| Line | Branch | Exec | Source |
|---|---|---|---|
| 1 | /* | ||
| 2 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 3 | SLEPc - Scalable Library for Eigenvalue Problem Computations | ||
| 4 | Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain | ||
| 5 | |||
| 6 | This file is part of SLEPc. | ||
| 7 | SLEPc is distributed under a 2-clause BSD license (see LICENSE). | ||
| 8 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 9 | */ | ||
| 10 | /* | ||
| 11 | Rational function r(x) = p(x)/q(x), where p(x) and q(x) are polynomials | ||
| 12 | */ | ||
| 13 | |||
| 14 | #include <slepc/private/fnimpl.h> /*I "slepcfn.h" I*/ | ||
| 15 | |||
| 16 | typedef struct { | ||
| 17 | PetscScalar *pcoeff; /* numerator coefficients */ | ||
| 18 | PetscInt np; /* length of array pcoeff, p(x) has degree np-1 */ | ||
| 19 | PetscScalar *qcoeff; /* denominator coefficients */ | ||
| 20 | PetscInt nq; /* length of array qcoeff, q(x) has degree nq-1 */ | ||
| 21 | } FN_RATIONAL; | ||
| 22 | |||
| 23 | 93511 | static PetscErrorCode FNEvaluateFunction_Rational(FN fn,PetscScalar x,PetscScalar *y) | |
| 24 | { | ||
| 25 | 93511 | FN_RATIONAL *ctx = (FN_RATIONAL*)fn->data; | |
| 26 | 93511 | PetscInt i; | |
| 27 | 93511 | PetscScalar p,q; | |
| 28 | |||
| 29 |
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93511 | PetscFunctionBegin; |
| 30 |
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93511 | if (!ctx->np) p = 1.0; |
| 31 | else { | ||
| 32 | 93495 | p = ctx->pcoeff[0]; | |
| 33 |
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152124 | for (i=1;i<ctx->np;i++) |
| 34 | 58629 | p = ctx->pcoeff[i]+x*p; | |
| 35 | } | ||
| 36 |
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93511 | if (!ctx->nq) *y = p; |
| 37 | else { | ||
| 38 | 12067 | q = ctx->qcoeff[0]; | |
| 39 |
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25038 | for (i=1;i<ctx->nq;i++) |
| 40 | 12971 | q = ctx->qcoeff[i]+x*q; | |
| 41 |
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12067 | PetscCheck(q!=0.0,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Function not defined in the requested value"); |
| 42 | 12067 | *y = p/q; | |
| 43 | } | ||
| 44 |
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18536 | PetscFunctionReturn(PETSC_SUCCESS); |
| 45 | } | ||
| 46 | |||
| 47 | /* | ||
| 48 | Horner evaluation of P=p(A) | ||
| 49 | d = degree of polynomial; coeff = coefficients of polynomial; W = workspace | ||
| 50 | */ | ||
| 51 | 15505 | static PetscErrorCode EvaluatePoly(Mat A,Mat P,Mat W,PetscInt d,PetscScalar *coeff) | |
| 52 | { | ||
| 53 | 15505 | PetscInt j; | |
| 54 | |||
| 55 |
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15505 | PetscFunctionBegin; |
| 56 |
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15505 | PetscCall(MatZeroEntries(P)); |
| 57 |
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15505 | if (!d) PetscCall(MatShift(P,1.0)); |
| 58 | else { | ||
| 59 |
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15505 | PetscCall(MatShift(P,coeff[0])); |
| 60 |
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26264 | for (j=1;j<d;j++) { |
| 61 |
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10759 | PetscCall(MatMatMult(P,A,MAT_REUSE_MATRIX,PETSC_DEFAULT,&W)); |
| 62 |
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10759 | PetscCall(MatCopy(W,P,SAME_NONZERO_PATTERN)); |
| 63 |
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10759 | PetscCall(MatShift(P,coeff[j])); |
| 64 | } | ||
| 65 | } | ||
| 66 |
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3058 | PetscFunctionReturn(PETSC_SUCCESS); |
| 67 | } | ||
| 68 | |||
| 69 | 12667 | static PetscErrorCode FNEvaluateFunctionMat_Rational(FN fn,Mat A,Mat B) | |
| 70 | { | ||
| 71 | 12667 | FN_RATIONAL *ctx = (FN_RATIONAL*)fn->data; | |
| 72 | 12667 | Mat P,Q,W,F; | |
| 73 | 12667 | PetscBool iscuda; | |
| 74 | |||
| 75 |
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12667 | PetscFunctionBegin; |
| 76 |
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12667 | if (A==B) PetscCall(MatDuplicate(A,MAT_DO_NOT_COPY_VALUES,&P)); |
| 77 | 12639 | else P = B; | |
| 78 |
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12667 | PetscCall(MatDuplicate(A,MAT_DO_NOT_COPY_VALUES,&W)); |
