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Seele/external/sdpa/mex/mexSedumiWrapC.cpp
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2023-01-21 18:43:21 +01:00
/*
* This file is a component of SDPA
* Copyright (C) 2004-2013 SDPA Project
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU 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, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*
* SDPA-M: 7.3
* mexsdpa.cpp
*/
#include <mex.h>
/*
* SDPA header files
*/
#include <sdpa_tool.h>
#include <sdpa_call.h>
using namespace sdpa;
extern void _main();
void sdpasolver(mxArray* At_ptr, mxArray* b_ptr, mxArray* c_ptr,
mxArray* K_ptr, mxArray* OPTION_ptr,
mxArray* x_ptr, mxArray* y_ptr,
mxArray* info_ptr)
{
time_t ltime;
time(&ltime);
char string_time[1024];
strcpy(string_time,ctime(&ltime));
string_time[strlen(string_time)-1]='\0';
SDPA sdpa;
int maxIteration = 0;
double param = 0.0;
/* mxArray pointer */
mxArray *field_ptr = NULL;
int nSymmChk = 0;
int nDimacs = 0;
/* strings for phase value */
const char *szPhase[] = {
"noINFO", "pFEAS", "dFEAS", "pdFEAS", "pdINF",
"pFEAS_dINF", "pINF_dFEAS", "pdOPT", "pUNBD", "dUNBD"};
/* output file */
char *outfile = NULL;
FILE *fp = NULL;
FILE *fpResult = NULL;
int nOutfile = 0;
mwSize mDIM;
mwSize nBLOCK;
/* temporary variables */
mwIndex k;
int size;
mwSize mwsize;
double *tmp_ptr = NULL;
char* tmpPrint = NULL;
TimeStart(SDPA_START);
TimeStart(SDPA_CONVERT_START);
/*** Set SDPA parameters by OPTIONS ***/
/* Max Iteration */
field_ptr = mxGetField(OPTION_ptr, 0, "maxIteration");
if( field_ptr != NULL ){
maxIteration = (int)mxGetScalar(field_ptr);
// mexPrintf("maxIteration = %d\n",maxIteration);
sdpa.setParameterMaxIteration(maxIteration);
}
/* epsilonStar */
field_ptr = mxGetField(OPTION_ptr, 0, "epsilonStar");
if( field_ptr != NULL ){
param = *mxGetPr(field_ptr);
sdpa.setParameterEpsilonStar(param);
}
/* lambdaStar */
field_ptr = mxGetField(OPTION_ptr, 0, "lambdaStar");
if( field_ptr != NULL ){
param = *mxGetPr(field_ptr);
sdpa.setParameterLambdaStar(param);
}
/* omegaStar */
field_ptr = mxGetField(OPTION_ptr, 0, "omegaStar");
if( field_ptr != NULL ){
param = *mxGetPr(field_ptr);
sdpa.setParameterOmegaStar(param);
}
/* lowerBound */
field_ptr = mxGetField(OPTION_ptr, 0, "lowerBound");
if( field_ptr != NULL ){
param = *mxGetPr(field_ptr);
sdpa.setParameterLowerBound(param);
}
/* upperBound */
field_ptr = mxGetField(OPTION_ptr, 0, "upperBound");
if( field_ptr != NULL ){
param = *mxGetPr(field_ptr);
sdpa.setParameterUpperBound(param);
}
/* betaStar */
field_ptr = mxGetField(OPTION_ptr, 0, "betaStar");
if( field_ptr != NULL ){
param = *mxGetPr(field_ptr);
sdpa.setParameterBetaStar(param);
