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// 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;
}
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