From 23bf5e0903ae765e6d09bb86d5e0183d8dd4f5a6 Mon Sep 17 00:00:00 2001 From: AZEN-SGG Date: Wed, 7 May 2025 19:24:40 +0300 Subject: [PATCH] Add Kochubei's solve --- 2025.05.02/05Ex/Makefile | 42 +++ 2025.05.02/05Ex/init_f.c | 61 ++++ 2025.05.02/05Ex/init_f.h | 13 + 2025.05.02/05Ex/main.c | 49 +++ 2025.05.02/05Ex/solve.c | 70 ++++ 2025.05.02/05Ex/solve.h | 10 + 2025.05.02/09Ex/Makefile | 42 +++ 2025.05.02/09Ex/init_f.c | 61 ++++ 2025.05.02/09Ex/init_f.h | 13 + 2025.05.02/09Ex/main.c | 66 ++++ 2025.05.02/09Ex/solve.c | 68 ++++ 2025.05.02/09Ex/solve.h | 12 + 2025.05.02/dist/Kochubei_DS/Makefile | 38 ++ 2025.05.02/dist/Kochubei_DS/a01.c | 55 +++ 2025.05.02/dist/Kochubei_DS/a02.c | 48 +++ 2025.05.02/dist/Kochubei_DS/a03.c | 55 +++ 2025.05.02/dist/Kochubei_DS/a04.c | 55 +++ 2025.05.02/dist/Kochubei_DS/a05.c | 55 +++ 2025.05.02/dist/Kochubei_DS/a06.c | 64 ++++ 2025.05.02/dist/Kochubei_DS/a07.c | 47 +++ 2025.05.02/dist/Kochubei_DS/a08.c | 55 +++ 2025.05.02/dist/Kochubei_DS/a09.c | 55 +++ 2025.05.02/dist/Kochubei_DS/a10.c | 55 +++ 2025.05.02/dist/Kochubei_DS/add.c | 167 +++++++++ 2025.05.02/dist/Kochubei_DS/add.h | 37 ++ 2025.05.02/dist/Kochubei_DS/solve.c | 515 +++++++++++++++++++++++++++ 2025.05.02/dist/Kochubei_DS/solve.h | 19 + 2025.05.09/Tasks11.pdf | Bin 0 -> 100896 bytes 28 files changed, 1827 insertions(+) create mode 100644 2025.05.02/05Ex/Makefile create mode 100644 2025.05.02/05Ex/init_f.c create mode 100644 2025.05.02/05Ex/init_f.h create mode 100644 2025.05.02/05Ex/main.c create mode 100644 2025.05.02/05Ex/solve.c create mode 100644 2025.05.02/05Ex/solve.h create mode 100644 2025.05.02/09Ex/Makefile create mode 100644 2025.05.02/09Ex/init_f.c create mode 100644 2025.05.02/09Ex/init_f.h create mode 100644 2025.05.02/09Ex/main.c create mode 100644 2025.05.02/09Ex/solve.c create mode 100644 2025.05.02/09Ex/solve.h create mode 100644 2025.05.02/dist/Kochubei_DS/Makefile create mode 100644 2025.05.02/dist/Kochubei_DS/a01.c create mode 100644 2025.05.02/dist/Kochubei_DS/a02.c create mode 100644 2025.05.02/dist/Kochubei_DS/a03.c create mode 100644 2025.05.02/dist/Kochubei_DS/a04.c create mode 100644 2025.05.02/dist/Kochubei_DS/a05.c create mode 100644 2025.05.02/dist/Kochubei_DS/a06.c create mode 100644 2025.05.02/dist/Kochubei_DS/a07.c create mode 100644 2025.05.02/dist/Kochubei_DS/a08.c create mode 100644 2025.05.02/dist/Kochubei_DS/a09.c create mode 100644 2025.05.02/dist/Kochubei_DS/a10.c create mode 100644 2025.05.02/dist/Kochubei_DS/add.c create mode 100644 2025.05.02/dist/Kochubei_DS/add.h create mode 100644 2025.05.02/dist/Kochubei_DS/solve.c create mode 100644 2025.05.02/dist/Kochubei_DS/solve.h create mode 100644 2025.05.09/Tasks11.pdf diff --git a/2025.05.02/05Ex/Makefile b/2025.05.02/05Ex/Makefile new file mode 100644 index 0000000..7539a54 --- /dev/null +++ b/2025.05.02/05Ex/Makefile @@ -0,0 +1,42 @@ +WFLAGS = -fstack-protector-all -W -Wall -Wextra -Wunused \ +-Wempty-body -Wlogical-op -Wold-style-declaration -Wmissing-parameter-type \ +-Wignored-qualifiers -Winit-self -Wshadow -Wtype-limits \ +-Wpointer-arith -Wformat-security -Wmissing-format-attribute -Wformat=1 \ +-Wdeclaration-after-statement -Wbad-function-cast -Wnested-externs \ +-Wmissing-prototypes -Wmissing-declarations -Wold-style-definition \ +-Wcast-align -Werror -pedantic -pedantic-errors -Wfloat-equal \ +-Wwrite-strings -Wno-long-long -std=gnu99 -Wstrict-prototypes \ +-Wmissing-field-initializers -Wpointer-sign + +LDFLAGS = -std=gnu99 -mfpmath=sse -O3 +LDLIBS = -lm + +ifeq ($(OS),Windows_NT) + EXE = exe + CLEAN = del + LDLIBS += -lssp +else + EXE = out + CLEAN = rm -f +endif + +TARGET = a015.