| 79 | |||
| 80 |
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12667 | PetscCall(EvaluatePoly(A,P,W,ctx->np,ctx->pcoeff)); |
| 81 |
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12667 | if (ctx->nq) { |
| 82 |
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2554 | PetscCall(MatDuplicate(A,MAT_DO_NOT_COPY_VALUES,&Q)); |
| 83 |
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2554 | PetscCall(EvaluatePoly(A,Q,W,ctx->nq,ctx->qcoeff)); |
| 84 |
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2554 | PetscCall(PetscObjectTypeCompare((PetscObject)A,MATSEQDENSECUDA,&iscuda)); |
| 85 |
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5084 | PetscCall(MatGetFactor(Q,iscuda?MATSOLVERCUDA:MATSOLVERPETSC,MAT_FACTOR_LU,&F)); |
| 86 |
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2554 | PetscCall(MatLUFactorSymbolic(F,Q,NULL,NULL,NULL)); |
| 87 |
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2554 | PetscCall(MatLUFactorNumeric(F,Q,NULL)); |
| 88 |
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2554 | PetscCall(MatMatSolve(F,P,P)); |
| 89 |
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2554 | PetscCall(MatDestroy(&F)); |
| 90 |
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2554 | PetscCall(MatDestroy(&Q)); |
| 91 | } | ||
| 92 | |||
| 93 |
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12667 | if (A==B) { |
| 94 |
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28 | PetscCall(MatCopy(P,B,SAME_NONZERO_PATTERN)); |
| 95 |
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28 | PetscCall(MatDestroy(&P)); |
| 96 | } | ||
| 97 |
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12667 | PetscCall(MatDestroy(&W)); |
| 98 |
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2500 | PetscFunctionReturn(PETSC_SUCCESS); |
| 99 | } | ||
| 100 | |||
| 101 | 256 | static PetscErrorCode FNEvaluateFunctionMatVec_Rational(FN fn,Mat A,Vec v) | |
| 102 | { | ||
| 103 | 256 | FN_RATIONAL *ctx = (FN_RATIONAL*)fn->data; | |
| 104 | 256 | Mat P,Q,W,F; | |
| 105 | 256 | Vec b; | |
| 106 | 256 | PetscBool iscuda; | |
| 107 | |||
| 108 |
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256 | PetscFunctionBegin; |
| 109 |
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256 | PetscCall(MatDuplicate(A,MAT_DO_NOT_COPY_VALUES,&P)); |
| 110 |
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256 | PetscCall(MatDuplicate(A,MAT_DO_NOT_COPY_VALUES,&W)); |
| 111 | |||
| 112 |
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256 | PetscCall(EvaluatePoly(A,P,W,ctx->np,ctx->pcoeff)); |
| 113 |
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256 | if (ctx->nq) { |
| 114 |
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28 | PetscCall(MatDuplicate(A,MAT_DO_NOT_COPY_VALUES,&Q)); |
| 115 |
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28 | PetscCall(EvaluatePoly(A,Q,W,ctx->nq,ctx->qcoeff)); |
| 116 |
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28 | PetscCall(PetscObjectTypeCompare((PetscObject)A,MATSEQDENSECUDA,&iscuda)); |
| 117 |
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48 | PetscCall(MatGetFactor(Q,iscuda?MATSOLVERCUDA:MATSOLVERPETSC,MAT_FACTOR_LU,&F)); |
| 118 |
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28 | PetscCall(MatLUFactorSymbolic(F,Q,NULL,NULL,NULL)); |
| 119 |
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28 | PetscCall(MatLUFactorNumeric(F,Q,NULL)); |
| 120 |
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28 | PetscCall(MatCreateVecs(P,&b,NULL)); |
| 121 |
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28 | PetscCall(MatGetColumnVector(P,b,0)); |
| 122 |
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28 | PetscCall(MatSolve(F,b,v)); |
| 123 |
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28 | PetscCall(VecDestroy(&b)); |
| 124 |
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28 | PetscCall(MatDestroy(&F)); |
| 125 |
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28 | PetscCall(MatDestroy(&Q)); |
| 126 |
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228 | } else PetscCall(MatGetColumnVector(P,v,0)); |
| 127 | |||
| 128 |
