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bicubic_int.c
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Fri, Nov 29, 13:49

bicubic_int.c
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#include <stdio.h>
#include "fonction.h"
#include "lt.h"
void bicubic_int_z(double y[], double y1[], double y2[], double y12[],
double x1l, double x1u, double x2l, double x2u,
double x1, double x2,
double *ansy)
{
int i;
double t, u, d1, d2, **c;
c = alloc_square_double(4, 4);
d1 = x1u - x1l;
d2 = x2u - x2l;
bicubic_coef(y, y1, y2, y12, d1, d2, c);
if (x1u == x1l || x2u == x2l)
fprintf(stderr, "Bad input in routine bicubic_int");
t = (x1 - x1l) / d1;
u = (x2 - x2l) / d2;
*ansy = 0.0;
for (i = 3; i >= 0; i--)
*ansy = t * (*ansy) + ((c[i][3] * u + c[i][2]) * u + c[i][1]) * u + c[i][0];
free_square_double(c, 4);
}
/* gradient */
void bicubic_int_zz(double y[], double y1[], double y2[], double y12[],
double x1l, double x1u, double x2l, double x2u,
double x1, double x2,
double *ansy1, double *ansy2)
{
int i;
double t, u, d1, d2, **c;
c = alloc_square_double(4, 4);
d1 = x1u - x1l;
d2 = x2u - x2l;
bicubic_coef(y, y1, y2, y12, d1, d2, c);
if (x1u == x1l || x2u == x2l)
fprintf(stderr, "Bad input in routine bicubic_int");
t = (x1 - x1l) / d1;
u = (x2 - x2l) / d2;
(*ansy2) = (*ansy1) = 0.0;
for (i = 3; i >= 0; i--)
{
*ansy2 = t * (*ansy2) + (3.0 * c[i][3] * u + 2.0 * c[i][2]) * u + c[i][1];
*ansy1 = u * (*ansy1) + (3.0 * c[3][i] * t + 2.0 * c[2][i]) * t + c[1][i];
}
*ansy1 /= d1;
*ansy2 /= d2;
free_square_double(c, 4);
}
/* second derivatives */
void bicubic_int_zxy(double y[], double y1[], double y2[], double y12[],
double x1l, double x1u, double x2l, double x2u,
double x1, double x2,
double *ansy12)
{
int i;
double t, u, d1, d2, **c;
c = alloc_square_double(4, 4);
d1 = x1u - x1l;
d2 = x2u - x2l;
bicubic_coef(y, y1, y2, y12, d1, d2, c);
if (x1u == x1l || x2u == x2l)
fprintf(stderr, "Bad input in routine bicubic_int");
t = (x1 - x1l) / d1;
u = (x2 - x2l) / d2;
(*ansy12) = 0.;
for (i = 3; i >= 1; i--)
*ansy12 = t * (*ansy12) + (3.*i * c[i][3] * u + 2.*i * c[i][2]) * u + i * c[i][1];
*ansy12 /= (d1 * d2);
free_square_double(c, 4);
}
/* everything */
void bicubic_int(double y[], double y1[], double y2[], double y12[],
double x1l, double x1u, double x2l, double x2u,
double x1, double x2,
double *ansy, double *ansy1, double *ansy2,
double *ansy11, double *ansy12, double *ansy22)
{
int i;
double t, u, d1, d2, **c;
c = alloc_square_double(4, 4);
d1 = x1u - x1l;
d2 = x2u - x2l;
bicubic_coef(y, y1, y2, y12, d1, d2, c);
if (x1u == x1l || x2u == x2l)
fprintf(stderr, "Bad input in routine bicubic_int");
t = (x1 - x1l) / d1;
u = (x2 - x2l) / d2;
*ansy = (*ansy2) = (*ansy1) = 0.0;
(*ansy22) = (*ansy11) = 0.0;
for (i = 3; i >= 0; i--)
{
*ansy = t * (*ansy) + ((c[i][3] * u + c[i][2]) * u + c[i][1]) * u + c[i][0];
*ansy2 = t * (*ansy2) + (3.0 * c[i][3] * u + 2.0 * c[i][2]) * u + c[i][1];
*ansy1 = u * (*ansy1) + (3.0 * c[3][i] * t + 2.0 * c[2][i]) * t + c[1][i];
*ansy22 = t * (*ansy22) + (3.*c[i][3] * u + c[i][2]) * 2.;
*ansy11 = u * (*ansy11) + (3.*c[3][i] * t + c[2][i]) * 2.;
}
(*ansy12) = 0.;
for (i = 3; i >= 1; i--)
*ansy12 = t * (*ansy12) + (3.*i * c[i][3] * u + 2.*i * c[i][2]) * u + i * c[i][1];
*ansy1 /= d1;
*ansy2 /= d2;
*ansy11 /= (d1 * d1);
*ansy12 /= (d1 * d2);
*ansy22 /= (d2 * d2);
free_square_double(c, 4);
}

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