$(EXE) +OBJ = main.o solve.o init_f.o + +%.o: %.c + gcc $(WFLAGS) $(LDFLAGS) -c $< -o $@ + +$(TARGET): $(OBJ) + gcc $^ -o $@ $(LDLIBS) + +# Отладочная сборка (gdb) +gdb: LDFLAGS = -std=gnu99 -mfpmath=sse -g -O0 +gdb: clean $(TARGET) + +# Профилировочная сборка (gprof) +prof: LDFLAGS += -pg +prof: LDLIBS += -pg +prof: clean $(TARGET) + +clean: + $(CLEAN) *.o *$(EXE) diff --git a/2025.05.02/05Ex/init_f.c b/2025.05.02/05Ex/init_f.c new file mode 100644 index 0000000..22eb5ea --- /dev/null +++ b/2025.05.02/05Ex/init_f.c @@ -0,0 +1,61 @@ +#include "init_f.h" + +#include + + +static int cl = 0; + +int get_call_count (void) +{ + return cl; +} + +double f0 (double x) +{ + cl++; + (void)x; + + return 1; +} + +double f1 (double x) +{ + cl++; + return (x * 1e-100) - 1.0; +} + +double f2 (double x) +{ + cl++; + return 4 - x * x; +} + +double f3 (double x) +{ + double x_2 = x * x; + cl++; + + return x * x_2 + 3 * x_2 + 16; +} + +double f4 (double x) +{ + double x_2 = x * x; + cl++; + + return 3 - 2 * x_2 - x_2 * x_2; +} + +double f5 (double x) +{ + cl++; + return sqrt(fabs(x) + 1) - 2; +} + +double f6 (double x) +{ + cl++; + return sqrt(sqrt(fabs(x) + 1) + 1) - 2; +} + + diff --git a/2025.05.02/05Ex/init_f.h b/2025.05.02/05Ex/init_f.h new file mode 100644 index 0000000..ee5e8e8 --- /dev/null +++ b/2025.05.02/05Ex/init_f.h @@ -0,0 +1,13 @@ +#ifndef INIT_F_H +#define INIT_F_H + +int get_call_count (void); +double f0 (double x); +double f1 (double x); +double f2 (double x); +double f3 (double x); +double f4 (double x); +double f5 (double x); +double f6 (double x); + +#endif diff --git a/2025.05.02/05Ex/main.c b/2025.05.02/05Ex/main.c new file mode 100644 index 0000000..442f122 --- /dev/null +++ b/2025.05.02/05Ex/main.c @@ -0,0 +1,49 @@ +#include +#include +#include + +#include "init_f.h" +#include "solve.h" + +/* ./a.out a b eps M k */ +int main(int argc, char *argv[]) +{ + double t, a, b, eps, x = 0; + int m, k, cl, it, task = 1; + + double (*f) (double); + double (*f_lst[]) (double) = {f0, f1, f2, f3, f4, f5, f6}; + int len_f = sizeof(f_lst) / sizeof(f_lst[0]); + + if ( + !((argc == 6) && + sscanf(argv[1], "%lf", &a) == 1 && + sscanf(argv[2], "%lf", &b) == 1 && + (a <= b) && + (sscanf(argv[3], "%lf", &eps) == 1 && (eps >= 0)) && + ((sscanf(argv[4], "%d", &m) == 1) && m > 0) && + ((sscanf(argv[5], "%d", &k) == 1) && ((0 <= k) && (k <= len_f)))) + ) { + fprintf(stderr, "Usage: %s a b eps M k\n", argv[0]); + return -1; + } + + f = f_lst[k]; + + t = clock(); + it = t1_solve(f, a, b, eps, m, &x); + t = (clock() - t) / CLOCKS_PER_SEC; + + cl = get_call_count(); + + if (it < 0) + { + fprintf(stdout, "%s : Task = %d NOT FOUND Count = %d T = %.2f\n", argv[0], task, cl, t); + return -2; + } else + { + printf("%s : Task = %d X = %e Res = %e Its = %d Count = %d T = %.2f\n", argv[0], task, x, f(x), it, cl, t); + return 0; + } +} + diff --git a/2025.05.02/05Ex/solve.c b/2025.05.02/05Ex/solve.c new file mode 100644 index 0000000..2339c5d --- /dev/null +++ b/2025.05.02/05Ex/solve.c @@ -0,0 +1,70 @@ +#include "solve.h" + +#include +#include +#include +#include +#include + +int t1_solve ( + double (*f) (double), + double a, double b, + double eps, int m, double *x +) { + int it = 0; + uint64_t bits; + double c = DBL_MAX, y, y_a = f(a), y_b = f(b); + bool sgn_a, sgn_b, sgn_c; + + memcpy(&bits, &y_a, sizeof(bits)); + sgn_a = (bits >> 63) & 1; + memcpy(&bits, &y_b, sizeof(bits)); + sgn_b = (bits >> 63) & 1; + + if (fabs(y_a) - eps < DBL_EPSILON) + { + *x = a; + return 1; + } if (fabs(y_b) - eps < DBL_EPSILON) + { + *x = b; + return 1; + } + + if (sgn_a == sgn_b) + { + *x = DBL_MAX; + return -1; + } + + for (it = 1; it <= m; ++it) + { + c = (a + b) * 0.5; + y = f(c); + + memcpy(&bits, &y, sizeof(bits)); + sgn_c = (bits >> 63) & 1; + + if (fabs(y) - eps < DBL_EPSILON) + break; + else if ((fabs(c - a) < DBL_EPSILON) || (fabs(c - b) < DBL_EPSILON)) + it = m+1; + else if (sgn_c == sgn_a) + { + a = c; + y_a = y; + } else if (sgn_c == sgn_b) + { + b = c; + y_b = y; + } + } + + if (it > m) + it = -1; + + *x = c; + + return it; +} + diff --git a/2025.05.02/05Ex/solve.h b/2025.05.02/05Ex/solve.h new file mode 100644 index 0000000..9b10deb --- /dev/null +++ b/2025.05.02/05Ex/solve.h @@ -0,0 +1,10 @@ +#ifndef SOLVE_H +#define SOLVE_H + +int t1_solve ( + double (*f) (double), + double a, double b, + double eps, int m, double *x + ); + +#endif diff --git a/2025.05.02/09Ex/Makefile b/2025.05.02/09Ex/Makefile new file mode 100644 index 0000000..be81189 --- /dev/null +++ b/2025.05.02/09Ex/Makefile @@ -0,0 +1,42 @@ +WFLAGS = -fstack-protector-all -W -Wall -Wextra -Wunused \ +-Wempty-body -Wlogical-op -Wold-style-declaration -Wmissing-parameter-type \ +-Wignored-qualifiers -Winit-self -Wshadow -Wtype-limits \ +-Wpointer-arith -Wformat-security -Wmissing-format-attribute -Wformat=1 \ +-Wdeclaration-after-statement -Wbad-function-cast -Wnested-externs \ +-Wmissing-prototypes -Wmissing-declarations -Wold-style-definition \ +-Wcast-align -Werror -pedantic -pedantic-errors -Wfloat-equal \ +-Wwrite-strings -Wno-long-long -std=gnu99 -Wstrict-prototypes \ +-Wmissing-field-initializers -Wpointer-sign + +LDFLAGS = -std=gnu99 -mfpmath=sse -O3 +LDLIBS = -lm + +ifeq ($(OS),Windows_NT) + EXE = exe + CLEAN = del + LDLIBS += -lssp +else + EXE = out + CLEAN = rm -f +endif + +TARGET = a09.$(EXE) +OBJ = main.o solve.o init_f.o + +%.o: %.c + gcc $(WFLAGS) $(LDFLAGS) -c $< -o $@ + +$(TARGET): $(OBJ) + gcc $^ -o $@ $(LDLIBS) + +# Отладочная сборка (gdb) +gdb: LDFLAGS = -std=gnu99 -mfpmath=sse -g -O0 +gdb: clean $(TARGET) + +# Профилировочная сборка (gprof) +prof: LDFLAGS += -pg +prof: LDLIBS += -pg +prof: clean $(TARGET) + +clean: + $(CLEAN) *.o *$(EXE) diff --git a/2025.05.02/09Ex/init_f.c b/2025.05.02/09Ex/init_f.c new file mode 100644 index 0000000..22eb5ea --- /dev/null +++ b/2025.05.02/09Ex/init_f.c @@ -0,0 +1,61 @@ +#include "init_f.h" + +#include + + +static int cl = 0; + +int get_call_count (void) +{ + return cl; +} + +double f0 (double x) +{ + cl++; + (void)x; + + return 1; +} + +double f1 (double x) +{ + cl++; + return (x * 1e-100) - 1.0; +} + +double f2 (double x) +{ + cl++; + return 4 - x * x; +} + +double f3 (double x) +{ + double x_2 = x * x; + cl++; + + return x * x_2 + 3 * x_2 + 16; +} + +double f4 (double x) +{ + double x_2 = x * x; + cl++; + + return 3 - 2 * x_2 - x_2 * x_2; +} + +double f5 (double x) +{ + cl++; + return sqrt(fabs(x) + 1) - 2; +} + +double f6 (double x) +{ + cl++; + return sqrt(sqrt(fabs(x) + 1) + 1) - 2; +} + + diff --git a/2025.05.02/09Ex/init_f.h b/2025.05.02/09Ex/init_f.h new file mode 100644 index 0000000..ee5e8e8 --- /dev/null +++ b/2025.05.02/09Ex/init_f.h @@ -0,0 +1,13 @@ +#ifndef INIT_F_H +#define INIT_F_H + +int get_call_count (void); +double f0 (double x); +double f1 (double x); +double f2 (double x); +double f3 (double x); +double f4 (double x); +double f5 (double x); +double f6 (double x); + +#endif diff --git a/2025.05.02/09Ex/main.c b/2025.05.02/09Ex/main.c new file mode 100644 index 0000000..b7efc26 --- /dev/null +++ b/2025.05.02/09Ex/main.c @@ -0,0 +1,66 @@ +#include +#include +#include + +#include "init_f.h" +#include "status.h" +#include "solve.h" + +/* ./a.out a b eps M k */ +int main(int argc, char *argv[]) +{ + double t, a, b, eps, x = 0; + int m, k, cl, it = 0, task = 1; + status ret; + + double (*f) (double); + double (*f_lst[]) (double) = {f0, f1, f2, f3, f4, f5, f6, sin}; // TODO: Remove sin + int len_f = sizeof(f_lst) / sizeof(f_lst[0]); + + if ( + !