Task 12 started

This commit is contained in:
AZEN-SGG 2025-05-14 22:19:49 +03:00
parent ff85cc43fe
commit e0046e37ef
4 changed files with 32 additions and 23 deletions

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@ -20,7 +20,7 @@ else
CLEAN = rm -f CLEAN = rm -f
endif endif
TARGET = a08.$(EXE) TARGET = a12.$(EXE)
OBJ = main.o solve.o OBJ = main.o solve.o
%.o: %.c %.o: %.c

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@ -6,29 +6,30 @@
#include "init_f.h" #include "init_f.h"
#include "solve.h" #include "solve.h"
/* ./a08.out a b eps k */ /* ./a12.out a b eps k_x k_y */
int main (int argc, char *argv[]) int main (int argc, char *argv[])
{ {
double t, integral, a, b, eps; double t, integral, a, b, eps;
int k, n, calls, task = 8; int x, y, n, calls, task = 12;
double (*f_lst[]) (double) = {f0, f1, f2, f3, f4, f5, f6}; double (*f_lst[]) (double) = {f0, f1, f2, f3, f4, f5, f6};
int len_f = sizeof(f_lst) / sizeof(f_lst[0]); int len_f = sizeof(f_lst) / sizeof(f_lst[0]);
if ( if (
!((argc == 5) && !((argc == 6) &&
sscanf(argv[1], "%lf", &a) == 1 && sscanf(argv[1], "%lf", &a) == 1 &&
sscanf(argv[2], "%lf", &b) == 1 && sscanf(argv[2], "%lf", &b) == 1 &&
((sscanf(argv[3], "%lf", &eps) == 1) && (eps > 0)) && ((sscanf(argv[3], "%lf", &eps) == 1) && (eps > 0)) &&
((sscanf(argv[4], "%d", &k) == 1) && ((0 <= k) && (k < len_f)))) ((sscanf(argv[4], "%d", &x) == 1) && ((0 <= x) && (x < len_f))) &&
((sscanf(argv[5], "%d", &y) == 1) && ((0 <= y) && (y < len_f))))
) { ) {
fprintf(stderr, "Usage: %s a b eps k\n", argv[0]); fprintf(stderr, "Usage: %s a b eps k_x k_y\n", argv[0]);
return -1; return -1;
} }
t = clock(); t = clock();
n = t8_solve(f_lst[k], a, b, eps, &integral); n = t12_solve(f_lst[x], f_lst[y], a, b, eps, &integral);
t = (clock() - t) / CLOCKS_PER_SEC; t = (clock() - t) / CLOCKS_PER_SEC;
calls = get_call_count(); calls = get_call_count();

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@ -5,42 +5,49 @@
#define MAX_ITER 30 #define MAX_ITER 30
int t8_solve ( int t12_solve (
double (*f) (double), double (*xt) (double),
double (*yt) (double),
double a, double b, double a, double b,
double eps, double *res double eps, double *res
) { ) {
int it; int it;
double n = 1; int n = 1;
double h = (b - a); double h = (b - a) * 0.5;
double integ_n = (f(a) + f(b)) * h*0.5; double x = xt(b) - xt(a);
double y = yt(b) - yt(a);
double len_n = sqrt(x * x + y * y);
for (it = 1; it <= MAX_ITER; ++it) for (it = 1; it <= MAX_ITER; ++it)
{ {
double x = a + h*0.5; double t = a;
double integ_2n = 0; double tn = a + h;
double len_2n = 0;
for (int i = 0; i < n; i++) for (int i = 0; i < n; i++)
{ {
integ_2n += f(x); x = xt(tn) - xt(t);
x += h; y = yt(tn) - yt(t);
len_2n += sqrt(x * x + y * y);
t = tn;
tn += h;
} }
h *= 0.5; h *= 0.5;
integ_2n = integ_2n * h + integ_n * 0.5;
if (fabs(integ_2n - integ_n) < eps) if (fabs(len_2n - len_n) < eps)
break; break;
integ_n = integ_2n; len_n = len_2n;
n *= 2; n <<= 1;
} }
if (it > MAX_ITER) if (it > MAX_ITER)
return -1; return -1;
*res = integ_n; *res = len_n;
return n; return n;
} }

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@ -1,8 +1,9 @@
#ifndef SOLVE_H #ifndef SOLVE_H
#define SOLVE_H #define SOLVE_H
int t8_solve ( int t12_solve (
double (*f) (double), double (*x) (double),
double (*y) (double),
double a, double b, double a, double b,
double eps, double *res double eps, double *res
); );