +TVMET_DECLARE_MACRO(sub_eq, -=) // per se element wise +namespace element_wise { + TVMET_DECLARE_MACRO(mul_eq, *=) // see note + TVMET_DECLARE_MACRO(div_eq, /=) // not defined for vectors +} + +// integer operators only, e.g used on double you wil get an error +namespace element_wise { + TVMET_DECLARE_MACRO(mod_eq, %=) + TVMET_DECLARE_MACRO(xor_eq, ^=) + TVMET_DECLARE_MACRO(and_eq, &=) + TVMET_DECLARE_MACRO(or_eq, |=) + TVMET_DECLARE_MACRO(shl_eq, <<=) + TVMET_DECLARE_MACRO(shr_eq, >>=) +} + +#undef TVMET_DECLARE_MACRO + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Matrix arithmetic operators implemented by functions + * add, sub, mul and div + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * operator(Matrix<T1, Rows, Cols>, Matrix<T2, Rows, Cols>) + * operator(XprMatrix<E, Rows, Cols>, Matrix<T, Rows, Cols>) + * operator(Matrix<T, Rows, Cols>, XprMatrix<E, Rows, Cols>) + * Note: per se element wise + */ +#define TVMET_DECLARE_MACRO(NAME, OP) \ +template<class T1, class T2, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<T1, T2>, \ + MatrixConstReference<T1, Rows, Cols>, \ + MatrixConstReference<T2, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (const Matrix<T1, Rows, Cols>& lhs, \ + const Matrix<T2, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class E, class T, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + XprMatrix<E, Rows, Cols>, \ + MatrixConstReference<T, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (const XprMatrix<E, Rows, Cols>& lhs, \ + const Matrix<T, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class T, class E, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + MatrixConstReference<T, Rows, Cols>, \ + XprMatrix<E, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (const Matrix<T, Rows, Cols>& lhs, \ + const XprMatrix<E, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(add, +) // per se element wise +TVMET_DECLARE_MACRO(sub, -) // per se element wise +namespace element_wise { + TVMET_DECLARE_MACRO(mul, *) // see as prod() + TVMET_DECLARE_MACRO(div, /) // not defined for matrizes +} +#undef TVMET_DECLARE_MACRO + + +/* + * operator(Matrix<T, Rows, Cols>, POD) + * operator(POD, Matrix<T, Rows, Cols>) + * Note: operations +,-,*,/ are per se element wise + */ +#define TVMET_DECLARE_MACRO(NAME, OP, POD) \ +template<class T, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<T, POD >, \ + MatrixConstReference<T, Rows, Cols>, \ + XprLiteral<POD > \ + >, \ + Rows, Cols \ +> \ +operator OP (const Matrix<T, Rows, Cols>& lhs, \ + POD rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class T, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME< POD, T>, \ + XprLiteral< POD >, \ + MatrixConstReference<T, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (POD lhs, \ + const Matrix<T, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(add, +, int) +TVMET_DECLARE_MACRO(sub, -, int) +TVMET_DECLARE_MACRO(mul, *, int) +TVMET_DECLARE_MACRO(div, /, int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_DECLARE_MACRO(add, +, long long int) +TVMET_DECLARE_MACRO(sub, -, long long int) +TVMET_DECLARE_MACRO(mul, *, long long int) +TVMET_DECLARE_MACRO(div, /, long long int) +#endif // defined(TVMET_HAVE_LONG_LONG) + +TVMET_DECLARE_MACRO(add, +, float) +TVMET_DECLARE_MACRO(sub, -, float) +TVMET_DECLARE_MACRO(mul, *, float) +TVMET_DECLARE_MACRO(div, /, float) + +TVMET_DECLARE_MACRO(add, +, double) +TVMET_DECLARE_MACRO(sub, -, double) +TVMET_DECLARE_MACRO(mul, *, double) +TVMET_DECLARE_MACRO(div, /, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_DECLARE_MACRO(add, +, long double) +TVMET_DECLARE_MACRO(sub, -, long double) +TVMET_DECLARE_MACRO(mul, *, long double) +TVMET_DECLARE_MACRO(div, /, long double) +#endif // defined(TVMET_HAVE_LONG_DOUBLE) + +#undef TVMET_DECLARE_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * operator(Matrix<T, Rows, Cols>, complex<T>) + * operator(complex<T>, Matrix<T, Rows, Cols>) + * Note: operations +,-,*,/ are per se element wise + * \todo type promotion + */ +#define TVMET_DECLARE_MACRO(NAME, OP) \ +template<class T, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + MatrixConstReference< std::complex<T>, Rows, Cols>, \ + XprLiteral<std::complex<T> > \ + >, \ + Rows, Cols \ +> \ +operator OP (const Matrix< std::complex<T>, Rows, Cols>& lhs, \ + const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class T, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + XprLiteral< std::complex<T> >, \ + MatrixConstReference< std::complex<T>, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (const std::complex<T>& lhs, \ + const Matrix< std::complex<T>, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(add, +) +TVMET_DECLARE_MACRO(sub, -) +TVMET_DECLARE_MACRO(mul, *) +TVMET_DECLARE_MACRO(div, /) + +#undef TVMET_DECLARE_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * matrix specific operator*() = prod() operations + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +template<class T1, std::size_t Rows1, std::size_t Cols1, + class T2, std::size_t Cols2> +XprMatrix< + XprMMProduct< + MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, + MatrixConstReference<T2, Cols1, Cols2>, Cols2 + >, + Rows1, Cols2 +> +operator*(const Matrix<T1, Rows1, Cols1>& lhs, + const Matrix<T2, Cols1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class E1, std::size_t Rows1, std::size_t Cols1, + class T2, std::size_t Cols2> +XprMatrix< + XprMMProduct< + XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, + MatrixConstReference<T2, Cols1, Cols2>, Cols2 + >, + Rows1, Cols2 +> +operator*(const XprMatrix<E1, Rows1, Cols1>& lhs, + const Matrix<T2, Cols1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class T1, std::size_t Rows1, std::size_t Cols1, + class E2, std::size_t Cols2> +XprMatrix< + XprMMProduct< + MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, + XprMatrix<E2, Cols1, Cols2>, Cols2 + >, + Rows1, Cols2 +> +operator*(const Matrix<T1, Rows1, Cols1>& lhs, + const XprMatrix<E2, Cols1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * matrix-vector specific prod( ... ) operators + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +template<class T1, std::size_t Rows, std::size_t Cols, class T2> +XprVector< + XprMVProduct< + MatrixConstReference<T1, Rows, Cols>, Rows, Cols, + VectorConstReference<T2, Cols> + >, + Rows +> +operator*(const Matrix<T1, Rows, Cols>& lhs, + const Vector<T2, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class T1, class E2, std::size_t Rows, std::size_t Cols> +XprVector< + XprMVProduct< + MatrixConstReference<T1, Rows, Cols>, Rows, Cols, + XprVector<E2, Cols> + >, + Rows +> +operator*(const Matrix<T1, Rows, Cols>& lhs, + const XprVector<E2, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class E1, class T2, std::size_t Rows, std::size_t Cols> +XprVector< + XprMVProduct< + XprMatrix<E1, Rows, Cols>, Rows, Cols, + VectorConstReference<T2, Cols> + >, + Rows +> +operator*(const XprMatrix<E1, Rows, Cols>& lhs, + const Vector<T2, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Matrix integer and compare operators + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * operator(Matrix<T1, Rows, Cols>, Matrix<T2, Rows, Cols>) + * operator(XprMatrix<E>, Matrix<T, Rows, Cols>) + * operator(Matrix<T, Rows, Cols>, XprMatrix<E>) + * Note: operations are per se element wise + */ +#define TVMET_DECLARE_MACRO(NAME, OP) \ +template<class T1, std::size_t Rows, std::size_t Cols, \ + class T2> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<T1, T2>, \ + MatrixConstReference<T1, Rows, Cols>, \ + MatrixConstReference<T2, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (const Matrix<T1, Rows, Cols>& lhs, \ + const Matrix<T2, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class E, \ + class T, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + XprMatrix<E, Rows, Cols>, \ + MatrixConstReference<T, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (const XprMatrix<E, Rows, Cols>& lhs, \ + const Matrix<T, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class T, std::size_t Rows, std::size_t Cols, \ + class E> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + MatrixConstReference<T, Rows, Cols>, \ + XprMatrix<E, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (const Matrix<T, Rows, Cols>& lhs, \ + const XprMatrix<E, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + +// integer operators only, e.g used on double you wil get an error +namespace element_wise { + TVMET_DECLARE_MACRO(mod, %) + TVMET_DECLARE_MACRO(bitxor, ^) + TVMET_DECLARE_MACRO(bitand, &) + TVMET_DECLARE_MACRO(bitor, |) + TVMET_DECLARE_MACRO(shl, <<) + TVMET_DECLARE_MACRO(shr, >>) +} + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >) +TVMET_DECLARE_MACRO(less, <) +TVMET_DECLARE_MACRO(greater_eq, >=) +TVMET_DECLARE_MACRO(less_eq, <=) +TVMET_DECLARE_MACRO(eq, ==) +TVMET_DECLARE_MACRO(not_eq, !=) +TVMET_DECLARE_MACRO(and, &&) +TVMET_DECLARE_MACRO(or, ||) + +#undef TVMET_DECLARE_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * operator(Matrix<T, Rows, Cols>, complex<T>) + * operator(complex<T>, Matrix<T, Rows, Cols>) + * Note: - per se element wise + * - bit ops on complex<int> doesn't make sense, stay away + * \todo type promotion + */ +#define TVMET_DECLARE_MACRO(NAME, OP) \ +template<class T, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + MatrixConstReference< std::complex<T>, Rows, Cols>, \ + XprLiteral<std::complex<T> > \ + >, \ + Rows, Cols \ +> \ +operator OP (const Matrix< std::complex<T>, Rows, Cols>& lhs, \ + const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class T, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + XprLiteral< std::complex<T> >, \ + MatrixConstReference< std::complex<T>, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (const std::complex<T>& lhs, \ + const Matrix< std::complex<T>, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >) +TVMET_DECLARE_MACRO(less, <) +TVMET_DECLARE_MACRO(greater_eq, >=) +TVMET_DECLARE_MACRO(less_eq, <=) +TVMET_DECLARE_MACRO(eq, ==) +TVMET_DECLARE_MACRO(not_eq, !=) +TVMET_DECLARE_MACRO(and, &&) +TVMET_DECLARE_MACRO(or, ||) + +#undef TVMET_DECLARE_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/* + * operator(Matrix<T, Rows, Cols>, POD) + * operator(POD, Matrix<T, Rows, Cols>) + * Note: operations are per se element wise + */ +#define TVMET_DECLARE_MACRO(NAME, OP, TP) \ +template<class T, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<T, TP >, \ + MatrixConstReference<T, Rows, Cols>, \ + XprLiteral<TP > \ + >, \ + Rows, Cols \ +> \ +operator OP (const Matrix<T, Rows, Cols>& lhs, TP rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class T, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME< TP, T>, \ + XprLiteral< TP >, \ + MatrixConstReference<T, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (TP lhs, const Matrix<T, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + +// integer operators only, e.g used on double you wil get an error +namespace element_wise { + TVMET_DECLARE_MACRO(mod, %, int) + TVMET_DECLARE_MACRO(bitxor, ^, int) + TVMET_DECLARE_MACRO(bitand, &, int) + TVMET_DECLARE_MACRO(bitor, |, int) + TVMET_DECLARE_MACRO(shl, <<, int) + TVMET_DECLARE_MACRO(shr, >>, int) +} + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >, int) +TVMET_DECLARE_MACRO(less, <, int) +TVMET_DECLARE_MACRO(greater_eq, >=, int) +TVMET_DECLARE_MACRO(less_eq, <=, int) +TVMET_DECLARE_MACRO(eq, ==, int) +TVMET_DECLARE_MACRO(not_eq, !=, int) +TVMET_DECLARE_MACRO(and, &&, int) +TVMET_DECLARE_MACRO(or, ||, int) + +#if defined(TVMET_HAVE_LONG_LONG) +// integer operators only +namespace element_wise { + TVMET_DECLARE_MACRO(mod, %, long long int) + TVMET_DECLARE_MACRO(bitxor, ^, long long int) + TVMET_DECLARE_MACRO(bitand, &, long long int) + TVMET_DECLARE_MACRO(bitor, |, long long int) + TVMET_DECLARE_MACRO(shl, <<, long long int) + TVMET_DECLARE_MACRO(shr, >>, long long int) +} + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >, long long int) +TVMET_DECLARE_MACRO(less, <, long long int) +TVMET_DECLARE_MACRO(greater_eq, >=, long long int) +TVMET_DECLARE_MACRO(less_eq, <=, long long int) +TVMET_DECLARE_MACRO(eq, ==, long long int) +TVMET_DECLARE_MACRO(not_eq, !=, long long int) +TVMET_DECLARE_MACRO(and, &&, long long int) +TVMET_DECLARE_MACRO(or, ||, long long int) +#endif // defined(TVMET_HAVE_LONG_LONG) + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >, float) +TVMET_DECLARE_MACRO(less, <, float) +TVMET_DECLARE_MACRO(greater_eq, >=, float) +TVMET_DECLARE_MACRO(less_eq, <=, float) +TVMET_DECLARE_MACRO(eq, ==, float) +TVMET_DECLARE_MACRO(not_eq, !=, float) +TVMET_DECLARE_MACRO(and, &&, float) +TVMET_DECLARE_MACRO(or, ||, float) + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >, double) +TVMET_DECLARE_MACRO(less, <, double) +TVMET_DECLARE_MACRO(greater_eq, >=, double) +TVMET_DECLARE_MACRO(less_eq, <=, double) +TVMET_DECLARE_MACRO(eq, ==, double) +TVMET_DECLARE_MACRO(not_eq, !=, double) +TVMET_DECLARE_MACRO(and, &&, double) +TVMET_DECLARE_MACRO(or, ||, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >, long double) +TVMET_DECLARE_MACRO(less, <, long double) +TVMET_DECLARE_MACRO(greater_eq, >=, long double) +TVMET_DECLARE_MACRO(less_eq, <=, long double) +TVMET_DECLARE_MACRO(eq, ==, long double) +TVMET_DECLARE_MACRO(not_eq, !=, long double) +TVMET_DECLARE_MACRO(and, &&, long double) +TVMET_DECLARE_MACRO(or, ||, long double) +#endif // defined(TVMET_HAVE_LONG_DOUBLE) + +#undef TVMET_DECLARE_MACRO + + + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * global unary operators + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * unary_operator(Matrix<T, Rows, Cols>) + * Note: per se element wise + */ +#define TVMET_DECLARE_MACRO(NAME, OP) \ +template <class T, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprUnOp< \ + Fcnl_##NAME<T>, \ + MatrixConstReference<T, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (const Matrix<T, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(not, !) +TVMET_DECLARE_MACRO(compl, ~) +TVMET_DECLARE_MACRO(neg, -) +#undef TVMET_DECLARE_MACRO + + +/********************************************************* + * PART II: IMPLEMENTATION + *********************************************************/ + + +/** + * \fn operator<<(std::ostream& os, const Matrix<T, Rows, Cols>& rhs) + * \brief Overload operator for i/o + * \ingroup _binary_operator + */ +template<class T, std::size_t Rows, std::size_t Cols> +inline +std::ostream& operator<<(std::ostream& os, const Matrix<T, Rows, Cols>& rhs) { + return rhs.print_on(os); +} + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Member operators (arithmetic and bit ops) + *++++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * update_operator(Matrix<T1, Rows, Cols>, Matrix<T2, Rows, Cols>) + * update_operator(Matrix<T1, Rows, Cols>, XprMatrix<E, Rows, Cols> rhs) + * Note: per se element wise + * \todo: the operator*= can have element wise mul oder product, decide! + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template<class T1, class T2, std::size_t Rows, std::size_t Cols> \ +inline \ +Matrix<T1, Rows, Cols>& \ +operator OP (Matrix<T1, Rows, Cols>& lhs, const Matrix<T2, Rows, Cols>& rhs) { \ + return lhs.M_##NAME(rhs); \ +} \ + \ +template<class T, class E, std::size_t Rows, std::size_t Cols> \ +inline \ +Matrix<T, Rows, Cols>& \ +operator OP (Matrix<T, Rows, Cols>& lhs, const XprMatrix<E, Rows, Cols>& rhs) { \ + return lhs.M_##NAME(rhs); \ +} + +TVMET_IMPLEMENT_MACRO(add_eq, +=) // per se element wise +TVMET_IMPLEMENT_MACRO(sub_eq, -=) // per se element wise +namespace element_wise { + TVMET_IMPLEMENT_MACRO(mul_eq, *=) // see note + TVMET_IMPLEMENT_MACRO(div_eq, /=) // not defined for vectors +} + +// integer operators only, e.g used on double you wil get an error +namespace element_wise { + TVMET_IMPLEMENT_MACRO(mod_eq, %=) + TVMET_IMPLEMENT_MACRO(xor_eq, ^=) + TVMET_IMPLEMENT_MACRO(and_eq, &=) + TVMET_IMPLEMENT_MACRO(or_eq, |=) + TVMET_IMPLEMENT_MACRO(shl_eq, <<=) + TVMET_IMPLEMENT_MACRO(shr_eq, >>=) +} + +#undef TVMET_IMPLEMENT_MACRO + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Matrix arithmetic operators implemented by functions + * add, sub, mul and div + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * operator(Matrix<T1, Rows, Cols>, Matrix<T2, Rows, Cols>) + * operator(XprMatrix<E, Rows, Cols>, Matrix<T, Rows, Cols>) + * operator(Matrix<T, Rows, Cols>, XprMatrix<E, Rows, Cols>) + * Note: per se element wise + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template<class T1, class T2, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<T1, T2>, \ + MatrixConstReference<T1, Rows, Cols>, \ + MatrixConstReference<T2, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (const Matrix<T1, Rows, Cols>& lhs, const Matrix<T2, Rows, Cols>& rhs) { \ + return NAME(lhs, rhs); \ +} \ + \ +template<class E, class T, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + XprMatrix<E, Rows, Cols>, \ + MatrixConstReference<T, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (const XprMatrix<E, Rows, Cols>& lhs, const Matrix<T, Rows, Cols>& rhs) { \ + return NAME(lhs, rhs); \ +} \ + \ +template<class T, class E, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + MatrixConstReference<T, Rows, Cols>, \ + XprMatrix<E, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (const Matrix<T, Rows, Cols>& lhs, const XprMatrix<E, Rows, Cols>& rhs) { \ + return NAME(lhs, rhs); \ +} + +TVMET_IMPLEMENT_MACRO(add, +) // per se element wise +TVMET_IMPLEMENT_MACRO(sub, -) // per se element wise +namespace element_wise { + TVMET_IMPLEMENT_MACRO(mul, *) // see as prod() + TVMET_IMPLEMENT_MACRO(div, /) // not defined for matrizes +} +#undef TVMET_IMPLEMENT_MACRO + + +/* + * operator(Matrix<T, Rows, Cols>, POD) + * operator(POD, Matrix<T, Rows, Cols>) + * Note: operations +,-,*,/ are per se element wise + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP, POD) \ +template<class T, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<T, POD >, \ + MatrixConstReference<T, Rows, Cols>, \ + XprLiteral<POD > \ + >, \ + Rows, Cols \ +> \ +operator OP (const Matrix<T, Rows, Cols>& lhs, POD rhs) { \ + return NAME (lhs, rhs); \ +} \ + \ +template<class T, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME< POD, T>, \ + XprLiteral< POD >, \ + MatrixConstReference<T, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (POD lhs, const Matrix<T, Rows, Cols>& rhs) { \ + return NAME (lhs, rhs); \ +} + +TVMET_IMPLEMENT_MACRO(add, +, int) +TVMET_IMPLEMENT_MACRO(sub, -, int) +TVMET_IMPLEMENT_MACRO(mul, *, int) +TVMET_IMPLEMENT_MACRO(div, /, int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_IMPLEMENT_MACRO(add, +, long long int) +TVMET_IMPLEMENT_MACRO(sub, -, long long int) +TVMET_IMPLEMENT_MACRO(mul, *, long long int) +TVMET_IMPLEMENT_MACRO(div, /, long long int) +#endif // defined(TVMET_HAVE_LONG_LONG) + +TVMET_IMPLEMENT_MACRO(add, +, float) +TVMET_IMPLEMENT_MACRO(sub, -, float) +TVMET_IMPLEMENT_MACRO(mul, *, float) +TVMET_IMPLEMENT_MACRO(div, /, float) + +TVMET_IMPLEMENT_MACRO(add, +, double) +TVMET_IMPLEMENT_MACRO(sub, -, double) +TVMET_IMPLEMENT_MACRO(mul, *, double) +TVMET_IMPLEMENT_MACRO(div, /, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_IMPLEMENT_MACRO(add, +, long double) +TVMET_IMPLEMENT_MACRO(sub, -, long double) +TVMET_IMPLEMENT_MACRO(mul, *, long double) +TVMET_IMPLEMENT_MACRO(div, /, long double) +#endif // defined(TVMET_HAVE_LONG_DOUBLE) + +#undef TVMET_IMPLEMENT_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * operator(Matrix<T, Rows, Cols>, complex<T>) + * operator(complex<T>, Matrix<T, Rows, Cols>) + * Note: operations +,-,*,/ are per se element wise + * \todo type promotion + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template<class T, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + MatrixConstReference< std::complex<T>, Rows, Cols>, \ + XprLiteral<std::complex<T> > \ + >, \ + Rows, Cols \ +> \ +operator OP (const Matrix< std::complex<T>, Rows, Cols>& lhs, \ + const std::complex<T>& rhs) { \ + return NAME (lhs, rhs); \ +} \ + \ +template<class T, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + XprLiteral< std::complex<T> >, \ + MatrixConstReference< std::complex<T>, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (const std::complex<T>& lhs, \ + const Matrix< std::complex<T>, Rows, Cols>& rhs) { \ + return NAME (lhs, rhs); \ +} + +TVMET_IMPLEMENT_MACRO(add, +) +TVMET_IMPLEMENT_MACRO(sub, -) +TVMET_IMPLEMENT_MACRO(mul, *) +TVMET_IMPLEMENT_MACRO(div, /) + +#undef TVMET_IMPLEMENT_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * matrix specific operator*() = prod() operations + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/** + * \fn operator*(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs) + * \brief multiply two Matrices. + * \ingroup _binary_operator + * \note The rows2 has to be equal to cols1. + * \sa prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs) + */ +template<class T1, std::size_t Rows1, std::size_t Cols1, + class T2, std::size_t Cols2> +inline +XprMatrix< + XprMMProduct< + MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, + MatrixConstReference<T2, Cols1, Cols2>, Cols2 + >, + Rows1, Cols2 +> +operator*(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs) { + return prod(lhs, rhs); +} + + +/** + * \fn operator*(const XprMatrix<E1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs) + * \brief Evaluate the product of XprMatrix and Matrix. + * \ingroup _binary_operator + * \sa prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs) + */ +template<class E1, std::size_t Rows1, std::size_t Cols1, + class T2, std::size_t Cols2> +inline +XprMatrix< + XprMMProduct< + XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, + MatrixConstReference<T2, Cols1, Cols2>, Cols2 + >, + Rows1, Cols2 +> +operator*(const XprMatrix<E1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs) { + return prod(lhs, rhs); +} + + +/** + * \fn operator*(const Matrix<T1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1, Cols2>& rhs) + * \brief Evaluate the product of Matrix and XprMatrix. + * \ingroup _binary_operator + * \sa prod(const Matrix<T, Rows1, Cols1>& lhs, const XprMatrix<E, Cols1, Cols2>& rhs) + */ +template<class T1, std::size_t Rows1, std::size_t Cols1, + class E2, std::size_t Cols2> +inline +XprMatrix< + XprMMProduct< + MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, + XprMatrix<E2, Cols1, Cols2>, Cols2 + >, + Rows1, Cols2 +> +operator*(const Matrix<T1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1, Cols2>& rhs) { + return prod(lhs, rhs); +} + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * matrix-vector specific prod( ... ) operators + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/** + * \fn operator*(const Matrix<T1, Rows, Cols>& lhs, const Vector<T2, Cols>& rhs) + * \brief multiply a Matrix with a Vector. + * \ingroup _binary_operator + * \note The length of the Vector has to be equal to the number of Columns. + * \sa prod(const Matrix<T1, Rows, Cols>& m, const Vector<T2, Cols>& v) + */ +template<class T1, std::size_t Rows, std::size_t Cols, class T2> +inline +XprVector< + XprMVProduct< + MatrixConstReference<T1, Rows, Cols>, Rows, Cols, + VectorConstReference<T2, Cols> + >, + Rows +> +operator*(const Matrix<T1, Rows, Cols>& lhs, const Vector<T2, Cols>& rhs) { + return prod(lhs, rhs); +} + + +/** + * \fn operator*(const Matrix<T1, Rows, Cols>& lhs, const XprVector<E2, Cols>& rhs) + * \brief Function for the matrix-vector-product + * \ingroup _binary_operator + * \sa prod(const Matrix<T, Rows, Cols>& lhs, const XprVector<E, Cols>& rhs) + */ +template<class T1, class E2, std::size_t Rows, std::size_t Cols> +inline +XprVector< + XprMVProduct< + MatrixConstReference<T1, Rows, Cols>, Rows, Cols, + XprVector<E2, Cols> + >, + Rows +> +operator*(const Matrix<T1, Rows, Cols>& lhs, const XprVector<E2, Cols>& rhs) { + return prod(lhs, rhs); +} + + +/** + * \fn operator*(const XprMatrix<E1, Rows, Cols>& lhs, const Vector<T2, Cols>& rhs) + * \brief Compute the product of an XprMatrix with a Vector. + * \ingroup _binary_operator + * \sa prod(const XprMatrix<E, Rows, Cols>& lhs, const Vector<T, Cols>& rhs) + */ +template<class E1, class T2, std::size_t Rows, std::size_t Cols> +inline +XprVector< + XprMVProduct< + XprMatrix<E1, Rows, Cols>, Rows, Cols, + VectorConstReference<T2, Cols> + >, + Rows +> +operator*(const XprMatrix<E1, Rows, Cols>& lhs, const Vector<T2, Cols>& rhs) { + return prod(lhs, rhs); +} + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Matrix integer and compare operators + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * operator(Matrix<T1, Rows, Cols>, Matrix<T2, Rows, Cols>) + * operator(XprMatrix<E>, Matrix<T, Rows, Cols>) + * operator(Matrix<T, Rows, Cols>, XprMatrix<E>) + * Note: operations are per se element wise + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template<class T1, std::size_t Rows, std::size_t Cols, \ + class T2> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<T1, T2>, \ + MatrixConstReference<T1, Rows, Cols>, \ + MatrixConstReference<T2, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (const Matrix<T1, Rows, Cols>& lhs, \ + const Matrix<T2, Rows, Cols>& rhs) { \ + typedef XprBinOp < \ + Fcnl_##NAME<T1, T2>, \ + MatrixConstReference<T1, Rows, Cols>, \ + MatrixConstReference<T2, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>(expr_type(lhs.const_ref(), rhs.const_ref())); \ +} \ + \ +template<class E, \ + class T, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + XprMatrix<E, Rows, Cols>, \ + MatrixConstReference<T, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (const XprMatrix<E, Rows, Cols>& lhs, const Matrix<T, Rows, Cols>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + XprMatrix<E, Rows, Cols>, \ + MatrixConstReference<T, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>(expr_type(lhs, rhs.const_ref())); \ +} \ + \ +template<class T, std::size_t Rows, std::size_t Cols, \ + class E> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + MatrixConstReference<T, Rows, Cols>, \ + XprMatrix<E, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (const Matrix<T, Rows, Cols>& lhs, const XprMatrix<E, Rows, Cols>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<T, typename E::value_type>, \ + MatrixConstReference<T, Rows, Cols>, \ + XprMatrix<E, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>(expr_type(lhs.const_ref(), rhs)); \ +} + +// integer operators only, e.g used on double you wil get an error +namespace element_wise { + TVMET_IMPLEMENT_MACRO(mod, %) + TVMET_IMPLEMENT_MACRO(bitxor, ^) + TVMET_IMPLEMENT_MACRO(bitand, &) + TVMET_IMPLEMENT_MACRO(bitor, |) + TVMET_IMPLEMENT_MACRO(shl, <<) + TVMET_IMPLEMENT_MACRO(shr, >>) +} + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >) +TVMET_IMPLEMENT_MACRO(less, <) +TVMET_IMPLEMENT_MACRO(greater_eq, >=) +TVMET_IMPLEMENT_MACRO(less_eq, <=) +TVMET_IMPLEMENT_MACRO(eq, ==) +TVMET_IMPLEMENT_MACRO(not_eq, !=) +TVMET_IMPLEMENT_MACRO(and, &&) +TVMET_IMPLEMENT_MACRO(or, ||) + +#undef TVMET_IMPLEMENT_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * operator(Matrix<T, Rows, Cols>, complex<T>) + * operator(complex<T>, Matrix<T, Rows, Cols>) + * Note: - per se element wise + * - bit ops on complex<int> doesn't make sense, stay away + * \todo type promotion + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template<class T, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + MatrixConstReference< std::complex<T>, Rows, Cols>, \ + XprLiteral<std::complex<T> > \ + >, \ + Rows, Cols \ +> \ +operator OP (const Matrix< std::complex<T>, Rows, Cols>& lhs, \ + const std::complex<T>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + MatrixConstReference< std::complex<T>, Rows, Cols>, \ + XprLiteral< std::complex<T> > \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(lhs.const_ref(), XprLiteral< std::complex<T> >(rhs))); \ +} \ + \ +template<class T, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + XprLiteral< std::complex<T> >, \ + MatrixConstReference< std::complex<T>, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (const std::complex<T>& lhs, \ + const Matrix< std::complex<T>, Rows, Cols>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + XprLiteral< std::complex<T> >, \ + MatrixConstReference<T, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(XprLiteral< std::complex<T> >(lhs), rhs.const_ref())); \ +} + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >) +TVMET_IMPLEMENT_MACRO(less, <) +TVMET_IMPLEMENT_MACRO(greater_eq, >=) +TVMET_IMPLEMENT_MACRO(less_eq, <=) +TVMET_IMPLEMENT_MACRO(eq, ==) +TVMET_IMPLEMENT_MACRO(not_eq, !=) +TVMET_IMPLEMENT_MACRO(and, &&) +TVMET_IMPLEMENT_MACRO(or, ||) + +#undef TVMET_IMPLEMENT_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/* + * operator(Matrix<T, Rows, Cols>, POD) + * operator(POD, Matrix<T, Rows, Cols>) + * Note: operations are per se element wise + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP, TP) \ +template<class T, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<T, TP >, \ + MatrixConstReference<T, Rows, Cols>, \ + XprLiteral<TP > \ + >, \ + Rows, Cols \ +> \ +operator OP (const Matrix<T, Rows, Cols>& lhs, TP rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<T, TP >, \ + MatrixConstReference<T, Rows, Cols>, \ + XprLiteral< TP > \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(lhs.const_ref(), XprLiteral< TP >(rhs))); \ +} \ + \ +template<class T, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME< TP, T>, \ + XprLiteral< TP >, \ + MatrixConstReference<T, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (TP lhs, const Matrix<T, Rows, Cols>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME< TP, T>, \ + XprLiteral< TP >, \ + MatrixConstReference<T, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(XprLiteral< TP >(lhs), rhs.const_ref())); \ +} + +// integer operators only, e.g used on double you wil get an error +namespace element_wise { + TVMET_IMPLEMENT_MACRO(mod, %, int) + TVMET_IMPLEMENT_MACRO(bitxor, ^, int) + TVMET_IMPLEMENT_MACRO(bitand, &, int) + TVMET_IMPLEMENT_MACRO(bitor, |, int) + TVMET_IMPLEMENT_MACRO(shl, <<, int) + TVMET_IMPLEMENT_MACRO(shr, >>, int) +} + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >, int) +TVMET_IMPLEMENT_MACRO(less, <, int) +TVMET_IMPLEMENT_MACRO(greater_eq, >=, int) +TVMET_IMPLEMENT_MACRO(less_eq, <=, int) +TVMET_IMPLEMENT_MACRO(eq, ==, int) +TVMET_IMPLEMENT_MACRO(not_eq, !=, int) +TVMET_IMPLEMENT_MACRO(and, &&, int) +TVMET_IMPLEMENT_MACRO(or, ||, int) + +#if defined(TVMET_HAVE_LONG_LONG) +// integer operators only +namespace element_wise { + TVMET_IMPLEMENT_MACRO(mod, %, long long int) + TVMET_IMPLEMENT_MACRO(bitxor, ^, long long int) + TVMET_IMPLEMENT_MACRO(bitand, &, long long int) + TVMET_IMPLEMENT_MACRO(bitor, |, long long int) + TVMET_IMPLEMENT_MACRO(shl, <<, long long int) + TVMET_IMPLEMENT_MACRO(shr, >>, long long int) +} + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >, long long int) +TVMET_IMPLEMENT_MACRO(less, <, long long int) +TVMET_IMPLEMENT_MACRO(greater_eq, >=, long long int) +TVMET_IMPLEMENT_MACRO(less_eq, <=, long long int) +TVMET_IMPLEMENT_MACRO(eq, ==, long long int) +TVMET_IMPLEMENT_MACRO(not_eq, !=, long long int) +TVMET_IMPLEMENT_MACRO(and, &&, long long int) +TVMET_IMPLEMENT_MACRO(or, ||, long long int) +#endif // defined(TVMET_HAVE_LONG_LONG) + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >, float) +TVMET_IMPLEMENT_MACRO(less, <, float) +TVMET_IMPLEMENT_MACRO(greater_eq, >=, float) +TVMET_IMPLEMENT_MACRO(less_eq, <=, float) +TVMET_IMPLEMENT_MACRO(eq, ==, float) +TVMET_IMPLEMENT_MACRO(not_eq, !=, float) +TVMET_IMPLEMENT_MACRO(and, &&, float) +TVMET_IMPLEMENT_MACRO(or, ||, float) + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >, double) +TVMET_IMPLEMENT_MACRO(less, <, double) +TVMET_IMPLEMENT_MACRO(greater_eq, >=, double) +TVMET_IMPLEMENT_MACRO(less_eq, <=, double) +TVMET_IMPLEMENT_MACRO(eq, ==, double) +TVMET_IMPLEMENT_MACRO(not_eq, !=, double) +TVMET_IMPLEMENT_MACRO(and, &&, double) +TVMET_IMPLEMENT_MACRO(or, ||, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >, long double) +TVMET_IMPLEMENT_MACRO(less, <, long double) +TVMET_IMPLEMENT_MACRO(greater_eq, >=, long double) +TVMET_IMPLEMENT_MACRO(less_eq, <=, long double) +TVMET_IMPLEMENT_MACRO(eq, ==, long double) +TVMET_IMPLEMENT_MACRO(not_eq, !=, long double) +TVMET_IMPLEMENT_MACRO(and, &&, long double) +TVMET_IMPLEMENT_MACRO(or, ||, long double) +#endif // defined(TVMET_HAVE_LONG_DOUBLE) + +#undef TVMET_IMPLEMENT_MACRO + + + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * global unary operators + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * unary_operator(Matrix<T, Rows, Cols>) + * Note: per se element wise + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template <class T, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprUnOp< \ + Fcnl_##NAME<T>, \ + MatrixConstReference<T, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (const Matrix<T, Rows, Cols>& rhs) { \ + typedef XprUnOp< \ + Fcnl_##NAME<T>, \ + MatrixConstReference<T, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>(expr_type(rhs.const_ref())); \ +} + +TVMET_IMPLEMENT_MACRO(not, !) +TVMET_IMPLEMENT_MACRO(compl, ~) +TVMET_IMPLEMENT_MACRO(neg, -) +#undef TVMET_IMPLEMENT_MACRO + + +} // namespace tvmet + +#endif // TVMET_MATRIX_OPERATORS_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/MatrixUnaryFunctions.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,222 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * lesser General Public License for more details. + * + * You should have received a copy of the GNU lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: MatrixUnaryFunctions.h,v 1.13 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_MATRIX_UNARY_FUNCTIONS_H +#define TVMET_MATRIX_UNARY_FUNCTIONS_H + +namespace tvmet { + + +/********************************************************* + * PART I: DECLARATION + *********************************************************/ + +/* + * unary_function(Matrix<T, Rows, Cols>) + */ +#define TVMET_DECLARE_MACRO(NAME) \ +template<class T, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprUnOp< \ + Fcnl_##NAME<T>, \ + MatrixConstReference<T, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME(const Matrix<T, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(abs) +TVMET_DECLARE_MACRO(cbrt) +TVMET_DECLARE_MACRO(ceil) +TVMET_DECLARE_MACRO(floor) +TVMET_DECLARE_MACRO(rint) +TVMET_DECLARE_MACRO(sin) +TVMET_DECLARE_MACRO(cos) +TVMET_DECLARE_MACRO(tan) +TVMET_DECLARE_MACRO(sinh) +TVMET_DECLARE_MACRO(cosh) +TVMET_DECLARE_MACRO(tanh) +TVMET_DECLARE_MACRO(asin) +TVMET_DECLARE_MACRO(acos) +TVMET_DECLARE_MACRO(atan) +TVMET_DECLARE_MACRO(exp) +TVMET_DECLARE_MACRO(log) +TVMET_DECLARE_MACRO(log10) +TVMET_DECLARE_MACRO(sqrt) + +#if defined(TVMET_HAVE_IEEE_MATH) +TVMET_DECLARE_MACRO(asinh) +TVMET_DECLARE_MACRO(acosh) +TVMET_DECLARE_MACRO(atanh) +TVMET_DECLARE_MACRO(expm1) +TVMET_DECLARE_MACRO(log1p) +TVMET_DECLARE_MACRO(erf) +TVMET_DECLARE_MACRO(erfc) +TVMET_DECLARE_MACRO(j0) +TVMET_DECLARE_MACRO(j1) +TVMET_DECLARE_MACRO(y0) +TVMET_DECLARE_MACRO(y1) +TVMET_DECLARE_MACRO(lgamma) +/** \todo isnan etc. - default return is only an int! */ + +TVMET_DECLARE_MACRO(finite) +#endif // defined(TVMET_HAVE_IEEE_MATH) + +#undef TVMET_DECLARE_MACRO + + +/* + * unary_function(Matrix<std::complex<T>, Rows, Cols>) + */ +#if defined(TVMET_HAVE_COMPLEX) +#define TVMET_DECLARE_MACRO(NAME) \ +template<class T, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprUnOp< \ + Fcnl_##NAME< std::complex<T> >, \ + MatrixConstReference<std::complex<T>, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME(const Matrix<std::complex<T>, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(real) +TVMET_DECLARE_MACRO(imag) +TVMET_DECLARE_MACRO(arg) +TVMET_DECLARE_MACRO(norm) +TVMET_DECLARE_MACRO(conj) + +#undef TVMET_DECLARE_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/********************************************************* + * PART II: IMPLEMENTATION + *********************************************************/ + + +/* + * unary_function(Matrix<T, Rows, Cols>) + */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class T, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprUnOp< \ + Fcnl_##NAME<T>, \ + MatrixConstReference<T, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME(const Matrix<T, Rows, Cols>& rhs) { \ + typedef XprUnOp< \ + Fcnl_##NAME<T>, \ + MatrixConstReference<T, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>(expr_type(rhs.const_ref())); \ +} + +TVMET_IMPLEMENT_MACRO(abs) +TVMET_IMPLEMENT_MACRO(cbrt) +TVMET_IMPLEMENT_MACRO(ceil) +TVMET_IMPLEMENT_MACRO(floor) +TVMET_IMPLEMENT_MACRO(rint) +TVMET_IMPLEMENT_MACRO(sin) +TVMET_IMPLEMENT_MACRO(cos) +TVMET_IMPLEMENT_MACRO(tan) +TVMET_IMPLEMENT_MACRO(sinh) +TVMET_IMPLEMENT_MACRO(cosh) +TVMET_IMPLEMENT_MACRO(tanh) +TVMET_IMPLEMENT_MACRO(asin) +TVMET_IMPLEMENT_MACRO(acos) +TVMET_IMPLEMENT_MACRO(atan) +TVMET_IMPLEMENT_MACRO(exp) +TVMET_IMPLEMENT_MACRO(log) +TVMET_IMPLEMENT_MACRO(log10) +TVMET_IMPLEMENT_MACRO(sqrt) + +#if defined(TVMET_HAVE_IEEE_MATH) +TVMET_IMPLEMENT_MACRO(asinh) +TVMET_IMPLEMENT_MACRO(acosh) +TVMET_IMPLEMENT_MACRO(atanh) +TVMET_IMPLEMENT_MACRO(expm1) +TVMET_IMPLEMENT_MACRO(log1p) +TVMET_IMPLEMENT_MACRO(erf) +TVMET_IMPLEMENT_MACRO(erfc) +TVMET_IMPLEMENT_MACRO(j0) +TVMET_IMPLEMENT_MACRO(j1) +TVMET_IMPLEMENT_MACRO(y0) +TVMET_IMPLEMENT_MACRO(y1) +TVMET_IMPLEMENT_MACRO(lgamma) +/** \todo isnan etc. - default return is only an int! */ + +TVMET_IMPLEMENT_MACRO(finite) +#endif // defined(TVMET_HAVE_IEEE_MATH) + +#undef TVMET_IMPLEMENT_MACRO + + +/* + * unary_function(Matrix<std::complex<T>, Rows, Cols>) + */ +#if defined(TVMET_HAVE_COMPLEX) +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class T, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprUnOp< \ + Fcnl_##NAME< std::complex<T> >, \ + MatrixConstReference<std::complex<T>, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME(const Matrix<std::complex<T>, Rows, Cols>& rhs) { \ + typedef XprUnOp< \ + Fcnl_##NAME< std::complex<T> >, \ + MatrixConstReference<std::complex<T>, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>(expr_type(rhs.const_ref())); \ +} + +TVMET_IMPLEMENT_MACRO(real) +TVMET_IMPLEMENT_MACRO(imag) +TVMET_IMPLEMENT_MACRO(arg) +TVMET_IMPLEMENT_MACRO(norm) +TVMET_IMPLEMENT_MACRO(conj) + +#undef TVMET_IMPLEMENT_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +} // namespace tvmet + +#endif // TVMET_MATRIX_UNARY_FUNCTIONS_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/NumericTraits.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,1363 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: NumericTraits.h,v 1.16 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_NUMERIC_TRAITS_H +#define TVMET_NUMERIC_TRAITS_H + +#if defined(TVMET_HAVE_COMPLEX) +# include <complex> +#endif +#include <cmath> +#include <limits> + +#include <tvmet/CompileTimeError.h> + + +namespace tvmet { + + +/** + * \class NumericTraits NumericTraits.h "tvmet/NumericTraits.h" + * \brief Traits for integral types for operations. + * + * For each type we have to specialize this traits. + * + * \note Keep in mind that the long types long long and long double doesn't + * have traits. This is due to the sum_type. We can't give a guarantee + * that there is a type of holding the sum. Therefore using this traits + * is only safe if you have long long resp. long double types by + * working on long ints and doubles. Otherwise you will get not expected + * result for some circumstances. Anyway, you can use big integer/float + * libraries and specialize the traits by your own. + * + * \todo The abs function of complex<non_float_type> can have an + * overrun due to numeric computation. Solve it (someone + * using value_type=long here?) + */ +template<class T> +struct NumericTraits { + typedef T base_type; + typedef T value_type; + typedef value_type sum_type; + typedef value_type diff_type; + typedef value_type float_type; + typedef value_type signed_type; + + typedef NumericTraits<value_type> traits_type; + typedef const value_type& argument_type; + + static inline + base_type real(argument_type x); + + static inline + base_type imag(argument_type x); + + static inline + value_type conj(argument_type x); + + static inline + base_type abs(argument_type x); + + static inline + value_type sqrt(argument_type x); + + static inline + base_type norm_1(argument_type x) { + return NumericTraits<base_type>::abs(traits_type::real(x)) + + NumericTraits<base_type>::abs(traits_type::imag(x)); + } + + static inline + base_type norm_2(argument_type x) { return traits_type::abs(x); } + + static inline + base_type norm_inf(argument_type x) { + return std::max(NumericTraits<base_type>::abs(traits_type::real(x)), + NumericTraits<base_type>::abs(traits_type::imag(x))); + } + + static inline + bool equals(argument_type lhs, argument_type rhs) { + static base_type sqrt_epsilon( + NumericTraits<base_type>::sqrt( + std::numeric_limits<base_type>::epsilon())); + + return traits_type::norm_inf(lhs - rhs) < sqrt_epsilon * + std::max(std::max(traits_type::norm_inf(lhs), + traits_type::norm_inf(rhs)), + std::numeric_limits<base_type>::min()); + } +}; + + +/* + * numeric traits for standard types + */ + + +/** + * \class NumericTraits<char> NumericTraits.h "tvmet/NumericTraits.h" + * \brief Traits specialized for char. + */ +template<> +struct NumericTraits<char> { + typedef char value_type; + typedef value_type base_type; + typedef long sum_type; + typedef int diff_type; + typedef float float_type; + typedef char signed_type; + + typedef NumericTraits<value_type> traits_type; + typedef value_type argument_type; + + static inline + base_type real(argument_type x) { return x; } + + static inline + base_type imag(argument_type) { return 0; } + + static inline + value_type conj(argument_type x) { return x; } + + static inline + base_type abs(argument_type x) { return std::abs(x); } + + static inline + value_type sqrt(argument_type x) { + return static_cast<value_type>(std::sqrt(static_cast<float_type>(x))); + } + + static inline + base_type norm_1(argument_type x) { return traits_type::abs(x); } + + static inline + base_type norm_2(argument_type x) { return traits_type::abs(x); } + + static inline + base_type norm_inf(argument_type x) { return traits_type::abs(x); } + + static inline + bool equals(argument_type lhs, argument_type rhs) { return lhs == rhs; } + + enum { is_complex = false }; + + /** Complexity on operations. */ + enum { + ops_plus = 1, /**< Complexity on plus/minus ops. */ + ops_muls = 1 /**< Complexity on multiplications. */ + }; +}; + + +/** + * \class NumericTraits<unsigned char> NumericTraits.h "tvmet/NumericTraits.h" + * \brief Traits specialized for unsigned char. + * + * \note Normally it doesn't make sense to call <tt>conj</tt> + * for an unsigned type! An unary minus operator + * applied to unsigned type will result unsigned. Therefore + * this function is missing here. + */ +template<> +struct NumericTraits<unsigned char> { + typedef unsigned char value_type; + typedef value_type base_type; + typedef unsigned long sum_type; + typedef int diff_type; + typedef float float_type; + typedef int signed_type; + + typedef NumericTraits<value_type> traits_type; + typedef value_type argument_type; + + static inline + base_type real(argument_type x) { return x; } + + static inline + base_type imag(argument_type) { return 0; } + + static inline + base_type abs(argument_type x) { return std::abs(x); } + + static inline + value_type sqrt(argument_type x) { + return static_cast<value_type>(std::sqrt(static_cast<float_type>(x))); + } + + static inline + base_type norm_1(argument_type x) { return traits_type::abs(x); } + + static inline + base_type norm_2(argument_type x) { return traits_type::abs(x); } + + static inline + base_type norm_inf(argument_type x) { return traits_type::abs(x); } + + static inline + bool equals(argument_type lhs, argument_type rhs) { return lhs == rhs; } + + enum { is_complex = false }; + + /** Complexity on operations. */ + enum { + ops_plus = 1, /**< Complexity on plus/minus ops. */ + ops_muls = 1 /**< Complexity on multiplications. */ + }; +}; + + +/** + * \class NumericTraits<short int> NumericTraits.h "tvmet/NumericTraits.h" + * \brief Traits specialized for short int. + */ +template<> +struct NumericTraits<short int> { + typedef short int value_type; + typedef value_type base_type; +#if defined(TVMET_HAVE_LONG_LONG) + typedef long long sum_type; +#else + typedef long sum_type; +#endif + typedef int diff_type; + typedef float float_type; + typedef short int signed_type; + + typedef NumericTraits<value_type> traits_type; + typedef value_type argument_type; + + static inline + base_type real(argument_type x) { return x; } + + static inline + base_type imag(argument_type) { return 0; } + + static inline + value_type conj(argument_type x) { return x; } + + static inline + base_type abs(argument_type x) { return std::abs(x); } + + static inline + value_type sqrt(argument_type x) { + return static_cast<value_type>(std::sqrt(static_cast<float_type>(x))); + } + + static inline + base_type norm_1(argument_type x) { return traits_type::abs(x); } + + static inline + base_type norm_2(argument_type x) { return traits_type::abs(x); } + + static inline + base_type norm_inf(argument_type x) { return traits_type::abs(x); } + + static inline + bool equals(argument_type lhs, argument_type rhs) { return lhs == rhs; } + + enum { is_complex = false }; + + /** Complexity on operations. */ + enum { + ops_plus = 1, /**< Complexity on plus/minus ops. */ + ops_muls = 1 /**< Complexity on multiplications. */ + }; +}; + + +/** + * \class NumericTraits<short unsigned int> NumericTraits.h "tvmet/NumericTraits.h" + * \brief Traits specialized for short unsigned int. + * + * \note Normally it doesn't make sense to call <tt>conj</tt> + * for an unsigned type! An unary minus operator + * applied to unsigned type will result unsigned. Therefore + * this function is missing here. + */ +template<> +struct NumericTraits<short unsigned int> { + typedef short unsigned int value_type; + typedef value_type base_type; +#if defined(TVMET_HAVE_LONG_LONG) + typedef unsigned long long sum_type; +#else + typedef unsigned long sum_type; +#endif + typedef int diff_type; + typedef float float_type; + typedef int signed_type; + + typedef NumericTraits<value_type> traits_type; + typedef value_type argument_type; + + static inline + base_type real(argument_type x) { return x; } + + static inline + base_type imag(argument_type) { return 0; } + + static inline + base_type abs(argument_type x) { return std::abs(x); } + + static inline + value_type sqrt(argument_type x) { + return static_cast<value_type>(std::sqrt(static_cast<float_type>(x))); + } + + static inline + base_type norm_1(argument_type x) { return traits_type::abs(x); } + + static inline + base_type norm_2(argument_type x) { return traits_type::abs(x); } + + static inline + base_type norm_inf(argument_type x) { return traits_type::abs(x); } + + static inline + bool equals(argument_type lhs, argument_type rhs) { return lhs == rhs; } + + enum { is_complex = false }; + + /** Complexity on operations. */ + enum { + ops_plus = 1, /**< Complexity on plus/minus ops. */ + ops_muls = 1 /**< Complexity on multiplications. */ + }; +}; + + +/** + * \class NumericTraits<int> NumericTraits.h "tvmet/NumericTraits.h" + * \brief Traits specialized for int. + */ +template<> +struct NumericTraits<int> { + typedef int value_type; + typedef value_type base_type; +#if defined(TVMET_HAVE_LONG_LONG) + typedef long long sum_type; +#else + typedef long sum_type; +#endif + typedef int diff_type; + typedef double float_type; + typedef int signed_type; + + typedef NumericTraits<value_type> traits_type; + typedef value_type argument_type; + + static inline + base_type real(argument_type x) { return x; } + + static inline + base_type imag(argument_type) { return 0; } + + static inline + value_type conj(argument_type x) { return x; } + + static inline + base_type abs(argument_type x) { return std::abs(x); } + + static inline + value_type sqrt(argument_type x) { + return static_cast<value_type>(std::sqrt(static_cast<float_type>(x))); + } + + static inline + base_type norm_1(argument_type x) { return traits_type::abs(x); } + + static inline + base_type norm_2(argument_type x) { return traits_type::abs(x); } + + static inline + base_type norm_inf(argument_type x) { return traits_type::abs(x); } + + static inline + bool equals(argument_type lhs, argument_type rhs) { return lhs == rhs; } + + enum { is_complex = false }; + + /** Complexity on operations. */ + enum { + ops_plus = 1, /**< Complexity on plus/minus ops. */ + ops_muls = 1 /**< Complexity on multiplications. */ + }; +}; + + +/** + * \class NumericTraits<unsigned int> NumericTraits.h "tvmet/NumericTraits.h" + * \brief Traits specialized for unsigned int. + * + * \note Normally it doesn't make sense to call <tt>conj</tt> + * for an unsigned type! An unary minus operator + * applied to unsigned type will result unsigned. Therefore + * this function is missing here. + */ +template<> +struct NumericTraits<unsigned int> { + typedef unsigned int value_type; + typedef value_type base_type; +#if defined(TVMET_HAVE_LONG_LONG) + typedef unsigned long long sum_type; +#else + typedef unsigned long sum_type; +#endif + typedef int diff_type; + typedef double float_type; + typedef long signed_type; + + typedef NumericTraits<value_type> traits_type; + typedef value_type argument_type; + + static inline + base_type real(argument_type x) { return x; } + + static inline + base_type imag(argument_type) { return 0; } + + static inline + base_type abs(argument_type x) { return x; } + + static inline + value_type sqrt(argument_type x) { + return static_cast<value_type>(std::sqrt(static_cast<float_type>(x))); + } + + static inline + base_type norm_1(argument_type x) { return traits_type::abs(x); } + + static inline + base_type norm_2(argument_type x) { return traits_type::abs(x); } + + static inline + base_type norm_inf(argument_type x) { return traits_type::abs(x); } + + static inline + bool equals(argument_type lhs, argument_type rhs) { return lhs == rhs; } + + enum { is_complex = false }; + + /** Complexity on operations. */ + enum { + ops_plus = 1, /**< Complexity on plus/minus ops. */ + ops_muls = 1 /**< Complexity on multiplications. */ + }; +}; + + +/** + * \class NumericTraits<long> NumericTraits.h "tvmet/NumericTraits.h" + * \brief Traits specialized for long. + */ +template<> +struct NumericTraits<long> { + typedef long value_type; + typedef value_type base_type; +#if defined(TVMET_HAVE_LONG_LONG) + typedef long long sum_type; +#else + typedef long sum_type; +#endif + typedef long diff_type; + typedef double float_type; + typedef long signed_type; + + typedef NumericTraits<value_type> traits_type; + typedef value_type argument_type; + + static inline + base_type real(argument_type x) { return x; } + + static inline + base_type imag(argument_type) { return 0; } + + static inline + value_type conj(argument_type x) { return x; } + + static inline + base_type abs(argument_type x) { return std::abs(x); } + + static inline + value_type sqrt(argument_type x) { + return static_cast<value_type>(std::sqrt(static_cast<float_type>(x))); + } + + static inline + base_type norm_1(argument_type x) { return traits_type::abs(x); } + + static inline + base_type norm_2(argument_type x) { return traits_type::abs(x); } + + static inline + base_type norm_inf(argument_type x) { return traits_type::abs(x); } + + static inline + bool equals(argument_type lhs, argument_type rhs) { return lhs == rhs; } + + enum { is_complex = false }; + + /** Complexity on operations. */ + enum { + ops_plus = 1, /**< Complexity on plus/minus ops. */ + ops_muls = 1 /**< Complexity on multiplications. */ + }; +}; + + +/** + * \class NumericTraits<unsigned long> NumericTraits.h "tvmet/NumericTraits.h" + * \brief Traits specialized for unsigned long. + * + * \note Normally it doesn't make sense to call <tt>conj</tt> + * for an unsigned type! An unary minus operator + * applied to unsigned type will result unsigned. Therefore + * this function is missing here. + */ +template<> +struct NumericTraits<unsigned long> { + typedef unsigned long value_type; + typedef value_type base_type; +#if defined(TVMET_HAVE_LONG_LONG) + typedef unsigned long long sum_type; +#else + typedef unsigned long sum_type; +#endif + typedef unsigned long diff_type; + typedef double float_type; + typedef long signed_type; + + typedef NumericTraits<value_type> traits_type; + typedef value_type argument_type; + + static inline + base_type real(argument_type x) { return x; } + + static inline + base_type imag(argument_type) { return 0; } + + static inline + base_type abs(argument_type x) { return x; } + + static inline + value_type sqrt(argument_type x) { + return static_cast<value_type>(std::sqrt(static_cast<float_type>(x))); + } + + static inline + base_type norm_1(argument_type x) { return traits_type::abs(x); } + + static inline + base_type norm_2(argument_type x) { return traits_type::abs(x); } + + static inline + base_type norm_inf(argument_type x) { return traits_type::abs(x); } + + static inline + bool equals(argument_type lhs, argument_type rhs) { return lhs == rhs; } + + enum { is_complex = false }; + + /** Complexity on operations. */ + enum { + ops_plus = 1, /**< Complexity on plus/minus ops. */ + ops_muls = 1 /**< Complexity on multiplications. */ + }; +}; + + +/** + * \class NumericTraits<float> NumericTraits.h "tvmet/NumericTraits.h" + * \brief Traits specialized for float. + */ +template<> +struct NumericTraits<float> { + typedef float value_type; + typedef value_type base_type; + typedef double sum_type; + typedef float diff_type; + typedef float float_type; + typedef float signed_type; + + typedef NumericTraits<value_type> traits_type; + typedef value_type argument_type; + + static inline + base_type real(argument_type x) { return x; } + + static inline + base_type imag(argument_type) { return 0; } + + static inline + value_type conj(argument_type x) { return x; } + + static inline + base_type abs(argument_type x) { return std::abs(x); } + + static inline + value_type sqrt(argument_type x) { return std::sqrt(x); } + + static inline + base_type norm_1(argument_type x) { return traits_type::abs(x); } + + static inline + base_type norm_2(argument_type x) { return traits_type::abs(x); } + + static inline + base_type norm_inf(argument_type x) { return traits_type::abs(x); } + + static inline + bool equals(argument_type lhs, argument_type rhs) { + static base_type sqrt_epsilon( + NumericTraits<base_type>::sqrt( + std::numeric_limits<base_type>::epsilon())); + + return traits_type::norm_inf(lhs - rhs) < sqrt_epsilon * + std::max(std::max(traits_type::norm_inf(lhs), + traits_type::norm_inf(rhs)), + std::numeric_limits<base_type>::min()); + } + + enum { is_complex = false }; + + /** Complexity on operations. */ + enum { + ops_plus = 1, /**< Complexity on plus/minus ops. */ + ops_muls = 1 /**< Complexity on multiplications. */ + }; +}; + + +/** + * \class NumericTraits<double> NumericTraits.h "tvmet/NumericTraits.h" + * \brief Traits specialized for double. + */ +template<> +struct NumericTraits<double> { + typedef double value_type; + typedef value_type base_type; +#if defined(TVMET_HAVE_LONG_DOUBLE) + typedef long double sum_type; +#else + typedef double sum_type; +#endif + typedef double diff_type; + typedef double float_type; + typedef double signed_type; + + typedef NumericTraits<value_type> traits_type; + typedef value_type argument_type; + + static inline + base_type real(argument_type x) { return x; } + + static inline + base_type imag(argument_type) { return 0; } + + static inline + value_type conj(argument_type x) { return x; } + + static inline + base_type abs(argument_type x) { return std::abs(x); } + + static inline + value_type sqrt(argument_type x) { return std::sqrt(x); } + + static inline + base_type norm_1(argument_type x) { return traits_type::abs(x); } + + static inline + base_type norm_2(argument_type x) { return traits_type::abs(x); } + + static inline + base_type norm_inf(argument_type x) { return traits_type::abs(x); } + + static inline + bool equals(argument_type lhs, argument_type rhs) { + static base_type sqrt_epsilon( + NumericTraits<base_type>::sqrt( + std::numeric_limits<base_type>::epsilon())); + + return traits_type::norm_inf(lhs - rhs) < sqrt_epsilon * + std::max(std::max(traits_type::norm_inf(lhs), + traits_type::norm_inf(rhs)), + std::numeric_limits<base_type>::min()); + } + + enum { is_complex = false }; + + /** Complexity on operations. */ + enum { + ops_plus = 1, /**< Complexity on plus/minus ops. */ + ops_muls = 1 /**< Complexity on multiplications. */ + }; +}; + + +#if defined(TVMET_HAVE_LONG_DOUBLE) +/** + * \class NumericTraits<long double> NumericTraits.h "tvmet/NumericTraits.h" + * \brief Traits specialized for long double. + */ +template<> +struct NumericTraits<long double> { + typedef long double value_type; + typedef value_type base_type; + typedef long double sum_type; + typedef long double diff_type; + typedef long double float_type; + typedef long double signed_type; + + typedef NumericTraits<value_type> traits_type; + typedef value_type argument_type; + + static inline + base_type real(argument_type x) { return x; } + + static inline + base_type imag(argument_type) { return 0; } + + static inline + value_type conj(argument_type x) { return x; } + + static inline + base_type abs(argument_type x) { return std::abs(x); } + + static inline + value_type sqrt(argument_type x) { return std::sqrt(x); } + + static inline + base_type norm_1(argument_type x) { return traits_type::abs(x); } + + static inline + base_type norm_2(argument_type x) { return traits_type::abs(x); } + + static inline + base_type norm_inf(argument_type x) { return traits_type::abs(x); } + + static inline + bool equals(argument_type lhs, argument_type rhs) { + static base_type sqrt_epsilon( + NumericTraits<base_type>::sqrt( + std::numeric_limits<base_type>::epsilon())); + + return traits_type::norm_inf(lhs - rhs) < sqrt_epsilon * + std::max(std::max(traits_type::norm_inf(lhs), + traits_type::norm_inf(rhs)), + std::numeric_limits<base_type>::min()); + } + + enum { is_complex = false }; + + /** Complexity on operations. */ + enum { + ops_plus = 1, /**< Complexity on plus/minus ops. */ + ops_muls = 1 /**< Complexity on multiplications. */ + }; +}; +#endif // TVMET_HAVE_LONG_DOUBLE + + +/* + * numeric traits for complex types + */ +#if defined(TVMET_HAVE_COMPLEX) + +/** + * \class NumericTraits< std::complex<int> > NumericTraits.h "tvmet/NumericTraits.h" + * \brief Traits specialized for std::complex<int>. + */ +template<> +struct NumericTraits< std::complex<int> > { + typedef int base_type; + typedef std::complex<int> value_type; + typedef std::complex<long> sum_type; + typedef std::complex<int> diff_type; + typedef std::complex<float> float_type; + typedef std::complex<int> signed_type; + + typedef NumericTraits<value_type> traits_type; + typedef const value_type& argument_type; + + static inline + base_type real(argument_type z) { return std::real(z); } + + static inline + base_type imag(argument_type z) { return std::imag(z); } + + static inline + value_type conj(argument_type z) { return std::conj(z); } + + static inline + base_type abs(argument_type z) { + base_type x = z.real(); + base_type y = z.imag(); + + // XXX probably case of overrun; header complex uses scaling + return static_cast<base_type>(NumericTraits<base_type>::sqrt(x * x + y * y)); + } + + static /* inline */ + value_type sqrt(argument_type z) { + // borrowed and adapted from header complex + base_type x = z.real(); + base_type y = z.imag(); + + if(x == base_type()) { + base_type t = NumericTraits<base_type>::sqrt( + NumericTraits<base_type>::abs(y) / 2); + return value_type(t, y < base_type() ? -t : t); + } + else { + base_type t = NumericTraits<base_type>::sqrt( + 2 * (traits_type::abs(z) + + NumericTraits<base_type>::abs(x))); + base_type u = t / 2; + return x > base_type() + ? value_type(u, y / t) + : value_type(NumericTraits<base_type>::abs(y) / t, y < base_type() ? -u : u); + } + } + + static inline + base_type norm_1(argument_type z) { + return NumericTraits<base_type>::abs((traits_type::real(z))) + + NumericTraits<base_type>::abs((traits_type::imag(z))); + } + + static inline + base_type norm_2(argument_type z) { return traits_type::abs(z); } + + static inline + base_type norm_inf(argument_type z) { + return std::max(NumericTraits<base_type>::abs(traits_type::real(z)), + NumericTraits<base_type>::abs(traits_type::imag(z))); + } + + static inline + bool equals(argument_type lhs, argument_type rhs) { + return (traits_type::real(lhs) == traits_type::real(rhs)) + && (traits_type::imag(lhs) == traits_type::imag(rhs)); + } + + enum { is_complex = true }; + + /** Complexity on operations. */ + enum { + ops_plus = 2, /**< Complexity on plus/minus ops. */ + ops_muls = 6 /**< Complexity on multiplications. */ + }; +}; + + +/** + * \class NumericTraits< std::complex<unsigned int> > NumericTraits.h "tvmet/NumericTraits.h" + * \brief Traits specialized for std::complex<unsigned int>. + * + * \note Normally it doesn't make sense to call <tt>conj</tt> + * for an unsigned type! An unary minus operator + * applied to unsigned type will result unsigned. Therefore + * this function is missing here. + */ +template<> +struct NumericTraits< std::complex<unsigned int> > { + typedef unsigned int base_type; + typedef std::complex<unsigned int> value_type; + typedef std::complex<unsigned long> sum_type; + typedef std::complex<int> diff_type; + typedef std::complex<float> float_type; + typedef std::complex<int> signed_type; + + typedef NumericTraits<value_type> traits_type; + typedef const value_type& argument_type; + + static inline + base_type real(argument_type z) { return std::real(z); } + + static inline + base_type imag(argument_type z) { return std::imag(z); } + + static inline + base_type abs(argument_type z) { + base_type x = z.real(); + base_type y = z.imag(); + + // XXX probably case of overrun; header complex uses scaling + return static_cast<base_type>(NumericTraits<base_type>::sqrt(x * x + y * y)); + } + + static /* inline */ + value_type sqrt(argument_type z) { + // borrowed and adapted from header complex + base_type x = z.real(); + base_type y = z.imag(); + + if(x == base_type()) { + base_type t = NumericTraits<base_type>::sqrt( + NumericTraits<base_type>::abs(y) / 2); + return value_type(t, t); + } + else { + base_type t = NumericTraits<base_type>::sqrt( + 2 * (traits_type::abs(z) + + NumericTraits<base_type>::abs(x))); + return value_type(t / 2, y / t); + } + } + + static inline + base_type norm_1(argument_type z) { + return NumericTraits<base_type>::abs((traits_type::real(z))) + + NumericTraits<base_type>::abs((traits_type::imag(z))); + } + + static inline + base_type norm_2(argument_type z) { return traits_type::abs(z); } + + static inline + base_type norm_inf(argument_type z) { + return std::max(NumericTraits<base_type>::abs(traits_type::real(z)), + NumericTraits<base_type>::abs(traits_type::imag(z))); + } + + static inline + bool equals(argument_type lhs, argument_type rhs) { + return (traits_type::real(lhs) == traits_type::real(rhs)) + && (traits_type::imag(lhs) == traits_type::imag(rhs)); + } + + enum { is_complex = true }; + + /** Complexity on operations. */ + enum { + ops_plus = 2, /**< Complexity on plus/minus ops. */ + ops_muls = 6 /**< Complexity on multiplications. */ + }; +}; + + +/** + * \class NumericTraits< std::complex<long> > NumericTraits.h "tvmet/NumericTraits.h" + * \brief Traits specialized for std::complex<long>. + */ +template<> +struct NumericTraits< std::complex<long> > { + typedef long base_type; + typedef std::complex<long> value_type; +#if defined(TVMET_HAVE_LONG_LONG) + typedef std::complex<long long> sum_type; +#else + typedef std::complex<long> sum_type; +#endif + typedef std::complex<int> diff_type; + typedef std::complex<float> float_type; + typedef std::complex<int> signed_type; + + typedef NumericTraits<value_type> traits_type; + typedef const value_type& argument_type; + + static inline + base_type real(argument_type z) { return std::real(z); } + + static inline + base_type imag(argument_type z) { return std::imag(z); } + + static inline + value_type conj(argument_type z) { return std::conj(z); } + + static inline + base_type abs(argument_type z) { + base_type x = z.real(); + base_type y = z.imag(); + + // XXX probably case of overrun; header complex uses scaling + return static_cast<base_type>(NumericTraits<base_type>::sqrt(x * x + y * y)); + } + + static /* inline */ + value_type sqrt(argument_type z) { + // borrowed and adapted from header complex + base_type x = z.real(); + base_type y = z.imag(); + + if(x == base_type()) { + base_type t = NumericTraits<base_type>::sqrt( + NumericTraits<base_type>::abs(y) / 2); + return value_type(t, y < base_type() ? -t : t); + } + else { + base_type t = NumericTraits<base_type>::sqrt( + 2 * (traits_type::abs(z) + + NumericTraits<base_type>::abs(x))); + base_type u = t / 2; + return x > base_type() + ? value_type(u, y / t) + : value_type(NumericTraits<base_type>::abs(y) / t, y < base_type() ? -u : u); + } + } + + static inline + base_type norm_1(argument_type z) { + return NumericTraits<base_type>::abs((traits_type::real(z))) + + NumericTraits<base_type>::abs((traits_type::imag(z))); + } + + static inline + base_type norm_2(argument_type z) { return traits_type::abs(z); } + + static inline + base_type norm_inf(argument_type z) { + return std::max(NumericTraits<base_type>::abs(traits_type::real(z)), + NumericTraits<base_type>::abs(traits_type::imag(z))); + } + + static inline + bool equals(argument_type lhs, argument_type rhs) { + return (traits_type::real(lhs) == traits_type::real(rhs)) + && (traits_type::imag(lhs) == traits_type::imag(rhs)); + } + + enum { is_complex = true }; + + /** Complexity on operations. */ + enum { + ops_plus = 2, /**< Complexity on plus/minus ops. */ + ops_muls = 6 /**< Complexity on multiplications. */ + }; +}; + + +/** + * \class NumericTraits< std::complex<unsigned long> > NumericTraits.h "tvmet/NumericTraits.h" + * \brief Traits specialized for std::complex<unsigned long>. + * + * \note Normally it doesn't make sense to call <tt>conj</tt> + * for an unsigned type! An unary minus operator + * applied to unsigned type will result unsigned. Therefore + * this function is missing here. + */ +template<> +struct NumericTraits< std::complex<unsigned long> > { + typedef unsigned long base_type; + typedef std::complex<unsigned long> value_type; +#if defined(TVMET_HAVE_LONG_LONG) + typedef std::complex<unsigned long long> sum_type; +#else + typedef std::complex<unsigned long> sum_type; +#endif + typedef std::complex<long> diff_type; + typedef std::complex<float> float_type; + typedef std::complex<long> signed_type; + + typedef NumericTraits<value_type> traits_type; + typedef const value_type& argument_type; + + static inline + base_type real(argument_type z) { return std::real(z); } + + static inline + base_type imag(argument_type z) { return std::imag(z); } + + static inline + base_type abs(argument_type z) { + base_type x = z.real(); + base_type y = z.imag(); + + // XXX probably case of overrun; header complex uses scaling + return static_cast<base_type>(NumericTraits<base_type>::sqrt(x * x + y * y)); + } + + static /* inline */ + value_type sqrt(argument_type z) { + // borrowed and adapted from header complex + base_type x = z.real(); + base_type y = z.imag(); + + if(x == base_type()) { + base_type t = NumericTraits<base_type>::sqrt( + NumericTraits<base_type>::abs(y) / 2); + return value_type(t, t); + } + else { + base_type t = NumericTraits<base_type>::sqrt( + 2 * (traits_type::abs(z) + + NumericTraits<base_type>::abs(x))); + return value_type(t / 2, y / t); + } + } + + static inline + base_type norm_1(argument_type z) { + return NumericTraits<base_type>::abs((traits_type::real(z))) + + NumericTraits<base_type>::abs((traits_type::imag(z))); + } + + static inline + base_type norm_2(argument_type z) { return traits_type::abs(z); } + + static inline + base_type norm_inf(argument_type z) { + return std::max(NumericTraits<base_type>::abs(traits_type::real(z)), + NumericTraits<base_type>::abs(traits_type::imag(z))); + } + + static inline + bool equals(argument_type lhs, argument_type rhs) { + return (traits_type::real(lhs) == traits_type::real(rhs)) + && (traits_type::imag(lhs) == traits_type::imag(rhs)); + } + + enum { is_complex = true }; + + /** Complexity on operations.*/ + enum { + ops_plus = 2, /**< Complexity on plus/minus ops. */ + ops_muls = 6 /**< Complexity on multiplications. */ + }; +}; + + +/** + * \class NumericTraits< std::complex<float> > NumericTraits.h "tvmet/NumericTraits.h" + * \brief Traits specialized for std::complex<float>. + */ +template<> +struct NumericTraits< std::complex<float> > { + typedef float base_type; + typedef std::complex<float> value_type; + typedef std::complex<double> sum_type; + typedef std::complex<float> diff_type; + typedef std::complex<float> float_type; + typedef std::complex<float> signed_type; + + typedef NumericTraits<value_type> traits_type; + typedef const value_type& argument_type; + + static inline + base_type real(argument_type z) { return std::real(z); } + + static inline + base_type imag(argument_type z) { return std::imag(z); } + + static inline + value_type conj(argument_type z) { return std::conj(z); } + + static inline + base_type abs(argument_type z) { return std::abs(z); } + + static inline + value_type sqrt(argument_type z) { return std::sqrt(z); } + + static inline + base_type norm_1(argument_type z) { + return NumericTraits<base_type>::abs((traits_type::real(z))) + + NumericTraits<base_type>::abs((traits_type::imag(z))); + } + + static inline + base_type norm_2(argument_type z) { return traits_type::abs(z); } + + static inline + base_type norm_inf(argument_type z) { + return std::max(NumericTraits<base_type>::abs(traits_type::real(z)), + NumericTraits<base_type>::abs(traits_type::imag(z))); + } + + static inline + bool equals(argument_type lhs, argument_type rhs) { + static base_type sqrt_epsilon( + NumericTraits<base_type>::sqrt( + std::numeric_limits<base_type>::epsilon())); + + return traits_type::norm_inf(lhs - rhs) < sqrt_epsilon * + std::max(std::max(traits_type::norm_inf(lhs), + traits_type::norm_inf(rhs)), + std::numeric_limits<base_type>::min()); + } + + enum { is_complex = true }; + + /** Complexity on operations. */ + enum { + ops_plus = 2, /**< Complexity on plus/minus ops. */ + ops_muls = 6 /**< Complexity on multiplications. */ + }; +}; + + +/** + * \class NumericTraits< std::complex<double> > NumericTraits.h "tvmet/NumericTraits.h" + * \brief Traits specialized for std::complex<double>. + */ +template<> +struct NumericTraits< std::complex<double> > { + typedef double base_type; + typedef std::complex<double> value_type; +#if defined(TVMET_HAVE_LONG_DOUBLE) + typedef std::complex<long double> sum_type; +#else + typedef std::complex<double> sum_type; +#endif + typedef std::complex<double> diff_type; + typedef std::complex<double> float_type; + typedef std::complex<double> signed_type; + + typedef NumericTraits<value_type> traits_type; + typedef const value_type& argument_type; + + static inline + base_type real(argument_type z) { return std::real(z); } + + static inline + base_type imag(argument_type z) { return std::imag(z); } + + static inline + value_type conj(argument_type z) { return std::conj(z); } + + static inline + base_type abs(argument_type z) { return std::abs(z); } + + static inline + value_type sqrt(argument_type z) { return std::sqrt(z); } + + static inline + base_type norm_1(argument_type z) { + return NumericTraits<base_type>::abs((traits_type::real(z))) + + NumericTraits<base_type>::abs((traits_type::imag(z))); + } + + static inline + base_type norm_2(argument_type z) { return traits_type::abs(z); } + + static inline + base_type norm_inf(argument_type z) { + return std::max(NumericTraits<base_type>::abs(traits_type::real(z)), + NumericTraits<base_type>::abs(traits_type::imag(z))); + } + + static inline + bool equals(argument_type lhs, argument_type rhs) { + static base_type sqrt_epsilon( + NumericTraits<base_type>::sqrt( + std::numeric_limits<base_type>::epsilon())); + + return traits_type::norm_inf(lhs - rhs) < sqrt_epsilon * + std::max(std::max(traits_type::norm_inf(lhs), + traits_type::norm_inf(rhs)), + std::numeric_limits<base_type>::min()); + } + + enum { is_complex = true }; + + /** Complexity on operations. */ + enum { + ops_plus = 2, /**< Complexity on plus/minus ops. */ + ops_muls = 6 /**< Complexity on multiplications. */ + }; +}; + + +#if defined(TVMET_HAVE_LONG_DOUBLE) +/** + * \class NumericTraits< std::complex<long double> > NumericTraits.h "tvmet/NumericTraits.h" + * \brief Traits specialized for std::complex<double>. + */ +template<> +struct NumericTraits< std::complex<long double> > { + typedef long double base_type; + typedef std::complex<long double> value_type; + typedef std::complex<long double> sum_type; + typedef std::complex<long double> diff_type; + typedef std::complex<long double> float_type; + typedef std::complex<long double> signed_type; + + typedef NumericTraits<value_type> traits_type; + typedef const value_type& argument_type; + + static inline + base_type real(argument_type z) { return std::real(z); } + + static inline + base_type imag(argument_type z) { return std::imag(z); } + + static inline + value_type conj(argument_type z) { return std::conj(z); } + + static inline + base_type abs(argument_type z) { return std::abs(z); } + + static inline + value_type sqrt(argument_type z) { return std::sqrt(z); } + + static inline + base_type norm_1(argument_type z) { + return NumericTraits<base_type>::abs((traits_type::real(z))) + + NumericTraits<base_type>::abs((traits_type::imag(z))); + } + + static inline + base_type norm_2(argument_type z) { return traits_type::abs(z); } + + static inline + base_type norm_inf(argument_type z) { + return std::max(NumericTraits<base_type>::abs(traits_type::real(z)), + NumericTraits<base_type>::abs(traits_type::imag(z))); + } + + static inline + bool equals(argument_type lhs, argument_type rhs) { + static base_type sqrt_epsilon( + NumericTraits<base_type>::sqrt( + std::numeric_limits<base_type>::epsilon())); + + return traits_type::norm_inf(lhs - rhs) < sqrt_epsilon * + std::max(std::max(traits_type::norm_inf(lhs), + traits_type::norm_inf(rhs)), + std::numeric_limits<base_type>::min()); + } + + enum { is_complex = true }; + + /** Complexity on operations. */ + enum { + ops_plus = 2, /**< Complexity on plus/minus ops. */ + ops_muls = 6 /**< Complexity on multiplications. */ + }; +}; +#endif // defined(TVMET_HAVE_LONG_DOUBLE) + + +#endif // defined(TVMET_HAVE_COMPLEX) + + +} // namespace tvmet + + +#endif // TVMET_NUMERIC_TRAITS_H + + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/RunTimeError.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,66 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: RunTimeError.h,v 1.13 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_RUN_TIME_ERROR_H +#define TVMET_RUN_TIME_ERROR_H + +#include <cassert> + + +namespace tvmet { + + +/** + * \def TVMET_RT_CONDITION(XPR, MSG) + * \brief If TVMET_DEBUG is defined it checks the condition XPR and prints + * an error message MSG at runtime. + */ +#if defined(TVMET_DEBUG) + +#define TVMET_RT_CONDITION(XPR, MSG) { \ + if(!(XPR)) { \ + std::cerr << "[tvmet] Precondition failure in " << __FILE__ \ + << ", line " << __LINE__ << ": " \ + << MSG << std::endl; \ + std::cerr.flush(); \ + assert(0); \ + } \ +} + +#else + +#define TVMET_RT_CONDITION(XPR, MSG) + +#endif + + +} // namespace tvmet + + +#endif // TVMET_RUN_TIME_ERROR_H + + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/TvmetBase.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,112 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: TvmetBase.h,v 1.17 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_BASE_H +#define TVMET_BASE_H + +#include <iostream>//<iosfwd> // io streams forward declaration +#include <typeinfo> // rtti: used by Xpr.h level printing +#include <cmath> // unary and binary math +#include <cstdlib> // labs + +#if defined(WIN32) && defined(_MSC_VER) && (_MSC_VER == 1310) +#include <string> // operator<<(ostream) here defined +#endif + +#if defined(__APPLE_CC__) +// Mac OS X builds seems to miss these functions inside cmath +extern "C" int isnan(double); +extern "C" int isinf(double); +#endif + +namespace tvmet { + + +/** + * \class TvmetBase TvmetBase.h "tvmet/TvmetBase.h" + * \brief Base class + * Used for static polymorph call of print_xpr + */ +template<class E> class TvmetBase { }; + + +/** + * \class IndentLevel TvmetBase.h "tvmet/TvmetBase.h" + * \brief Prints the level indent. + */ +class IndentLevel : public TvmetBase< IndentLevel > +{ +public: + IndentLevel(std::size_t level) : m_level(level) { } + + std::ostream& print_xpr(std::ostream& os) const { + for(std::size_t i = 0; i != m_level; ++i) os << " "; + return os; + } + +private: + std::size_t m_level; +}; + + +/** + * \fn operator<<(std::ostream& os, const TvmetBase<E>& e) + * \brief overloaded ostream operator using static polymorphic. + * \ingroup _binary_operator + */ +template<class E> +inline +std::ostream& operator<<(std::ostream& os, const TvmetBase<E>& e) { + static_cast<const E&>(e).print_xpr(os); + return os; +} + + +/** + * \class dispatch TvmetBase.h "tvmet/TvmetBase.h" + * \brief Class helper to distuingish between e.g. meta + * and loop strategy used. + */ +template<bool> struct dispatch; + +/** + * \class dispatch<true> TvmetBase.h "tvmet/TvmetBase.h" + * \brief specialized. + */ +template<> struct dispatch<true> { }; + +/** + * \class dispatch<false> TvmetBase.h "tvmet/TvmetBase.h" + * \brief specialized. + */ +template<> struct dispatch<false> { }; + + +} // namespace tvmet + +#endif // TVMET_BASE_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/TypePromotion.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,232 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: TypePromotion.h,v 1.10 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_TYPE_PROMOTION_H +#define TVMET_TYPE_PROMOTION_H + +namespace tvmet { + + +/** + * \class PrecisionTraits TypePromotion.h "tvmet/TypePromotion.h" + * \brief Declaring ranks of types to avoid specializing + * + * All possible promoted types. For example, bool=1, int=2, float=3, double=4, + * etc. We can use a traits class to map from a type such as float onto its + * "precision rank". We will promote to whichever type has a higher + * "precision rank". f there is no "precision rank" for a type, we'll + * promote to whichever type requires more storage space + * (and hopefully more precision). + */ +template<class T> +struct PrecisionTraits { + enum { + rank = 0, /**< the rank of type. */ + known = 0 /**< true, if the rank is specialized = known. */ + }; +}; + + +#define TVMET_PRECISION(T,R) \ +template<> \ +struct PrecisionTraits< T > { \ + enum { \ + rank = R, \ + known = 1 \ + }; \ +}; + + +/* + * pod types + */ +TVMET_PRECISION(int, 100) +TVMET_PRECISION(unsigned int, 200) +TVMET_PRECISION(long, 300) +TVMET_PRECISION(unsigned long, 400) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_PRECISION(long long, 500) +TVMET_PRECISION(unsigned long long, 600) +#endif // defined(TVMET_HAVE_LONG_LONG) + +TVMET_PRECISION(float, 700) +TVMET_PRECISION(double, 800) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_PRECISION(long double, 900) +#endif // defined(TVMET_HAVE_LONG_DOUBLE) + + +/* + * complex types + */ +#if defined(TVMET_HAVE_COMPLEX) +TVMET_PRECISION(std::complex<int>, 1000) +TVMET_PRECISION(std::complex<unsigned int>, 1100) +TVMET_PRECISION(std::complex<long>, 1200) +TVMET_PRECISION(std::complex<unsigned long>, 1300) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_PRECISION(std::complex<long long>, 1400) +TVMET_PRECISION(std::complex<unsigned long long>, 1500) +#endif // defined(TVMET_HAVE_LONG_LONG) + +TVMET_PRECISION(std::complex<float>, 1600) +TVMET_PRECISION(std::complex<double>, 1700) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_PRECISION(std::complex<long double>, 1800) +#endif // defined(TVMET_HAVE_LONG_DOUBLE) + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/** \class PrecisionTraits<int> TypePromotion.h "tvmet/TypePromotion.h" */ +/** \class PrecisionTraits<unsigned int> TypePromotion.h "tvmet/TypePromotion.h" */ +/** \class PrecisionTraits<long> TypePromotion.h "tvmet/TypePromotion.h" */ +/** \class PrecisionTraits<unsigned long> TypePromotion.h "tvmet/TypePromotion.h" */ +/** \class PrecisionTraits<long long> TypePromotion.h "tvmet/TypePromotion.h" */ +/** \class PrecisionTraits<unsigned long long> TypePromotion.h "tvmet/TypePromotion.h" */ +/** \class PrecisionTraits<float> TypePromotion.h "tvmet/TypePromotion.h" */ +/** \class PrecisionTraits<double> TypePromotion.h "tvmet/TypePromotion.h" */ +/** \class PrecisionTraits<long double> TypePromotion.h "tvmet/TypePromotion.h" */ +/** \class PrecisionTraits< std::complex<int> > TypePromotion.h "tvmet/TypePromotion.h" */ +/** \class PrecisionTraits< std::complex<unsigned int> > TypePromotion.h "tvmet/TypePromotion.h" */ +/** \class PrecisionTraits< std::complex<long> > TypePromotion.h "tvmet/TypePromotion.h" */ +/** \class PrecisionTraits< std::complex<unsigned long> > TypePromotion.h "tvmet/TypePromotion.h" */ +/** \class PrecisionTraits< std::complex<long long> > TypePromotion.h "tvmet/TypePromotion.h" */ +/** \class PrecisionTraits< std::complex<unsigned long long> > TypePromotion.h "tvmet/TypePromotion.h" */ +/** \class PrecisionTraits< std::complex<float> > TypePromotion.h "tvmet/TypePromotion.h" */ +/** \class PrecisionTraits< std::complex<double> > TypePromotion.h "tvmet/TypePromotion.h" */ +/** \class PrecisionTraits< std::complex<long double> > TypePromotion.h "tvmet/TypePromotion.h" */ + +#undef TVMET_PRECISION + + +/** + * \class AutopromoteTraits TypePromotion.h "tvmet/TypePromotion.h" + * \brief The promoted types traits. + */ +template<class T> +struct AutopromoteTraits { + typedef T value_type; +}; + + +/* + * Defines a macro for specializing/defining + * the promotion traits. bool, char, unsigned char, short int, etc. will + * be autopromote to int, as in C and C++. + */ +#define TVMET_AUTOPROMOTE(T1,T2) \ +template<> \ +struct AutopromoteTraits<T1> { \ + typedef T2 value_type; \ +}; + +TVMET_AUTOPROMOTE(bool, int) +TVMET_AUTOPROMOTE(char, int) +TVMET_AUTOPROMOTE(unsigned char, int) +TVMET_AUTOPROMOTE(short int, int) +TVMET_AUTOPROMOTE(short unsigned int, unsigned int) + +/** \class AutopromoteTraits<bool> TypePromotion.h "tvmet/TypePromotion.h" */ +/** \class AutopromoteTraits<char> TypePromotion.h "tvmet/TypePromotion.h" */ +/** \class AutopromoteTraits<unsigned char> TypePromotion.h "tvmet/TypePromotion.h" */ +/** \class AutopromoteTraits<short int> TypePromotion.h "tvmet/TypePromotion.h" */ +/** \class AutopromoteTraits<short unsigned int> TypePromotion.h "tvmet/TypePromotion.h" */ + +#undef TVMET_AUTOPROMOTE + + +/** + * \class promoteTo TypePromotion.h "tvmet/TypePromotion.h" + * \brief Promote to T1. + */ +template<class T1, class T2, int promoteToT1> +struct promoteTo { + typedef T1 value_type; +}; + + +/** + * \class promoteTo<T1,T2,0> TypePromotion.h "tvmet/TypePromotion.h" + * \brief Promote to T2 + */ +template<class T1, class T2> +struct promoteTo<T1,T2,0> { + typedef T2 value_type; +}; + + +/** + * \class PromoteTraits TypePromotion.h "tvmet/TypePromotion.h" + * \brief Promote type traits + */ +template<class T1org, class T2org> +class PromoteTraits { + // Handle promotion of small integers to int/unsigned int + typedef typename AutopromoteTraits<T1org>::value_type T1; + typedef typename AutopromoteTraits<T2org>::value_type T2; + + enum { + // True if T1 is higher ranked + T1IsBetter = int(PrecisionTraits<T1>::rank) > int(PrecisionTraits<T2>::rank), + + // True if we know ranks for both T1 and T2 + knowBothRanks = PrecisionTraits<T1>::known && PrecisionTraits<T2>::known, + + // True if we know T1 but not T2 + knowT1butNotT2 = PrecisionTraits<T1>::known && !(PrecisionTraits<T2>::known), + + // True if we know T2 but not T1 + knowT2butNotT1 = PrecisionTraits<T2>::known && !(PrecisionTraits<T1>::known), + + // True if T1 is bigger than T2 + T1IsLarger = sizeof(T1) >= sizeof(T2), + + // We know T1 but not T2: true + // We know T2 but not T1: false + // Otherwise, if T1 is bigger than T2: true + defaultPromotion = knowT1butNotT2 ? false : (knowT2butNotT1 ? true : T1IsLarger), + + // If we have both ranks, then use them. + // If we have only one rank, then use the unknown type. + // If we have neither rank, then promote to the larger type. + promoteToT1 = (knowBothRanks ? T1IsBetter : defaultPromotion) ? 1 : 0 + }; + + public: + typedef typename promoteTo<T1,T2,promoteToT1>::value_type value_type; +}; + + +} // namespace tvmet + +#endif // TVMET_TYPE_PROMOTION_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/UnaryFunctionals.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,349 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: UnaryFunctionals.h,v 1.24 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_UNARY_FUNCTIONAL_H +#define TVMET_UNARY_FUNCTIONAL_H + +namespace tvmet { + +/** \class Fcnl_compl UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_neg UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_not UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template <class T> \ +struct Fcnl_##NAME : public UnaryFunctional { \ + typedef T value_type; \ + \ + static inline \ + value_type apply_on(value_type rhs) { \ + return OP rhs; \ + } \ + \ + static \ + void print_xpr(std::ostream& os, std::size_t l=0) { \ + os << IndentLevel(l) << "Fcnl_" << #NAME << "<T=" \ + << typeid(T).name() << ">," \ + << std::endl; \ + } \ +}; + +TVMET_IMPLEMENT_MACRO(compl, ~) +TVMET_IMPLEMENT_MACRO(neg, -) +TVMET_IMPLEMENT_MACRO(not, !) +#undef TVMET_IMPLEMENT_MACRO + + +/** \class Fcnl_abs UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_ceil UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_floor UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_sin UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_cos UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_tan UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_sinh UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_cosh UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_tanh UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_asin UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_acos UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_atan UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_exp UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_log UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_log10 UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_sqrt UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template <class T> \ +struct Fcnl_##NAME : public UnaryFunctional { \ + typedef T value_type; \ + \ + static inline \ + value_type apply_on(value_type rhs) { \ + return TVMET_STD_SCOPE(NAME)(rhs); \ + } \ + \ + static \ + void print_xpr(std::ostream& os, std::size_t l=0) { \ + os << IndentLevel(l) << "Fcnl_" << #NAME << "<T=" \ + << typeid(value_type).name() << ">," \ + << std::endl; \ + } \ +}; + +TVMET_IMPLEMENT_MACRO(abs) // specialized later, see below +TVMET_IMPLEMENT_MACRO(ceil) +TVMET_IMPLEMENT_MACRO(floor) +TVMET_IMPLEMENT_MACRO(sin) +TVMET_IMPLEMENT_MACRO(cos) +TVMET_IMPLEMENT_MACRO(tan) +TVMET_IMPLEMENT_MACRO(sinh) +TVMET_IMPLEMENT_MACRO(cosh) +TVMET_IMPLEMENT_MACRO(tanh) +TVMET_IMPLEMENT_MACRO(asin) +TVMET_IMPLEMENT_MACRO(acos) +TVMET_IMPLEMENT_MACRO(atan) +TVMET_IMPLEMENT_MACRO(exp) +TVMET_IMPLEMENT_MACRO(log) +TVMET_IMPLEMENT_MACRO(log10) +TVMET_IMPLEMENT_MACRO(sqrt) + +#undef TVMET_IMPLEMENT_MACRO + + +/** \class Fcnl_cbrt UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_rint UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template <class T> \ +struct Fcnl_##NAME : public UnaryFunctional { \ + typedef T value_type; \ + \ + static inline \ + value_type apply_on(value_type rhs) { \ + return TVMET_GLOBAL_SCOPE(NAME)(rhs); \ + } \ + \ + static \ + void print_xpr(std::ostream& os, std::size_t l=0) { \ + os << IndentLevel(l) << "Fcnl_" << #NAME << "<T=" \ + << typeid(value_type).name() << ">," \ + << std::endl; \ + } \ +}; + +TVMET_IMPLEMENT_MACRO(cbrt) +TVMET_IMPLEMENT_MACRO(rint) + +#undef TVMET_IMPLEMENT_MACRO + + +#if defined(TVMET_HAVE_IEEE_MATH) + +/** \class Fcnl_asinh UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_acosh UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_atanh UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_expm1 UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_log1p UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_erf UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_erfc UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_j0 UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_j1 UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_y0 UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_y1 UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_lgamma UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template <class T> \ +struct Fcnl_##NAME : public UnaryFunctional { \ + typedef T value_type; \ + \ + static inline \ + value_type apply_on(value_type rhs) { \ + return TVMET_GLOBAL_SCOPE(NAME)(rhs); \ + } \ + \ + static \ + void print_xpr(std::ostream& os, std::size_t l=0) { \ + os << IndentLevel(l) << "Fcnl_" << #NAME << "<T=" \ + << typeid(value_type).name() << ">," \ + << std::endl; \ + } \ +}; + +TVMET_IMPLEMENT_MACRO(asinh) +TVMET_IMPLEMENT_MACRO(acosh) +TVMET_IMPLEMENT_MACRO(atanh) +TVMET_IMPLEMENT_MACRO(expm1) +TVMET_IMPLEMENT_MACRO(log1p) +TVMET_IMPLEMENT_MACRO(erf) +TVMET_IMPLEMENT_MACRO(erfc) +TVMET_IMPLEMENT_MACRO(j0) +TVMET_IMPLEMENT_MACRO(j1) +TVMET_IMPLEMENT_MACRO(y0) +TVMET_IMPLEMENT_MACRO(y1) +TVMET_IMPLEMENT_MACRO(lgamma) + +#undef TVMET_IMPLEMENT_MACRO + +#endif // defined(TVMET_HAVE_IEEE_MATH) + + +/** \class Fcnl_abs<long int> UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_abs<long long int> UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_abs<float> UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_abs<double> UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_abs<long double> UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +#define TVMET_IMPLEMENT_MACRO(NAME, POD) \ +template <class T> struct Fcnl_##NAME; \ +template <> \ +struct Fcnl_##NAME< POD > : public UnaryFunctional { \ + typedef POD value_type; \ + \ + static inline \ + value_type apply_on(value_type rhs) { \ + return TVMET_STD_SCOPE(NAME)(rhs); \ + } \ + \ + static \ + void print_xpr(std::ostream& os, std::size_t l=0) { \ + os << IndentLevel(l) << "Fcnl_" << #NAME << "<T=" \ + << typeid(value_type).name() << ">," \ + << std::endl; \ + } \ +}; + +TVMET_IMPLEMENT_MACRO(labs, long int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_IMPLEMENT_MACRO(labs, long long int) +#endif + +TVMET_IMPLEMENT_MACRO(fabs, float) +TVMET_IMPLEMENT_MACRO(fabs, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_IMPLEMENT_MACRO(fabs, long double) +#endif + +#undef TVMET_IMPLEMENT_MACRO + + +/* + * complex support + */ + +#if defined(TVMET_HAVE_COMPLEX) +/** + * \class Fcnl_abs< std::complex<T> > UnaryFunctionals.h "tvmet/UnaryFunctionals.h" + */ +template <class T> +struct Fcnl_abs< std::complex<T> > : public UnaryFunctional { + typedef T value_type; + + static inline + value_type apply_on(const std::complex<T>& rhs) { + return std::abs(rhs); + } + + static + void print_xpr(std::ostream& os, std::size_t l=0) { + os << IndentLevel(l) << "Fcnl_abs<T=" + << typeid(std::complex<T>).name() << ">," + << std::endl; + } +}; + + +/** + * \class Fcnl_conj< std::complex<T> > UnaryFunctionals.h "tvmet/UnaryFunctionals.h" + * \brief %Functional for conj. + */ +template <class T> struct Fcnl_conj : public UnaryFunctional { }; + + +/** \class Fcnl_conj< std::complex<T> > UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +template <class T> +struct Fcnl_conj< std::complex<T> > : public UnaryFunctional { + typedef std::complex<T> value_type; + + static inline + value_type apply_on(const std::complex<T>& rhs) { + return std::conj(rhs); + } + + static + void print_xpr(std::ostream& os, std::size_t l=0) { + os << IndentLevel(l) << "Fcnl_conj<T=" + << typeid(std::complex<T>).name() << ">," + << std::endl; + } +}; + + +/** \class Fcnl_real< std::complex<T> > UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_imag< std::complex<T> > UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_arg< std::complex<T> > UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_norm< std::complex<T> > UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template <class T> struct Fcnl_##NAME; \ +template <class T> \ +struct Fcnl_##NAME< std::complex<T> > : public UnaryFunctional { \ + typedef T value_type; \ + \ + static inline \ + value_type apply_on(const std::complex<T>& rhs) { \ + return TVMET_STD_SCOPE(NAME)(rhs); \ + } \ + \ + static \ + void print_xpr(std::ostream& os, std::size_t l=0) { \ + os << IndentLevel(l) << "Fcnl_" << #NAME << "<T=" \ + << typeid(std::complex<T>).name() << ">," \ + << std::endl; \ + } \ +}; + +TVMET_IMPLEMENT_MACRO(real) +TVMET_IMPLEMENT_MACRO(imag) +TVMET_IMPLEMENT_MACRO(arg) +TVMET_IMPLEMENT_MACRO(norm) + +#undef TVMET_IMPLEMENT_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +#if defined(TVMET_HAVE_IEEE_MATH) + +/** \class Fcnl_isnan UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_isinf UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +/** \class Fcnl_finite UnaryFunctionals.h "tvmet/UnaryFunctionals.h" */ +#define TVMET_IMPLEMENT_MACRO(NAME, POD) \ +template <class T> \ +struct Fcnl_##NAME : public UnaryFunctional { \ + typedef T value_type; \ + \ + static inline \ + POD apply_on(T rhs) { \ + return TVMET_GLOBAL_SCOPE(NAME)(rhs); \ + } \ + \ + static \ + void print_xpr(std::ostream& os, std::size_t l=0) { \ + os << IndentLevel(l) << "Fcnl_" << #NAME << "<T=" \ + << typeid(POD).name() << ">," \ + << std::endl; \ + } \ +}; + +TVMET_IMPLEMENT_MACRO(isnan, int) +TVMET_IMPLEMENT_MACRO(isinf, int) +TVMET_IMPLEMENT_MACRO(finite, int) + +#undef TVMET_IMPLEMENT_MACRO + +#endif // defined(TVMET_HAVE_IEEE_MATH) + +} // namespace tvmet + +#endif // TVMET_UNARY_FUNCTIONAL_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/Vector.