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AZEN-SGG 2025-04-14 23:27:22 +03:00
parent 768df4b636
commit 9319f68a39
71 changed files with 249 additions and 166 deletions
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2025.04.04/asymptotics_test/asymptotics.xlsx Normal file
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2025.04.04/dist/Krivoruchenko_SK/asymptotics_test/asymptotics.xlsx vendored
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2025.04.04/dist/Krivoruchenko_SK/asymptotics_test/test_out_01000.log vendored
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Initial matrix:
1.000e+00 2.000e+00 3.000e+00 4.000e+00
2.000e+00 2.000e+00 3.000e+00 4.000e+00
3.000e+00 3.000e+00 3.000e+00 4.000e+00
4.000e+00 4.000e+00 4.000e+00 4.000e+00
Inverse matrix:
-1.000e+00 1.000e+00 1.890e-15 -4.851e-16
1.000e+00 -2.000e+00 1.000e+00 4.820e-27
1.110e-16 1.000e+00 -2.000e+00 1.000e+00
-2.220e-16 -1.332e-15 1.000e+00 -2.000e+00
./a.out : Task = 14 Res1 = 4.725103e-09 Res2 = 5.398199e-10 Elapsed = 0.78 K = 2 N = 1000

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2025.04.04/dist/Krivoruchenko_SK/asymptotics_test/test_out_02000.log vendored
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@ -1,11 +0,0 @@
Initial matrix:
1.000e+00 2.000e+00 3.000e+00 4.000e+00
2.000e+00 2.000e+00 3.000e+00 4.000e+00
3.000e+00 3.000e+00 3.000e+00 4.000e+00
4.000e+00 4.000e+00 4.000e+00 4.000e+00
Inverse matrix:
-1.000e+00 1.000e+00 -1.787e-15 4.055e-16
1.000e+00 -2.000e+00 1.000e+00 -4.626e-25
2.866e-27 1.000e+00 -2.000e+00 1.000e+00
1.018e-28 -4.441e-16 1.000e+00 -2.000e+00
./a.out : Task = 14 Res1 = 2.747140e-08 Res2 = 2.397914e-09 Elapsed = 8.07 K = 2 N = 2000

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2025.04.04/dist/Krivoruchenko_SK/asymptotics_test/test_out_03000.log vendored
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@ -1,11 +0,0 @@
Initial matrix:
1.000e+00 2.000e+00 3.000e+00 4.000e+00
2.000e+00 2.000e+00 3.000e+00 4.000e+00
3.000e+00 3.000e+00 3.000e+00 4.000e+00
4.000e+00 4.000e+00 4.000e+00 4.000e+00
Inverse matrix:
-1.000e+00 1.000e+00 1.264e-15 2.400e-15
1.000e+00 -2.000e+00 1.000e+00 -4.996e-16
2.220e-16 1.000e+00 -2.000e+00 1.000e+00
5.551e-17 2.220e-16 1.000e+00 -2.000e+00
./a.out : Task = 14 Res1 = 8.237660e-08 Res2 = 4.537065e-09 Elapsed = 26.56 K = 2 N = 3000

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2025.04.04/dist/Krivoruchenko_SK/asymptotics_test/test_out_04000.log vendored
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@ -1,11 +0,0 @@
Initial matrix:
1.000e+00 2.000e+00 3.000e+00 4.000e+00
2.000e+00 2.000e+00 3.000e+00 4.000e+00
3.000e+00 3.000e+00 3.000e+00 4.000e+00
4.000e+00 4.000e+00 4.000e+00 4.000e+00
Inverse matrix:
-1.000e+00 1.000e+00 -2.785e-16 3.760e-15
1.000e+00 -2.000e+00 1.000e+00 -5.551e-17
4.441e-16 1.000e+00 -2.000e+00 1.000e+00
1.249e-16 -4.718e-16 1.000e+00 -2.000e+00
./a.out : Task = 14 Res1 = 1.618474e-07 Res2 = 9.359467e-09 Elapsed = 64.23 K = 2 N = 4000

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2025.04.04/dist/Krivoruchenko_SK/asymptotics_test/test_out_05000.log vendored
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@ -1,11 +0,0 @@
Initial matrix:
1.000e+00 2.000e+00 3.000e+00 4.000e+00
2.000e+00 2.000e+00 3.000e+00 4.000e+00
3.000e+00 3.000e+00 3.000e+00 4.000e+00
4.000e+00 4.000e+00 4.000e+00 4.000e+00
Inverse matrix:
-1.000e+00 1.000e+00 -8.688e-16 3.613e-15
1.000e+00 -2.000e+00 1.000e+00 5.551e-17
3.886e-16 1.000e+00 -2.000e+00 1.000e+00
-8.419e-16 8.882e-16 1.000e+00 -2.000e+00
./a.out : Task = 14 Res1 = 0.000000e+00 Res2 = 0.000000e+00 Elapsed = 125.04 K = 2 N = 5000