((argc == 6) && + sscanf(argv[1], "%lf", &a) == 1 && + sscanf(argv[2], "%lf", &b) == 1 && + (a <= b) && + sscanf(argv[3], "%lf", &eps) == 1 && + ((sscanf(argv[4], "%d", &m) == 1) && m > 0) && + ((sscanf(argv[5], "%d", &k) == 1) && ((0 <= k) && (k <= len_f)))) + ) { + fprintf(stderr, "Usage: %s a b eps M k\n", argv[0]); + return 1; + } + + f = f_lst[k]; + + t = clock(); + ret = t1_solve(f, a, b, eps, m, &x, &it); + t = (clock() - t) / CLOCKS_PER_SEC; + + cl = get_call_count(); + + + do { + switch (ret) + { + case SUCCESS: + continue; + case RUN_TIME: + fprintf(stderr, "Error: with code %d - Not enough iterations!\n", ret); + break; + case MORE_ONE_ROOT: + fprintf(stderr, "Error: with code %d - The same signs on the boundaries of the segment!\n", ret); + break; + case HIGH_ERROR: + fprintf(stderr, "Error: with code %d - The solution was found with a high error rate!\n", ret); + break; + } + + fprintf(stdout, "%s : Task = %d NOT FOUND Count = %d T = %.2f\n", argv[0], task, cl, t); + return ret; + } while (0); + + printf("%s : Task = %d X = %e Res = %e Its = %d Count = %d T = %.2f\n", argv[0], task, x, f(x), it, cl, t); + + return 0; +} + diff --git a/2025.05.02/09Ex/solve.c b/2025.05.02/09Ex/solve.c new file mode 100644 index 0000000..b521149 --- /dev/null +++ b/2025.05.02/09Ex/solve.c @@ -0,0 +1,68 @@ +#include "solve.h" +#include "status.h" + +#include +#include +#include +#include +#include + +int t9_solve ( + double (*f) (double), + double a, double b, + double eps, int m, double *x +) { + int it = 0; + double c = DBL_MAX, y, y_a = f(a), y_b = f(b); + + if (fabs(y_a) - eps < DBL_EPSILON) + { + *x = a; + return SUCCESS; + } if (fabs(y_b) - eps < DBL_EPSILON) + { + *x = b; + return SUCCESS; + } + + if (sgn_a == sgn_b) + { + *x = DBL_MAX; + return MORE_ONE_ROOT; + } + + for (it = 0; it < m; ++it) + { + c = (a + b) * 0.5; + y = f(c); + + memcpy(&bits, &y, sizeof(bits)); + sgn_c = (bits >> 63) & 1; + + if (fabs(y) - eps < DBL_EPSILON) + { + ret = SUCCESS; + break; + } else if ((fabs(c - a) < DBL_EPSILON) || (fabs(c - b) < DBL_EPSILON)) + { + ret = HIGH_ERROR; + break; + } else if (sgn_c == sgn_a) + { + a = c; + y_a = y; + } else if (sgn_c == sgn_b) + { + b = c; + y_b = y; + } + } + + if (it >= m) + ret = RUN_TIME; + + *x = c; + + return ret; +} + diff --git a/2025.05.02/09Ex/solve.h b/2025.05.02/09Ex/solve.h new file mode 100644 index 0000000..d57ce24 --- /dev/null +++ b/2025.05.02/09Ex/solve.h @@ -0,0 +1,12 @@ +#ifndef SOLVE_H +#define SOLVE_H + +#include "status.h" + +status t1_solve ( + double (*f) (double), + double a, double b, + double eps, int m, double *x, int *m_it + ); + +#endif diff --git a/2025.05.02/dist/Kochubei_DS/Makefile b/2025.05.02/dist/Kochubei_DS/Makefile new file mode 100644 index 0000000..0b3f97f --- /dev/null +++ b/2025.05.02/dist/Kochubei_DS/Makefile @@ -0,0 +1,38 @@ +OPTS = -mfpmath=sse -fstack-protector-all -W -Wall -Wextra -Wunused -Wcast-align -Werror -pedantic -pedantic-errors -Wfloat-equal -Wpointer-arith -Wformat-security -Wmissing-format-attribute -Wformat=1 -Wwrite-strings -Wcast-align -Wno-long-long -std=gnu99 -Wstrict-prototypes -Wmissing-prototypes -Wmissing-declarations -Wold-style-definition -Wdeclaration-after-statement -Wbad-function-cast -Wnested-externs -Wmaybe-uninitialized -Wempty-body -Wlogical-op -Wold-style-declaration -Wmissing-parameter-type -Wignored-qualifiers -Winit-self -Wshadow -Wtype-limits -Wstrict-prototypes -Wmissing-field-initializers -Wno-pointer-sign -Wswitch-default -O3 -lm + + +all: a01.out a02.out a03.out a04.out a05.out a06.out a07.out a08.out a09.out a10.out + +%.o: %.c + gcc -c $(OPTS) $< + +%.out: %.o + gcc $(OPTS) $^ -o $@ + +solve.o: solve.c solve.h +add.o: add.c add.h + +a01.o: a01.c solve.h add.h +a02.o: a02.c solve.h add.h +a03.o: a03.c solve.h add.h +a04.o: a04.c solve.h add.h +a05.o: a05.c solve.h add.h +a06.o: a06.c solve.h add.h +a07.o: a07.c solve.h add.h +a08.o: a08.c solve.h add.h +a09.o: a09.c solve.h add.h +a10.o: a10.c solve.h add.h + +a01.out: a01.o solve.o add.o +a02.out: a02.o solve.o add.o +a03.out: a03.o solve.o add.o +a04.out: a04.o solve.o add.o +a05.out: a05.o solve.o add.o +a06.out: a06.o solve.o add.o +a07.out: a07.o solve.o add.o +a08.out: a08.o solve.o add.o +a09.out: a09.o solve.o add.o +a10.out: a10.o solve.o add.o + +clean: + rm *.o *.out diff --git a/2025.05.02/dist/Kochubei_DS/a01.c b/2025.05.02/dist/Kochubei_DS/a01.c new file mode 100644 index 0000000..566478b --- /dev/null +++ b/2025.05.02/dist/Kochubei_DS/a01.c @@ -0,0 +1,55 @@ +#include +#include +#include +#include "add.h" +#include "solve.h" + +int main(int argc, char** argv) +{ + double a=0; + double b=0; + double e=0; + int M=0; + int k=0; + int res=0; + int count=0; + double x=0; + double t=0; + double (*f[7])(double) = {f0,f1,f2,f3,f4,f5,f6}; + if (argc!=6) + { + printf("Usage: %s a b e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + if (sscanf(argv[1], "%lf", &a)!=1 || sscanf(argv[2], "%lf", &b)!=1 || sscanf(argv[3], "%lf", &e)!=1 || sscanf(argv[4], "%d", &M)!=1 || sscanf(argv[5], "%d", &k)!=1) + { + printf("Usage: %s a b e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + if (k<0 || k>6) + { + printf("Usage: %s a b e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + e=fabs(e); + if (b +#include +#include +#include "add.h" +#include "solve.h" + +int main(int argc, char** argv) +{ + double x0=0; + double e=0; + int M=0; + int k=0; + int count=0; + double x=0; + double t=0; + int res=0; + double (*f[7])(double) = {f0,f1,f2,f3,f4,f5,f6}; + double (*d[7])(double) = {d0,d1,d2,d3,d4,d5,d6}; + if (argc!=5) + { + printf("Usage: %s x0 e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + if (sscanf(argv[1], "%lf", &x0)!=1 || sscanf(argv[2], "%lf", &e)!=1 || sscanf(argv[3], "%d", &M)!=1 || sscanf(argv[4], "%d", &k)!=1) + { + printf("Usage: %s x0 e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + if (k<0 || k>6) + { + printf("Usage: %s x0 e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + e=fabs(e); + t=clock(); + res=solve2(f[k], d[k], x0, e, M, &x); + t=(clock()-t)/CLOCKS_PER_SEC; + count=get_count(); + if (res<0) + { + printf ("%s : Task = %d NOT FOUND Count = %d T = %.2f\n", argv[0], 2, count, t); + } + else + { + printf ("%s : Task = %d X = %e Res = %e Its = %d Count = %d T = %.2f\n", argv[0], 2, x, f[k](x), res, count, t); + } + return 0; +} diff --git a/2025.05.02/dist/Kochubei_DS/a03.c b/2025.05.02/dist/Kochubei_DS/a03.c new file mode 100644 index 0000000..675ccf0 --- /dev/null +++ b/2025.05.02/dist/Kochubei_DS/a03.c @@ -0,0 +1,55 @@ +#include +#include +#include +#include "add.h" +#include "solve.h" + +int main(int argc, char** argv) +{ + double a=0; + double b=0; + double e=0; + int M=0; + int k=0; + int res=0; + int count=0; + double x=0; + double t=0; + double (*f[7])(double) = {f0,f1,f2,f3,f4,f5,f6}; + if (argc!=6) + { + printf("Usage: %s a b e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + if (sscanf(argv[1], "%lf", &a)!=1 || sscanf(argv[2], "%lf", &b)!=1 || sscanf(argv[3], "%lf", &e)!=1 || sscanf(argv[4], "%d", &M)!=1 || sscanf(argv[5], "%d", &k)!