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,563 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * lesser General Public License for more details. + * + * You should have received a copy of the GNU lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Vector.h,v 1.48 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_VECTOR_H +#define TVMET_VECTOR_H + +#include <iterator> // reverse_iterator + +#include <tvmet/tvmet.h> +#include <tvmet/TypePromotion.h> +#include <tvmet/CommaInitializer.h> +#include <tvmet/RunTimeError.h> + +#include <tvmet/xpr/Vector.h> + +namespace tvmet { + + +/* forwards */ +template<class T, std::size_t Sz> class Vector; + + +/** + * \class VectorConstReference Vector.h "tvmet/Vector.h" + * \brief Const value iterator for ET + */ +template<class T, std::size_t Sz> +class VectorConstReference + : public TvmetBase< VectorConstReference<T, Sz> > +{ +public: // types + typedef T value_type; + typedef T* pointer; + typedef const T* const_pointer; + +public: + /** Dimensions. */ + enum { + Size = Sz /**< The size of the vector. */ + }; + +public: + /** Complexity counter. */ + enum { + ops = Size + }; + +private: + VectorConstReference(); + VectorConstReference& operator=(const VectorConstReference&); + +public: + /** Constructor. */ + explicit VectorConstReference(const Vector<T, Size>& rhs) + : m_data(rhs.data()) + { } + + /** Constructor by a given memory pointer. */ + explicit VectorConstReference(const_pointer data) + : m_data(data) + { } + +public: // access operators + /** access by index. */ + value_type operator()(std::size_t i) const { + TVMET_RT_CONDITION(i < Size, "VectorConstReference Bounce Violation") + return m_data[i]; + } + +public: // debugging Xpr parse tree + void print_xpr(std::ostream& os, std::size_t l=0) const { + os << IndentLevel(l) + << "VectorConstReference[O=" << ops << "]<" + << "T=" << typeid(T).name() << ">," + << std::endl; + } + +private: + const_pointer _tvmet_restrict m_data; +}; + + +/** + * \class Vector Vector.h "tvmet/Vector.h" + * \brief Compile time fixed length vector with evaluation on compile time. + */ +template<class T, std::size_t Sz> +class Vector +{ +public: + /** Data type of the tvmet::Vector. */ + typedef T value_type; + + /** Reference type of the tvmet::Vector data elements. */ + typedef T& reference; + + /** const reference type of the tvmet::Vector data elements. */ + typedef const T& const_reference; + + /** STL iterator interface. */ + typedef T* iterator; + + /** STL const_iterator interface. */ + typedef const T* const_iterator; + + /** STL reverse iterator interface. */ + typedef std::reverse_iterator<iterator> reverse_iterator; + + /** STL const reverse iterator interface. */ + typedef std::reverse_iterator<const_iterator> const_reverse_iterator; + +public: + /** Dimensions. */ + enum { + Size = Sz /**< The size of the vector. */ + }; + +public: + /** Complexity counter. */ + enum { + ops_assign = Size, + ops = ops_assign, + use_meta = ops < TVMET_COMPLEXITY_V_ASSIGN_TRIGGER ? true : false + }; + +public: // STL interface + /** STL iterator interface. */ + iterator begin() { return m_data; } + + /** STL iterator interface. */ + iterator end() { return m_data + Size; } + + /** STL const_iterator interface. */ + const_iterator begin() const { return m_data; } + + /** STL const_iterator interface. */ + const_iterator end() const { return m_data + Size; } + + /** STL reverse iterator interface reverse begin. */ + reverse_iterator rbegin() { return reverse_iterator( end() ); } + + /** STL const reverse iterator interface reverse begin. */ + const_reverse_iterator rbegin() const { + return const_reverse_iterator( end() ); + } + + /** STL reverse iterator interface reverse end. */ + reverse_iterator rend() { return reverse_iterator( begin() ); } + + /** STL const reverse iterator interface reverse end. */ + const_reverse_iterator rend() const { + return const_reverse_iterator( begin() ); + } + + /** STL vector front element. */ + value_type front() { return m_data[0]; } + + /** STL vector const front element. */ + const_reference front() const { return m_data[0]; } + + /** STL vector back element. */ + value_type back() { return m_data[Size-1]; } + + /** STL vector const back element. */ + const_reference back() const { return m_data[Size-1]; } + + /** STL vector empty() - returns allways false. */ + static bool empty() { return false; } + + /** The size of the vector. */ + static std::size_t size() { return Size; } + + /** STL vector max_size() - returns allways Size. */ + static std::size_t max_size() { return Size; } + +public: + /** Default Destructor */ + ~Vector() { +#if defined(TVMET_DYNAMIC_MEMORY) + delete [] m_data; +#endif + } + + /** Default Constructor. The allocated memory region isn't cleared. If you want + a clean use the constructor argument zero. */ + explicit Vector() +#if defined(TVMET_DYNAMIC_MEMORY) + : m_data( new value_type[Size] ) +#endif + { } + + /** Copy Constructor, not explicit! */ + Vector(const Vector& rhs) +#if defined(TVMET_DYNAMIC_MEMORY) + : m_data( new value_type[Size] ) +#endif + { + *this = XprVector<ConstReference, Size>(rhs.const_ref()); + } + + /** + * Constructor with STL iterator interface. The data will be copied into the + * vector self, there isn't any stored reference to the array pointer. + */ + template<class InputIterator> + explicit Vector(InputIterator first, InputIterator last) +#if defined(TVMET_DYNAMIC_MEMORY) + : m_data( new value_type[Size] ) +#endif + { + TVMET_RT_CONDITION( static_cast<std::size_t>(std::distance(first, last)) <= Size, + "InputIterator doesn't fits in size" ) + std::copy(first, last, m_data); + } + + /** + * Constructor with STL iterator interface. The data will be copied into the + * vector self, there isn't any stored reference to the array pointer. + */ + template<class InputIterator> + explicit Vector(InputIterator first, std::size_t sz) +#if defined(TVMET_DYNAMIC_MEMORY) + : m_data( new value_type[Size] ) +#endif + { + TVMET_RT_CONDITION( sz <= Size, "InputIterator doesn't fits in size" ) + std::copy(first, first + sz, m_data); + } + + /** Constructor with initializer for all elements. */ + explicit Vector(value_type rhs) +#if defined(TVMET_DYNAMIC_MEMORY) + : m_data( new value_type[Size] ) +#endif + { + typedef XprLiteral<value_type> expr_type; + *this = XprVector<expr_type, Size>(expr_type(rhs)); + } + + /** Default Constructor with initializer list. */ + explicit Vector(value_type x0, value_type x1) +#if defined(TVMET_DYNAMIC_MEMORY) + : m_data( new value_type[Size] ) +#endif + { + TVMET_CT_CONDITION(2 <= Size, ArgumentList_is_too_long) + m_data[0] = x0; m_data[1] = x1; + } + + /** Default Constructor with initializer list. */ + explicit Vector(value_type x0, value_type x1, value_type x2) +#if defined(TVMET_DYNAMIC_MEMORY) + : m_data( new value_type[Size] ) +#endif + { + TVMET_CT_CONDITION(3 <= Size, ArgumentList_is_too_long) + m_data[0] = x0; m_data[1] = x1; m_data[2] = x2; + } + + /** Default Constructor with initializer list. */ + explicit Vector(value_type x0, value_type x1, value_type x2, value_type x3) +#if defined(TVMET_DYNAMIC_MEMORY) + : m_data( new value_type[Size] ) +#endif + { + TVMET_CT_CONDITION(4 <= Size, ArgumentList_is_too_long) + m_data[0] = x0; m_data[1] = x1; m_data[2] = x2; m_data[3] = x3; + } + + /** Default Constructor with initializer list. */ + explicit Vector(value_type x0, value_type x1, value_type x2, value_type x3, + value_type x4) +#if defined(TVMET_DYNAMIC_MEMORY) + : m_data( new value_type[Size] ) +#endif + { + TVMET_CT_CONDITION(5 <= Size, ArgumentList_is_too_long) + m_data[0] = x0; m_data[1] = x1; m_data[2] = x2; m_data[3] = x3; m_data[4] = x4; + } + + /** Default Constructor with initializer list. */ + explicit Vector(value_type x0, value_type x1, value_type x2, value_type x3, + value_type x4, value_type x5) +#if defined(TVMET_DYNAMIC_MEMORY) + : m_data( new value_type[Size] ) +#endif + { + TVMET_CT_CONDITION(6 <= Size, ArgumentList_is_too_long) + m_data[0] = x0; m_data[1] = x1; m_data[2] = x2; m_data[3] = x3; m_data[4] = x4; + m_data[5] = x5; + } + + /** Default Constructor with initializer list. */ + explicit Vector(value_type x0, value_type x1, value_type x2, value_type x3, + value_type x4, value_type x5, value_type x6) +#if defined(TVMET_DYNAMIC_MEMORY) + : m_data( new value_type[Size] ) +#endif + { + TVMET_CT_CONDITION(7 <= Size, ArgumentList_is_too_long) + m_data[0] = x0; m_data[1] = x1; m_data[2] = x2; m_data[3] = x3; m_data[4] = x4; + m_data[5] = x5; m_data[6] = x6; + } + + /** Default Constructor with initializer list. */ + explicit Vector(value_type x0, value_type x1, value_type x2, value_type x3, + value_type x4, value_type x5, value_type x6, value_type x7) +#if defined(TVMET_DYNAMIC_MEMORY) + : m_data( new value_type[Size] ) +#endif + { + TVMET_CT_CONDITION(8 <= Size, ArgumentList_is_too_long) + m_data[0] = x0; m_data[1] = x1; m_data[2] = x2; m_data[3] = x3; m_data[4] = x4; + m_data[5] = x5; m_data[6] = x6; m_data[7] = x7; + } + + /** Default Constructor with initializer list. */ + explicit Vector(value_type x0, value_type x1, value_type x2, value_type x3, + value_type x4, value_type x5, value_type x6, value_type x7, + value_type x8) +#if defined(TVMET_DYNAMIC_MEMORY) + : m_data( new value_type[Size] ) +#endif + { + TVMET_CT_CONDITION(9 <= Size, ArgumentList_is_too_long) + m_data[0] = x0; m_data[1] = x1; m_data[2] = x2; m_data[3] = x3; m_data[4] = x4; + m_data[5] = x5; m_data[6] = x6; m_data[7] = x7; m_data[8] = x8; + } + + /** Default Constructor with initializer list. */ + explicit Vector(value_type x0, value_type x1, value_type x2, value_type x3, + value_type x4, value_type x5, value_type x6, value_type x7, + value_type x8, value_type x9) +#if defined(TVMET_DYNAMIC_MEMORY) + : m_data( new value_type[Size] ) +#endif + { + TVMET_CT_CONDITION(10 <= Size, ArgumentList_is_too_long) + m_data[0] = x0; m_data[1] = x1; m_data[2] = x2; m_data[3] = x3; m_data[4] = x4; + m_data[5] = x5; m_data[6] = x6; m_data[7] = x7; m_data[8] = x8; m_data[9] = x9; + } + + /** Construct a vector by expression. */ + template <class E> + explicit Vector(const XprVector<E, Size>& e) +#if defined(TVMET_DYNAMIC_MEMORY) + : m_data( new value_type[Size] ) +#endif + { + *this = e; + } + + /** Assign a value_type on array, this can be used for a single value + or a comma separeted list of values. */ + CommaInitializer<Vector, Size> operator=(value_type rhs) { + return CommaInitializer<Vector, Size>(*this, rhs); + } + +public: // access operators + value_type* _tvmet_restrict data() { return m_data; } + const value_type* _tvmet_restrict data() const { return m_data; } + +public: // index access operators + value_type& _tvmet_restrict operator()(std::size_t i) { + // Note: g++-2.95.3 does have problems on typedef reference + TVMET_RT_CONDITION(i < Size, "Vector Bounce Violation") + return m_data[i]; + } + + value_type operator()(std::size_t i) const { + TVMET_RT_CONDITION(i < Size, "Vector Bounce Violation") + return m_data[i]; + } + + value_type& _tvmet_restrict operator[](std::size_t i) { + // Note: g++-2.95.3 does have problems on typedef reference + return this->operator()(i); + } + + value_type operator[](std::size_t i) const { + return this->operator()(i); + } + +public: // ET interface + typedef VectorConstReference<T, Size> ConstReference; + + /** Return a const Reference of the internal data */ + ConstReference const_ref() const { return ConstReference(*this); } + + /** Return the vector as const expression. */ + XprVector<ConstReference, Size> as_expr() const { + return XprVector<ConstReference, Size>(this->const_ref()); + } + +private: + /** Wrapper for meta assign. */ + template<class Dest, class Src, class Assign> + static inline + void do_assign(dispatch<true>, Dest& dest, const Src& src, const Assign& assign_fn) { + meta::Vector<Size, 0>::assign(dest, src, assign_fn); + } + + /** Wrapper for loop assign. */ + template<class Dest, class Src, class Assign> + static inline + void do_assign(dispatch<false>, Dest& dest, const Src& src, const Assign& assign_fn) { + loop::Vector<Size>::assign(dest, src, assign_fn); + } + +public: + /** assign this to a vector expression using the functional assign_fn. */ + template<class T2, class Assign> + void assign_to(Vector<T2, Size>& dest, const Assign& assign_fn) const { + do_assign(dispatch<use_meta>(), dest, *this, assign_fn); + } + +public: // assign operations + /** assign a given Vector element wise to this vector. + The operator=(const Vector&) is compiler generated. */ + template<class T2> + Vector& operator=(const Vector<T2, Size>& rhs) { + rhs.assign_to(*this, Fcnl_assign<value_type, T2>()); + return *this; + } + + /** assign a given XprVector element wise to this vector. */ + template<class E> + Vector& operator=(const XprVector<E, Size>& rhs) { + rhs.assign_to(*this, Fcnl_assign<value_type, typename E::value_type>()); + return *this; + } + +private: + template<class Obj, std::size_t LEN> friend class CommaInitializer; + + /** This is a helper for assigning a comma separated initializer + list. It's equal to Vector& operator=(value_type) which does + replace it. */ + Vector& assign_value(value_type rhs) { + typedef XprLiteral<value_type> expr_type; + *this = XprVector<expr_type, Size>(expr_type(rhs)); + return *this; + } + +public: // math operators with scalars + // NOTE: this meaning is clear - element wise ops even if not in ns element_wise + Vector& operator+=(value_type) TVMET_CXX_ALWAYS_INLINE; + Vector& operator-=(value_type) TVMET_CXX_ALWAYS_INLINE; + Vector& operator*=(value_type) TVMET_CXX_ALWAYS_INLINE; + Vector& operator/=(value_type) TVMET_CXX_ALWAYS_INLINE; + + Vector& operator%=(std::size_t) TVMET_CXX_ALWAYS_INLINE; + Vector& operator^=(std::size_t) TVMET_CXX_ALWAYS_INLINE; + Vector& operator&=(std::size_t) TVMET_CXX_ALWAYS_INLINE; + Vector& operator|=(std::size_t) TVMET_CXX_ALWAYS_INLINE; + Vector& operator<<=(std::size_t) TVMET_CXX_ALWAYS_INLINE; + Vector& operator>>=(std::size_t) TVMET_CXX_ALWAYS_INLINE; + +public: // math assign operators with vectors + // NOTE: access using the operators in ns element_wise, since that's what is does + template <class T2> Vector& M_add_eq(const Vector<T2, Size>&) TVMET_CXX_ALWAYS_INLINE; + template <class T2> Vector& M_sub_eq(const Vector<T2, Size>&) TVMET_CXX_ALWAYS_INLINE; + template <class T2> Vector& M_mul_eq(const Vector<T2, Size>&) TVMET_CXX_ALWAYS_INLINE; + template <class T2> Vector& M_div_eq(const Vector<T2, Size>&) TVMET_CXX_ALWAYS_INLINE; + template <class T2> Vector& M_mod_eq(const Vector<T2, Size>&) TVMET_CXX_ALWAYS_INLINE; + template <class T2> Vector& M_xor_eq(const Vector<T2, Size>&) TVMET_CXX_ALWAYS_INLINE; + template <class T2> Vector& M_and_eq(const Vector<T2, Size>&) TVMET_CXX_ALWAYS_INLINE; + template <class T2> Vector& M_or_eq (const Vector<T2, Size>&) TVMET_CXX_ALWAYS_INLINE; + template <class T2> Vector& M_shl_eq(const Vector<T2, Size>&) TVMET_CXX_ALWAYS_INLINE; + template <class T2> Vector& M_shr_eq(const Vector<T2, Size>&) TVMET_CXX_ALWAYS_INLINE; + +public: // math operators with expressions + // NOTE: access using the operators in ns element_wise, since that's what is does + template <class E> Vector& M_add_eq(const XprVector<E, Size>&) TVMET_CXX_ALWAYS_INLINE; + template <class E> Vector& M_sub_eq(const XprVector<E, Size>&) TVMET_CXX_ALWAYS_INLINE; + template <class E> Vector& M_mul_eq(const XprVector<E, Size>&) TVMET_CXX_ALWAYS_INLINE; + template <class E> Vector& M_div_eq(const XprVector<E, Size>&) TVMET_CXX_ALWAYS_INLINE; + template <class E> Vector& M_mod_eq(const XprVector<E, Size>&) TVMET_CXX_ALWAYS_INLINE; + template <class E> Vector& M_xor_eq(const XprVector<E, Size>&) TVMET_CXX_ALWAYS_INLINE; + template <class E> Vector& M_and_eq(const XprVector<E, Size>&) TVMET_CXX_ALWAYS_INLINE; + template <class E> Vector& M_or_eq (const XprVector<E, Size>&) TVMET_CXX_ALWAYS_INLINE; + template <class E> Vector& M_shl_eq(const XprVector<E, Size>&) TVMET_CXX_ALWAYS_INLINE; + template <class E> Vector& M_shr_eq(const XprVector<E, Size>&) TVMET_CXX_ALWAYS_INLINE; + +public: // aliased math operators with expressions, used with proxy + template <class T2> Vector& alias_assign(const Vector<T2, Size>&) TVMET_CXX_ALWAYS_INLINE; + template <class T2> Vector& alias_add_eq(const Vector<T2, Size>&) TVMET_CXX_ALWAYS_INLINE; + template <class T2> Vector& alias_sub_eq(const Vector<T2, Size>&) TVMET_CXX_ALWAYS_INLINE; + template <class T2> Vector& alias_mul_eq(const Vector<T2, Size>&) TVMET_CXX_ALWAYS_INLINE; + template <class T2> Vector& alias_div_eq(const Vector<T2, Size>&) TVMET_CXX_ALWAYS_INLINE; + + template <class E> Vector& alias_assign(const XprVector<E, Size>&) TVMET_CXX_ALWAYS_INLINE; + template <class E> Vector& alias_add_eq(const XprVector<E, Size>&) TVMET_CXX_ALWAYS_INLINE; + template <class E> Vector& alias_sub_eq(const XprVector<E, Size>&) TVMET_CXX_ALWAYS_INLINE; + template <class E> Vector& alias_mul_eq(const XprVector<E, Size>&) TVMET_CXX_ALWAYS_INLINE; + template <class E> Vector& alias_div_eq(const XprVector<E, Size>&) TVMET_CXX_ALWAYS_INLINE; + +public: // io + /** Structure for info printing as Vector<T, Size>. */ + struct Info : public TvmetBase<Info> { + std::ostream& print_xpr(std::ostream& os) const { + os << "Vector<T=" << typeid(value_type).name() + << ", Sz=" << Size << ">"; + return os; + } + }; + + /** Get an info object of this vector. */ + static Info info() { return Info(); } + + /** Member function for expression level printing. */ + std::ostream& print_xpr(std::ostream& os, std::size_t l=0) const; + + /** Member function for printing internal data. */ + std::ostream& print_on(std::ostream& os) const; + +private: + /** The data of vector self. */ + +#if defined(TVMET_DYNAMIC_MEMORY) + value_type* m_data; +#else + value_type m_data[Size]; +#endif +}; + + +} // namespace tvmet + +#include <tvmet/VectorImpl.h> +#include <tvmet/VectorFunctions.h> +#include <tvmet/VectorBinaryFunctions.h> +#include <tvmet/VectorUnaryFunctions.h> +#include <tvmet/VectorOperators.h> +#include <tvmet/VectorEval.h> +#include <tvmet/AliasProxy.h> + +#endif // TVMET_VECTOR_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/VectorBinaryFunctions.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,531 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: VectorBinaryFunctions.h,v 1.17 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_VECTOR_BINARY_FUNCTIONS_H +#define TVMET_VECTOR_BINARY_FUNCTIONS_H + +#include <tvmet/NumericTraits.h> +#include <tvmet/Extremum.h> + +namespace tvmet { + + +/********************************************************* + * PART I: DECLARATION + *********************************************************/ + +/* + * binary_function(Vector<T1, Sz>, Vector<T1, Sz>) + * binary_function(Vector<T, Sz>, XprVector<E>) + * binary_function(XprVector<E>, Vector<T, Sz>) + */ +#define TVMET_DECLARE_MACRO(NAME) \ +template<class T1, class T2, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<T1, T2>, \ + VectorConstReference<T1, Sz>, \ + VectorConstReference<T2, Sz> \ + >, \ + Sz \ +> \ +NAME(const Vector<T1, Sz>& lhs, \ + const Vector<T2, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class E, class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + VectorConstReference<T, Sz>, \ + XprVector<E, Sz> \ + >, \ + Sz \ +> \ +NAME(const XprVector<E, Sz>& lhs, \ + const Vector<T, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class E, class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<T, typename E::value_type>, \ + VectorConstReference<T, Sz>, \ + XprVector<E, Sz> \ + >, \ + Sz \ +> \ +NAME(const Vector<T, Sz>& lhs, \ + const XprVector<E, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(atan2) +TVMET_DECLARE_MACRO(drem) +TVMET_DECLARE_MACRO(fmod) +TVMET_DECLARE_MACRO(hypot) +TVMET_DECLARE_MACRO(jn) +TVMET_DECLARE_MACRO(yn) +TVMET_DECLARE_MACRO(pow) +#if defined(TVMET_HAVE_COMPLEX) +TVMET_DECLARE_MACRO(polar) +#endif + +#undef TVMET_DECLARE_MACRO + + +/* + * binary_function(Vector<T, Sz>, POD) + */ +#define TVMET_DECLARE_MACRO(NAME, TP) \ +template<class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<T, TP >, \ + VectorConstReference<T, Sz>, \ + XprLiteral< TP > \ + >, \ + Sz \ +> \ +NAME(const Vector<T, Sz>& lhs, TP rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(atan2, int) +TVMET_DECLARE_MACRO(drem, int) +TVMET_DECLARE_MACRO(fmod, int) +TVMET_DECLARE_MACRO(hypot, int) +TVMET_DECLARE_MACRO(jn, int) +TVMET_DECLARE_MACRO(yn, int) +TVMET_DECLARE_MACRO(pow, int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_DECLARE_MACRO(atan2, long long int) +TVMET_DECLARE_MACRO(drem, long long int) +TVMET_DECLARE_MACRO(fmod, long long int) +TVMET_DECLARE_MACRO(hypot, long long int) +TVMET_DECLARE_MACRO(jn, long long int) +TVMET_DECLARE_MACRO(yn, long long int) +TVMET_DECLARE_MACRO(pow, long long int) +#endif // defined(TVMET_HAVE_LONG_LONG) + +TVMET_DECLARE_MACRO(atan2, float) +TVMET_DECLARE_MACRO(drem, float) +TVMET_DECLARE_MACRO(fmod, float) +TVMET_DECLARE_MACRO(hypot, float) +TVMET_DECLARE_MACRO(jn, float) +TVMET_DECLARE_MACRO(yn, float) +TVMET_DECLARE_MACRO(pow, float) + +TVMET_DECLARE_MACRO(atan2, double) +TVMET_DECLARE_MACRO(drem, double) +TVMET_DECLARE_MACRO(fmod, double) +TVMET_DECLARE_MACRO(hypot, double) +TVMET_DECLARE_MACRO(jn, double) +TVMET_DECLARE_MACRO(yn, double) +TVMET_DECLARE_MACRO(pow, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_DECLARE_MACRO(atan2, long double) +TVMET_DECLARE_MACRO(drem, long double) +TVMET_DECLARE_MACRO(fmod, long double) +TVMET_DECLARE_MACRO(hypot, long double) +TVMET_DECLARE_MACRO(jn, long double) +TVMET_DECLARE_MACRO(yn, long double) +TVMET_DECLARE_MACRO(pow, long double) +#endif // defined(TVMET_HAVE_LONG_DOUBLE) + +#undef TVMET_DECLARE_MACRO + + +/* + * complex support + */ + +#if defined(TVMET_HAVE_COMPLEX) && defined(TVMET_HAVE_COMPLEX_MATH1) +template<class T, std::size_t Sz> +XprVector< + XprBinOp< + Fcnl_pow<T, std::complex<T> >, + VectorConstReference<T, Sz>, + XprLiteral< std::complex<T> > + >, + Sz +> +pow(const Vector<T, Sz>& lhs, + const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class T, std::size_t Sz> +XprVector< + XprBinOp< + Fcnl_pow<std::complex<T>, std::complex<T> >, + VectorConstReference<std::complex<T>, Sz>, + XprLiteral< std::complex<T> > + >, + Sz +> +pow(const Vector<std::complex<T>, Sz>& lhs, + const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class T, std::size_t Sz> +XprVector< + XprBinOp< + Fcnl_pow<std::complex<T>, T>, + VectorConstReference<std::complex<T>, Sz>, + XprLiteral<T> + >, + Sz +> +pow(const Vector<std::complex<T>, Sz>& lhs, + const T& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class T, std::size_t Sz> +XprVector< + XprBinOp< + Fcnl_pow<std::complex<T>, int>, + VectorConstReference<std::complex<T>, Sz>, + XprLiteral<int> + >, + Sz +> +pow(const Vector<std::complex<T>, Sz>& lhs, + int rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class T, std::size_t Sz> +XprVector< + XprBinOp< + Fcnl_polar<T, T>, + VectorConstReference<T, Sz>, + XprLiteral<T> + >, + Sz +> +polar(const Vector<T, Sz>& lhs, const T& rhs) TVMET_CXX_ALWAYS_INLINE; + +#endif // defined(TVMET_HAVE_COMPLEX) && defined(TVMET_HAVE_COMPLEX_MATH1) + +#if defined(TVMET_HAVE_COMPLEX) && defined(TVMET_HAVE_COMPLEX_MATH2) +// to be written (atan2) +#endif // defined(TVMET_HAVE_COMPLEX) && defined(TVMET_HAVE_COMPLEX_MATH2) + + +/********************************************************* + * PART II: IMPLEMENTATION + *********************************************************/ + +/* + * binary_function(Vector<T1, Sz>, Vector<T1, Sz>) + * binary_function(Vector<T, Sz>, XprVector<E>) + * binary_function(XprVector<E>, Vector<T, Sz>) + */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class T1, class T2, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<T1, T2>, \ + VectorConstReference<T1, Sz>, \ + VectorConstReference<T2, Sz> \ + >, \ + Sz \ +> \ +NAME(const Vector<T1, Sz>& lhs, const Vector<T2, Sz>& rhs) { \ + typedef XprBinOp < \ + Fcnl_##NAME<T1, T2>, \ + VectorConstReference<T1, Sz>, \ + VectorConstReference<T2, Sz> \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(lhs.const_ref(), rhs.const_ref())); \ +} \ + \ +template<class E, class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + VectorConstReference<T, Sz>, \ + XprVector<E, Sz> \ + >, \ + Sz \ +> \ +NAME(const XprVector<E, Sz>& lhs, const Vector<T, Sz>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + XprVector<E, Sz>, \ + VectorConstReference<T, Sz> \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(lhs, rhs.const_ref())); \ +} \ + \ +template<class E, class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<T, typename E::value_type>, \ + VectorConstReference<T, Sz>, \ + XprVector<E, Sz> \ + >, \ + Sz \ +> \ +NAME(const Vector<T, Sz>& lhs, const XprVector<E, Sz>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<T, typename E::value_type>, \ + VectorConstReference<T, Sz>, \ + XprVector<E, Sz> \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(lhs.const_ref(), rhs)); \ +} + +TVMET_IMPLEMENT_MACRO(atan2) +TVMET_IMPLEMENT_MACRO(drem) +TVMET_IMPLEMENT_MACRO(fmod) +TVMET_IMPLEMENT_MACRO(hypot) +TVMET_IMPLEMENT_MACRO(jn) +TVMET_IMPLEMENT_MACRO(yn) +TVMET_IMPLEMENT_MACRO(pow) +#if defined(TVMET_HAVE_COMPLEX) +TVMET_IMPLEMENT_MACRO(polar) +#endif + +#undef TVMET_IMPLEMENT_MACRO + + +/* + * binary_function(Vector<T, Sz>, POD) + */ +#define TVMET_IMPLEMENT_MACRO(NAME, TP) \ +template<class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<T, TP >, \ + VectorConstReference<T, Sz>, \ + XprLiteral< TP > \ + >, \ + Sz \ +> \ +NAME(const Vector<T, Sz>& lhs, TP rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<T, TP >, \ + VectorConstReference<T, Sz>, \ + XprLiteral< TP > \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(lhs.const_ref(), XprLiteral< TP >(rhs))); \ +} + +TVMET_IMPLEMENT_MACRO(atan2, int) +TVMET_IMPLEMENT_MACRO(drem, int) +TVMET_IMPLEMENT_MACRO(fmod, int) +TVMET_IMPLEMENT_MACRO(hypot, int) +TVMET_IMPLEMENT_MACRO(jn, int) +TVMET_IMPLEMENT_MACRO(yn, int) +TVMET_IMPLEMENT_MACRO(pow, int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_IMPLEMENT_MACRO(atan2, long long int) +TVMET_IMPLEMENT_MACRO(drem, long long int) +TVMET_IMPLEMENT_MACRO(fmod, long long int) +TVMET_IMPLEMENT_MACRO(hypot, long long int) +TVMET_IMPLEMENT_MACRO(jn, long long int) +TVMET_IMPLEMENT_MACRO(yn, long long int) +TVMET_IMPLEMENT_MACRO(pow, long long int) +#endif // defined(TVMET_HAVE_LONG_LONG) + +TVMET_IMPLEMENT_MACRO(atan2, float) +TVMET_IMPLEMENT_MACRO(drem, float) +TVMET_IMPLEMENT_MACRO(fmod, float) +TVMET_IMPLEMENT_MACRO(hypot, float) +TVMET_IMPLEMENT_MACRO(jn, float) +TVMET_IMPLEMENT_MACRO(yn, float) +TVMET_IMPLEMENT_MACRO(pow, float) + +TVMET_IMPLEMENT_MACRO(atan2, double) +TVMET_IMPLEMENT_MACRO(drem, double) +TVMET_IMPLEMENT_MACRO(fmod, double) +TVMET_IMPLEMENT_MACRO(hypot, double) +TVMET_IMPLEMENT_MACRO(jn, double) +TVMET_IMPLEMENT_MACRO(yn, double) +TVMET_IMPLEMENT_MACRO(pow, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_IMPLEMENT_MACRO(atan2, long double) +TVMET_IMPLEMENT_MACRO(drem, long double) +TVMET_IMPLEMENT_MACRO(fmod, long double) +TVMET_IMPLEMENT_MACRO(hypot, long double) +TVMET_IMPLEMENT_MACRO(jn, long double) +TVMET_IMPLEMENT_MACRO(yn, long double) +TVMET_IMPLEMENT_MACRO(pow, long double) +#endif // defined(TVMET_HAVE_LONG_DOUBLE) + +#undef TVMET_IMPLEMENT_MACRO + + +/* + * complex support + */ + +#if defined(TVMET_HAVE_COMPLEX) && defined(TVMET_HAVE_COMPLEX_MATH1) +/** + * \fn pow(const Vector<T, Sz>& lhs, const std::complex<T>& rhs) + * \ingroup _binary_function + */ +template<class T, std::size_t Sz> +inline +XprVector< + XprBinOp< + Fcnl_pow<T, std::complex<T> >, + VectorConstReference<T, Sz>, + XprLiteral< std::complex<T> > + >, + Sz +> +pow(const Vector<T, Sz>& lhs, const std::complex<T>& rhs) { + typedef XprBinOp< + Fcnl_pow<T, std::complex<T> >, + VectorConstReference<T, Sz>, + XprLiteral< std::complex<T> > + > expr_type; + return XprVector<expr_type, Sz>( + expr_type(lhs.const_ref(), XprLiteral< std::complex<T> >(rhs))); +} + + +/** + * \fn pow(const Vector<std::complex<T>, Sz>& lhs, const std::complex<T>& rhs) + * \ingroup _binary_function + */ +template<class T, std::size_t Sz> +inline +XprVector< + XprBinOp< + Fcnl_pow<std::complex<T>, std::complex<T> >, + VectorConstReference<std::complex<T>, Sz>, + XprLiteral< std::complex<T> > + >, + Sz +> +pow(const Vector<std::complex<T>, Sz>& lhs, const std::complex<T>& rhs) { + typedef XprBinOp< + Fcnl_pow<std::complex<T>, std::complex<T> >, + VectorConstReference<std::complex<T>, Sz>, + XprLiteral< std::complex<T> > + > expr_type; + return XprVector<expr_type, Sz>( + expr_type(lhs.const_ref(), XprLiteral< std::complex<T> >(rhs))); +} + + +/** + * \fn pow(const Vector<std::complex<T>, Sz>& lhs, const T& rhs) + * \ingroup _binary_function + */ +template<class T, std::size_t Sz> +inline +XprVector< + XprBinOp< + Fcnl_pow<std::complex<T>, T>, + VectorConstReference<std::complex<T>, Sz>, + XprLiteral<T> + >, + Sz +> +pow(const Vector<std::complex<T>, Sz>& lhs, const T& rhs) { + typedef XprBinOp< + Fcnl_pow<std::complex<T>, T>, + VectorConstReference<std::complex<T>, Sz>, + XprLiteral<T> + > expr_type; + return XprVector<expr_type, Sz>( + expr_type(lhs.const_ref(), XprLiteral<T>(rhs))); +} + + +/** + * \fn pow(const Vector<std::complex<T>, Sz>& lhs, int rhs) + * \ingroup _binary_function + */ +template<class T, std::size_t Sz> +inline +XprVector< + XprBinOp< + Fcnl_pow<std::complex<T>, int>, + VectorConstReference<std::complex<T>, Sz>, + XprLiteral<int> + >, + Sz +> +pow(const Vector<std::complex<T>, Sz>& lhs, int rhs) { + typedef XprBinOp< + Fcnl_pow<std::complex<T>, int>, + VectorConstReference<std::complex<T>, Sz>, + XprLiteral<int> + > expr_type; + return XprVector<expr_type, Sz>( + expr_type(lhs.const_ref(), XprLiteral<int>(rhs))); +} + + +/** + * \fn polar(const Vector<T, Sz>& lhs, const T& rhs) + * \ingroup _binary_function + */ +template<class T, std::size_t Sz> +inline +XprVector< + XprBinOp< + Fcnl_polar<T, T>, + VectorConstReference<T, Sz>, + XprLiteral<T> + >, + Sz +> +polar(const Vector<T, Sz>& lhs, const T& rhs) { + typedef XprBinOp< + Fcnl_polar<T, T>, + VectorConstReference<T, Sz>, + XprLiteral<T> + > expr_type; + return XprVector<expr_type, Sz>( + expr_type(lhs.const_ref(), XprLiteral<T>(rhs))); +} +#endif // defined(TVMET_HAVE_COMPLEX) && defined(TVMET_HAVE_COMPLEX_MATH1) + +#if defined(TVMET_HAVE_COMPLEX) && defined(TVMET_HAVE_COMPLEX_MATH2) +// to be written (atan2) +#endif // defined(TVMET_HAVE_COMPLEX) && defined(TVMET_HAVE_COMPLEX_MATH2) + + +} // namespace tvmet + +#endif // TVMET_VECTOR_BINARY_FUNCTIONS_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/VectorEval.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,382 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: VectorEval.h,v 1.18 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_VECTOR_EVAL_H +#define TVMET_VECTOR_EVAL_H + +namespace tvmet { + + +/******************************************************************** + * functions all_elements/any_elements + ********************************************************************/ + + +/** + * \fn bool all_elements(const XprVector<E, Sz>& e) + * \brief check on statements for all elements + * \ingroup _unary_function + * This is for use with boolean operators like + * \par Example: + * \code + * all_elements(vector > 0) { + * // true branch + * } else { + * // false branch + * } + * \endcode + * \sa \ref compare + */ +template<class E, std::size_t Sz> +inline +bool all_elements(const XprVector<E, Sz>& e) { + return meta::Vector<Sz>::all_elements(e); +} + + +/** + * \fn bool any_elements(const XprVector<E, Sz>& e) + * \brief check on statements for any elements + * \ingroup _unary_function + * This is for use with boolean operators like + * \par Example: + * \code + * any_elements(vector > 0) { + * // true branch + * } else { + * // false branch + * } + * \endcode + * \sa \ref compare + */ +template<class E, std::size_t Sz> +inline +bool any_elements(const XprVector<E, Sz>& e) { + return meta::Vector<Sz>::any_elements(e); +} + + +/* + * trinary evaluation functions with vectors and xpr of + * XprVector<E1, Sz> ? Vector<T2, Sz> : Vector<T3, Sz> + * XprVector<E1, Sz> ? Vector<T2, Sz> : XprVector<E3, Sz> + * XprVector<E1, Sz> ? XprVector<E2, Sz> : Vector<T3, Sz> + * XprVector<E1, Sz> ? XprVector<E2, Sz> : XprVector<E3, Sz> + */ + +/** + * eval(const XprVector<E1, Sz>& e1, const Vector<T2, Sz>& v2, const Vector<T3, Sz>& v3) + * \brief Evals the vector expressions. + * \ingroup _trinary_function + * This eval is for the a?b:c syntax, since it's not allowed to overload + * these operators. + */ +template<class E1, class T2, class T3, std::size_t Sz> +inline +XprVector< + XprEval< + XprVector<E1, Sz>, + VectorConstReference<T2, Sz>, + VectorConstReference<T3, Sz> + >, + Sz +> +eval(const XprVector<E1, Sz>& e1, const Vector<T2, Sz>& v2, const Vector<T3, Sz>& v3) { + typedef XprEval< + XprVector<E1, Sz>, + VectorConstReference<T2, Sz>, + VectorConstReference<T3, Sz> + > expr_type; + return XprVector<expr_type, Sz>( + expr_type(e1, v2.const_ref(), v3.const_ref())); +} + + +/** + * eval(const XprVector<E1, Sz>& e1, const Vector<T2, Sz>& v2, const XprVector<E3, Sz>& e3) + * \brief Evals the vector expressions. + * \ingroup _trinary_function + * This eval is for the a?b:c syntax, since it's not allowed to overload + * these operators. + */ +template<class E1, class T2, class E3, std::size_t Sz> +inline +XprVector< + XprEval< + XprVector<E1, Sz>, + VectorConstReference<T2, Sz>, + XprVector<E3, Sz> + >, + Sz +> +eval(const XprVector<E1, Sz>& e1, const Vector<T2, Sz>& v2, const XprVector<E3, Sz>& e3) { + typedef XprEval< + XprVector<E1, Sz>, + VectorConstReference<T2, Sz>, + XprVector<E3, Sz> + > expr_type; + return XprVector<expr_type, Sz>( + expr_type(e1, v2.const_ref(), e3)); +} + + +/** + * eval(const XprVector<E1, Sz>& e1, const XprVector<E2, Sz>& e2, const Vector<T3, Sz>& v3) + * \brief Evals the vector expressions. + * \ingroup _trinary_function + * This eval is for the a?b:c syntax, since it's not allowed to overload + * these operators. + */ +template<class E1, class E2, class T3, std::size_t Sz> +inline +XprVector< + XprEval< + XprVector<E1, Sz>, + XprVector<E2, Sz>, + VectorConstReference<T3, Sz> + >, + Sz +> +eval(const XprVector<E1, Sz>& e1, const XprVector<E2, Sz>& e2, const Vector<T3, Sz>& v3) { + typedef XprEval< + XprVector<E1, Sz>, + XprVector<E2, Sz>, + VectorConstReference<T3, Sz> + > expr_type; + return XprVector<expr_type, Sz>( + expr_type(e1, e2, v3.const_ref())); +} + + +/** + * eval(const XprVector<E1, Sz>& e1, const XprVector<E2, Sz>& e2, const XprVector<E3, Sz>& e3) + * \brief Evals the vector expressions. + * \ingroup _trinary_function + * This eval is for the a?b:c syntax, since it's not allowed to overload + * these operators. + */ +template<class E1, class E2, class E3, std::size_t Sz> +inline +XprVector< + XprEval< + XprVector<E1, Sz>, + XprVector<E2, Sz>, + XprVector<E3, Sz> + >, + Sz +> +eval(const XprVector<E1, Sz>& e1, const XprVector<E2, Sz>& e2, const XprVector<E3, Sz>& e3) { + typedef XprEval< + XprVector<E1, Sz>, + XprVector<E2, Sz>, + XprVector<E3, Sz> + > expr_type; + return XprVector<expr_type, Sz>(expr_type(e1, e2, e3)); +} + + +/* + * trinary evaluation functions with vectors, xpr of and POD + * + * XprVector<E, Sz> ? POD1 : POD2 + * XprVector<E1, Sz> ? POD : XprVector<E3, Sz> + * XprVector<E1, Sz> ? XprVector<E2, Sz> : POD + */ +#define TVMET_IMPLEMENT_MACRO(POD) \ +template<class E, std::size_t Sz> \ +inline \ +XprVector< \ + XprEval< \ + XprVector<E, Sz>, \ + XprLiteral< POD >, \ + XprLiteral< POD > \ + >, \ + Sz \ +> \ +eval(const XprVector<E, Sz>& e, POD x2, POD x3) { \ + typedef XprEval< \ + XprVector<E, Sz>, \ + XprLiteral< POD >, \ + XprLiteral< POD > \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(e, XprLiteral< POD >(x2), XprLiteral< POD >(x3))); \ +} \ + \ +template<class E1, class E3, std::size_t Sz> \ +inline \ +XprVector< \ + XprEval< \ + XprVector<E1, Sz>, \ + XprLiteral< POD >, \ + XprVector<E3, Sz> \ + >, \ + Sz \ +> \ +eval(const XprVector<E1, Sz>& e1, POD x2, const XprVector<E3, Sz>& e3) { \ + typedef XprEval< \ + XprVector<E1, Sz>, \ + XprLiteral< POD >, \ + XprVector<E3, Sz> \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(e1, XprLiteral< POD >(x2), e3)); \ +} \ + \ +template<class E1, class E2, std::size_t Sz> \ +inline \ +XprVector< \ + XprEval< \ + XprVector<E1, Sz>, \ + XprVector<E2, Sz>, \ + XprLiteral< POD > \ + >, \ + Sz \ +> \ +eval(const XprVector<E1, Sz>& e1, const XprVector<E2, Sz>& e2, POD x3) { \ + typedef XprEval< \ + XprVector<E1, Sz>, \ + XprVector<E2, Sz>, \ + XprLiteral< POD > \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(e1, e2, XprLiteral< POD >(x3))); \ +} + +TVMET_IMPLEMENT_MACRO(int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_IMPLEMENT_MACRO(long long int) +#endif // defined(TVMET_HAVE_LONG_LONG) + +TVMET_IMPLEMENT_MACRO(float) +TVMET_IMPLEMENT_MACRO(double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_IMPLEMENT_MACRO(long double) +#endif // defined(TVMET_HAVE_LONG_DOUBLE) + +#undef TVMET_IMPLEMENT_MACRO + + +/* + * trinary evaluation functions with vectors, xpr of and complex<> types + * + * XprVector<E, Sz> e, std::complex<T> z2, std::complex<T> z3 + * XprVector<E1, Sz> e1, std::complex<T> z2, XprVector<E3, Sz> e3 + * XprVector<E1, Sz> e1, XprVector<E2, Sz> e2, std::complex<T> z3 + */ +#if defined(TVMET_HAVE_COMPLEX) + + +/** + * eval(const XprVector<E, Sz>& e, std::complex<T> z2, std::complex<T> z3) + * \brief Evals the vector expressions. + * \ingroup _trinary_function + * This eval is for the a?b:c syntax, since it's not allowed to overload + * these operators. + */ +template<class E, std::size_t Sz, class T> +inline +XprVector< + XprEval< + XprVector<E, Sz>, + XprLiteral< std::complex<T> >, + XprLiteral< std::complex<T> > + >, + Sz +> +eval(const XprVector<E, Sz>& e, std::complex<T> z2, std::complex<T> z3) { + typedef XprEval< + XprVector<E, Sz>, + XprLiteral< std::complex<T> >, + XprLiteral< std::complex<T> > + > expr_type; + return XprVector<expr_type, Sz>( + expr_type(e, XprLiteral< std::complex<T> >(z2), XprLiteral< std::complex<T> >(z3))); +} + +/** + * eval(const XprVector<E1, Sz>& e1, std::complex<T> z2, const XprVector<E3, Sz>& e3) + * \brief Evals the vector expressions. + * \ingroup _trinary_function + * This eval is for the a?b:c syntax, since it's not allowed to overload + * these operators. + */ +template<class E1, class E3, std::size_t Sz, class T> +inline +XprVector< + XprEval< + XprVector<E1, Sz>, + XprLiteral< std::complex<T> >, + XprVector<E3, Sz> + >, + Sz +> +eval(const XprVector<E1, Sz>& e1, std::complex<T> z2, const XprVector<E3, Sz>& e3) { + typedef XprEval< + XprVector<E1, Sz>, + XprLiteral< std::complex<T> >, + XprVector<E3, Sz> + > expr_type; + return XprVector<expr_type, Sz>( + expr_type(e1, XprLiteral< std::complex<T> >(z2), e3)); +} + +/** + * eval(const XprVector<E1, Sz>& e1, const XprVector<E2, Sz>& e2, std::complex<T> z3) + * \brief Evals the vector expressions. + * \ingroup _trinary_function + * This eval is for the a?b:c syntax, since it's not allowed to overload + * these operators. + */ +template<class E1, class E2, std::size_t Sz, class T> +inline +XprVector< + XprEval< + XprVector<E1, Sz>, + XprVector<E2, Sz>, + XprLiteral< std::complex<T> > + >, + Sz +> +eval(const XprVector<E1, Sz>& e1, const XprVector<E2, Sz>& e2, std::complex<T> z3) { + typedef XprEval< + XprVector<E1, Sz>, + XprVector<E2, Sz>, + XprLiteral< std::complex<T> > + > expr_type; + return XprVector<expr_type, Sz>( + expr_type(e1, e2, XprLiteral< std::complex<T> >(z3))); +} +#endif // defined(TVMET_HAVE_COMPLEX) + + +} // namespace tvmet + +#endif // TVMET_VECTOR_EVAL_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/VectorFunctions.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,883 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: VectorFunctions.h,v 1.37 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_VECTOR_FUNCTIONS_H +#define TVMET_VECTOR_FUNCTIONS_H + +#include <tvmet/Extremum.h> + +namespace tvmet { + + +/********************************************************* + * PART I: DECLARATION + *********************************************************/ + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Vector arithmetic functions add, sub, mul and div + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * function(Vector<T1, Sz>, Vector<T2, Sz>) + * function(Vector<T, Sz>, XprVector<E, Sz>) + * function(XprVector<E, Sz>, Vector<T, Sz>) + */ +#define TVMET_DECLARE_MACRO(NAME) \ +template<class T1, class T2, std::size_t Sz> \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<T1, T2>, \ + VectorConstReference<T1, Sz>, \ + VectorConstReference<T2, Sz> \ + >, \ + Sz \ +> \ +NAME (const Vector<T1, Sz>& lhs, \ + const Vector<T2, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class E, class T, std::size_t Sz> \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + XprVector<E, Sz>, \ + VectorConstReference<T, Sz> \ + >, \ + Sz \ +> \ +NAME (const XprVector<E, Sz>& lhs, \ + const Vector<T, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class E, class T, std::size_t Sz> \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<T, typename E::value_type>, \ + VectorConstReference<T, Sz>, \ + XprVector<E, Sz> \ + >, \ + Sz \ +> \ +NAME (const Vector<T, Sz>& lhs, \ + const XprVector<E, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(add) // per se element wise +TVMET_DECLARE_MACRO(sub) // per se element wise +TVMET_DECLARE_MACRO(mul) // per se element wise +namespace element_wise { + TVMET_DECLARE_MACRO(div) // not defined for vectors +} + +#undef TVMET_DECLARE_MACRO + + +/* + * function(Vector<T, Sz>, POD) + * function(POD, Vector<T, Sz>) + * Note: - operations +,-,*,/ are per se element wise + */ +#define TVMET_DECLARE_MACRO(NAME, POD) \ +template<class T, std::size_t Sz> \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< T, POD >, \ + VectorConstReference<T, Sz>, \ + XprLiteral< POD > \ + >, \ + Sz \ +> \ +NAME (const Vector<T, Sz>& lhs, \ + POD rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class T, std::size_t Sz> \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< POD, T>, \ + XprLiteral< POD >, \ + VectorConstReference<T, Sz> \ + >, \ + Sz \ +> \ +NAME (POD lhs, \ + const Vector<T, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(add, int) +TVMET_DECLARE_MACRO(sub, int) +TVMET_DECLARE_MACRO(mul, int) +TVMET_DECLARE_MACRO(div, int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_DECLARE_MACRO(add, long long int) +TVMET_DECLARE_MACRO(sub, long long int) +TVMET_DECLARE_MACRO(mul, long long int) +TVMET_DECLARE_MACRO(div, long long int) +#endif + +TVMET_DECLARE_MACRO(add, float) +TVMET_DECLARE_MACRO(sub, float) +TVMET_DECLARE_MACRO(mul, float) +TVMET_DECLARE_MACRO(div, float) + +TVMET_DECLARE_MACRO(add, double) +TVMET_DECLARE_MACRO(sub, double) +TVMET_DECLARE_MACRO(mul, double) +TVMET_DECLARE_MACRO(div, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_DECLARE_MACRO(add, long double) +TVMET_DECLARE_MACRO(sub, long double) +TVMET_DECLARE_MACRO(mul, long double) +TVMET_DECLARE_MACRO(div, long double) +#endif + +#undef TVMET_DECLARE_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * function(Vector<std::complex<T>, Sz>, std::complex<T>) + * function(std::complex<T>, Vector<std::complex<T>, Sz>) + * Note: per se element wise + * \todo type promotion + */ +#define TVMET_DECLARE_MACRO(NAME) \ +template<class T, std::size_t Sz> \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + VectorConstReference< std::complex<T>, Sz>, \ + XprLiteral< std::complex<T> > \ + >, \ + Sz \ +> \ +NAME (const Vector<std::complex<T>, Sz>& lhs, \ + const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class T, std::size_t Sz> \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + XprLiteral< std::complex<T> >, \ + VectorConstReference< std::complex<T>, Sz> \ + >, \ + Sz \ +> \ +NAME (const std::complex<T>& lhs, \ + const Vector< std::complex<T>, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(add) +TVMET_DECLARE_MACRO(sub) +TVMET_DECLARE_MACRO(mul) +TVMET_DECLARE_MACRO(div) + +#undef TVMET_DECLARE_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * vector specific functions + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +template<class T, std::size_t Sz> +typename NumericTraits<T>::sum_type +sum(const Vector<T, Sz>& v) TVMET_CXX_ALWAYS_INLINE; + + +template<class T, std::size_t Sz> +typename NumericTraits<T>::sum_type +product(const Vector<T, Sz>& v) TVMET_CXX_ALWAYS_INLINE; + + +template<class T1, class T2, std::size_t Sz> +typename PromoteTraits<T1, T2>::value_type +dot(const Vector<T1, Sz>& lhs, + const Vector<T2, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class T1, class T2> +Vector<typename PromoteTraits<T1, T2>::value_type, 3> +cross(const Vector<T1, 3>& lhs, + const Vector<T2, 3>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class T, std::size_t Sz> +typename NumericTraits<T>::sum_type +norm1(const Vector<T, Sz>& v) TVMET_CXX_ALWAYS_INLINE; + + +template<class T, std::size_t Sz> +typename NumericTraits<T>::sum_type +norm2(const Vector<T, Sz>& v) TVMET_CXX_ALWAYS_INLINE; + + +template<class T, std::size_t Sz> +XprVector< + XprBinOp< + Fcnl_div<T, T>, + VectorConstReference<T, Sz>, + XprLiteral< T > + >, + Sz +> +normalize(const Vector<T, Sz>& v) TVMET_CXX_ALWAYS_INLINE; + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * min/max unary functions + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + +template<class E, std::size_t Sz> +Extremum<typename E::value_type, std::size_t, vector_tag> +maximum(const XprVector<E, Sz>& e); // NOT TVMET_CXX_ALWAYS_INLINE; + + +template<class T, std::size_t Sz> +Extremum<T, std::size_t, vector_tag> +maximum(const Vector<T, Sz>& v) TVMET_CXX_ALWAYS_INLINE; + + +template<class E, std::size_t Sz> +Extremum<typename E::value_type, std::size_t, vector_tag> +minimum(const XprVector<E, Sz>& e); // NOT TVMET_CXX_ALWAYS_INLINE; + + +template<class T, std::size_t Sz> +Extremum<T, std::size_t, vector_tag> +minimum(const Vector<T, Sz>& v) TVMET_CXX_ALWAYS_INLINE; + + +template<class E, std::size_t Sz> +typename E::value_type +max(const XprVector<E, Sz>& e); // NOT TVMET_CXX_ALWAYS_INLINE; + + +template<class T, std::size_t Sz> +T max(const Vector<T, Sz>& v) TVMET_CXX_ALWAYS_INLINE; + + +template<class E, std::size_t Sz> +typename E::value_type +min(const XprVector<E, Sz>& e); // NOT TVMET_CXX_ALWAYS_INLINE; + + +template<class T, std::size_t Sz> +T min(const Vector<T, Sz>& v) TVMET_CXX_ALWAYS_INLINE; + + +template<class T, std::size_t Sz> +XprVector< + VectorConstReference<T, Sz>, + Sz +> +cvector_ref(const T* mem) TVMET_CXX_ALWAYS_INLINE; + + +/********************************************************* + * PART II: IMPLEMENTATION + *********************************************************/ + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Vector arithmetic functions add, sub, mul and div + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * function(Vector<T1, Sz>, Vector<T2, Sz>) + * function(Vector<T, Sz>, XprVector<E, Sz>) + * function(XprVector<E, Sz>, Vector<T, Sz>) + */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class T1, class T2, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<T1, T2>, \ + VectorConstReference<T1, Sz>, \ + VectorConstReference<T2, Sz> \ + >, \ + Sz \ +> \ +NAME (const Vector<T1, Sz>& lhs, const Vector<T2, Sz>& rhs) { \ + typedef XprBinOp < \ + Fcnl_##NAME<T1, T2>, \ + VectorConstReference<T1, Sz>, \ + VectorConstReference<T2, Sz> \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(lhs.const_ref(), rhs.const_ref())); \ +} \ + \ +template<class E, class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + XprVector<E, Sz>, \ + VectorConstReference<T, Sz> \ + >, \ + Sz \ +> \ +NAME (const XprVector<E, Sz>& lhs, const Vector<T, Sz>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + XprVector<E, Sz>, \ + VectorConstReference<T, Sz> \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(lhs, rhs.const_ref())); \ +} \ + \ +template<class E, class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<T, typename E::value_type>, \ + VectorConstReference<T, Sz>, \ + XprVector<E, Sz> \ + >, \ + Sz \ +> \ +NAME (const Vector<T, Sz>& lhs, const XprVector<E, Sz>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<T, typename E::value_type>, \ + VectorConstReference<T, Sz>, \ + XprVector<E, Sz> \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(lhs.const_ref(), rhs)); \ +} + +TVMET_IMPLEMENT_MACRO(add) // per se element wise +TVMET_IMPLEMENT_MACRO(sub) // per se element wise +TVMET_IMPLEMENT_MACRO(mul) // per se element wise +namespace element_wise { + TVMET_IMPLEMENT_MACRO(div) // not defined for vectors +} + +#undef TVMET_IMPLEMENT_MACRO + + +/* + * function(Vector<T, Sz>, POD) + * function(POD, Vector<T, Sz>) + * Note: - operations +,-,*,/ are per se element wise + */ +#define TVMET_IMPLEMENT_MACRO(NAME, POD) \ +template<class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< T, POD >, \ + VectorConstReference<T, Sz>, \ + XprLiteral< POD > \ + >, \ + Sz \ +> \ +NAME (const Vector<T, Sz>& lhs, POD rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<T, POD >, \ + VectorConstReference<T, Sz>, \ + XprLiteral< POD > \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(lhs.const_ref(), XprLiteral< POD >(rhs))); \ +} \ + \ +template<class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< POD, T>, \ + XprLiteral< POD >, \ + VectorConstReference<T, Sz> \ + >, \ + Sz \ +> \ +NAME (POD lhs, const Vector<T, Sz>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME< POD, T>, \ + XprLiteral< POD >, \ + VectorConstReference<T, Sz> \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(XprLiteral< POD >(lhs), rhs.const_ref())); \ +} + +TVMET_IMPLEMENT_MACRO(add, int) +TVMET_IMPLEMENT_MACRO(sub, int) +TVMET_IMPLEMENT_MACRO(mul, int) +TVMET_IMPLEMENT_MACRO(div, int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_IMPLEMENT_MACRO(add, long long int) +TVMET_IMPLEMENT_MACRO(sub, long long int) +TVMET_IMPLEMENT_MACRO(mul, long long int) +TVMET_IMPLEMENT_MACRO(div, long long int) +#endif + +TVMET_IMPLEMENT_MACRO(add, float) +TVMET_IMPLEMENT_MACRO(sub, float) +TVMET_IMPLEMENT_MACRO(mul, float) +TVMET_IMPLEMENT_MACRO(div, float) + +TVMET_IMPLEMENT_MACRO(add, double) +TVMET_IMPLEMENT_MACRO(sub, double) +TVMET_IMPLEMENT_MACRO(mul, double) +TVMET_IMPLEMENT_MACRO(div, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_IMPLEMENT_MACRO(add, long double) +TVMET_IMPLEMENT_MACRO(sub, long double) +TVMET_IMPLEMENT_MACRO(mul, long double) +TVMET_IMPLEMENT_MACRO(div, long double) +#endif + +#undef TVMET_IMPLEMENT_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * function(Vector<std::complex<T>, Sz>, std::complex<T>) + * function(std::complex<T>, Vector<std::complex<T>, Sz>) + * Note: per se element wise + * \todo type promotion + */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + VectorConstReference< std::complex<T>, Sz>, \ + XprLiteral< std::complex<T> > \ + >, \ + Sz \ +> \ +NAME (const Vector<std::complex<T>, Sz>& lhs, const std::complex<T>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + VectorConstReference< std::complex<T>, Sz>, \ + XprLiteral< std::complex<T> > \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(lhs.const_ref(), XprLiteral< std::complex<T> >(rhs))); \ +} \ + \ +template<class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + XprLiteral< std::complex<T> >, \ + VectorConstReference< std::complex<T>, Sz> \ + >, \ + Sz \ +> \ +NAME (const std::complex<T>& lhs, const Vector< std::complex<T>, Sz>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + XprLiteral< std::complex<T> >, \ + VectorConstReference< std::complex<T>, Sz> \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(XprLiteral< std::complex<T> >(lhs), rhs.const_ref())); \ +} + +TVMET_IMPLEMENT_MACRO(add) +TVMET_IMPLEMENT_MACRO(sub) +TVMET_IMPLEMENT_MACRO(mul) +TVMET_IMPLEMENT_MACRO(div) + +#undef TVMET_IMPLEMENT_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * vector specific functions + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/** + * \fn sum(const Vector<T, Sz>& v) + * \brief Compute the sum of the vector. + * \ingroup _unary_function + * + * Simply compute the sum of the given vector as: + * \f[ + * \sum_{i = 0}^{Sz-1} v[i] + * \f] + */ +template<class T, std::size_t Sz> +inline +typename NumericTraits<T>::sum_type +sum(const Vector<T, Sz>& v) { + return meta::Vector<Sz>::sum(v); +} + + +/** + * \fn product(const Vector<T, Sz>& v) + * \brief Compute the product of the vector elements. + * \ingroup _unary_function + * + * Simply computer the product of the given vector as: + * \f[ + * \prod_{i = 0}^{Sz - 1} v[i] + * \f] + */ +template<class T, std::size_t Sz> +inline +typename NumericTraits<T>::sum_type +product(const Vector<T, Sz>& v) { + return meta::Vector<Sz>::product(v); +} + + +/** + * \fn dot(const Vector<T1, Sz>& lhs, const Vector<T2, Sz>& rhs) + * \brief Compute the dot/inner product + * \ingroup _binary_function + * + * Compute the dot product as: + * \f[ + * \sum_{i = 0}^{Sz - 1} ( lhs[i] * rhs[i] ) + * \f] + * where lhs is a column vector and rhs is a row vector, both vectors + * have the same dimension. + */ +template<class T1, class T2, std::size_t Sz> +inline +typename PromoteTraits<T1, T2>::value_type +dot(const Vector<T1, Sz>& lhs, const Vector<T2, Sz>& rhs) { + return meta::Vector<Sz>::dot(lhs, rhs); +} + + +/** + * \fn cross(const Vector<T1, 3>& lhs, const Vector<T2, 3>& rhs) + * \brief Compute the cross/outer product + * \ingroup _binary_function + * \note working only for vectors of size = 3 + * \todo Implement vector outer product as ET and MT, returning a XprVector + */ +template<class T1, class T2> +inline +Vector<typename PromoteTraits<T1, T2>::value_type, 3> +cross(const Vector<T1, 3>& lhs, const Vector<T2, 3>& rhs) { + typedef typename PromoteTraits<T1, T2>::value_type value_type; + return Vector<value_type, 3>(lhs(1)*rhs(2) - rhs(1)*lhs(2), + rhs(0)*lhs(2) - lhs(0)*rhs(2), + lhs(0)*rhs(1) - rhs(0)*lhs(1)); +} + + +/** + * \fn norm1(const Vector<T, Sz>& v) + * \brief The \f$l_1\f$ norm of a vector v. + * \ingroup _unary_function + * The norm of any vector is just the square root of the dot product of + * a vector with itself, or + * + * \f[ + * |Vector<T, Sz> v| = |v| = \sum_{i=0}^{Sz-1}\,|v[i]| + * \f] + */ +template<class T, std::size_t Sz> +inline +typename NumericTraits<T>::sum_type +norm1(const Vector<T, Sz>& v) { + return sum(abs(v)); +} + + +/** + * \fn norm2(const Vector<T, Sz>& v) + * \brief The euklidian norm (or \f$l_2\f$ norm) of a vector v. + * \ingroup _unary_function + * The norm of any vector is just the square root of the dot product of + * a vector with itself, or + * + * \f[ + * |Vector<T, Sz> v| = |v| = \sqrt{ \sum_{i=0}^{Sz-1}\,v[i]^2 } + * \f] + * + * \note The internal cast for Vector<int> avoids warnings on sqrt. + */ +template<class T, std::size_t Sz> +inline +typename NumericTraits<T>::sum_type +norm2(const Vector<T, Sz>& v) { + return static_cast<T>( std::sqrt(static_cast<typename NumericTraits<T>::float_type>(dot(v, v))) ); +} + + +/** + * \fn normalize(const Vector<T, Sz>& v) + * \brief Normalize the given vector. + * \ingroup _unary_function + * \sa norm2 + * + * using the equation: + * \f[ + * \frac{Vector<T, Sz> v}{\sqrt{ \sum_{i=0}^{Sz-1}\,v[i]^2 }} + * \f] + */ +template<class T, std::size_t Sz> +inline +XprVector< + XprBinOp< + Fcnl_div<T, T>, + VectorConstReference<T, Sz>, + XprLiteral< T > + >, + Sz +> +normalize(const Vector<T, Sz>& v) { + typedef XprBinOp< + Fcnl_div<T, T>, + VectorConstReference<T, Sz>, + XprLiteral< T > + > expr_type; + return XprVector<expr_type, Sz>( + expr_type(v.const_ref(), XprLiteral< T >(norm2(v)))); +} + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * min/max unary functions + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/** + * \fn maximum(const XprVector<E, Sz>& e) + * \brief Find the maximum of a vector expression + * \ingroup _unary_function + */ +template<class E, std::size_t Sz> +inline +Extremum<typename E::value_type, std::size_t, vector_tag> +maximum(const XprVector<E, Sz>& e) { + typedef typename E::value_type value_type; + + value_type m_max(e(0)); + std::size_t m_idx(0); + + // this loop is faster than meta templates! + for(std::size_t i = 1; i != Sz; ++i) { + if(e(i) > m_max) { + m_max = e(i); + m_idx = i; + } + } + + return Extremum<value_type, std::size_t, vector_tag>(m_max, m_idx); +} + + +/** + * \fn maximum(const Vector<T, Sz>& v) + * \brief Find the maximum of a vector + * \ingroup _unary_function + */ +template<class T, std::size_t Sz> +inline +Extremum<T, std::size_t, vector_tag> +maximum(const Vector<T, Sz>& v) { return maximum(v.as_expr()); } + + +/** + * \fn minimum(const XprVector<E, Sz>& e) + * \brief Find the minimum of a vector expression + * \ingroup _unary_function + */ +template<class E, std::size_t Sz> +inline +Extremum<typename E::value_type, std::size_t, vector_tag> +minimum(const XprVector<E, Sz>& e) { + typedef typename E::value_type value_type; + + value_type m_min(e(0)); + std::size_t m_idx(0); + + // this loop is faster than meta templates! + for(std::size_t i = 1; i != Sz; ++i) { + if(e(i) < m_min) { + m_min = e(i); + m_idx = i; + } + } + + return Extremum<value_type, std::size_t, vector_tag>(m_min, m_idx); +} + + +/** + * \fn minimum(const Vector<T, Sz>& v) + * \brief Find the minimum of a vector + * \ingroup _unary_function + */ +template<class T, std::size_t Sz> +inline +Extremum<T, std::size_t, vector_tag> +minimum(const Vector<T, Sz>& v) { return minimum(v.as_expr()); } + + +/** + * \fn max(const XprVector<E, Sz>& e) + * \brief Find the maximum of a vector expression + * \ingroup _unary_function + */ +template<class E, std::size_t Sz> +inline +typename E::value_type +max(const XprVector<E, Sz>& e) { + typedef typename E::value_type value_type; + + value_type m_max(e(0)); + + // this loop is faster than meta templates! + for(std::size_t i = 1; i != Sz; ++i) + if(e(i) > m_max) + m_max = e(i); + + return m_max; +} + + +/** + * \fn max(const Vector<T, Sz>& v) + * \brief Find the maximum of a vector + * \ingroup _unary_function + */ +template<class T, std::size_t Sz> +inline +T max(const Vector<T, Sz>& v) { + typedef T value_type; + typedef typename Vector<T, Sz>::const_iterator const_iterator; + + const_iterator iter(v.begin()); + const_iterator last(v.end()); + value_type temp(*iter); + + for( ; iter != last; ++iter) + if(*iter > temp) + temp = *iter; + + return temp; +} + + +/** + * \fn min(const XprVector<E, Sz>& e) + * \brief Find the minimum of a vector expression + * \ingroup _unary_function + */ +template<class E, std::size_t Sz> +inline +typename E::value_type +min(const XprVector<E, Sz>& e) { + typedef typename E::value_type value_type; + + value_type m_min(e(0)); + + // this loop is faster than meta templates! + for(std::size_t i = 1; i != Sz; ++i) + if(e(i) < m_min) + m_min = e(i); + + return m_min; +} + + +/** + * \fn min(const Vector<T, Sz>& v) + * \brief Find the minimum of a vector + * \ingroup _unary_function + */ +template<class T, std::size_t Sz> +inline +T min(const Vector<T, Sz>& v) { + typedef T value_type; + typedef typename Vector<T, Sz>::const_iterator const_iterator; + + const_iterator iter(v.begin()); + const_iterator last(v.end()); + value_type temp(*iter); + + for( ; iter != last; ++iter) + if(*iter < temp) + temp = *iter; + + return temp; +} + + +/** + * \fn cvector_ref(const T* mem) + * \brief Creates an expression wrapper for a C like vector arrays. + * \ingroup _unary_function + * + * This is like creating a vector of external data, as described + * at \ref construct. With this function you wrap an expression + * around a C style vector array and you can operate directly with it + * as usual. + * + * \par Example: + * \code + * static float vertices[N][3] = { + * {-1, 0, 1}, { 1, 0, 1}, ... + * }; + * ... + * typedef Vector<float, 3> vector_type; + * ... + * vector_type V( cross(cvector_ref<float, 3>(&vertices[0][0]), + * cvector_ref<float, 3>(&vertices[1][0])) ); + * \endcode + * + * \since release 1.6.0 + */ +template<class T, std::size_t Sz> +inline +XprVector< + VectorConstReference<T, Sz>, + Sz +> +cvector_ref(const T* mem) { + typedef VectorConstReference<T, Sz> expr_type; + + return XprVector<expr_type, Sz>(expr_type(mem)); +} + + +} // namespace tvmet + +#endif // TVMET_VECTOR_FUNCTIONS_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/VectorImpl.