1 | #include <stdio.h> |
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2 | #ifdef HAVE_CONFIG_H |
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3 | #include "singularconfig.h" |
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4 | #endif /* HAVE_CONFIG_H */ |
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5 | #include <kernel/mod2.h> |
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6 | |
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7 | #ifdef HAVE_SVD |
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8 | |
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9 | #include <Singular/svd_si.h> |
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10 | #include <kernel/structs.h> |
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11 | #include <kernel/polys.h> |
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12 | #include <polys/matpol.h> |
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13 | #include <Singular/lists.h> |
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14 | #include <kernel/febase.h> |
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15 | |
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16 | template class std::vector< amp::mpfr_record* >; |
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17 | |
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18 | poly p_svdInit(char *s) |
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19 | { |
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20 | poly p=pInit(); |
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21 | currRing->cf->nRead(s,&pGetCoeff(p)); |
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22 | return p; |
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23 | } |
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24 | |
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25 | /************************************************************************* |
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26 | Testing SVD decomposition subroutine |
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27 | *************************************************************************/ |
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28 | lists testsvd(matrix M) |
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29 | { |
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30 | |
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31 | const unsigned int Precision=300; |
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32 | |
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33 | int max_i=M->nrows; |
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34 | int max_j=M->ncols; |
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35 | ap::template_2d_array< amp::ampf<Precision> > a; |
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36 | int m; |
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37 | int n; |
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38 | int maxmn; |
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39 | int i; |
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40 | int j; |
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41 | int gpass; |
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42 | int pass; |
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43 | bool waserrors; |
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44 | bool wsorted; |
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45 | bool wfailed; |
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46 | amp::ampf<Precision> materr; |
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47 | amp::ampf<Precision> orterr; |
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48 | amp::ampf<Precision> othererr; |
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49 | amp::ampf<Precision> threshold; |
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50 | amp::ampf<Precision> failthreshold; |
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51 | amp::ampf<Precision> failr; |
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52 | |
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53 | |
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54 | materr = 0; |
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55 | orterr = 0; |
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56 | othererr = 0; |
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57 | wsorted = true; |
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58 | wfailed = false; |
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59 | waserrors = false; |
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60 | maxmn = 50; |
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61 | threshold = 5*100*amp::ampf<Precision>::getAlgoPascalEpsilon(); |
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62 | failthreshold = amp::ampf<Precision>("5.0E-3"); |
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63 | a.setbounds(1, max_i, 1, max_j); |
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64 | |
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65 | |
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66 | // |
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67 | // fill matrix a entries from M |
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68 | // |
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69 | for(i=1; i<=max_i; i++) |
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70 | { |
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71 | for(j=1; j<=max_j; j++) |
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72 | { |
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73 | char *str=pString(MATELEM(M,i,j)); |
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74 | Print(" to svd:%d,%d=%s\n",i,j,str); |
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75 | a(i,j) = amp::ampf<Precision>(str); |
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76 | } |
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77 | } |
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78 | //testsvdproblem<Precision>(a, max_i, max_j, materr, orterr, othererr, wsorted, wfailed); |
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79 | ap::template_2d_array< amp::ampf<Precision> > u; |
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80 | ap::template_2d_array< amp::ampf<Precision> > vt; |
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81 | ap::template_1d_array< amp::ampf<Precision> > w; |
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82 | svd::svddecomposition<Precision>(a, max_i, max_j, 2, 2, 2, w, u, vt); |
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83 | matrix Mu,Mw,Mvt; |
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84 | Mu=mpNew(max_i,max_i); |
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85 | Mw=mpNew(max_i,max_j); |
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86 | Mvt=mpNew(max_j,max_j); |
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87 | for(i=1;i<=max_i;i++) |
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88 | { |
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89 | for(j=1;j<=max_i;j++) |
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90 | { |
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91 | MATELEM(Mu,i,j)=p_svdInit(u(i,j).toString()); |
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92 | // Print(" after svd:%d,%d=%s\n",i,j,u(i,j).toString()); |
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93 | } |
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94 | } |
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95 | for(i=1;i<=si_min(max_i,max_j);i++) |
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96 | { |
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97 | MATELEM(Mw,i,i)=p_svdInit(w(i).toString()); |
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98 | //Print(" after svd:%d,%d=%s\n",i,w(i).toString()); |
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99 | } |
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100 | for(i=1;i<=max_j;i++) |
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101 | { |
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102 | for(j=1;j<=max_j;j++) |
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103 | { |
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104 | MATELEM(Mvt,i,j)=p_svdInit(vt(i,j).toString()); |
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105 | //Print(" after svd:%d,%d=%s\n",i,j,vt(i,j).toString()); |
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106 | } |
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107 | } |
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108 | lists L=(lists)omAlloc(sizeof(slists)); |
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109 | L->Init(3); |
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110 | L->m[0].rtyp=MATRIX_CMD; |
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111 | L->m[1].rtyp=MATRIX_CMD; |
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112 | L->m[2].rtyp=MATRIX_CMD; |
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113 | L->m[0].data=(char*)Mu; |
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114 | L->m[1].data=(char*)Mw; |
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115 | L->m[2].data=(char*)Mvt; |
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116 | return L; |
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117 | } |
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118 | |
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119 | #endif |
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