90 lines
2.5 KiB
C
90 lines
2.5 KiB
C
// compile & test w/
|
|
// \--> gcc -I../inc/ -Wall hw_6_p_8.c ../lib/lizfcm.a -lm -o hw_6_p_8
|
|
// \--> ./hw_6_p_8
|
|
|
|
#include "lizfcm.h"
|
|
#include <math.h>
|
|
#include <stdio.h>
|
|
|
|
double a(double t) {
|
|
double alpha = 0.1;
|
|
double beta = 0.001;
|
|
double p_0 = 2;
|
|
double p_infty = 29.75;
|
|
|
|
return p_0 * exp(t * (alpha - beta)) - p_infty;
|
|
}
|
|
|
|
double b(double t) {
|
|
double alpha = 0.1;
|
|
double beta = 0.001;
|
|
double p_0 = 2;
|
|
double p_infty = 115.35;
|
|
|
|
return p_0 * exp(t * (alpha - beta)) - p_infty;
|
|
}
|
|
|
|
double c(double t) {
|
|
double alpha = 0.1;
|
|
double beta = 0.0001;
|
|
double p_0 = 2;
|
|
double p_infty = 115.35;
|
|
|
|
return p_0 * exp(t * (alpha - beta)) - p_infty;
|
|
}
|
|
|
|
double d(double t) {
|
|
double alpha = 0.01;
|
|
double beta = 0.001;
|
|
double p_0 = 2;
|
|
double p_infty = 155.346;
|
|
|
|
return p_0 * exp(t * (alpha - beta)) - p_infty;
|
|
}
|
|
|
|
double e(double t) {
|
|
double alpha = 0.1;
|
|
double beta = 0.01;
|
|
double p_0 = 100;
|
|
double p_infty = 155.346;
|
|
|
|
return p_0 * exp(t * (alpha - beta)) - p_infty;
|
|
}
|
|
|
|
int main() {
|
|
uint64_t max_iterations = 1000;
|
|
double tolerance = 0.0000001;
|
|
|
|
Array_double *ivt_range = find_ivt_range(&a, -5.0, 3.0, 1000);
|
|
double approx_a = fixed_point_secant_bisection_method(
|
|
&a, ivt_range->data[0], ivt_range->data[1], tolerance, max_iterations);
|
|
|
|
free_vector(ivt_range);
|
|
ivt_range = find_ivt_range(&b, -5.0, 3.0, 1000);
|
|
double approx_b = fixed_point_secant_bisection_method(
|
|
&b, ivt_range->data[0], ivt_range->data[1], tolerance, max_iterations);
|
|
|
|
free_vector(ivt_range);
|
|
ivt_range = find_ivt_range(&c, -5.0, 3.0, 1000);
|
|
double approx_c = fixed_point_secant_bisection_method(
|
|
&c, ivt_range->data[0], ivt_range->data[1], tolerance, max_iterations);
|
|
|
|
free_vector(ivt_range);
|
|
ivt_range = find_ivt_range(&d, -5.0, 3.0, 1000);
|
|
double approx_d = fixed_point_secant_bisection_method(
|
|
&d, ivt_range->data[0], ivt_range->data[1], tolerance, max_iterations);
|
|
|
|
free_vector(ivt_range);
|
|
ivt_range = find_ivt_range(&e, -5.0, 3.0, 1000);
|
|
double approx_e = fixed_point_secant_bisection_method(
|
|
&e, ivt_range->data[0], ivt_range->data[1], tolerance, max_iterations);
|
|
|
|
printf("a ~ %f; P(%f) - P_infty = %f\n", approx_a, approx_a, a(approx_a));
|
|
printf("b ~ %f; P(%f) - P_infty = %f\n", approx_b, approx_b, b(approx_b));
|
|
printf("c ~ %f; P(%f) - P_infty = %f\n", approx_c, approx_c, c(approx_c));
|
|
printf("d ~ %f; P(%f) - P_infty = %f\n", approx_d, approx_d, d(approx_d));
|
|
printf("e ~ %f; P(%f) - P_infty = %f\n", approx_e, approx_e, e(approx_e));
|
|
|
|
return 0;
|
|
}
|