Actual source code: test1.c

slepc-3.17.1 2022-04-11
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  1: /*
  2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
  4:    Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain

  6:    This file is part of SLEPc.
  7:    SLEPc is distributed under a 2-clause BSD license (see LICENSE).
  8:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  9: */

 11: static char help[] = "Test rational function.\n\n";

 13: #include <slepcfn.h>

 15: int main(int argc,char **argv)
 16: {
 17:   FN             fn;
 18:   PetscInt       i,na,nb;
 19:   PetscScalar    x,y,yp,p[10],q[10],five=5.0,*pp,*qq;
 20:   char           strx[50],str[50];

 22:   SlepcInitialize(&argc,&argv,(char*)0,help);
 23:   FNCreate(PETSC_COMM_WORLD,&fn);

 25:   /* polynomial p(x) */
 26:   na = 5;
 27:   p[0] = -3.1; p[1] = 1.1; p[2] = 1.0; p[3] = -2.0; p[4] = 3.5;
 28:   FNSetType(fn,FNRATIONAL);
 29:   FNRationalSetNumerator(fn,na,p);
 30:   FNView(fn,NULL);
 31:   x = 2.2;
 32:   SlepcSNPrintfScalar(strx,sizeof(strx),x,PETSC_FALSE);
 33:   FNEvaluateFunction(fn,x,&y);
 34:   FNEvaluateDerivative(fn,x,&yp);
 35:   SlepcSNPrintfScalar(str,sizeof(str),y,PETSC_FALSE);
 36:   PetscPrintf(PETSC_COMM_WORLD,"  f(%s)=%s\n",strx,str);
 37:   SlepcSNPrintfScalar(str,sizeof(str),yp,PETSC_FALSE);
 38:   PetscPrintf(PETSC_COMM_WORLD,"  f'(%s)=%s\n",strx,str);

 40:   /* inverse of polynomial 1/q(x) */
 41:   nb = 3;
 42:   q[0] = -3.1; q[1] = 1.1; q[2] = 1.0;
 43:   FNSetType(fn,FNRATIONAL);
 44:   FNRationalSetNumerator(fn,0,NULL);  /* reset previous values */
 45:   FNRationalSetDenominator(fn,nb,q);
 46:   FNView(fn,NULL);
 47:   x = 2.2;
 48:   SlepcSNPrintfScalar(strx,sizeof(strx),x,PETSC_FALSE);
 49:   FNEvaluateFunction(fn,x,&y);
 50:   FNEvaluateDerivative(fn,x,&yp);
 51:   SlepcSNPrintfScalar(str,sizeof(str),y,PETSC_FALSE);
 52:   PetscPrintf(PETSC_COMM_WORLD,"  f(%s)=%s\n",strx,str);
 53:   SlepcSNPrintfScalar(str,sizeof(str),yp,PETSC_FALSE);
 54:   PetscPrintf(PETSC_COMM_WORLD,"  f'(%s)=%s\n",strx,str);

 56:   /* rational p(x)/q(x) */
 57:   na = 2; nb = 3;
 58:   p[0] = 1.1; p[1] = 1.1;
 59:   q[0] = 1.0; q[1] = -2.0; q[2] = 3.5;
 60:   FNSetType(fn,FNRATIONAL);
 61:   FNRationalSetNumerator(fn,na,p);
 62:   FNRationalSetDenominator(fn,nb,q);
 63:   FNSetScale(fn,1.2,0.5);
 64:   FNView(fn,NULL);
 65:   x = 2.2;
 66:   SlepcSNPrintfScalar(strx,sizeof(strx),x,PETSC_FALSE);
 67:   FNEvaluateFunction(fn,x,&y);
 68:   FNEvaluateDerivative(fn,x,&yp);
 69:   SlepcSNPrintfScalar(str,sizeof(str),y,PETSC_FALSE);
 70:   PetscPrintf(PETSC_COMM_WORLD,"  f(%s)=%s\n",strx,str);
 71:   SlepcSNPrintfScalar(str,sizeof(str),yp,PETSC_FALSE);
 72:   PetscPrintf(PETSC_COMM_WORLD,"  f'(%s)=%s\n",strx,str);

 74:   FNRationalGetNumerator(fn,&na,&pp);
 75:   FNRationalGetDenominator(fn,&nb,&qq);
 76:   PetscPrintf(PETSC_COMM_WORLD,"Coefficients:\n  Numerator: ");
 77:   for (i=0;i<na;i++) {
 78:     SlepcSNPrintfScalar(str,sizeof(str),pp[i],PETSC_FALSE);
 79:     PetscPrintf(PETSC_COMM_WORLD,"%s ",str);
 80:   }
 81:   PetscPrintf(PETSC_COMM_WORLD,"\n  Denominator: ");
 82:   for (i=0;i<nb;i++) {
 83:     SlepcSNPrintfScalar(str,sizeof(str),qq[i],PETSC_FALSE);
 84:     PetscPrintf(PETSC_COMM_WORLD,"%s ",str);
 85:   }
 86:   PetscPrintf(PETSC_COMM_WORLD,"\n");
 87:   PetscFree(pp);
 88:   PetscFree(qq);

 90:   /* constant */
 91:   FNSetType(fn,FNRATIONAL);
 92:   FNRationalSetNumerator(fn,1,&five);
 93:   FNRationalSetDenominator(fn,0,NULL);  /* reset previous values */
 94:   FNView(fn,NULL);
 95:   x = 2.2;
 96:   SlepcSNPrintfScalar(strx,sizeof(strx),x,PETSC_FALSE);
 97:   FNEvaluateFunction(fn,x,&y);
 98:   FNEvaluateDerivative(fn,x,&yp);
 99:   SlepcSNPrintfScalar(str,sizeof(str),y,PETSC_FALSE);
100:   PetscPrintf(PETSC_COMM_WORLD,"  f(%s)=%s\n",strx,str);
101:   SlepcSNPrintfScalar(str,sizeof(str),yp,PETSC_FALSE);
102:   PetscPrintf(PETSC_COMM_WORLD,"  f'(%s)=%s\n",strx,str);

104:   FNDestroy(&fn);
105:   SlepcFinalize();
106:   return 0;
107: }

109: /*TEST

111:    test:
112:       suffix: 1
113:       nsize: 1

115: TEST*/