}
/* betaBar */
field_ptr = mxGetField(OPTION_ptr, 0, "betaBar");
if( field_ptr != NULL ){
param = *mxGetPr(field_ptr);
sdpa.setParameterBetaBar(param);
}
/* gammaStar */
field_ptr = mxGetField(OPTION_ptr, 0, "gammaStar");
if( field_ptr != NULL ){
param = *mxGetPr(field_ptr);
sdpa.setParameterGammaStar(param);
}
/* epsilonDash */
field_ptr = mxGetField(OPTION_ptr, 0, "epsilonDash");
if( field_ptr != NULL ){
param = *mxGetPr(field_ptr);
sdpa.setParameterEpsilonDash(param);
}
/* xPrint */
field_ptr = mxGetField(OPTION_ptr, 0, "xPrint");
if( field_ptr != NULL ){
mwsize = mxGetM(field_ptr) * mxGetN(field_ptr) + 1;
tmpPrint = (char*)mxCalloc(mwsize, sizeof(char));
mxGetString(field_ptr, tmpPrint, mwsize);
sdpa.setParameterPrintXVec(tmpPrint);
mxFree(tmpPrint);
}
/* XPrint */
field_ptr = mxGetField(OPTION_ptr, 0, "XPrint");
if( field_ptr != NULL ){
mwsize = mxGetM(field_ptr) * mxGetN(field_ptr) + 1;
tmpPrint = (char*)mxCalloc(mwsize, sizeof(char));
mxGetString(field_ptr, tmpPrint, mwsize);
sdpa.setParameterPrintXMat(tmpPrint);
mxFree(tmpPrint);
}
/* YPrint */
field_ptr = mxGetField(OPTION_ptr, 0, "YPrint");
if( field_ptr != NULL ){
mwsize = mxGetM(field_ptr) * mxGetN(field_ptr) + 1;
tmpPrint = (char*)mxCalloc(mwsize, sizeof(char));
mxGetString(field_ptr, tmpPrint, mwsize);
sdpa.setParameterPrintYMat(tmpPrint);
mxFree(tmpPrint);
}
/* infPrint */
field_ptr = mxGetField(OPTION_ptr, 0, "infPrint");
if( field_ptr != NULL ){
mwsize = mxGetM(field_ptr) * mxGetN(field_ptr) + 1;
tmpPrint = (char*)mxCalloc(mwsize, sizeof(char));
mxGetString(field_ptr, tmpPrint, mwsize);
sdpa.setParameterPrintInformation(tmpPrint);
mxFree(tmpPrint);
}
/* isSymmetric */
field_ptr = mxGetField(OPTION_ptr, 0, "isSymmetric");
if( field_ptr != NULL ){
nSymmChk = (int)mxGetScalar(field_ptr);
}
/* isDimacs */
field_ptr = mxGetField(OPTION_ptr, 0, "isDimacs");
if( field_ptr != NULL ){
nDimacs = (int)mxGetScalar(field_ptr);
}
/* print */
field_ptr = mxGetField(OPTION_ptr, 0, "print");
if( field_ptr != NULL ){
mwsize = mxGetM(field_ptr) * mxGetN(field_ptr) + 1;
if (mwsize == 1) {
// mexPrintf("display is NULL\n");
fp = NULL;
}
else {
outfile = (char*)mxCalloc(mwsize, sizeof(char));
mxGetString(field_ptr, outfile, mwsize);
if( strncmp("display", outfile, mwsize - 1) == 0 ){
fp = stdout;
} else if( strncmp("no", outfile, mwsize - 1) == 0 ){
fp = NULL;
} else {
fp = fopen(outfile, "at");
if( fp == NULL ){
mexPrintf("Failed to open %s\n", outfile);
fp = stdout;
} else {
nOutfile = 1;
}
}
mxFree(outfile);
}
} else {
/* default setting is displaying information to stdout */
fp = stdout;
}
sdpa.setDisplay(fp);
/* resultFile */
field_ptr = mxGetField(OPTION_ptr, 0, "resultFile");
if( field_ptr != NULL ){