=1) + { + printf("Usage: %s a b e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + if (k<0 || k>6) + { + printf("Usage: %s a b e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + e=fabs(e); + if (b +#include +#include +#include "add.h" +#include "solve.h" + +int main(int argc, char** argv) +{ + double a=0; + double b=0; + double e=0; + int M=0; + int k=0; + int res=0; + int count=0; + double x=0; + double t=0; + double (*f[7])(double) = {f0,f1,f2,f3,f4,f5,f6}; + if (argc!=6) + { + printf("Usage: %s a b e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + if (sscanf(argv[1], "%lf", &a)!=1 || sscanf(argv[2], "%lf", &b)!=1 || sscanf(argv[3], "%lf", &e)!=1 || sscanf(argv[4], "%d", &M)!=1 || sscanf(argv[5], "%d", &k)!=1) + { + printf("Usage: %s a b e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + if (k<0 || k>6) + { + printf("Usage: %s a b e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + e=fabs(e); + if (b +#include +#include +#include "add.h" +#include "solve.h" + +int main(int argc, char** argv) +{ + double a=0; + double b=0; + double e=0; + int M=0; + int k=0; + int res=0; + int count=0; + double x=0; + double t=0; + double (*f[7])(double) = {f0,f1,f2,f3,f4,f5,f6}; + if (argc!=6) + { + printf("Usage: %s a b e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + if (sscanf(argv[1], "%lf", &a)!=1 || sscanf(argv[2], "%lf", &b)!=1 || sscanf(argv[3], "%lf", &e)!=1 || sscanf(argv[4], "%d", &M)!=1 || sscanf(argv[5], "%d", &k)!=1) + { + printf("Usage: %s a b e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + if (k<0 || k>6) + { + printf("Usage: %s a b e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + e=fabs(e); + if (b +#include +#include +#include +#include "add.h" +#include "solve.h" + +int main(int argc, char** argv) +{ + int m=0; + double a=0; + double b=0; + double e=0; + int M=0; + int k=0; + int res=0; + int count=0; + double x=0; + double t=0; + double* arr; + double (*f[7])(double) = {f0,f1,f2,f3,f4,f5,f6}; + if (argc!=7) + { + printf("Usage: %s m[>0] a b e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + if (sscanf(argv[1], "%d", &m)!=1 || sscanf(argv[2], "%lf", &a)!=1 || sscanf(argv[3], "%lf", &b)!=1 || sscanf(argv[4], "%lf", &e)!=1 || sscanf(argv[5], "%d", &M)!=1 || sscanf(argv[6], "%d", &k)!=1) + { + printf("Usage: %s m[>0] a b e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + if (k<0 || k>6) + { + printf("Usage: %s m[>0] a b e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + if (m<0) + { + printf("Usage: %s m[>0] a b e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + e=fabs(e); + if (b +#include +#include +#include "add.h" +#include "solve.h" + +int main(int argc, char** argv) +{ + double x0=0; + double e=0; + int M=0; + int k=0; + int count=0; + double x=0; + double t=0; + int res=0; + double (*f[7])(double) = {f0,f1,f2,f3,f4,f5,f6}; + if (argc!=5) + { + printf("Usage: %s x0 e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + if (sscanf(argv[1], "%lf", &x0)!=1 || sscanf(argv[2], "%lf", &e)!=1 || sscanf(argv[3], "%d", &M)!=1 || sscanf(argv[4], "%d", &k)!=1) + { + printf("Usage: %s x0 e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + if (k<0 || k>6) + { + printf("Usage: %s x0 e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + e=fabs(e); + t=clock(); + res=solve7(f[k], x0, e, M, &x); + t=(clock()-t)/CLOCKS_PER_SEC; + count=get_count(); + if (res<0) + { + printf ("%s : Task = %d NOT FOUND Count = %d T = %.2f\n", argv[0], 7, count, t); + } + else + { + printf ("%s : Task = %d X = %e Res = %e Its = %d Count = %d T = %.2f\n", argv[0], 7, x, f[k](x), res, count, t); + } + return 0; +} diff --git a/2025.05.02/dist/Kochubei_DS/a08.c b/2025.05.02/dist/Kochubei_DS/a08.c new file mode 100644 index 0000000..bde1715 --- /dev/null +++ b/2025.05.02/dist/Kochubei_DS/a08.c @@ -0,0 +1,55 @@ +#include +#include +#include +#include "add.h" +#include "solve.h" + +int main(int argc, char** argv) +{ + double a=0; + double b=0; + double e=0; + int M=0; + int k=0; + int res=0; + int count=0; + double x=0; + double t=0; + double (*f[7])(double) = {f0,f1,f2,f3,f4,f5,f6}; + if (argc!