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---
:name: chfrk
:md5sum: 08bd40053c967bb77e3ab340f3a09c2b
:category: :subroutine
:arguments:
- transr:
:type: char
:intent: input
- uplo:
:type: char
:intent: input
- trans:
:type: char
:intent: input
- n:
:type: integer
:intent: input
- k:
:type: integer
:intent: input
- alpha:
:type: real
:intent: input
- a:
:type: complex
:intent: input
:dims:
- lda
- "lsame_(&trans,\"N\") ? k : n"
- lda:
:type: integer
:intent: input
- beta:
:type: real
:intent: input
- c:
:type: complex
:intent: input/output
:dims:
- ldc
:substitutions:
lda: "lsame_(&trans,\"N\") ? MAX(1,n) : MAX(1,k)"
n: ((int)sqrtf(ldc*8+1.0f)-1)/2
:extra:
ldc: integer
:fortran_help: " SUBROUTINE CHFRK( TRANSR, UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C )\n\n\
* Purpose\n\
* =======\n\
*\n\
* Level 3 BLAS like routine for C in RFP Format.\n\
*\n\
* CHFRK performs one of the Hermitian rank--k operations\n\
*\n\
* C := alpha*A*conjg( A' ) + beta*C,\n\
*\n\
* or\n\
*\n\
* C := alpha*conjg( A' )*A + beta*C,\n\
*\n\
* where alpha and beta are real scalars, C is an n--by--n Hermitian\n\
* matrix and A is an n--by--k matrix in the first case and a k--by--n\n\
* matrix in the second case.\n\
*\n\n\
* Arguments\n\
* ==========\n\
*\n\
* TRANSR (input) CHARACTER*1\n\
* = 'N': The Normal Form of RFP A is stored;\n\
* = 'C': The Conjugate-transpose Form of RFP A is stored.\n\
*\n\
* UPLO (input) CHARACTER*1\n\
* On entry, UPLO specifies whether the upper or lower\n\
* triangular part of the array C is to be referenced as\n\
* follows:\n\
*\n\
* UPLO = 'U' or 'u' Only the upper triangular part of C\n\
* is to be referenced.\n\
*\n\
* UPLO = 'L' or 'l' Only the lower triangular part of C\n\
* is to be referenced.\n\
*\n\
* Unchanged on exit.\n\
*\n\
* TRANS (input) CHARACTER*1\n\
* On entry, TRANS specifies the operation to be performed as\n\
* follows:\n\
*\n\
* TRANS = 'N' or 'n' C := alpha*A*conjg( A' ) + beta*C.\n\
*\n\
* TRANS = 'C' or 'c' C := alpha*conjg( A' )*A + beta*C.\n\
*\n\
* Unchanged on exit.\n\
*\n\
* N (input) INTEGER\n\
* On entry, N specifies the order of the matrix C. N must be\n\
* at least zero.\n\
* Unchanged on exit.\n\
*\n\
* K (input) INTEGER\n\
* On entry with TRANS = 'N' or 'n', K specifies the number\n\
* of columns of the matrix A, and on entry with\n\
* TRANS = 'C' or 'c', K specifies the number of rows of the\n\
* matrix A. K must be at least zero.\n\
* Unchanged on exit.\n\
*\n\
* ALPHA (input) REAL\n\
* On entry, ALPHA specifies the scalar alpha.\n\
* Unchanged on exit.\n\
*\n\
* A (input) COMPLEX array, dimension (LDA,ka)\n\
* where KA\n\
* is K when TRANS = 'N' or 'n', and is N otherwise. Before\n\
* entry with TRANS = 'N' or 'n', the leading N--by--K part of\n\
* the array A must contain the matrix A, otherwise the leading\n\
* K--by--N part of the array A must contain the matrix A.\n\
* Unchanged on exit.\n\
*\n\
* LDA (input) INTEGER\n\
* On entry, LDA specifies the first dimension of A as declared\n\
* in the calling (sub) program. When TRANS = 'N' or 'n'\n\
* then LDA must be at least max( 1, n ), otherwise LDA must\n\
* be at least max( 1, k ).\n\
* Unchanged on exit.\n\
*\n\
* BETA (input) REAL\n\
* On entry, BETA specifies the scalar beta.\n\
* Unchanged on exit.\n\
*\n\
* C (input/output) COMPLEX array, dimension (N*(N+1)/2)\n\
* On entry, the matrix A in RFP Format. RFP Format is\n\
* described by TRANSR, UPLO and N. Note that the imaginary\n\
* parts of the diagonal elements need not be set, they are\n\
* assumed to be zero, and on exit they are set to zero.\n\
*\n\
* Arguments\n\
* ==========\n\
*\n\
* ..\n"
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