mwsize = mxGetM(field_ptr) * mxGetN(field_ptr) + 1;
if (mwsize == 1) {
// mexPrintf("resultFile is NULL\n");
}
else {
outfile = (char*)mxCalloc(mwsize, sizeof(char));
mxGetString(field_ptr, outfile, mwsize);
if ( strncmp("no", outfile, mwsize - 1) == 0 ) {
mexPrintf("resultFile is NULL\n");
}
else {
fpResult = fopen(outfile, "w");
if ( fpResult == NULL ) {
mexPrintf("Failed to open %s\n", outfile);
mexPrintf("Skip the detail file\n");
} else {
sdpa.setResultFile(fpResult);
}
}
mxFree(outfile);
}
}
if (fp) {
fprintf(fp,"SDPA-C start at [%s]\n",string_time);
}
if (fpResult) {
fprintf(fpResult,"SDPA-C start at [%s]\n",string_time);
}
if (nDimacs != 0) {
if (sdpa.judgeDimacsAvailability() == false) {
if (fp) {
fprintf(fp, "Dimacs will be skipped by XPrint and YPrint parameter.\n");
}
if (fpResult) {
fprintf(fpResult, "Dimacs will be skipped by XPrint and YPrint parameter.\n");
}
nDimacs = 0;
}
}
/* NumThreads */
field_ptr = mxGetField(OPTION_ptr, 0, "NumThreads");
if( field_ptr != NULL ){
sdpa.setNumThreads((int)mxGetScalar(field_ptr));
}
/*** initialize SDPA class members ***/
/* mDIM */
mDIM = mxGetN(At_ptr);
sdpa.inputConstraintNumber(mDIM);
/* nBLOCK */
nBLOCK = 0;
mwSize K_l = 0;
int isK_l = 0; // 1 (K_l > 0) or 0 (K_l == 0)
field_ptr = mxGetField(K_ptr, 0, "l");
if (field_ptr != NULL) {
K_l = (mwSize)((mxGetPr(field_ptr))[0]);
#if 0
mexPrintf("K_l = %zd\n", K_l);
#endif
if (K_l > 0) {
isK_l = 1;
nBLOCK++;
}
}
mwSize* K_s = NULL;
mwSize* K_sdpConeStart = NULL;
int K_sdpNoCones = 0;
field_ptr = mxGetField(K_ptr, 0, "s");
if (field_ptr != NULL) {
K_sdpNoCones = (int) mxGetM(field_ptr);
K_s = (mwSize*) mxCalloc(K_sdpNoCones, sizeof(mwSize));
K_sdpConeStart = (mwSize*) mxCalloc(K_sdpNoCones+1, sizeof(mwSize));
K_sdpConeStart[0] = 0;
for (int l=0; l<K_sdpNoCones; ++l) {
K_s[l] = (mwSize)((mxGetPr(field_ptr))[l]);
#if 0
mexPrintf("K_s[%zd] = %zd\n", l+isK_l+1, K_s[l]);
#endif
K_sdpConeStart[l+1] = K_sdpConeStart[l] + K_s[l]*K_s[l];
nBLOCK++;
}
}
#if 0
mexPrintf("isK_l = %d, nBlock = %d \n", isK_l, nBLOCK);
#endif
sdpa.inputBlockNumber(nBLOCK);
if (isK_l > 0) {
sdpa.inputBlockSize(1, K_l);
sdpa.inputBlockType(1, SDPA::LP);
}
for (int l=0; l<K_sdpNoCones; ++l) {
#if 0
mexPrintf("l+isK_l+1 = %d, K_s = %d \n", l+isK_l+1, K_s[l]);
#endif
sdpa.inputBlockSize(l+isK_l+1, K_s[l]);
sdpa.inputBlockType(l+isK_l+1, SDPA::SDP);
}
/* Execute initializeUpperTriangleSpace() */
sdpa.initializeUpperTriangleSpace();
/* cVECT = -b*/
double* b = mxGetPr(b_ptr);
for(mwSize i = 0; i < mDIM; i++){
sdpa.inputCVec((int)i+1, -b[i]);
}
/*** Count NonZeroNumber in coefficience matrices ***/
// Do nothing for SDPA 7
/* F_0 = - C */
if (mxIsEmpty(c_ptr) || mxGetNzmax(c_ptr) == 0
