8, 9, 10 tasks are done

This commit is contained in:
AZEN-SGG 2025-03-19 17:44:00 +03:00
parent 241f1bbc73
commit 509787808a
34 changed files with 1229 additions and 44 deletions

56
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@ -12,7 +12,7 @@ TARGET = a05.exe
OBJ = main.o array_io.o solve.o init_f.o
$(TARGET): $(OBJ)
gcc $(OBJ) -o $(TARGET) -lssp
gcc $(OBJ) -o $(TARGET) -lm -lssp
main.o: main.c

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1 2 3 4
4 25 2 1
1 2 3 4
4 3 2 1
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@ -1,7 +1,7 @@
#include "solve.h"
#include <math.h>
#define eps 1e-17
#include <float.h>
#include <stdio.h>
int t5_solve(double *a, int m, int n)
{
@ -14,8 +14,8 @@ int t5_solve(double *a, int m, int n)
for (int i = 0; i < m; i++)
if (i != j)
sum += fabs(a[i*n + j]);
if ((sum - maximum) > eps || j == 0) { maximum = sum; max_j = j; }
if ((sum - maximum) > DBL_EPSILON * fmax(fabs(maximum), fabs(sum))) { maximum = sum; max_j = j; }
}
for (int l = max_j+1, del_j = 1; l < m*n; l++)

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@ -9,10 +9,11 @@ CFLAGS = -mfpmath=sse -fstack-protector-all -W -Wall -Wextra -Wunused \
-Wmissing-field-initializers -Wpointer-sign -O3
TARGET = a08.exe
OBJ = main.o array_io.o solve.o init_f.o
OBJ = main.o array_io.o init_f.o
$(TARGET): $(OBJ)
gcc $(OBJ) -o $(TARGET) -lssp
$(TARGET): $(OBJ) solve.o slow.o
gcc $(OBJ) solve.o -o $(TARGET) -lssp
gcc $(OBJ) slow.o -o sa08.exe -lssp
main.o: main.c
gcc $(CFLAGS) -c main.c
@ -20,6 +21,9 @@ main.o: main.c
solve.o: solve.c
gcc $(CFLAGS) -c solve.c
slow.o: slow.c
gcc $(CFLAGS) -c slow.c
array_io.o: array_io.c
gcc $(CFLAGS) -c array_io.c

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@ -0,0 +1,49 @@
#include "solve.h"
#include <math.h>
#define eps 1e-17
int t8_solve(double *a, int m, int n)
{
int max_i = 0, max_j = 0;
double maximum = 0;
for (int j = 0; j < n; j++)
{
double sum_j = 0;
for (int k = 0; k < m; k++)
sum_j += fabs(a[k*n + j]);
for (int i = 0; i < m; i++)
{
double sum_i = 0;
sum_j -= fabs(a[i*n + j]);
for (int k = 0; k < n; k++) if (k != j)
sum_i += fabs(a[i*n + k]);
if (((sum_j + sum_i) - maximum) > eps)
maximum = (sum_j + sum_i), max_i = i, max_j = j;
sum_j += fabs(a[i*n + j]);
}
}
for (int l = max_j+1, del_j = 1; l < max_i*n; l++)
{
if (l == ((n * del_j) + max_j))
del_j++;
else
a[l - del_j] = a[l];
}
for (int l = (max_i+1)*n, del_j = max_i; l < m*n; l++)
{
if (l == ((n * (del_j + 1)) + max_j))
del_j++;
else
a[l - del_j - n] = a[l];
}
return max_i * n + max_j;
}

