Absolutly wrong done Task 5
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42
2025.05.02/06Ex/Makefile
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42
2025.05.02/06Ex/Makefile
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WFLAGS = -fstack-protector-all -W -Wall -Wextra -Wunused \
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-Wempty-body -Wlogical-op -Wold-style-declaration -Wmissing-parameter-type \
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-Wignored-qualifiers -Winit-self -Wshadow -Wtype-limits \
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-Wpointer-arith -Wformat-security -Wmissing-format-attribute -Wformat=1 \
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-Wdeclaration-after-statement -Wbad-function-cast -Wnested-externs \
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-Wmissing-prototypes -Wmissing-declarations -Wold-style-definition \
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-Wcast-align -Werror -pedantic -pedantic-errors -Wfloat-equal \
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-Wwrite-strings -Wno-long-long -std=gnu99 -Wstrict-prototypes \
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-Wmissing-field-initializers -Wpointer-sign
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LDFLAGS = -std=gnu99 -mfpmath=sse -O3
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LDLIBS = -lm
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ifeq ($(OS),Windows_NT)
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EXE = exe
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CLEAN = del
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LDLIBS += -lssp
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else
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EXE = out
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CLEAN = rm -f
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endif
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TARGET = a06.$(EXE)
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OBJ = main.o solve.o init_f.o
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%.o: %.c
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gcc $(WFLAGS) $(LDFLAGS) -c $< -o $@
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$(TARGET): $(OBJ)
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gcc $^ -o $@ $(LDLIBS)
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# Отладочная сборка (gdb)
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gdb: LDFLAGS = -std=gnu99 -mfpmath=sse -g -O0
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gdb: clean $(TARGET)
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# Профилировочная сборка (gprof)
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prof: LDFLAGS += -pg
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prof: LDLIBS += -pg
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prof: clean $(TARGET)
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clean:
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$(CLEAN) *.o *$(EXE)
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61
2025.05.02/06Ex/init_f.c
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2025.05.02/06Ex/init_f.c
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#include "init_f.h"
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#include <math.h>
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static int cl = 0;
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int get_call_count (void)
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{
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return cl;
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}
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double f0 (double x)
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{
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cl++;
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(void)x;
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return 1;
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}
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double f1 (double x)
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{
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cl++;
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return (x * 1e-100) - 1.0;
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}
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double f2 (double x)
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{
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cl++;
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return 4 - x * x;
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}
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double f3 (double x)
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{
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double x_2 = x * x;
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cl++;
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return x * x_2 + 3 * x_2 + 16;
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}
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double f4 (double x)
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{
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double x_2 = x * x;
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cl++;
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return 3 - 2 * x_2 - x_2 * x_2;
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}
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double f5 (double x)
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{
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cl++;
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return sqrt(fabs(x) + 1) - 2;
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}
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double f6 (double x)
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{
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cl++;
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return sqrt(sqrt(fabs(x) + 1) + 1) - 2;
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}
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13
2025.05.02/06Ex/init_f.h
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2025.05.02/06Ex/init_f.h
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#ifndef INIT_F_H
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#define INIT_F_H
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int get_call_count (void);
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double f0 (double x);
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double f1 (double x);
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double f2 (double x);
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double f3 (double x);
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double f4 (double x);
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double f5 (double x);
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double f6 (double x);
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#endif
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49
2025.05.02/06Ex/main.c
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2025.05.02/06Ex/main.c
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#include <stdio.h>
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#include <time.h>
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#include <math.h>
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#include "init_f.h"
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#include "solve.h"
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/* ./a.out a b eps M k */
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int main(int argc, char *argv[])
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{
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double t, a, b, eps, x = 0;
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int m, k, cl, it, task = 1;
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double (*f) (double);
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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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if (
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!((argc == 6) &&
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sscanf(argv[1], "%lf", &a) == 1 &&
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sscanf(argv[2], "%lf", &b) == 1 &&
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(a <= b) &&
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(sscanf(argv[3], "%lf", &eps) == 1 && (eps >= 0)) &&
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((sscanf(argv[4], "%d", &m) == 1) && m > 0) &&
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((sscanf(argv[5], "%d", &k) == 1) && ((0 <= k) && (k <= len_f))))
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) {
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fprintf(stderr, "Usage: %s a b eps M k\n", argv[0]);
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return -1;
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}
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f = f_lst[k];
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t = clock();
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it = t1_solve(f, a, b, eps, m, &x);
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t = (clock() - t) / CLOCKS_PER_SEC;
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cl = get_call_count();
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if (it < 0)
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{
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fprintf(stdout, "%s : Task = %d NOT FOUND Count = %d T = %.2f\n", argv[0], task, cl, t);
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return -2;
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} else
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{
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printf("%s : Task = %d X = %e Res = %e Its = %d Count = %d T = %.2f\n", argv[0], task, x, f(x), it, cl, t);
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return 0;
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}
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}
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103
2025.05.02/06Ex/solve.c
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2025.05.02/06Ex/solve.c
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#include "solve.h"
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#include <math.h>
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#include <float.h>
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#include <stdbool.h>
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#include <stdint.h>
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#include <string.h>
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int t1_solve (
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double (*f) (double),
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double a, double b,
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double eps, int m, double *x
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) {
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int it = 0;
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uint64_t bits;
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double c = DBL_MAX, y, y_a = f(a), y_b = f(b);
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bool sgn_a, sgn_b, sgn_c;
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memcpy(&bits, &y_a, sizeof(bits));
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sgn_a = (bits >> 63) & 1;
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memcpy(&bits, &y_b, sizeof(bits));
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sgn_b = (bits >> 63) & 1;
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if (fabs(y_a) - eps < DBL_EPSILON)
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{
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*x = a;
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return 1;
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} if (fabs(y_b) - eps < DBL_EPSILON)
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{
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*x = b;
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return 1;
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}
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if (sgn_a == sgn_b)
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{
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*x = DBL_MAX;
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return -1;
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}
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for (it = 1; it <= m; ++it)
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{
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c = (a + b) * 0.5;
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y = f(c);
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memcpy(&bits, &y, sizeof(bits));
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sgn_c = (bits >> 63) & 1;
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if (fabs(y) - eps < DBL_EPSILON)
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break;
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else if ((fabs(c - a) < DBL_EPSILON) || (fabs(c - b) < DBL_EPSILON))
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it = m+1;
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else if (sgn_c == sgn_a)
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{
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a = c;
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y_a = y;
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} else if (sgn_c == sgn_b)
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{
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b = c;
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y_b = y;
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}
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}
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if (it > m)
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it = -1;
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*x = c;
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return it;
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}
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int t6_solve (
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double (*f) (double),
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const int m, double *d
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double a, double b,
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const double eps, const int M, double *x
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) {
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const int len = m + 1;
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double *y_lst = d;
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double *x_lst = d + len;
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double *t_lst = d + (len << 1);
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double last_x = a;
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double last_y = f(a);
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const int h = (b - a) / m;
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y_lst[0] = last_y;
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x_lst[0] = last_x;
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t_lst[0] = last_x;
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for (int i = 1, double t_x = a ; i < len ; i++, t_x += h)
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{
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double t_y = f(t_x);
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y_lst[i] = t_y;
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x_lst[i] = t_x;
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}
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}
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10
2025.05.02/06Ex/solve.h
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2025.05.02/06Ex/solve.h
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#ifndef SOLVE_H
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#define SOLVE_H
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int t1_solve (
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double (*f) (double),
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double a, double b,
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double eps, int m, double *x
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);
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#endif
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