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,210 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * lesser General Public License for more details. + * + * You should have received a copy of the GNU lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: VectorImpl.h,v 1.31 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_VECTOR_IMPL_H +#define TVMET_VECTOR_IMPL_H + +#include <iomanip> // setw + +#include <tvmet/Functional.h> +#include <tvmet/Io.h> + + +namespace tvmet { + + +/* + * member operators for i/o + */ +template<class T, std::size_t Sz> +std::ostream& Vector<T, Sz>::print_xpr(std::ostream& os, std::size_t l) const +{ + os << IndentLevel(l++) << "Vector[" << ops << "]<" + << typeid(T).name() << ", " << Size << ">," + << IndentLevel(--l) + << std::endl; + + return os; +} + + +template<class T, std::size_t Sz> +std::ostream& Vector<T, Sz>::print_on(std::ostream& os) const +{ + enum { + complex_type = NumericTraits<value_type>::is_complex + }; + + std::streamsize w = IoPrintHelper<Vector>::width(dispatch<complex_type>(), *this); + + os << std::setw(0) << "[\n "; + for(std::size_t i = 0; i < (Size - 1); ++i) { + os << std::setw(w) << m_data[i] << ", "; + } + os << std::setw(w) << m_data[Size - 1] << "\n]"; + + return os; +} + + +/* + * member operators with scalars, per se element wise + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template<class T, std::size_t Sz> \ +inline \ +Vector<T, Sz>& Vector<T, Sz>::operator OP (value_type rhs) { \ + typedef XprLiteral<value_type> expr_type; \ + this->M_##NAME(XprVector<expr_type, Size>(expr_type(rhs))); \ + return *this; \ +} + +TVMET_IMPLEMENT_MACRO(add_eq, +=) +TVMET_IMPLEMENT_MACRO(sub_eq, -=) +TVMET_IMPLEMENT_MACRO(mul_eq, *=) +TVMET_IMPLEMENT_MACRO(div_eq, /=) +#undef TVMET_IMPLEMENT_MACRO + + +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template<class T, std::size_t Sz> \ +inline \ +Vector<T, Sz>& Vector<T, Sz>::operator OP (std::size_t rhs) { \ + typedef XprLiteral<value_type> expr_type; \ + this->M_##NAME(XprVector<expr_type, Size>(expr_type(rhs))); \ + return *this; \ +} + +TVMET_IMPLEMENT_MACRO(mod_eq, %=) +TVMET_IMPLEMENT_MACRO(xor_eq,^=) +TVMET_IMPLEMENT_MACRO(and_eq, &=) +TVMET_IMPLEMENT_MACRO(or_eq, |=) +TVMET_IMPLEMENT_MACRO(shl_eq, <<=) +TVMET_IMPLEMENT_MACRO(shr_eq, >>=) +#undef TVMET_IMPLEMENT_MACRO + + +/* + * member functions (operators) with vectors, for use with +=,-= ... <<= + */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class T1, std::size_t Sz> \ +template <class T2> \ +inline Vector<T1, Sz>& \ +Vector<T1, Sz>::M_##NAME (const Vector<T2, Size>& rhs) { \ + this->M_##NAME( XprVector<typename Vector<T2, Size>::ConstReference, Size>(rhs.const_ref()) ); \ + return *this; \ +} + +TVMET_IMPLEMENT_MACRO(add_eq) +TVMET_IMPLEMENT_MACRO(sub_eq) +TVMET_IMPLEMENT_MACRO(mul_eq) +TVMET_IMPLEMENT_MACRO(div_eq) +TVMET_IMPLEMENT_MACRO(mod_eq) +TVMET_IMPLEMENT_MACRO(xor_eq) +TVMET_IMPLEMENT_MACRO(and_eq) +TVMET_IMPLEMENT_MACRO(or_eq) +TVMET_IMPLEMENT_MACRO(shl_eq) +TVMET_IMPLEMENT_MACRO(shr_eq) +#undef TVMET_IMPLEMENT_MACRO + + +/* + * member functions (operators) with expressions, for use width +=,-= ... <<= + */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class T, std::size_t Sz> \ +template <class E> \ +inline \ +Vector<T, Sz>& \ +Vector<T, Sz>::M_##NAME (const XprVector<E, Size>& rhs) { \ + rhs.assign_to(*this, Fcnl_##NAME<value_type, typename E::value_type>()); \ + return *this; \ +} + +TVMET_IMPLEMENT_MACRO(add_eq) +TVMET_IMPLEMENT_MACRO(sub_eq) +TVMET_IMPLEMENT_MACRO(mul_eq) +TVMET_IMPLEMENT_MACRO(div_eq) +TVMET_IMPLEMENT_MACRO(mod_eq) +TVMET_IMPLEMENT_MACRO(xor_eq) +TVMET_IMPLEMENT_MACRO(and_eq) +TVMET_IMPLEMENT_MACRO(or_eq) +TVMET_IMPLEMENT_MACRO(shl_eq) +TVMET_IMPLEMENT_MACRO(shr_eq) +#undef TVMET_IMPLEMENT_MACRO + + +/* + * aliased member functions (operators) with vectors, + * for use with +=,-= ... <<= + */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class T1, std::size_t Sz> \ +template <class T2> \ +inline \ +Vector<T1, Sz>& \ +Vector<T1, Sz>::alias_##NAME (const Vector<T2, Size>& rhs) { \ + this->alias_##NAME( XprVector<typename Vector<T2, Size>::ConstReference, Size>(rhs.const_ref()) ); \ + return *this; \ +} + +TVMET_IMPLEMENT_MACRO(assign) +TVMET_IMPLEMENT_MACRO(add_eq) +TVMET_IMPLEMENT_MACRO(sub_eq) +TVMET_IMPLEMENT_MACRO(mul_eq) +TVMET_IMPLEMENT_MACRO(div_eq) +#undef TVMET_IMPLEMENT_MACRO + + +/* + * aliased member functions (operators) with expressions, + * for use width +=,-= ... <<= + */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class T, std::size_t Sz> \ +template <class E> \ +inline \ +Vector<T, Sz>& \ +Vector<T, Sz>::alias_##NAME (const XprVector<E, Size>& rhs) { \ + typedef Vector<T, Sz> temp_type; \ + temp_type(rhs).assign_to(*this, Fcnl_##NAME<value_type, typename E::value_type>()); \ + return *this; \ +} + +TVMET_IMPLEMENT_MACRO(assign) +TVMET_IMPLEMENT_MACRO(add_eq) +TVMET_IMPLEMENT_MACRO(sub_eq) +TVMET_IMPLEMENT_MACRO(mul_eq) +TVMET_IMPLEMENT_MACRO(div_eq) +#undef TVMET_IMPLEMENT_MACRO + + +} // namespace tvmet + +#endif // TVMET_VECTOR_IMPL_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/VectorOperators.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,1055 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * lesser General Public License for more details. + * + * You should have received a copy of the GNU lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: VectorOperators.h,v 1.18 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_VECTOR_OPERATORS_H +#define TVMET_VECTOR_OPERATORS_H + +namespace tvmet { + + +/********************************************************* + * PART I: DECLARATION + *********************************************************/ + + +template<class T, std::size_t Sz> +inline +std::ostream& operator<<(std::ostream& os, + const Vector<T, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Member operators (arithmetic and bit ops) + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * update_operator(Vector<T1, Sz>, Vector<T2, Sz>) + * update_operator(Vector<T1, Sz>, XprVector<E, Sz>) + * Note: per se element wise + */ +#define TVMET_DECLARE_MACRO(NAME, OP) \ +template<class T1, class T2, std::size_t Sz> \ +Vector<T1, Sz>& \ +operator OP (Vector<T1, Sz>& lhs, \ + const Vector<T2, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class T, class E, std::size_t Sz> \ +Vector<T, Sz>& \ +operator OP (Vector<T, Sz>& lhs, \ + const XprVector<E, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(add_eq, +=) // per se element wise +TVMET_DECLARE_MACRO(sub_eq, -=) // per se element wise +TVMET_DECLARE_MACRO(mul_eq, *=) // per se element wise +namespace element_wise { + TVMET_DECLARE_MACRO(div_eq, /=) // not defined for vectors +} + +// integer operators only, e.g used on double you wil get an error +namespace element_wise { + TVMET_DECLARE_MACRO(mod_eq, %=) + TVMET_DECLARE_MACRO(xor_eq, ^=) + TVMET_DECLARE_MACRO(and_eq, &=) + TVMET_DECLARE_MACRO(or_eq, |=) + TVMET_DECLARE_MACRO(shl_eq, <<=) + TVMET_DECLARE_MACRO(shr_eq, >>=) +} + +#undef TVMET_DECLARE_MACRO + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Vector arithmetic operators implemented by functions + * add, sub, mul and div + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * operator(Vector<T1, Sz>, Vector<T2, Sz>) + * operator(Vector<T1, Sz>, XprVector<E, Sz>) + * operator(XprVector<E, Sz>, Vector<T1, Sz>) + */ +#define TVMET_DECLARE_MACRO(NAME, OP) \ +template<class T1, class T2, std::size_t Sz> \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<T1, T2>, \ + VectorConstReference<T1, Sz>, \ + VectorConstReference<T2, Sz> \ + >, \ + Sz \ +> \ +operator OP (const Vector<T1, Sz>& lhs, \ + const Vector<T2, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class E, class T, std::size_t Sz> \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + XprVector<E, Sz>, \ + VectorConstReference<T, Sz> \ + >, \ + Sz \ +> \ +operator OP (const XprVector<E, Sz>& lhs, \ + const Vector<T, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class E, class T, std::size_t Sz> \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<T, typename E::value_type>, \ + VectorConstReference<T, Sz>, \ + XprVector<E, Sz> \ + >, \ + Sz \ +> \ +operator OP (const Vector<T, Sz>& lhs, \ + const XprVector<E, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(add, +) // per se element wise +TVMET_DECLARE_MACRO(sub, -) // per se element wise +TVMET_DECLARE_MACRO(mul, *) // per se element wise +namespace element_wise { + TVMET_DECLARE_MACRO(div, /) // not defined for vectors +} + +#undef TVMET_DECLARE_MACRO + + +/* + * operator(Vector<T, Sz>, POD) + * operator(POD, Vector<T, Sz>) + * Note: operations +,-,*,/ are per se element wise + */ +#define TVMET_DECLARE_MACRO(NAME, OP, POD) \ +template<class T, std::size_t Sz> \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< T, POD >, \ + VectorConstReference<T, Sz>, \ + XprLiteral< POD > \ + >, \ + Sz \ +> \ +operator OP (const Vector<T, Sz>& lhs, \ + POD rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class T, std::size_t Sz> \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< POD, T>, \ + XprLiteral< POD >, \ + VectorConstReference<T, Sz> \ + >, \ + Sz \ +> \ +operator OP (POD lhs, \ + const Vector<T, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(add, +, int) +TVMET_DECLARE_MACRO(sub, -, int) +TVMET_DECLARE_MACRO(mul, *, int) +TVMET_DECLARE_MACRO(div, /, int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_DECLARE_MACRO(add, +, long long int) +TVMET_DECLARE_MACRO(sub, -, long long int) +TVMET_DECLARE_MACRO(mul, *, long long int) +TVMET_DECLARE_MACRO(div, /, long long int) +#endif + +TVMET_DECLARE_MACRO(add, +, float) +TVMET_DECLARE_MACRO(sub, -, float) +TVMET_DECLARE_MACRO(mul, *, float) +TVMET_DECLARE_MACRO(div, /, float) + +TVMET_DECLARE_MACRO(add, +, double) +TVMET_DECLARE_MACRO(sub, -, double) +TVMET_DECLARE_MACRO(mul, *, double) +TVMET_DECLARE_MACRO(div, /, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_DECLARE_MACRO(add, +, long double) +TVMET_DECLARE_MACRO(sub, -, long double) +TVMET_DECLARE_MACRO(mul, *, long double) +TVMET_DECLARE_MACRO(div, /, long double) +#endif + +#undef TVMET_DECLARE_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * operator(Vector<std::complex<T>, Sz>, std::complex<T>) + * operator(std::complex<T>, Vector<std::complex<T>, Sz>) + * Note: operations +,-,*,/ are per se element wise + * \todo type promotion + */ +#define TVMET_DECLARE_MACRO(NAME, OP) \ +template<class T, std::size_t Sz> \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + VectorConstReference< std::complex<T>, Sz>, \ + XprLiteral< std::complex<T> > \ + >, \ + Sz \ +> \ +operator OP (const Vector<std::complex<T>, Sz>& lhs, \ + const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class T, std::size_t Sz> \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + XprLiteral< std::complex<T> >, \ + VectorConstReference< std::complex<T>, Sz> \ + >, \ + Sz \ +> \ +operator OP (const std::complex<T>& lhs, \ + const Vector< std::complex<T>, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(add, +) // per se element wise +TVMET_DECLARE_MACRO(sub, -) // per se element wise +TVMET_DECLARE_MACRO(mul, *) // per se element wise +TVMET_DECLARE_MACRO(div, /) // per se element wise +#undef TVMET_DECLARE_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Vector integer and compare operators + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * operator(Vector<T1, Sz>, Vector<T2, Sz>) + * operator(XprVector<E, Sz>, Vector<T, Sz>) + * operator(Vector<T, Sz>, XprVector<E, Sz>) + * Note: operations are per se element wise + */ +#define TVMET_DECLARE_MACRO(NAME, OP) \ +template<class T1, class T2, std::size_t Sz> \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<T1, T2>, \ + VectorConstReference<T1, Sz>, \ + VectorConstReference<T2, Sz> \ + >, \ + Sz \ +> \ +operator OP (const Vector<T1, Sz>& lhs, \ + const Vector<T2, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class E, class T, std::size_t Sz> \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + XprVector<E, Sz>, \ + VectorConstReference<T, Sz> \ + >, \ + Sz \ +> \ +operator OP (const XprVector<E, Sz>& lhs, \ + const Vector<T, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class E, class T, std::size_t Sz> \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<T, typename E::value_type>, \ + VectorConstReference<T, Sz>, \ + XprVector<E, Sz> \ + >, \ + Sz \ +> \ +operator OP (const Vector<T, Sz>& lhs, \ + const XprVector<E, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + +// integer operators only, e.g used on double you wil get an error +namespace element_wise { + TVMET_DECLARE_MACRO(mod, %) + TVMET_DECLARE_MACRO(bitxor, ^) + TVMET_DECLARE_MACRO(bitand, &) + TVMET_DECLARE_MACRO(bitor, |) + TVMET_DECLARE_MACRO(shl, <<) + TVMET_DECLARE_MACRO(shr, >>) +} + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >) +TVMET_DECLARE_MACRO(less, <) +TVMET_DECLARE_MACRO(greater_eq, >=) +TVMET_DECLARE_MACRO(less_eq, <=) +TVMET_DECLARE_MACRO(eq, ==) +TVMET_DECLARE_MACRO(not_eq, !=) +TVMET_DECLARE_MACRO(and, &&) +TVMET_DECLARE_MACRO(or, ||) + +#undef TVMET_DECLARE_MACRO + + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * operator(Vector<std::complex<T>, Sz>, std::complex<T>) + * operator(std::complex<T>, Vector<std::complex<T>, Sz>) + * Note: - per se element wise + * - bit ops on complex<int> doesn't make sense, stay away + * \todo type promotion + */ +#define TVMET_DECLARE_MACRO(NAME, OP) \ +template<class T, std::size_t Sz> \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + VectorConstReference< std::complex<T>, Sz>, \ + XprLiteral< std::complex<T> > \ + >, \ + Sz \ +> \ +operator OP (const Vector<std::complex<T>, Sz>& lhs, \ + const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class T, std::size_t Sz> \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + XprLiteral< std::complex<T> >, \ + VectorConstReference< std::complex<T>, Sz> \ + >, \ + Sz \ +> \ +operator OP (const std::complex<T>& lhs, \ + const Vector< std::complex<T>, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >) +TVMET_DECLARE_MACRO(less, <) +TVMET_DECLARE_MACRO(greater_eq, >=) +TVMET_DECLARE_MACRO(less_eq, <=) +TVMET_DECLARE_MACRO(eq, ==) +TVMET_DECLARE_MACRO(not_eq, !=) +TVMET_DECLARE_MACRO(and, &&) +TVMET_DECLARE_MACRO(or, ||) + +#undef TVMET_DECLARE_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/* + * operator(Vector<T, Sz>, POD) + * operator(POD, Vector<T, Sz>) + * Note: operations are per se element_wise + */ +#define TVMET_DECLARE_MACRO(NAME, OP, TP) \ +template<class T, std::size_t Sz> \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< T, TP >, \ + VectorConstReference<T, Sz>, \ + XprLiteral< TP > \ + >, \ + Sz \ +> \ +operator OP (const Vector<T, Sz>& lhs, TP rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class T, std::size_t Sz> \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< TP, T>, \ + XprLiteral< TP >, \ + VectorConstReference<T, Sz> \ + >, \ + Sz \ +> \ +operator OP (TP lhs, const Vector<T, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + +// integer operators only, e.g used on double you wil get an error +namespace element_wise { + TVMET_DECLARE_MACRO(mod, %, int) + TVMET_DECLARE_MACRO(bitxor, ^, int) + TVMET_DECLARE_MACRO(bitand, &, int) + TVMET_DECLARE_MACRO(bitor, |, int) + TVMET_DECLARE_MACRO(shl, <<, int) + TVMET_DECLARE_MACRO(shr, >>, int) +} + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >, int) +TVMET_DECLARE_MACRO(less, <, int) +TVMET_DECLARE_MACRO(greater_eq, >=, int) +TVMET_DECLARE_MACRO(less_eq, <=, int) +TVMET_DECLARE_MACRO(eq, ==, int) +TVMET_DECLARE_MACRO(not_eq, !=, int) +TVMET_DECLARE_MACRO(and, &&, int) +TVMET_DECLARE_MACRO(or, ||, int) + +#if defined(TVMET_HAVE_LONG_LONG) +// integer operators only +namespace element_wise { + TVMET_DECLARE_MACRO(mod, %, long long int) + TVMET_DECLARE_MACRO(bitxor, ^, long long int) + TVMET_DECLARE_MACRO(bitand, &, long long int) + TVMET_DECLARE_MACRO(bitor, |, long long int) + TVMET_DECLARE_MACRO(shl, <<, long long int) + TVMET_DECLARE_MACRO(shr, >>, long long int) +} + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >, long long int) +TVMET_DECLARE_MACRO(less, <, long long int) +TVMET_DECLARE_MACRO(greater_eq, >=, long long int) +TVMET_DECLARE_MACRO(less_eq, <=, long long int) +TVMET_DECLARE_MACRO(eq, ==, long long int) +TVMET_DECLARE_MACRO(not_eq, !=, long long int) +TVMET_DECLARE_MACRO(and, &&, long long int) +TVMET_DECLARE_MACRO(or, ||, long long int) +#endif // defined(TVMET_HAVE_LONG_LONG) + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >, float) +TVMET_DECLARE_MACRO(less, <, float) +TVMET_DECLARE_MACRO(greater_eq, >=, float) +TVMET_DECLARE_MACRO(less_eq, <=, float) +TVMET_DECLARE_MACRO(eq, ==, float) +TVMET_DECLARE_MACRO(not_eq, !=, float) +TVMET_DECLARE_MACRO(and, &&, float) +TVMET_DECLARE_MACRO(or, ||, float) + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >, double) +TVMET_DECLARE_MACRO(less, <, double) +TVMET_DECLARE_MACRO(greater_eq, >=, double) +TVMET_DECLARE_MACRO(less_eq, <=, double) +TVMET_DECLARE_MACRO(eq, ==, double) +TVMET_DECLARE_MACRO(not_eq, !=, double) +TVMET_DECLARE_MACRO(and, &&, double) +TVMET_DECLARE_MACRO(or, ||, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >, long double) +TVMET_DECLARE_MACRO(less, <, long double) +TVMET_DECLARE_MACRO(greater_eq, >=, long double) +TVMET_DECLARE_MACRO(less_eq, <=, long double) +TVMET_DECLARE_MACRO(eq, ==, long double) +TVMET_DECLARE_MACRO(not_eq, !=, long double) +TVMET_DECLARE_MACRO(and, &&, long double) +TVMET_DECLARE_MACRO(or, ||, long double) +#endif // defined(TVMET_HAVE_LONG_DOUBLE) + +#undef TVMET_DECLARE_MACRO + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * global unary operators + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * unary_operator(Vector<T, Sz>) + * Note: per se element wise + */ +#define TVMET_DECLARE_MACRO(NAME, OP) \ +template <class T, std::size_t Sz> \ +XprVector< \ + XprUnOp< \ + Fcnl_##NAME<T>, \ + VectorConstReference<T, Sz> \ + >, \ + Sz \ +> \ +operator OP (const Vector<T, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(not, !) +TVMET_DECLARE_MACRO(compl, ~) +TVMET_DECLARE_MACRO(neg, -) +#undef TVMET_DECLARE_MACRO + + +/********************************************************* + * PART II: IMPLEMENTATION + *********************************************************/ + + +/** + * \fn operator<<(std::ostream& os, const Vector<T, Sz>& rhs) + * \brief Overload operator for i/o + * \ingroup _binary_operator + */ +template<class T, std::size_t Sz> +inline +std::ostream& operator<<(std::ostream& os, const Vector<T, Sz>& rhs) { + return rhs.print_on(os); +} + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Member operators (arithmetic and bit ops) + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * update_operator(Vector<T1, Sz>, Vector<T2, Sz>) + * update_operator(Vector<T1, Sz>, XprVector<E, Sz>) + * Note: per se element wise + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template<class T1, class T2, std::size_t Sz> \ +inline Vector<T1, Sz>& \ +operator OP (Vector<T1, Sz>& lhs, const Vector<T2, Sz>& rhs) { \ + return lhs.M_##NAME(rhs); \ +} \ + \ +template<class T, class E, std::size_t Sz> \ +inline Vector<T, Sz>& \ +operator OP (Vector<T, Sz>& lhs, const XprVector<E, Sz>& rhs) { \ + return lhs.M_##NAME(rhs); \ +} + +TVMET_IMPLEMENT_MACRO(add_eq, +=) // per se element wise +TVMET_IMPLEMENT_MACRO(sub_eq, -=) // per se element wise +TVMET_IMPLEMENT_MACRO(mul_eq, *=) // per se element wise +namespace element_wise { + TVMET_IMPLEMENT_MACRO(div_eq, /=) // not defined for vectors +} + +// integer operators only, e.g used on double you wil get an error +namespace element_wise { + TVMET_IMPLEMENT_MACRO(mod_eq, %=) + TVMET_IMPLEMENT_MACRO(xor_eq, ^=) + TVMET_IMPLEMENT_MACRO(and_eq, &=) + TVMET_IMPLEMENT_MACRO(or_eq, |=) + TVMET_IMPLEMENT_MACRO(shl_eq, <<=) + TVMET_IMPLEMENT_MACRO(shr_eq, >>=) +} + +#undef TVMET_IMPLEMENT_MACRO + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Vector arithmetic operators implemented by functions + * add, sub, mul and div + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * operator(Vector<T1, Sz>, Vector<T2, Sz>) + * operator(Vector<T1, Sz>, XprVector<E, Sz>) + * operator(XprVector<E, Sz>, Vector<T1, Sz>) + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template<class T1, class T2, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<T1, T2>, \ + VectorConstReference<T1, Sz>, \ + VectorConstReference<T2, Sz> \ + >, \ + Sz \ +> \ +operator OP (const Vector<T1, Sz>& lhs, const Vector<T2, Sz>& rhs) { \ + return NAME (lhs, rhs); \ +} \ + \ +template<class E, class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + XprVector<E, Sz>, \ + VectorConstReference<T, Sz> \ + >, \ + Sz \ +> \ +operator OP (const XprVector<E, Sz>& lhs, const Vector<T, Sz>& rhs) { \ + return NAME (lhs, rhs); \ +} \ + \ +template<class E, class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<T, typename E::value_type>, \ + VectorConstReference<T, Sz>, \ + XprVector<E, Sz> \ + >, \ + Sz \ +> \ +operator OP (const Vector<T, Sz>& lhs, const XprVector<E, Sz>& rhs) { \ + return NAME (lhs, rhs); \ +} + +TVMET_IMPLEMENT_MACRO(add, +) // per se element wise +TVMET_IMPLEMENT_MACRO(sub, -) // per se element wise +TVMET_IMPLEMENT_MACRO(mul, *) // per se element wise +namespace element_wise { + TVMET_IMPLEMENT_MACRO(div, /) // not defined for vectors +} + +#undef TVMET_IMPLEMENT_MACRO + + +/* + * operator(Vector<T, Sz>, POD) + * operator(POD, Vector<T, Sz>) + * Note: operations +,-,*,/ are per se element wise + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP, POD) \ +template<class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< T, POD >, \ + VectorConstReference<T, Sz>, \ + XprLiteral< POD > \ + >, \ + Sz \ +> \ +operator OP (const Vector<T, Sz>& lhs, POD rhs) { \ + return NAME (lhs, rhs); \ +} \ + \ +template<class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< POD, T>, \ + XprLiteral< POD >, \ + VectorConstReference<T, Sz> \ + >, \ + Sz \ +> \ +operator OP (POD lhs, const Vector<T, Sz>& rhs) { \ + return NAME (lhs, rhs); \ +} + +TVMET_IMPLEMENT_MACRO(add, +, int) +TVMET_IMPLEMENT_MACRO(sub, -, int) +TVMET_IMPLEMENT_MACRO(mul, *, int) +TVMET_IMPLEMENT_MACRO(div, /, int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_IMPLEMENT_MACRO(add, +, long long int) +TVMET_IMPLEMENT_MACRO(sub, -, long long int) +TVMET_IMPLEMENT_MACRO(mul, *, long long int) +TVMET_IMPLEMENT_MACRO(div, /, long long int) +#endif + +TVMET_IMPLEMENT_MACRO(add, +, float) +TVMET_IMPLEMENT_MACRO(sub, -, float) +TVMET_IMPLEMENT_MACRO(mul, *, float) +TVMET_IMPLEMENT_MACRO(div, /, float) + +TVMET_IMPLEMENT_MACRO(add, +, double) +TVMET_IMPLEMENT_MACRO(sub, -, double) +TVMET_IMPLEMENT_MACRO(mul, *, double) +TVMET_IMPLEMENT_MACRO(div, /, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_IMPLEMENT_MACRO(add, +, long double) +TVMET_IMPLEMENT_MACRO(sub, -, long double) +TVMET_IMPLEMENT_MACRO(mul, *, long double) +TVMET_IMPLEMENT_MACRO(div, /, long double) +#endif + +#undef TVMET_IMPLEMENT_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * operator(Vector<std::complex<T>, Sz>, std::complex<T>) + * operator(std::complex<T>, Vector<std::complex<T>, Sz>) + * Note: operations +,-,*,/ are per se element wise + * \todo type promotion + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template<class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + VectorConstReference< std::complex<T>, Sz>, \ + XprLiteral< std::complex<T> > \ + >, \ + Sz \ +> \ +operator OP (const Vector<std::complex<T>, Sz>& lhs, \ + const std::complex<T>& rhs) { \ + return NAME (lhs, rhs); \ +} \ + \ +template<class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + XprLiteral< std::complex<T> >, \ + VectorConstReference< std::complex<T>, Sz> \ + >, \ + Sz \ +> \ +operator OP (const std::complex<T>& lhs, \ + const Vector< std::complex<T>, Sz>& rhs) { \ + return NAME (lhs, rhs); \ +} + +TVMET_IMPLEMENT_MACRO(add, +) // per se element wise +TVMET_IMPLEMENT_MACRO(sub, -) // per se element wise +TVMET_IMPLEMENT_MACRO(mul, *) // per se element wise +TVMET_IMPLEMENT_MACRO(div, /) // per se element wise + +#undef TVMET_IMPLEMENT_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Vector integer and compare operators + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * operator(Vector<T1, Sz>, Vector<T2, Sz>) + * operator(XprVector<E, Sz>, Vector<T, Sz>) + * operator(Vector<T, Sz>, XprVector<E, Sz>) + * Note: operations are per se element wise + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template<class T1, class T2, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<T1, T2>, \ + VectorConstReference<T1, Sz>, \ + VectorConstReference<T2, Sz> \ + >, \ + Sz \ +> \ +operator OP (const Vector<T1, Sz>& lhs, const Vector<T2, Sz>& rhs) { \ + typedef XprBinOp < \ + Fcnl_##NAME<T1, T2>, \ + VectorConstReference<T1, Sz>, \ + VectorConstReference<T2, Sz> \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(lhs.const_ref(), rhs.const_ref())); \ +} \ + \ +template<class E, class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + XprVector<E, Sz>, \ + VectorConstReference<T, Sz> \ + >, \ + Sz \ +> \ +operator OP (const XprVector<E, Sz>& lhs, const Vector<T, Sz>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<typename E::value_type, T>, \ + XprVector<E, Sz>, \ + VectorConstReference<T, Sz> \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(lhs, rhs.const_ref())); \ +} \ + \ +template<class E, class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<T, typename E::value_type>, \ + VectorConstReference<T, Sz>, \ + XprVector<E, Sz> \ + >, \ + Sz \ +> \ +operator OP (const Vector<T, Sz>& lhs, const XprVector<E, Sz>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<T, typename E::value_type>, \ + VectorConstReference<T, Sz>, \ + XprVector<E, Sz> \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(lhs.const_ref(), rhs)); \ +} + +// integer operators only, e.g used on double you wil get an error +namespace element_wise { + TVMET_IMPLEMENT_MACRO(mod, %) + TVMET_IMPLEMENT_MACRO(bitxor, ^) + TVMET_IMPLEMENT_MACRO(bitand, &) + TVMET_IMPLEMENT_MACRO(bitor, |) + TVMET_IMPLEMENT_MACRO(shl, <<) + TVMET_IMPLEMENT_MACRO(shr, >>) +} + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >) +TVMET_IMPLEMENT_MACRO(less, <) +TVMET_IMPLEMENT_MACRO(greater_eq, >=) +TVMET_IMPLEMENT_MACRO(less_eq, <=) +TVMET_IMPLEMENT_MACRO(eq, ==) +TVMET_IMPLEMENT_MACRO(not_eq, !=) +TVMET_IMPLEMENT_MACRO(and, &&) +TVMET_IMPLEMENT_MACRO(or, ||) + +#undef TVMET_IMPLEMENT_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * operator(Vector<std::complex<T>, Sz>, std::complex<T>) + * operator(std::complex<T>, Vector<std::complex<T>, Sz>) + * Note: - per se element wise + * - bit ops on complex<int> doesn't make sense, stay away + * \todo type promotion + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template<class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + VectorConstReference< std::complex<T>, Sz>, \ + XprLiteral< std::complex<T> > \ + >, \ + Sz \ +> \ +operator OP (const Vector<std::complex<T>, Sz>& lhs, const std::complex<T>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + VectorConstReference< std::complex<T>, Sz>, \ + XprLiteral< std::complex<T> > \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(lhs.const_ref(), XprLiteral< std::complex<T> >(rhs))); \ +} \ + \ +template<class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + XprLiteral< std::complex<T> >, \ + VectorConstReference< std::complex<T>, Sz> \ + >, \ + Sz \ +> \ +operator OP (const std::complex<T>& lhs, const Vector< std::complex<T>, Sz>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ + XprLiteral< std::complex<T> >, \ + VectorConstReference< std::complex<T>, Sz> \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(XprLiteral< std::complex<T> >(lhs), rhs.const_ref())); \ +} + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >) +TVMET_IMPLEMENT_MACRO(less, <) +TVMET_IMPLEMENT_MACRO(greater_eq, >=) +TVMET_IMPLEMENT_MACRO(less_eq, <=) +TVMET_IMPLEMENT_MACRO(eq, ==) +TVMET_IMPLEMENT_MACRO(not_eq, !=) +TVMET_IMPLEMENT_MACRO(and, &&) +TVMET_IMPLEMENT_MACRO(or, ||) + +#undef TVMET_IMPLEMENT_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/* + * operator(Vector<T, Sz>, POD) + * operator(POD, Vector<T, Sz>) + * Note: operations are per se element_wise + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP, TP) \ +template<class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< T, TP >, \ + VectorConstReference<T, Sz>, \ + XprLiteral< TP > \ + >, \ + Sz \ +> \ +operator OP (const Vector<T, Sz>& lhs, TP rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<T, TP >, \ + VectorConstReference<T, Sz>, \ + XprLiteral< TP > \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(lhs.const_ref(), XprLiteral< TP >(rhs))); \ +} \ + \ +template<class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< TP, T>, \ + XprLiteral< TP >, \ + VectorConstReference<T, Sz> \ + >, \ + Sz \ +> \ +operator OP (TP lhs, const Vector<T, Sz>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME< TP, T>, \ + XprLiteral< TP >, \ + VectorConstReference<T, Sz> \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(XprLiteral< TP >(lhs), rhs.const_ref())); \ +} + +// integer operators only, e.g used on double you wil get an error +namespace element_wise { + TVMET_IMPLEMENT_MACRO(mod, %, int) + TVMET_IMPLEMENT_MACRO(bitxor, ^, int) + TVMET_IMPLEMENT_MACRO(bitand, &, int) + TVMET_IMPLEMENT_MACRO(bitor, |, int) + TVMET_IMPLEMENT_MACRO(shl, <<, int) + TVMET_IMPLEMENT_MACRO(shr, >>, int) +} + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >, int) +TVMET_IMPLEMENT_MACRO(less, <, int) +TVMET_IMPLEMENT_MACRO(greater_eq, >=, int) +TVMET_IMPLEMENT_MACRO(less_eq, <=, int) +TVMET_IMPLEMENT_MACRO(eq, ==, int) +TVMET_IMPLEMENT_MACRO(not_eq, !=, int) +TVMET_IMPLEMENT_MACRO(and, &&, int) +TVMET_IMPLEMENT_MACRO(or, ||, int) + +#if defined(TVMET_HAVE_LONG_LONG) +// integer operators only +namespace element_wise { + TVMET_IMPLEMENT_MACRO(mod, %, long long int) + TVMET_IMPLEMENT_MACRO(bitxor, ^, long long int) + TVMET_IMPLEMENT_MACRO(bitand, &, long long int) + TVMET_IMPLEMENT_MACRO(bitor, |, long long int) + TVMET_IMPLEMENT_MACRO(shl, <<, long long int) + TVMET_IMPLEMENT_MACRO(shr, >>, long long int) +} + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >, long long int) +TVMET_IMPLEMENT_MACRO(less, <, long long int) +TVMET_IMPLEMENT_MACRO(greater_eq, >=, long long int) +TVMET_IMPLEMENT_MACRO(less_eq, <=, long long int) +TVMET_IMPLEMENT_MACRO(eq, ==, long long int) +TVMET_IMPLEMENT_MACRO(not_eq, !=, long long int) +TVMET_IMPLEMENT_MACRO(and, &&, long long int) +TVMET_IMPLEMENT_MACRO(or, ||, long long int) +#endif // defined(TVMET_HAVE_LONG_LONG) + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >, float) +TVMET_IMPLEMENT_MACRO(less, <, float) +TVMET_IMPLEMENT_MACRO(greater_eq, >=, float) +TVMET_IMPLEMENT_MACRO(less_eq, <=, float) +TVMET_IMPLEMENT_MACRO(eq, ==, float) +TVMET_IMPLEMENT_MACRO(not_eq, !=, float) +TVMET_IMPLEMENT_MACRO(and, &&, float) +TVMET_IMPLEMENT_MACRO(or, ||, float) + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >, double) +TVMET_IMPLEMENT_MACRO(less, <, double) +TVMET_IMPLEMENT_MACRO(greater_eq, >=, double) +TVMET_IMPLEMENT_MACRO(less_eq, <=, double) +TVMET_IMPLEMENT_MACRO(eq, ==, double) +TVMET_IMPLEMENT_MACRO(not_eq, !=, double) +TVMET_IMPLEMENT_MACRO(and, &&, double) +TVMET_IMPLEMENT_MACRO(or, ||, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >, long double) +TVMET_IMPLEMENT_MACRO(less, <, long double) +TVMET_IMPLEMENT_MACRO(greater_eq, >=, long double) +TVMET_IMPLEMENT_MACRO(less_eq, <=, long double) +TVMET_IMPLEMENT_MACRO(eq, ==, long double) +TVMET_IMPLEMENT_MACRO(not_eq, !=, long double) +TVMET_IMPLEMENT_MACRO(and, &&, long double) +TVMET_IMPLEMENT_MACRO(or, ||, long double) +#endif // defined(TVMET_HAVE_LONG_DOUBLE) + +#undef TVMET_IMPLEMENT_MACRO + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * global unary operators + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * unary_operator(Vector<T, Sz>) + * Note: per se element wise + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template <class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprUnOp< \ + Fcnl_##NAME<T>, \ + VectorConstReference<T, Sz> \ + >, \ + Sz \ +> \ +operator OP (const Vector<T, Sz>& rhs) { \ + typedef XprUnOp< \ + Fcnl_##NAME<T>, \ + VectorConstReference<T, Sz> \ + > expr_type; \ + return XprVector<expr_type, Sz>(expr_type(rhs.const_ref())); \ +} + +TVMET_IMPLEMENT_MACRO(not, !) +TVMET_IMPLEMENT_MACRO(compl, ~) +TVMET_IMPLEMENT_MACRO(neg, -) + +#undef TVMET_IMPLEMENT_MACRO + + +} // namespace tvmet + +#endif // TVMET_VECTOR_OPERATORS_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/VectorUnaryFunctions.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,220 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: VectorUnaryFunctions.h,v 1.13 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_VECTOR_UNARY_FUNCTIONS_H +#define TVMET_VECTOR_UNARY_FUNCTIONS_H + +namespace tvmet { + + +/********************************************************* + * PART I: DECLARATION + *********************************************************/ + +/* + * unary_function(Vector<T, Sz>) + */ +#define TVMET_DECLARE_MACRO(NAME) \ +template<class T, std::size_t Sz> \ +XprVector< \ + XprUnOp< \ + Fcnl_##NAME<T>, \ + VectorConstReference<T, Sz> \ + >, \ + Sz \ +> \ +NAME(const Vector<T, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(abs) +TVMET_DECLARE_MACRO(cbrt) +TVMET_DECLARE_MACRO(ceil) +TVMET_DECLARE_MACRO(floor) +TVMET_DECLARE_MACRO(rint) +TVMET_DECLARE_MACRO(sin) +TVMET_DECLARE_MACRO(cos) +TVMET_DECLARE_MACRO(tan) +TVMET_DECLARE_MACRO(sinh) +TVMET_DECLARE_MACRO(cosh) +TVMET_DECLARE_MACRO(tanh) +TVMET_DECLARE_MACRO(asin) +TVMET_DECLARE_MACRO(acos) +TVMET_DECLARE_MACRO(atan) +TVMET_DECLARE_MACRO(exp) +TVMET_DECLARE_MACRO(log) +TVMET_DECLARE_MACRO(log10) +TVMET_DECLARE_MACRO(sqrt) + +#if defined(TVMET_HAVE_IEEE_MATH) +TVMET_DECLARE_MACRO(asinh) +TVMET_DECLARE_MACRO(acosh) +TVMET_DECLARE_MACRO(atanh) +TVMET_DECLARE_MACRO(expm1) +TVMET_DECLARE_MACRO(log1p) +TVMET_DECLARE_MACRO(erf) +TVMET_DECLARE_MACRO(erfc) +TVMET_DECLARE_MACRO(j0) +TVMET_DECLARE_MACRO(j1) +TVMET_DECLARE_MACRO(y0) +TVMET_DECLARE_MACRO(y1) +TVMET_DECLARE_MACRO(lgamma) +/** \todo isnan etc. - default return is only an int! */ + +TVMET_DECLARE_MACRO(finite) +#endif // defined(TVMET_HAVE_IEEE_MATH) + +#undef TVMET_DECLARE_MACRO + + +/* + * unary_function(Vector<std::complex<T>, Sz>) + */ +#if defined(TVMET_HAVE_COMPLEX) +#define TVMET_DECLARE_MACRO(NAME) \ +template<class T, std::size_t Sz> \ +XprVector< \ + XprUnOp< \ + Fcnl_##NAME< std::complex<T> >, \ + VectorConstReference<std::complex<T>, Sz> \ + >, \ + Sz \ +> \ +NAME(const Vector<std::complex<T>, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(real) +TVMET_DECLARE_MACRO(imag) +TVMET_DECLARE_MACRO(arg) +TVMET_DECLARE_MACRO(norm) +TVMET_DECLARE_MACRO(conj) + +#undef TVMET_DECLARE_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/********************************************************* + * PART II: IMPLEMENTATION + *********************************************************/ + + +/* + * unary_function(Vector<T, Sz>) + */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprUnOp< \ + Fcnl_##NAME<T>, \ + VectorConstReference<T, Sz> \ + >, \ + Sz \ +> \ +NAME(const Vector<T, Sz>& rhs) { \ + typedef XprUnOp< \ + Fcnl_##NAME<T>, \ + VectorConstReference<T, Sz> \ + > expr_type; \ + return XprVector<expr_type, Sz>(expr_type(rhs.const_ref())); \ +} + +TVMET_IMPLEMENT_MACRO(abs) +TVMET_IMPLEMENT_MACRO(cbrt) +TVMET_IMPLEMENT_MACRO(ceil) +TVMET_IMPLEMENT_MACRO(floor) +TVMET_IMPLEMENT_MACRO(rint) +TVMET_IMPLEMENT_MACRO(sin) +TVMET_IMPLEMENT_MACRO(cos) +TVMET_IMPLEMENT_MACRO(tan) +TVMET_IMPLEMENT_MACRO(sinh) +TVMET_IMPLEMENT_MACRO(cosh) +TVMET_IMPLEMENT_MACRO(tanh) +TVMET_IMPLEMENT_MACRO(asin) +TVMET_IMPLEMENT_MACRO(acos) +TVMET_IMPLEMENT_MACRO(atan) +TVMET_IMPLEMENT_MACRO(exp) +TVMET_IMPLEMENT_MACRO(log) +TVMET_IMPLEMENT_MACRO(log10) +TVMET_IMPLEMENT_MACRO(sqrt) + +#if defined(TVMET_HAVE_IEEE_MATH) +TVMET_IMPLEMENT_MACRO(asinh) +TVMET_IMPLEMENT_MACRO(acosh) +TVMET_IMPLEMENT_MACRO(atanh) +TVMET_IMPLEMENT_MACRO(expm1) +TVMET_IMPLEMENT_MACRO(log1p) +TVMET_IMPLEMENT_MACRO(erf) +TVMET_IMPLEMENT_MACRO(erfc) +TVMET_IMPLEMENT_MACRO(j0) +TVMET_IMPLEMENT_MACRO(j1) +TVMET_IMPLEMENT_MACRO(y0) +TVMET_IMPLEMENT_MACRO(y1) +TVMET_IMPLEMENT_MACRO(lgamma) +/** \todo isnan etc. - default return is only an int! */ + +TVMET_IMPLEMENT_MACRO(finite) +#endif // defined(TVMET_HAVE_IEEE_MATH) + +#undef TVMET_IMPLEMENT_MACRO + + +/* + * unary_function(Vector<std::complex<T>, Sz>) + */ +#if defined(TVMET_HAVE_COMPLEX) +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class T, std::size_t Sz> \ +inline \ +XprVector< \ + XprUnOp< \ + Fcnl_##NAME< std::complex<T> >, \ + VectorConstReference<std::complex<T>, Sz> \ + >, \ + Sz \ +> \ +NAME(const Vector<std::complex<T>, Sz>& rhs) { \ + typedef XprUnOp< \ + Fcnl_##NAME< std::complex<T> >, \ + VectorConstReference<std::complex<T>, Sz> \ + > expr_type; \ + return XprVector<expr_type, Sz>(expr_type(rhs.const_ref())); \ +} + +TVMET_IMPLEMENT_MACRO(real) +TVMET_IMPLEMENT_MACRO(imag) +TVMET_IMPLEMENT_MACRO(arg) +TVMET_IMPLEMENT_MACRO(norm) +TVMET_IMPLEMENT_MACRO(conj) + +#undef TVMET_IMPLEMENT_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +} // namespace tvmet + +#endif // TVMET_VECTOR_UNARY_FUNCTIONS_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/config.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,206 @@ +#ifndef _INCLUDE_TVMET_CONFIG_H +#define _INCLUDE_TVMET_CONFIG_H 1 + +/* include/tvmet/config.h. Generated automatically at end of configure. */ +/* config/config.h. Generated from config.h.in by configure. */ +/* config/config.h.in. Generated from configure.ac by autoheader. */ + +/* define if the compiler has complex<T> */ +#ifndef TVMET_HAVE_COMPLEX +#define TVMET_HAVE_COMPLEX +#endif + +/* define if the compiler has complex math functions */ +#ifndef TVMET_HAVE_COMPLEX_MATH1 +#define TVMET_HAVE_COMPLEX_MATH1 +#endif + +/* define if the compiler has more complex math functions */ +/* #undef TVMET_HAVE_COMPLEX_MATH2 */ + +/* Define to 1 if you have the <dlfcn.h> header file. */ +#ifndef TVMET_HAVE_DLFCN_H +#define TVMET_HAVE_DLFCN_H 1 +#endif + +/* Define to 1 if you have the `floor' function. */ +#ifndef TVMET_HAVE_FLOOR +#define TVMET_HAVE_FLOOR 1 +#endif + +/* Define if the compiler supports IEEE math library */ +#ifndef TVMET_HAVE_IEEE_MATH +#define TVMET_HAVE_IEEE_MATH +#endif + +/* Define to 1 if you have the <inttypes.h> header file. */ +#ifndef TVMET_HAVE_INTTYPES_H +#define TVMET_HAVE_INTTYPES_H 1 +#endif + +/* Define to 1 if you have the `dl' library (-ldl). */ +#ifndef TVMET_HAVE_LIBDL +#define TVMET_HAVE_LIBDL 1 +#endif + +/* Define to 1 if the type `long double' works and has more range or precision + than `double'. */ +#ifndef TVMET_HAVE_LONG_DOUBLE +#define TVMET_HAVE_LONG_DOUBLE 1 +#endif + +/* Define to 1 if the type `long double' works and has more range or precision + than `double'. */ +#ifndef TVMET_HAVE_LONG_DOUBLE_WIDER +#define TVMET_HAVE_LONG_DOUBLE_WIDER 1 +#endif + +/* Define if the compiler supports the long_long type */ +#ifndef TVMET_HAVE_LONG_LONG +#define TVMET_HAVE_LONG_LONG +#endif + +/* Define to 1 if you have the <memory.h> header file. */ +#ifndef TVMET_HAVE_MEMORY_H +#define TVMET_HAVE_MEMORY_H 1 +#endif + +/* Define if the compiler supports the mutable keyword */ +#ifndef TVMET_HAVE_MUTABLE +#define TVMET_HAVE_MUTABLE +#endif + +/* Define if the compiler implements namespaces */ +#ifndef TVMET_HAVE_NAMESPACES +#define TVMET_HAVE_NAMESPACES +#endif + +/* Define if the compiler supports partial specialization */ +#ifndef TVMET_HAVE_PARTIAL_SPECIALIZATION +#define TVMET_HAVE_PARTIAL_SPECIALIZATION +#endif + +/* Define to 1 if you have the `pow' function. */ +#ifndef TVMET_HAVE_POW +#define TVMET_HAVE_POW 1 +#endif + +/* Define to 1 if you have the `rint' function. */ +#ifndef TVMET_HAVE_RINT +#define TVMET_HAVE_RINT 1 +#endif + +/* Define to 1 if you have the `sqrt' function. */ +#ifndef TVMET_HAVE_SQRT +#define TVMET_HAVE_SQRT 1 +#endif + +/* Define to 1 if stdbool.h conforms to C99. */ +#ifndef TVMET_HAVE_STDBOOL_H +#define TVMET_HAVE_STDBOOL_H 1 +#endif + +/* Define to 1 if you have the <stdint.h> header file. */ +#ifndef TVMET_HAVE_STDINT_H +#define TVMET_HAVE_STDINT_H 1 +#endif + +/* Define to 1 if you have the <stdlib.h> header file. */ +#ifndef TVMET_HAVE_STDLIB_H +#define TVMET_HAVE_STDLIB_H 1 +#endif + +/* Define to 1 if you have the <strings.h> header file. */ +#ifndef TVMET_HAVE_STRINGS_H +#define TVMET_HAVE_STRINGS_H 1 +#endif + +/* Define to 1 if you have the <string.h> header file. */ +#ifndef TVMET_HAVE_STRING_H +#define TVMET_HAVE_STRING_H 1 +#endif + +/* Define if the compiler supports SYSV math library */ +/* #undef TVMET_HAVE_SYSV_MATH */ + +/* Define to 1 if you have the <sys/stat.h> header file. */ +#ifndef TVMET_HAVE_SYS_STAT_H +#define TVMET_HAVE_SYS_STAT_H 1 +#endif + +/* Define to 1 if you have the <sys/time.h> header file. */ +#ifndef TVMET_HAVE_SYS_TIME_H +#define TVMET_HAVE_SYS_TIME_H 1 +#endif + +/* Define to 1 if you have the <sys/types.h> header file. */ +#ifndef TVMET_HAVE_SYS_TYPES_H +#define TVMET_HAVE_SYS_TYPES_H 1 +#endif + +/* Define if the compiler recognizes typename */ +#ifndef TVMET_HAVE_TYPENAME +#define TVMET_HAVE_TYPENAME +#endif + +/* Define to 1 if you have the <unistd.h> header file. */ +#ifndef TVMET_HAVE_UNISTD_H +#define TVMET_HAVE_UNISTD_H 1 +#endif + +/* Define to 1 if the system has the type `_Bool'. */ +/* #undef TVMET_HAVE__BOOL */ + +/* Define to the address where bug reports for this package should be sent. */ +#ifndef TVMET_PACKAGE_BUGREPORT +#define TVMET_PACKAGE_BUGREPORT "opetzold@users.sourceforge.net" +#endif + +/* Define to the full name of this package. */ +#ifndef TVMET_PACKAGE_NAME +#define TVMET_PACKAGE_NAME "tvmet" +#endif + +/* Define to the full name and version of this package. */ +#ifndef TVMET_PACKAGE_STRING +#define TVMET_PACKAGE_STRING "tvmet 1.7.2" +#endif + +/* Define to the one symbol short name of this package. */ +#ifndef TVMET_PACKAGE_TARNAME +#define TVMET_PACKAGE_TARNAME "tvmet" +#endif + +/* Define to the version of this package. */ +#ifndef TVMET_PACKAGE_VERSION +#define TVMET_PACKAGE_VERSION "1.7.2" +#endif + +/* Define to 1 if you have the ANSI C header files. */ +#ifndef TVMET_STDC_HEADERS +#define TVMET_STDC_HEADERS 1 +#endif + +/* Define to 1 if your <sys/time.h> declares `struct tm'. */ +/* #undef TVMET_TM_IN_SYS_TIME */ + +/* Define to empty if `const' does not conform to ANSI C. */ +/* #undef _tvmet_const */ + +/* Define to `__inline__' or `__inline' if that's what the C compiler + calls it, or to nothing if 'inline' is not supported under any name. */ +#ifndef __cplusplus +/* #undef _tvmet_inline */ +#endif + +/* Define to equivalent of C99 restrict keyword, or to nothing if this is not + supported. Do not define if restrict is supported directly. */ +#ifndef _tvmet_restrict +#define _tvmet_restrict __restrict +#endif + +/* Define to `unsigned int' if <sys/types.h> does not define. */ +/* #undef _tvmet_size_t */ + +/* _INCLUDE_TVMET_CONFIG_H */ +#endif