44
2025.03.21/08Ex/slow.c Normal file
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@ -0,0 +1,44 @@
#include "solve.h"
#include <math.h>
#define eps 1e-17
int t8_solve(double* a, int m, int n)
{
int i, j, k, ind_max_i = 0, ind_max_j = 0;
double sumstr = 0, sum, max = 0;
int l = 0;
if ((m == 0) || (n == 0)) return 0;
for (i = 0; i < m; i++)
{
sumstr = 0;
for (j = 0; j < n; j++) sumstr += fabs(a[i * n + j]);
for (j = 0; j < n; j++)
{
sum = sumstr;
for (k = 0; k < m; k++)
{
if (k == i) sum -= fabs(a[k * n + j]);
else sum += fabs(a[k * n + j]);
}
if (sum > max)
{
max = sum;
ind_max_i = i;
ind_max_j = j;
}
}
}
for (i = 0; i < m; i++)
{
for (j = 0; j < n; j++)
{
if ((j != ind_max_j) && (i != ind_max_i))
{
a[l] = a[i * n + j];
l++;
}
}
}
return ind_max_i * n + ind_max_j;
}

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@ -8,26 +8,48 @@ int t8_solve(double *a, int m, int n)
int max_i = 0, max_j = 0;
double maximum = 0;
for (int i = 0; i < m; i++)
{
double sum = 0;
for (int j = 0; j < n; j++)
if (i != j)
sum += fabs(a[i*n + j]);
if ((sum - maximum) > eps) { maximum = sum; max_i = i; }
}
for (int j = 0; j < n; j++)
{
double sum = 0;
double sum_j = 0;
for (int k = 0; k < m; k++)
sum_j += fabs(a[k*n + j]);
for (int i = 0; i < m; i++)
if (i != j)
sum += fabs(a[i*n + j]);
{
double sum_i = 0;
double aij = fabs(a[i*n + j]);
sum_j -= aij;
if ((sum - maximum) > eps) { maximum = sum; max_j = j; }
if (j == 0)
{
double num = a[i*n];
for (int k = 1; k < n; k++)
sum_i += fabs(a[i*n + k]);
a[i*n] = copysign(fabs(num) + sum_i, num);
}
else
sum_i = fabs(a[i*n]) - fabs(a[i*n + j]);
if (((sum_j + sum_i) - maximum) > eps)
maximum = (sum_j + sum_i), max_i = i, max_j = j;
sum_j += aij;
}
}
if (max_j != 0)
for (int i = 0; i < m; i++)
{
double orig = a[i*n];
double num = fabs(orig);
for (int j = 1; j < n; j++)
num -= fabs(a[i*n + j]);
a[i*n] = copysign(num, orig);
}
for (int l = max_j+1, del_j = 1; l < max_i*n; l++)
{
if (l == ((n * del_j) + max_j))

30
2025.03.21/09Ex/Makefile Normal file
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@ -0,0 +1,30 @@
CFLAGS = -mfpmath=sse -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 -O3
TARGET = a09.exe
OBJ = main.o solve.o array_io.o init_f.o
$(TARGET): $(OBJ)
gcc $(OBJ) -o $(TARGET) -lssp
main.o: main.c
gcc $(CFLAGS) -c main.c
solve.o: solve.c
gcc $(CFLAGS) -c solve.c
array_io.o: array_io.c
gcc $(CFLAGS) -c array_io.c
init_f.o: init_f.c
gcc $(CFLAGS) -c init_f.c
clean:
del *.o *.exe

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-6
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#include <stdio.h>
#include "array_io.h"
io_status read_matrix(double *a, int m, int n, const char *name)
{
int i, j;
FILE *fp;
if (!(fp = fopen(name, "r"))) return ERROR_OPEN;
for (i = 0; i < m; i++)
for (j = 0; j < n; j++)
if (fscanf(fp, "%lf", a + i * n + j) != 1)
{fclose(fp); return ERROR_READ;}
fclose(fp);
return SUCCESS;
}
void print_matrix(const double *a, int m, int n, int p)
{
int mp = (m > p ? p : m);
int np = (n > p ? p : n);
int i, j;
for (i = 0; i < mp; i++)
{
for (j = 0; j < np; j++)
printf(" %10.3e", a[i * n + j]);
printf("\n");
}
}
void init_matrix(double *a, int m, int n, int k)
{
double (*q)(int, int, int, int);
double (*f[])(int, int, int, int) = {f1, f2, f3, f4};
int i, j;
q = f[k-1];
for (i = 0; i < m; i++)
for (j = 0; j < n; j++)
a[i * n + j] = q(m, n, i+1, j+1);
}