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2025.04.04/dist/Krivoruchenko_SK/asymptotics_test/test_out_06000.log vendored
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@ -1,11 +0,0 @@
Initial matrix:
1.000e+00 2.000e+00 3.000e+00 4.000e+00
2.000e+00 2.000e+00 3.000e+00 4.000e+00
3.000e+00 3.000e+00 3.000e+00 4.000e+00
4.000e+00 4.000e+00 4.000e+00 4.000e+00
Inverse matrix:
-1.000e+00 1.000e+00 1.008e-15 1.178e-15
1.000e+00 -2.000e+00 1.000e+00 -8.327e-17
1.117e-27 1.000e+00 -2.000e+00 1.000e+00
9.252e-17 -2.591e-16 1.000e+00 -2.000e+00
./a.out : Task = 14 Res1 = 0.000000e+00 Res2 = 0.000000e+00 Elapsed = 218.34 K = 2 N = 6000

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@ -1,11 +0,0 @@
Initial matrix:
1.000e+00 2.000e+00 3.000e+00 4.000e+00
2.000e+00 2.000e+00 3.000e+00 4.000e+00
3.000e+00 3.000e+00 3.000e+00 4.000e+00
4.000e+00 4.000e+00 4.000e+00 4.000e+00
Inverse matrix:
-1.000e+00 1.000e+00 1.023e-15 1.463e-15
1.000e+00 -2.000e+00 1.000e+00 -1.527e-15
-2.776e-16 1.000e+00 -2.000e+00 1.000e+00
-3.701e-17 5.181e-16 1.000e+00 -2.000e+00
./a.out : Task = 14 Res1 = 0.000000e+00 Res2 = 0.000000e+00 Elapsed = 341.54 K = 2 N = 7000

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2025.04.04/dist/Krivoruchenko_SK/asymptotics_test/test_out_08000.log vendored
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@ -1,11 +0,0 @@
Initial matrix:
1.000e+00 2.000e+00 3.000e+00 4.000e+00
2.000e+00 2.000e+00 3.000e+00 4.000e+00
3.000e+00 3.000e+00 3.000e+00 4.000e+00
4.000e+00 4.000e+00 4.000e+00 4.000e+00
Inverse matrix:
-1.000e+00 1.000e+00 5.577e-16 -5.966e-16
1.000e+00 -2.000e+00 1.000e+00 -6.106e-16
-5.476e-24 1.000e+00 -2.000e+00 1.000e+00
-2.498e-16 1.665e-16 1.000e+00 -2.000e+00
./a.out : Task = 14 Res1 = 0.000000e+00 Res2 = 0.000000e+00 Elapsed = 511.43 K = 2 N = 8000

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@ -1,11 +0,0 @@
Initial matrix:
1.000e+00 2.000e+00 3.000e+00 4.000e+00
2.000e+00 2.000e+00 3.000e+00 4.000e+00
3.000e+00 3.000e+00 3.000e+00 4.000e+00
4.000e+00 4.000e+00 4.000e+00 4.000e+00
Inverse matrix:
-1.000e+00 1.000e+00 -1.369e-16 -2.453e-15
1.000e+00 -2.000e+00 1.000e+00 -1.277e-15
4.441e-16 1.000e+00 -2.000e+00 1.000e+00
-2.961e-16 -1.134e-23 1.000e+00 -2.000e+00
./a.out : Task = 14 Res1 = 0.000000e+00 Res2 = 0.000000e+00 Elapsed = 728.62 K = 2 N = 9000

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@ -1,11 +0,0 @@
Initial matrix:
1.000e+00 2.000e+00 3.000e+00 4.000e+00
2.000e+00 2.000e+00 3.000e+00 4.000e+00
3.000e+00 3.000e+00 3.000e+00 4.000e+00
4.000e+00 4.000e+00 4.000e+00 4.000e+00
Inverse matrix:
-1.000e+00 1.000e+00 2.090e-15 -1.853e-15
1.000e+00 -2.000e+00 1.000e+00 7.772e-16
3.886e-16 1.000e+00 -2.000e+00 1.000e+00
-2.553e-27 -3.331e-16 1.000e+00 -2.000e+00
./a.out : Task = 14 Res1 = 0.000000e+00 Res2 = 0.000000e+00 Elapsed = 1007.83 K = 2 N = 10000