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256 | PetscCall(MatDestroy(&P)); |
| 129 |
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256 | PetscCall(MatDestroy(&W)); |
| 130 |
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48 | PetscFunctionReturn(PETSC_SUCCESS); |
| 131 | } | ||
| 132 | |||
| 133 | 33870 | static PetscErrorCode FNEvaluateDerivative_Rational(FN fn,PetscScalar x,PetscScalar *yp) | |
| 134 | { | ||
| 135 | 33870 | FN_RATIONAL *ctx = (FN_RATIONAL*)fn->data; | |
| 136 | 33870 | PetscInt i; | |
| 137 | 33870 | PetscScalar p,q,pp,qp; | |
| 138 | |||
| 139 |
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33870 | PetscFunctionBegin; |
| 140 |
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33870 | if (!ctx->np) { |
| 141 | p = 1.0; | ||
| 142 | pp = 0.0; | ||
| 143 | } else { | ||
| 144 | 33854 | p = ctx->pcoeff[0]; | |
| 145 | 33854 | pp = 0.0; | |
| 146 |
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54432 | for (i=1;i<ctx->np;i++) { |
| 147 | 20578 | pp = p+x*pp; | |
| 148 | 20578 | p = ctx->pcoeff[i]+x*p; | |
| 149 | } | ||
| 150 | } | ||
| 151 |
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33870 | if (!ctx->nq) *yp = pp; |
| 152 | else { | ||
| 153 | 4423 | q = ctx->qcoeff[0]; | |
| 154 | 4423 | qp = 0.0; | |
| 155 |
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8902 | for (i=1;i<ctx->nq;i++) { |
| 156 | 4479 | qp = q+x*qp; | |
| 157 | 4479 | q = ctx->qcoeff[i]+x*q; | |
| 158 | } | ||
| 159 |
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4423 | PetscCheck(q!=0.0,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Derivative not defined in the requested value"); |
| 160 | 4423 | *yp = (pp*q-p*qp)/(q*q); | |
| 161 | } | ||
| 162 |
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6607 | PetscFunctionReturn(PETSC_SUCCESS); |
| 163 | } | ||
| 164 | |||
| 165 | 240 | static PetscErrorCode FNView_Rational(FN fn,PetscViewer viewer) | |
| 166 | { | ||
| 167 | 240 | FN_RATIONAL *ctx = (FN_RATIONAL*)fn->data; | |
| 168 | 240 | PetscBool isascii; | |
| 169 | 240 | PetscInt i; | |
| 170 | 240 | char str[50]; | |
| 171 | |||
| 172 |
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240 | PetscFunctionBegin; |
| 173 |
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240 | PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii)); |
| 174 |
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240 | if (isascii) { |
| 175 |
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240 | if (fn->alpha!=(PetscScalar)1.0 || fn->beta!=(PetscScalar)1.0) { |
| 176 |
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32 | PetscCall(SlepcSNPrintfScalar(str,sizeof(str),fn->alpha,PETSC_FALSE)); |
| 177 |
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32 | PetscCall(PetscViewerASCIIPrintf(viewer," scale factors: alpha=%s,",str)); |
| 178 |
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32 | PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_FALSE)); |
| 179 |
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32 | PetscCall(SlepcSNPrintfScalar(str,sizeof(str),fn->beta,PETSC_FALSE)); |
| 180 |
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32 | PetscCall(PetscViewerASCIIPrintf(viewer," beta=%s\n",str)); |
| 181 |
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32 | PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_TRUE)); |
| 182 | } | ||
| 183 |
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240 | if (!ctx->nq) { |
| 184 |
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150 | if (!ctx->np) PetscCall(PetscViewerASCIIPrintf(viewer," constant: 1.0\n")); |
| 185 |
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150 | else if (ctx->np==1) { |
| 186 |
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55 | PetscCall(SlepcSNPrintfScalar(str,sizeof(str),ctx->pcoeff[0],PETSC_FALSE)); |
| 187 |
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55 | PetscCall(PetscViewerASCIIPrintf(viewer," constant: %s\n",str)); |
| 188 | } else { | ||
| 189 |
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95 | PetscCall(PetscViewerASCIIPrintf(viewer," polynomial: ")); |
| 190 |
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95 | PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_FALSE)); |