|| (mxGetJc(c_ptr))[1] == 0) {
mexPrintf("c = empty\n");
}
else {
mwIndex* C_row = mxGetIr(c_ptr);
mwIndex* C_column = mxGetJc(c_ptr);
double* C_ele = mxGetPr(c_ptr);
mwIndex C_length = C_column[1];
int currentSdpCone = 0;
for (mwSize index = 0; index<C_length; ++index) {
mwSize C_j = C_row[index];
/* A_0 = - C */
double ele = -C_ele[index];
// mexPrintf("C_j = %zd, ele = %e\n", C_j, ele);
if (C_j < K_l) {
sdpa.inputElement(0, 1, C_j+1, C_j+1, ele);
}
else {
C_j -= K_l;
while (K_sdpConeStart[currentSdpCone+1] <= C_j) {
currentSdpCone++;
}
int index2, i,j;
index2 = C_j - K_sdpConeStart[currentSdpCone];
i = index2 / K_s[currentSdpCone];
j = index2 % K_s[currentSdpCone];
if (i <= j) {
// Only upper triangular is input
#if 0
mexPrintf("input k=%d, l=%d, i=%d, j=%d, v=%e\n",
0, isK_l + currentSdpCone+1,i+1, j+1, ele);
#endif
sdpa.inputElement(0, isK_l + currentSdpCone+1,i+1, j+1, ele);
}
}
}
}
/* F_{k+1} = - A_k */
mwIndex* At_row = mxGetIr(At_ptr);
mwIndex* At_column = mxGetJc(At_ptr);
double* At_ele = mxGetPr(At_ptr);
for (k=0; k<mDIM; ++k) {
mwIndex Ak_start = At_column[k ];
mwIndex Ak_end = At_column[k+1];
int currentSdpCone = 0;
for (mwSize index = Ak_start; index<Ak_end; ++index) {
mwSize Ak_j = At_row[index];
/* F_{k+1} = - A_k */
double ele = -At_ele[index];
if (Ak_j < K_l) {
sdpa.inputElement(k+1, 1, Ak_j+1, Ak_j+1, ele);
}
else {
Ak_j -= K_l;
while (K_sdpConeStart[currentSdpCone+1] <= Ak_j) {
currentSdpCone++;
}
int index2, i,j;
index2 = Ak_j - K_sdpConeStart[currentSdpCone];
i = index2 / K_s[currentSdpCone];
j = index2 % K_s[currentSdpCone];
if (i <= j) {
// Only upper triangular is input
#if 0
mexPrintf("input k=%d, l=%d, i=%d, j=%d, v=%e\n",
k+1, isK_l + currentSdpCone+1,i+1, j+1, ele);
#endif
sdpa.inputElement(k+1, isK_l + currentSdpCone+1,i+1, j+1, ele);
}
}
}
}
/*** Check the consistence of F, c ***/
if( nSymmChk ){
sdpa.initializeUpperTriangle(true);
}
else {
sdpa.initializeUpperTriangle(false);
}
// sdpa.writeInputSparse((char*)"b.dat-s",(char*)"%e");
/*** Solve SDP ***/
sdpa.initializeSolve();
mexPrintf("Converted to SDPA internal data / ");
mexPrintf("Starting SDPA-C main loop\n");
TimeEnd(SDPA_CONVERT_END);
TimeStart(SDPA_SOLVE_START);
sdpa.solve();
TimeEnd(SDPA_SOLVE_END);
TimeStart(SDPA_RETRIEVE_START);
mexPrintf("Converting optimal solution to Sedumi format\n");
/**** Set output values to arguments ****/
/* Optimal value for xVec */
double* y = mxGetPr(y_ptr);
tmp_ptr = sdpa.getResultXVec();
if( tmp_ptr != NULL ){
for(k = 0; k < mDIM; k++){
y[k] = tmp_ptr[k];
}
}
/* Optimal value for YMat */
double* x = mxGetPr(x_ptr);
// if sdpa.getResultYMat(1) == NULL, YMat is not computed
if (sdpa.getResultYMat(1) != NULL) {
if (isK_l > 0) {