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@ -0,0 +1,11 @@
#ifndef ARRAY_IO_H
#define ARRAY_IO_H
#include "io_status.h"
#include "init_f.h"
io_status read_matrix(double *a, int m, int n, const char *name);
void print_matrix(const double *a, int m, int n, int p);
void init_matrix(double *a, int m, int n, int k);
#endif

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2025.03.21/09Ex/init_f.c Normal file
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@ -0,0 +1,30 @@
#include "init_f.h"
#include <stdlib.h>
#define MAX(n, m) (n < m ? m : n)
double f1(int m, int n, int i, int j)
{
return MAX(n, m) - MAX(i, j) + 1;
}
double f2(int m, int n, int i, int j)
{
(void)n;
(void)m;
return MAX(i, j);
}
double f3(int m, int n, int i, int j)
{
(void)n;
(void)m;
return abs(i - j);
}
double f4(int m, int n, int i, int j)
{
(void)n;
(void)m;
return 1./(i+j-1);
}

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@ -0,0 +1,9 @@
#ifndef INIT_F_H
#define INIT_F_H
double f1(int m, int n, int i, int j);
double f2(int m, int n, int i, int j);
double f3(int m, int n, int i, int j);
double f4(int m, int n, int i, int j);
#endif

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@ -0,0 +1,13 @@
#ifndef IO_STATUS_H
#define IO_STATUS_H
#define LEN 1234
typedef enum _io_status
{
SUCCESS,
ERROR_OPEN,
ERROR_READ
} io_status;
#endif

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2025.03.21/09Ex/main.c Normal file
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@ -0,0 +1,67 @@
#include <stdio.h>
#include <stdlib.h>
#include <time.h>
#include "array_io.h"
#include "io_status.h"
#include "solve.h"
/* ./a.out m n p k [filename] */
int main(int argc, char *argv[])
{
double t, *a;
int m, n, p, k, res, task = 9;
char *name = 0;
if (!((argc == 5 || argc == 6) &&
sscanf(argv[1], "%d", &m) == 1 &&
sscanf(argv[2], "%d", &n) == 1 &&
sscanf(argv[3], "%d", &p) == 1 &&
sscanf(argv[4], "%d", &k) == 1 &&
k >= 0 && k <= 4 && (!(k == 0 && argc != 6))))
{
printf("Usage: %s m n p k [filename]\n", argv[0]);
return 1;
}
if (argc == 6) name = argv[5];
a = (double *)malloc(m * n * sizeof(double));
if (!a)
{
printf("Not enough memory\n");
return 2;
}
if (name)
{ /* из файла */
io_status ret;
ret = read_matrix(a, m, n, name);
do {
switch (ret)
{
case SUCCESS:
continue;
case ERROR_OPEN:
printf("Cannot open %s\n", name);
break;
case ERROR_READ:
printf("Cannot read %s\n", name);
}
free(a);
return 3;
} while (0);
} else init_matrix(a, m, n, k);
printf("Matrix:\n");
print_matrix(a, m, n, p);
t = clock();
res = t9_solve(a, m, n);
t = (clock() - t) / CLOCKS_PER_SEC;
printf("New matrix:\n");
print_matrix(a, m - 1, n - 1, p);
printf ("%s : Task = %d Result = %d Elapsed = %.2f\n", argv[0], task, res, t);
free(a);
return 0;
}

