561 lines
13 KiB
C
561 lines
13 KiB
C
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/* MOD2DENSE-TEST. C - Program to test mod2dense module. */
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/* Copyright (c) 1995-2012 by Radford M. Neal.
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*
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* Permission is granted for anyone to copy, use, modify, and distribute
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* these programs and accompanying documents for any purpose, provided
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* this copyright notice is retained and prominently displayed, and note
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* is made of any changes made to these programs. These programs and
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* documents are distributed without any warranty, express or implied.
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* As the programs were written for research purposes only, they have not
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* been tested to the degree that would be advisable in any important
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* application. All use of these programs is entirely at the user's own
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* risk.
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*/
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/* Correct output for this program is saved in the file mod2dense-test-out */
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#include <stdlib.h>
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#include <stdio.h>
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#include <math.h>
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#include "mod2dense.h"
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main(void)
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{
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mod2dense *m1, *m2, *m3, *m4;
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mod2dense *s0, *s1, *s2, *s3, *s4, *s5;
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int a_row[35], a_col[35];
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int code;
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int i, j;
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FILE *f;
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printf("\nPART 1:\n\n");
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/* Set up m1 with bits on a diagonal plus a few more set to 1. */
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m1 = mod2dense_allocate(35,40);
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mod2dense_clear(m1);
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for (i = 0; i<35; i++) mod2dense_set(m1,i,i,1);
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mod2dense_set(m1,2,3,1);
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mod2dense_set(m1,34,4,1);
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mod2dense_set(m1,10,38,1);
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/* Print m1. */
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printf("Matrix m1:\n\n");
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mod2dense_print(stdout,m1);
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printf("\n"); fflush(stdout);
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/* Store m1 in a file. */
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f = fopen("test-file","wb");
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if (f==0)
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{ fprintf(stderr,"Can't create test-file\n");
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exit(1);
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}
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if (!mod2dense_write(f,m1))
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{ printf("Error from mod2dense_write\n");
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}
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fclose(f);
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/* Read matrix written above back into m2. */
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f = fopen("test-file","rb");
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if (f==0)
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{ fprintf(stderr,"Can't open test-file\n");
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exit(1);
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}
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m2 = mod2dense_read(f);
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if (m2==0)
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{ printf("Error from mod2dense_read\n");
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exit(1);
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}
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/* Print m2, along with result of equality test. */
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printf("Matrix m2, as read from file. Should be same as m1 above.\n\n");
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mod2dense_print(stdout,m2);
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printf("\n"); fflush(stdout);
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printf("Test of equality of m1 & m2 (should be 1): %d\n\n",
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mod2dense_equal(m1,m2));
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/* Copy m1 to m3. */
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m3 = mod2dense_allocate(mod2dense_rows(m1),mod2dense_cols(m1));
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mod2dense_copy(m1,m3);
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/* Print m3, along with result of equality test. */
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printf("Matrix m3, copied from m1 above.\n\n");
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mod2dense_print(stdout,m3);
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printf("\n"); fflush(stdout);
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printf("Test of equality of m1 & m3 (should be 1): %d\n\n",
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mod2dense_equal(m1,m3));
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/* Clear m3. */
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mod2dense_clear(m3);
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/* Print m3 again. */
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printf("Matrix m3 again, should now be all zeros.\n\n");
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mod2dense_print(stdout,m3);
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printf("\n"); fflush(stdout);
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printf("Test of equality of m1 & m3 (should be 0): %d\n\n",
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mod2dense_equal(m1,m3));
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printf("\nPART 2:\n\n");
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/* Compute transpose of m1. */
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m4 = mod2dense_allocate(mod2dense_cols(m1),mod2dense_rows(m1));
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mod2dense_transpose(m1,m4);
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/* Print transpose. */
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printf("Transpose of m1.\n\n");
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mod2dense_print(stdout,m4);
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printf("\n"); fflush(stdout);
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/* Free space for m1, m2, and m3. */
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mod2dense_free(m1);
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mod2dense_free(m2);
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mod2dense_free(m3);
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printf("\nPART 3:\n\n");
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/* Allocate some small matrices. */