| 191 |
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262 | for (i=0;i<ctx->np-1;i++) { |
| 192 |
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167 | PetscCall(SlepcSNPrintfScalar(str,sizeof(str),ctx->pcoeff[i],PETSC_TRUE)); |
| 193 |
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167 | PetscCall(PetscViewerASCIIPrintf(viewer,"%s*x^%1" PetscInt_FMT,str,ctx->np-i-1)); |
| 194 | } | ||
| 195 |
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95 | PetscCall(SlepcSNPrintfScalar(str,sizeof(str),ctx->pcoeff[ctx->np-1],PETSC_TRUE)); |
| 196 |
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95 | PetscCall(PetscViewerASCIIPrintf(viewer,"%s\n",str)); |
| 197 |
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95 | PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_TRUE)); |
| 198 | } | ||
| 199 |
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90 | } else if (!ctx->np) { |
| 200 |
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16 | PetscCall(PetscViewerASCIIPrintf(viewer," inverse polynomial: 1 / (")); |
| 201 |
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16 | PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_FALSE)); |
| 202 |
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48 | for (i=0;i<ctx->nq-1;i++) { |
| 203 |
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32 | PetscCall(SlepcSNPrintfScalar(str,sizeof(str),ctx->qcoeff[i],PETSC_TRUE)); |
| 204 |
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32 | PetscCall(PetscViewerASCIIPrintf(viewer,"%s*x^%1" PetscInt_FMT,str,ctx->nq-i-1)); |
| 205 | } | ||
| 206 |
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16 | PetscCall(SlepcSNPrintfScalar(str,sizeof(str),ctx->qcoeff[ctx->nq-1],PETSC_TRUE)); |
| 207 |
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16 | PetscCall(PetscViewerASCIIPrintf(viewer,"%s)\n",str)); |
| 208 |
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16 | PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_TRUE)); |
| 209 | } else { | ||
| 210 |
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74 | PetscCall(PetscViewerASCIIPrintf(viewer," rational function: (")); |
| 211 |
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74 | PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_FALSE)); |
| 212 |
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148 | for (i=0;i<ctx->np-1;i++) { |
| 213 |
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74 | PetscCall(SlepcSNPrintfScalar(str,sizeof(str),ctx->pcoeff[i],PETSC_TRUE)); |
| 214 |
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74 | PetscCall(PetscViewerASCIIPrintf(viewer,"%s*x^%1" PetscInt_FMT,str,ctx->np-i-1)); |
| 215 | } | ||
| 216 |
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74 | PetscCall(SlepcSNPrintfScalar(str,sizeof(str),ctx->pcoeff[ctx->np-1],PETSC_TRUE)); |
| 217 |
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74 | PetscCall(PetscViewerASCIIPrintf(viewer,"%s) / (",str)); |
| 218 |
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222 | for (i=0;i<ctx->nq-1;i++) { |
| 219 |
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148 | PetscCall(SlepcSNPrintfScalar(str,sizeof(str),ctx->qcoeff[i],PETSC_TRUE)); |
| 220 |
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148 | PetscCall(PetscViewerASCIIPrintf(viewer,"%s*x^%1" PetscInt_FMT,str,ctx->nq-i-1)); |
| 221 | } | ||
| 222 |
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74 | PetscCall(SlepcSNPrintfScalar(str,sizeof(str),ctx->qcoeff[ctx->nq-1],PETSC_TRUE)); |
| 223 |
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74 | PetscCall(PetscViewerASCIIPrintf(viewer,"%s)\n",str)); |
| 224 |
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74 | PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_TRUE)); |
| 225 | } | ||
| 226 | } | ||
| 227 |
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38 | PetscFunctionReturn(PETSC_SUCCESS); |
| 228 | } | ||
| 229 | |||
| 230 | 2255 | static PetscErrorCode FNRationalSetNumerator_Rational(FN fn,PetscInt np,PetscScalar *pcoeff) | |
| 231 | { | ||
| 232 | 2255 | FN_RATIONAL *ctx = (FN_RATIONAL*)fn->data; | |
| 233 | 2255 | PetscInt i; | |
| 234 | |||
| 235 |