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2025.03.21/09Ex/solve.c Normal file
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@ -0,0 +1,45 @@
#include "solve.h"
#include <math.h>
#define eps 1e-17
int t9_solve(double *a, int m, int n)
{
int max_i = 0, max_j = 0;
double maximum = 0;
for (int j = 0; j < n; j++)
for (int i = 0; i < m; i++)
{
double sum_i = 0;
double sum_j = 0;
double aij = a[i*n + j];
for (int k = 0; k < n; k++) if (k != j)
sum_i += fabs(a[i*n + k] - aij);
for (int k = 0; k < m; k++) if (i != k)
sum_j += fabs(a[k*n + j] - aij);
if (((sum_j + sum_i) - maximum) > eps)
maximum = (sum_j + sum_i), max_i = i, max_j = j;
}
for (int l = max_j+1, del_j = 1; l < max_i*n; l++)
{
if (l == ((n * del_j) + max_j))
del_j++;
else
a[l - del_j] = a[l];
}
for (int l = (max_i+1)*n, del_j = max_i; l < m*n; l++)
{
if (l == ((n * (del_j + 1)) + max_j))
del_j++;
else
a[l - del_j - n] = a[l];
}
return max_i * n + max_j;
}

6
2025.03.21/09Ex/solve.h Normal file
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@ -0,0 +1,6 @@
#ifndef SOLVE_H
#define SOLVE_H
int t9_solve(double *a, int m, int n);
#endif

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2025.03.21/10Ex/Makefile Normal file
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@ -0,0 +1,30 @@
CFLAGS = -mfpmath=sse -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 -O3
TARGET = a10.exe
OBJ = main.o solve.o array_io.o init_f.o
$(TARGET): $(OBJ)
gcc $^ -o $@ -lm -lssp
main.o: main.c
gcc $(CFLAGS) -c $^
solve.o: solve.c
gcc $(CFLAGS) -c $^
array_io.o: array_io.c
gcc $(CFLAGS) -c $^
init_f.o: init_f.c
gcc $(CFLAGS) -c $^
clean:
del *.o *.exe

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-6
5
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5
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2
5
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7

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#include <stdio.h>
#include "array_io.h"
io_status read_matrix(double *a, int m, int n, const char *name)
{
int i, j;
FILE *fp;
if (!(fp = fopen(name, "r"))) return ERROR_OPEN;
for (i = 0; i < m; i++)
for (j = 0; j < n; j++)
if (fscanf(fp, "%lf", a + i * n + j) != 1)
{fclose(fp); return ERROR_READ;}
fclose(fp);
return SUCCESS;
}
void print_matrix(const double *a, int m, int n, int p)
{
int mp = (m > p ? p : m);
int np = (n > p ? p : n);
int i, j;
for (i = 0; i < mp; i++)
{
for (j = 0; j < np; j++)
printf(" %10.3e", a[i * n + j]);
printf("\n");
}
}
void init_matrix(double *a, int m, int n, int k)
{
double (*q)(int, int, int, int);
double (*f[])(int, int, int, int) = {f1, f2, f3, f4};
int i, j;
q = f[k-1];
for (i = 0; i < m; i++)
for (j = 0; j < n; j++)
a[i * n + j] = q(m, n, i+1, j+1);
}

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@ -0,0 +1,11 @@
#ifndef ARRAY_IO_H
#define ARRAY_IO_H
#include "io_status.h"
#include "init_f.h"
io_status read_matrix(double *a, int m, int n, const char *name);
void print_matrix(const double *a, int m, int n, int p);
void init_matrix(double *a, int m, int n, int k);
#endif

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2025.03.21/10Ex/init_f.c Normal file
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@ -0,0 +1,30 @@
#include "init_f.h"
#include <stdlib.h>
#define MAX(n, m) (n < m ? m : n)
double f1(int m, int n, int i, int j)
{
return MAX(n, m) - MAX(i, j) + 1;
}
double f2(int m, int n, int i, int j)
{
(void)n;
(void)m;
return MAX(i, j);
}
double f3(int m, int n, int i, int j)
{
(void)n;
(void)m;
return abs(i - j);
}
double f4(int m, int n, int i, int j)
{
(void)n;
(void)m;
return 1./(i+j-1);
}

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2025.03.21/10Ex/init_f.h Normal file
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#ifndef INIT_F_H
#define INIT_F_H
double f1(int m, int n, int i, int j);
double f2(int m, int n, int i, int j);
double f3(int m, int n, int i, int j);
double f4(int m, int n, int i, int j);
#endif