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s0 = mod2dense_allocate(5,7);
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s1 = mod2dense_allocate(5,7);
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s2 = mod2dense_allocate(7,4);
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s3 = mod2dense_allocate(5,4);
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s4 = mod2dense_allocate(5,7);
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/* Set up the contents of s0, s1, and s2. */
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mod2dense_clear(s0);
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mod2dense_clear(s1);
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mod2dense_clear(s2);
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mod2dense_set(s0,1,3,1);
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mod2dense_set(s0,1,4,1);
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mod2dense_set(s0,2,0,1);
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mod2dense_set(s0,3,1,1);
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mod2dense_set(s1,1,3,1);
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mod2dense_set(s1,1,5,1);
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mod2dense_set(s1,3,0,1);
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mod2dense_set(s1,3,1,1);
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mod2dense_set(s1,3,6,1);
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mod2dense_set(s2,5,1,1);
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mod2dense_set(s2,5,2,1);
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mod2dense_set(s2,5,3,1);
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mod2dense_set(s2,0,0,1);
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mod2dense_set(s2,1,1,1);
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/* Print s0, s1, and s2. */
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printf("Matrix s0.\n\n");
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mod2dense_print(stdout,s0);
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printf("\nMatrix s1.\n\n");
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mod2dense_print(stdout,s1);
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printf("\nMatrix s2.\n\n");
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mod2dense_print(stdout,s2);
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printf("\n"); fflush(stdout);
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/* Add s0 and s1, storing the result in s4, then print s4. */
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mod2dense_add(s0,s1,s4);
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printf("Sum of s0 and s1.\n\n");
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mod2dense_print(stdout,s4);
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printf("\n"); fflush(stdout);
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/* Multiply s1 and s2, storing the product in s3, and then print s3. */
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mod2dense_multiply(s1,s2,s3);
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printf("Product of s1 and s2.\n\n");
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mod2dense_print(stdout,s3);
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printf("\n"); fflush(stdout);
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/* Try clearing a bit in s3, then printing the result. */
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mod2dense_set(s3,1,2,0);
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printf("Above matrix with (1,2) cleared.\n\n");
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mod2dense_print(stdout,s3);
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printf("\n"); fflush(stdout);
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/* Free space for s0, s1, s2, s3, and s4. */
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mod2dense_free(s0);
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mod2dense_free(s1);
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mod2dense_free(s2);
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mod2dense_free(s3);
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mod2dense_free(s4);
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printf("\nPART 4:\n\n");
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/* Set up a small square matrix, s1. Also copy it to s2. */
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s1 = mod2dense_allocate(5,5);
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s2 = mod2dense_allocate(5,5);
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mod2dense_clear(s1);
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mod2dense_set(s1,0,3,1);
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mod2dense_set(s1,1,4,1);
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mod2dense_set(s1,1,1,1);
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mod2dense_set(s1,2,0,1);
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mod2dense_set(s1,3,1,1);
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mod2dense_set(s1,3,2,1);
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mod2dense_set(s1,4,2,1);
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mod2dense_set(s1,4,0,1);
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mod2dense_copy(s1,s2);
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/* Print s1. */
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printf("Matrix s1.\n\n");
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mod2dense_print(stdout,s1);
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printf("\n"); fflush(stdout);
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/* Compute inverse of s1, storing it in s3. */
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s3 = mod2dense_allocate(5,5);
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code = mod2dense_invert(s1,s3);
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/* Print inverse (s3). */
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printf("Matrix s3, the inverse of s1 (return code %d).\n\n",code);
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mod2dense_print(stdout,s3);
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printf("\n"); fflush(stdout);
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/* Compute and print product of inverse and original matrix, both ways. */
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mod2dense_multiply(s2,s3,s1);
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printf("Original matrix times inverse (should be identity).\n\n");
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mod2dense_print(stdout,s1);
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mod2dense_multiply(s3,s2,s1);
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printf("\nInverse times original matrix (should be identity).\n\n");
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mod2dense_print(stdout,s1);
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printf("\n"); fflush(stdout);
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/* Compute and print inverse of inverse, and do equality check. */
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mod2dense_invert(s3,s1);
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printf("Inverse of inverse (should be same as original s1).\n");
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mod2dense_print(stdout,s1);
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printf("\n"); fflush(stdout);
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printf("Test of equality with original (should be 1): %d\n\n",
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mod2dense_equal(s1,s2));
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/* Free s1, s2, and s3. */
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mod2dense_free(s1);
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mod2dense_free(s2);
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mod2dense_free(s3);
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/* Set up a rectangular matrix like s1 above, but with two zero columns.
