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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 | static char help[] = "Test rational function.\n\n"; | ||
12 | |||
13 | #include <slepcfn.h> | ||
14 | |||
15 | 10 | int main(int argc,char **argv) | |
16 | { | ||
17 | 10 | FN fn; | |
18 | 10 | PetscInt i,na,nb; | |
19 | 10 | PetscScalar x,y,yp,p[10],q[10],five=5.0,*pp,*qq; | |
20 | 10 | char strx[50],str[50]; | |
21 | |||
22 |
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10 | PetscFunctionBeginUser; |
23 |
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10 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
24 |
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10 | PetscCall(FNCreate(PETSC_COMM_WORLD,&fn)); |
25 | |||
26 | /* polynomial p(x) */ | ||
27 | 10 | na = 5; | |
28 | 10 | p[0] = -3.1; p[1] = 1.1; p[2] = 1.0; p[3] = -2.0; p[4] = 3.5; | |
29 |
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10 | PetscCall(FNSetType(fn,FNRATIONAL)); |
30 |
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10 | PetscCall(FNRationalSetNumerator(fn,na,p)); |
31 |
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10 | PetscCall(FNView(fn,NULL)); |
32 | 10 | x = 2.2; | |
33 |
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10 | PetscCall(SlepcSNPrintfScalar(strx,sizeof(strx),x,PETSC_FALSE)); |
34 |
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10 | PetscCall(FNEvaluateFunction(fn,x,&y)); |
35 |
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10 | PetscCall(FNEvaluateDerivative(fn,x,&yp)); |
36 |
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10 | PetscCall(SlepcSNPrintfScalar(str,sizeof(str),y,PETSC_FALSE)); |
37 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," f(%s)=%s\n",strx,str)); |
38 |
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10 | PetscCall(SlepcSNPrintfScalar(str,sizeof(str),yp,PETSC_FALSE)); |
39 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," f'(%s)=%s\n",strx,str)); |
40 | |||
41 | /* inverse of polynomial 1/q(x) */ | ||
42 | 10 | nb = 3; | |
43 | 10 | q[0] = -3.1; q[1] = 1.1; q[2] = 1.0; | |
44 |
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10 | PetscCall(FNSetType(fn,FNRATIONAL)); |
45 |
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10 | PetscCall(FNRationalSetNumerator(fn,0,NULL)); /* reset previous values */ |
46 |
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10 | PetscCall(FNRationalSetDenominator(fn,nb,q)); |
47 |
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10 | PetscCall(FNView(fn,NULL)); |
48 | 10 | x = 2.2; | |
49 |
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10 | PetscCall(SlepcSNPrintfScalar(strx,sizeof(strx),x,PETSC_FALSE)); |
50 |
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10 | PetscCall(FNEvaluateFunction(fn,x,&y)); |
51 |
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10 | PetscCall(FNEvaluateDerivative(fn,x,&yp)); |
52 |
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10 | PetscCall(SlepcSNPrintfScalar(str,sizeof(str),y,PETSC_FALSE)); |
53 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," f(%s)=%s\n",strx,str)); |
54 |
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10 | PetscCall(SlepcSNPrintfScalar(str,sizeof(str),yp,PETSC_FALSE)); |
55 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," f'(%s)=%s\n",strx,str)); |
56 | |||
57 | /* rational p(x)/q(x) */ | ||
58 | 10 | na = 2; nb = 3; | |
59 | 10 | p[0] = 1.1; p[1] = 1.1; | |
60 | 10 | q[0] = 1.0; q[1] = -2.0; q[2] = 3.5; | |
61 |
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10 | PetscCall(FNSetType(fn,FNRATIONAL)); |
62 |
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10 | PetscCall(FNRationalSetNumerator(fn,na,p)); |
63 |
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10 | PetscCall(FNRationalSetDenominator(fn,nb,q)); |
64 |
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10 | PetscCall(FNSetScale(fn,1.2,0.5)); |
65 |
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10 | PetscCall(FNView(fn,NULL)); |
66 | 10 | x = 2.2; | |
67 |
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10 | PetscCall(SlepcSNPrintfScalar(strx,sizeof(strx),x,PETSC_FALSE)); |
68 |
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10 | PetscCall(FNEvaluateFunction(fn,x,&y)); |
69 |
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10 | PetscCall(FNEvaluateDerivative(fn,x,&yp)); |
70 |
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10 | PetscCall(SlepcSNPrintfScalar(str,sizeof(str),y,PETSC_FALSE)); |
71 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," f(%s)=%s\n",strx,str)); |
72 |
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10 | PetscCall(SlepcSNPrintfScalar(str,sizeof(str),yp,PETSC_FALSE)); |
73 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," f'(%s)=%s\n",strx,str)); |
74 | |||
75 |
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10 | PetscCall(FNRationalGetNumerator(fn,&na,&pp)); |
76 |
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10 | PetscCall(FNRationalGetDenominator(fn,&nb,&qq)); |
77 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Coefficients:\n Numerator: ")); |
78 |
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30 | for (i=0;i<na;i++) { |
79 |
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20 | PetscCall(SlepcSNPrintfScalar(str,sizeof(str),pp[i],PETSC_FALSE)); |
80 |
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20 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"%s ",str)); |
81 | } | ||
82 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n Denominator: ")); |
83 |
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40 | for (i=0;i<nb;i++) { |
84 |
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30 | PetscCall(SlepcSNPrintfScalar(str,sizeof(str),qq[i],PETSC_FALSE)); |
85 |
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30 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"%s ",str)); |
86 | } | ||
87 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n")); |
88 |
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10 | PetscCall(PetscFree(pp)); |
89 |
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10 | PetscCall(PetscFree(qq)); |
90 | |||
91 | /* constant */ | ||
92 |
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10 | PetscCall(FNSetType(fn,FNRATIONAL)); |
93 |
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10 | PetscCall(FNRationalSetNumerator(fn,1,&five)); |
94 |
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10 | PetscCall(FNRationalSetDenominator(fn,0,NULL)); /* reset previous values */ |
95 |
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10 | PetscCall(FNView(fn,NULL)); |
96 | 10 | x = 2.2; | |
97 |
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10 | PetscCall(SlepcSNPrintfScalar(strx,sizeof(strx),x,PETSC_FALSE)); |
98 |
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10 | PetscCall(FNEvaluateFunction(fn,x,&y)); |
99 |
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10 | PetscCall(FNEvaluateDerivative(fn,x,&yp)); |
100 |
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10 | PetscCall(SlepcSNPrintfScalar(str,sizeof(str),y,PETSC_FALSE)); |
101 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," f(%s)=%s\n",strx,str)); |
102 |
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10 | PetscCall(SlepcSNPrintfScalar(str,sizeof(str),yp,PETSC_FALSE)); |
103 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," f'(%s)=%s\n",strx,str)); |
104 | |||
105 |
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10 | PetscCall(FNDestroy(&fn)); |
106 |
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10 | PetscCall(SlepcFinalize()); |
107 | return 0; | ||
108 | } | ||
109 | |||
110 | /*TEST | ||
111 | |||
112 | test: | ||
113 | suffix: 1 | ||
114 | nsize: 1 | ||
115 | |||
116 | TEST*/ | ||
117 |