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@ -1,11 +0,0 @@
Initial matrix:
1.000e+00 2.000e+00 3.000e+00 4.000e+00
2.000e+00 2.000e+00 3.000e+00 4.000e+00
3.000e+00 3.000e+00 3.000e+00 4.000e+00
4.000e+00 4.000e+00 4.000e+00 4.000e+00
Inverse matrix:
-1.000e+00 1.000e+00 -5.878e-16 2.292e-15
1.000e+00 -2.000e+00 1.000e+00 -9.576e-16
1.110e-16 1.000e+00 -2.000e+00 1.000e+00
3.886e-16 1.110e-16 1.000e+00 -2.000e+00
./a.out : Task = 14 Res1 = 0.000000e+00 Res2 = 0.000000e+00 Elapsed = 1330.51 K = 2 N = 11000

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@ -1,11 +0,0 @@
Initial matrix:
1.000e+00 2.000e+00 3.000e+00 4.000e+00
2.000e+00 2.000e+00 3.000e+00 4.000e+00
3.000e+00 3.000e+00 3.000e+00 4.000e+00
4.000e+00 4.000e+00 4.000e+00 4.000e+00
Inverse matrix:
-1.000e+00 1.000e+00 -5.274e-15 1.485e-15
1.000e+00 -2.000e+00 1.000e+00 -8.327e-17
2.220e-16 1.000e+00 -2.000e+00 1.000e+00
-4.441e-16 -4.441e-16 1.000e+00 -2.000e+00
./a.out : Task = 14 Res1 = 0.000000e+00 Res2 = 0.000000e+00 Elapsed = 1718.64 K = 2 N = 12000

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2025.04.04/dist/Krivoruchenko_SK/asymptotics_test/test_out_13000.log vendored
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@ -1,11 +0,0 @@
Initial matrix:
1.000e+00 2.000e+00 3.000e+00 4.000e+00
2.000e+00 2.000e+00 3.000e+00 4.000e+00
3.000e+00 3.000e+00 3.000e+00 4.000e+00
4.000e+00 4.000e+00 4.000e+00 4.000e+00
Inverse matrix:
-1.000e+00 1.000e+00 -5.159e-15 -9.207e-17
1.000e+00 -2.000e+00 1.000e+00 -4.441e-16
-2.220e-16 1.000e+00 -2.000e+00 1.000e+00
2.220e-16 -2.220e-16 1.000e+00 -2.000e+00
./a.out : Task = 14 Res1 = 0.000000e+00 Res2 = 0.000000e+00 Elapsed = 2181.13 K = 2 N = 13000

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@ -1,11 +0,0 @@
Initial matrix:
1.000e+00 2.000e+00 3.000e+00 4.000e+00
2.000e+00 2.000e+00 3.000e+00 4.000e+00
3.000e+00 3.000e+00 3.000e+00 4.000e+00
4.000e+00 4.000e+00 4.000e+00 4.000e+00
Inverse matrix:
-1.000e+00 1.000e+00 -4.055e-15 2.933e-15
1.000e+00 -2.000e+00 1.000e+00 -8.882e-16
6.106e-16 1.000e+00 -2.000e+00 1.000e+00
-1.110e-16 2.206e-26 1.000e+00 -2.000e+00
./a.out : Task = 14 Res1 = 0.000000e+00 Res2 = 0.000000e+00 Elapsed = 2731.38 K = 2 N = 14000

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@ -1,11 +0,0 @@
Initial matrix:
1.000e+00 2.000e+00 3.000e+00 4.000e+00
2.000e+00 2.000e+00 3.000e+00 4.000e+00
3.000e+00 3.000e+00 3.000e+00 4.000e+00
4.000e+00 4.000e+00 4.000e+00 4.000e+00
Inverse matrix:
-1.000e+00 1.000e+00 -4.133e-16 6.973e-15
1.000e+00 -2.000e+00 1.000e+00 -3.331e-16
9.992e-16 1.000e+00 -2.000e+00 1.000e+00
-8.882e-16 2.220e-15 1.000e+00 -2.000e+00
./a.out : Task = 14 Res1 = 0.000000e+00 Res2 = 0.000000e+00 Elapsed = 3362.89 K = 2 N = 15000

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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
CFLAGS = -std=gnu99 -mfpmath=sse -O3
ifeq ($(OS),Windows_NT)
EXE = exe
CLEAN = del
LFLAGS = -lssp -lm
else
EXE = out
CLEAN = rm -f
LFLAGS = -lm
endif
TARGET = a01.$(EXE)
OBJ = main.o solve.o array_io.o
%.o: %.c
gcc $(CFLAGS) $(WFLAGS) -c $< -o $@
$(TARGET): $(OBJ)
gcc $^ -o $@ $(LFLAGS)
# Отладочная сборка (gdb)
gdb: CFLAGS = -mfpmath=sse -std=gnu99 -g -O0
gdb: clean $(TARGET)
# Профилировочная сборка (gprof)
prof: CFLAGS = -std=gnu99 -mfpmath=sse -pg -O3
prof: LFLAGS = -lm -pg
prof: clean $(TARGET)
clean:
$(CLEAN) *.o *$(EXE)

