chpr - perform the hermitian rank 1 operation A := alpha*x*conjg( x' ) + A
SUBROUTINE CHPR(UPLO, N, ALPHA, X, INCX, A) CHARACTER*1 UPLO COMPLEX X(*), A(*) INTEGER N, INCX REAL ALPHA SUBROUTINE CHPR_64(UPLO, N, ALPHA, X, INCX, A) CHARACTER*1 UPLO COMPLEX X(*), A(*) INTEGER*8 N, INCX REAL ALPHA F95 INTERFACE SUBROUTINE HPR(UPLO, N, ALPHA, X, INCX, A) CHARACTER(LEN=1) :: UPLO COMPLEX, DIMENSION(:) :: X, A INTEGER :: N, INCX REAL :: ALPHA SUBROUTINE HPR_64(UPLO, N, ALPHA, X, INCX, A) CHARACTER(LEN=1) :: UPLO COMPLEX, DIMENSION(:) :: X, A INTEGER(8) :: N, INCX REAL :: ALPHA C INTERFACE #include <sunperf.h> void chpr(char uplo, int n, float alpha, complex *x, int incx, complex *a); void chpr_64(char uplo, long n, float alpha, complex *x, long incx, complex *a);
Oracle Solaris Studio Performance Library chpr(3P) NAME chpr - perform the hermitian rank 1 operation A := alpha*x*conjg( x' ) + A SYNOPSIS SUBROUTINE CHPR(UPLO, N, ALPHA, X, INCX, A) CHARACTER*1 UPLO COMPLEX X(*), A(*) INTEGER N, INCX REAL ALPHA SUBROUTINE CHPR_64(UPLO, N, ALPHA, X, INCX, A) CHARACTER*1 UPLO COMPLEX X(*), A(*) INTEGER*8 N, INCX REAL ALPHA F95 INTERFACE SUBROUTINE HPR(UPLO, N, ALPHA, X, INCX, A) CHARACTER(LEN=1) :: UPLO COMPLEX, DIMENSION(:) :: X, A INTEGER :: N, INCX REAL :: ALPHA SUBROUTINE HPR_64(UPLO, N, ALPHA, X, INCX, A) CHARACTER(LEN=1) :: UPLO COMPLEX, DIMENSION(:) :: X, A INTEGER(8) :: N, INCX REAL :: ALPHA C INTERFACE #include <sunperf.h> void chpr(char uplo, int n, float alpha, complex *x, int incx, complex *a); void chpr_64(char uplo, long n, float alpha, complex *x, long incx, complex *a); PURPOSE chpr performs the hermitian rank 1 operation A := alpha*x*conjg( x' ) + A where alpha is a real scalar, x is an n element vector and A is an n by n hermitian matrix, supplied in packed form. ARGUMENTS UPLO (input) On entry, UPLO specifies whether the upper or lower triangu- lar part of the matrix A is supplied in the packed array A as follows: UPLO = 'U' or 'u' The upper triangular part of A is sup- plied in A. UPLO = 'L' or 'l' The lower triangular part of A is sup- plied in A. Unchanged on exit. N (input) On entry, N specifies the order of the matrix A. N >= 0. Unchanged on exit. ALPHA (input) On entry, ALPHA specifies the scalar alpha. Unchanged on exit. X (input) ( 1 + ( n - 1 )*abs( INCX ) ). Before entry, the incremented array X must contain the n element vector x. Unchanged on exit. INCX (input) On entry, INCX specifies the increment for the elements of X. INCX <> 0. Unchanged on exit. A (input/output) ( ( n*( n + 1 ) )/2 ). Before entry with UPLO = 'U' or 'u', the array A must contain the upper triangular part of the hermitian matrix packed sequentially, column by column, so that A( 1 ) contains a( 1, 1 ), A( 2 ) and A( 3 ) contain a( 1, 2 ) and a( 2, 2 ) respectively, and so on. On exit, the array A is overwritten by the upper triangular part of the updated matrix. Before entry with UPLO = 'L' or 'l', the array A must contain the lower triangular part of the hermi- tian matrix packed sequentially, column by column, so that A( 1 ) contains a( 1, 1 ), A( 2 ) and A( 3 ) contain a( 2, 1 ) and a( 3, 1 ) respectively, and so on. On exit, the array A is overwritten by the lower triangular part of the updated matrix. Note that the imaginary parts of the diagonal ele- ments need not be set, they are assumed to be zero, and on exit they are set to zero. 7 Nov 2015 chpr(3P)