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Copy to s4 as well. */
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s1 = mod2dense_allocate(5,7);
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mod2dense_clear(s1);
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mod2dense_set(s1,0,4,1);
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mod2dense_set(s1,1,6,1);
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mod2dense_set(s1,1,1,1);
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mod2dense_set(s1,2,0,1);
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mod2dense_set(s1,3,1,1);
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mod2dense_set(s1,3,2,1);
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mod2dense_set(s1,4,2,1);
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mod2dense_set(s1,4,0,1);
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s4 = mod2dense_allocate(5,7);
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mod2dense_copy(s1,s4);
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/* Print s1. */
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printf("Matrix s1.\n\n");
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mod2dense_print(stdout,s1);
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printf("\n"); fflush(stdout);
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/* Compute inverse of sub-matrix of s1, storing it in s3. Print results. */
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s3 = mod2dense_allocate(5,7);
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code = mod2dense_invert_selected(s1,s3,a_row,a_col);
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printf("Matrix s3, from invert_selected applied to s1 (return code %d).\n\n",
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code);
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mod2dense_print(stdout,s3);
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printf("\n row ordering returned:");
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for (i = 0; i<5; i++) printf(" %d",a_row[i]);
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printf("\n");
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printf("\n column ordering returned:");
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for (j = 0; j<7; j++) printf(" %d",a_col[j]);
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printf("\n");
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printf("\n"); fflush(stdout);
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printf("Columns extracted in order from original matrix.\n\n");
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s2 = mod2dense_allocate(5,5);
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mod2dense_copycols(s4,s2,a_col);
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mod2dense_print(stdout,s2);
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printf("\n"); fflush(stdout);
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s5 = mod2dense_allocate(5,5);
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code = mod2dense_invert(s2,s5);
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printf(
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"Inverse of above calculated using mod2dense_inverse (return code %d)\n\n",
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code);
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mod2dense_print(stdout,s5);
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printf("\n"); fflush(stdout);
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printf(