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#ifndef IO_STATUS_H
#define IO_STATUS_H
#define LEN 1234
typedef enum _io_status
{
SUCCESS,
ERROR_OPEN,
ERROR_READ
} io_status;
#endif

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#include <stdio.h>
#include <stdlib.h>
#include <time.h>
#include "array_io.h"
#include "io_status.h"
#include "solve.h"
/* ./a.out m n p k [filename] */
int main(int argc, char *argv[])
{
double t, *a;
int m, n, p, k, res, task = 10;
char *name = 0;
if (!((argc == 5 || argc == 6) &&
sscanf(argv[1], "%d", &m) == 1 &&
sscanf(argv[2], "%d", &n) == 1 &&
sscanf(argv[3], "%d", &p) == 1 &&
sscanf(argv[4], "%d", &k) == 1 &&
k >= 0 && k <= 4 && (!(k == 0 && argc != 6))))
{
printf("Usage: %s m n p k [filename]\n", argv[0]);
return 1;
}
if (argc == 6) name = argv[5];
a = (double *)malloc(m * n * sizeof(double));
if (!a)
{
printf("Not enough memory\n");
return 2;
}
if (name)
{ /* из файла */
io_status ret;
ret = read_matrix(a, m, n, name);
do {
switch (ret)
{
case SUCCESS:
continue;
case ERROR_OPEN:
printf("Cannot open %s\n", name);
break;
case ERROR_READ:
printf("Cannot read %s\n", name);
}
free(a);
return 3;
} while (0);
} else init_matrix(a, m, n, k);
printf("Matrix:\n");
print_matrix(a, m, n, p);
t = clock();
res = t10_solve(a, m, n);
t = (clock() - t) / CLOCKS_PER_SEC;
printf("New matrix:\n");
print_matrix(a, m - 1, n - 1, p);
printf ("%s : Task = %d Result = %d Elapsed = %.2f\n", argv[0], task, res, t);
free(a);
return 0;
}

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#include "solve.h"
#include <math.h>
#include <float.h>
#include <stdio.h>
int t10_solve(double *a, int m, int n)
{
int min_i = 0, min_j = 0;
double minimum = DBL_MAX;
double inn = 1./n, inm = 1./m;
for (int i = 0; i < m; i++)
{
double cur = 0;
double sum = 0;
double sq_sum = 0;
for (int j = 0; j < n; j++)
{
double temp = a[i*n + j];
sum += temp;
sq_sum += temp * temp;
}
cur = sq_sum - (sum * sum) * inn;
if ((minimum - cur) > DBL_EPSILON * fmax(fabs(minimum), fabs(cur))) {
minimum = cur;
min_i = i;
}
}
minimum = DBL_MAX;
for (int j = 0; j < n; j++)
{
const int BS = 32;
double cur = 0;
double sum = 0;
double sq_sum = 0;
for (int ii = 0; ii < m; ii += BS)
for (int i = ii; i < ii + BS && i < m; i++)
{
double temp = a[i*n + j];
sum += temp;
sq_sum += temp * temp;
}
cur = sq_sum - (sum * sum) * inm;
if ((minimum - cur) > DBL_EPSILON * fmax(fabs(minimum), fabs(cur))) {
minimum = cur;
min_j = j;
}
}
for (int l = min_j+1, del_j = 1; l < min_i*n; l++)
{
if (l == ((n * del_j) + min_j))
del_j++;
else
a[l - del_j] = a[l];
}
for (int l = (min_i+1)*n, del_j = min_i; l < m*n; l++)
{
if (l == ((n * (del_j + 1)) + min_j))
del_j++;
else
a[l - del_j - n] = a[l];
}
return min_i * n + min_j;
}

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2025.03.21/10Ex/solve.h Normal file
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#ifndef SOLVE_H
#define SOLVE_H
int t10_solve(double *a, int m, int n);
#endif