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#include <stdio.h>
#include <string.h>
#include "array_io.h"
io_status read_values (double * restrict X, double * restrict Y, const int n, const char * restrict name)
{
FILE *fp;
if (!(fp = fopen(name, "r")))
return ERROR_OPEN;
for (int i = 0; i < n; ++i)
if (fscanf(fp, "%lf\t%lf", X + i, Y + i) != 2)
{ fclose(fp); return ERROR_READ; }
fclose(fp);
return SUCCESS;
}
void print_values (const double * restrict X, const double * restrict Y, const int n, const int p)
{
int np = (n > p ? p : n);
for (int i = 0; i < np; i++)
printf("f(%lf) = %lf\n", X[i], Y[i]);
}

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#ifndef ARRAY_IO_H
#define ARRAY_IO_H
#include "io_status.h"
io_status read_values (double * restrict X, double * restrict Y, const int n, const char * restrict name);
void print_values (const double * restrict X, const double * restrict Y, const int n, const int p);
#endif

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#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"
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 x_0 n filename */
int main(int argc, char *argv[])
{
double x_0, t, r = 0, *X = 0, *Y = 0;
int n, task = 1;
char *name = 0;
io_status ret;
if (
!((argc == 4) &&
sscanf(argv[1], "%lf", &x_0) == 1 &&
sscanf(argv[2], "%d", &n) == 1 &&
((name = argv[3]) && name))
) {
fprintf(stderr, "Usage: %s x_0 n filename\n", argv[0]);
return 1;
}
// TODO: Удалить вывод в stderr
X = (double *)malloc(n * sizeof(double));
if (!X)
{
fprintf(stderr, "%s\n", ERR_MEM);
return 2;
}
Y = (double *)malloc(n * sizeof(double));
if (!Y)
{
free(X);
fprintf(stderr, "%s\n", ERR_MEM);
return 2;
}
ret = read_values(X, Y, n, name);
do {
switch (ret)
{
case SUCCESS:
continue;
case ERROR_OPEN:
fprintf(stderr, "%s '%s'!\n", ERR_OPEN, name);
break;
case ERROR_READ:
fprintf(stderr, "%s '%s'!\n", ERR_READ, name);
break;
}
free(X);
free(Y);
return 3;
} while (0);
t = clock();
r = t1_solve(x_0, n, X, Y);
t = (clock() - t) / CLOCKS_PER_SEC;
printf("%s : Task = %d Result = %e Elapsed = %.2f\n", argv[0], task, r, t);
free(X);
free(Y);
return 0;
}

43
2025.04.18/01Ex/solve.c Normal file
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#include "solve.h"
#include <float.h>
#include <math.h>
// the Lagrange interpolation polynomial
double t1_solve (const double x_0, const int n, const double * restrict X, const double * restrict Y)
{
double value = 0;
for (int i = 0; i < n; ++i)
{
double x_i = X[i];
double y_i = Y[i];
double numerator = y_i;
double denominator = 1;
if (fabs(x_0 - x_i) < DBL_EPSILON)
return y_i;
for (int j = 0; j < i; ++j)
{
double x_j = X[j];
numerator *= (x_0 - x_j);
denominator *= (x_i - x_j);
}
for (int j = i+1; j < n; ++j)
{
double x_j = X[j];
numerator *= (x_0 - x_j);
denominator *= (x_i - x_j);
}
if (fabs(denominator) < DBL_EPSILON)
return DBL_MAX;
value += numerator / denominator;
}
return value;
}

6
2025.04.18/01Ex/solve.h Normal file
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#ifndef SOLVE_H
#define SOLVE_H
double t1_solve (const double x_0, const int n, const double * restrict X, const double * restrict Y);
#endif

8
2025.04.18/tests/linear.txt Normal file
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@ -0,0 +1,8 @@
1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 8

9
2025.04.18/tests/linear_d.txt Normal file
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@ -0,0 +1,9 @@
1 1 1
2 2 1
3 3 1
4 4 1
5 5 1
6 6 1
7 7 1
8 8 1

16
2025.04.18/tests/log2_x.txt Normal file
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@ -0,0 +1,16 @@
1 0
2 1
4 2
8 3
16 4
32 5
64 6
128 7
256 8
512 9
1024 10
2048 11
4096 12
8192 13
16384 14
32768 15