+++ /dev/null
-/*******************************************************************************
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-* under such intellectual property rights must be express and approved by Intel
-* in writing.
-*
-********************************************************************************
-*/
-/*
- LAPACKE_zgesv Example.
- ======================
-
- The program computes the solution to the system of linear
- equations with a square matrix A and multiple
- right-hand sides B, where A is the coefficient matrix:
-
- ( 1.23, -5.50) ( 7.91, -5.38) ( -9.80, -4.86) ( -7.32, 7.57)
- ( -2.14, -1.12) ( -9.92, -0.79) ( -9.18, -1.12) ( 1.37, 0.43)
- ( -4.30, -7.10) ( -6.47, 2.52) ( -6.51, -2.67) ( -5.86, 7.38)
- ( 1.27, 7.29) ( 8.90, 6.92) ( -8.82, 1.25) ( 5.41, 5.37)
-
- and B is the right-hand side matrix:
-
- ( 8.33, -7.32) ( -6.11, -3.81)
- ( -6.18, -4.80) ( 0.14, -7.71)
- ( -5.71, -2.80) ( 1.41, 3.40)
- ( -1.60, 3.08) ( 8.54, -4.05)
-
- Description.
- ============
-
- The routine solves for X the system of linear equations A*X = B,
- where A is an n-by-n matrix, the columns of matrix B are individual
- right-hand sides, and the columns of X are the corresponding
- solutions.
-
- The LU decomposition with partial pivoting and row interchanges is
- used to factor A as A = P*L*U, where P is a permutation matrix, L
- is unit lower triangular, and U is upper triangular. The factored
- form of A is then used to solve the system of equations A*X = B.
-
- Example Program Results.
- ========================
-
- LAPACKE_zgesv (row-major, high-level) Example Program Results
-
- Solution
- ( -1.09, -0.18) ( 1.28, 1.21)
- ( 0.97, 0.52) ( -0.22, -0.97)
- ( -0.20, 0.19) ( 0.53, 1.36)
- ( -0.59, 0.92) ( 2.22, -1.00)
-
- Details of LU factorization
- ( -4.30, -7.10) ( -6.47, 2.52) ( -6.51, -2.67) ( -5.86, 7.38)
- ( 0.49, 0.47) ( 12.26, -3.57) ( -7.87, -0.49) ( -0.98, 6.71)
- ( 0.25, -0.15) ( -0.60, -0.37) (-11.70, -4.64) ( -1.35, 1.38)
- ( -0.83, -0.32) ( 0.05, 0.58) ( 0.93, -0.50) ( 2.66, 7.86)
-
- Pivot indices
- 3 3 3 4
-*/
-#include <stdlib.h>
-#include <stdio.h>
-#include "lapacke.h"
-
-/* Auxiliary routines prototypes */
-extern void print_matrix( char* desc, lapack_int m, lapack_int n, lapack_complex_double* a, lapack_int lda );
-extern void print_int_vector( char* desc, lapack_int n, lapack_int* a );
-
-/* Parameters */
-#define N 4
-#define NRHS 2
-#define LDA N
-#define LDB NRHS
-
-/* Main program */
-int main() {
- /* Locals */
- lapack_int n = N, nrhs = NRHS, lda = LDA, ldb = LDB, info;
- /* Local arrays */
- lapack_int ipiv[N];
- lapack_complex_double a[LDA*N];
- lapack_complex_double b[LDB*N];
- a[0] = lapack_make_complex_double( 1.23, -5.50);
- a[1] = lapack_make_complex_double( 7.91, -5.38);
- a[2] = lapack_make_complex_double(-9.80, -4.86);
- a[3] = lapack_make_complex_double(-7.32, 7.57);
- a[4] = lapack_make_complex_double(-2.14, -1.12);
- a[5] = lapack_make_complex_double(-9.92, -0.79);
- a[6] = lapack_make_complex_double(-9.18, -1.12);
- a[7] = lapack_make_complex_double( 1.37, 0.43);
- a[8] = lapack_make_complex_double(-4.30, -7.10);
- a[9] = lapack_make_complex_double(-6.47, 2.52);
- a[10] = lapack_make_complex_double(-6.51, -2.67);
- a[11] = lapack_make_complex_double(-5.86, 7.38);
- a[12] = lapack_make_complex_double( 1.27, 7.29);
- a[13] = lapack_make_complex_double( 8.90, 6.92);
- a[14] = lapack_make_complex_double(-8.82, 1.25);
- a[15] = lapack_make_complex_double( 5.41, 5.37);
-
- b[0] = lapack_make_complex_double( 8.33, -7.32);
- b[1] = lapack_make_complex_double(-6.11, -3.81);
- b[2] = lapack_make_complex_double(-6.18, -4.80);
- b[3] = lapack_make_complex_double( 0.14, -7.71);
- b[4] = lapack_make_complex_double(-5.71, -2.80);
- b[5] = lapack_make_complex_double( 1.41, 3.40);
- b[6] = lapack_make_complex_double(-1.60, 3.08);
- b[7] = lapack_make_complex_double( 8.54, -4.05);
-
- /* Print Entry Matrix */
- print_matrix( "Entry Matrix A", n, n, a, lda );
- /* Print Right Rand Side */
- print_matrix( "Right Rand Side", n, nrhs, b, ldb );
- printf( "\n" );
- /* Executable statements */
- printf( "LAPACKE_zgesv (row-major, high-level) Example Program Results\n" );
- /* Solve the equations A*X = B */
- info = LAPACKE_zgesv( LAPACK_ROW_MAJOR, n, nrhs, a, lda, ipiv, b, ldb );
- /* Check for the exact singularity */
- if( info > 0 ) {
- printf( "The diagonal element of the triangular factor of A,\n" );
- printf( "U(%i,%i) is zero, so that A is singular;\n", info, info );
- printf( "the solution could not be computed.\n" );
- exit( 1 );
- }
- /* Print solution */
- print_matrix( "Solution", n, nrhs, b, ldb );
- /* Print details of LU factorization */
- print_matrix( "Details of LU factorization", n, n, a, lda );
- /* Print pivot indices */
- print_int_vector( "Pivot indices", n, ipiv );
- exit( 0 );
-} /* End of LAPACKE_zgesv Example */
-
-/* Auxiliary routine: printing a matrix */
-void print_matrix( char* desc, lapack_int m, lapack_int n, lapack_complex_double* a, lapack_int lda ) {
- lapack_int i, j;
- printf( "\n %s\n", desc );
- for( i = 0; i < m; i++ ) {
- for( j = 0; j < n; j++ )
- printf( " (%6.2f,%6.2f)", lapack_complex_double_real(a[i*lda+j]), lapack_complex_double_imag(a[i*lda+j]) );
- printf( "\n" );
- }
-}
-
-/* Auxiliary routine: printing a vector of integers */
-void print_int_vector( char* desc, lapack_int n, lapack_int* a ) {
- lapack_int j;
- printf( "\n %s\n", desc );
- for( j = 0; j < n; j++ ) printf( " %6i", a[j] );
- printf( "\n" );
-}