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/config/config-gcc.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,44 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: config-gcc.h,v 1.10 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_CONFIG_GCC_H +#define TVMET_CONFIG_GCC_H + +#if defined(__GNUC__) + + // force inline +# define TVMET_CXX_ALWAYS_INLINE __attribute__((always_inline)) + +#else // !defined(__GNUC__) + + // paranoia +# warning "config header for gnuc included without defined __GNUC__" + +#endif + +#endif // TVMET_CONFIG_GCC_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/config/config-icc.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,69 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: config-icc.h,v 1.12 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_CONFIG_ICC_H +#define TVMET_CONFIG_ICC_H + +#if defined(__INTEL_COMPILER) + + /* isnan/isinf hack + * + * The problem is related intel's 8.0 macros isnan and isinf, + * they are expanded in this version and they are not compileable + * therefore. We use a small hack here - disabling. This is + * not an real solution, nor forever. + * For a list of all defined symbols use icpc -E -dM prog1.cpp + * or read /opt/intel/compiler80/doc/c_ug/index.htm. + */ +# if (__INTEL_COMPILER == 800) || (__INTEL_COMPILER > 800) +# define TVMET_NO_IEEE_MATH_ISNAN +# define TVMET_NO_IEEE_MATH_ISINF +# endif + + + /* + * disable compiler warnings + */ +# pragma warning(disable:981) // operands are evaluated in unspecified order + + + /* + * force inline using gcc's compatibility mode + */ +# if (__INTEL_COMPILER == 800) || (__INTEL_COMPILER > 800) +# define TVMET_CXX_ALWAYS_INLINE __attribute__((always_inline)) +# endif + +#else // !defined(__INTEL_COMPILER) + + // paranoia +# warning "config header included without defined __INTEL_COMPILER" + +#endif + +#endif // TVMET_CONFIG_ICC_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/config/config-kcc.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,41 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: config-kcc.h,v 1.9 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_CONFIG_KCC_H +#define TVMET_CONFIG_KCC_H + +#if defined(__KCC) + +#else // !defined(__KCC) + + // paranoia +# warning "config header included without defined __KCC" + +#endif + +#endif // TVMET_CONFIG_KCC_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/config/config-pgi.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,48 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: config-pgi.h,v 1.10 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_CONFIG_PGI_H +#define TVMET_CONFIG_PGI_H + +#if defined(__PGI) + + + // obviously does have pgCC 5.1 (trial) no long double on sqrt +# if defined(TVMET_HAVE_LONG_DOUBLE) +# undef TVMET_HAVE_LONG_DOUBLE +# endif + + +#else // !defined(__PGI) + + // paranoia +# warning "config header included without defined __PGI" + +#endif + +#endif // TVMET_CONFIG_PGI_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/config/config-vc71.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,249 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2003 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: config-vc71.h.in,v 1.2 2004-11-04 16:47:12 opetzold Exp $ + */ + +#ifndef TVMET_CONFIG_VC71_H +#define TVMET_CONFIG_VC71_H + + +/******************************************************************* + * equivalent hand made header to configure.ac's autoheader. + ******************************************************************/ + + +/* define if the compiler has complex<T> */ +#ifndef TVMET_HAVE_COMPLEX +#define TVMET_HAVE_COMPLEX 1 +#endif + +/* define if the compiler has complex math functions */ +#ifndef TVMET_HAVE_COMPLEX_MATH1 +#define TVMET_HAVE_COMPLEX_MATH1 1 +#endif + +/* define if the compiler has more complex math functions */ +/* #undef TVMET_HAVE_COMPLEX_MATH2 */ + +/* Define to 1 if you have the <dlfcn.h> header file. */ +#ifdef TVMET_HAVE_DLFCN_H +#undef TVMET_HAVE_DLFCN_H +#endif + +/* Define to 1 if you have the `floor' function. */ +#ifndef TVMET_HAVE_FLOOR +#define TVMET_HAVE_FLOOR 1 +#endif + +/* Define if the compiler supports IEEE math library */ +#ifndef TVMET_HAVE_IEEE_MATH +#define TVMET_HAVE_IEEE_MATH 1 +#endif + +/* Define to 1 if you have the <inttypes.h> header file. */ +#ifdef TVMET_HAVE_INTTYPES_H +#undef TVMET_HAVE_INTTYPES_H +#endif + +/* Define to 1 if you have the `dl' library (-ldl). */ +#ifdef TVMET_HAVE_LIBDL +#undef TVMET_HAVE_LIBDL +#endif + +/* Define to 1 if long double works and has more range or precision than + double. */ +#ifndef TVMET_HAVE_LONG_DOUBLE +#define TVMET_HAVE_LONG_DOUBLE 1 +#endif + +/* Define if the compiler supports the long_long type */ +// enable MS extension for long long +#ifndef TVMET_HAVE_LONG_LONG +#define TVMET_HAVE_LONG_LONG 1 +#endif + +/* Define to 1 if you have the <memory.h> header file. */ +#ifndef TVMET_HAVE_MEMORY_H +#define TVMET_HAVE_MEMORY_H 1 +#endif + +/* Define if the compiler supports the mutable keyword */ +#ifndef TVMET_HAVE_MUTABLE +#define TVMET_HAVE_MUTABLE 1 +#endif + +/* Define if the compiler implements namespaces */ +#ifndef TVMET_HAVE_NAMESPACES +#define TVMET_HAVE_NAMESPACES 1 +#endif + +/* Define if the compiler supports partial specialization */ +#ifndef TVMET_HAVE_PARTIAL_SPECIALIZATION +#define TVMET_HAVE_PARTIAL_SPECIALIZATION 1 +#endif + +/* Define to 1 if you have the `pow' function. */ +#ifndef TVMET_HAVE_POW +#define TVMET_HAVE_POW 1 +#endif + +/* Define to 1 if you have the `rint' function. */ + +#ifdef TVMET_HAVE_RINT +#undef TVMET_HAVE_RINT +#endif + +/* Define to 1 if you have the `sqrt' function. */ +#ifndef TVMET_HAVE_SQRT +#define TVMET_HAVE_SQRT 1 +#endif + +/* Define to 1 if stdbool.h conforms to C99. */ +/* #undef TVMET_HAVE_STDBOOL_H */ + +/* Define to 1 if you have the <stdint.h> header file. */ +#ifdef TVMET_HAVE_STDINT_H +#undef TVMET_HAVE_STDINT_H +#endif + +/* Define to 1 if you have the <stdlib.h> header file. */ +#ifndef TVMET_HAVE_STDLIB_H +#define TVMET_HAVE_STDLIB_H 1 +#endif + +/* Define to 1 if you have the <strings.h> header file. */ +#ifdef TVMET_HAVE_STRINGS_H +#undef TVMET_HAVE_STRINGS_H +#endif + +/* Define to 1 if you have the <string.h> header file. */ +#ifndef TVMET_HAVE_STRING_H +#define TVMET_HAVE_STRING_H 1 +#endif + +/* Define if the compiler supports SYSV math library */ +/* #undef TVMET_HAVE_SYSV_MATH */ + +/* Define to 1 if you have the <sys/stat.h> header file. */ +#ifdef TVMET_HAVE_SYS_STAT_H +#undef TVMET_HAVE_SYS_STAT_H +#endif + +/* Define to 1 if you have the <sys/time.h> header file. */ +#ifdef TVMET_HAVE_SYS_TIME_H +#undef TVMET_HAVE_SYS_TIME_H +#endif + +/* Define to 1 if you have the <sys/types.h> header file. */ +#ifdef TVMET_HAVE_SYS_TYPES_H +#undef TVMET_HAVE_SYS_TYPES_H +#endif + +/* Define if the compiler recognizes typename */ +#ifndef TVMET_HAVE_TYPENAME +#define TVMET_HAVE_TYPENAME 1 +#endif + +/* Define to 1 if you have the <unistd.h> header file. */ +#ifdef TVMET_HAVE_UNISTD_H +#undef TVMET_HAVE_UNISTD_H +#endif + +/* Define to 1 if the system has the type `_Bool'. */ +/* #undef TVMET_HAVE__BOOL */ + +/* Define to the address where bug reports for this package should be sent. */ +#ifndef TVMET_PACKAGE_BUGREPORT +#define TVMET_PACKAGE_BUGREPORT "opetzold@users.sourceforge.net" +#endif + +/* Define to the full name of this package. */ +#ifndef TVMET_PACKAGE_NAME +#define TVMET_PACKAGE_NAME "tvmet" +#endif + +/* Define to the full name and version of this package. */ +#ifndef TVMET_PACKAGE_STRING +#define TVMET_PACKAGE_STRING "tvmet 1.7.2" +#endif + +/* Define to the one symbol short name of this package. */ +#ifndef TVMET_PACKAGE_TARNAME +#define TVMET_PACKAGE_TARNAME "tvmet" +#endif + +/* Define to the version of this package. */ +#ifndef TVMET_PACKAGE_VERSION +#define TVMET_PACKAGE_VERSION "1.7.2" +#endif + +/* Define to 1 if you have the ANSI C header files. */ +#ifndef TVMET_STDC_HEADERS +#define TVMET_STDC_HEADERS 1 +#endif + +/* Define to 1 if your <sys/time.h> declares `struct tm'. */ +/* #undef TVMET_TM_IN_SYS_TIME */ + +/* Define to empty if `const' does not conform to ANSI C. */ +/* #undef _tvmet_const */ + +/* Define to `__inline__' or `__inline' if that's what the C compiler + calls it, or to nothing if 'inline' is not supported under any name. */ +#ifndef __cplusplus +/* #undef _tvmet_inline */ +#endif + +/* Define to equivalent of C99 restrict keyword, or to nothing if this is not + supported. Do not define if restrict is supported directly. */ +// unfortunally, VC++ 7.1 doesn't have restrict. +#ifndef _tvmet_restrict +#define _tvmet_restrict +#endif + +/* Define to `unsigned' if <sys/types.h> does not define. */ +/* #undef _tvmet_size_t */ + + + +/******************************************************************* + * tvmet's config for special handling on MS VC + ******************************************************************/ + + +#if defined(_MSC_VER) + +/* The undefined case of TVMET_CXX_ALWAYS_INLINE is handled inside + * tvmet.h, so there there is no need to do this here! */ + +#else // !defined(_MSC_VER) + + // paranoia +# warning "config header for MS VC 7.1 included without defined _MSC_VER" + +#endif + +#endif // TVMET_CONFIG_VC71_H + +// Local Variables: +// mode:C++ +// End: +// LocalWords: autoheader
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/loop/Gemm.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,115 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Gemm.h,v 1.12 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_LOOP_GEMM_H +#define TVMET_LOOP_GEMM_H + +namespace tvmet { + +namespace loop { + + +/** + * \class gemm Gemm.h "tvmet/loop/Gemm.h" + * \brief class for matrix-matrix product using loop unrolling. + * using formula + * \f[ + * M_1\,M_2 + * \f] + * \par Example: + * \code + * template<class T, std::size_t Rows1, std::size_t Cols1, std::size_t Cols2> + * inline + * void + * prod(const Matrix<T, Rows1, Cols1>& lhs, const Matrix<T, Cols1, Cols2>& rhs, + * Matrix<T, Rows1, Cols2>& dest) + * { + * for (std::size_t i = 0; i != Rows1; ++i) { + * for (std::size_t j = 0; j != Cols2; ++j) { + * dest(i, j) = tvmet::loop::gemm<Rows1, Cols1, Cols2>().prod(lhs, rhs, i, j); + * } + * } + * } + * \endcode + * \note The number of rows of rhs matrix have to be equal to cols of lhs matrix. + * The result is a (Rows1 x Cols2) matrix. + */ +template<std::size_t Rows1, std::size_t Cols1, + std::size_t Cols2> +class gemm +{ + gemm(const gemm&); + gemm& operator=(const gemm&); + +private: + enum { + count = Cols1, + N = (count+7)/8 + }; + +public: + gemm() { } + +public: + template<class E1, class E2> + static inline + typename PromoteTraits< + typename E1::value_type, + typename E2::value_type + >::value_type + prod(const E1& lhs, const E2& rhs, std::size_t i, std::size_t j) { + typename PromoteTraits< + typename E1::value_type, + typename E2::value_type + >::value_type sum(0); + std::size_t k(0); + std::size_t n(N); + + // Duff's device + switch(count % 8) { + case 0: do { sum += lhs(i, k) * rhs(k, j); ++k; + case 7: sum += lhs(i, k) * rhs(k, j); ++k; + case 6: sum += lhs(i, k) * rhs(k, j); ++k; + case 5: sum += lhs(i, k) * rhs(k, j); ++k; + case 4: sum += lhs(i, k) * rhs(k, j); ++k; + case 3: sum += lhs(i, k) * rhs(k, j); ++k; + case 2: sum += lhs(i, k) * rhs(k, j); ++k; + case 1: sum += lhs(i, k) * rhs(k, j); ++k; + } while(--n != 0); + } + + return sum; + } +}; + + +} // namespace loop + +} // namespace tvmet + +#endif /* TVMET_LOOP_GEMM_H */ + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/loop/Gemmt.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,115 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Gemmt.h,v 1.9 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_LOOP_GEMMT_H +#define TVMET_LOOP_GEMMT_H + +namespace tvmet { + +namespace loop { + + +/** + * \class gemmt Gemmt.h "tvmet/loop/Gemmt.h" + * \brief class for for product matrix-transpose(matrix) operations. + * using formula + * \f[ + * M_1\,M_2^{T} + * \f] + * \par Example: + * \code + * template<class T, std::size_t Rows1, std::size_t Cols1, std::size_t Cols2> + * inline + * void + * prod(const Matrix<T, Rows1, Cols1>& lhs, const Matrix<T, Rows2, Cols1>& rhs, + * Matrix<T, Rows1, Rows2>& dest) + * { + * for (std::size_t i = 0; i != Rows1; ++i) { + * for (std::size_t j = 0; j != Rows2; ++j) { + * dest(i, j) = tvmet::loop::gemmt<Rows1, Cols1, Cols1>().prod(lhs, rhs, i, j); + * } + * } + * } + * \endcode + * \note The number of cols of rhs matrix have to be equal to cols of rhs matrix. + * The result is a (Rows1 x Rows2) matrix. + */ +template<std::size_t Rows1, std::size_t Cols1, + std::size_t Cols2 /* unused */> +class gemmt +{ + gemmt(const gemmt&); + gemmt& operator=(const gemmt&); + +private: + enum { + count = Cols1, + N = (count+7)/8 + }; + +public: + gemmt() { } + +public: + template<class E1, class E2> + static inline + typename PromoteTraits< + typename E1::value_type, + typename E2::value_type + >::value_type + prod(const E1& lhs, const E2& rhs, std::size_t i, std::size_t j) { + typename PromoteTraits< + typename E1::value_type, + typename E2::value_type + >::value_type sum(0); + std::size_t k(0); + std::size_t n(N); + + // Duff's device + switch(count % 8) { + case 0: do { sum += lhs(i, k) * rhs(j, k); ++k; + case 7: sum += lhs(i, k) * rhs(j, k); ++k; + case 6: sum += lhs(i, k) * rhs(j, k); ++k; + case 5: sum += lhs(i, k) * rhs(j, k); ++k; + case 4: sum += lhs(i, k) * rhs(j, k); ++k; + case 3: sum += lhs(i, k) * rhs(j, k); ++k; + case 2: sum += lhs(i, k) * rhs(j, k); ++k; + case 1: sum += lhs(i, k) * rhs(j, k); ++k; + } while(--n != 0); + } + + return sum; + } +}; + + +} // namespace loop + +} // namespace tvmet + +#endif /* TVMET_LOOP_GEMMT_H */ + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/loop/Gemtm.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,116 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Gemtm.h,v 1.9 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_LOOP_GEMTM_H +#define TVMET_LOOP_GEMTM_H + +namespace tvmet { + +namespace loop { + + +/** + * \class gemtm Gemtm.h "tvmet/loop/Gemtm.h" + * \brief class for matrix-matrix product using loop unrolling. + * using formula + * \f[ + * M_1^{T}\,M_2 + * \f] + * \par Example: + * \code + * template<class T, std::size_t Rows1, std::size_t Cols1, std::size_t Cols2> + * inline + * void + * prod(const Matrix<T, Rows1, Cols1>& lhs, const Matrix<T, Rows1, Cols2>& rhs, + * Matrix<T, Cols2, Cols1>& dest) + * { + * for (std::size_t i = 0; i != Cols1; ++i) { + * for (std::size_t j = 0; j != Cols2; ++j) { + * dest(i, j) = tvmet::loop::gemtm<Rows1, Cols1, Cols2>::prod(lhs, rhs, i, j); + * } + * } + * } + * \endcode + * \note The number of rows of rhs matrix have to be equal rows of rhs matrix, + * since lhs matrix 1 is transposed. + * The result is a (Cols1 x Cols2) matrix. + */ +template<std::size_t Rows1, std::size_t Cols1, + std::size_t Cols2> +class gemtm +{ + gemtm(const gemtm&); + gemtm& operator=(const gemtm&); + +private: + enum { + count = Cols1, + N = (count+7)/8 + }; + +public: + gemtm() { } + +public: + template<class E1, class E2> + static inline + typename PromoteTraits< + typename E1::value_type, + typename E2::value_type + >::value_type + prod(const E1& lhs, const E2& rhs, std::size_t i, std::size_t j) { + typename PromoteTraits< + typename E1::value_type, + typename E2::value_type + >::value_type sum(0); + std::size_t k(0); + std::size_t n(N); + + // Duff's device + switch(count % 8) { + case 0: do { sum += lhs(k, i) * rhs(k, j); ++k; + case 7: sum += lhs(k, i) * rhs(k, j); ++k; + case 6: sum += lhs(k, i) * rhs(k, j); ++k; + case 5: sum += lhs(k, i) * rhs(k, j); ++k; + case 4: sum += lhs(k, i) * rhs(k, j); ++k; + case 3: sum += lhs(k, i) * rhs(k, j); ++k; + case 2: sum += lhs(k, i) * rhs(k, j); ++k; + case 1: sum += lhs(k, i) * rhs(k, j); ++k; + } while(--n != 0); + } + + return sum; + } +}; + + +} // namespace loop + +} // namespace tvmet + +#endif /* TVMET_LOOP_GEMTM_H */ + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/loop/Gemtv.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,110 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Gemtv.h,v 1.7 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_LOOP_GEMTV_H +#define TVMET_LOOP_GEMTV_H + +namespace tvmet { + +namespace loop { + + +/** + * \class gemtv Gemtv.h "tvmet/loop/Gemtv.h" + * \brief class for transposed(matrix)-vector product using loop unrolling. + * using formula + * \f[ + * M^T\,v + * \f] + * \par Example: + * \code + * template<class T, std::size_t Rows, std::size_t Cols> + * inline + * void + * prod(const Matrix<T, Rows, Cols>& lhs, const Vector<T, Rows>& rhs, + * Vector<T, Cols>& dest) + * { + * for (std::size_t i = 0; i != Cols; ++i) { + * dest(i) = tvmet::loop::gemtv<Rows, Cols>().prod(lhs, rhs, i); + * } + * } + * \endcode + */ +template<std::size_t Rows, std::size_t Cols> +class gemtv +{ + gemtv(const gemtv&); + gemtv& operator=(const gemtv&); + +private: + enum { + count = Rows, + N = (count+7)/8 + }; + +public: + gemtv() { } + +public: + template<class E1, class E2> + static inline + typename PromoteTraits< + typename E1::value_type, + typename E2::value_type + >::value_type + prod(const E1& lhs, const E2& rhs, std::size_t i) { + typename PromoteTraits< + typename E1::value_type, + typename E2::value_type + >::value_type sum(0); + std::size_t j(0); + std::size_t n(N); + + // Duff's device + switch(count % 8) { + case 0: do { sum += lhs(j, i) * rhs(j); ++j; + case 7: sum += lhs(j, i) * rhs(j); ++j; + case 6: sum += lhs(j, i) * rhs(j); ++j; + case 5: sum += lhs(j, i) * rhs(j); ++j; + case 4: sum += lhs(j, i) * rhs(j); ++j; + case 3: sum += lhs(j, i) * rhs(j); ++j; + case 2: sum += lhs(j, i) * rhs(j); ++j; + case 1: sum += lhs(j, i) * rhs(j); ++j; + } while(--n != 0); + } + + return sum; + } +}; + + +} // namespace loop + +} // namespace tvmet + +#endif /* TVMET_LOOP_GEMTV_H */ + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/loop/Gemv.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,110 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Gemv.h,v 1.7 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_LOOP_GEMV_H +#define TVMET_LOOP_GEMV_H + +namespace tvmet { + +namespace loop { + + +/** + * \class gemv Gemv.h "tvmet/loop/Gemv.h" + * \brief class for matrix-vector product using loop unrolling. + * using formula + * \f[ + * M\,v + * \f] + * \par Example: + * \code + * template<class T, std::size_t Rows, std::size_t Cols> + * inline + * void + * prod(const Matrix<T, Rows, Cols>& lhs, const Vector<T, Cols>& rhs, + * Vector<T, Rows>& dest) + * { + * for (std::size_t i = 0; i != Rows; ++i) { + * dest(i) = tvmet::loop::gemv<Rows, Cols>().prod(lhs, rhs, i); + * } + * } + * \endcode + */ +template<std::size_t Rows, std::size_t Cols> +class gemv +{ + gemv(const gemv&); + gemv& operator=(const gemv&); + +private: + enum { + count = Cols, + N = (count+7)/8 + }; + +public: + gemv() { } + +public: + template<class E1, class E2> + static inline + typename PromoteTraits< + typename E1::value_type, + typename E2::value_type + >::value_type + prod(const E1& lhs, const E2& rhs, std::size_t i) { + typename PromoteTraits< + typename E1::value_type, + typename E2::value_type + >::value_type sum(0); + std::size_t j(0); + std::size_t n(N); + + // Duff's device + switch(count % 8) { + case 0: do { sum += lhs(i, j) * rhs(j); ++j; + case 7: sum += lhs(i, j) * rhs(j); ++j; + case 6: sum += lhs(i, j) * rhs(j); ++j; + case 5: sum += lhs(i, j) * rhs(j); ++j; + case 4: sum += lhs(i, j) * rhs(j); ++j; + case 3: sum += lhs(i, j) * rhs(j); ++j; + case 2: sum += lhs(i, j) * rhs(j); ++j; + case 1: sum += lhs(i, j) * rhs(j); ++j; + } while(--n != 0); + } + + return sum; + } +}; + + +} // namespace loop + +} // namespace tvmet + +#endif /* TVMET_LOOP_GEMV_H */ + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/loop/Matrix.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,66 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * lesser General Public License for more details. + * + * You should have received a copy of the GNU lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Matrix.h,v 1.11 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_LOOP_MATRIX_H +#define TVMET_LOOP_MATRIX_H + +namespace tvmet { + +namespace loop { + + +/** + * \class Matrix Matrix.h "tvmet/loop/Matrix.h" + * \brief Loop %Matrix class using expression and loop templates. + */ +template<std::size_t Rows, std::size_t Cols> +class Matrix +{ + Matrix(const Matrix&); + Matrix& operator=(const Matrix&); + +public: + Matrix() { } + +public: + /** assign an expression on columns on given row using the functional fn. */ + template<class E1, class E2, class Assign> + static inline + void assign(E1& lhs, const E2& rhs, const Assign& assign_fn) { + for(std::size_t i = 0; i != Rows; ++i) + for(std::size_t j = 0; j != Cols; ++j) + assign_fn.apply_on(lhs(i, j), rhs(i, j)); + } +}; + + +} // namespace loop + +} // namespace tvmet + +#endif /* TVMET_LOOP_MATRIX_H */ + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/loop/Vector.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,65 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * lesser General Public License for more details. + * + * You should have received a copy of the GNU lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Vector.h,v 1.9 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_LOOP_VECTOR_H +#define TVMET_LOOP_VECTOR_H + +namespace tvmet { + +namespace loop { + + +/** + * \class Vector Vector.h "tvmet/loop/Vector.h" + * \brief Loop %Vector class using expression and loop templates. + */ +template<std::size_t Sz> +class Vector +{ + Vector(const Vector&); + Vector& operator=(const Vector&); + +public: + Vector() { } + +public: + /** assign an expression on columns on given row using the functional fn. */ + template<class E1, class E2, class Assign> + static inline + void assign(E1& lhs, const E2& rhs, const Assign& assign_fn) { + for(std::size_t i = 0; i != Sz; ++i) + assign_fn.apply_on(lhs(i), rhs(i)); + } +}; + + +} // namespace loop + +} // namespace tvmet + +#endif /* TVMET_LOOP_VECTOR_H */ + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/meta/Gemm.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,102 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Gemm.h,v 1.15 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_META_GEMM_H +#define TVMET_META_GEMM_H + +#include <tvmet/xpr/Null.h> + +namespace tvmet { + +namespace meta { + + +/** + * \class gemm Gemm.h "tvmet/meta/Gemm.h" + * \brief Meta class for matrix-matrix operations, like product + * using formula + * \f[ + * M_1\,M_2 + * \f] + * \note The rows of matrix 2 have to be equal to cols of matrix 1. + */ +template<std::size_t Rows1, std::size_t Cols1, + std::size_t Cols2, + std::size_t K> +class gemm +{ + gemm(); + gemm(const gemm&); + gemm& operator=(const gemm&); + +private: + enum { + doIt = (K != Cols1 - 1) /**< recursive counter */ + }; + +public: + template<class E1, class E2> + static inline + typename PromoteTraits< + typename E1::value_type, + typename E2::value_type + >::value_type + prod(const E1& lhs, const E2& rhs, std::size_t i, std::size_t j) { + return lhs(i, K) * rhs(K, j) + + gemm<Rows1 * doIt, Cols1 * doIt, + Cols2 * doIt, + (K+1) * doIt>::prod(lhs, rhs, i, j); + } +}; + + +/** + * \class gemm<0,0,0,0> Gemm.h "tvmet/meta/Gemm.h" + * \brief gemm Specialized for recursion. + */ +template<> +class gemm<0,0,0,0> +{ + gemm(); + gemm(const gemm&); + gemm& operator=(const gemm&); + +public: + template<class E1, class E2> + static inline + XprNull prod(const E1&, const E2&, std::size_t, std::size_t) { + return XprNull(); + } +}; + + +} // namespace meta + +} // namespace tvmet + +#endif /* TVMET_META_GEMM_H */ + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/meta/Gemmt.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,103 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Gemmt.h,v 1.13 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_META_GEMMT_H +#define TVMET_META_GEMMT_H + +#include <tvmet/xpr/Null.h> + +namespace tvmet { + +namespace meta { + + +/** + * \class gemmt Gemmt.h "tvmet/meta/Gemmt.h" + * \brief Meta class for product matrix-transpose(matrix) operations. + * using formula + * \f[ + * M_1\,M_2^{T} + * \f] + * \note The rows of matrix 2 have to be equal to cols of matrix 1. The result + * is a rows1 * cols2 matrix. + */ +template<std::size_t Rows1, std::size_t Cols1, + std::size_t Cols2, + std::size_t K> +class gemmt +{ + gemmt(); + gemmt(const gemmt&); + gemmt& operator=(const gemmt&); + +private: + enum { + doIt = (K != Cols2 - 1) /**< recursive counter */ + }; + +public: + template<class E1, class E2> + static inline + typename PromoteTraits< + typename E1::value_type, + typename E2::value_type + >::value_type + prod(const E1& lhs, const E2& rhs, std::size_t i, std::size_t j) { + return lhs(i, K) * rhs(j, K) + + gemmt<Rows1 * doIt, Cols1 * doIt, + Cols2 * doIt, + (K+1) * doIt>::prod(lhs, rhs, i, j); + } +}; + + +/** + * \class gemmt<0,0,0,0> Gemmt.h "tvmet/meta/Gemmt.h" + * \brief gemmt Specialized for recursion. + */ +template<> +class gemmt<0,0,0,0> +{ + gemmt(); + gemmt(const gemmt&); + gemmt& operator=(const gemmt&); + +public: + template<class E1, class E2> + static inline + XprNull prod(const E1&, const E2&, std::size_t, std::size_t) { + return XprNull(); + } +}; + + +} // namespace meta + +} // namespace tvmet + +#endif /* TVMET_META_GEMMT_H */ + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/meta/Gemtm.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,106 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Gemtm.h,v 1.12 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_META_GEMTM_H +#define TVMET_META_GEMTM_H + +#include <tvmet/xpr/Null.h> + +namespace tvmet { + +namespace meta { + + +/** + * \class gemtm Gemtm.h "tvmet/meta/Gemtm.h" + * \brief Meta class for trans(matrix)-matrix operations, like product. + * using formula + * \f[ + * M_1^{T}\,M_2 + * \f] + * \note The number of cols of matrix 2 have to be equal to number of rows of + * matrix 1, since matrix 1 is transposed - the result is a (Cols1 x Cols2) + * matrix. + */ + +template<std::size_t Rows1, std::size_t Cols1, + std::size_t Cols2, + std::size_t K> +class gemtm +{ +private: + gemtm(); + gemtm(const gemtm&); + gemtm& operator=(const gemtm&); + +private: + enum { + doIt = (K != Rows1 - 1) /**< recursive counter */ + }; + +public: + template<class E1, class E2> + static inline + typename PromoteTraits< + typename E1::value_type, + typename E2::value_type + >::value_type + prod(const E1& lhs, const E2& rhs, std::size_t i, std::size_t j) { + return lhs(K, i) * rhs(K, j) + + gemtm<Rows1 * doIt, Cols1 * doIt, + Cols2 * doIt, + (K+1) * doIt>::prod(lhs, rhs, i, j); + } +}; + + +/** + * \class gemtm<0,0,0,0> Gemtm.h "tvmet/meta/Gemtm.h" + * \brief gemtm Specialized for recursion. + */ +template<> +class gemtm<0,0,0,0> +{ + gemtm(); + gemtm(const gemtm&); + gemtm& operator=(const gemtm&); + +public: + template<class E1, class E2> + static inline + XprNull prod(const E1&, const E2&, std::size_t, std::size_t) { + return XprNull(); + } +}; + + +} // namespace meta + +} // namespace tvmet + +#endif /* TVMET_META_GEMTM_H */ + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/meta/Gemtv.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,100 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Gemtv.h,v 1.8 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_META_GEMTV_H +#define TVMET_META_GEMTV_H + +#include <tvmet/xpr/Null.h> + +namespace tvmet { + +namespace meta { + + +/** + * \class gemtv Gemtv.h "tvmet/meta/Gemtv.h" + * \brief Meta class for matrix-transpose-vector operations. + * using formula + * \f[ + * M^T\,v + * \f] + */ +template<std::size_t Rows, std::size_t Cols, + std::size_t I> +class gemtv +{ + gemtv(); + gemtv(const gemtv&); + gemtv& operator=(const gemtv&); + +private: + enum { + doIt = I < (Rows-1) /**< recursive counter */ + }; + +public: + /** Meta template for %Matrix lhs %Vector rhs product. */ + template<class E1, class E2> + static inline + typename PromoteTraits< + typename E1::value_type, + typename E2::value_type + >::value_type + prod(const E1& lhs, const E2& rhs, std::size_t j) { + return lhs(I, j) * rhs(I) + + gemtv<Rows * doIt, Cols * doIt, + (I+1)* doIt>::prod(lhs, rhs, j); + } +}; + + +/** + * \class gemtv<0,0,0> Gemtv.h "tvmet/meta/Gemtv.h" + * \brief gemtv Specialized for recursion + */ +template<> +class gemtv<0,0,0> +{ + gemtv(); + gemtv(const gemtv&); + gemtv& operator=(const gemtv&); + +public: + template<class E1, class E2> + static inline + XprNull prod(const E1&, const E2&, std::size_t) { + return XprNull(); + } +}; + + +} // namespace meta + +} // namespace tvmet + +#endif /* TVMET_META_GEMTV_H */ + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/meta/Gemv.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,100 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Gemv.h,v 1.13 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_META_GEMV_H +#define TVMET_META_GEMV_H + +#include <tvmet/xpr/Null.h> + +namespace tvmet { + +namespace meta { + + +/** + * \class gemv Gemv.h "tvmet/meta/Gemv.h" + * \brief Meta class for matrix-vector operations. + * using formula + * \f[ + * M\,v + * \f] + */ +template<std::size_t Rows, std::size_t Cols, + std::size_t J> +class gemv +{ + gemv(); + gemv(const gemv&); + gemv& operator=(const gemv&); + +private: + enum { + doIt = J < (Cols-1) /**< recursive counter */ + }; + +public: + /** Meta template for %Matrix lhs %Vector rhs product. */ + template<class E1, class E2> + static inline + typename PromoteTraits< + typename E1::value_type, + typename E2::value_type + >::value_type + prod(const E1& lhs, const E2& rhs, std::size_t i) { + return lhs(i, J) * rhs(J) + + gemv<Rows * doIt, Cols * doIt, + (J+1)* doIt>::prod(lhs, rhs, i); + } +}; + + +/** + * \class gemv<0,0,0> Gemv.h "tvmet/meta/Gemv.h" + * \brief gemv Specialized for recursion + */ +template<> +class gemv<0,0,0> +{ + gemv(); + gemv(const gemv&); + gemv& operator=(const gemv&); + +public: + template<class E1, class E2> + static inline + XprNull prod(const E1&, const E2&, std::size_t) { + return XprNull(); + } +}; + + +} // namespace meta + +} // namespace tvmet + +#endif /* TVMET_META_GEMV_H */ + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/meta/Matrix.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,166 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * lesser General Public License for more details. + * + * You should have received a copy of the GNU lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Matrix.h,v 1.19 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_META_MATRIX_H +#define TVMET_META_MATRIX_H + +#include <tvmet/NumericTraits.h> +#include <tvmet/xpr/Null.h> + +namespace tvmet { + +namespace meta { + + +/** + * \class Matrix Matrix.h "tvmet/meta/Matrix.h" + * \brief Meta %Matrix class using expression and meta templates. + */ +template<std::size_t Rows, std::size_t Cols, + std::size_t M=0, std::size_t N=0> +class Matrix +{ + Matrix(); + Matrix(const Matrix&); + Matrix& operator=(const Matrix&); + +private: + enum { + doRows = (M < Rows - 1) ? 1 : 0, /**< recursive counter Rows. */ + doCols = (N < Cols - 1) ? 1 : 0 /**< recursive counter Cols. */ + }; + +public: + /** assign an expression on columns on given row using the functional assign_fn. */ + template<class Dest, class Src, class Assign> + static inline + void assign2(Dest& lhs, const Src& rhs, const Assign& assign_fn) { + assign_fn.apply_on(lhs(M, N), rhs(M, N)); + Matrix<Rows * doCols, Cols * doCols, + M * doCols, (N+1) * doCols>::assign2(lhs, rhs, assign_fn); + } + + /** assign an expression on row-wise using the functional assign_fn. */ + template<class Dest, class Src, class Assign> + static inline + void assign(Dest& lhs, const Src& rhs, const Assign& assign_fn) { + Matrix<Rows, Cols, + M, 0>::assign2(lhs, rhs, assign_fn); + Matrix<Rows * doRows, Cols * doRows, + (M+1) * doRows, 0>::assign(lhs, rhs, assign_fn); + } + + /** evaluate a given matrix expression, column wise. */ + template<class E> + static inline + bool all_elements2(const E& e) { + if(!e(M, N)) return false; + return Matrix<Rows * doCols, Cols * doCols, + M * doCols, (N+1) * doCols>::all_elements2(e); + } + + /** evaluate a given matrix expression, row wise. */ + template<class E> + static inline + bool all_elements(const E& e) { + if(!Matrix<Rows, Cols, M, 0>::all_elements2(e) ) return false; + return Matrix<Rows * doRows, Cols * doRows, + (M+1) * doRows, 0>::all_elements(e); + } + + /** evaluate a given matrix expression, column wise. */ + template<class E> + static inline + bool any_elements2(const E& e) { + if(e(M, N)) return true; + return Matrix<Rows * doCols, Cols * doCols, + M * doCols, (N+1) * doCols>::any_elements2(e); + } + + /** evaluate a given matrix expression, row wise. */ + template<class E> + static inline + bool any_elements(const E& e) { + if(Matrix<Rows, Cols, M, 0>::any_elements2(e) ) return true; + return Matrix<Rows * doRows, Cols * doRows, + (M+1) * doRows, 0>::any_elements(e); + } + + /** trace a given matrix expression. */ + template<class E> + static inline + typename E::value_type + trace(const E& e) { + return e(M, N) + + Matrix<Rows * doCols, Cols * doCols, + (M+1) * doCols, (N+1) * doCols>::trace(e); + } + +}; + + +/** + * \class Matrix<0, 0, 0, 0> Matrix.h "tvmet/meta/Matrix.h" + * \brief Meta %Matrix specialized for recursion. + */ +template<> +class Matrix<0, 0, 0, 0> +{ + Matrix(); + Matrix(const Matrix&); + Matrix& operator=(const Matrix&); + +public: + template<class Dest, class Src, class Assign> + static inline void assign2(Dest&, const Src&, const Assign&) { } + + template<class Dest, class Src, class Assign> + static inline void assign(Dest&, const Src&, const Assign&) { } + + template<class E> + static inline bool all_elements2(const E&) { return true; } + + template<class E> + static inline bool all_elements(const E&) { return true; } + + template<class E> + static inline bool any_elements2(const E&) { return false; } + + template<class E> + static inline bool any_elements(const E&) { return false; } + + template<class E> + static inline XprNull trace(const E&) { return XprNull(); } +}; + + +} // namespace meta + +} // namespace tvmet + +#endif /* TVMET_META_MATRIX_H */ + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/meta/Vector.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,155 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * lesser General Public License for more details. + * + * You should have received a copy of the GNU lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Vector.h,v 1.24 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_META_VECTOR_H +#define TVMET_META_VECTOR_H + +#include <tvmet/NumericTraits.h> +#include <tvmet/xpr/Null.h> + +namespace tvmet { + +/* forwards */ +template<class T, std::size_t Sz> class Vector; + + +namespace meta { + + +/** + * \class Vector Vector.h "tvmet/meta/Vector.h" + * \brief Meta %Vector class using expression templates + */ +template<std::size_t Sz, std::size_t K=0> +class Vector +{ + Vector(); + Vector(const Vector&); + Vector& operator=(const Vector&); + +private: + enum { + doIt = (K < (Sz-1)) ? 1 : 0 /**< recursive counter */ + }; + +public: + /** assign an expression expr using the functional assign_fn. */ + template <class Dest, class Src, class Assign> + static inline + void assign(Dest& lhs, const Src& rhs, const Assign& assign_fn) { + assign_fn.apply_on(lhs(K), rhs(K)); + meta::Vector<Sz * doIt, (K+1) * doIt>::assign(lhs, rhs, assign_fn); + } + + /** build the sum of the vector. */ + template<class E> + static inline + typename E::value_type + sum(const E& e) { + return e(K) + meta::Vector<Sz * doIt, (K+1) * doIt>::sum(e); + } + + /** build the product of the vector. */ + template<class E> + static inline + typename NumericTraits< + typename E::value_type + >::sum_type + product(const E& e) { + return e(K) * meta::Vector<Sz * doIt, (K+1) * doIt>::product(e); + } + + /** build the dot product of the vector. */ + template<class Dest, class Src> + static inline + typename PromoteTraits< + typename Dest::value_type, + typename Src::value_type + >::value_type + dot(const Dest& lhs, const Src& rhs) { + return lhs(K) * rhs(K) + + meta::Vector<Sz * doIt, (K+1) * doIt>::dot(lhs, rhs); + } + + /** check for all elements */ + template<class E> + static inline + bool + all_elements(const E& e) { + if(!e(K)) return false; + return meta::Vector<Sz * doIt, (K+1) * doIt>::all_elements(e); + } + + /** check for any elements */ + template<class E> + static inline + bool + any_elements(const E& e) { + if(e(K)) return true; + return meta::Vector<Sz * doIt, (K+1) * doIt>::any_elements(e); + } +}; + + +/** + * \class Vector<0,0> Vector.h "tvmet/meta/Vector.h" + * \brief Meta %Vector Specialized for recursion + */ +template<> +class Vector<0,0> +{ + Vector(); + Vector(const Vector&); + Vector& operator=(const Vector&); + +public: + template <class Dest, class Src, class Assign> + static inline void assign(Dest&, const Src&, const Assign&) { } + + template<class E> + static inline XprNull sum(const E&) { return XprNull(); } + + template<class E> + static inline XprNull product(const E&) { return XprNull(); } + + template<class Dest, class Src> + static inline XprNull dot(const Dest&, const Src&) { return XprNull(); } + + template<class E> + static inline bool all_elements(const E&) { return true; } + + template<class E> + static inline bool any_elements(const E&) { return false; } +}; + + +} // namespace meta + +} // namespace tvmet + +#endif /* TVMET_META_VECTOR_H */ + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/tvmet.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,239 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: tvmet.h,v 1.21 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_H +#define TVMET_H + +#include <tvmet/config.h> + + +/*********************************************************************** + * Compiler specifics + ***********************************************************************/ +#if defined(__GNUC__) +# include <tvmet/config/config-gcc.h> +#endif + +#if defined(__ICC) +# include <tvmet/config/config-icc.h> +#endif + +#if defined(__KCC) +# include <tvmet/config/config-kcc.h> +#endif + +#if defined(__PGI) +# include <tvmet/config/config-pgi.h> +#endif + +// vc7.1: 1310 and vc7.0 1300 +#if defined(_MSC_VER) && (_MSC_VER >= 1310) +# include <tvmet/config/config-vc71.h> +#endif + + +// give up for these cases +#if !defined(TVMET_HAVE_MUTABLE) +# error "Your compiler doesn't support the mutable keyword! Giving up." +#endif + +#if !defined(TVMET_HAVE_TYPENAME) +# error "Your compiler doesn't support the typename keyword! Giving up." +#endif + +#if !defined(TVMET_HAVE_NAMESPACES) +# error "Your compiler doesn't support the namespace concept! Giving up." +#endif + +#if !defined(TVMET_HAVE_PARTIAL_SPECIALIZATION) +# error "Your compiler doesn't support partial specialization! Giving up." +#endif + + +/* + * other compiler specific stuff + */ + +/** + * \def TVMET_CXX_ALWAYS_INLINE + * \brief Compiler specific stuff to force inline code if supported. + * + * Mainly, this declares the functions using g++'s + * __attribute__((always_inline)). This features is enabled + * on defined TVMET_OPTIMIZE. + */ +#if !defined(TVMET_CXX_ALWAYS_INLINE) +#define TVMET_CXX_ALWAYS_INLINE +#endif + + +/* + * Complexity triggers, compiler and architecture specific. + * If not defined, use defaults. + */ + +/** + * \def TVMET_COMPLEXITY_DEFAULT_TRIGGER + * \brief Trigger for changing the matrix-product strategy. + */ +#if !defined(TVMET_COMPLEXITY_DEFAULT_TRIGGER) +# define TVMET_COMPLEXITY_DEFAULT_TRIGGER 1000 +#endif + +/** + * \def TVMET_COMPLEXITY_M_ASSIGN_TRIGGER + * \brief Trigger for changing the matrix assign strategy. + */ +#if !defined(TVMET_COMPLEXITY_M_ASSIGN_TRIGGER) +# define TVMET_COMPLEXITY_M_ASSIGN_TRIGGER 8*8 +#endif + +/** + * \def TVMET_COMPLEXITY_MM_TRIGGER + * \brief Trigger for changing the matrix-matrix-product strategy. + * One strategy to build the matrix-matrix-product is to use + * meta templates. The other to use looping. + */ +#if !defined(TVMET_COMPLEXITY_MM_TRIGGER) +# define TVMET_COMPLEXITY_MM_TRIGGER 8*8 +#endif + +/** + * \def TVMET_COMPLEXITY_V_ASSIGN_TRIGGER + * \brief Trigger for changing the vector assign strategy. + */ +#if !defined(TVMET_COMPLEXITY_V_ASSIGN_TRIGGER) +# define TVMET_COMPLEXITY_V_ASSIGN_TRIGGER 8 +#endif + +/** + * \def TVMET_COMPLEXITY_MV_TRIGGER + * \brief Trigger for changing the matrix-vector strategy. + * One strategy to build the matrix-vector-product is to use + * meta templates. The other to use looping. + */ +#if !defined(TVMET_COMPLEXITY_MV_TRIGGER) +# define TVMET_COMPLEXITY_MV_TRIGGER 8*8 +#endif + + +/*********************************************************************** + * other specials + ***********************************************************************/ +#if defined(TVMET_HAVE_IEEE_MATH) +# define _ALL_SOURCE +# if !defined(_XOPEN_SOURCE) +# define _XOPEN_SOURCE +# endif +# if !defined(_XOPEN_SOURCE_EXTENDED) +# define _XOPEN_SOURCE_EXTENDED +# endif +#endif + + +/** + * \def TVMET_DEBUG + * This is defined if <code>DEBUG</code> is defined. This enables runtime error + * bounds checking. If you compile %tvmet from another source directory + * which defines <code>DEBUG</code>, then <code>TVMET_DEBUG</code> will be + * <b>not</b> defined (This behavior differs from release less than 0.6.0). + */ + + +/** + * \def TVMET_OPTIMIZE + * If this is defined tvmet uses some compiler specific keywords. + * Mainly, this declares the functions using gcc's + * <tt>__attribute__((always_inline))</tt>. This allows the + * compiler to produce high efficient code even on less + * optimization levels, like gcc's -O2 or even -O! + * This is known to work with gcc v3.3.3 (and higher). + * Using icc's v8 gnuc compatibility mode this may work, I've read + * that it's using as an hint, this means you can have static inline + * functions inside left. + */ +#if !defined(TVMET_OPTIMIZE) +# undef TVMET_CXX_ALWAYS_INLINE +# define TVMET_CXX_ALWAYS_INLINE +#endif + + +/*********************************************************************** + * Namespaces + ***********************************************************************/ + + +/** + * \namespace std + * \brief Imported ISO/IEC 14882:1998 functions from std namespace. + */ + +/** + * \namespace tvmet + * \brief The namespace for the Tiny %Vector %Matrix using Expression Templates Libary. + */ + +/** + * \namespace tvmet::meta + * \brief Meta stuff inside here. + */ + +/** + * \namespace tvmet::loop + * \brief Loop stuff inside here. + */ + +/** + * \namespace tvmet::element_wise + * \brief Operators inside this namespace does elementwise operations. + */ + +/** + * \namespace tvmet::util + * \brief Miscellaneous utility functions used. + */ + + +/*********************************************************************** + * forwards + ***********************************************************************/ +#if defined(TVMET_HAVE_COMPLEX) +namespace std { + template<class T> class complex; +} +#endif + + +/*********************************************************************** + * other stuff + ***********************************************************************/ +#include <tvmet/TvmetBase.h> + + +#endif // TVMET_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End: +// LocalWords: gnuc gcc's icc's std
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/util/General.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,126 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: General.h,v 1.13 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_UTIL_GENERAL_H +#define TVMET_UTIL_GENERAL_H + + +/** forward */ +namespace tvmet { +template<class T, std::size_t Rows, std::size_t Cols> class Matrix; +template<class T, std::size_t Sz> class Vector; +} + +namespace tvmet { + +namespace util { + +/* + * \defgroup _util_function + * \brief Usefull utility functions + */ + +/** + * \fn Gemm(const Matrix<T, Rows, Cols>& m1, const Matrix<T, Rows, Cols>& m2, Matrix<T, Rows, Cols>& m3) + * \brief General matrix matrix multiplication using loops. + * \ingroup _util_function + */ +template<class T, std::size_t Rows, std::size_t Cols> +inline +void +Gemm(const Matrix<T, Rows, Cols>& m1, const Matrix<T, Rows, Cols>& m2, + Matrix<T, Rows, Cols>& m3) +{ + for (std::size_t i = 0; i < Rows; ++i) { + for (std::size_t j = 0; j < Cols; ++j) { + T sum(0); + for (std::size_t k = 0; k < Cols; ++k) { + sum += m1(i,k) * m2(k,j); + } + m3(i,j) = sum; + } + } +} + + +/** + * \fn Gemv(const Matrix<T, Rows, Cols>& m, const Vector<T, Cols>& v, Vector<T, Cols>& v2) + * \brief General matrix vector multiplication using loops. + * \ingroup _util_function + */ +template<class T, std::size_t Rows, std::size_t Cols> +inline +void +Gemv(const Matrix<T, Rows, Cols>& m, const Vector<T, Cols>& v, + Vector<T, Cols>& v2) +{ + for (std::size_t i = 0; i < Rows; ++i){ + v2(i) = T(0); // clean up before use + for (std::size_t j = 0; j < Cols; ++j) { + v2(i) += m(i,j) * v(j); + } + } +} + + +/** + * \fn Gevvmul(const Vector<T, Sz>& v1, const Vector<T, Sz>& v2, Vector<T, Sz>& v3) + * \brief General vector vector elementwise multiplication using loop. + * \ingroup _util_function + */ +template<class T, std::size_t Sz> +inline +void +Gevvmul(const Vector<T, Sz>& v1, const Vector<T, Sz>& v2, + Vector<T, Sz>& v3) +{ + for(std::size_t i = 0; i < Sz; ++i) + v3(i) = v1(i) * v2(i); +} + + +/** + * \fn Gevvadd(const Vector<T, Sz>& v1, const Vector<T, Sz>& v2, Vector<T, Sz>& v3) + * \brief General vector vector elementwise multiplication using loop. + * \ingroup _util_function + */ +template<class T, std::size_t Sz> +inline +void +Gevvadd(const Vector<T, Sz>& v1, const Vector<T, Sz>& v2, + Vector<T, Sz>& v3) +{ + for(std::size_t i = 0; i < Sz; ++i) + v3(i) = v1(i) + v2(i); +} + +} // namespace util + +} // namespace tvmet + +#endif // TVMET_UTIL_GENERAL_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/util/Incrementor.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,91 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Incrementor.h,v 1.7 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_UTIL_INCREMENTOR_H +#define TVMET_UTIL_INCREMENTOR_H + +namespace tvmet { + +namespace util { + + +/** + * \class Incrementor Incrementor.h "tvmet/util/Incrementor.h" + * \brief A simple incrementor class. + * The start value is given at construction time. After + * each access the class increments the internal counter. + * \ingroup _util_function + * + * \par Example: + * \code + * #include <algorithm> + * + * using namespace tvmet; + * + * ... + * + * std::generate(m1.begin(), m1.end(), + * util::Incrementor<typename matrix_type::value_type>()); + * \endcode + */ +template<class T> +struct Incrementor +{ + Incrementor(T start=0) : m_inc(start) { } + T operator()() { m_inc+=1; return m_inc; } + +private: + T m_inc; +}; + + +#if defined(TVMET_HAVE_COMPLEX) +/** + * \class Incrementor< std::complex<T> > Incrementor.h "tvmet/util/Incrementor.h" + * \brief Specialized Incrementor class. + * \ingroup _util_function + */ +template<class T> +struct Incrementor< std::complex<T> > { + Incrementor(const std::complex<T>& start=0) + : m_inc(start) { } + std::complex<T> operator()() { + m_inc += std::complex<T>(1,1); + return m_inc; + } +private: + std::complex<T> m_inc; +}; +#endif // defined(TVMET_HAVE_COMPLEX) + + +} // namespace util + +} // namespace tvmet + +#endif // TVMET_UTIL_INCREMENTOR_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/util/Random.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,101 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Random.h,v 1.7 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_UTIL_RANDOM_H +#define TVMET_UTIL_RANDOM_H + +#include <tvmet/CompileTimeError.h> + +namespace tvmet { + +namespace util { + + +/** + * \class Random Random.h "tvmet/util/Random.h" + * \brief A simple random class. + * On each access this class returns a new random number using + * std::rand(). The range generated is templated by MIN and + * MAX. + * \ingroup _util_function + * + * \par Example: + * \code + * #include <algorithm> + * + * tvmet::Random<int, 0, 100> random; + * + * std::generate(m1.begin(), m1.end(), random()); + * \endcode + */ +template<class T, int MIN=0, int MAX=100> +class Random { + static unsigned int s_seed; +public: + typedef T value_type; + Random() { TVMET_CT_CONDITION(MIN<MAX, wrong_random_range) } + value_type operator()() { + s_seed += (unsigned)std::time(0); + std::srand(s_seed); + return MIN + int(double(MAX) * std::rand()/(double(RAND_MAX)+1.0)); + } +}; +// instance +template<class T, int MIN, int MAX> +unsigned int Random<T, MIN, MAX>::s_seed; + + +#if defined(TVMET_HAVE_COMPLEX) +/** + * \class Random< std::complex<T> > Random.h "tvmet/util/Random.h" + * \brief Specialized Random class. + * \ingroup _util_function + */ +template<class T, int MIN=0, int MAX=100> +class Random { + static unsigned int s_seed; +public: + typedef std::complex<T> value_type; + Random() { TVMET_CT_CONDITION(MIN<MAX, wrong_random_range) } + value_type operator()() { + s_seed += (unsigned)std::time(0); + std::srand(s_seed); + return MIN + int(double(MAX) * std::rand()/(double(RAND_MAX)+1.0)); + } +}; +// instance +template<class T, int MIN, int MAX> +unsigned int Random<std::complex<T>, MIN, MAX>::s_seed; +#endif // defined(TVMET_HAVE_COMPLEX) + + +} // namespace util + +} // namespace tvmet + +#endif // TVMET_UTIL_RANDOM_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/util/Timer.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,98 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Timer.h,v 1.9 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_UTIL_TIMER_H +#define TVMET_UTIL_TIMER_H + +#if defined(TVMET_HAVE_SYS_TIME_H) && defined(TVMET_HAVE_UNISTD_H) +# include <sys/time.h> +# include <sys/resource.h> +# include <unistd.h> +#else +# include <ctime> +#endif + +namespace tvmet { + +namespace util { + +/** + \class Timer Timer.h "tvmet/util/Timer.h" + \brief A quick& dirty portable timer, measures elapsed time. + + It is recommended that implementations measure wall clock rather than CPU + time since the intended use is performance measurement on systems where + total elapsed time is more important than just process or CPU time. + + The accuracy of timings depends on the accuracy of timing information + provided by the underlying platform, and this varies from platform to + platform. +*/ + +class Timer +{ + Timer(const Timer&); + Timer& operator=(const Timer&); + +public: // types + typedef double time_t; + +public: + /** starts the timer immediatly. */ + Timer() { m_start_time = getTime(); } + + /** restarts the timer */ + void restart() { m_start_time = getTime(); } + + /** return elapsed time in seconds */ + time_t elapsed() const { return (getTime() - m_start_time); } + +private: + time_t getTime() const { +#if defined(TVMET_HAVE_SYS_TIME_H) && defined(TVMET_HAVE_UNISTD_H) + getrusage(RUSAGE_SELF, &m_rusage); + time_t sec = m_rusage.ru_utime.tv_sec; // user, no system time + time_t usec = m_rusage.ru_utime.tv_usec; // user, no system time + return sec + usec/1e6; +#else + return static_cast<time_t>(std::clock()) / static_cast<time_t>(CLOCKS_PER_SEC); +#endif + } + +private: +#if defined(TVMET_HAVE_SYS_TIME_H) && defined(TVMET_HAVE_UNISTD_H) + mutable struct rusage m_rusage; +#endif + time_t m_start_time; +}; + +} // namespace util + +} // namespace tvmet + +#endif // TVMET_UTIL_TIMER_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/xpr/BinOperator.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,105 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: BinOperator.h,v 1.19 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_XPR_BINOPERATOR_H +#define TVMET_XPR_BINOPERATOR_H + +#include <tvmet/TypePromotion.h> + +namespace tvmet { + + +/** + * \class XprBinOp BinOperator.h "tvmet/xpr/BinOperator.h" + * \brief Binary operators working on two sub expressions. + * + * On acessing using the index operator() the binary operation will be + * evaluated at compile time. + */ +template<class BinOp, class E1, class E2> +class XprBinOp + : public TvmetBase< XprBinOp<BinOp, E1, E2> > +{ + XprBinOp(); + XprBinOp& operator=(const XprBinOp&); + +public: + typedef typename BinOp::value_type value_type; + +public: + /** Complexity counter. */ + enum { + ops_lhs = E1::ops, + ops_rhs = E2::ops, + ops = 2 * (ops_lhs + ops_rhs) // lhs op rhs + }; + +public: + /** Constructor for two expressions. */ + explicit XprBinOp(const E1& lhs, const E2& rhs) + : m_lhs(lhs), m_rhs(rhs) + { } + + /** Copy Constructor. Not explicit! */ +#if defined(TVMET_OPTIMIZE_XPR_MANUAL_CCTOR) + XprBinOp(const XprBinOp& e) + : m_lhs(e.m_lhs), m_rhs(e.m_rhs) + { } +#endif + + /** Index operator, evaluates the expression inside. */ + value_type operator()(std::size_t i) const { + return BinOp::apply_on(m_lhs(i), m_rhs(i)); + } + + /** Index operator for arrays/matrices */ + value_type operator()(std::size_t i, std::size_t j) const { + return BinOp::apply_on(m_lhs(i, j), m_rhs(i, j)); + } + +public: // debugging Xpr parse tree + void print_xpr(std::ostream& os, std::size_t l=0) const { + os << IndentLevel(l++) + << "XprBinOp[O="<< ops << ", (O1=" << ops_lhs << ", O2=" << ops_rhs << ")]<" + << std::endl; + BinOp::print_xpr(os, l); + m_lhs.print_xpr(os, l); + m_rhs.print_xpr(os, l); + os << IndentLevel(--l) + << ">," << std::endl; + } + +private: + const E1 m_lhs; + const E2 m_rhs; +}; + + +} // namespace tvmet + +#endif // TVMET_XPR_BINOPERATOR_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/xpr/Eval.