size = sdpa.getBlockSize(1);
tmp_ptr = sdpa.getResultYMat(1);
for (int index = 0; index < size; ++index) {
x[index] = tmp_ptr[index];
}
}
for (int l=0; l<K_sdpNoCones; ++l) {
size = sdpa.getBlockSize(l+isK_l+1);
tmp_ptr = sdpa.getResultYMat(l+isK_l+1);
for (int index = 0; index < size*size; ++index) {
x[K_l + K_sdpConeStart[l] + index] = tmp_ptr[index];
}
}
}
else {
rMessage("x is not computed by YPrint, and x will be empty matrix.");
}
TimeEnd(SDPA_RETRIEVE_END);
/* Dimacs Error Information */
if (nDimacs != 0) {
field_ptr = mxCreateNumericMatrix(6,1,mxDOUBLE_CLASS,mxREAL);
double* dimacs_store = mxGetPr(field_ptr);
double dimacs_error[7];
if (sdpa.judgeDimacsAvailability() == false) {
for (int i=0; i<=6; i++) {
dimacs_store[i] = 0.0;
}
}
else {
mexPrintf("Computing Dimacs Error\n");
sdpa.getDimacsError(dimacs_error);
for (int i=1; i<=6; i++) {
dimacs_store[i-1] = dimacs_error[i];
}
}
mxSetField(info_ptr, 0, "dimacs", field_ptr);
}
/* Phase information */
field_ptr = mxCreateString(szPhase[sdpa.getPhaseValue()]);
mxSetField(info_ptr, 0, "phasevalue", field_ptr);
/* Iteration */
field_ptr = mxCreateNumericMatrix(1,1,mxDOUBLE_CLASS,mxREAL);
*mxGetPr(field_ptr) = (double)sdpa.getIteration();
mxSetField(info_ptr, 0, "iteration", field_ptr);
/* primalObj */
field_ptr = mxCreateNumericMatrix(1,1,mxDOUBLE_CLASS,mxREAL);
*mxGetPr(field_ptr) = -sdpa.getDualObj();
mxSetField(info_ptr, 0, "primalObj", field_ptr);
/* dualObj */
field_ptr = mxCreateNumericMatrix(1,1,mxDOUBLE_CLASS,mxREAL);
*mxGetPr(field_ptr) = -sdpa.getPrimalObj();
mxSetField(info_ptr, 0, "dualObj", field_ptr);
/* primalError */
field_ptr = mxCreateNumericMatrix(1,1,mxDOUBLE_CLASS,mxREAL);
*mxGetPr(field_ptr) = sdpa.getDualError();
mxSetField(info_ptr, 0, "primalError", field_ptr);
/* dualError */
field_ptr = mxCreateNumericMatrix(1,1,mxDOUBLE_CLASS,mxREAL);
*mxGetPr(field_ptr) = sdpa.getPrimalError();
mxSetField(info_ptr, 0, "dualError", field_ptr);
/* digits */
field_ptr = mxCreateNumericMatrix(1,1,mxDOUBLE_CLASS,mxREAL);
*mxGetPr(field_ptr) = sdpa.getDigits();
mxSetField(info_ptr, 0, "digits", field_ptr);
/* dualityGap */
field_ptr = mxCreateNumericMatrix(1,1,mxDOUBLE_CLASS,mxREAL);
*mxGetPr(field_ptr) = sdpa.getDualityGap();
mxSetField(info_ptr, 0, "dualityGap", field_ptr);
/* mu */
field_ptr = mxCreateNumericMatrix(1,1,mxDOUBLE_CLASS,mxREAL);
*mxGetPr(field_ptr) = sdpa.getMu();
mxSetField(info_ptr, 0, "mu", field_ptr);
/* solveTime */
field_ptr = mxCreateNumericMatrix(1,1,mxDOUBLE_CLASS,mxREAL);
*mxGetPr(field_ptr) = TimeCal(SDPA_SOLVE_START,SDPA_SOLVE_END);
mxSetField(info_ptr, 0, "solveTime", field_ptr);
/* convertingTime */
field_ptr = mxCreateNumericMatrix(1,1,mxDOUBLE_CLASS,mxREAL);