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2255 | PetscFunctionBegin; |
| 236 |
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2255 | PetscCheck(np>=0,PetscObjectComm((PetscObject)fn),PETSC_ERR_ARG_OUTOFRANGE,"Argument np cannot be negative"); |
| 237 | 2255 | ctx->np = np; | |
| 238 |
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2255 | PetscCall(PetscFree(ctx->pcoeff)); |
| 239 |
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2255 | if (np) { |
| 240 |
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2239 | PetscCall(PetscMalloc1(np,&ctx->pcoeff)); |
| 241 |
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5872 | for (i=0;i<np;i++) ctx->pcoeff[i] = pcoeff[i]; |
| 242 | } | ||
| 243 |
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430 | PetscFunctionReturn(PETSC_SUCCESS); |
| 244 | } | ||
| 245 | |||
| 246 | /*@ | ||
| 247 | FNRationalSetNumerator - Sets the parameters defining the numerator of the | ||
| 248 | rational function. | ||
| 249 | |||
| 250 | Logically Collective | ||
| 251 | |||
| 252 | Input Parameters: | ||
| 253 | + fn - the math function context | ||
| 254 | . np - number of coefficients | ||
| 255 | - pcoeff - coefficients (array of scalar values) | ||
| 256 | |||
| 257 | Notes: | ||
| 258 | Let the rational function r(x) = p(x)/q(x), where p(x) and q(x) are polynomials. | ||
| 259 | This function provides the coefficients of the numerator p(x). | ||
| 260 | Hence, p(x) is of degree np-1. | ||
| 261 | If np is zero, then the numerator is assumed to be p(x)=1. | ||
| 262 | |||
| 263 | In polynomials, high order coefficients are stored in the first positions | ||
| 264 | of the array, e.g. to represent x^2-3 use {1,0,-3}. | ||
| 265 | |||
| 266 | Level: intermediate | ||
| 267 | |||
| 268 | .seealso: FNRationalSetDenominator(), FNRationalGetNumerator() | ||
| 269 | @*/ | ||
| 270 | 2255 | PetscErrorCode FNRationalSetNumerator(FN fn,PetscInt np,PetscScalar pcoeff[]) | |
| 271 | { | ||
| 272 |
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2255 | PetscFunctionBegin; |
| 273 |
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2255 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 274 |
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2255 | PetscValidLogicalCollectiveInt(fn,np,2); |
| 275 |
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2255 | if (np) PetscAssertPointer(pcoeff,3); |
| 276 |
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2255 | PetscTryMethod(fn,"FNRationalSetNumerator_C",(FN,PetscInt,PetscScalar*),(fn,np,pcoeff)); |
| 277 |
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2255 | PetscFunctionReturn(PETSC_SUCCESS); |
| 278 | } | ||
| 279 | |||
| 280 | 16 | static PetscErrorCode FNRationalGetNumerator_Rational(FN fn,PetscInt *np,PetscScalar *pcoeff[]) | |
| 281 | { | ||
| 282 | 16 | FN_RATIONAL *ctx = (FN_RATIONAL*)fn->data; | |
| 283 | 16 | PetscInt i; | |
| 284 | |||
| 285 |
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16 | PetscFunctionBegin; |
| 286 |
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16 | if (np) *np = ctx->np; |
| 287 |
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16 | if (pcoeff) { |
| 288 |
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16 | if (!ctx->np) *pcoeff = NULL; |
| 289 | else { | ||
| 290 |
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16 | PetscCall(PetscMalloc1(ctx->np,pcoeff)); |
| 291 |
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48 | for (i=0;i<ctx->np;i++) (*pcoeff)[i] = ctx->pcoeff[i]; |
| 292 | } | ||
| 293 | } | ||
| 294 |
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2 | PetscFunctionReturn(PETSC_SUCCESS); |
| 295 | } | ||
| 296 | |||
| 297 | /*@C | ||
| 298 | FNRationalGetNumerator - Gets the parameters that define the numerator of the | ||
| 299 | rational function. | ||
| 300 | |||
| 301 | Not Collective | ||
| 302 | |||
| 303 | Input Parameter: | ||
| 304 | . fn - the math function context | ||
| 305 | |||
| 306 | Output Parameters: | ||
| 307 | + np - number of coefficients | ||
| 308 | - pcoeff - coefficients (array of scalar values, length nq) | ||
| 309 | |||
| 310 | Notes: | ||
| 311 | The values passed by user with FNRationalSetNumerator() are returned (or null | ||
