Added mex file to compute A*kron(B,B) or A*kron(B,C).
git-svn-id: https://www.dynare.org/svn/dynare/dynare_v4@1443 ac1d8469-bf42-47a9-8791-bf33cf982152time-shift
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// This mex file computes A*kron(B,C) or A*kron(B,B) without explicitely building kron(B,C) or kron(B,B), so that
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// one can consider large matrices B and/or C.
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//
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// (linux)SYNTAX:
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// mex AkronBC.cc /opt/matlab2007b/bin/glnx86/mkl.so
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//
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// stephane.adjemian@ens.fr [15-11-2007]
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// Dynare Team, 2007.
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#include "mex.h"
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#include "blas.h"
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void A_times_kronecker_B_B(double *A, double *B, double *D, int mA, int nA, int mB, int nB)
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{
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const int shiftA = mA*mB ;
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const int shiftD = mA*nB ;
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char transpose[2] = "N";
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double one = 1.0;
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int kd = 0 ;
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for(int col=0; col<nB; col++)
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{
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int ka = 0 ;
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for(int row=0; row<mB; row++)
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{
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dgemm(transpose, transpose, &mA, &nB, &mB, &B[mB*col+row], &A[ka], &mA, &B[0], &mB, &one, &D[kd], &mA);
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ka += shiftA;
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}
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kd += shiftD;
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}
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}
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void A_times_kronecker_B_C(double *A, double *B, double *C, double *D,
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int mA, int nA, int mB, int nB, int mC, int nC)
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{
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const int shiftA = mA*mC ;
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const int shiftD = mA*nC ;
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double one = 1.0 ;
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char transpose[2] = "N";
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int kd = 0 ;
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for(int col=0; col<nB; col++)
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{
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int ka = 0 ;
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for(int row=0; row<mB; row++)
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{
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dgemm(transpose, transpose, &mA, &nC, &mC, &B[mB*col+row], &A[ka], &mA, &C[0], &mC, &one, &D[kd], &mA);
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ka += shiftA;
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}
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kd += shiftD;
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}
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}
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void mexFunction( int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[] )
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{
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// Check input and output:
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if ( (nrhs > 3) || (nrhs <2) )
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{
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mexErrMsgTxt("Two or Three input arguments required.");
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}
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if (nlhs>1)
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{
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mexErrMsgTxt("Too many output arguments.");
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}
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// Get & Check dimensions (columns and rows):
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int mA, nA, mB, nB, mC, nC;
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mA = (int)mxGetM(prhs[0]);
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nA = (int)mxGetN(prhs[0]);
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mB = (int)mxGetM(prhs[1]);
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nB = (int)mxGetN(prhs[1]);
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if (nrhs == 3)// A*kron(B,C) is to be computed.
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{
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mC = (int)mxGetM(prhs[2]);
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nC = (int)mxGetN(prhs[2]);
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if (mB*mC != nA)
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{
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mexErrMsgTxt("Input dimension error!");
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}
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}
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else// A*kron(B,B) is to be computed.
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{
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if (mB*mB != nA)
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{
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mexErrMsgTxt("Input dimension error!");
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}
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}
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// Get input matrices:
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double *A, *B, *C;
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A = mxGetPr(prhs[0]);
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B = mxGetPr(prhs[1]);
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if (nrhs == 3)
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{
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C = mxGetPr(prhs[2]);
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}
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// Initialization of the ouput:
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double *D;
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if (nrhs == 3)
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{
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plhs[0] = mxCreateDoubleMatrix(mA,nB*nC,mxREAL);
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}
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else
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{
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plhs[0] = mxCreateDoubleMatrix(mA,nB*nB,mxREAL);
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}
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D = mxGetPr(plhs[0]);
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// Computational part:
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if (nrhs == 2)
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{
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A_times_kronecker_B_B(A, B, &D[0], mA, nA, mB, nB);
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}
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else
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{
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A_times_kronecker_B_C(A, B, C, &D[0], mA, nA, mB, nB, mC, nC);
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}
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}
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@ -1,60 +0,0 @@
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#include "mex.h"
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#include "blas.h"
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void mexFunction( int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[] )
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{
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int inc = 1;
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char tA[2] = {'N','\0'};
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double beta = 1.0;
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// Check input and output:
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if (nrhs != 3)
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{
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mexErrMsgTxt("Three input arguments required.");
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}
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else if (nlhs>1)
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{
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mexErrMsgTxt("Too many output arguments.");
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}
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// Get & Check dimensions:
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int mA, nA, mb, nb, mc, nc;
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mA = (int)mxGetM(prhs[0]);
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nA = (int)mxGetN(prhs[0]);
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mb = (int)mxGetM(prhs[1]);
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nb = (int)mxGetN(prhs[1]);
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if (nb != 1)
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{
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mexErrMsgTxt("Second argument must be a column vector.");
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}
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mc = (int)mxGetM(prhs[2]);
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nc = (int)mxGetN(prhs[1]);
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if (nc != 1)
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{
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mexErrMsgTxt("Third argument must be a column vector.");
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}
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if (mb*mc != nA)
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{
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mexErrMsgTxt("Input dimension error.");
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}
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// Get input matrices:
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double *A, *b, *c ;
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A = mxGetPr(prhs[0]);
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b = mxGetPr(prhs[1]);
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c = mxGetPr(prhs[2]);
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// Initialization of the ouput:
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double *d;
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plhs[0] = mxCreateDoubleMatrix(mA,1,mxREAL);
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d = mxGetPr(plhs[0]);
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// Computational part:
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int k = 0;
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for (int i=0; i<mb ; i++)
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{
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dgemv(tA, &mA, &mc, &b[i], &A[k], &mA, &c[0], &inc, &beta, &d[0], &inc);
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k += mc*mA;
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}
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}
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