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,116 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Eval.h,v 1.13 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_XPR_EVAL_H +#define TVMET_XPR_EVAL_H + +namespace tvmet { + + +/** + * \class XprEval Eval.h "tvmet/xpr/Eval.h" + * \brief evaluate the expression + * + * Since we can't overwrite the ? operator we have to write a wrapper + * for expression like return v1>v2 ? true : false + */ +template<class E1, class E2, class E3> +class XprEval + : public TvmetBase< XprEval<E1, E2, E3> > +{ +public: + typedef E1 expr1_type; + typedef E2 expr2_type; + typedef E3 expr3_type; + + typedef typename expr2_type::value_type value2_type; + typedef typename expr3_type::value_type value3_type; + + typedef typename + PromoteTraits<value2_type, value3_type>::value_type value_type; + +public: + /** Complexity Counter */ + enum { + ops_expr1 = E1::ops, + ops_expr2 = E2::ops, + ops_expr3 = E3::ops, + ops = ops_expr1 // only (e1 op e2) are evaluated + }; + +private: + XprEval(); + XprEval& operator=(const XprEval<expr1_type, expr2_type, expr3_type>&); + +public: + /** Constructor */ + explicit XprEval(const expr1_type& e1, const expr2_type& e2, const expr3_type& e3) + : m_expr1(e1), m_expr2(e2), m_expr3(e3) + { } + + /** Copy Constructor. Not explicit! */ +#if defined(TVMET_OPTIMIZE_XPR_MANUAL_CCTOR) + XprEval(const XprEval& rhs) + : m_expr1(rhs.m_expr1), m_expr2(rhs.m_expr2), m_expr3(rhs.m_expr3) + { } +#endif + +public: //access + /** index operator for vectors. */ + value_type operator()(std::size_t i) const { + return m_expr1(i) ? m_expr2(i) : m_expr3(i); + } + + /** index operator for matrizes. */ + value_type operator()(std::size_t i, std::size_t j) const { + return m_expr1(i, j) ? m_expr2(i, j) : m_expr3(i, j); + } + +public: // debugging Xpr parse tree + void print_xpr(std::ostream& os, std::size_t l=0) const { + os << IndentLevel(l++) + << "XprEval[" << ops << ", (" + << ops_expr1 << ", " << ops_expr2 << ", " << ops_expr3 << ")]<" + << std::endl; + m_expr1.print_xpr(os, l); + m_expr2.print_xpr(os, l); + m_expr3.print_xpr(os, l); + os << IndentLevel(--l) + << ">," << std::endl; + } + +private: + const expr1_type m_expr1; + const expr2_type m_expr2; + const expr3_type m_expr3; +}; + + +} // namespace tvmet + +#endif // TVMET_XPR_EVAL_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/xpr/Identity.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,68 @@ +/* + * $Id: Identity.h,v 1.4 2006-11-21 18:43:09 opetzold Exp $ + */ + +#ifndef TVMET_XPR_IDENTITY_H +#define TVMET_XPR_IDENTITY_H + + +namespace tvmet { + + +/** + * \class XprIdentity Identity.h "tvmet/xpr/Identity.h" + * \brief Expression for the identity matrix. + * + * This expression doesn't hold any other expression, it + * simply returns 1 or 0 depends where the row and column + * element excess is done. + * + * \since release 1.6.0 + * \sa identity + */ +template<class T, std::size_t Rows, std::size_t Cols> +struct XprIdentity + : public TvmetBase< XprIdentity<T, Rows, Cols> > +{ + XprIdentity& operator=(const XprIdentity&); + +public: + typedef T value_type; + +public: + /** Complexity counter. */ + enum { + ops_assign = Rows * Cols, + ops = ops_assign + }; + +public: + /** access by index. */ + value_type operator()(std::size_t i, std::size_t j) const { + return i==j ? 1 : 0; + } + +public: // debugging Xpr parse tree + void print_xpr(std::ostream& os, std::size_t l=0) const { + os << IndentLevel(l++) + << "XprIdentity[O="<< ops << ")]<" + << std::endl; + os << IndentLevel(l) + << typeid(T).name() << "," + << "R=" << Rows << ", C=" << Cols << std::endl; + os << IndentLevel(--l) << ">" + << ((l != 0) ? "," : "") << std::endl; + } +}; + + +} // namespace tvmet + + +#endif // TVMET_XPR_IDENTITY_H + + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/xpr/Literal.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,90 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Literal.h,v 1.13 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_XPR_LITERAL_H +#define TVMET_XPR_LITERAL_H + +namespace tvmet { + + +/** + * \class XprLiteral Literal.h "tvmet/xpr/Literal.h" + * \brief Specify literals like scalars into the expression. + * This expression is used for vectors and matrices - the + * decision is done by the access operator. + */ +template<class T> +class XprLiteral + : public TvmetBase< XprLiteral<T> > +{ + XprLiteral(); + XprLiteral& operator=(const XprLiteral&); + +public: + typedef T value_type; + +public: + /** Complexity counter. */ + enum { + ops = 1 + }; + +public: + /** Constructor by value for literals . */ + explicit XprLiteral(value_type value) + : m_data(value) + { } + + /** Copy Constructor. Not explicit! */ +#if defined(TVMET_OPTIMIZE_XPR_MANUAL_CCTOR) + XprLiteral(const XprLiteral& e) + : m_data(e.m_data) + { } +#endif + + /** Index operator, gives the value for vectors. */ + value_type operator()(std::size_t) const { return m_data; } + + /** Index operator for arrays/matrices. */ + value_type operator()(std::size_t, std::size_t) const { return m_data; } + +public: // debugging Xpr parse tree + void print_xpr(std::ostream& os, std::size_t l=0) const { + os << IndentLevel(l++) << "XprLiteral[O=" << ops << "]<T=" + << typeid(value_type).name() + << ">," << std::endl; + } + +private: + const value_type m_data; +}; + + +} // namespace tvmet + +#endif // TVMET_XPR_LITERAL_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/xpr/MMProduct.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,135 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: MMProduct.h,v 1.24 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_XPR_MMPRODUCT_H +#define TVMET_XPR_MMPRODUCT_H + +#include <tvmet/meta/Gemm.h> +#include <tvmet/loop/Gemm.h> + +namespace tvmet { + + +/** + * \class XprMMProduct MMProduct.h "tvmet/xpr/MMProduct.h" + * \brief Expression for matrix-matrix product. + * Using formula: + * \f[ + * M_1\,M_2 + * \f] + * \note The Rows2 has to be equal to Cols1. + */ +template<class E1, std::size_t Rows1, std::size_t Cols1, + class E2, std::size_t Cols2> +class XprMMProduct + : public TvmetBase< XprMMProduct<E1, Rows1, Cols1, E2, Cols2> > +{ +private: + XprMMProduct(); + XprMMProduct& operator=(const XprMMProduct&); + +public: + typedef typename PromoteTraits< + typename E1::value_type, + typename E2::value_type + >::value_type value_type; + +public: + /** Complexity counter. */ + enum { + ops_lhs = E1::ops, + ops_rhs = E2::ops, + M = Rows1 * Cols1 * Cols2, + N = Rows1 * (Cols1 - 1) * Cols2, + ops_plus = M * NumericTraits<value_type>::ops_plus, + ops_muls = N * NumericTraits<value_type>::ops_muls, + ops = ops_plus + ops_muls, + use_meta = Rows1*Cols2 < TVMET_COMPLEXITY_MM_TRIGGER ? true : false + }; + +public: + /** Constructor. */ + explicit XprMMProduct(const E1& lhs, const E2& rhs) + : m_lhs(lhs), m_rhs(rhs) + { } + + /** Copy Constructor. Not explicit! */ +#if defined(TVMET_OPTIMIZE_XPR_MANUAL_CCTOR) + XprMMProduct(const XprMMProduct& e) + : m_lhs(e.m_lhs), m_rhs(e.m_rhs) + { } +#endif + +private: + /** Wrapper for meta gemm. */ + static inline + value_type do_gemm(dispatch<true>, const E1& lhs, const E2& rhs, std::size_t i, std::size_t j) { + return meta::gemm<Rows1, Cols1, + Cols2, + 0>::prod(lhs, rhs, i, j); + } + + /** Wrapper for loop gemm. */ + static inline + value_type do_gemm(dispatch<false>, const E1& lhs, const E2& rhs, std::size_t i, std::size_t j) { + return loop::gemm<Rows1, Cols1, Cols2>::prod(lhs, rhs, i, j); + } + +public: + /** index operator for arrays/matrices */ + value_type operator()(std::size_t i, std::size_t j) const { + TVMET_RT_CONDITION((i < Rows1) && (j < Cols2), "XprMMProduct Bounce Violation") + return do_gemm(dispatch<use_meta>(), m_lhs, m_rhs, i, j); + } + +public: // debugging Xpr parse tree + void print_xpr(std::ostream& os, std::size_t l=0) const { + os << IndentLevel(l++) + << "XprMMProduct[" + << (use_meta ? "M" : "L") << ", O=" << ops + << ", (O1=" << ops_lhs << ", O2=" << ops_rhs << ")]<" + << std::endl; + m_lhs.print_xpr(os, l); + os << IndentLevel(l) + << "R1=" << Rows1 << ", C1=" << Cols1 << ",\n"; + m_rhs.print_xpr(os, l); + os << IndentLevel(l) + << "C2=" << Cols2 << ",\n"; + os << IndentLevel(--l) + << ">," << std::endl; + } + +private: + const E1 m_lhs; + const E2 m_rhs; +}; + + +} // namespace tvmet + +#endif // TVMET_XPR_MMPRODUCT_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/xpr/MMProductTransposed.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,137 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: MMProductTransposed.h,v 1.20 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_XPR_MMPRODUCT_TRANSPOSED_H +#define TVMET_XPR_MMPRODUCT_TRANSPOSED_H + +#include <tvmet/meta/Gemm.h> +#include <tvmet/loop/Gemm.h> + +namespace tvmet { + + +/** + * \class XprMMProductTransposed MMProductTransposed.h "tvmet/xpr/MMProductTransposed.h" + * \brief Expression for transpose(matrix-matrix product). + * Using formula: + * \f[ + * (M_1\,M_2)^T + * \f] + * \note The Rows2 has to be equal to Cols1. + * The result is a (Cols2 x Rows1) matrix. + */ +template<class E1, std::size_t Rows1, std::size_t Cols1, + class E2, std::size_t Cols2> +class XprMMProductTransposed + : public TvmetBase< XprMMProductTransposed<E1, Rows1, Cols1, E2, Cols2> > +{ +private: + XprMMProductTransposed(); + XprMMProductTransposed& operator=(const XprMMProductTransposed&); + +public: + typedef typename PromoteTraits< + typename E1::value_type, + typename E2::value_type + >::value_type value_type; + +public: + /** Complexity counter. */ + enum { + ops_lhs = E1::ops, + ops_rhs = E2::ops, + M = Rows1 * Cols1 * Cols2, + N = Rows1 * (Cols1-1) * Cols2, + ops_plus = M * NumericTraits<value_type>::ops_plus, + ops_muls = N * NumericTraits<value_type>::ops_muls, + ops = ops_plus + ops_muls, + use_meta = Cols2*Rows1 < TVMET_COMPLEXITY_MM_TRIGGER ? true : false + }; + +public: + /** Constructor. */ + explicit XprMMProductTransposed(const E1& lhs, const E2& rhs) + : m_lhs(lhs), m_rhs(rhs) { } + + /** Copy Constructor. Not explicit! */ +#if defined(TVMET_OPTIMIZE_XPR_MANUAL_CCTOR) + XprMMProductTransposed(const XprMMProductTransposed& e) + : m_lhs(e.m_lhs), m_rhs(e.m_rhs) + { } +#endif + +private: + /** Wrapper for meta gemm. */ + static inline + value_type do_gemm(dispatch<true>, const E1& lhs, const E2& rhs, std::size_t i, std::size_t j) { + return meta::gemm<Rows1, Cols1, + Cols2, + 0>::prod(lhs, rhs, i, j); + } + + /** Wrapper for loop gemm. */ + static inline + value_type do_gemm(dispatch<false>, const E1& lhs, const E2& rhs, std::size_t i, std::size_t j) { + return loop::gemm<Rows1, Cols1, Cols2>::prod(lhs, rhs, i, j); + } + +public: + /** index operator for arrays/matrices */ + value_type operator()(std::size_t i, std::size_t j) const { + TVMET_RT_CONDITION((i < Cols2) && (j < Rows1), "XprMMProductTransposed Bounce Violation") + return do_gemm(dispatch<use_meta>(), m_lhs, m_rhs, j, i); + } + +public: // debugging Xpr parse tree + void print_xpr(std::ostream& os, std::size_t l=0) const { + os << IndentLevel(l++) + << "XprMMProductTransposed[" + << (use_meta ? "M" : "L") << ", O=" << ops + << ", (O1=" << ops_lhs << ", O2=" << ops_rhs << ")]<" + << std::endl; + m_lhs.print_xpr(os, l); + os << IndentLevel(l) + << "R1=" << Rows1 << ", C1=" << Cols1 << ",\n"; + m_rhs.print_xpr(os, l); + os << IndentLevel(l) + << "C2=" << Cols2 << ",\n" + << IndentLevel(l) + << "\n" + << IndentLevel(--l) + << ">," << std::endl; + } + +private: + const E1 m_lhs; + const E2 m_rhs; +}; + + +} // namespace tvmet + +#endif // TVMET_XPR_MMPRODUCT_TRANSPOSED_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/xpr/MMtProduct.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,138 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: MMtProduct.h,v 1.20 2007-06-23 15:58:59 opetzold Exp $ + */ + +#ifndef TVMET_XPR_MMTPRODUCT_H +#define TVMET_XPR_MMTPRODUCT_H + +#include <tvmet/meta/Gemmt.h> +#include <tvmet/loop/Gemmt.h> + +namespace tvmet { + + +/** + * \class XprMMtProduct MMtProduct.h "tvmet/xpr/MMtProduct.h" + * \brief Expression for matrix-matrix product. + * Using formula: + * \f[ + * M_1\,M_2^T + * \f] + * \note The number of cols of rhs matrix have to be equal to cols of rhs matrix. + * The result is a (Rows1 x Rows2) matrix. + */ +template<class E1, std::size_t Rows1, std::size_t Cols1, + class E2, std::size_t Cols2> +class XprMMtProduct + : public TvmetBase< XprMMtProduct<E1, Rows1, Cols1, E2, Cols2> > +{ +private: + XprMMtProduct(); + XprMMtProduct& operator=(const XprMMtProduct&); + +public: + typedef typename PromoteTraits< + typename E1::value_type, + typename E2::value_type + >::value_type value_type; + +public: + /** Complexity counter. */ + enum { + ops_lhs = E1::ops, + ops_rhs = E2::ops, + Rows2 = Cols1, + M = Rows1 * Cols1 * Rows1, + N = Rows1 * (Cols1 - 1) * Rows2, + ops_plus = M * NumericTraits<value_type>::ops_plus, + ops_muls = N * NumericTraits<value_type>::ops_muls, + ops = ops_plus + ops_muls, + use_meta = Rows1*Rows2 < TVMET_COMPLEXITY_MM_TRIGGER ? true : false + }; + +public: + /** Constructor. */ + explicit XprMMtProduct(const E1& lhs, const E2& rhs) + : m_lhs(lhs), m_rhs(rhs) + { } + + /** Copy Constructor. Not explicit! */ +#if defined(TVMET_OPTIMIZE_XPR_MANUAL_CCTOR) + XprMMtProduct(const XprMMtProduct& e) + : m_lhs(e.m_lhs), m_rhs(e.m_rhs) + { } +#endif + +private: + /** Wrapper for meta gemm. */ + static inline + value_type do_gemmt(dispatch<true>, const E1& lhs, const E2& rhs, std::size_t i, std::size_t j) { + return meta::gemmt<Rows1, Cols1, + Cols2, + 0>::prod(lhs, rhs, i, j); + } + + /** Wrapper for loop gemm. */ + static inline + value_type do_gemmt(dispatch<false>, const E1& lhs, const E2& rhs, std::size_t i, std::size_t j) { + return loop::gemmt<Rows1, Cols1, Cols1>::prod(lhs, rhs, i, j); + } + +public: + /** index operator for arrays/matrices */ + value_type operator()(std::size_t i, std::size_t j) const { + TVMET_RT_CONDITION((i < Rows1) && (j < Rows2), "XprMMtProduct Bounce Violation") + return do_gemmt(dispatch<use_meta>(), m_lhs, m_rhs, i, j); + } + +public: // debugging Xpr parse tree + void print_xpr(std::ostream& os, std::size_t l=0) const { + os << IndentLevel(l++) + << "XprMMtProduct[" + << (use_meta ? "M" : "L") << ", O=" << ops + << ", (O1=" << ops_lhs << ", O2=" << ops_rhs << ")]<" + << std::endl; + m_lhs.print_xpr(os, l); + os << IndentLevel(l) + << "R1=" << Rows1 << ", C1=" << Cols1 << ",\n"; + m_rhs.print_xpr(os, l); + os << IndentLevel(l) + << "C2=" << Cols2 << ",\n" + << "\n" + << IndentLevel(--l) + << ">," << std::endl; + } + +private: + const E1 m_lhs; + const E2 m_rhs; +}; + + +} // namespace tvmet + +#endif // TVMET_XPR_MMTPRODUCT_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/xpr/MVProduct.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,131 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: MVProduct.h,v 1.21 2007-06-23 15:59:00 opetzold Exp $ + */ + +#ifndef TVMET_XPR_MVPRODUCT_H +#define TVMET_XPR_MVPRODUCT_H + +#include <tvmet/meta/Gemv.h> +#include <tvmet/loop/Gemv.h> + +namespace tvmet { + + +/** + * \class XprMVProduct MVProduct.h "tvmet/xpr/MVProduct.h" + * \brief Expression for matrix-vector product + * using formula + * \f[ + * M\,v + * \f] + */ +template<class E1, std::size_t Rows, std::size_t Cols, + class E2> +class XprMVProduct + : public TvmetBase< XprMVProduct<E1, Rows, Cols, E2> > +{ + XprMVProduct(); + XprMVProduct& operator=(const XprMVProduct&); + +public: + typedef typename PromoteTraits< + typename E1::value_type, + typename E2::value_type + >::value_type value_type; + +public: + /** Complexity counter. */ + enum { + ops_lhs = E1::ops, + ops_rhs = E2::ops, + M = Rows * Cols, + N = Rows * (Cols - 1), + ops_plus = M * NumericTraits<value_type>::ops_plus, + ops_muls = N * NumericTraits<value_type>::ops_muls, + ops = ops_plus + ops_muls, + use_meta = Rows*Cols < TVMET_COMPLEXITY_MV_TRIGGER ? true : false + }; + +public: + /** Constructor. */ + explicit XprMVProduct(const E1& lhs, const E2& rhs) + : m_lhs(lhs), m_rhs(rhs) + { } + + /** Copy Constructor. Not explicit! */ +#if defined(TVMET_OPTIMIZE_XPR_MANUAL_CCTOR) + XprMVProduct(const XprMVProduct& e) + : m_lhs(e.m_lhs), m_rhs(e.m_rhs) + { } +#endif + +private: + /** Wrapper for meta gemm. */ + static inline + value_type do_gemv(dispatch<true>, const E1& lhs, const E2& rhs, std::size_t j) { + return meta::gemv<Rows, Cols, + 0>::prod(lhs, rhs, j); + } + + /** Wrapper for loop gemm. */ + static inline + value_type do_gemv(dispatch<false>, const E1& lhs, const E2& rhs, std::size_t j) { + return loop::gemv<Rows, Cols>::prod(lhs, rhs, j); + } + +public: + /** index operator, returns the expression by index. This is the vector + style since a matrix*vector gives a vector. */ + value_type operator()(std::size_t j) const { + TVMET_RT_CONDITION(j < Rows , "XprMVProduct Bounce Violation") + return do_gemv(dispatch<use_meta>(), m_lhs, m_rhs, j); + } + +public: // debugging Xpr parse tree + void print_xpr(std::ostream& os, std::size_t l=0) const { + os << IndentLevel(l++) + << "XprMVProduct[" + << (use_meta ? "M" : "L") << ", O=" << ops + << ", (O1=" << ops_lhs << ", O2=" << ops_rhs << ")]<" + << std::endl; + m_lhs.print_xpr(os, l); + os << IndentLevel(l) + << "R=" << Rows << ", C=" << Cols << ",\n"; + m_rhs.print_xpr(os, l); + os << IndentLevel(--l) + << ">," << std::endl; + } + +private: + const E1 m_lhs; + const E2 m_rhs; +}; + + +} // namespace tvmet + +#endif // TVMET_XPR_MVPRODUCT_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/xpr/Matrix.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,165 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * lesser General Public License for more details. + * + * You should have received a copy of the GNU lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Matrix.h,v 1.26 2007-06-23 15:59:00 opetzold Exp $ + */ + +#ifndef TVMET_XPR_MATRIX_H +#define TVMET_XPR_MATRIX_H + +#include <tvmet/meta/Matrix.h> +#include <tvmet/loop/Matrix.h> + +namespace tvmet { + + +/* forwards */ +template <class T, std::size_t Rows, std::size_t Cols> class Matrix; + +/** + * \class XprMatrix Matrix.h "tvmet/xpr/Matrix.h" + * \brief Represents the expression for vectors at any node in the parse tree. + * + * Specifically, XprMatrix is the class that wraps the expression, and the + * expression itself is represented by the template parameter E. The + * class XprMatrix is known as an anonymizing expression wrapper because + * it can hold any subexpression of arbitrary complexity, allowing + * clients to work with any expression by holding on to it via the + * wrapper, without having to know the name of the type object that + * actually implements the expression. + * \note leave the CCtors non-explicit to allow implicit type conversation. + */ +template<class E, std::size_t NRows, std::size_t NCols> +class XprMatrix + : public TvmetBase< XprMatrix<E, NRows, NCols> > +{ + XprMatrix(); + XprMatrix& operator=(const XprMatrix&); + +public: + /** Dimensions. */ + enum { + Rows = NRows, /**< Number of rows. */ + Cols = NCols, /**< Number of cols. */ + Size = Rows * Cols /**< Complete Size of Matrix. */ + }; + +public: + /** Complexity counter. */ + enum { + ops_assign = Rows * Cols, + ops = E::ops, + use_meta = ops_assign < TVMET_COMPLEXITY_M_ASSIGN_TRIGGER ? true : false + }; + +public: + typedef typename E::value_type value_type; + +public: + /** Constructor. */ + explicit XprMatrix(const E& e) + : m_expr(e) + { } + + /** Copy Constructor. Not explicit! */ +#if defined(TVMET_OPTIMIZE_XPR_MANUAL_CCTOR) + XprMatrix(const XprMatrix& rhs) + : m_expr(rhs.m_expr) + { } +#endif + + /** access by index. */ + value_type operator()(std::size_t i, std::size_t j) const { + TVMET_RT_CONDITION((i < Rows) && (j < Cols), "XprMatrix Bounce Violation") + return m_expr(i, j); + } + +private: + /** Wrapper for meta assign. */ + template<class Dest, class Src, class Assign> + static inline + void do_assign(dispatch<true>, Dest& dest, const Src& src, const Assign& assign_fn) { + meta::Matrix<Rows, Cols, 0, 0>::assign(dest, src, assign_fn); + } + + /** Wrapper for loop assign. */ + template<class Dest, class Src, class Assign> + static inline + void do_assign(dispatch<false>, Dest& dest, const Src& src, const Assign& assign_fn) { + loop::Matrix<Rows, Cols>::assign(dest, src, assign_fn); + } + +public: + /** assign this expression to Matrix dest. */ + template<class Dest, class Assign> + void assign_to(Dest& dest, const Assign& assign_fn) const { + /* here is a way for caching, since each complex 'Node' + is of type XprMatrix. */ + do_assign(dispatch<use_meta>(), dest, *this, assign_fn); + } + +public: // debugging Xpr parse tree + void print_xpr(std::ostream& os, std::size_t l=0) const { + os << IndentLevel(l++) + << "XprMatrix[" + << (use_meta ? "M" : "L") << ", O=" << ops << "]<" + << std::endl; + m_expr.print_xpr(os, l); + os << IndentLevel(l) + << "R=" << Rows << ", C=" << Cols << std::endl; + os << IndentLevel(--l) << ">" + << ((l != 0) ? "," : "") << std::endl; + } + +private: + const E m_expr; +}; + + +} // namespace tvmet + +#include <tvmet/Functional.h> + +#include <tvmet/xpr/BinOperator.h> +#include <tvmet/xpr/UnOperator.h> +#include <tvmet/xpr/Literal.h> + +#include <tvmet/xpr/Identity.h> + +#include <tvmet/xpr/MMProduct.h> +#include <tvmet/xpr/MMProductTransposed.h> +#include <tvmet/xpr/MMtProduct.h> +#include <tvmet/xpr/MtMProduct.h> +#include <tvmet/xpr/MVProduct.h> +#include <tvmet/xpr/MtVProduct.h> +#include <tvmet/xpr/MatrixTranspose.h> + +#include <tvmet/xpr/MatrixFunctions.h> +#include <tvmet/xpr/MatrixBinaryFunctions.h> +#include <tvmet/xpr/MatrixUnaryFunctions.h> +#include <tvmet/xpr/MatrixOperators.h> +#include <tvmet/xpr/Eval.h> + +#endif // TVMET_XPR_MATRIX_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/xpr/MatrixBinaryFunctions.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,318 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * lesser General Public License for more details. + * + * You should have received a copy of the GNU lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: MatrixBinaryFunctions.h,v 1.12 2007-06-23 15:59:00 opetzold Exp $ + */ + +#ifndef TVMET_XPR_MATRIX_BINARY_FUNCTIONS_H +#define TVMET_XPR_MATRIX_BINARY_FUNCTIONS_H + +namespace tvmet { + + +/********************************************************* + * PART I: DECLARATION + *********************************************************/ + +/* + * binary_function(XprMatrix<E1, Rows, Cols>, XprMatrix<E2, Rows, Cols>) + */ +#define TVMET_DECLARE_MACRO(NAME) \ +template<class E1, std::size_t Rows, std::size_t Cols, class E2> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \ + XprMatrix<E1, Rows, Cols>, \ + XprMatrix<E2, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME(const XprMatrix<E1, Rows, Cols>& lhs, \ + const XprMatrix<E2, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(atan2) +TVMET_DECLARE_MACRO(drem) +TVMET_DECLARE_MACRO(fmod) +TVMET_DECLARE_MACRO(hypot) +TVMET_DECLARE_MACRO(jn) +TVMET_DECLARE_MACRO(yn) +TVMET_DECLARE_MACRO(pow) +#if defined(TVMET_HAVE_COMPLEX) + //TVMET_DECLARE_MACRO(polar) +#endif + +#undef TVMET_DECLARE_MACRO + + +/* + * binary_function(XprMatrix<E, Rows, Cols>, POD) + */ +#define TVMET_DECLARE_MACRO(NAME, TP) \ +template<class E, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, TP >, \ + XprMatrix<E, Rows, Cols>, \ + XprLiteral< TP > \ + >, \ + Rows, Cols \ +> \ +NAME(const XprMatrix<E, Rows, Cols>& lhs, \ + TP rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(atan2, int) +TVMET_DECLARE_MACRO(drem, int) +TVMET_DECLARE_MACRO(fmod, int) +TVMET_DECLARE_MACRO(hypot, int) +TVMET_DECLARE_MACRO(jn, int) +TVMET_DECLARE_MACRO(yn, int) +TVMET_DECLARE_MACRO(pow, int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_DECLARE_MACRO(atan2, long long int) +TVMET_DECLARE_MACRO(drem, long long int) +TVMET_DECLARE_MACRO(fmod, long long int) +TVMET_DECLARE_MACRO(hypot, long long int) +TVMET_DECLARE_MACRO(jn, long long int) +TVMET_DECLARE_MACRO(yn,long long int) +TVMET_DECLARE_MACRO(pow, long long int) +#endif // defined(TVMET_HAVE_LONG_LONG) + +TVMET_DECLARE_MACRO(atan2, float) +TVMET_DECLARE_MACRO(drem, float) +TVMET_DECLARE_MACRO(fmod, float) +TVMET_DECLARE_MACRO(hypot, float) +TVMET_DECLARE_MACRO(jn, float) +TVMET_DECLARE_MACRO(yn, float) +TVMET_DECLARE_MACRO(pow, float) + +TVMET_DECLARE_MACRO(atan2, double) +TVMET_DECLARE_MACRO(drem, double) +TVMET_DECLARE_MACRO(fmod, double) +TVMET_DECLARE_MACRO(hypot,double) +TVMET_DECLARE_MACRO(jn, double) +TVMET_DECLARE_MACRO(yn, double) +TVMET_DECLARE_MACRO(pow, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_DECLARE_MACRO(atan2, long double) +TVMET_DECLARE_MACRO(drem, long double) +TVMET_DECLARE_MACRO(fmod, long double) +TVMET_DECLARE_MACRO(hypot, long double) +TVMET_DECLARE_MACRO(jn, long double) +TVMET_DECLARE_MACRO(yn, long double) +TVMET_DECLARE_MACRO(pow, long double) +#endif // defined(TVMET_HAVE_LONG_DOUBLE) + +#undef TVMET_DECLARE_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * binary_function(XprMatrix<E, Rows, Cols>, std::complex<>) + */ +#define TVMET_DECLARE_MACRO(NAME) \ +template<class E, std::size_t Rows, std::size_t Cols, class T> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, std::complex<T> >, \ + XprMatrix<E, Rows, Cols>, \ + XprLiteral< std::complex<T> > \ + >, \ + Rows, Cols \ +> \ +NAME(const XprMatrix<E, Rows, Cols>& lhs, \ + const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(pow) + +TVMET_DECLARE_MACRO(atan2) +TVMET_DECLARE_MACRO(drem) +TVMET_DECLARE_MACRO(fmod) +TVMET_DECLARE_MACRO(hypot) +TVMET_DECLARE_MACRO(jn) +TVMET_DECLARE_MACRO(yn) + +#undef TVMET_DECLARE_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/********************************************************* + * PART II: IMPLEMENTATION + *********************************************************/ + + +/* + * binary_function(XprMatrix<E1, Rows, Cols>, XprMatrix<E2, Rows, Cols>) + */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class E1, std::size_t Rows, std::size_t Cols, class E2> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \ + XprMatrix<E1, Rows, Cols>, \ + XprMatrix<E2, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME(const XprMatrix<E1, Rows, Cols>& lhs, const XprMatrix<E2, Rows, Cols>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \ + XprMatrix<E1, Rows, Cols>, \ + XprMatrix<E2, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(lhs, rhs)); \ +} + +TVMET_IMPLEMENT_MACRO(atan2) +TVMET_IMPLEMENT_MACRO(drem) +TVMET_IMPLEMENT_MACRO(fmod) +TVMET_IMPLEMENT_MACRO(hypot) +TVMET_IMPLEMENT_MACRO(jn) +TVMET_IMPLEMENT_MACRO(yn) +TVMET_IMPLEMENT_MACRO(pow) +#if defined(TVMET_HAVE_COMPLEX) + //TVMET_IMPLEMENT_MACRO(polar) +#endif + +#undef TVMET_IMPLEMENT_MACRO + + +/* + * binary_function(XprMatrix<E, Rows, Cols>, POD) + */ +#define TVMET_IMPLEMENT_MACRO(NAME, TP) \ +template<class E, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, TP >, \ + XprMatrix<E, Rows, Cols>, \ + XprLiteral< TP > \ + >, \ + Rows, Cols \ +> \ +NAME(const XprMatrix<E, Rows, Cols>& lhs, TP rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<typename E::value_type, TP >, \ + XprMatrix<E, Rows, Cols>, \ + XprLiteral< TP > \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(lhs, XprLiteral< TP >(rhs))); \ +} + +TVMET_IMPLEMENT_MACRO(atan2, int) +TVMET_IMPLEMENT_MACRO(drem, int) +TVMET_IMPLEMENT_MACRO(fmod, int) +TVMET_IMPLEMENT_MACRO(hypot, int) +TVMET_IMPLEMENT_MACRO(jn, int) +TVMET_IMPLEMENT_MACRO(yn, int) +TVMET_IMPLEMENT_MACRO(pow, int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_IMPLEMENT_MACRO(atan2, long long int) +TVMET_IMPLEMENT_MACRO(drem, long long int) +TVMET_IMPLEMENT_MACRO(fmod, long long int) +TVMET_IMPLEMENT_MACRO(hypot, long long int) +TVMET_IMPLEMENT_MACRO(jn, long long int) +TVMET_IMPLEMENT_MACRO(yn,long long int) +TVMET_IMPLEMENT_MACRO(pow, long long int) +#endif // defined(TVMET_HAVE_LONG_LONG) + +TVMET_IMPLEMENT_MACRO(atan2, float) +TVMET_IMPLEMENT_MACRO(drem, float) +TVMET_IMPLEMENT_MACRO(fmod, float) +TVMET_IMPLEMENT_MACRO(hypot, float) +TVMET_IMPLEMENT_MACRO(jn, float) +TVMET_IMPLEMENT_MACRO(yn, float) +TVMET_IMPLEMENT_MACRO(pow, float) + +TVMET_IMPLEMENT_MACRO(atan2, double) +TVMET_IMPLEMENT_MACRO(drem, double) +TVMET_IMPLEMENT_MACRO(fmod, double) +TVMET_IMPLEMENT_MACRO(hypot,double) +TVMET_IMPLEMENT_MACRO(jn, double) +TVMET_IMPLEMENT_MACRO(yn, double) +TVMET_IMPLEMENT_MACRO(pow, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_IMPLEMENT_MACRO(atan2, long double) +TVMET_IMPLEMENT_MACRO(drem, long double) +TVMET_IMPLEMENT_MACRO(fmod, long double) +TVMET_IMPLEMENT_MACRO(hypot, long double) +TVMET_IMPLEMENT_MACRO(jn, long double) +TVMET_IMPLEMENT_MACRO(yn, long double) +TVMET_IMPLEMENT_MACRO(pow, long double) +#endif // defined(TVMET_HAVE_LONG_DOUBLE) + +#undef TVMET_IMPLEMENT_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * binary_function(XprMatrix<E, Rows, Cols>, std::complex<>) + */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class E, std::size_t Rows, std::size_t Cols, class T> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, std::complex<T> >, \ + XprMatrix<E, Rows, Cols>, \ + XprLiteral< std::complex<T> > \ + >, \ + Rows, Cols \ +> \ +NAME(const XprMatrix<E, Rows, Cols>& lhs, const std::complex<T>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<typename E::value_type, std::complex<T> >, \ + XprMatrix<E, Rows, Cols>, \ + XprLiteral< std::complex<T> > \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(lhs, XprLiteral< std::complex<T> >(rhs))); \ +} + +TVMET_IMPLEMENT_MACRO(pow) + +TVMET_IMPLEMENT_MACRO(atan2) +TVMET_IMPLEMENT_MACRO(drem) +TVMET_IMPLEMENT_MACRO(fmod) +TVMET_IMPLEMENT_MACRO(hypot) +TVMET_IMPLEMENT_MACRO(jn) +TVMET_IMPLEMENT_MACRO(yn) + +#undef TVMET_IMPLEMENT_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +} // namespace tvmet + +#endif // TVMET_XPR_MATRIX_BINARY_FUNCTIONS_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/xpr/MatrixCol.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,96 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * lesser General Public License for more details. + * + * You should have received a copy of the GNU lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: MatrixCol.h,v 1.19 2007-06-23 15:59:00 opetzold Exp $ + */ + +#ifndef TVMET_XPR_MATRIX_COL_H +#define TVMET_XPR_MATRIX_COL_H + +namespace tvmet { + + +/** + * \class XprMatrixCol MatrixCol.h "tvmet/xpr/MatrixCol.h" + * \brief Expression on matrix used for access on the column vector. + */ +template<class E, std::size_t Rows, std::size_t Cols> +class XprMatrixCol + : public TvmetBase< XprMatrixCol<E, Rows, Cols> > +{ + XprMatrixCol(); + XprMatrixCol& operator=(const XprMatrixCol&); + +public: + typedef typename E::value_type value_type; + +public: + /** Complexity counter. */ + enum { + ops_expr = E::ops, + ops = ops_expr/Cols // equal Row accesses + }; + +public: + /** Constructor. */ + explicit XprMatrixCol(const E& e, std::size_t no) + : m_expr(e), m_col(no) + { + TVMET_RT_CONDITION(no < Cols, "XprMatrixCol Bounce Violation") + } + + /** Copy Constructor. Not explicit! */ +#if defined(TVMET_OPTIMIZE_XPR_MANUAL_CCTOR) + XprMatrixCol(const XprMatrixCol& e) + : m_expr(e.m_expr), m_col(e.m_col) + { } +#endif + + value_type operator()(std::size_t i) const { + TVMET_RT_CONDITION(i < Rows, "XprMatrixCol Bounce Violation") + return m_expr(i, m_col); + } + +public: // debugging Xpr parse tree + void print_xpr(std::ostream& os, std::size_t l=0) const { + os << IndentLevel(l++) + << "XprMatrixCol[O=" << ops << ", (O=" << ops_expr << ")]<" + << std::endl; + m_expr.print_xpr(os, l); + os << IndentLevel(l) + << "R=" << Rows << ", C=" << Cols << std::endl + << IndentLevel(--l) << ">" + << ((l != 0) ? "," : "") << std::endl; + } + +private: + const E m_expr; + const std::size_t m_col; +}; + + +} + +#endif // TVMET_XPR_MATRIX_COL_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/xpr/MatrixDiag.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,94 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * lesser General Public License for more details. + * + * You should have received a copy of the GNU lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: MatrixDiag.h,v 1.17 2007-06-23 15:59:00 opetzold Exp $ + */ + +#ifndef TVMET_XPR_MATRIX_DIAG_H +#define TVMET_XPR_MATRIX_DIAG_H + +namespace tvmet { + + +/** + * \class XprMatrixDiag MatrixDiag.h "tvmet/xpr/MatrixDiag.h" + * \brief Expression on matrix used for access on the diagonal vector. + */ +template<class E, std::size_t Sz> +class XprMatrixDiag + : public TvmetBase< XprMatrixDiag<E, Sz> > +{ + XprMatrixDiag(); + XprMatrixDiag& operator=(const XprMatrixDiag<E, Sz>&); + +public: + typedef typename E::value_type value_type; + +public: + /** Complexity counter. */ + enum { + ops_expr = E::ops, + ops = ops_expr/Sz + }; + +public: + /** Constructor. */ + explicit XprMatrixDiag(const E& e) + : m_expr(e) + { } + + /** Copy Constructor. Not explicit! */ +#if defined(TVMET_OPTIMIZE_XPR_MANUAL_CCTOR) + XprMatrixDiag(const XprMatrixDiag& e) + : m_expr(e.m_expr) + { } +#endif + + /** index operator for arrays/matrizes */ + value_type operator()(std::size_t i) const { + TVMET_RT_CONDITION(i < Sz, "XprMatrixDiag Bounce Violation") + return m_expr(i, i); + } + +public: // debugging Xpr parse tree + void print_xpr(std::ostream& os, std::size_t l=0) const { + os << IndentLevel(l++) + << "XprMatrixDiag[O=" << ops << ", (O=" << ops_expr << ")]<" + << std::endl; + m_expr.print_xpr(os, l); + os << IndentLevel(l) + << "Sz=" << Sz << std::endl + << IndentLevel(--l) << ">" + << ((l != 0) ? "," : "") << std::endl; + } + +private: + const E m_expr; +}; + + +} // namespace tvmet + +#endif // TVMET_XPR_MATRIX_DIAG_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/xpr/MatrixFunctions.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,761 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * lesser General Public License for more details. + * + * You should have received a copy of the GNU lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: MatrixFunctions.h,v 1.44 2007-06-23 15:59:00 opetzold Exp $ + */ + +#ifndef TVMET_XPR_MATRIX_FUNCTIONS_H +#define TVMET_XPR_MATRIX_FUNCTIONS_H + +namespace tvmet { + + +/* forwards */ +template<class T, std::size_t Rows, std::size_t Cols> class Matrix; +template<class T, std::size_t Sz> class Vector; +template<class E, std::size_t Sz> class XprVector; +template<class E> class XprMatrixTranspose; +template<class E, std::size_t Sz> class XprMatrixDiag; +template<class E, std::size_t Rows, std::size_t Cols> class XprMatrixRow; +template<class E, std::size_t Rows, std::size_t Cols> class XprMatrixCol; + + +/********************************************************* + * PART I: DECLARATION + *********************************************************/ + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Matrix arithmetic functions add, sub, mul and div + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * function(XprMatrix<E1, Rows, Cols>, XprMatrix<E2, Rows, Cols>) + */ +#define TVMET_DECLARE_MACRO(NAME) \ +template<class E1, class E2, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \ + XprMatrix<E1, Rows, Cols>, \ + XprMatrix<E2, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME (const XprMatrix<E1, Rows, Cols>& lhs, \ + const XprMatrix<E2, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(add) // per se element wise +TVMET_DECLARE_MACRO(sub) // per se element wise +namespace element_wise { + TVMET_DECLARE_MACRO(mul) // not defined for matrizes + TVMET_DECLARE_MACRO(div) // not defined for matrizes +} + +#undef TVMET_DECLARE_MACRO + + +/* + * function(XprMatrix<E, Rows, Cols>, POD) + * function(POD, XprMatrix<E, Rows, Cols>) + * Note: - operations +,-,*,/ are per se element wise + */ +#define TVMET_DECLARE_MACRO(NAME, POD) \ +template<class E, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, POD >, \ + XprMatrix<E, Rows, Cols>, \ + XprLiteral< POD > \ + >, \ + Rows, Cols \ +> \ +NAME (const XprMatrix<E, Rows, Cols>& lhs, \ + POD rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class E, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME< POD, typename E::value_type>, \ + XprLiteral< POD >, \ + XprMatrix<E, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME (POD lhs, \ + const XprMatrix<E, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(add, int) +TVMET_DECLARE_MACRO(sub, int) +TVMET_DECLARE_MACRO(mul, int) +TVMET_DECLARE_MACRO(div, int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_DECLARE_MACRO(add, long long int) +TVMET_DECLARE_MACRO(sub, long long int) +TVMET_DECLARE_MACRO(mul, long long int) +TVMET_DECLARE_MACRO(div, long long int) +#endif + +TVMET_DECLARE_MACRO(add, float) +TVMET_DECLARE_MACRO(sub, float) +TVMET_DECLARE_MACRO(mul, float) +TVMET_DECLARE_MACRO(div, float) + +TVMET_DECLARE_MACRO(add, double) +TVMET_DECLARE_MACRO(sub, double) +TVMET_DECLARE_MACRO(mul, double) +TVMET_DECLARE_MACRO(div, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_DECLARE_MACRO(add, long double) +TVMET_DECLARE_MACRO(sub, long double) +TVMET_DECLARE_MACRO(mul, long double) +TVMET_DECLARE_MACRO(div, long double) +#endif + +#undef TVMET_DECLARE_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * function(XprMatrix<E, Rows, Cols>, complex<T>) + * function(complex<T>, XprMatrix<E, Rows, Cols>) + * Note: - operations +,-,*,/ are per se element wise + * \todo type promotion + */ +#define TVMET_DECLARE_MACRO(NAME) \ +template<class E, class T, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, std::complex<T> >, \ + XprMatrix<E, Rows, Cols>, \ + XprLiteral< std::complex<T> > \ + >, \ + Rows, Cols \ +> \ +NAME (const XprMatrix<E, Rows, Cols>& lhs, \ + const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class T, class E, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, typename E::value_type>, \ + XprLiteral< std::complex<T> >, \ + XprMatrix<E, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME (const std::complex<T>& lhs, \ + const XprMatrix<E, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(add) +TVMET_DECLARE_MACRO(sub) +TVMET_DECLARE_MACRO(mul) +TVMET_DECLARE_MACRO(div) + +#undef TVMET_DECLARE_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * matrix prod( ... ) functions + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +template<class E1, std::size_t Rows1, std::size_t Cols1, + class E2, std::size_t Cols2> +XprMatrix< + XprMMProduct< + XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) + XprMatrix<E2, Cols1, Cols2>, Cols2 + >, + Rows1, Cols2 // return Dim +> +prod(const XprMatrix<E1, Rows1, Cols1>& lhs, + const XprMatrix<E2, Cols1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class E1, std::size_t Rows1, std::size_t Cols1, + class E2, std::size_t Cols2> +XprMatrix< + XprMMProductTransposed< + XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) + XprMatrix<E2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2) + >, + Cols2, Rows1 // return Dim +> +trans_prod(const XprMatrix<E1, Rows1, Cols1>& lhs, + const XprMatrix<E2, Cols1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class E1, std::size_t Rows1, std::size_t Cols1, + class E2, std::size_t Cols2> // Rows2 = Rows1 +XprMatrix< + XprMtMProduct< + XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) + XprMatrix<E2, Rows1, Cols2>, Cols2 // M2(Rows1, Cols2) + >, + Cols1, Cols2 // return Dim +> +MtM_prod(const XprMatrix<E1, Rows1, Cols1>& lhs, + const XprMatrix<E2, Rows1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class E1, std::size_t Rows1, std::size_t Cols1, + class E2, std::size_t Rows2> // Cols2 = Cols1 +XprMatrix< + XprMMtProduct< + XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) + XprMatrix<E2, Rows2, Cols1>, Cols1 // M2(Rows2, Cols1) + >, + Rows1, Rows2 // return Dim +> +MMt_prod(const XprMatrix<E1, Rows1, Cols1>& lhs, + const XprMatrix<E2, Rows2, Cols1>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * matrix-vector specific prod( ... ) functions + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +template<class E1, std::size_t Rows, std::size_t Cols, + class E2> +XprVector< + XprMVProduct< + XprMatrix<E1, Rows, Cols>, Rows, Cols, + XprVector<E2, Cols> + >, + Rows +> +prod(const XprMatrix<E1, Rows, Cols>& lhs, + const XprVector<E2, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * matrix specific functions + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +template<class E, std::size_t Rows, std::size_t Cols> +XprMatrix< + XprMatrixTranspose< + XprMatrix<E, Rows, Cols> + >, + Cols, Rows +> +trans(const XprMatrix<E, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class E, std::size_t Sz> +typename NumericTraits<typename E::value_type>::sum_type +trace(const XprMatrix<E, Sz, Sz>& m) TVMET_CXX_ALWAYS_INLINE; + + +template<class E, std::size_t Rows, std::size_t Cols> +XprVector< + XprMatrixRow< + XprMatrix<E, Rows, Cols>, + Rows, Cols + >, + Cols +> +row(const XprMatrix<E, Rows, Cols>& m, + std::size_t no) TVMET_CXX_ALWAYS_INLINE; + + +template<class E, std::size_t Rows, std::size_t Cols> +XprVector< + XprMatrixCol< + XprMatrix<E, Rows, Cols>, + Rows, Cols + >, + Rows +> +col(const XprMatrix<E, Rows, Cols>& m, std::size_t no) TVMET_CXX_ALWAYS_INLINE; + + +template<class E, std::size_t Sz> +XprVector< + XprMatrixDiag< + XprMatrix<E, Sz, Sz>, + Sz + >, + Sz +> +diag(const XprMatrix<E, Sz, Sz>& m) TVMET_CXX_ALWAYS_INLINE; + + +/********************************************************* + * PART II: IMPLEMENTATION + *********************************************************/ + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Matrix arithmetic functions add, sub, mul and div + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * function(XprMatrix<E1, Rows, Cols>, XprMatrix<E2, Rows, Cols>) + */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class E1, class E2, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \ + XprMatrix<E1, Rows, Cols>, \ + XprMatrix<E2, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME (const XprMatrix<E1, Rows, Cols>& lhs, \ + const XprMatrix<E2, Rows, Cols>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \ + XprMatrix<E1, Rows, Cols>, \ + XprMatrix<E2, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>(expr_type(lhs, rhs)); \ +} + +TVMET_IMPLEMENT_MACRO(add) // per se element wise +TVMET_IMPLEMENT_MACRO(sub) // per se element wise +namespace element_wise { + TVMET_IMPLEMENT_MACRO(mul) // not defined for matrizes + TVMET_IMPLEMENT_MACRO(div) // not defined for matrizes +} + +#undef TVMET_IMPLEMENT_MACRO + + +/* + * function(XprMatrix<E, Rows, Cols>, POD) + * function(POD, XprMatrix<E, Rows, Cols>) + * Note: - operations +,-,*,/ are per se element wise + */ +#define TVMET_IMPLEMENT_MACRO(NAME, POD) \ +template<class E, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, POD >, \ + XprMatrix<E, Rows, Cols>, \ + XprLiteral< POD > \ + >, \ + Rows, Cols \ +> \ +NAME (const XprMatrix<E, Rows, Cols>& lhs, POD rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<typename E::value_type, POD >, \ + XprMatrix<E, Rows, Cols>, \ + XprLiteral< POD > \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(lhs, XprLiteral< POD >(rhs))); \ +} \ + \ +template<class E, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME< POD, typename E::value_type>, \ + XprLiteral< POD >, \ + XprMatrix<E, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME (POD lhs, const XprMatrix<E, Rows, Cols>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME< POD, typename E::value_type>, \ + XprLiteral< POD >, \ + XprMatrix<E, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(XprLiteral< POD >(lhs), rhs)); \ +} + +TVMET_IMPLEMENT_MACRO(add, int) +TVMET_IMPLEMENT_MACRO(sub, int) +TVMET_IMPLEMENT_MACRO(mul, int) +TVMET_IMPLEMENT_MACRO(div, int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_IMPLEMENT_MACRO(add, long long int) +TVMET_IMPLEMENT_MACRO(sub, long long int) +TVMET_IMPLEMENT_MACRO(mul, long long int) +TVMET_IMPLEMENT_MACRO(div, long long int) +#endif + +TVMET_IMPLEMENT_MACRO(add, float) +TVMET_IMPLEMENT_MACRO(sub, float) +TVMET_IMPLEMENT_MACRO(mul, float) +TVMET_IMPLEMENT_MACRO(div, float) + +TVMET_IMPLEMENT_MACRO(add, double) +TVMET_IMPLEMENT_MACRO(sub, double) +TVMET_IMPLEMENT_MACRO(mul, double) +TVMET_IMPLEMENT_MACRO(div, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_IMPLEMENT_MACRO(add, long double) +TVMET_IMPLEMENT_MACRO(sub, long double) +TVMET_IMPLEMENT_MACRO(mul, long double) +TVMET_IMPLEMENT_MACRO(div, long double) +#endif + +#undef TVMET_IMPLEMENT_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * function(XprMatrix<E, Rows, Cols>, complex<T>) + * function(complex<T>, XprMatrix<E, Rows, Cols>) + * Note: - operations +,-,*,/ are per se element wise + * \todo type promotion + */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class E, class T, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, std::complex<T> >, \ + XprMatrix<E, Rows, Cols>, \ + XprLiteral< std::complex<T> > \ + >, \ + Rows, Cols \ +> \ +NAME (const XprMatrix<E, Rows, Cols>& lhs, \ + const std::complex<T>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<typename E::value_type, std::complex<T> >, \ + XprMatrix<E, Rows, Cols>, \ + XprLiteral< std::complex<T> > \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(lhs, XprLiteral< std::complex<T> >(rhs))); \ +} \ + \ +template<class T, class E, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, typename E::value_type>, \ + XprLiteral< std::complex<T> >, \ + XprMatrix<E, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME (const std::complex<T>& lhs, \ + const XprMatrix<E, Rows, Cols>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME< std::complex<T>, typename E::value_type>, \ + XprLiteral< std::complex<T> >, \ + XprMatrix<E, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(XprLiteral< std::complex<T> >(lhs), rhs)); \ +} + +TVMET_IMPLEMENT_MACRO(add) +TVMET_IMPLEMENT_MACRO(sub) +TVMET_IMPLEMENT_MACRO(mul) +TVMET_IMPLEMENT_MACRO(div) + +#undef TVMET_IMPLEMENT_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * matrix prod( ... ) functions + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/** + * \fn prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1, Cols2>& rhs) + * \brief Evaluate the product of two XprMatrix. + * Perform on given Matrix M1 and M2: + * \f[ + * M_1\,M_2 + * \f] + * \note The numer of Rows2 has to be equal to Cols1. + * \ingroup _binary_function + */ +template<class E1, std::size_t Rows1, std::size_t Cols1, + class E2, std::size_t Cols2> +inline +XprMatrix< + XprMMProduct< + XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) + XprMatrix<E2, Cols1, Cols2>, Cols2 + >, + Rows1, Cols2 // return Dim +> +prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1, Cols2>& rhs) { + typedef XprMMProduct< + XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, + XprMatrix<E2, Cols1, Cols2>, Cols2 + > expr_type; + return XprMatrix<expr_type, Rows1, Cols2>(expr_type(lhs, rhs)); +} + + +/** + * \fn trans_prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1, Cols2>& rhs) + * \brief Function for the trans(matrix-matrix-product) + * Perform on given Matrix M1 and M2: + * \f[ + * (M_1\,M_2)^T + * \f] + * \note The numer of Rows2 has to be equal to Cols1. + * \ingroup _binary_function + */ +template<class E1, std::size_t Rows1, std::size_t Cols1, + class E2, std::size_t Cols2> +inline +XprMatrix< + XprMMProductTransposed< + XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) + XprMatrix<E2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2) + >, + Cols2, Rows1 // return Dim +> +trans_prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1, Cols2>& rhs) { + typedef XprMMProductTransposed< + XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, + XprMatrix<E2, Cols1, Cols2>, Cols2 + > expr_type; + return XprMatrix<expr_type, Cols2, Rows1>(expr_type(lhs, rhs)); +} + + +/** + * \fn MtM_prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Rows1, Cols2>& rhs) + * \brief Function for the trans(matrix)-matrix-product. + * using formula + * \f[ + * M_1^{T}\,M_2 + * \f] + * \note The number of cols of matrix 2 have to be equal to number of rows of + * matrix 1, since matrix 1 is trans - the result is a (Cols1 x Cols2) + * matrix. + * \ingroup _binary_function + */ +template<class E1, std::size_t Rows1, std::size_t Cols1, + class E2, std::size_t Cols2> // Rows2 = Rows1 +inline +XprMatrix< + XprMtMProduct< + XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) + XprMatrix<E2, Rows1, Cols2>, Cols2 // M2(Rows1, Cols2) + >, + Cols1, Cols2 // return Dim +> +MtM_prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Rows1, Cols2>& rhs) { + typedef XprMtMProduct< + XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, + XprMatrix<E2, Rows1, Cols2>, Cols2 + > expr_type; + return XprMatrix<expr_type, Cols1, Cols2>(expr_type(lhs, rhs)); +} + + +/** + * \fn MMt_prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Rows2, Cols1>& rhs) + * \brief Function for the matrix-trans(matrix)-product. + * \ingroup _binary_function + * \note The cols2 has to be equal to cols1. + */ +template<class E1, std::size_t Rows1, std::size_t Cols1, + class E2, std::size_t Rows2> // Cols2 = Cols1 +inline +XprMatrix< + XprMMtProduct< + XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) + XprMatrix<E2, Rows2, Cols1>, Cols1 // M2(Rows2, Cols1) + >, + Rows1, Rows2 // return Dim +> +MMt_prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Rows2, Cols1>& rhs) { + typedef XprMMtProduct< + XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, + XprMatrix<E2, Rows2, Cols1>, Cols1 + > expr_type; + return XprMatrix<expr_type, Rows1, Rows2>(expr_type(lhs, rhs)); +} + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * matrix-vector specific prod( ... ) functions + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/** + * \fn prod(const XprMatrix<E1, Rows, Cols>& lhs, const XprVector<E2, Cols>& rhs) + * \brief Evaluate the product of XprMatrix and XprVector. + * \ingroup _binary_function + */ +template<class E1, std::size_t Rows, std::size_t Cols, + class E2> +inline +XprVector< + XprMVProduct< + XprMatrix<E1, Rows, Cols>, Rows, Cols, + XprVector<E2, Cols> + >, + Rows +> +prod(const XprMatrix<E1, Rows, Cols>& lhs, const XprVector<E2, Cols>& rhs) { + typedef XprMVProduct< + XprMatrix<E1, Rows, Cols>, Rows, Cols, + XprVector<E2, Cols> + > expr_type; + return XprVector<expr_type, Rows>(expr_type(lhs, rhs)); +} + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * matrix specific functions + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/** + * \fn trans(const XprMatrix<E, Rows, Cols>& rhs) + * \brief Transpose an expression matrix. + * \ingroup _unary_function + */ +template<class E, std::size_t Rows, std::size_t Cols> +inline +XprMatrix< + XprMatrixTranspose< + XprMatrix<E, Rows, Cols> + >, + Cols, Rows +> +trans(const XprMatrix<E, Rows, Cols>& rhs) { + typedef XprMatrixTranspose< + XprMatrix<E, Rows, Cols> + > expr_type; + return XprMatrix<expr_type, Cols, Rows>(expr_type(rhs)); +} + + +/* + * \fn trace(const XprMatrix<E, Sz, Sz>& m) + * \brief Compute the trace of a square matrix. + * \ingroup _unary_function + * + * Simply compute the trace of the given matrix expression as: + * \f[ + * \sum_{k = 0}^{Sz-1} m(k, k) + * \f] + */ +template<class E, std::size_t Sz> +inline +typename NumericTraits<typename E::value_type>::sum_type +trace(const XprMatrix<E, Sz, Sz>& m) { + return meta::Matrix<Sz, Sz, 0, 0>::trace(m); +} + + +/** + * \fn row(const XprMatrix<E, Rows, Cols>& m, std::size_t no) + * \brief Returns a row vector of the given matrix. + * \ingroup _binary_function + */ +template<class E, std::size_t Rows, std::size_t Cols> +inline +XprVector< + XprMatrixRow< + XprMatrix<E, Rows, Cols>, + Rows, Cols + >, + Cols +> +row(const XprMatrix<E, Rows, Cols>& m, std::size_t no) { + typedef XprMatrixRow< + XprMatrix<E, Rows, Cols>, + Rows, Cols + > expr_type; + + return XprVector<expr_type, Cols>(expr_type(m, no)); +} + + +/** + * \fn col(const XprMatrix<E, Rows, Cols>& m, std::size_t no) + * \brief Returns a column vector of the given matrix. + * \ingroup _binary_function + */ +template<class E, std::size_t Rows, std::size_t Cols> +inline +XprVector< + XprMatrixCol< + XprMatrix<E, Rows, Cols>, + Rows, Cols + >, + Rows +> +col(const XprMatrix<E, Rows, Cols>& m, std::size_t no) { + typedef XprMatrixCol< + XprMatrix<E, Rows, Cols>, + Rows, Cols + > expr_type; + + return XprVector<expr_type, Cols>(expr_type(m, no)); +} + + +/** + * \fn diag(const XprMatrix<E, Sz, Sz>& m) + * \brief Returns the diagonal vector of the given square matrix. + * \ingroup _unary_function + */ +template<class E, std::size_t Sz> +inline +XprVector< + XprMatrixDiag< + XprMatrix<E, Sz, Sz>, + Sz + >, + Sz +> +diag(const XprMatrix<E, Sz, Sz>& m) { + typedef XprMatrixDiag< + XprMatrix<E, Sz, Sz>, + Sz> expr_type; + + return XprVector<expr_type, Sz>(expr_type(m)); +} + + +} // namespace tvmet + +#endif // TVMET_XPR_MATRIX_FUNCTIONS_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/xpr/MatrixOperators.