| 312 | pointers otherwise). | ||
| 313 | The pcoeff array should be freed by the user when no longer needed. | ||
| 314 | |||
| 315 | Level: intermediate | ||
| 316 | |||
| 317 | .seealso: FNRationalSetNumerator() | ||
| 318 | @*/ | ||
| 319 | 16 | PetscErrorCode FNRationalGetNumerator(FN fn,PetscInt *np,PetscScalar *pcoeff[]) PeNS | |
| 320 | { | ||
| 321 |
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16 | PetscFunctionBegin; |
| 322 |
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16 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 323 |
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16 | PetscUseMethod(fn,"FNRationalGetNumerator_C",(FN,PetscInt*,PetscScalar**),(fn,np,pcoeff)); |
| 324 |
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16 | PetscFunctionReturn(PETSC_SUCCESS); |
| 325 | } | ||
| 326 | |||
| 327 | 352 | static PetscErrorCode FNRationalSetDenominator_Rational(FN fn,PetscInt nq,PetscScalar *qcoeff) | |
| 328 | { | ||
| 329 | 352 | FN_RATIONAL *ctx = (FN_RATIONAL*)fn->data; | |
| 330 | 352 | PetscInt i; | |
| 331 | |||
| 332 |
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352 | PetscFunctionBegin; |
| 333 |
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352 | PetscCheck(nq>=0,PetscObjectComm((PetscObject)fn),PETSC_ERR_ARG_OUTOFRANGE,"Argument nq cannot be negative"); |
| 334 | 352 | ctx->nq = nq; | |
| 335 |
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352 | PetscCall(PetscFree(ctx->qcoeff)); |
| 336 |
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352 | if (nq) { |
| 337 |
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336 | PetscCall(PetscMalloc1(nq,&ctx->qcoeff)); |
| 338 |
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1098 | for (i=0;i<nq;i++) ctx->qcoeff[i] = qcoeff[i]; |
| 339 | } | ||
| 340 |
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65 | PetscFunctionReturn(PETSC_SUCCESS); |
| 341 | } | ||
| 342 | |||
| 343 | /*@ | ||
| 344 | FNRationalSetDenominator - Sets the parameters defining the denominator of the | ||
| 345 | rational function. | ||
| 346 | |||
| 347 | Logically Collective | ||
| 348 | |||
| 349 | Input Parameters: | ||
| 350 | + fn - the math function context | ||
| 351 | . nq - number of coefficients | ||
| 352 | - qcoeff - coefficients (array of scalar values) | ||
| 353 | |||
| 354 | Notes: | ||
| 355 | Let the rational function r(x) = p(x)/q(x), where p(x) and q(x) are polynomials. | ||
| 356 | This function provides the coefficients of the denominator q(x). | ||
| 357 | Hence, q(x) is of degree nq-1. | ||
| 358 | If nq is zero, then the function is assumed to be polynomial, r(x) = p(x). | ||
| 359 | |||
| 360 | In polynomials, high order coefficients are stored in the first positions | ||
| 361 | of the array, e.g. to represent x^2-3 use {1,0,-3}. | ||
| 362 | |||
| 363 | Level: intermediate | ||
| 364 | |||
| 365 | .seealso: FNRationalSetNumerator(), FNRationalGetDenominator() | ||
| 366 | @*/ | ||
| 367 | 352 | PetscErrorCode FNRationalSetDenominator(FN fn,PetscInt nq,PetscScalar qcoeff[]) | |
| 368 | { | ||
| 369 |
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352 | PetscFunctionBegin; |
| 370 |
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352 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 371 |
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352 | PetscValidLogicalCollectiveInt(fn,nq,2); |
| 372 |
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352 | if (nq) PetscAssertPointer(qcoeff,3); |
| 373 |
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352 | PetscTryMethod(fn,"FNRationalSetDenominator_C",(FN,PetscInt,PetscScalar*),(fn,nq,qcoeff)); |
| 374 |
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352 | PetscFunctionReturn(PETSC_SUCCESS); |
| 375 | } | ||
| 376 | |||
| 377 | 116 | static PetscErrorCode FNRationalGetDenominator_Rational(FN fn,PetscInt *nq,PetscScalar *qcoeff[]) | |
| 378 | { | ||
| 379 | 116 | FN_RATIONAL *ctx = (FN_RATIONAL*)fn->data; | |
| 380 | 116 | PetscInt i; | |
| 381 | |||
| 382 |
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116 | PetscFunctionBegin; |
| 383 |
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116 | if (nq) *nq = ctx->nq; |
| 384 |