=6) + { + printf("Usage: %s a b e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + if (sscanf(argv[1], "%lf", &a)!=1 || sscanf(argv[2], "%lf", &b)!=1 || sscanf(argv[3], "%lf", &e)!=1 || sscanf(argv[4], "%d", &M)!=1 || sscanf(argv[5], "%d", &k)!=1) + { + printf("Usage: %s a b e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + if (k<0 || k>6) + { + printf("Usage: %s a b e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + e=fabs(e); + if (b +#include +#include +#include "add.h" +#include "solve.h" + +int main(int argc, char** argv) +{ + double a=0; + double b=0; + double e=0; + int M=0; + int k=0; + int res=0; + int count=0; + double x=0; + double t=0; + double (*f[7])(double) = {f0,f1,f2,f3,f4,f5,f6}; + if (argc!=6) + { + printf("Usage: %s a b e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + if (sscanf(argv[1], "%lf", &a)!=1 || sscanf(argv[2], "%lf", &b)!=1 || sscanf(argv[3], "%lf", &e)!=1 || sscanf(argv[4], "%d", &M)!=1 || sscanf(argv[5], "%d", &k)!=1) + { + printf("Usage: %s a b e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + if (k<0 || k>6) + { + printf("Usage: %s a b e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + e=fabs(e); + if (b +#include +#include +#include "add.h" +#include "solve.h" + +int main(int argc, char** argv) +{ + double a=0; + double b=0; + double e=0; + int M=0; + int k=0; + int res=0; + int count=0; + double x=0; + double t=0; + double (*f[7])(double) = {f0,f1,f2,f3,f4,f5,f6}; + if (argc!=6) + { + printf("Usage: %s a b e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + if (sscanf(argv[1], "%lf", &a)!=1 || sscanf(argv[2], "%lf", &b)!=1 || sscanf(argv[3], "%lf", &e)!=1 || sscanf(argv[4], "%d", &M)!=1 || sscanf(argv[5], "%d", &k)!=1) + { + printf("Usage: %s a b e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + if (k<0 || k>6) + { + printf("Usage: %s a b e[>0] M[>0] k[0-6]\n", argv[0]); + return -1; + } + e=fabs(e); + if (b +#include +#include +#include "add.h" + +static unsigned int count=0; + +inline unsigned int get_count(void) +{ + return count; +} + +double f0(double x) +{ + (void)x; + count++; + return 1; +} + +double f1(double x) +{ + count++; + return x-1e100; +} + +double f2(double x) +{ + count++; + return 4-x*x; +} + +double f3(double x) +{ + count++; + return x*x*x+3*x*x+16; +} + +double f4(double x) +{ + count++; + return 3-2*x*x-x*x*x*x; +} + +double f5(double x) +{ + count++; + return sqrt(fabs(x)+1)-2; +} + +double f6(double x) +{ + count++; + return sqrt(sqrt(fabs(x)+1)+1)-2; +} + +double d0(double x) +{ + (void)x; + return 0; +} + +double d1(double x) +{ + (void)x; + return 1; +} + +double d2(double x) +{ + return -2*x; +} + +double d3(double x) +{ + return 3*x*x+6*x; +} + +double d4(double x) +{ + return -4*x-4*x*x*x; +} + +double d5(double x) +{ + if (x>0) + { + return 1.0/2.0/sqrt(x+1); + } + else if (eq(x,0)) + { + return 0; + } + else + { + return -1.0/2.0/sqrt(1-x); + } +} + +double d6(double x) +{ + if (x>0) + { + double r=sqrt(x+1); + return 1.0/4.0/sqrt(r+1)/r; + } + else if (eq(x,0)) + { + return 0; + } + else + { + double r=sqrt(1-x); + return 1.0/4.0/sqrt(r+1)/r; + } +} + +inline int eq(double a, double