Date: 2015-09-03T15:03:51+00:00

Actual source code: test1.c
slepc-3.6.1 2015-09-03
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      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-2015, Universitat Politecnica de Valencia, Spain

      6:    This file is part of SLEPc.

      8:    SLEPc is free software: you can redistribute it and/or modify it under  the
      9:    terms of version 3 of the GNU Lesser General Public License as published by
     10:    the Free Software Foundation.

     12:    SLEPc  is  distributed in the hope that it will be useful, but WITHOUT  ANY
     13:    WARRANTY;  without even the implied warranty of MERCHANTABILITY or  FITNESS
     14:    FOR  A  PARTICULAR PURPOSE. See the GNU Lesser General Public  License  for
     15:    more details.

     17:    You  should have received a copy of the GNU Lesser General  Public  License
     18:    along with SLEPc. If not, see <http://www.gnu.org/licenses/>.
     19:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     20: */

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

     24: #include <slepcfn.h>

     28: int main(int argc,char **argv)
     29: {
     31:   FN             fn;
     32:   PetscInt       na,nb;
     33:   PetscScalar    x,y,yp,p[10],q[10],five=5.0;
     34:   char           strx[50],str[50];

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

     39:   /* polynomial p(x) */
     40:   na = 5;
     41:   p[0] = -3.1; p[1] = 1.1; p[2] = 1.0; p[3] = -2.0; p[4] = 3.5;
     42:   FNSetType(fn,FNRATIONAL);
     43:   FNRationalSetNumerator(fn,na,p);
     44:   FNView(fn,NULL);
     45:   x = 2.2;
     46:   SlepcSNPrintfScalar(strx,50,x,PETSC_FALSE);
     47:   FNEvaluateFunction(fn,x,&y);
     48:   FNEvaluateDerivative(fn,x,&yp);
     49:   SlepcSNPrintfScalar(str,50,y,PETSC_FALSE);
     50:   PetscPrintf(PETSC_COMM_WORLD,"  f(%s)=%s\n",strx,str);
     51:   SlepcSNPrintfScalar(str,50,yp,PETSC_FALSE);
     52:   PetscPrintf(PETSC_COMM_WORLD,"  f'(%s)=%s\n",strx,str);

     54:   /* inverse of polynomial 1/q(x) */
     55:   nb = 3;
     56:   q[0] = -3.1; q[1] = 1.1; q[2] = 1.0;
     57:   FNSetType(fn,FNRATIONAL);
     58:   FNRationalSetNumerator(fn,0,NULL);  /* reset previous values */
     59:   FNRationalSetDenominator(fn,nb,q);
     60:   FNView(fn,NULL);
     61:   x = 2.2;
     62:   SlepcSNPrintfScalar(strx,50,x,PETSC_FALSE);
     63:   FNEvaluateFunction(fn,x,&y);
     64:   FNEvaluateDerivative(fn,x,&yp);
     65:   SlepcSNPrintfScalar(str,50,y,PETSC_FALSE);
     66:   PetscPrintf(PETSC_COMM_WORLD,"  f(%s)=%s\n",strx,str);
     67:   SlepcSNPrintfScalar(str,50,yp,PETSC_FALSE);
     68:   PetscPrintf(PETSC_COMM_WORLD,"  f'(%s)=%s\n",strx,str);

     70:   /* rational p(x)/q(x) */
     71:   na = 2; nb = 3;
     72:   p[0] = -3.1; p[1] = 1.1;
     73:   q[0] = 1.0; q[1] = -2.0; q[2] = 3.5;
     74:   FNSetType(fn,FNRATIONAL);
     75:   FNRationalSetNumerator(fn,na,p);
     76:   FNRationalSetDenominator(fn,nb,q);
     77:   FNView(fn,NULL);
     78:   x = 2.2;
     79:   SlepcSNPrintfScalar(strx,50,x,PETSC_FALSE);
     80:   FNEvaluateFunction(fn,x,&y);
     81:   FNEvaluateDerivative(fn,x,&yp);
     82:   SlepcSNPrintfScalar(str,50,y,PETSC_FALSE);
     83:   PetscPrintf(PETSC_COMM_WORLD,"  f(%s)=%s\n",strx,str);
     84:   SlepcSNPrintfScalar(str,50,yp,PETSC_FALSE);
     85:   PetscPrintf(PETSC_COMM_WORLD,"  f'(%s)=%s\n",strx,str);

     87:   /* constant */
     88:   FNSetType(fn,FNRATIONAL);
     89:   FNRationalSetNumerator(fn,1,&five);
     90:   FNRationalSetDenominator(fn,0,NULL);  /* reset previous values */
     91:   FNView(fn,NULL);
     92:   x = 2.2;
     93:   SlepcSNPrintfScalar(strx,50,x,PETSC_FALSE);
     94:   FNEvaluateFunction(fn,x,&y);
     95:   FNEvaluateDerivative(fn,x,&yp);
     96:   SlepcSNPrintfScalar(str,50,y,PETSC_FALSE);
     97:   PetscPrintf(PETSC_COMM_WORLD,"  f(%s)=%s\n",strx,str);
     98:   SlepcSNPrintfScalar(str,50,yp,PETSC_FALSE);
     99:   PetscPrintf(PETSC_COMM_WORLD,"  f'(%s)=%s\n",strx,str);

    101:   FNDestroy(&fn);
    102:   SlepcFinalize();
    103:   return 0;
    104: }