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116 | if (qcoeff) { |
| 385 |
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116 | if (!ctx->nq) *qcoeff = NULL; |
| 386 | else { | ||
| 387 |
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46 | PetscCall(PetscMalloc1(ctx->nq,qcoeff)); |
| 388 |
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154 | for (i=0;i<ctx->nq;i++) (*qcoeff)[i] = ctx->qcoeff[i]; |
| 389 | } | ||
| 390 | } | ||
| 391 |
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22 | PetscFunctionReturn(PETSC_SUCCESS); |
| 392 | } | ||
| 393 | |||
| 394 | /*@C | ||
| 395 | FNRationalGetDenominator - Gets the parameters that define the denominator of the | ||
| 396 | rational function. | ||
| 397 | |||
| 398 | Not Collective | ||
| 399 | |||
| 400 | Input Parameter: | ||
| 401 | . fn - the math function context | ||
| 402 | |||
| 403 | Output Parameters: | ||
| 404 | + nq - number of coefficients | ||
| 405 | - qcoeff - coefficients (array of scalar values, length nq) | ||
| 406 | |||
| 407 | Notes: | ||
| 408 | The values passed by user with FNRationalSetDenominator() are returned (or a null | ||
| 409 | pointer otherwise). | ||
| 410 | The qcoeff array should be freed by the user when no longer needed. | ||
| 411 | |||
| 412 | Level: intermediate | ||
| 413 | |||
| 414 | .seealso: FNRationalSetDenominator() | ||
| 415 | @*/ | ||
| 416 | 116 | PetscErrorCode FNRationalGetDenominator(FN fn,PetscInt *nq,PetscScalar *qcoeff[]) PeNS | |
| 417 | { | ||
| 418 |
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116 | PetscFunctionBegin; |
| 419 |
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116 | PetscValidHeaderSpecific(fn,FN_CLASSID,1); |
| 420 |
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116 | PetscUseMethod(fn,"FNRationalGetDenominator_C",(FN,PetscInt*,PetscScalar**),(fn,nq,qcoeff)); |
| 421 |
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116 | PetscFunctionReturn(PETSC_SUCCESS); |
| 422 | } | ||
| 423 | |||
| 424 | 2107 | static PetscErrorCode FNSetFromOptions_Rational(FN fn,PetscOptionItems PetscOptionsObject) | |
| 425 | { | ||
| 426 | #define PARMAX 10 | ||
| 427 | 2107 | PetscScalar array[PARMAX]; | |
| 428 | 2107 | PetscInt i,k; | |
| 429 | 2107 | PetscBool flg; | |
| 430 | |||
| 431 |
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2107 | PetscFunctionBegin; |
| 432 |
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2107 | PetscOptionsHeadBegin(PetscOptionsObject,"FN Rational Options"); |
| 433 | |||
| 434 | 2107 | k = PARMAX; | |
| 435 |
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23177 | for (i=0;i<k;i++) array[i] = 0; |
| 436 |
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2107 | PetscCall(PetscOptionsScalarArray("-fn_rational_numerator","Numerator coefficients (one or more scalar values separated with a comma without spaces)","FNRationalSetNumerator",array,&k,&flg)); |
| 437 |
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2107 | if (flg) PetscCall(FNRationalSetNumerator(fn,k,array)); |
| 438 | |||
| 439 | 2107 | k = PARMAX; | |
| 440 |
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23177 | for (i=0;i<k;i++) array[i] = 0; |
| 441 |
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2107 | PetscCall(PetscOptionsScalarArray("-fn_rational_denominator","Denominator coefficients (one or more scalar values separated with a comma without spaces)","FNRationalSetDenominator",array,&k,&flg)); |
| 442 |
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2107 | if (flg) PetscCall(FNRationalSetDenominator(fn,k,array)); |
| 443 | |||
| 444 |
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2107 | PetscOptionsHeadEnd(); |
| 445 |
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402 | PetscFunctionReturn(PETSC_SUCCESS); |
| 446 | } | ||
| 447 | |||
| 448 | 288 | static PetscErrorCode FNDuplicate_Rational(FN fn,MPI_Comm comm,FN *newfn) | |
| 449 | { | ||
| 450 | 288 | FN_RATIONAL *ctx = (FN_RATIONAL*)fn->data,*ctx2 = (FN_RATIONAL*)(*newfn)->data; | |
| 451 | 288 | PetscInt i; | |
| 452 | |||
| 453 |
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288 | PetscFunctionBegin; |
| 454 | 288 | ctx2->np = ctx->np; | |
| 455 |
