Task 4 is done!

This commit is contained in:
AZEN-SGG 2025-04-30 21:24:42 +03:00
parent 62add41f64
commit 22ef2dda9b
18 changed files with 332 additions and 48 deletions

View file

@ -20,7 +20,7 @@ else
CLEAN = rm -f
endif
TARGET = a01.$(EXE)
TARGET = a04.$(EXE)
OBJ = main.o solve.o init_f.o
%.o: %.c

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@ -10,7 +10,7 @@
int main(int argc, char *argv[])
{
double t, a, b, eps, x = 0;
int m, k, cl, it = 0, task = 1;
int m, k, cl, it = 0, task = 4;
status ret;
double (*f) (double);
@ -22,7 +22,7 @@ int main(int argc, char *argv[])
sscanf(argv[1], "%lf", &a) == 1 &&
sscanf(argv[2], "%lf", &b) == 1 &&
(a <= b) &&
sscanf(argv[3], "%lf", &eps) == 1 &&
(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))))
) {
@ -33,7 +33,7 @@ int main(int argc, char *argv[])
f = f_lst[k];
t = clock();
ret = t1_solve(f, a, b, eps, m, &x, &it);
ret = t4_solve(f, a, b, eps, m, &x, &it);
t = (clock() - t) / CLOCKS_PER_SEC;
cl = get_call_count();
@ -48,11 +48,8 @@ int main(int argc, char *argv[])
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);
case EQUAL:
fprintf(stderr, "Error: with code %d - The dots degenerated into one!\n", ret);
break;
}

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@ -3,25 +3,15 @@
#include <math.h>
#include <float.h>
#include <stdbool.h>
#include <stdint.h>
#include <string.h>
status t1_solve (
status t4_solve (
double (*f) (double),
double a, double b,
double eps, int m, double *x, int *m_it
) {
int it = 0;
uint64_t bits;
status ret = SUCCESS;
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)
{
@ -31,38 +21,33 @@ status t1_solve (
{
*x = b;
return SUCCESS;
} if (fabs(fabs(y_b) - fabs(y_a)) < DBL_EPSILON)
{
*x = a;
return EQUAL;
}
if (sgn_a == sgn_b)
{
*x = DBL_MAX;
return MORE_ONE_ROOT;
}
for (it = 0; it < m; ++it)
{
c = (a + b) * 0.5;
c = b - ((b - a) / (y_b - y_a)) * y_b;
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)
} else if (fabs(y_a) - fabs(y_b) > DBL_EPSILON)
{
a = c;
y_a = y;
} else if (sgn_c == sgn_b)
} else if (fabs(y_b) - fabs(y_a) > DBL_EPSILON)
{
b = c;
y_b = y;
} else
{
ret = EQUAL;
break;
}
}

View file

@ -3,7 +3,7 @@
#include "status.h"
status t1_solve (
status t4_solve (
double (*f) (double),
double a, double b,
double eps, int m, double *x, int *m_it

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@ -3,9 +3,8 @@
typedef enum _status {
SUCCESS,
MORE_ONE_ROOT,
RUN_TIME,
HIGH_ERROR,
EQUAL,
} status;
#endif

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@ -57,6 +57,9 @@ int main(int argc, char *argv[])
case DIVERGE:
fprintf(stderr, "Error: with code %d - The function is diverging!\n", ret);
break;
case BOUNDARIES:
fprintf(stderr, "Error: with code %d - Goes beyond the boundaries!\n", ret);
break;
}
fprintf(stdout, "%s : Task = %d NOT FOUND Count = %d T = %.2f\n", argv[0], task, cl, t);

View file

@ -41,22 +41,22 @@ status t3_solve (
for (it = 0; it < m; ++it)
{
c = (y_a * b - y_b * a) / (y_a - y_b);
c = a - ((a - b) / (y_a - y_b)) * y_a;
y = f(c);
memcpy(&bits, &y, sizeof(bits));
sgn_c = (bits >> 63) & 1;
if (fabs(y) - eps < DBL_EPSILON)
if ((c - a < DBL_EPSILON) || (c - b > DBL_EPSILON))
{
ret = BOUNDARIES;
break;
} else 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;

View file

@ -7,6 +7,7 @@ typedef enum _status {
RUN_TIME,
HIGH_ERROR,
DIVERGE,
BOUNDARIES,
} status;
#endif

42
2025.05.02/04Ex/Makefile Normal file
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@ -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 ($(OS),Windows_NT)
EXE = exe
CLEAN = del
LDLIBS += -lssp
else
EXE = out
CLEAN = rm -f
endif
TARGET = a04.$(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)

61
2025.05.02/04Ex/init_f.c Normal file
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@ -0,0 +1,61 @@
#include "init_f.h"
#include <math.h>
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;
}