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,947 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * lesser General Public License for more details. + * + * You should have received a copy of the GNU lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: MatrixOperators.h,v 1.23 2007-06-23 15:59:00 opetzold Exp $ + */ + +#ifndef TVMET_XPR_MATRIX_OPERATORS_H +#define TVMET_XPR_MATRIX_OPERATORS_H + +namespace tvmet { + + +/********************************************************* + * PART I: DECLARATION + *********************************************************/ + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Matrix arithmetic operators implemented by functions + * add, sub, mul and div + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * operator(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1,Cols2>& rhs) + * + * Note: operations +,-,*,/ are per se element wise. Further more, + * element wise operations make sense only for matrices of the same + * size [varg]. + */ +#define TVMET_DECLARE_MACRO(NAME, OP) \ +template<class E1, std::size_t Rows1, std::size_t Cols1, \ + class E2> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \ + XprMatrix<E1, Rows1, Cols1>, \ + XprMatrix<E2, Rows1, Cols1> \ + >, \ + Rows1, Cols1 \ +> \ +operator OP (const XprMatrix<E1, Rows1, Cols1>& lhs, \ + const XprMatrix<E2, Rows1, Cols1>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(add, +) // per se element wise +TVMET_DECLARE_MACRO(sub, -) // per se element wise +namespace element_wise { + TVMET_DECLARE_MACRO(mul, *) // see as prod() + TVMET_DECLARE_MACRO(div, /) // not defined for matrizes, must be element_wise +} +#undef TVMET_DECLARE_MACRO + + +/* + * operator(XprMatrix<E, Rows, Cols>, POD) + * operator(POD, XprMatrix<E, Rows, Cols>) + * Note: operations +,-,*,/ are per se element wise + */ +#define TVMET_DECLARE_MACRO(NAME, OP, POD) \ +template<class E, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, POD >, \ + XprMatrix<E, Rows, Cols>, \ + XprLiteral< POD > \ + >, \ + Rows, Cols \ +> \ +operator OP (const XprMatrix<E, Rows, Cols>& lhs, \ + POD rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class E,std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<POD, typename E::value_type>, \ + XprLiteral< POD >, \ + XprMatrix<E, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (POD lhs, \ + const XprMatrix<E, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(add, +, int) +TVMET_DECLARE_MACRO(sub, -, int) +TVMET_DECLARE_MACRO(mul, *, int) +TVMET_DECLARE_MACRO(div, /, int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_DECLARE_MACRO(add, +, long long int) +TVMET_DECLARE_MACRO(sub, -, long long int) +TVMET_DECLARE_MACRO(mul, *, long long int) +TVMET_DECLARE_MACRO(div, /, long long int) +#endif // defined(TVMET_HAVE_LONG_LONG) + +TVMET_DECLARE_MACRO(add, +, float) +TVMET_DECLARE_MACRO(sub, -, float) +TVMET_DECLARE_MACRO(mul, *, float) +TVMET_DECLARE_MACRO(div, /, float) + +TVMET_DECLARE_MACRO(add, +, double) +TVMET_DECLARE_MACRO(sub, -, double) +TVMET_DECLARE_MACRO(mul, *, double) +TVMET_DECLARE_MACRO(div, /, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_DECLARE_MACRO(add, +, long double) +TVMET_DECLARE_MACRO(sub, -, long double) +TVMET_DECLARE_MACRO(mul, *, long double) +TVMET_DECLARE_MACRO(div, /, long double) +#endif // defined(TVMET_HAVE_LONG_DOUBLE) + +#undef TVMET_DECLARE_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * operator(XprMatrix<E, Rows, Cols>, complex<>) + * operator(complex<>, XprMatrix<E, Rows, Cols>) + * Note: operations +,-,*,/ are per se element wise + * \todo type promotion + */ +#define TVMET_DECLARE_MACRO(NAME, OP) \ +template<class E, std::size_t Rows, std::size_t Cols, class T> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, std::complex<T> >, \ + XprMatrix<E, Rows, Cols>, \ + XprLiteral< std::complex<T> > \ + >, \ + Rows, Cols \ +> \ +operator OP (const XprMatrix<E, Rows, Cols>& lhs, \ + const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class E, std::size_t Rows, std::size_t Cols, class T> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<std::complex<T>, typename E::value_type>, \ + XprLiteral< std::complex<T> >, \ + XprMatrix<E, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (const std::complex<T>& lhs, \ + const XprMatrix<E, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(add, +) +TVMET_DECLARE_MACRO(sub, -) +TVMET_DECLARE_MACRO(mul, *) +TVMET_DECLARE_MACRO(div, /) + +#undef TVMET_DECLARE_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * matrix specific operator*() = prod() operations + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/** + * \fn operator*(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1, Cols2>& rhs) + * \brief Evaluate the product of two XprMatrix. + * \ingroup _binary_operator + * \sa prod(XprMatrix<E1, Rows1, Cols1> lhs, XprMatrix<E2, Cols1, Cols2> rhs) + */ +template<class E1, std::size_t Rows1, std::size_t Cols1, + class E2, std::size_t Cols2> +XprMatrix< + XprMMProduct< + XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) + XprMatrix<E2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2) + >, + Rows1, Cols2 +> +operator*(const XprMatrix<E1, Rows1, Cols1>& lhs, + const XprMatrix<E2, Cols1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * matrix-vector specific prod( ... ) operators + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/** + * \fn operator*(const XprMatrix<E1, Rows, Cols>& lhs, const XprVector<E2, Cols>& rhs) + * \brief Evaluate the product of XprMatrix and XprVector. + * \ingroup _binary_operator + * \sa prod(XprMatrix<E1, Rows, Cols> lhs, XprVector<E2, Cols> rhs) + */ +template<class E1, std::size_t Rows, std::size_t Cols, + class E2> +XprVector< + XprMVProduct< + XprMatrix<E1, Rows, Cols>, Rows, Cols, + XprVector<E2, Cols> + >, + Rows +> +operator*(const XprMatrix<E1, Rows, Cols>& lhs, + const XprVector<E2, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Matrix integer and compare operators + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * operator(XprMatrix<>, XprMatrix<>) + * Note: operations are per se element wise + */ +#define TVMET_DECLARE_MACRO(NAME, OP) \ +template<class E1, std::size_t Rows, std::size_t Cols, \ + class E2> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \ + XprMatrix<E1, Rows, Cols>, \ + XprMatrix<E2, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (const XprMatrix<E1, Rows, Cols>& lhs, \ + const XprMatrix<E2, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + +// integer operators only, e.g used on double you will get an error +namespace element_wise { + TVMET_DECLARE_MACRO(mod, %) + TVMET_DECLARE_MACRO(bitxor, ^) + TVMET_DECLARE_MACRO(bitand, &) + TVMET_DECLARE_MACRO(bitor, |) + TVMET_DECLARE_MACRO(shl, <<) + TVMET_DECLARE_MACRO(shr, >>) +} + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >) +TVMET_DECLARE_MACRO(less, <) +TVMET_DECLARE_MACRO(greater_eq, >=) +TVMET_DECLARE_MACRO(less_eq, <=) +TVMET_DECLARE_MACRO(eq, ==) +TVMET_DECLARE_MACRO(not_eq, !=) +TVMET_DECLARE_MACRO(and, &&) +TVMET_DECLARE_MACRO(or, ||) + +#undef TVMET_DECLARE_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * operator(XprMatrix<E, Rows, Cols>, std::complex<>) + * operator(std::complex<>, XprMatrix<E, Rows, Cols>) + * Note: - per se element wise + * - bit ops on complex<int> doesn't make sense, stay away + * \todo type promotion + */ +#define TVMET_DECLARE_MACRO(NAME, OP) \ +template<class E, std::size_t Rows, std::size_t Cols, class T> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, std::complex<T> >, \ + XprMatrix<E, Rows, Cols>, \ + XprLiteral< std::complex<T> > \ + >, \ + Rows, Cols \ +> \ +operator OP (const XprMatrix<E, Rows, Cols>& lhs, \ + const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class E, std::size_t Rows, std::size_t Cols, class T> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<std::complex<T>, typename E::value_type>, \ + XprLiteral< std::complex<T> >, \ + XprMatrix<E, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (const std::complex<T>& lhs, \ + const XprMatrix<E, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >) +TVMET_DECLARE_MACRO(less, <) +TVMET_DECLARE_MACRO(greater_eq, >=) +TVMET_DECLARE_MACRO(less_eq, <=) +TVMET_DECLARE_MACRO(eq, ==) +TVMET_DECLARE_MACRO(not_eq, !=) +TVMET_DECLARE_MACRO(and, &&) +TVMET_DECLARE_MACRO(or, ||) + +#undef TVMET_DECLARE_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/* + * operator(XprMatrix<E, Rows, Cols>, POD) + * operator(POD, XprMatrix<E, Rows, Cols>) + * Note: operations are per se element wise + */ +#define TVMET_DECLARE_MACRO(NAME, OP, TP) \ +template<class E, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, TP >, \ + XprMatrix<E, Rows, Cols>, \ + XprLiteral< TP > \ + >, \ + Rows, Cols \ +> \ +operator OP (const XprMatrix<E, Rows, Cols>& lhs, \ + TP rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class E, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<TP, typename E::value_type>, \ + XprLiteral< TP >, \ + XprMatrix<E, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (TP lhs, \ + const XprMatrix<E, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + +// integer operators only, e.g used on double you will get an error +namespace element_wise { + TVMET_DECLARE_MACRO(mod, %, int) + TVMET_DECLARE_MACRO(bitxor, ^, int) + TVMET_DECLARE_MACRO(bitand, &, int) + TVMET_DECLARE_MACRO(bitor, |, int) + TVMET_DECLARE_MACRO(shl, <<, int) + TVMET_DECLARE_MACRO(shr, >>, int) +} + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >, int) +TVMET_DECLARE_MACRO(less, <, int) +TVMET_DECLARE_MACRO(greater_eq, >=, int) +TVMET_DECLARE_MACRO(less_eq, <=, int) +TVMET_DECLARE_MACRO(eq, ==, int) +TVMET_DECLARE_MACRO(not_eq, !=, int) +TVMET_DECLARE_MACRO(and, &&, int) +TVMET_DECLARE_MACRO(or, ||, int) + +#if defined(TVMET_HAVE_LONG_LONG) +// integer operators only +namespace element_wise { + TVMET_DECLARE_MACRO(mod, %, long long int) + TVMET_DECLARE_MACRO(bitxor, ^, long long int) + TVMET_DECLARE_MACRO(bitand, &, long long int) + TVMET_DECLARE_MACRO(bitor, |, long long int) + TVMET_DECLARE_MACRO(shl, <<, long long int) + TVMET_DECLARE_MACRO(shr, >>, long long int) +} + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >, long long int) +TVMET_DECLARE_MACRO(less, <, long long int) +TVMET_DECLARE_MACRO(greater_eq, >=, long long int) +TVMET_DECLARE_MACRO(less_eq, <=, long long int) +TVMET_DECLARE_MACRO(eq, ==, long long int) +TVMET_DECLARE_MACRO(not_eq, !=, long long int) +TVMET_DECLARE_MACRO(and, &&, long long int) +TVMET_DECLARE_MACRO(or, ||, long long int) +#endif // defined(TVMET_HAVE_LONG_LONG) + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >, float) +TVMET_DECLARE_MACRO(less, <, float) +TVMET_DECLARE_MACRO(greater_eq, >=, float) +TVMET_DECLARE_MACRO(less_eq, <=, float) +TVMET_DECLARE_MACRO(eq, ==, float) +TVMET_DECLARE_MACRO(not_eq, !=, float) +TVMET_DECLARE_MACRO(and, &&, float) +TVMET_DECLARE_MACRO(or, ||, float) + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >, double) +TVMET_DECLARE_MACRO(less, <, double) +TVMET_DECLARE_MACRO(greater_eq, >=, double) +TVMET_DECLARE_MACRO(less_eq, <=, double) +TVMET_DECLARE_MACRO(eq, ==, double) +TVMET_DECLARE_MACRO(not_eq, !=, double) +TVMET_DECLARE_MACRO(and, &&, double) +TVMET_DECLARE_MACRO(or, ||, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >, long double) +TVMET_DECLARE_MACRO(less, <, long double) +TVMET_DECLARE_MACRO(greater_eq, >=, long double) +TVMET_DECLARE_MACRO(less_eq, <=, long double) +TVMET_DECLARE_MACRO(eq, ==, long double) +TVMET_DECLARE_MACRO(not_eq, !=, long double) +TVMET_DECLARE_MACRO(and, &&, long double) +TVMET_DECLARE_MACRO(or, ||, long double) +#endif // defined(TVMET_HAVE_LONG_DOUBLE) + +#undef TVMET_DECLARE_MACRO + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * global unary operators + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * unary_operator(const XprMatrix<E, Rows, Cols>& m) + * Note: per se element wise + */ +#define TVMET_DECLARE_MACRO(NAME, OP) \ +template <class E, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprUnOp< \ + Fcnl_##NAME<typename E::value_type>, \ + XprMatrix<E, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (const XprMatrix<E, Rows, Cols>& m) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(not, !) +TVMET_DECLARE_MACRO(compl, ~) +TVMET_DECLARE_MACRO(neg, -) + +#undef TVMET_DECLARE_MACRO + + +/********************************************************* + * PART II: IMPLEMENTATION + *********************************************************/ + + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Matrix arithmetic operators implemented by functions + * add, sub, mul and div + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * operator(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1,Cols2>& rhs) + * + * Note: operations +,-,*,/ are per se element wise. Further more, + * element wise operations make sense only for matrices of the same + * size [varg]. + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template<class E1, std::size_t Rows1, std::size_t Cols1, \ + class E2> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \ + XprMatrix<E1, Rows1, Cols1>, \ + XprMatrix<E2, Rows1, Cols1> \ + >, \ + Rows1, Cols1 \ +> \ +operator OP (const XprMatrix<E1, Rows1, Cols1>& lhs, \ + const XprMatrix<E2, Rows1, Cols1>& rhs) { \ + return NAME (lhs, rhs); \ +} + +TVMET_IMPLEMENT_MACRO(add, +) // per se element wise +TVMET_IMPLEMENT_MACRO(sub, -) // per se element wise +namespace element_wise { + TVMET_IMPLEMENT_MACRO(mul, *) // see as prod() + TVMET_IMPLEMENT_MACRO(div, /) // not defined for matrizes, must be element_wise +} +#undef TVMET_IMPLEMENT_MACRO + + +/* + * operator(XprMatrix<E, Rows, Cols>, POD) + * operator(POD, XprMatrix<E, Rows, Cols>) + * Note: operations +,-,*,/ are per se element wise + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP, POD) \ +template<class E, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, POD >, \ + XprMatrix<E, Rows, Cols>, \ + XprLiteral< POD > \ + >, \ + Rows, Cols \ +> \ +operator OP (const XprMatrix<E, Rows, Cols>& lhs, POD rhs) { \ + return NAME (lhs, rhs); \ +} \ + \ +template<class E,std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<POD, typename E::value_type>, \ + XprLiteral< POD >, \ + XprMatrix<E, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (POD lhs, const XprMatrix<E, Rows, Cols>& rhs) { \ + return NAME (lhs, rhs); \ +} + +TVMET_IMPLEMENT_MACRO(add, +, int) +TVMET_IMPLEMENT_MACRO(sub, -, int) +TVMET_IMPLEMENT_MACRO(mul, *, int) +TVMET_IMPLEMENT_MACRO(div, /, int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_IMPLEMENT_MACRO(add, +, long long int) +TVMET_IMPLEMENT_MACRO(sub, -, long long int) +TVMET_IMPLEMENT_MACRO(mul, *, long long int) +TVMET_IMPLEMENT_MACRO(div, /, long long int) +#endif // defined(TVMET_HAVE_LONG_LONG) + +TVMET_IMPLEMENT_MACRO(add, +, float) +TVMET_IMPLEMENT_MACRO(sub, -, float) +TVMET_IMPLEMENT_MACRO(mul, *, float) +TVMET_IMPLEMENT_MACRO(div, /, float) + +TVMET_IMPLEMENT_MACRO(add, +, double) +TVMET_IMPLEMENT_MACRO(sub, -, double) +TVMET_IMPLEMENT_MACRO(mul, *, double) +TVMET_IMPLEMENT_MACRO(div, /, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_IMPLEMENT_MACRO(add, +, long double) +TVMET_IMPLEMENT_MACRO(sub, -, long double) +TVMET_IMPLEMENT_MACRO(mul, *, long double) +TVMET_IMPLEMENT_MACRO(div, /, long double) +#endif // defined(TVMET_HAVE_LONG_DOUBLE) + +#undef TVMET_IMPLEMENT_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * operator(XprMatrix<E, Rows, Cols>, complex<>) + * operator(complex<>, XprMatrix<E, Rows, Cols>) + * Note: operations +,-,*,/ are per se element wise + * \todo type promotion + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template<class E, std::size_t Rows, std::size_t Cols, class T> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, std::complex<T> >, \ + XprMatrix<E, Rows, Cols>, \ + XprLiteral< std::complex<T> > \ + >, \ + Rows, Cols \ +> \ +operator OP (const XprMatrix<E, Rows, Cols>& lhs, \ + const std::complex<T>& rhs) { \ + return NAME (lhs, rhs); \ +} \ + \ +template<class E, std::size_t Rows, std::size_t Cols, class T> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<std::complex<T>, typename E::value_type>, \ + XprLiteral< std::complex<T> >, \ + XprMatrix<E, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (const std::complex<T>& lhs, \ + const XprMatrix<E, Rows, Cols>& rhs) { \ + return NAME (lhs, rhs); \ +} + +TVMET_IMPLEMENT_MACRO(add, +) +TVMET_IMPLEMENT_MACRO(sub, -) +TVMET_IMPLEMENT_MACRO(mul, *) +TVMET_IMPLEMENT_MACRO(div, /) + +#undef TVMET_IMPLEMENT_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * matrix specific operator*() = prod() operations + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/** + * \fn operator*(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1, Cols2>& rhs) + * \brief Evaluate the product of two XprMatrix. + * \ingroup _binary_operator + * \sa prod(XprMatrix<E1, Rows1, Cols1> lhs, XprMatrix<E2, Cols1, Cols2> rhs) + */ +template<class E1, std::size_t Rows1, std::size_t Cols1, + class E2, std::size_t Cols2> +inline +XprMatrix< + XprMMProduct< + XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) + XprMatrix<E2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2) + >, + Rows1, Cols2 +> +operator*(const XprMatrix<E1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1, Cols2>& rhs) { + return prod(lhs, rhs); +} + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * matrix-vector specific prod( ... ) operators + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/** + * \fn operator*(const XprMatrix<E1, Rows, Cols>& lhs, const XprVector<E2, Cols>& rhs) + * \brief Evaluate the product of XprMatrix and XprVector. + * \ingroup _binary_operator + * \sa prod(XprMatrix<E1, Rows, Cols> lhs, XprVector<E2, Cols> rhs) + */ +template<class E1, std::size_t Rows, std::size_t Cols, + class E2> +inline +XprVector< + XprMVProduct< + XprMatrix<E1, Rows, Cols>, Rows, Cols, + XprVector<E2, Cols> + >, + Rows +> +operator*(const XprMatrix<E1, Rows, Cols>& lhs, const XprVector<E2, Cols>& rhs) { + return prod(lhs, rhs); +} + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Matrix integer and compare operators + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * operator(XprMatrix<>, XprMatrix<>) + * Note: operations are per se element wise + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template<class E1, std::size_t Rows, std::size_t Cols, \ + class E2> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \ + XprMatrix<E1, Rows, Cols>, \ + XprMatrix<E2, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (const XprMatrix<E1, Rows, Cols>& lhs, \ + const XprMatrix<E2, Rows, Cols>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \ + XprMatrix<E1, Rows, Cols>, \ + XprMatrix<E2, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>(expr_type(lhs, rhs)); \ +} + +// integer operators only, e.g used on double you will get an error +namespace element_wise { + TVMET_IMPLEMENT_MACRO(mod, %) + TVMET_IMPLEMENT_MACRO(bitxor, ^) + TVMET_IMPLEMENT_MACRO(bitand, &) + TVMET_IMPLEMENT_MACRO(bitor, |) + TVMET_IMPLEMENT_MACRO(shl, <<) + TVMET_IMPLEMENT_MACRO(shr, >>) +} + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >) +TVMET_IMPLEMENT_MACRO(less, <) +TVMET_IMPLEMENT_MACRO(greater_eq, >=) +TVMET_IMPLEMENT_MACRO(less_eq, <=) +TVMET_IMPLEMENT_MACRO(eq, ==) +TVMET_IMPLEMENT_MACRO(not_eq, !=) +TVMET_IMPLEMENT_MACRO(and, &&) +TVMET_IMPLEMENT_MACRO(or, ||) + +#undef TVMET_IMPLEMENT_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * operator(XprMatrix<E, Rows, Cols>, std::complex<>) + * operator(std::complex<>, XprMatrix<E, Rows, Cols>) + * Note: - per se element wise + * - bit ops on complex<int> doesn't make sense, stay away + * \todo type promotion + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template<class E, std::size_t Rows, std::size_t Cols, class T> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, std::complex<T> >, \ + XprMatrix<E, Rows, Cols>, \ + XprLiteral< std::complex<T> > \ + >, \ + Rows, Cols \ +> \ +operator OP (const XprMatrix<E, Rows, Cols>& lhs, \ + const std::complex<T>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<typename E::value_type, std::complex<T> >, \ + XprMatrix<E, Rows, Cols>, \ + XprLiteral< std::complex<T> > \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(lhs, XprLiteral< std::complex<T> >(rhs))); \ +} \ + \ +template<class E, std::size_t Rows, std::size_t Cols, class T> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<std::complex<T>, typename E::value_type>, \ + XprLiteral< std::complex<T> >, \ + XprMatrix<E, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (const std::complex<T>& lhs, \ + const XprMatrix<E, Rows, Cols>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME< std::complex<T>, typename E::value_type>, \ + XprLiteral< std::complex<T> >, \ + XprMatrix<E, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(XprLiteral< std::complex<T> >(lhs), rhs)); \ +} + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >) +TVMET_IMPLEMENT_MACRO(less, <) +TVMET_IMPLEMENT_MACRO(greater_eq, >=) +TVMET_IMPLEMENT_MACRO(less_eq, <=) +TVMET_IMPLEMENT_MACRO(eq, ==) +TVMET_IMPLEMENT_MACRO(not_eq, !=) +TVMET_IMPLEMENT_MACRO(and, &&) +TVMET_IMPLEMENT_MACRO(or, ||) + +#undef TVMET_IMPLEMENT_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/* + * operator(XprMatrix<E, Rows, Cols>, POD) + * operator(POD, XprMatrix<E, Rows, Cols>) + * Note: operations are per se element wise + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP, TP) \ +template<class E, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, TP >, \ + XprMatrix<E, Rows, Cols>, \ + XprLiteral< TP > \ + >, \ + Rows, Cols \ +> \ +operator OP (const XprMatrix<E, Rows, Cols>& lhs, TP rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<typename E::value_type, TP >, \ + XprMatrix<E, Rows, Cols>, \ + XprLiteral< TP > \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(lhs, XprLiteral< TP >(rhs))); \ +} \ + \ +template<class E, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<TP, typename E::value_type>, \ + XprLiteral< TP >, \ + XprMatrix<E, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (TP lhs, const XprMatrix<E, Rows, Cols>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME< TP, typename E::value_type>, \ + XprLiteral< TP >, \ + XprMatrix<E, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(XprLiteral< TP >(lhs), rhs)); \ +} + + +// integer operators only, e.g used on double you will get an error +namespace element_wise { + TVMET_IMPLEMENT_MACRO(mod, %, int) + TVMET_IMPLEMENT_MACRO(bitxor, ^, int) + TVMET_IMPLEMENT_MACRO(bitand, &, int) + TVMET_IMPLEMENT_MACRO(bitor, |, int) + TVMET_IMPLEMENT_MACRO(shl, <<, int) + TVMET_IMPLEMENT_MACRO(shr, >>, int) +} + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >, int) +TVMET_IMPLEMENT_MACRO(less, <, int) +TVMET_IMPLEMENT_MACRO(greater_eq, >=, int) +TVMET_IMPLEMENT_MACRO(less_eq, <=, int) +TVMET_IMPLEMENT_MACRO(eq, ==, int) +TVMET_IMPLEMENT_MACRO(not_eq, !=, int) +TVMET_IMPLEMENT_MACRO(and, &&, int) +TVMET_IMPLEMENT_MACRO(or, ||, int) + +#if defined(TVMET_HAVE_LONG_LONG) +// integer operators only +namespace element_wise { + TVMET_IMPLEMENT_MACRO(mod, %, long long int) + TVMET_IMPLEMENT_MACRO(bitxor, ^, long long int) + TVMET_IMPLEMENT_MACRO(bitand, &, long long int) + TVMET_IMPLEMENT_MACRO(bitor, |, long long int) + TVMET_IMPLEMENT_MACRO(shl, <<, long long int) + TVMET_IMPLEMENT_MACRO(shr, >>, long long int) +} + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >, long long int) +TVMET_IMPLEMENT_MACRO(less, <, long long int) +TVMET_IMPLEMENT_MACRO(greater_eq, >=, long long int) +TVMET_IMPLEMENT_MACRO(less_eq, <=, long long int) +TVMET_IMPLEMENT_MACRO(eq, ==, long long int) +TVMET_IMPLEMENT_MACRO(not_eq, !=, long long int) +TVMET_IMPLEMENT_MACRO(and, &&, long long int) +TVMET_IMPLEMENT_MACRO(or, ||, long long int) +#endif // defined(TVMET_HAVE_LONG_LONG) + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >, float) +TVMET_IMPLEMENT_MACRO(less, <, float) +TVMET_IMPLEMENT_MACRO(greater_eq, >=, float) +TVMET_IMPLEMENT_MACRO(less_eq, <=, float) +TVMET_IMPLEMENT_MACRO(eq, ==, float) +TVMET_IMPLEMENT_MACRO(not_eq, !=, float) +TVMET_IMPLEMENT_MACRO(and, &&, float) +TVMET_IMPLEMENT_MACRO(or, ||, float) + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >, double) +TVMET_IMPLEMENT_MACRO(less, <, double) +TVMET_IMPLEMENT_MACRO(greater_eq, >=, double) +TVMET_IMPLEMENT_MACRO(less_eq, <=, double) +TVMET_IMPLEMENT_MACRO(eq, ==, double) +TVMET_IMPLEMENT_MACRO(not_eq, !=, double) +TVMET_IMPLEMENT_MACRO(and, &&, double) +TVMET_IMPLEMENT_MACRO(or, ||, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >, long double) +TVMET_IMPLEMENT_MACRO(less, <, long double) +TVMET_IMPLEMENT_MACRO(greater_eq, >=, long double) +TVMET_IMPLEMENT_MACRO(less_eq, <=, long double) +TVMET_IMPLEMENT_MACRO(eq, ==, long double) +TVMET_IMPLEMENT_MACRO(not_eq, !=, long double) +TVMET_IMPLEMENT_MACRO(and, &&, long double) +TVMET_IMPLEMENT_MACRO(or, ||, long double) +#endif // defined(TVMET_HAVE_LONG_DOUBLE) + +#undef TVMET_IMPLEMENT_MACRO + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * global unary operators + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * unary_operator(const XprMatrix<E, Rows, Cols>& m) + * Note: per se element wise + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template <class E, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprUnOp< \ + Fcnl_##NAME<typename E::value_type>, \ + XprMatrix<E, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (const XprMatrix<E, Rows, Cols>& m) { \ + typedef XprUnOp< \ + Fcnl_##NAME<typename E::value_type>, \ + XprMatrix<E, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>(expr_type(m)); \ +} + +TVMET_IMPLEMENT_MACRO(not, !) +TVMET_IMPLEMENT_MACRO(compl, ~) +TVMET_IMPLEMENT_MACRO(neg, -) + +#undef TVMET_IMPLEMENT_MACRO + + +} // namespace tvmet + +#endif // TVMET_XPR_MATRIX_OPERATORS_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/xpr/MatrixRow.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,96 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * lesser General Public License for more details. + * + * You should have received a copy of the GNU lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: MatrixRow.h,v 1.18 2007-06-23 15:59:00 opetzold Exp $ + */ + +#ifndef TVMET_XPR_MATRIX_ROW_H +#define TVMET_XPR_MATRIX_ROW_H + +namespace tvmet { + + +/** + * \class XprMatrixRow MatrixRow.h "tvmet/xpr/MatrixRow.h" + * \brief Expression on matrix used for access on the row vector. + */ +template<class E, std::size_t Rows, std::size_t Cols> +class XprMatrixRow + : public TvmetBase< XprMatrixRow<E, Rows, Cols> > +{ + XprMatrixRow(); + XprMatrixRow& operator=(const XprMatrixRow&); + +public: + typedef typename E::value_type value_type; + +public: + /** Complexity counter. */ + enum { + ops_expr = E::ops, + ops = ops_expr/Rows // equal Col accesses + }; + +public: + /** Constructor. */ + explicit XprMatrixRow(const E& e, std::size_t no) + : m_expr(e), m_row(no) + { + TVMET_RT_CONDITION(no < Rows, "XprMatrixRow Bounce Violation") + } + + /** Copy Constructor. Not explicit! */ +#if defined(TVMET_OPTIMIZE_XPR_MANUAL_CCTOR) + XprMatrixRow(const XprMatrixRow& rhs) + : m_expr(rhs.m_expr), m_row(rhs.m_row) + { } +#endif + + value_type operator()(std::size_t j) const { + TVMET_RT_CONDITION(j < Cols, "XprMatrixRow Bounce Violation") + return m_expr(m_row, j); + } + +public: // debugging Xpr parse tree + void print_xpr(std::ostream& os, std::size_t l=0) const { + os << IndentLevel(l++) + << "XprMatrixRow[O=" << ops << ", (O=" << ops_expr << ")]<" + << std::endl; + m_expr.print_xpr(os, l); + os << IndentLevel(l) + << "R=" << Rows << ", C=" << Cols << std::endl + << IndentLevel(--l) << ">" + << ((l != 0) ? "," : "") << std::endl; + } + +private: + const E m_expr; + const std::size_t m_row; +}; + + +} + +#endif // TVMET_XPR_MATRIX_ROW_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/xpr/MatrixTranspose.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,89 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * lesser General Public License for more details. + * + * You should have received a copy of the GNU lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: MatrixTranspose.h,v 1.15 2007-06-23 15:59:00 opetzold Exp $ + */ + +#ifndef TVMET_XPR_MATRIX_TRANSPOSE_H +#define TVMET_XPR_MATRIX_TRANSPOSE_H + +namespace tvmet { + + +/** + * \class XprMatrixTranspose MatrixTranspose.h "tvmet/xpr/MatrixTranspose.h" + * \brief Expression for transpose matrix + */ +template<class E> +class XprMatrixTranspose + : public TvmetBase< XprMatrixTranspose<E> > +{ + XprMatrixTranspose(); + XprMatrixTranspose& operator=(const XprMatrixTranspose&); + +public: + typedef typename E::value_type value_type; + + /** Complexity counter. */ + enum { + ops_expr = E::ops, + ops = 1 * ops_expr + }; + +public: + /** Constructor. */ + explicit XprMatrixTranspose(const E& e) + : m_expr(e) + { } + + /** Copy Constructor. Not explicit! */ +#if defined(TVMET_OPTIMIZE_XPR_MANUAL_CCTOR) + XprMatrixTranspose(const XprMatrixTranspose& e) + : m_expr(e.m_expr) + { } +#endif + + /** index operator for arrays/matrices. This simple swap the index + access for transpose. */ + value_type operator()(std::size_t i, std::size_t j) const { return m_expr(j, i); } + +public: // debugging Xpr parse tree + void print_xpr(std::ostream& os, std::size_t l=0) const { + os << IndentLevel(l++) + << "XprMatrixTranspose[O=" << ops << ", (O=" << ops_expr << ")]<" + << std::endl; + m_expr.print_xpr(os, l); + os << IndentLevel(--l) + << ">," << std::endl; + } + +private: + const E m_expr; +}; + + +} // namespace tvmet + +#endif // TVMET_XPR_MATRIX_TRANSPOSE_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/xpr/MatrixUnaryFunctions.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,163 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * lesser General Public License for more details. + * + * You should have received a copy of the GNU lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: MatrixUnaryFunctions.h,v 1.11 2007-06-23 15:59:00 opetzold Exp $ + */ + +#ifndef TVMET_XPR_MATRIX_UNARY_FUNCTIONS_H +#define TVMET_XPR_MATRIX_UNARY_FUNCTIONS_H + +namespace tvmet { + + +/********************************************************* + * PART I: DECLARATION + *********************************************************/ + + +/* + * unary_function(XprMatrix<E, Rows, Cols>) + */ +#define TVMET_DECLARE_MACRO(NAME) \ +template<class E, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprUnOp< \ + Fcnl_##NAME<typename E::value_type>, \ + XprMatrix<E, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME(const XprMatrix<E, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(abs) +TVMET_DECLARE_MACRO(cbrt) +TVMET_DECLARE_MACRO(ceil) +TVMET_DECLARE_MACRO(floor) +TVMET_DECLARE_MACRO(rint) +TVMET_DECLARE_MACRO(sin) +TVMET_DECLARE_MACRO(cos) +TVMET_DECLARE_MACRO(tan) +TVMET_DECLARE_MACRO(sinh) +TVMET_DECLARE_MACRO(cosh) +TVMET_DECLARE_MACRO(tanh) +TVMET_DECLARE_MACRO(asin) +TVMET_DECLARE_MACRO(acos) +TVMET_DECLARE_MACRO(atan) +TVMET_DECLARE_MACRO(exp) +TVMET_DECLARE_MACRO(log) +TVMET_DECLARE_MACRO(log10) +TVMET_DECLARE_MACRO(sqrt) + +#if defined(TVMET_HAVE_IEEE_MATH) +TVMET_DECLARE_MACRO(asinh) +TVMET_DECLARE_MACRO(acosh) +TVMET_DECLARE_MACRO(atanh) +TVMET_DECLARE_MACRO(expm1) +TVMET_DECLARE_MACRO(log1p) +TVMET_DECLARE_MACRO(erf) +TVMET_DECLARE_MACRO(erfc) +TVMET_DECLARE_MACRO(j0) +TVMET_DECLARE_MACRO(j1) +TVMET_DECLARE_MACRO(y0) +TVMET_DECLARE_MACRO(y1) +TVMET_DECLARE_MACRO(lgamma) +/** \todo isnan etc. - default return is only an int! */ + +TVMET_DECLARE_MACRO(finite) +#endif // defined(TVMET_HAVE_IEEE_MATH) + +#undef TVMET_DECLARE_MACRO + + +/********************************************************* + * PART II: IMPLEMENTATION + *********************************************************/ + + +/* + * unary_function(XprMatrix<E, Rows, Cols>) + */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class E, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprUnOp< \ + Fcnl_##NAME<typename E::value_type>, \ + XprMatrix<E, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +NAME(const XprMatrix<E, Rows, Cols>& rhs) { \ + typedef XprUnOp< \ + Fcnl_##NAME<typename E::value_type>, \ + XprMatrix<E, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>(expr_type(rhs)); \ +} + +TVMET_IMPLEMENT_MACRO(abs) +TVMET_IMPLEMENT_MACRO(cbrt) +TVMET_IMPLEMENT_MACRO(ceil) +TVMET_IMPLEMENT_MACRO(floor) +TVMET_IMPLEMENT_MACRO(rint) +TVMET_IMPLEMENT_MACRO(sin) +TVMET_IMPLEMENT_MACRO(cos) +TVMET_IMPLEMENT_MACRO(tan) +TVMET_IMPLEMENT_MACRO(sinh) +TVMET_IMPLEMENT_MACRO(cosh) +TVMET_IMPLEMENT_MACRO(tanh) +TVMET_IMPLEMENT_MACRO(asin) +TVMET_IMPLEMENT_MACRO(acos) +TVMET_IMPLEMENT_MACRO(atan) +TVMET_IMPLEMENT_MACRO(exp) +TVMET_IMPLEMENT_MACRO(log) +TVMET_IMPLEMENT_MACRO(log10) +TVMET_IMPLEMENT_MACRO(sqrt) + +#if defined(TVMET_HAVE_IEEE_MATH) +TVMET_IMPLEMENT_MACRO(asinh) +TVMET_IMPLEMENT_MACRO(acosh) +TVMET_IMPLEMENT_MACRO(atanh) +TVMET_IMPLEMENT_MACRO(expm1) +TVMET_IMPLEMENT_MACRO(log1p) +TVMET_IMPLEMENT_MACRO(erf) +TVMET_IMPLEMENT_MACRO(erfc) +TVMET_IMPLEMENT_MACRO(j0) +TVMET_IMPLEMENT_MACRO(j1) +TVMET_IMPLEMENT_MACRO(y0) +TVMET_IMPLEMENT_MACRO(y1) +TVMET_IMPLEMENT_MACRO(lgamma) +/** \todo isnan etc. - default return is only an int! */ + +TVMET_IMPLEMENT_MACRO(finite) +#endif // defined(TVMET_HAVE_IEEE_MATH) + +#undef TVMET_IMPLEMENT_MACRO + + +} // namespace tvmet + +#endif // TVMET_XPR_MATRIX_UNARY_FUNCTIONS_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/xpr/MtMProduct.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,139 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: MtMProduct.h,v 1.19 2007-06-23 15:59:00 opetzold Exp $ + */ + +#ifndef TVMET_XPR_MTMPRODUCT_H +#define TVMET_XPR_MTMPRODUCT_H + +#include <tvmet/meta/Gemtm.h> +#include <tvmet/loop/Gemtm.h> + +namespace tvmet { + + +/** + * \class XprMtMProduct MtMProduct.h "tvmet/xpr/MtMProduct.h" + * \brief Expression for product of transposed(matrix)-matrix product. + * using formula + * \f[ + * M_1^{T}\,M_2 + * \f] + * \note The number of rows of rhs matrix have to be equal rows of rhs matrix, + * since lhs matrix 1 is transposed. + * The result is a (Cols1 x Cols2) matrix. + */ +template<class E1, std::size_t Rows1, std::size_t Cols1, + class E2, std::size_t Cols2> +class XprMtMProduct + : public TvmetBase< XprMtMProduct<E1, Rows1, Cols1, E2, Cols2> > +{ +private: + XprMtMProduct(); + XprMtMProduct& operator=(const XprMtMProduct&); + +public: + typedef typename PromoteTraits< + typename E1::value_type, + typename E2::value_type + >::value_type value_type; + +public: + /** Complexity counter. */ + enum { + ops_lhs = E1::ops, + ops_rhs = E2::ops, + M = Rows1 * Cols1 * Cols2, + N = (Rows1-1) * Cols1 * Cols2, + ops_plus = M * NumericTraits<value_type>::ops_plus, + ops_muls = N * NumericTraits<value_type>::ops_muls, + ops = ops_plus + ops_muls, + use_meta = Cols1*Cols2 < TVMET_COMPLEXITY_MM_TRIGGER ? true : false + }; + +public: + /** Constructor. */ + explicit XprMtMProduct(const E1& lhs, const E2& rhs) + : m_lhs(lhs), m_rhs(rhs) + { } + + /** Copy Constructor. Not explicit! */ +#if defined(TVMET_OPTIMIZE_XPR_MANUAL_CCTOR) + XprMtMProduct(const XprMtMProduct& e) + : m_lhs(e.m_lhs), m_rhs(e.m_rhs) { } +#endif + +private: + /** Wrapper for meta gemm. */ + static inline + value_type do_gemtm(dispatch<true>, const E1& lhs, const E2& rhs, std::size_t i, std::size_t j) { + return meta::gemtm<Rows1, Cols1, + Cols2, + 0>::prod(lhs, rhs, i, j); + } + + /** Wrapper for loop gemm. */ + static inline + value_type do_gemtm(dispatch<false>, const E1& lhs, const E2& rhs, std::size_t i, std::size_t j) { + return loop::gemtm<Rows1, Cols1, + Cols2>::prod(lhs, rhs, i, j); + } + +public: + /** index operator for arrays/matrices */ + value_type operator()(std::size_t i, std::size_t j) const { + TVMET_RT_CONDITION((i < Cols1) && (j < Cols2), "XprMtMProduct Bounce Violation") + return do_gemtm(dispatch<use_meta>(), m_lhs, m_rhs, i, j); + } + +public: // debugging Xpr parse tree + void print_xpr(std::ostream& os, std::size_t l=0) const { + os << IndentLevel(l++) + << "XprMtMProduct[" + << (use_meta ? "M" : "L") << ", O=" << ops + << ", (O1=" << ops_lhs << ", O2=" << ops_rhs << ")]<" + << std::endl; + m_lhs.print_xpr(os, l); + os << IndentLevel(l) + << "R1=" << Rows1 << ", C1=" << Cols1 << ",\n"; + m_rhs.print_xpr(os, l); + os << IndentLevel(l) + << "C2=" << Cols2 << ",\n" + << IndentLevel(l) + << "\n" + << IndentLevel(--l) + << ">," << std::endl; + } + +private: + const E1 m_lhs; + const E2 m_rhs; +}; + + +} // namespace tvmet + +#endif // TVMET_XPR_MTMPRODUCT_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/xpr/MtVProduct.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,128 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: MtVProduct.h,v 1.14 2007-06-23 15:59:00 opetzold Exp $ + */ + +#ifndef TVMET_XPR_MTVPRODUCT_H +#define TVMET_XPR_MTVPRODUCT_H + +#include <tvmet/meta/Gemtv.h> +#include <tvmet/loop/Gemtv.h> + +namespace tvmet { + + +/** + * \class XprMtVProduct MtVProduct.h "tvmet/xpr/MtVProduct.h" + * \brief Expression for matrix-transposed vector product + * using formula + * \f[ + * M^T\,v + * \f] + */ +template<class E1, std::size_t Rows, std::size_t Cols, + class E2> +class XprMtVProduct + : public TvmetBase< XprMtVProduct<E1, Rows, Cols, E2> > +{ + XprMtVProduct(); + XprMtVProduct& operator=(const XprMtVProduct&); + +public: + typedef typename PromoteTraits< + typename E1::value_type, + typename E2::value_type + >::value_type value_type; + +public: + /** Complexity counter. */ + enum { + ops_lhs = E1::ops, + ops_rhs = E2::ops, + M = Cols * Rows, + N = Cols * (Rows - 1), + ops_plus = M * NumericTraits<value_type>::ops_plus, + ops_muls = N * NumericTraits<value_type>::ops_muls, + ops = ops_plus + ops_muls, + use_meta = Rows*Cols < TVMET_COMPLEXITY_MV_TRIGGER ? true : false + }; + +public: + /** Constructor. */ + explicit XprMtVProduct(const E1& lhs, const E2& rhs) + : m_lhs(lhs), m_rhs(rhs) + { } + + /** Copy Constructor. Not explicit! */ +#if defined(TVMET_OPTIMIZE_XPR_MANUAL_CCTOR) + XprMtVProduct(const XprMtVProduct& e) + : m_lhs(e.m_lhs), m_rhs(e.m_rhs) + { } +#endif + +private: + /** Wrapper for meta gemm. */ + static inline + value_type do_gemtv(dispatch<true>, const E1& lhs, const E2& rhs, std::size_t i) { + return meta::gemtv<Rows, Cols, 0>::prod(lhs, rhs, i); + } + + /** Wrapper for loop gemm. */ + static inline + value_type do_gemtv(dispatch<false>, const E1& lhs, const E2& rhs, std::size_t i) { + return loop::gemtv<Rows, Cols>::prod(lhs, rhs, i); + } + +public: + /** index operator, returns the expression by index. This is the vector + style since a matrix*vector gives a vector. */ + value_type operator()(std::size_t j) const { + TVMET_RT_CONDITION(j < Cols , "XprMtVProduct Bounce Violation") + return do_gemtv(dispatch<use_meta>(), m_lhs, m_rhs, j); + } + +public: // debugging Xpr parse tree + void print_xpr(std::ostream& os, std::size_t l=0) const { + os << IndentLevel(l++) + << "XprMtVProduct[O=" << ops << ", (O1=" << ops_lhs << ", O2=" << ops_rhs << ")]<" + << std::endl; + m_lhs.print_xpr(os, l); + os << IndentLevel(l) + << "R=" << Rows << ", C=" << Cols << ",\n"; + m_rhs.print_xpr(os, l); + os << IndentLevel(--l) + << ">," << std::endl; + } + +private: + const E1 m_lhs; + const E2 m_rhs; +}; + + +} // namespace tvmet + +#endif // TVMET_XPR_MTVPRODUCT_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/xpr/Null.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,69 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Null.h,v 1.11 2007-06-23 15:59:00 opetzold Exp $ + */ + +#ifndef TVMET_XPR_NULL_H +#define TVMET_XPR_NULL_H + +namespace tvmet { + + +/** + * \class XprNull Null.h "tvmet/xpr/Null.h" + * \brief Null object design pattern + */ +class XprNull + : public TvmetBase< XprNull > +{ + XprNull& operator=(const XprNull&); + +public: + explicit XprNull() { } + +public: // debugging Xpr parse tree + void print_xpr(std::ostream& os, std::size_t l=0) const { + os << IndentLevel(l) << "XprNull[O=0]" << std::endl; + } +}; + + +#define TVMET_BINARY_OPERATOR(OP) \ +template< class T > \ +inline \ +T operator OP (const T& lhs, XprNull) { return lhs; } + +TVMET_BINARY_OPERATOR(+) +TVMET_BINARY_OPERATOR(-) +TVMET_BINARY_OPERATOR(*) +TVMET_BINARY_OPERATOR(/) + +#undef TVMET_BINARY_OPERATOR + + +} // namespace tvmet + +#endif // TVMET_XPR_NULL_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/xpr/UnOperator.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,99 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: UnOperator.h,v 1.17 2007-06-23 15:59:00 opetzold Exp $ + */ + +#ifndef TVMET_XPR_UNOPERATOR_H +#define TVMET_XPR_UNOPERATOR_H + +namespace tvmet { + + +/** + * \class XprUnOp UnOperator.h "tvmet/xpr/UnOperator.h" + * \brief Unary operator working on one subexpression. + * + * Using the access operator() the unary operation will be evaluated. + */ +template<class UnOp, class E> +class XprUnOp + : public TvmetBase< XprUnOp<UnOp, E> > +{ + XprUnOp(); + XprUnOp& operator=(const XprUnOp&); + +public: + typedef typename UnOp::value_type value_type; + +public: + /** Complexity counter. */ + enum { + ops_expr = E::ops, + ops = 1 * ops_expr + }; + +public: + /** Constructor for an expressions. */ + explicit XprUnOp(const E& e) + : m_expr(e) + { } + + /** Copy Constructor. Not explicit! */ +#if defined(TVMET_OPTIMIZE_XPR_MANUAL_CCTOR) + XprUnOp(const XprUnOp& e) + : m_expr(e.m_expr) + { } +#endif + + /** Index operator, evaluates the expression inside. */ + value_type operator()(std::size_t i) const { + return UnOp::apply_on(m_expr(i)); + } + + /** index operator for arrays/matrices. */ + value_type operator()(std::size_t i, std::size_t j) const { + return UnOp::apply_on(m_expr(i, j)); + } + +public: // debugging Xpr parse tree + void print_xpr(std::ostream& os, std::size_t l=0) const { + os << IndentLevel(l++) + << "XprUnOp[O="<< ops << ", (O=" << ops_expr << ")]<" + << std::endl; + UnOp::print_xpr(os, l); + m_expr.print_xpr(os, l); + os << IndentLevel(--l) + << ">," << std::endl; + } + +private: + const E m_expr; +}; + + +} // namespace tvmet + +#endif // TVMET_XPR_UNOPERATOR_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/xpr/Vector.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,157 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * lesser General Public License for more details. + * + * You should have received a copy of the GNU lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: Vector.h,v 1.28 2007-06-23 15:59:00 opetzold Exp $ + */ + +#ifndef TVMET_XPR_VECTOR_H +#define TVMET_XPR_VECTOR_H + +#include <tvmet/meta/Vector.h> +#include <tvmet/loop/Vector.h> + +namespace tvmet { + + +/* forwards */ +template <class T, std::size_t Sz> class Vector; + +/** + * \class XprVector Vector.h "tvmet/xpr/Vector.h" + * \brief Represents the expression for vectors at any node in the parse tree. + * + * Specifically, XprVector is the class that wraps the expression, and the + * expression itself is represented by the template parameter E. The + * class XprVector is known as an anonymizing expression wrapper because + * it can hold any subexpression of arbitrary complexity, allowing + * clients to work with any expression by holding on to it via the + * wrapper, without having to know the name of the type object that + * actually implements the expression. + * \note leave the Ctors non-explicit to allow implicit type conversation. + */ +template<class E, std::size_t Sz> +class XprVector : public TvmetBase< XprVector<E, Sz> > +{ + XprVector(); + XprVector& operator=(const XprVector&); + +public: + typedef typename E::value_type value_type; + +public: + /** Dimensions. */ + enum { + Size = Sz /**< The size of the vector. */ + }; + +public: + /** Complexity counter */ + enum { + ops_assign = Size, + ops = E::ops, + use_meta = ops_assign < TVMET_COMPLEXITY_V_ASSIGN_TRIGGER ? true : false + }; + +public: + /** Constructor. */ + explicit XprVector(const E& e) + : m_expr(e) + { } + + /** Copy Constructor. Not explicit! */ +#if defined(TVMET_OPTIMIZE_XPR_MANUAL_CCTOR) + XprVector(const XprVector& e) + : m_expr(e.m_expr) + { } +#endif + + /** const index operator for vectors. */ + value_type operator()(std::size_t i) const { + TVMET_RT_CONDITION(i < Size, "XprVector Bounce Violation") + return m_expr(i); + } + + /** const index operator for vectors. */ + value_type operator[](std::size_t i) const { + return this->operator()(i); + } + +private: + /** Wrapper for meta assign. */ + template<class Dest, class Src, class Assign> + static inline + void do_assign(dispatch<true>, Dest& dest, const Src& src, const Assign& assign_fn) { + meta::Vector<Size, 0>::assign(dest, src, assign_fn); + } + + /** Wrapper for loop assign. */ + template<class Dest, class Src, class Assign> + static inline + void do_assign(dispatch<false>, Dest& dest, const Src& src, const Assign& assign_fn) { + loop::Vector<Size>::assign(dest, src, assign_fn); + } + +public: + /** assign this expression to Vector dest. */ + template<class Dest, class Assign> + void assign_to(Dest& dest, const Assign& assign_fn) const { + /* here is a way for caching, since each complex 'Node' + is of type XprVector. */ + do_assign(dispatch<use_meta>(), dest, *this, assign_fn); + } + +public: // debugging Xpr parse tree + void print_xpr(std::ostream& os, std::size_t l=0) const { + os << IndentLevel(l++) + << "XprVector[" + << (use_meta ? "M" : "L") << ", O=" << ops << "]<" + << std::endl; + m_expr.print_xpr(os, l); + os << IndentLevel(l) + << "Sz=" << Size << std::endl; + os << IndentLevel(--l) << ">" + << ((l != 0) ? "," : "") << std::endl; + } + +private: + const E m_expr; +}; + + +} // namespace tvmet + +#include <tvmet/Functional.h> + +#include <tvmet/xpr/BinOperator.h> +#include <tvmet/xpr/UnOperator.h> +#include <tvmet/xpr/Literal.h> + +#include <tvmet/xpr/VectorFunctions.h> +#include <tvmet/xpr/VectorBinaryFunctions.h> +#include <tvmet/xpr/VectorUnaryFunctions.h> +#include <tvmet/xpr/VectorOperators.h> +#include <tvmet/xpr/Eval.h> + +#endif // TVMET_XPR_VECTOR_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/xpr/VectorBinaryFunctions.