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288 | if (ctx->np) { |
| 456 |
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288 | PetscCall(PetscMalloc1(ctx->np,&ctx2->pcoeff)); |
| 457 |
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808 | for (i=0;i<ctx->np;i++) ctx2->pcoeff[i] = ctx->pcoeff[i]; |
| 458 | } | ||
| 459 | 288 | ctx2->nq = ctx->nq; | |
| 460 |
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288 | if (ctx->nq) { |
| 461 |
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104 | PetscCall(PetscMalloc1(ctx->nq,&ctx2->qcoeff)); |
| 462 |
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336 | for (i=0;i<ctx->nq;i++) ctx2->qcoeff[i] = ctx->qcoeff[i]; |
| 463 | } | ||
| 464 |
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56 | PetscFunctionReturn(PETSC_SUCCESS); |
| 465 | } | ||
| 466 | |||
| 467 | 2519 | static PetscErrorCode FNDestroy_Rational(FN fn) | |
| 468 | { | ||
| 469 | 2519 | FN_RATIONAL *ctx = (FN_RATIONAL*)fn->data; | |
| 470 | |||
| 471 |
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2519 | PetscFunctionBegin; |
| 472 |
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2519 | PetscCall(PetscFree(ctx->pcoeff)); |
| 473 |
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2519 | PetscCall(PetscFree(ctx->qcoeff)); |
| 474 |
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2519 | PetscCall(PetscFree(fn->data)); |
| 475 |
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2519 | PetscCall(PetscObjectComposeFunction((PetscObject)fn,"FNRationalSetNumerator_C",NULL)); |
| 476 |
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2519 | PetscCall(PetscObjectComposeFunction((PetscObject)fn,"FNRationalGetNumerator_C",NULL)); |
| 477 |
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2519 | PetscCall(PetscObjectComposeFunction((PetscObject)fn,"FNRationalSetDenominator_C",NULL)); |
| 478 |
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2519 | PetscCall(PetscObjectComposeFunction((PetscObject)fn,"FNRationalGetDenominator_C",NULL)); |
| 479 |
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482 | PetscFunctionReturn(PETSC_SUCCESS); |
| 480 | } | ||
| 481 | |||
| 482 | 2519 | SLEPC_EXTERN PetscErrorCode FNCreate_Rational(FN fn) | |
| 483 | { | ||
| 484 | 2519 | FN_RATIONAL *ctx; | |
| 485 | |||
| 486 |
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2519 | PetscFunctionBegin; |
| 487 |
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2519 | PetscCall(PetscNew(&ctx)); |
| 488 | 2519 | fn->data = (void*)ctx; | |
| 489 | |||
| 490 | 2519 | fn->ops->evaluatefunction = FNEvaluateFunction_Rational; | |
| 491 | 2519 | fn->ops->evaluatederivative = FNEvaluateDerivative_Rational; | |
| 492 | 2519 | fn->ops->evaluatefunctionmat[0] = FNEvaluateFunctionMat_Rational; | |
| 493 | 2519 | fn->ops->evaluatefunctionmatvec[0] = FNEvaluateFunctionMatVec_Rational; | |
| 494 | #if defined(PETSC_HAVE_CUDA) | ||
| 495 | 525 | fn->ops->evaluatefunctionmatcuda[0] = FNEvaluateFunctionMat_Rational; | |
| 496 | 525 | fn->ops->evaluatefunctionmatveccuda[0] = FNEvaluateFunctionMatVec_Rational; | |
| 497 | #endif | ||
| 498 | 2519 | fn->ops->setfromoptions = FNSetFromOptions_Rational; | |
| 499 | 2519 | fn->ops->view = FNView_Rational; | |
| 500 | 2519 | fn->ops->duplicate = FNDuplicate_Rational; | |
| 501 | 2519 | fn->ops->destroy = FNDestroy_Rational; | |
| 502 |
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2519 | PetscCall(PetscObjectComposeFunction((PetscObject)fn,"FNRationalSetNumerator_C",FNRationalSetNumerator_Rational)); |
| 503 |
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2519 | PetscCall(PetscObjectComposeFunction((PetscObject)fn,"FNRationalGetNumerator_C",FNRationalGetNumerator_Rational)); |
| 504 |
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2519 | PetscCall(PetscObjectComposeFunction((PetscObject)fn,"FNRationalSetDenominator_C",FNRationalSetDenominator_Rational)); |
| 505 |
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2519 | PetscCall(PetscObjectComposeFunction((PetscObject)fn,"FNRationalGetDenominator_C",FNRationalGetDenominator_Rational)); |
| 506 |
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482 | PetscFunctionReturn(PETSC_SUCCESS); |
| 507 | } | ||
| 508 |