Task 12 started
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parent
ff85cc43fe
commit
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4 changed files with 32 additions and 23 deletions
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@ -20,7 +20,7 @@ else
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CLEAN = rm -f
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CLEAN = rm -f
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endif
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endif
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TARGET = a08.$(EXE)
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TARGET = a12.$(EXE)
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OBJ = main.o solve.o
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OBJ = main.o solve.o
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%.o: %.c
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%.o: %.c
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@ -6,29 +6,30 @@
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#include "init_f.h"
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#include "init_f.h"
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#include "solve.h"
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#include "solve.h"
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/* ./a08.out a b eps k */
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/* ./a12.out a b eps k_x k_y */
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int main (int argc, char *argv[])
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int main (int argc, char *argv[])
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{
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{
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double t, integral, a, b, eps;
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double t, integral, a, b, eps;
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int k, n, calls, task = 8;
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int x, y, n, calls, task = 12;
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double (*f_lst[]) (double) = {f0, f1, f2, f3, f4, f5, f6};
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double (*f_lst[]) (double) = {f0, f1, f2, f3, f4, f5, f6};
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int len_f = sizeof(f_lst) / sizeof(f_lst[0]);
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int len_f = sizeof(f_lst) / sizeof(f_lst[0]);
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if (
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if (
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!((argc == 5) &&
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!((argc == 6) &&
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sscanf(argv[1], "%lf", &a) == 1 &&
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sscanf(argv[1], "%lf", &a) == 1 &&
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sscanf(argv[2], "%lf", &b) == 1 &&
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sscanf(argv[2], "%lf", &b) == 1 &&
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((sscanf(argv[3], "%lf", &eps) == 1) && (eps > 0)) &&
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((sscanf(argv[3], "%lf", &eps) == 1) && (eps > 0)) &&
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((sscanf(argv[4], "%d", &k) == 1) && ((0 <= k) && (k < len_f))))
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((sscanf(argv[4], "%d", &x) == 1) && ((0 <= x) && (x < len_f))) &&
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((sscanf(argv[5], "%d", &y) == 1) && ((0 <= y) && (y < len_f))))
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) {
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) {
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fprintf(stderr, "Usage: %s a b eps k\n", argv[0]);
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fprintf(stderr, "Usage: %s a b eps k_x k_y\n", argv[0]);
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return -1;
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return -1;
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}
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}
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t = clock();
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t = clock();
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n = t8_solve(f_lst[k], a, b, eps, &integral);
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n = t12_solve(f_lst[x], f_lst[y], a, b, eps, &integral);
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t = (clock() - t) / CLOCKS_PER_SEC;
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t = (clock() - t) / CLOCKS_PER_SEC;
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calls = get_call_count();
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calls = get_call_count();
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@ -5,42 +5,49 @@
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#define MAX_ITER 30
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#define MAX_ITER 30
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int t8_solve (
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int t12_solve (
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double (*f) (double),
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double (*xt) (double),
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double (*yt) (double),
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double a, double b,
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double a, double b,
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double eps, double *res
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double eps, double *res
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) {
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) {
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int it;
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int it;
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double n = 1;
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int n = 1;
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double h = (b - a);
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double h = (b - a) * 0.5;
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double integ_n = (f(a) + f(b)) * h*0.5;
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double x = xt(b) - xt(a);
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double y = yt(b) - yt(a);
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double len_n = sqrt(x * x + y * y);
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for (it = 1; it <= MAX_ITER; ++it)
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for (it = 1; it <= MAX_ITER; ++it)
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{
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{
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double x = a + h*0.5;
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double t = a;
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double integ_2n = 0;
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double tn = a + h;
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double len_2n = 0;
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for (int i = 0; i < n; i++)
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for (int i = 0; i < n; i++)
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{
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{
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integ_2n += f(x);
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x = xt(tn) - xt(t);
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x += h;
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y = yt(tn) - yt(t);
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len_2n += sqrt(x * x + y * y);
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t = tn;
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tn += h;
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}
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}
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h *= 0.5;
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h *= 0.5;
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integ_2n = integ_2n * h + integ_n * 0.5;
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if (fabs(integ_2n - integ_n) < eps)
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if (fabs(len_2n - len_n) < eps)
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break;
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break;
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integ_n = integ_2n;
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len_n = len_2n;
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n *= 2;
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n <<= 1;
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}
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}
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if (it > MAX_ITER)
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if (it > MAX_ITER)
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return -1;
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return -1;
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*res = integ_n;
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*res = len_n;
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return n;
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return n;
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}
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}
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@ -1,8 +1,9 @@
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#ifndef SOLVE_H
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#ifndef SOLVE_H
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#define SOLVE_H
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#define SOLVE_H
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int t8_solve (
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int t12_solve (
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double (*f) (double),
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double (*x) (double),
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double (*y) (double),
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double a, double b,
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double a, double b,
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double eps, double *res
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double eps, double *res
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);
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);
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