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"Columns extracted in order from s3 (should also be inverse of above).\n\n");
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mod2dense_copycols(s3,s2,a_col);
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mod2dense_print(stdout,s2);
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printf("\n"); fflush(stdout);
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/* Try out mod2dense_invert_selected again. */
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mod2dense_clear(s1);
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mod2dense_set(s1,0,0,1);
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mod2dense_set(s1,0,1,1);
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mod2dense_set(s1,1,1,1);
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mod2dense_set(s1,1,2,1);
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mod2dense_set(s1,2,0,1);
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mod2dense_set(s1,2,2,1);
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mod2dense_set(s1,3,3,1);
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mod2dense_set(s1,3,4,1);
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printf("Matrix s1.\n\n");
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mod2dense_print(stdout,s1);
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printf("\n"); fflush(stdout);
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code = mod2dense_invert_selected(s1,s3,a_row,a_col);
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printf("Matrix s3, from invert_selected applied to s1 (return code %d).\n\n",
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code);
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|
||
|
|
mod2dense_print(stdout,s3);
|
||
|
|
|
||
|
|
printf("\n row ordering returned:");
|
||
|
|
for (i = 0; i<5; i++) printf(" %d",a_row[i]);
|
||
|
|
printf("\n");
|
||
|
|
printf("\n column ordering returned:");
|
||
|
|
for (j = 0; j<7; j++) printf(" %d",a_col[j]);
|
||
|
|
printf("\n");
|
||
|
|
|
||
|
|
printf("\n"); fflush(stdout);
|
||
|
|
|
||
|
|
printf("Matrix s4, from copying rows in order from s3.\n\n");
|
||
|
|
|
||
|
|
mod2dense_copyrows(s3,s4,a_row);
|
||
|
|
|
||
|
|
mod2dense_print(stdout,s4);
|
||
|
|
|
||
|
|
free(s1);
|
||
|
|
free(s2);
|
||
|
|
free(s3);
|
||
|
|
free(s4);
|
||
|
|
free(s5);
|
||
|
|
|
||
|
|
|
||
|
|
printf("\nPART 5:\n\n");
|
||
|
|
|
||
|
|
/* Set up a larger square matrix, s1. Also copy it to s2. */
|
||
|
|
|
||
|
|
s1 = mod2dense_allocate(35,35);
|
||
|
|
s2 = mod2dense_allocate(35,35);
|
||
|
|
|
||
|
|
mod2dense_clear(s1);
|
||
|
|
|
||
|
|
for (i = 0; i<35; i++) mod2dense_set(s1,i,i,1);
|
||
|
|
|
||
|
|
mod2dense_set(s1,10,3,1);
|
||
|
|
mod2dense_set(s1,11,4,1);
|
||
|
|
mod2dense_set(s1,11,11,1);
|
||
|
|
mod2dense_set(s1,12,20,1);
|
||
|
|
mod2dense_set(s1,13,31,1);
|
||
|
|
mod2dense_set(s1,23,12,1);
|
||
|
|
mod2dense_set(s1,24,12,1);
|
||
|
|
mod2dense_set(s1,14,10,1);
|
||
|
|
mod2dense_set(s1,2,20,1);
|
||
|
|
mod2dense_set(s1,3,31,1);
|
||
|
|
mod2dense_set(s1,3,12,1);
|
||
|
|
mod2dense_set(s1,24,2,1);
|
||
|
|
mod2dense_set(s1,24,0,1);
|
||
|
|
mod2dense_set(s1,5,3,1);
|
||
|
|
mod2dense_set(s1,18,3,1);
|
||
|
|
mod2dense_set(s1,17,11,1);
|
||
|
|
mod2dense_set(s1,32,23,1);
|
||
|
|
mod2dense_set(s1,9,24,1);
|
||
|
|
mod2dense_set(s1,19,11,1);
|
||
|
|
mod2dense_set(s1,11,30,1);
|
||
|
|
mod2dense_set(s1,21,27,1);
|
||
|
|
mod2dense_set(s1,21,22,1);
|
||
|
|
mod2dense_set(s1,23,33,1);
|
||
|
|
mod2dense_set(s1,24,23,1);
|
||
|
|
mod2dense_set(s1,24,25,1);
|
||
|
|
mod2dense_set(s1,30,34,1);
|
||
|
|
mod2dense_set(s1,31,10,1);
|
||
|
|
mod2dense_set(s1,33,17,1);
|
||
|