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,320 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: VectorBinaryFunctions.h,v 1.12 2007-06-23 15:59:00 opetzold Exp $ + */ + +#ifndef TVMET_XPR_VECTOR_BINARY_FUNCTIONS_H +#define TVMET_XPR_VECTOR_BINARY_FUNCTIONS_H + +namespace tvmet { + + +/********************************************************* + * PART I: DECLARATION + *********************************************************/ + + +/* + * binary_function(XprVector<E1, Sz>, XprVector<E2, Sz>) + */ +#define TVMET_DECLARE_MACRO(NAME) \ +template<class E1, class E2, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \ + XprVector<E1, Sz>, \ + XprVector<E2, Sz> \ + >, \ + Sz \ +> \ +NAME(const XprVector<E1, Sz>& lhs, \ + const XprVector<E2, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(atan2) +TVMET_DECLARE_MACRO(drem) +TVMET_DECLARE_MACRO(fmod) +TVMET_DECLARE_MACRO(hypot) +TVMET_DECLARE_MACRO(jn) +TVMET_DECLARE_MACRO(yn) +TVMET_DECLARE_MACRO(pow) +#if defined(TVMET_HAVE_COMPLEX) +TVMET_DECLARE_MACRO(polar) +#endif + +#undef TVMET_DECLARE_MACRO + + +/* + * binary_function(XprVector<E, Sz>, POD) + */ +#define TVMET_DECLARE_MACRO(NAME, TP) \ +template<class E, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, TP >, \ + XprVector<E, Sz>, \ + XprLiteral< TP > \ + >, \ + Sz \ +> \ +NAME(const XprVector<E, Sz>& lhs, \ + TP rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(atan2, int) +TVMET_DECLARE_MACRO(drem, int) +TVMET_DECLARE_MACRO(fmod, int) +TVMET_DECLARE_MACRO(hypot, int) +TVMET_DECLARE_MACRO(jn, int) +TVMET_DECLARE_MACRO(yn, int) +TVMET_DECLARE_MACRO(pow, int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_DECLARE_MACRO(atan2, long long int) +TVMET_DECLARE_MACRO(drem, long long int) +TVMET_DECLARE_MACRO(fmod, long long int) +TVMET_DECLARE_MACRO(hypot, long long int) +TVMET_DECLARE_MACRO(jn, long long int) +TVMET_DECLARE_MACRO(yn, long long int) +TVMET_DECLARE_MACRO(pow, long long int) +#endif // defined(TVMET_HAVE_LONG_LONG) + +TVMET_DECLARE_MACRO(atan2, float) +TVMET_DECLARE_MACRO(drem, float) +TVMET_DECLARE_MACRO(fmod, float) +TVMET_DECLARE_MACRO(hypot, float) +TVMET_DECLARE_MACRO(jn, float) +TVMET_DECLARE_MACRO(yn, float) +TVMET_DECLARE_MACRO(pow, float) + +TVMET_DECLARE_MACRO(atan2, double) +TVMET_DECLARE_MACRO(drem, double) +TVMET_DECLARE_MACRO(fmod, double) +TVMET_DECLARE_MACRO(hypot, double) +TVMET_DECLARE_MACRO(jn, double) +TVMET_DECLARE_MACRO(yn, double) +TVMET_DECLARE_MACRO(pow, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_DECLARE_MACRO(atan2, long double) +TVMET_DECLARE_MACRO(drem, long double) +TVMET_DECLARE_MACRO(fmod, long double) +TVMET_DECLARE_MACRO(hypot, long double) +TVMET_DECLARE_MACRO(jn, long double) +TVMET_DECLARE_MACRO(yn, long double) +TVMET_DECLARE_MACRO(pow, long double) +#endif // defined(TVMET_HAVE_LONG_DOUBLE) + +#undef TVMET_DECLARE_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * binary_function(XprVector<E, Sz>, std::complex<>) + */ +#define TVMET_DECLARE_MACRO(NAME) \ +template<class E, std::size_t Sz, class T> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, std::complex<T> >, \ + XprVector<E, Sz>, \ + XprLiteral< std::complex<T> > \ + >, \ + Sz \ +> \ +NAME(const XprVector<E, Sz>& lhs, \ + const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(atan2) +TVMET_DECLARE_MACRO(drem) +TVMET_DECLARE_MACRO(fmod) +TVMET_DECLARE_MACRO(hypot) +TVMET_DECLARE_MACRO(jn) +TVMET_DECLARE_MACRO(yn) +TVMET_DECLARE_MACRO(pow) + +#undef TVMET_DECLARE_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/********************************************************* + * PART II: IMPLEMENTATION + *********************************************************/ + + +/* + * binary_function(XprVector<E1, Sz>, XprVector<E2, Sz>) + */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class E1, class E2, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \ + XprVector<E1, Sz>, \ + XprVector<E2, Sz> \ + >, \ + Sz \ +> \ +NAME(const XprVector<E1, Sz>& lhs, const XprVector<E2, Sz>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \ + XprVector<E1, Sz>, \ + XprVector<E2, Sz> \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(lhs, rhs)); \ +} + +TVMET_IMPLEMENT_MACRO(atan2) +TVMET_IMPLEMENT_MACRO(drem) +TVMET_IMPLEMENT_MACRO(fmod) +TVMET_IMPLEMENT_MACRO(hypot) +TVMET_IMPLEMENT_MACRO(jn) +TVMET_IMPLEMENT_MACRO(yn) +TVMET_IMPLEMENT_MACRO(pow) +#if defined(TVMET_HAVE_COMPLEX) +TVMET_IMPLEMENT_MACRO(polar) +#endif + +#undef TVMET_IMPLEMENT_MACRO + + +/* + * binary_function(XprVector<E, Sz>, POD) + */ +#define TVMET_IMPLEMENT_MACRO(NAME, TP) \ +template<class E, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, TP >, \ + XprVector<E, Sz>, \ + XprLiteral< TP > \ + >, \ + Sz \ +> \ +NAME(const XprVector<E, Sz>& lhs, TP rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<typename E::value_type, TP >, \ + XprVector<E, Sz>, \ + XprLiteral< TP > \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(lhs, XprLiteral< TP >(rhs))); \ +} + +TVMET_IMPLEMENT_MACRO(atan2, int) +TVMET_IMPLEMENT_MACRO(drem, int) +TVMET_IMPLEMENT_MACRO(fmod, int) +TVMET_IMPLEMENT_MACRO(hypot, int) +TVMET_IMPLEMENT_MACRO(jn, int) +TVMET_IMPLEMENT_MACRO(yn, int) +TVMET_IMPLEMENT_MACRO(pow, int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_IMPLEMENT_MACRO(atan2, long long int) +TVMET_IMPLEMENT_MACRO(drem, long long int) +TVMET_IMPLEMENT_MACRO(fmod, long long int) +TVMET_IMPLEMENT_MACRO(hypot, long long int) +TVMET_IMPLEMENT_MACRO(jn, long long int) +TVMET_IMPLEMENT_MACRO(yn, long long int) +TVMET_IMPLEMENT_MACRO(pow, long long int) +#endif // defined(TVMET_HAVE_LONG_LONG) + +TVMET_IMPLEMENT_MACRO(atan2, float) +TVMET_IMPLEMENT_MACRO(drem, float) +TVMET_IMPLEMENT_MACRO(fmod, float) +TVMET_IMPLEMENT_MACRO(hypot, float) +TVMET_IMPLEMENT_MACRO(jn, float) +TVMET_IMPLEMENT_MACRO(yn, float) +TVMET_IMPLEMENT_MACRO(pow, float) + +TVMET_IMPLEMENT_MACRO(atan2, double) +TVMET_IMPLEMENT_MACRO(drem, double) +TVMET_IMPLEMENT_MACRO(fmod, double) +TVMET_IMPLEMENT_MACRO(hypot, double) +TVMET_IMPLEMENT_MACRO(jn, double) +TVMET_IMPLEMENT_MACRO(yn, double) +TVMET_IMPLEMENT_MACRO(pow, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_IMPLEMENT_MACRO(atan2, long double) +TVMET_IMPLEMENT_MACRO(drem, long double) +TVMET_IMPLEMENT_MACRO(fmod, long double) +TVMET_IMPLEMENT_MACRO(hypot, long double) +TVMET_IMPLEMENT_MACRO(jn, long double) +TVMET_IMPLEMENT_MACRO(yn, long double) +TVMET_IMPLEMENT_MACRO(pow, long double) +#endif // defined(TVMET_HAVE_LONG_DOUBLE) + +#undef TVMET_IMPLEMENT_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * binary_function(XprVector<E, Sz>, std::complex<>) + */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class E, std::size_t Sz, class T> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, std::complex<T> >, \ + XprVector<E, Sz>, \ + XprLiteral< std::complex<T> > \ + >, \ + Sz \ +> \ +NAME(const XprVector<E, Sz>& lhs, const std::complex<T>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<typename E::value_type, std::complex<T> >, \ + XprVector<E, Sz>, \ + XprLiteral< std::complex<T> > \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(lhs, XprLiteral< std::complex<T> >(rhs))); \ +} + +TVMET_IMPLEMENT_MACRO(atan2) +TVMET_IMPLEMENT_MACRO(drem) +TVMET_IMPLEMENT_MACRO(fmod) +TVMET_IMPLEMENT_MACRO(hypot) +TVMET_IMPLEMENT_MACRO(jn) +TVMET_IMPLEMENT_MACRO(yn) +TVMET_IMPLEMENT_MACRO(pow) + +#undef TVMET_IMPLEMENT_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +} // namespace tvmet + +#endif // TVMET_XPR_VECTOR_BINARY_FUNCTIONS_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/xpr/VectorFunctions.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,684 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: VectorFunctions.h,v 1.21 2007-06-23 15:59:00 opetzold Exp $ + */ + +#ifndef TVMET_XPR_VECTOR_FUNCTIONS_H +#define TVMET_XPR_VECTOR_FUNCTIONS_H + +namespace tvmet { + + +/* forwards */ +template<class T, std::size_t Sz> class Vector; + + +/********************************************************* + * PART I: DECLARATION + *********************************************************/ + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Vector arithmetic functions add, sub, mul and div + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * function(XprVector<E1, Sz>, XprVector<E2, Sz>) + */ +#define TVMET_DECLARE_MACRO(NAME) \ +template<class E1, class E2, std::size_t Sz> \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \ + XprVector<E1, Sz>, \ + XprVector<E2, Sz> \ + >, \ + Sz \ +> \ +NAME (const XprVector<E1, Sz>& lhs, \ + const XprVector<E2, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(add) // per se element wise +TVMET_DECLARE_MACRO(sub) // per se element wise +TVMET_DECLARE_MACRO(mul) // per se element wise +namespace element_wise { + TVMET_DECLARE_MACRO(div) // not defined for vectors +} + +#undef TVMET_DECLARE_MACRO + + +/* + * function(XprVector<E, Sz>, POD) + * function(POD, XprVector<E, Sz>) + * Note: - operations +,-,*,/ are per se element wise + */ +#define TVMET_DECLARE_MACRO(NAME, POD) \ +template<class E, std::size_t Sz> \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< typename E::value_type, POD >, \ + XprVector<E, Sz>, \ + XprLiteral< POD > \ + >, \ + Sz \ +> \ +NAME (const XprVector<E, Sz>& lhs, \ + POD rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class E, std::size_t Sz> \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< POD, typename E::value_type>, \ + XprLiteral< POD >, \ + XprVector<E, Sz> \ + >, \ + Sz \ +> \ +NAME (POD lhs, \ + const XprVector<E, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(add, int) +TVMET_DECLARE_MACRO(sub, int) +TVMET_DECLARE_MACRO(mul, int) +TVMET_DECLARE_MACRO(div, int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_DECLARE_MACRO(add, long long int) +TVMET_DECLARE_MACRO(sub, long long int) +TVMET_DECLARE_MACRO(mul, long long int) +TVMET_DECLARE_MACRO(div, long long int) +#endif + +TVMET_DECLARE_MACRO(add, float) +TVMET_DECLARE_MACRO(sub, float) +TVMET_DECLARE_MACRO(mul, float) +TVMET_DECLARE_MACRO(div, float) + +TVMET_DECLARE_MACRO(add, double) +TVMET_DECLARE_MACRO(sub, double) +TVMET_DECLARE_MACRO(mul, double) +TVMET_DECLARE_MACRO(div, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_DECLARE_MACRO(add, long double) +TVMET_DECLARE_MACRO(sub, long double) +TVMET_DECLARE_MACRO(mul, long double) +TVMET_DECLARE_MACRO(div, long double) +#endif + +#undef TVMET_DECLARE_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * function(XprMatrix<E, Rows, Cols>, complex<T>) + * function(complex<T>, XprMatrix<E, Rows, Cols>) + * Note: - operations +,-,*,/ are per se element wise + * \todo type promotion + */ +#define TVMET_DECLARE_MACRO(NAME) \ +template<class E, std::size_t Sz, class T> \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< typename E::value_type, std::complex<T> >, \ + XprVector<E, Sz>, \ + XprLiteral< std::complex<T> > \ + >, \ + Sz \ +> \ +NAME (const XprVector<E, Sz>& lhs, \ + const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class E, std::size_t Sz, class T> \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, typename E::value_type>, \ + XprLiteral< std::complex<T> >, \ + XprVector<E, Sz> \ + >, \ + Sz \ +> \ +NAME (const std::complex<T>& lhs, \ + const XprVector<E, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(add) +TVMET_DECLARE_MACRO(sub) +TVMET_DECLARE_MACRO(mul) +TVMET_DECLARE_MACRO(div) + +#undef TVMET_DECLARE_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * vector specific functions + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +template<class E, std::size_t Sz> +typename NumericTraits<typename E::value_type>::sum_type +sum(const XprVector<E, Sz>& v) TVMET_CXX_ALWAYS_INLINE; + + +template<class E, std::size_t Sz> +typename NumericTraits<typename E::value_type>::sum_type +product(const XprVector<E, Sz>& v) TVMET_CXX_ALWAYS_INLINE; + + +template<class E1, class E2, std::size_t Sz> +typename PromoteTraits< + typename E1::value_type, + typename E2::value_type +>::value_type +dot(const XprVector<E1, Sz>& lhs, + const XprVector<E2, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class T, class E, std::size_t Sz> +typename PromoteTraits<T, typename E::value_type>::value_type +dot(const Vector<T, Sz>& lhs, + const XprVector<E, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class E, class T, std::size_t Sz> +typename PromoteTraits<T, typename E::value_type>::value_type +dot(const XprVector<E, Sz>& lhs, + const Vector<T, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class E1, class E2> +Vector< + typename PromoteTraits< + typename E1::value_type, + typename E2::value_type + >::value_type, + 3 +> +cross(const XprVector<E1, 3>& lhs, + const XprVector<E2, 3>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class T, class E> +Vector< + typename PromoteTraits<T, typename E::value_type>::value_type, 3> +cross(const Vector<T, 3>& lhs, + const XprVector<E, 3>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class E, class T> +Vector< + typename PromoteTraits<T, typename E::value_type>::value_type, 3> +cross(const XprVector<E, 3>& lhs, + const Vector<T, 3>& rhs) TVMET_CXX_ALWAYS_INLINE; + + +template<class E, std::size_t Sz> +typename NumericTraits<typename E::value_type>::sum_type +norm1(const XprVector<E, Sz>& v) TVMET_CXX_ALWAYS_INLINE; + + +template<class E, std::size_t Sz> +typename NumericTraits<typename E::value_type>::sum_type +norm2(const XprVector<E, Sz>& v) TVMET_CXX_ALWAYS_INLINE; + + +template<class E, std::size_t Sz> +XprVector< + XprBinOp< + Fcnl_div<typename E::value_type, typename E::value_type>, + XprVector<E, Sz>, + XprLiteral<typename E::value_type> + >, + Sz +> +normalize(const XprVector<E, Sz>& v) TVMET_CXX_ALWAYS_INLINE; + + +/********************************************************* + * PART II: IMPLEMENTATION + *********************************************************/ + + +/* + * function(XprVector<E1, Sz>, XprVector<E2, Sz>) + */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class E1, class E2, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \ + XprVector<E1, Sz>, \ + XprVector<E2, Sz> \ + >, \ + Sz \ +> \ +NAME (const XprVector<E1, Sz>& lhs, const XprVector<E2, Sz>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \ + XprVector<E1, Sz>, \ + XprVector<E2, Sz> \ + > expr_type; \ + return XprVector<expr_type, Sz>(expr_type(lhs, rhs)); \ +} + +TVMET_IMPLEMENT_MACRO(add) // per se element wise +TVMET_IMPLEMENT_MACRO(sub) // per se element wise +TVMET_IMPLEMENT_MACRO(mul) // per se element wise +namespace element_wise { + TVMET_IMPLEMENT_MACRO(div) // not defined for vectors +} + +#undef TVMET_IMPLEMENT_MACRO + + +/* + * function(XprVector<E, Sz>, POD) + * function(POD, XprVector<E, Sz>) + * Note: - operations +,-,*,/ are per se element wise + */ +#define TVMET_IMPLEMENT_MACRO(NAME, POD) \ +template<class E, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< typename E::value_type, POD >, \ + XprVector<E, Sz>, \ + XprLiteral< POD > \ + >, \ + Sz \ +> \ +NAME (const XprVector<E, Sz>& lhs, POD rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME< typename E::value_type, POD >, \ + XprVector<E, Sz>, \ + XprLiteral< POD > \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(lhs, XprLiteral< POD >(rhs))); \ +} \ + \ +template<class E, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< POD, typename E::value_type>, \ + XprLiteral< POD >, \ + XprVector<E, Sz> \ + >, \ + Sz \ +> \ +NAME (POD lhs, const XprVector<E, Sz>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME< POD, typename E::value_type>, \ + XprLiteral< POD >, \ + XprVector<E, Sz> \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(XprLiteral< POD >(lhs), rhs)); \ +} + +TVMET_IMPLEMENT_MACRO(add, int) +TVMET_IMPLEMENT_MACRO(sub, int) +TVMET_IMPLEMENT_MACRO(mul, int) +TVMET_IMPLEMENT_MACRO(div, int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_IMPLEMENT_MACRO(add, long long int) +TVMET_IMPLEMENT_MACRO(sub, long long int) +TVMET_IMPLEMENT_MACRO(mul, long long int) +TVMET_IMPLEMENT_MACRO(div, long long int) +#endif + +TVMET_IMPLEMENT_MACRO(add, float) +TVMET_IMPLEMENT_MACRO(sub, float) +TVMET_IMPLEMENT_MACRO(mul, float) +TVMET_IMPLEMENT_MACRO(div, float) + +TVMET_IMPLEMENT_MACRO(add, double) +TVMET_IMPLEMENT_MACRO(sub, double) +TVMET_IMPLEMENT_MACRO(mul, double) +TVMET_IMPLEMENT_MACRO(div, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_IMPLEMENT_MACRO(add, long double) +TVMET_IMPLEMENT_MACRO(sub, long double) +TVMET_IMPLEMENT_MACRO(mul, long double) +TVMET_IMPLEMENT_MACRO(div, long double) +#endif + +#undef TVMET_IMPLEMENT_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * function(XprMatrix<E, Rows, Cols>, complex<T>) + * function(complex<T>, XprMatrix<E, Rows, Cols>) + * Note: - operations +,-,*,/ are per se element wise + * \todo type promotion + */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class E, std::size_t Sz, class T> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< typename E::value_type, std::complex<T> >, \ + XprVector<E, Sz>, \ + XprLiteral< std::complex<T> > \ + >, \ + Sz \ +> \ +NAME (const XprVector<E, Sz>& lhs, const std::complex<T>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME< typename E::value_type, std::complex<T> >, \ + XprVector<E, Sz>, \ + XprLiteral< std::complex<T> > \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(lhs, XprLiteral< std::complex<T> >(rhs))); \ +} \ + \ +template<class E, std::size_t Sz, class T> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, typename E::value_type>, \ + XprLiteral< std::complex<T> >, \ + XprVector<E, Sz> \ + >, \ + Sz \ +> \ +NAME (const std::complex<T>& lhs, const XprVector<E, Sz>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME< std::complex<T>, typename E::value_type>, \ + XprLiteral< std::complex<T> >, \ + XprVector<E, Sz> \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(XprLiteral< std::complex<T> >(lhs), rhs)); \ +} + +TVMET_IMPLEMENT_MACRO(add) +TVMET_IMPLEMENT_MACRO(sub) +TVMET_IMPLEMENT_MACRO(mul) +TVMET_IMPLEMENT_MACRO(div) + +#undef TVMET_IMPLEMENT_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * vector specific functions + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/** + * \fn sum(const XprVector<E, Sz>& v) + * \brief Compute the sum of the vector expression. + * \ingroup _unary_function + * + * Simply compute the sum of the given vector as: + * \f[ + * \sum_{i = 0}^{Sz-1} v[i] + * \f] + */ +template<class E, std::size_t Sz> +inline +typename NumericTraits<typename E::value_type>::sum_type +sum(const XprVector<E, Sz>& v) { + return meta::Vector<Sz>::sum(v); +} + + +/** + * \fn product(const XprVector<E, Sz>& v) + * \brief Compute the product of the vector elements. + * \ingroup _unary_function + * + * Simply computer the product of the given vector expression as: + * \f[ + * \prod_{i = 0}^{Sz - 1} v[i] + * \f] + */ +template<class E, std::size_t Sz> +inline +typename NumericTraits<typename E::value_type>::sum_type +product(const XprVector<E, Sz>& v) { + return meta::Vector<Sz>::product(v); +} + + +/** + * \fn dot(const XprVector<E1, Sz>& lhs, const XprVector<E2, Sz>& rhs) + * \brief Compute the dot/inner product + * \ingroup _binary_function + * + * Compute the dot product as: + * \f[ + * \sum_{i = 0}^{Sz - 1} ( lhs[i] * rhs[i] ) + * \f] + * where lhs is a column vector and rhs is a row vector, both vectors + * have the same dimension. + */ +template<class E1, class E2, std::size_t Sz> +inline +typename PromoteTraits< + typename E1::value_type, + typename E2::value_type +>::value_type +dot(const XprVector<E1, Sz>& lhs, const XprVector<E2, Sz>& rhs) { + return meta::Vector<Sz>::dot(lhs, rhs); +} + + +/** + * \fn dot(const Vector<T, Sz>& lhs, const XprVector<E, Sz>& rhs) + * \brief Compute the dot/inner product + * \ingroup _binary_function + * + * Compute the dot product as: + * \f[ + * \sum_{i = 0}^{Sz - 1} ( lhs[i] * rhs[i] ) + * \f] + * where lhs is a column vector and rhs is a row vector, both vectors + * have the same dimension. + */ +template<class T, class E, std::size_t Sz> +inline +typename PromoteTraits<T, typename E::value_type>::value_type +dot(const Vector<T, Sz>& lhs, const XprVector<E, Sz>& rhs) { + return meta::Vector<Sz>::dot(lhs, rhs); +} + + +/** + * \fn dot(const XprVector<E, Sz>& lhs, const Vector<T, Sz>& rhs) + * \brief Compute the dot/inner product + * \ingroup _binary_function + * + * Compute the dot product as: + * \f[ + * \sum_{i = 0}^{Sz - 1} ( lhs[i] * rhs[i] ) + * \f] + * where lhs is a column vector and rhs is a row vector, both vectors + * have the same dimension. + */ +template<class E, class T, std::size_t Sz> +inline +typename PromoteTraits<T, typename E::value_type>::value_type +dot(const XprVector<E, Sz>& lhs, const Vector<T, Sz>& rhs) { + return meta::Vector<Sz>::dot(lhs, rhs); +} + + +/** + * \fn cross(const XprVector<E1, 3>& lhs, const XprVector<E2, 3>& rhs) + * \brief Compute the cross/outer product + * \ingroup _binary_function + * \note working only for vectors of size = 3 + * \todo Implement vector outer product as ET and MT, returning a XprVector + */ +template<class E1, class E2> +inline +Vector< + typename PromoteTraits< + typename E1::value_type, + typename E2::value_type + >::value_type, + 3 +> +cross(const XprVector<E1, 3>& lhs, const XprVector<E2, 3>& rhs) { + typedef typename PromoteTraits< + typename E1::value_type, + typename E2::value_type + >::value_type value_type; + return Vector<value_type, 3>(lhs(1)*rhs(2) - rhs(1)*lhs(2), + rhs(0)*lhs(2) - lhs(0)*rhs(2), + lhs(0)*rhs(1) - rhs(0)*lhs(1)); +} + + +/** + * \fn cross(const XprVector<E, 3>& lhs, const Vector<T, 3>& rhs) + * \brief Compute the cross/outer product + * \ingroup _binary_function + * \note working only for vectors of size = 3 + * \todo Implement vector outer product as ET and MT, returning a XprVector + */ +template<class E, class T> +inline +Vector< + typename PromoteTraits<T, typename E::value_type>::value_type, 3> +cross(const XprVector<E, 3>& lhs, const Vector<T, 3>& rhs) { + typedef typename PromoteTraits< + typename E::value_type, T>::value_type value_type; + return Vector<value_type, 3>(lhs(1)*rhs(2) - rhs(1)*lhs(2), + rhs(0)*lhs(2) - lhs(0)*rhs(2), + lhs(0)*rhs(1) - rhs(0)*lhs(1)); +} + + +/** + * \fn cross(const Vector<T, 3>& lhs, const XprVector<E, 3>& rhs) + * \brief Compute the cross/outer product + * \ingroup _binary_function + * \note working only for vectors of size = 3 + * \todo Implement vector outer product as ET and MT, returning a XprVector + */ +template<class T1, class E2> +inline +Vector< + typename PromoteTraits<T1, typename E2::value_type>::value_type, 3> +cross(const Vector<T1, 3>& lhs, const XprVector<E2, 3>& rhs) { + typedef typename PromoteTraits< + typename E2::value_type, T1>::value_type value_type; + return Vector<value_type, 3>(lhs(1)*rhs(2) - rhs(1)*lhs(2), + rhs(0)*lhs(2) - lhs(0)*rhs(2), + lhs(0)*rhs(1) - rhs(0)*lhs(1)); +} + + +/** + * \fn norm1(const XprVector<E, Sz>& v) + * \brief The \f$l_1\f$ norm of a vector expression. + * \ingroup _unary_function + * The norm of any vector is just the square root of the dot product of + * a vector with itself, or + * + * \f[ + * |Vector<T, Sz> v| = |v| = \sum_{i=0}^{Sz-1}\,|v[i]| + * \f] + */ +template<class E, std::size_t Sz> +inline +typename NumericTraits<typename E::value_type>::sum_type +norm1(const XprVector<E, Sz>& v) { + return sum(abs(v)); +} + + +/** + * \fn norm2(const XprVector<E, Sz>& v) + * \brief The euklidian norm (or \f$l_2\f$ norm) of a vector expression. + * \ingroup _unary_function + * The norm of any vector is just the square root of the dot product of + * a vector with itself, or + * + * \f[ + * |Vector<T, Sz> v| = |v| = \sqrt{ \sum_{i=0}^{Sz-1}\,v[i]^2 } + * \f] + * + * \note The internal cast for Vector<int> avoids warnings on sqrt. + */ +template<class E, std::size_t Sz> +inline +typename NumericTraits<typename E::value_type>::sum_type +norm2(const XprVector<E, Sz>& v) { + typedef typename E::value_type value_type; + return static_cast<value_type>( std::sqrt(static_cast<value_type>(dot(v, v))) ); +} + + +/** + * \fn normalize(const XprVector<E, Sz>& v) + * \brief Normalize the given vector expression. + * \ingroup _unary_function + * \sa norm2 + * + * using the equation: + * \f[ + * \frac{Vector<T, Sz> v}{\sqrt{ \sum_{i=0}^{Sz-1}\,v[i]^2 }} + * \f] + */ +template<class E, std::size_t Sz> +inline +XprVector< + XprBinOp< + Fcnl_div<typename E::value_type, typename E::value_type>, + XprVector<E, Sz>, + XprLiteral<typename E::value_type> + >, + Sz +> +normalize(const XprVector<E, Sz>& v) { + typedef typename E::value_type value_type; + typedef XprBinOp< + Fcnl_div<value_type, value_type>, + XprVector<E, Sz>, + XprLiteral<value_type> + > expr_type; + return XprVector<expr_type, Sz>( + expr_type(v, XprLiteral< value_type >(norm2(v)))); +} + + +} // namespace tvmet + +#endif // TVMET_XPR_VECTOR_FUNCTIONS_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/xpr/VectorOperators.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,830 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * lesser General Public License for more details. + * + * You should have received a copy of the GNU lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: VectorOperators.h,v 1.17 2007-06-23 15:59:00 opetzold Exp $ + */ + +#ifndef TVMET_XPR_VECTOR_OPERATORS_H +#define TVMET_XPR_VECTOR_OPERATORS_H + +namespace tvmet { + + +/********************************************************* + * PART I: DECLARATION + *********************************************************/ + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Vector arithmetic operators implemented by functions + * add, sub, mul and div + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * operator(XprVector<E1, Sz>, XprVector<E2, Sz>) + */ +#define TVMET_DECLARE_MACRO(NAME, OP) \ +template<class E1, class E2, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \ + XprVector<E1, Sz>, \ + XprVector<E2, Sz> \ + >, \ + Sz \ +> \ +operator OP (const XprVector<E1, Sz>& lhs, \ + const XprVector<E2, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(add, +) // per se element wise +TVMET_DECLARE_MACRO(sub, -) // per se element wise +TVMET_DECLARE_MACRO(mul, *) // per se element wise +namespace element_wise { + TVMET_DECLARE_MACRO(div, /) // not defined for vectors +} + +#undef TVMET_DECLARE_MACRO + + +/* + * operator(XprVector<E, Sz>, POD) + * operator(POD, XprVector<E, Sz>) + * Note: operations +,-,*,/ are per se element wise + */ +#define TVMET_DECLARE_MACRO(NAME, OP, POD) \ +template<class E, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, POD >, \ + XprVector<E, Sz>, \ + XprLiteral< POD > \ + >, \ + Sz \ +> \ +operator OP (const XprVector<E, Sz>& lhs, \ + POD rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class E, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< POD, typename E::value_type >, \ + XprLiteral< POD >, \ + XprVector< E, Sz> \ + >, \ + Sz \ +> \ +operator OP (POD lhs, \ + const XprVector<E, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(add, +, int) +TVMET_DECLARE_MACRO(sub, -, int) +TVMET_DECLARE_MACRO(mul, *, int) +TVMET_DECLARE_MACRO(div, /, int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_DECLARE_MACRO(add, +, long long int) +TVMET_DECLARE_MACRO(sub, -, long long int) +TVMET_DECLARE_MACRO(mul, *, long long int) +TVMET_DECLARE_MACRO(div, /, long long int) +#endif + +TVMET_DECLARE_MACRO(add, +, float) +TVMET_DECLARE_MACRO(sub, -, float) +TVMET_DECLARE_MACRO(mul, *, float) +TVMET_DECLARE_MACRO(div, /, float) + +TVMET_DECLARE_MACRO(add, +, double) +TVMET_DECLARE_MACRO(sub, -, double) +TVMET_DECLARE_MACRO(mul, *, double) +TVMET_DECLARE_MACRO(div, /, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_DECLARE_MACRO(add, +, long double) +TVMET_DECLARE_MACRO(sub, -, long double) +TVMET_DECLARE_MACRO(mul, *, long double) +TVMET_DECLARE_MACRO(div, /, long double) +#endif + +#undef TVMET_DECLARE_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * operator(XprVector<E, Sz>, complex<T>) + * operator(complex<T>, XprVector<E, Sz>) + * Note: operations +,-,*,/ are per se element wise + */ +#define TVMET_DECLARE_MACRO(NAME, OP) \ +template<class E, std::size_t Sz, class T> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, std::complex<T> >, \ + XprVector<E, Sz>, \ + XprLiteral< std::complex<T> > \ + >, \ + Sz \ +> \ +operator OP (const XprVector<E, Sz>& lhs, \ + const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class E, std::size_t Sz, class T> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, typename E::value_type >, \ + XprLiteral< std::complex<T> >, \ + XprVector< E, Sz> \ + >, \ + Sz \ +> \ +operator OP (const std::complex<T>& lhs, \ + const XprVector<E, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(add, +) // per se element wise +TVMET_DECLARE_MACRO(sub, -) // per se element wise +TVMET_DECLARE_MACRO(mul, *) // per se element wise +TVMET_DECLARE_MACRO(div, /) // per se element wise + +#undef TVMET_DECLARE_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Vector integer and compare operators + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * operator(XprVector, XprVector) + */ +#define TVMET_DECLARE_MACRO(NAME, OP) \ +template<class E1, class E2, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \ + XprVector<E1, Sz>, \ + XprVector<E2, Sz> \ + >, \ + Sz \ +> \ +operator OP (const XprVector<E1, Sz>& lhs, \ + const XprVector<E2, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + +// integer operators only, e.g used on double you wil get an error +namespace element_wise { + TVMET_DECLARE_MACRO(mod, %) + TVMET_DECLARE_MACRO(bitxor, ^) + TVMET_DECLARE_MACRO(bitand, &) + TVMET_DECLARE_MACRO(bitor, |) + TVMET_DECLARE_MACRO(shl, <<) + TVMET_DECLARE_MACRO(shr, >>) +} + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >) +TVMET_DECLARE_MACRO(less, <) +TVMET_DECLARE_MACRO(greater_eq, >=) +TVMET_DECLARE_MACRO(less_eq, <=) +TVMET_DECLARE_MACRO(eq, ==) +TVMET_DECLARE_MACRO(not_eq, !=) +TVMET_DECLARE_MACRO(and, &&) +TVMET_DECLARE_MACRO(or, ||) + +#undef TVMET_DECLARE_MACRO + + +/* + * operator(Vector<T, Sz>, POD) + * operator(POD, Vector<T, Sz>) + * Note: operations are per se element_wise + */ +#define TVMET_DECLARE_MACRO(NAME, OP, TP) \ +template<class E, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, TP >, \ + XprVector<E, Sz>, \ + XprLiteral< TP > \ + >, \ + Sz \ +> \ +operator OP (const XprVector<E, Sz>& lhs, \ + TP rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class E, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<TP, typename E::value_type>, \ + XprLiteral< TP >, \ + XprVector<E, Sz> \ + >, \ + Sz \ +> \ +operator OP (TP lhs, \ + const XprVector<E, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + +// integer operators only, e.g used on double you wil get an error +namespace element_wise { + TVMET_DECLARE_MACRO(mod, %, int) + TVMET_DECLARE_MACRO(bitxor, ^, int) + TVMET_DECLARE_MACRO(bitand, &, int) + TVMET_DECLARE_MACRO(bitor, |, int) + TVMET_DECLARE_MACRO(shl, <<, int) + TVMET_DECLARE_MACRO(shr, >>, int) +} + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >, int) +TVMET_DECLARE_MACRO(less, <, int) +TVMET_DECLARE_MACRO(greater_eq, >=, int) +TVMET_DECLARE_MACRO(less_eq, <=, int) +TVMET_DECLARE_MACRO(eq, ==, int) +TVMET_DECLARE_MACRO(not_eq, !=, int) +TVMET_DECLARE_MACRO(and, &&, int) +TVMET_DECLARE_MACRO(or, ||, int) + + +#if defined(TVMET_HAVE_LONG_LONG) +// integer operators only +namespace element_wise { + TVMET_DECLARE_MACRO(mod, %, long long int) + TVMET_DECLARE_MACRO(bitxor, ^, long long int) + TVMET_DECLARE_MACRO(bitand, &, long long int) + TVMET_DECLARE_MACRO(bitor, |, long long int) + TVMET_DECLARE_MACRO(shl, <<, long long int) + TVMET_DECLARE_MACRO(shr, >>, long long int) +} + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >, long long int) +TVMET_DECLARE_MACRO(less, <, long long int) +TVMET_DECLARE_MACRO(greater_eq, >=, long long int) +TVMET_DECLARE_MACRO(less_eq, <=, long long int) +TVMET_DECLARE_MACRO(eq, ==, long long int) +TVMET_DECLARE_MACRO(not_eq, !=, long long int) +TVMET_DECLARE_MACRO(and, &&, long long int) +TVMET_DECLARE_MACRO(or, ||, long long int) +#endif // defined(TVMET_HAVE_LONG_LONG) + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >, float) +TVMET_DECLARE_MACRO(less, <, float) +TVMET_DECLARE_MACRO(greater_eq, >=, float) +TVMET_DECLARE_MACRO(less_eq, <=, float) +TVMET_DECLARE_MACRO(eq, ==, float) +TVMET_DECLARE_MACRO(not_eq, !=, float) + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >, double) +TVMET_DECLARE_MACRO(less, <, double) +TVMET_DECLARE_MACRO(greater_eq, >=, double) +TVMET_DECLARE_MACRO(less_eq, <=, double) +TVMET_DECLARE_MACRO(eq, ==, double) +TVMET_DECLARE_MACRO(not_eq, !=, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >, long double) +TVMET_DECLARE_MACRO(less, <, long double) +TVMET_DECLARE_MACRO(greater_eq, >=, long double) +TVMET_DECLARE_MACRO(less_eq, <=, long double) +TVMET_DECLARE_MACRO(eq, ==, long double) +TVMET_DECLARE_MACRO(not_eq, !=, long double) +#endif // defined(TVMET_HAVE_LONG_DOUBLE) + +#undef TVMET_DECLARE_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * operator(Vector<std::complex<T>, Sz>, std::complex<T>) + * operator(std::complex<T>, Vector<std::complex<T>, Sz>) + * Note: - per se element wise + * - bit ops on complex<int> doesn't make sense, stay away + * \todo type promotion + */ +#define TVMET_DECLARE_MACRO(NAME, OP) \ +template<class E, std::size_t Sz, class T> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, std::complex<T> >, \ + XprVector<E, Sz>, \ + XprLiteral< std::complex<T> > \ + >, \ + Sz \ +> \ +operator OP (const XprVector<E, Sz>& lhs, \ + const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class E, std::size_t Sz, class T> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<std::complex<T>, typename E::value_type>, \ + XprLiteral< std::complex<T> >, \ + XprVector<E, Sz> \ + >, \ + Sz \ +> \ +operator OP (const std::complex<T>& lhs, \ + const XprVector<E, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >) +TVMET_DECLARE_MACRO(less, <) +TVMET_DECLARE_MACRO(greater_eq, >=) +TVMET_DECLARE_MACRO(less_eq, <=) +TVMET_DECLARE_MACRO(eq, ==) +TVMET_DECLARE_MACRO(not_eq, !=) +TVMET_DECLARE_MACRO(and, &&) +TVMET_DECLARE_MACRO(or, ||) + +#undef TVMET_DECLARE_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * global unary operators + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * Unary Operator on XprVector<E, Sz> + */ +#define TVMET_DECLARE_MACRO(NAME, OP) \ +template <class E, std::size_t Sz> \ +inline \ +XprVector< \ + XprUnOp< \ + Fcnl_##NAME<typename E::value_type>, \ + XprVector<E, Sz> \ + >, \ + Sz \ +> \ +operator OP (const XprVector<E, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(not, !) +TVMET_DECLARE_MACRO(compl, ~) +TVMET_DECLARE_MACRO(neg, -) + +#undef TVMET_DECLARE_MACRO + + +/********************************************************* + * PART II: IMPLEMENTATION + *********************************************************/ + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Vector arithmetic operators implemented by functions + * add, sub, mul and div + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * operator(XprVector<E1, Sz>, XprVector<E2, Sz>) + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template<class E1, class E2, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \ + XprVector<E1, Sz>, \ + XprVector<E2, Sz> \ + >, \ + Sz \ +> \ +operator OP (const XprVector<E1, Sz>& lhs, \ + const XprVector<E2, Sz>& rhs) { \ + return NAME (lhs, rhs); \ +} + +TVMET_IMPLEMENT_MACRO(add, +) // per se element wise +TVMET_IMPLEMENT_MACRO(sub, -) // per se element wise +TVMET_IMPLEMENT_MACRO(mul, *) // per se element wise +namespace element_wise { + TVMET_IMPLEMENT_MACRO(div, /) // not defined for vectors +} + +#undef TVMET_IMPLEMENT_MACRO + + +/* + * operator(XprVector<E, Sz>, POD) + * operator(POD, XprVector<E, Sz>) + * Note: operations +,-,*,/ are per se element wise + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP, POD) \ +template<class E, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, POD >, \ + XprVector<E, Sz>, \ + XprLiteral< POD > \ + >, \ + Sz \ +> \ +operator OP (const XprVector<E, Sz>& lhs, POD rhs) { \ + return NAME (lhs, rhs); \ +} \ + \ +template<class E, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< POD, typename E::value_type >, \ + XprLiteral< POD >, \ + XprVector< E, Sz> \ + >, \ + Sz \ +> \ +operator OP (POD lhs, const XprVector<E, Sz>& rhs) { \ + return NAME (lhs, rhs); \ +} + +TVMET_IMPLEMENT_MACRO(add, +, int) +TVMET_IMPLEMENT_MACRO(sub, -, int) +TVMET_IMPLEMENT_MACRO(mul, *, int) +TVMET_IMPLEMENT_MACRO(div, /, int) + +#if defined(TVMET_HAVE_LONG_LONG) +TVMET_IMPLEMENT_MACRO(add, +, long long int) +TVMET_IMPLEMENT_MACRO(sub, -, long long int) +TVMET_IMPLEMENT_MACRO(mul, *, long long int) +TVMET_IMPLEMENT_MACRO(div, /, long long int) +#endif + +TVMET_IMPLEMENT_MACRO(add, +, float) +TVMET_IMPLEMENT_MACRO(sub, -, float) +TVMET_IMPLEMENT_MACRO(mul, *, float) +TVMET_IMPLEMENT_MACRO(div, /, float) + +TVMET_IMPLEMENT_MACRO(add, +, double) +TVMET_IMPLEMENT_MACRO(sub, -, double) +TVMET_IMPLEMENT_MACRO(mul, *, double) +TVMET_IMPLEMENT_MACRO(div, /, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +TVMET_IMPLEMENT_MACRO(add, +, long double) +TVMET_IMPLEMENT_MACRO(sub, -, long double) +TVMET_IMPLEMENT_MACRO(mul, *, long double) +TVMET_IMPLEMENT_MACRO(div, /, long double) +#endif + +#undef TVMET_IMPLEMENT_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * operator(XprVector<E, Sz>, complex<T>) + * operator(complex<T>, XprVector<E, Sz>) + * Note: operations +,-,*,/ are per se element wise + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template<class E, std::size_t Sz, class T> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, std::complex<T> >, \ + XprVector<E, Sz>, \ + XprLiteral< std::complex<T> > \ + >, \ + Sz \ +> \ +operator OP (const XprVector<E, Sz>& lhs, \ + const std::complex<T>& rhs) { \ + return NAME (lhs, rhs); \ +} \ + \ +template<class E, std::size_t Sz, class T> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME< std::complex<T>, typename E::value_type >, \ + XprLiteral< std::complex<T> >, \ + XprVector< E, Sz> \ + >, \ + Sz \ +> \ +operator OP (const std::complex<T>& lhs, \ + const XprVector<E, Sz>& rhs) { \ + return NAME (lhs, rhs); \ +} + +TVMET_IMPLEMENT_MACRO(add, +) // per se element wise +TVMET_IMPLEMENT_MACRO(sub, -) // per se element wise +TVMET_IMPLEMENT_MACRO(mul, *) // per se element wise +TVMET_IMPLEMENT_MACRO(div, /) // per se element wise + +#undef TVMET_IMPLEMENT_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Vector integer and compare operators + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * operator(XprVector, XprVector) + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template<class E1, class E2, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \ + XprVector<E1, Sz>, \ + XprVector<E2, Sz> \ + >, \ + Sz \ +> \ +operator OP (const XprVector<E1, Sz>& lhs, \ + const XprVector<E2, Sz>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<typename E1::value_type, typename E2::value_type>, \ + XprVector<E1, Sz>, \ + XprVector<E2, Sz> \ + > expr_type; \ + return XprVector<expr_type, Sz>(expr_type(lhs, rhs)); \ +} + +// integer operators only, e.g used on double you wil get an error +namespace element_wise { + TVMET_IMPLEMENT_MACRO(mod, %) + TVMET_IMPLEMENT_MACRO(bitxor, ^) + TVMET_IMPLEMENT_MACRO(bitand, &) + TVMET_IMPLEMENT_MACRO(bitor, |) + TVMET_IMPLEMENT_MACRO(shl, <<) + TVMET_IMPLEMENT_MACRO(shr, >>) +} + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >) +TVMET_IMPLEMENT_MACRO(less, <) +TVMET_IMPLEMENT_MACRO(greater_eq, >=) +TVMET_IMPLEMENT_MACRO(less_eq, <=) +TVMET_IMPLEMENT_MACRO(eq, ==) +TVMET_IMPLEMENT_MACRO(not_eq, !=) +TVMET_IMPLEMENT_MACRO(and, &&) +TVMET_IMPLEMENT_MACRO(or, ||) + +#undef TVMET_IMPLEMENT_MACRO + + +/* + * operator(Vector<T, Sz>, POD) + * operator(POD, Vector<T, Sz>) + * Note: operations are per se element_wise + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP, TP) \ +template<class E, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, TP >, \ + XprVector<E, Sz>, \ + XprLiteral< TP > \ + >, \ + Sz \ +> \ +operator OP (const XprVector<E, Sz>& lhs, TP rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<typename E::value_type, TP >, \ + XprVector<E, Sz>, \ + XprLiteral< TP > \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(lhs, XprLiteral< TP >(rhs))); \ +} \ + \ +template<class E, std::size_t Sz> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<TP, typename E::value_type>, \ + XprLiteral< TP >, \ + XprVector<E, Sz> \ + >, \ + Sz \ +> \ +operator OP (TP lhs, const XprVector<E, Sz>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME< TP, typename E::value_type>, \ + XprLiteral< TP >, \ + XprVector<E, Sz> \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(XprLiteral< TP >(lhs), rhs)); \ +} + +// integer operators only, e.g used on double you wil get an error +namespace element_wise { + TVMET_IMPLEMENT_MACRO(mod, %, int) + TVMET_IMPLEMENT_MACRO(bitxor, ^, int) + TVMET_IMPLEMENT_MACRO(bitand, &, int) + TVMET_IMPLEMENT_MACRO(bitor, |, int) + TVMET_IMPLEMENT_MACRO(shl, <<, int) + TVMET_IMPLEMENT_MACRO(shr, >>, int) +} + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >, int) +TVMET_IMPLEMENT_MACRO(less, <, int) +TVMET_IMPLEMENT_MACRO(greater_eq, >=, int) +TVMET_IMPLEMENT_MACRO(less_eq, <=, int) +TVMET_IMPLEMENT_MACRO(eq, ==, int) +TVMET_IMPLEMENT_MACRO(not_eq, !=, int) +TVMET_IMPLEMENT_MACRO(and, &&, int) +TVMET_IMPLEMENT_MACRO(or, ||, int) + + +#if defined(TVMET_HAVE_LONG_LONG) +// integer operators only +namespace element_wise { + TVMET_IMPLEMENT_MACRO(mod, %, long long int) + TVMET_IMPLEMENT_MACRO(bitxor, ^, long long int) + TVMET_IMPLEMENT_MACRO(bitand, &, long long int) + TVMET_IMPLEMENT_MACRO(bitor, |, long long int) + TVMET_IMPLEMENT_MACRO(shl, <<, long long int) + TVMET_IMPLEMENT_MACRO(shr, >>, long long int) +} + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >, long long int) +TVMET_IMPLEMENT_MACRO(less, <, long long int) +TVMET_IMPLEMENT_MACRO(greater_eq, >=, long long int) +TVMET_IMPLEMENT_MACRO(less_eq, <=, long long int) +TVMET_IMPLEMENT_MACRO(eq, ==, long long int) +TVMET_IMPLEMENT_MACRO(not_eq, !=, long long int) +TVMET_IMPLEMENT_MACRO(and, &&, long long int) +TVMET_IMPLEMENT_MACRO(or, ||, long long int) +#endif // defined(TVMET_HAVE_LONG_LONG) + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >, float) +TVMET_IMPLEMENT_MACRO(less, <, float) +TVMET_IMPLEMENT_MACRO(greater_eq, >=, float) +TVMET_IMPLEMENT_MACRO(less_eq, <=, float) +TVMET_IMPLEMENT_MACRO(eq, ==, float) +TVMET_IMPLEMENT_MACRO(not_eq, !=, float) + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >, double) +TVMET_IMPLEMENT_MACRO(less, <, double) +TVMET_IMPLEMENT_MACRO(greater_eq, >=, double) +TVMET_IMPLEMENT_MACRO(less_eq, <=, double) +TVMET_IMPLEMENT_MACRO(eq, ==, double) +TVMET_IMPLEMENT_MACRO(not_eq, !=, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >, long double) +TVMET_IMPLEMENT_MACRO(less, <, long double) +TVMET_IMPLEMENT_MACRO(greater_eq, >=, long double) +TVMET_IMPLEMENT_MACRO(less_eq, <=, long double) +TVMET_IMPLEMENT_MACRO(eq, ==, long double) +TVMET_IMPLEMENT_MACRO(not_eq, !=, long double) +#endif // defined(TVMET_HAVE_LONG_DOUBLE) + +#undef TVMET_IMPLEMENT_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * operator(Vector<std::complex<T>, Sz>, std::complex<T>) + * operator(std::complex<T>, Vector<std::complex<T>, Sz>) + * Note: - per se element wise + * - bit ops on complex<int> doesn't make sense, stay away + * \todo type promotion + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template<class E, std::size_t Sz, class T> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<typename E::value_type, std::complex<T> >, \ + XprVector<E, Sz>, \ + XprLiteral< std::complex<T> > \ + >, \ + Sz \ +> \ +operator OP (const XprVector<E, Sz>& lhs, \ + const std::complex<T>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<typename E::value_type, std::complex<T> >, \ + XprVector<E, Sz>, \ + XprLiteral< std::complex<T> > \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(lhs, XprLiteral< std::complex<T> >(rhs))); \ +} \ + \ +template<class E, std::size_t Sz, class T> \ +inline \ +XprVector< \ + XprBinOp< \ + Fcnl_##NAME<std::complex<T>, typename E::value_type>, \ + XprLiteral< std::complex<T> >, \ + XprVector<E, Sz> \ + >, \ + Sz \ +> \ +operator OP (const std::complex<T>& lhs, \ + const XprVector<E, Sz>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME< std::complex<T>, typename E::value_type>, \ + XprLiteral< std::complex<T> >, \ + XprVector<E, Sz> \ + > expr_type; \ + return XprVector<expr_type, Sz>( \ + expr_type(XprLiteral< std::complex<T> >(lhs), rhs)); \ +} + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >) +TVMET_IMPLEMENT_MACRO(less, <) +TVMET_IMPLEMENT_MACRO(greater_eq, >=) +TVMET_IMPLEMENT_MACRO(less_eq, <=) +TVMET_IMPLEMENT_MACRO(eq, ==) +TVMET_IMPLEMENT_MACRO(not_eq, !=) +TVMET_IMPLEMENT_MACRO(and, &&) +TVMET_IMPLEMENT_MACRO(or, ||) + +#undef TVMET_IMPLEMENT_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * global unary operators + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * Unary Operator on XprVector<E, Sz> + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template <class E, std::size_t Sz> \ +inline \ +XprVector< \ + XprUnOp< \ + Fcnl_##NAME<typename E::value_type>, \ + XprVector<E, Sz> \ + >, \ + Sz \ +> \ +operator OP (const XprVector<E, Sz>& rhs) { \ + typedef XprUnOp< \ + Fcnl_##NAME<typename E::value_type>, \ + XprVector<E, Sz> \ + > expr_type; \ + return XprVector<expr_type, Sz>(expr_type(rhs)); \ +} + +TVMET_IMPLEMENT_MACRO(not, !) +TVMET_IMPLEMENT_MACRO(compl, ~) +TVMET_IMPLEMENT_MACRO(neg, -) + +#undef TVMET_IMPLEMENT_MACRO + + +} // namespace tvmet + +#endif // TVMET_XPR_VECTOR_OPERATORS_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/xpr/VectorUnaryFunctions.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,163 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 Olaf Petzold <opetzold@users.sourceforge.net> + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * + * $Id: VectorUnaryFunctions.h,v 1.11 2007-06-23 15:59:00 opetzold Exp $ + */ + +#ifndef TVMET_XPR_VECTOR_UNARY_FUNCTIONS_H +#define TVMET_XPR_VECTOR_UNARY_FUNCTIONS_H + +namespace tvmet { + + +/********************************************************* + * PART I: DECLARATION + *********************************************************/ + +/* + * unary_function(XprVector<E, Sz>) + */ +#define TVMET_DECLARE_MACRO(NAME) \ +template<class E, std::size_t Sz> \ +inline \ +XprVector< \ + XprUnOp< \ + Fcnl_##NAME<typename E::value_type>, \ + XprVector<E, Sz> \ + >, \ + Sz \ +> \ +NAME(const XprVector<E, Sz>& rhs) TVMET_CXX_ALWAYS_INLINE; + +TVMET_DECLARE_MACRO(abs) +TVMET_DECLARE_MACRO(cbrt) +TVMET_DECLARE_MACRO(ceil) +TVMET_DECLARE_MACRO(floor) +TVMET_DECLARE_MACRO(rint) +TVMET_DECLARE_MACRO(sin) +TVMET_DECLARE_MACRO(cos) +TVMET_DECLARE_MACRO(tan) +TVMET_DECLARE_MACRO(sinh) +TVMET_DECLARE_MACRO(cosh) +TVMET_DECLARE_MACRO(tanh) +TVMET_DECLARE_MACRO(asin) +TVMET_DECLARE_MACRO(acos) +TVMET_DECLARE_MACRO(atan) +TVMET_DECLARE_MACRO(exp) +TVMET_DECLARE_MACRO(log) +TVMET_DECLARE_MACRO(log10) +TVMET_DECLARE_MACRO(sqrt) + +#if defined(TVMET_HAVE_IEEE_MATH) +TVMET_DECLARE_MACRO(asinh) +TVMET_DECLARE_MACRO(acosh) +TVMET_DECLARE_MACRO(atanh) +TVMET_DECLARE_MACRO(expm1) +TVMET_DECLARE_MACRO(log1p) +TVMET_DECLARE_MACRO(erf) +TVMET_DECLARE_MACRO(erfc) +TVMET_DECLARE_MACRO(j0) +TVMET_DECLARE_MACRO(j1) +TVMET_DECLARE_MACRO(y0) +TVMET_DECLARE_MACRO(y1) +TVMET_DECLARE_MACRO(lgamma) +/** \todo isnan etc. - default return is only an int! */ + +TVMET_DECLARE_MACRO(finite) +#endif // defined(TVMET_HAVE_IEEE_MATH) + +#undef TVMET_DECLARE_MACRO + + +/********************************************************* + * PART II: IMPLEMENTATION + *********************************************************/ + + +/* + * unary_function(XprVector<E, Sz>) + */ +#define TVMET_IMPLEMENT_MACRO(NAME) \ +template<class E, std::size_t Sz> \ +inline \ +XprVector< \ + XprUnOp< \ + Fcnl_##NAME<typename E::value_type>, \ + XprVector<E, Sz> \ + >, \ + Sz \ +> \ +NAME(const XprVector<E, Sz>& rhs) { \ + typedef XprUnOp< \ + Fcnl_##NAME<typename E::value_type>, \ + XprVector<E, Sz> \ + > expr_type; \ + return XprVector<expr_type, Sz>(expr_type(rhs)); \ +} + +TVMET_IMPLEMENT_MACRO(abs) +TVMET_IMPLEMENT_MACRO(cbrt) +TVMET_IMPLEMENT_MACRO(ceil) +TVMET_IMPLEMENT_MACRO(floor) +TVMET_IMPLEMENT_MACRO(rint) +TVMET_IMPLEMENT_MACRO(sin) +TVMET_IMPLEMENT_MACRO(cos) +TVMET_IMPLEMENT_MACRO(tan) +TVMET_IMPLEMENT_MACRO(sinh) +TVMET_IMPLEMENT_MACRO(cosh) +TVMET_IMPLEMENT_MACRO(tanh) +TVMET_IMPLEMENT_MACRO(asin) +TVMET_IMPLEMENT_MACRO(acos) +TVMET_IMPLEMENT_MACRO(atan) +TVMET_IMPLEMENT_MACRO(exp) +TVMET_IMPLEMENT_MACRO(log) +TVMET_IMPLEMENT_MACRO(log10) +TVMET_IMPLEMENT_MACRO(sqrt) + +#if defined(TVMET_HAVE_IEEE_MATH) +TVMET_IMPLEMENT_MACRO(asinh) +TVMET_IMPLEMENT_MACRO(acosh) +TVMET_IMPLEMENT_MACRO(atanh) +TVMET_IMPLEMENT_MACRO(expm1) +TVMET_IMPLEMENT_MACRO(log1p) +TVMET_IMPLEMENT_MACRO(erf) +TVMET_IMPLEMENT_MACRO(erfc) +TVMET_IMPLEMENT_MACRO(j0) +TVMET_IMPLEMENT_MACRO(j1) +TVMET_IMPLEMENT_MACRO(y0) +TVMET_IMPLEMENT_MACRO(y1) +TVMET_IMPLEMENT_MACRO(lgamma) +/** \todo isnan etc. - default return is only an int! */ + +TVMET_IMPLEMENT_MACRO(finite) +#endif // defined(TVMET_HAVE_IEEE_MATH) + +#undef TVMET_IMPLEMENT_MACRO + + + +} // namespace tvmet + +#endif // TVMET_XPR_VECTOR_FUNCTIONS_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End:
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/ui/ui.cpp Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,103 @@ + +#include "ui.h" +#include <iostream> +#include "system.h" + +UI::UI() : + tUI(printtw,this,osPriorityNormal,2048) { + newdataflags = 0; + for (int i = 0; i < NUMIDS; i++) { + idlist[i] = 0; + buffarr[i] = 0; + } + +} + +bool UI::regid(char id, unsigned int length) { + + //check if the id is already taken + if (id < NUMIDS && !idlist[id]) { + idlist[id] = length; + buffarr[id] = new float[length]; + return true; + } else + return false; +} + +bool UI::updateval(char id, float* buffer, unsigned int length) { + + //check if the id is registered, and has buffer of correct length + if (id < NUMIDS && idlist[id] == length && buffarr[id] && !(newdataflags & (1<<id))) { + for (int i = 0; i < length; i++) + buffarr[id][i] = buffer[i]; + newdataflags |= (1<<id); + return true; + } else{ + return false; + } +} + +bool UI::updateval(char id, float value) { + + //check if the id is registered, and the old value has been written + if (id < NUMIDS && idlist[id] == 1 && buffarr[id] && !(newdataflags & (1<<id))) { + buffarr[id][0] = value; + newdataflags |= (1<<id); + return true; + } else + return false; + +} + +bool UI::unregid(char id) { + if (id < NUMIDS) { + idlist[id] = 0; + if (buffarr[id]) + delete buffarr[id]; + return true; + } else + return false; +} + +void UI::printloop() { + +#ifdef UION + Thread::wait(3500); +#else + Thread::wait(osWaitForever); +#endif + + char* sync = "ABCD"; + std::cout.write(sync, 4); + //std::cout.flush(); + std::cout << std::endl; + //printf("\r\n"); + + while (1) { + + OLED3 = !OLED3; + + //send number of packets + char numtosend = 0; + for (int id = 0; id < NUMIDS; id++) + if (newdataflags & (1<<id)) + numtosend++; + + std::cout.put(numtosend); + + //send packets + for (char id = 0; id < NUMIDS; id++) { + if (newdataflags & (1<<id)) { + std::cout.put(id); + std::cout.write((char*)buffarr[id], idlist[id] * sizeof(float)); + newdataflags &= ~(1<<id); + } + } + + std::cout << std::endl; + //std::cout.flush(); + Thread::wait(200); + } + +} +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/ui/ui.h Wed Nov 07 14:37:35 2012 +0000 @@ -0,0 +1,30 @@ + +#ifndef UI_H +#define UI_H + +#include "rtos.h" + +#define NUMIDS 32 + +class UI { +public: + Thread tUI; + + UI(); + + bool regid(char id, unsigned int length); + bool updateval(char id, float* buffer, unsigned int length); + bool updateval(char id, float value); + bool unregid(char id); + +private: + Mutex printlock; + char idlist[NUMIDS]; + float* buffarr[NUMIDS]; + volatile int newdataflags; //Only works for NUMID = 32 + + void printloop(); + static void printtw(void const *arg){ ((UI*)arg)->printloop(); } +}; + +#endif //UI_H