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/*----------------------------------------------------------------------------
ADOL-C -- Automatic Differentiation by Overloading in C++
File: trigger.cpp
Revision: $Id$
Contents: Test driver 'inverse_tensor_eval(..)' that allows to
compute higher order derivatives of inverse functions
Function model: trigger circuit
Copyright (c) Andrea Walther, Andreas Griewank
This file is part of ADOL-C. This software is provided as open source.
Any use, reproduction, or distribution of the software constitutes
recipient's acceptance of the terms of the accompanying license file.
---------------------------------------------------------------------------*/
/****************************************************************************/
/* INCLUDES */
#include <adolc/adolc.h>
#include <cstdlib>
/****************************************************************************/
/* MAIN */
int main() {
int i,j,n,d,p,dim;
/*--------------------------------------------------------------------------*/
printf(" TRIGGER CIRCUIT EXAMPLE (ADOL-C Example)\n\n"); /* inputs */
printf(" # of indeps = 7, # of deps = 7 (fixed)\n");
n = 7;
p = 3;
d = 4;
/*--------------------------------------------------------------------------*/
double* xp = new double[n]; /* allocations and inits */
double* Fhp = new double[n];
double** S = new double*[n];
double** tensors;
int* multi = new int[d];
int* add = new int[5];
for(i=0;i<n;i++) {
S[i] = new double[p];
for(j=0;j<p;j++)
S[i][j] = 0;
}
S[4][0] = 1;
S[5][1] = 1;
S[6][2] = 1;
xp[0] = 5.155103392445;
xp[1] = 5.808134401609;
xp[2] = 5.764511314735;
xp[3] = 5.569172054801;
xp[4] = 5.786953999546;
xp[5] = 1.1294023667;
xp[6] = 0;
/*--------------------------------------------------------------------------*/
trace_on(1); /* tracing the function */
adouble* x = new adouble[n];
adouble* Fh = new adouble[n];
for(i=0;i<n;i++)
x[i] <<= xp[i];
Fh[0]=x[0]/20-1e-9*(exp(30*(x[4]-x[0]))+exp(30*(x[2]-x[0])))-1.88e-7;
Fh[0]+=+.95e-7*(exp(30*(x[4]-x[1]))+exp(30*(x[2]-x[3])));
Fh[1]= .99e-9*exp(30*(x[4]-x[0]))-1e-7*exp(30*(x[4]-x[1]))+.9901e-7;
Fh[1]+=+(x[1]-x[2])/50-(6-x[1])/x[5]-x[6];
Fh[2]= 1e-11*exp(30*(x[2]-x[0]))+5e-9*exp(30*(x[2]-x[3]))-5.01e-9;
Fh[2]+=-(x[1]-x[2])/50;
Fh[3]=.99e-9*exp(30*(x[2]-x[0]))-1e-7*exp(30*(x[2]-x[3]))+.9901e-7;
Fh[3]+=-(6-x[3])/5;
Fh[4]= x[0]-5.155103392445;
Fh[5]= x[4]-5.786953999546;
Fh[6] = x[5]-1.1294023667;
for(i=0;i<n;i++)
Fh[i] >>= Fhp[i];
trace_off();
/*--------------------------------------------------------------------------*/
printf("\n Fh(x,0) = \n ("); /* inverse_tensor_eval */
for(i=0;i<n;i++)
printf(" %f",Fhp[i]);
printf(" %15.10f )\n\n",Fhp[n-1]);
dim = binomi(p+d,d);
tensors = myalloc2(n,dim);
inverse_tensor_eval(1,n,d,p,xp,tensors,S);
for(i=0;i<d;i++)
multi[i] = 0;
multi[d-1] = 1;
add[0] = tensor_address(d,multi);
multi[d-2] = 1;
add[1] = tensor_address(d,multi);
multi[d-3] = 1;
add[2] = tensor_address(d,multi);
multi[d-1] = 2;
multi[d-2] = 0;
multi[d-3] = 0;
add[3] = tensor_address(d,multi);
multi[d-1] = 3;
add[4] = tensor_address(d,multi);
printf(" Results: \n");
printf(" Fh^{-1}(0,z) = \n (");
for(i=0;i<n-1;i++)
printf(" %15.10f ,",tensors[i][0]);
printf(" %15.10f )\n\n",tensors[n-1][0]);
printf(" Fh^{-1}_{z_1}(0,z) = \n (");
for(i=0;i<n-1;i++)
printf(" %15.10f ,",tensors[i][add[0]]);
printf(" %15.10f )\n\n",tensors[n-1][add[0]]);
printf(" Fh^{-1}_{x_1 x_1}(0,z) = \n (");
for(i=0;i<n-1;i++)
printf(" %15.10f ,",tensors[i][add[1]]);
printf(" %15.10f )\n\n",tensors[n-1][add[1]]);
printf(" Fh^{-1}_{x_1 x_1 x_1}(0,z) = \n (");
for(i=0;i<n-1;i++)
printf(" %15.10f ,",tensors[i][add[2]]);
printf(" %15.10f )\n\n",tensors[n-1][add[2]]);
printf(" Fh^{-1}_{x_2}(0,z) = \n (");
for(i=0;i<n-1;i++)
printf(" %15.10f ,",tensors[i][add[3]]);
printf(" %15.10f )\n\n",tensors[n-1][add[3]]);
printf(" Fh^{-1}_{x_3}(0,z) = \n (");
for(i=0;i<n-1;i++)
printf(" %15.10f ,",tensors[i][add[4]]);
printf(" %15.10f )\n",tensors[n-1][add[4]]);
return 1;
}
/****************************************************************************/
/* THAT'S ALL */
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