|
mod2dense_set(s1,33,18,1);
|
||
|
|
mod2dense_set(s1,34,8,1);
|
||
|
|
mod2dense_set(s1,34,11,1);
|
||
|
|
mod2dense_set(s1,34,3,1);
|
||
|
|
mod2dense_set(s1,34,24,1);
|
||
|
|
mod2dense_set(s1,25,34,1);
|
||
|
|
mod2dense_set(s1,13,34,1);
|
||
|
|
|
||
|
|
mod2dense_set(s1,3,3,0);
|
||
|
|
mod2dense_set(s1,11,11,0);
|
||
|
|
mod2dense_set(s1,23,23,0);
|
||
|
|
mod2dense_set(s1,24,24,0);
|
||
|
|
|
||
|
|
mod2dense_copy(s1,s2);
|
||
|
|
|
||
|
|
/* Print s1. */
|
||
|
|
|
||
|
|
printf("Matrix s1.\n\n");
|
||
|
|
mod2dense_print(stdout,s1);
|
||
|
|
printf("\n"); fflush(stdout);
|
||
|
|
|
||
|
|
/* Compute inverse of s1, storing it in s3. */
|
||
|
|
|
||
|
|
s3 = mod2dense_allocate(35,35);
|
||
|
|
|
||
|
|
code = mod2dense_invert(s1,s3);
|
||
|
|
|
||
|
|
/* Print inverse (s3). */
|
||
|
|
|
||
|
|
printf("Matrix s3, the inverse of s1 (return code %d).\n\n",code);
|
||
|
|
mod2dense_print(stdout,s3);
|
||
|
|
printf("\n"); fflush(stdout);
|
||
|
|
|
||
|
|
/* Compute and print product of inverse and original matrix, both ways. */
|
||
|
|
|
||
|
|
mod2dense_multiply(s2,s3,s1);
|
||
|
|
printf("Original matrix times inverse (should be identity).\n\n");
|
||
|
|
mod2dense_print(stdout,s1);
|
||
|
|
|
||
|
|
mod2dense_multiply(s3,s2,s1);
|
||
|
|
printf("\nInverse times original matrix (should be identity).\n\n");
|
||
|
|
mod2dense_print(stdout,s1);
|
||
|
|
printf("\n"); fflush(stdout);
|
||
|
|
|
||
|
|
/* Compute and print inverse of inverse, and do equality check. */
|
||
|
|
|
||
|
|
mod2dense_invert(s3,s1);
|
||
|
|
|
||
|
|
printf("Inverse of inverse (should be same as original s1).\n\n");
|
||
|
|
mod2dense_print(stdout,s1);
|
||
|
|
printf("\n"); fflush(stdout);
|
||
|
|
|
||
|
|
printf("Test of equality with original (should be 1): %d\n\n",
|
||
|
|
mod2dense_equal(s1,s2));
|
||
|
|
|
||
|
|
/* Free s1, s2, and s3. */
|
||
|
|
|
||
|
|
mod2dense_free(s1);
|
||
|
|
mod2dense_free(s2);
|
||
|
|
mod2dense_free(s3);
|
||
|
|
|
||
|
|
|
||
|
|
printf("\nPART 6:\n\n");
|
||
|
|
|
||
|
|
/* Set up a largish square matrix, s1. Also copy it to s2. */
|
||
|
|
|
||
|
|
s1 = mod2dense_allocate(35,35);
|
||
|
|
s2 = mod2dense_allocate(35,35);
|
||
|
|
|
||
|
|
mod2dense_clear(s1);
|
||
|
|
|
||
|
|
for (i = 0; i<10; i++)
|
||
|
|
{ if (i!=3 && i!=7)
|
||
|
|
{ mod2dense_set(s1,i,i,1);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
for (i = 10; i<35; i++)
|
||
|
|
{ if (i!=15 && i!=21 && i!=32)
|
||
|
|
{ mod2dense_set(s1,i,34-(i-10),1);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
/* Print s1. */
|
||
|
|
|
||
|
|
printf("Matrix s1.\n\n");
|
||
|
|
mod2dense_print(stdout,s1);
|
||
|
|
printf("\n"); fflush(stdout);
|
||
|
|
|
||
|
|
/* Forcibly invert s1, storing inverse in s3. */
|
||
|
|
|
||
|
|
s3 = mod2dense_allocate(35,35);
|
||
|
|
|
||
|
|
code = mod2dense_forcibly_invert(s1,s3,a_row,a_col);
|
||
|
|
|
||
|
|
/* Print inverse, and list of altered elements. */
|
||
|
|
|
||
|
|
printf("Result of forcibly inverting s1 (needed to alter %d elements).\n\n",
|
||
|
|
code);
|
||
|
|
mod2dense_print(stdout,s3);
|
||
|
|
printf("\n"); fflush(stdout);
|
||
|
|
|
||
|
|
printf("Altered elements at these indexes:\n\n");
|
||
|
|
|
||
|
|
for (i = 0; i<code; i++)
|
||
|
|
{ printf("%3d %3d\n",a_row[i],a_col[i]);
|
||
|
|
}
|
||
|
|
printf("\n"); fflush(stdout);
|
||
|
|
|
||
|
|
/* Compute and print inverse of inverse. */
|
||
|
|
|
||
|
|
mod2dense_invert(s3,s1);
|
||
|
|
|
||
|
|
printf("Inverse of inverse of altered matrix.\n\n");
|
||
|
|
mod2dense_print(stdout,s1);
|
||
|
|
printf("\n"); fflush(stdout);
|
||
|
|
|
||
|
|
printf("\nDONE WITH TESTS.\n");
|
||
|
|
|
||
|
|
exit(0);
|
||
|
|
}
|