*mxGetPr(field_ptr) = TimeCal(SDPA_CONVERT_START,SDPA_CONVERT_END);
mxSetField(info_ptr, 0, "convertingTime", field_ptr);
/* retrivingTime */
field_ptr = mxCreateNumericMatrix(1,1,mxDOUBLE_CLASS,mxREAL);
*mxGetPr(field_ptr) = TimeCal(SDPA_RETRIEVE_START,SDPA_RETRIEVE_END);
mxSetField(info_ptr, 0, "retrievingTime", field_ptr);
/* retrivingTime */
field_ptr = mxCreateNumericMatrix(1,1,mxDOUBLE_CLASS,mxREAL);
TimeEnd(SDPA_END);
*mxGetPr(field_ptr) = TimeCal(SDPA_START,SDPA_END);
mxSetField(info_ptr, 0, "sdpaTime", field_ptr);
time(&ltime);
strcpy(string_time,ctime(&ltime));
string_time[strlen(string_time)-1]='\0';
if (fp) {
fprintf(fp,"SDPA-C end at [%s]\n",string_time);
}
if (fpResult) {
fprintf(fpResult,"SDPA-C end at [%s]\n",string_time);
}
/* close output file */
if( nOutfile ){
fclose(fp);
}
if (fpResult != NULL) {
fclose(fpResult);
}
/*** Free allocated memory ****/
mxFree(K_s);
mxFree(K_sdpConeStart);
sdpa.finalize();
return;
}
/*
* Matlab gateway function
*/
void mexFunction(int nlhs, mxArray *plhs[],
int nrhs, const mxArray *prhs[])
{
/* Decleration of variables */
mxArray* At_ptr;
mxArray* b_ptr;
mxArray* c_ptr;
mxArray* K_ptr;
mxArray* OPTION_ptr;
mxArray* x_ptr;
mxArray* y_ptr;
mxArray* info_ptr;
const char *fnames[] = {
"phasevalue",
"iteration",
"cpusec",
"primalObj",
"dualObj",
"primalError",
"dualError",
"digits",
"dualityGap",
"mu",
"dimacs",
"solveTime",
"convertingTime",
"retrievingTime",
"sdpaTime"
};
/* Get the pointer of input variables */
At_ptr = (mxArray*)prhs[0];
b_ptr = (mxArray*)prhs[1];
c_ptr = (mxArray*)prhs[2];
K_ptr = (mxArray*)prhs[3];
OPTION_ptr = (mxArray*)prhs[4];
mwSize m = mxGetM(b_ptr);
mwSize n = mxGetM(c_ptr);
mxArray *field_ptr = NULL;
field_ptr = mxGetField(OPTION_ptr, 0, "YPrint");
bool x_ptr_empty = false;
if( field_ptr != NULL ){
mwSize mwsize = mxGetM(field_ptr) * mxGetN(field_ptr) + 1;
char* tmpPrint = (char*)mxCalloc(mwsize, sizeof(char));
mxGetString(field_ptr, tmpPrint, mwsize);
#if 0
rMessage("tmpPrint = " << tmpPrint
<< " : NO_P_FORMAT " << NO_P_FORMAT);
#endif
if (strcmp(tmpPrint,NO_P_FORMAT) == 0) {
x_ptr_empty = true;
}
mxFree(tmpPrint);
}
/* Create cellarrays for the output variables */
if (x_ptr_empty == true) {
rMessage("x is not computed by YPrint, and x will be empty matrix.");
plhs[0] = mxCreateDoubleMatrix(0,0,mxREAL);
}
else {
plhs[0] = mxCreateDoubleMatrix(n,1,mxREAL);
}
plhs[1] = mxCreateDoubleMatrix(m,1,mxREAL);
plhs[2] = mxCreateStructMatrix(1,1,15,fnames);
//Get the pointer of output variables
x_ptr = plhs[0];
y_ptr = plhs[1];
info_ptr = plhs[2];
/* Call sdpasolver here */
sdpasolver(At_ptr,b_ptr,c_ptr,K_ptr,OPTION_ptr,
x_ptr,y_ptr,info_ptr);
return;
}
/*
* End of File
*/