b) +{ + long long int A=0; + long long int B=0; + memcpy(&A, &a, sizeof(a)); + memcpy(&B, &b, sizeof(b)); + return (A==B); +} + +inline int sign_eq(double a, double b) +{ + return (a>0 && b>0) || (a<0 && b<0); +} +inline int newton(double x, int n, double* a, double* b, double* ans) +{ + double res=0; + for (int j=0; jj; i--) + { + double dif=a[i]-a[i-j-1]; + if (eq(dif,0)) + { + return -1; + } + b[i]=(b[i]-b[i - 1])/dif; + } + } + for (int i=n-1; i>=0; i--) + { + res=res*(x-a[i])+b[i]; + } + *ans=res; + return 0; +} + +inline void parabola(double x1, double x2, double x3, double y1, double y2, double y3, double* A, double* B, double* C) +{ + double V=(x1-x2)*(x1-x3)*(x2-x3); + if (eq(x1,x2) || eq(x2,x3) || eq(x3,x1)) + { + *A=0; + *B=0; + *C=0; + return; + } + *A=(y1*x2-y1*x3-y2*x1+y3*x1+y2*x3-y3*x2)/V; + *B=(x2*x2*y3-x3*x3*y2-x1*x1*y3+x3*x3*y1+x1*x1*y2-x2*x2*y1)/V; + *C=(y1*x2*x3*(x2-x3)-y2*x1*x3*(x1-x3)+y3*x1*x2*(x1-x2))/V; + return; +} diff --git a/2025.05.02/dist/Kochubei_DS/add.h b/2025.05.02/dist/Kochubei_DS/add.h new file mode 100644 index 0000000..a70fe16 --- /dev/null +++ b/2025.05.02/dist/Kochubei_DS/add.h @@ -0,0 +1,37 @@ +double f0(double x); + +double f1(double x); + +double f2(double x); + +double f3(double x); + +double f4(double x); + +double f5(double x); + +double f6(double x); + +double d0(double x); + +double d1(double x); + +double d2(double x); + +double d3(double x); + +double d4(double x); + +double d5(double x); + +double d6(double x); + +int eq(double a, double b); + +int sign_eq(double a, double b); + +int newton(double x, int n, double* a, double* b, double* ans); + +unsigned int get_count(void); + +void parabola(double x1, double x2, double x3, double y1, double y2, double y3, double* A, double* B, double* C); diff --git a/2025.05.02/dist/Kochubei_DS/solve.c b/2025.05.02/dist/Kochubei_DS/solve.c new file mode 100644 index 0000000..141654f --- /dev/null +++ b/2025.05.02/dist/Kochubei_DS/solve.c @@ -0,0 +1,515 @@ +#include +#include +#include "add.h" +#include "solve.h" + +inline int solve1(double (*f) (double), double a, double b, double e, int M, double* x) +{ + double y1=0; + double y2=0; + if (eq(a,b)) + { + if (f(a)fabs(y)) + { + return -1; + } + /*/ + y=y_new; + } + return -1; +} + +inline int solve3(double (*f) (double), double a, double b, double e, int M, double* x) +{ + double y1=0; + double y2=0; + if (eq(a,b)) + { + if (f(a)a && c>b) + { + a=b; + y1=y2; + b=c; + y2=y3; + } + else if (c=a && p<=c) + { + a=p; + y1=y_p; + b=c; + y2=y3; + } + else if (p<=c && p<=b) + { + a=c; + y1=y3; + b=p; + y2=y_p; + } + else + { + a=b; + y1=y2; + b=p; + y2=y_p; + } + } + return -1; +} + +inline int solve6(double (*f) (double), int m, double* d, double a, double b, double e, int M, double *x) +{ + double y1=0; + double y2=0; + if (m<1) return -1; + if (eq(a,b)) + { + if (f(a)b) + { + a=b; + y1=y2; + b=p; + y2=y_p; + } + else + { + int pos=(p-a)/h; + a=a+pos*h; + y1=d[pos+(m+1)]; + b=a+(pos+1)*h; + y2=d[pos+1+(m+1)]; + } + } + return -1; +} + +inline int solve7(double (*f) (double), double x0, double e, int M, double* x) +{ + double last_x0=1e300; + for (int i=0; ifabs(x0-last_x0)) + { + return -1; + } + if (fabs(y-x0)=0) + { + return -1; + } + x_max=-B/2/A; + y_max=f(x_max); + if (x_maxa && x_maxc && x_maxb) + { + a=b; + y1=y2; + b=x_max; + y2=y_max; + } + else + { + *x=x_max; + return i; + } + if (b-arQtPbW&#ERdm}4o9v*0V8B;rR7YhPLW=a2wl^__=Hr8Qc5yN_w1xKAxYm-k$7VA%JSbOL+uXG*A-g_bp5V4kz{?O=^lnNP@?wp``+z^^E>=G+ z)s)5*FF)o_KP@V0$TA&%CF4upOmAJhZS6&-TRq6?=i2|fJ3Rq~s{;;hlqDN6u#dA3 z7RdOLJKG5M7Qv 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