13
2025.05.02/04Ex/init_f.h Normal file
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@ -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

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@ -0,0 +1,16 @@
#ifndef IO_STATUS_H
#define IO_STATUS_H
#define ERR_MEM "Error: Not enough memory!"
#define ERR_OPEN "Error: Cannot open file"
#define ERR_READ "Error: Cannot read file"
#define ERR_FUNC "Error: Algorithm is not applicable!"
typedef enum _io_status
{
SUCCESS,
ERROR_OPEN,
ERROR_READ
} io_status;
#endif

64
2025.05.02/04Ex/main.c Normal file
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@ -0,0 +1,64 @@
#include <stdio.h>
#include <time.h>
#include <math.h>
#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 = 4;
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 && (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();
ret = t4_solve(f, a, b, eps, m, &x, &it);
t = (clock() - t) / CLOCKS_PER_SEC;
cl = get_call_count();
// printf("x = %e\tf(x) = %e\n", x, f(x));
do {
switch (ret)
{
case SUCCESS:
continue;
case RUN_TIME:
fprintf(stderr, "Error: with code %d - Not enough iterations!\n", ret);
break;
case EQUAL:
fprintf(stderr, "Error: with code %d - The dots degenerated into one!\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;
}

62
2025.05.02/04Ex/solve.c Normal file
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@ -0,0 +1,62 @@
#include "solve.h"
#include "status.h"
#include <math.h>
#include <float.h>
status t4_solve (
double (*f) (double),
double a, double b,
double eps, int m, double *x, int *m_it
) {
int it = 0;
status ret = SUCCESS;
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 (fabs(fabs(y_b) - fabs(y_a)) < DBL_EPSILON)
{
*x = a;
return EQUAL;
}
for (it = 0; it < m; ++it)
{
c = b - ((b - a) / (y_b - y_a)) * y_b;
y = f(c);
if (fabs(y) - eps < DBL_EPSILON)
{
ret = SUCCESS;
break;
} else if (fabs(y_a) - fabs(y_b) > DBL_EPSILON)
{
a = c;
y_a = y;
} else if (fabs(y_b) - fabs(y_a) > DBL_EPSILON)
{
b = c;
y_b = y;
} else
{
ret = EQUAL;
break;
}
}
if (it >= m)
ret = RUN_TIME;
*x = c;
*m_it = it;
return ret;
}

12
2025.05.02/04Ex/solve.h Normal file
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@ -0,0 +1,12 @@
#ifndef SOLVE_H
#define SOLVE_H
#include "status.h"
status t4_solve (
double (*f) (double),
double a, double b,
double eps, int m, double *x, int *m_it
);
#endif

10
2025.05.02/04Ex/status.h Normal file
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@ -0,0 +1,10 @@
#ifndef STATUS_H
#define STATUS_H
typedef enum _status {
SUCCESS,
RUN_TIME,
EQUAL,
} status;
#endif

19
2025.05.02/tests/find_str.sh Executable file
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@ -0,0 +1,19 @@
#!/bin/bash
# Проверяем, передан ли файл как аргумент
if [ $# -eq 0 ]; then
echo "Использование: $0 <имя_файла>"
exit 1
fi
input_file="$1"
# Проверяем существование файла
if [ ! -f "$input_file" ]; then
echo "Ошибка: файл '$input_file' не существует"
exit 1
fi
# Ищем строки с " Res = " и выводим их
grep " Res = " "$input_file" > found_str.log

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@ -14,13 +14,13 @@ for (( k = 3 ; k < 7; k++ )); do
for (( a = -100 ; a < -40 ; a++ )); do
for (( b = -9 ; b < 10 ; b++ )); do
echo "a = $a b = $b Iter = $iter ---"
sudo taskset -c $2 nice -n -20 ./a0$1.out "$(echo "$a / 10" | bc -l)" "$(echo "$b / 10" | bc -l)" 1e-16 $iter $k
./a0$1.out "$(echo "$a / 10" | bc -l)" "$(echo "$b / 10" | bc -l)" 1e-16 $iter $k
done
done
for (( a = -9 ; a < 10 ; a++ )); do
for (( b = 11 ; b < 100 ; b++ )); do
echo "a = $a b = $b Iter = $iter ---"
sudo taskset -c $2 nice -n -20 ./a0$1.out "$(echo "$a / 10" | bc -l)" "$(echo "$b / 10" | bc -l)" 1e-16 $iter $k
./a0$1.out "$(echo "$a / 10" | bc -l)" "$(echo "$b / 10" | bc -l)" 1e-16 $iter $k
done
done
done >$(pwd)/tests/out_$script_name.log 2>$(pwd)/tests/err_$script_name.log