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-rwxr-xr-xSD-VBS/common/toolbox/MultiNcut/mex_projection_QR_symmetric.c83
1 files changed, 83 insertions, 0 deletions
diff --git a/SD-VBS/common/toolbox/MultiNcut/mex_projection_QR_symmetric.c b/SD-VBS/common/toolbox/MultiNcut/mex_projection_QR_symmetric.c
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1/*================================================================
2* mex_projection_QR_symmetric.c = used by quickNcutHardBiais.m in eigensolver.
3* mex_projection_QR_symmetric(X,P,Ubar,R) == (eye(length(P))-Ubar*(R'*R)^{-1}*Ubar') * P * (eye(length(P))-Ubar*(R'*R)^{-1}*Ubar') * X ;
4* (R'*R)^{-1} is solved by solving a triangular system
5
6* P, Ubar, R are sparse, but X is full
7
8* R is upper triangular
9* P is symmetric
10
11% test sequence:
12
13*=================================================================*/
14
15# include "math.h"
16# include "mex.h"
17# include "a_times_b_cmplx.c"
18/*# include "a_times_b.c"*/
19
20void mexFunction(
21 int nargout,
22 mxArray *out[],
23 int nargin,
24 const mxArray *in[]
25)
26{
27 int *ir[4], *jc[4], m[4], n[4];
28 double *y, *y1,*y2,*y3,*y4,*y5,*y6, *pr[4];
29 double *y2bis, *y5bis;
30 int k;
31
32 for (k=0; k<4; k++) {
33 m[k] = mxGetM(in[k]);
34 n[k] = mxGetN(in[k]);
35 pr[k] = mxGetPr(in[k]);
36 if (k>0) {
37 ir[k] = mxGetIr(in[k]);
38 jc[k] = mxGetJc(in[k]);
39 }
40 }
41
42 out[0] = mxCreateDoubleMatrix(m[1],1,mxREAL);
43 y = mxGetPr(out[0]);
44
45
46 y1 = mxCalloc(n[2], sizeof(double));
47 y2 = mxCalloc(m[3], sizeof(double));
48 y2bis = mxCalloc(m[3], sizeof(double));
49 y3 = mxCalloc(m[1], sizeof(double));
50 y4 = mxCalloc(m[1], sizeof(double));
51 y5 = mxCalloc(n[2], sizeof(double));
52 y5bis = mxCalloc(n[2], sizeof(double));
53 y6 = mxCalloc(n[2], sizeof(double));
54
55 CSR_VecMult_CAB_double(m[2],n[2],pr[2],ir[2],jc[2],pr[0],y1);
56 CSR_VecTriangSlvLD_CAB_double(m[3],pr[3],ir[3],jc[3],y1,y2bis);
57 CSC_VecTriangSlvUD_CAB_double(m[3],pr[3],ir[3],jc[3],y2bis,y2);
58 for(k=0;k<m[1];k++) {
59 y3[k]=pr[0][k];
60 }
61 CSC_VecMult_CaABC_double(m[2],n[2],-1,pr[2],ir[2],jc[2],y2,y3);
62
63 CSRsymm_VecMult_CAB_double(m[1],n[1],pr[1],ir[1],jc[1],y3,y4);
64
65 CSR_VecMult_CAB_double(m[2],n[2],pr[2],ir[2],jc[2],y4,y5);
66
67 CSR_VecTriangSlvLD_CAB_double(m[3],pr[3],ir[3],jc[3],y5,y5bis);
68 CSC_VecTriangSlvUD_CAB_double(m[3],pr[3],ir[3],jc[3],y5bis,y6);
69 for(k=0;k<m[1];k++) {
70 y[k]=y4[k];
71 }
72 CSC_VecMult_CaABC_double(m[2],n[2],-1,pr[2],ir[2],jc[2],y6,y);
73
74
75 mxFree(y1);
76 mxFree(y2);
77 mxFree(y2bis);
78 mxFree(y3);
79 mxFree(y4);
80 mxFree(y5);
81 mxFree(y5bis);
82 mxFree(y6);
83}