Mercurial > hg > octave-lyh

annotate libcruft/blas/ssyrk.f @ 7500:2df882e69f13

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
use QR decomposition and normalization for polyfit; normalization for polyval
author Ben Abbott <bpabbott@mac.com>
date Tue, 19 Feb 2008 07:28:40 -0500
parents 024ef171aec3
children 82be108cc558
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
4347
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
1 SUBROUTINE SSYRK ( UPLO, TRANS, N, K, ALPHA, A, LDA,
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
2 $ BETA, C, LDC )
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
3 * .. Scalar Arguments ..
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
4 CHARACTER*1 UPLO, TRANS
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
5 INTEGER N, K, LDA, LDC
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
6 REAL ALPHA, BETA
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
7 * .. Array Arguments ..
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
8 REAL A( LDA, * ), C( LDC, * )
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
9 * ..
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
10 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
11 * Purpose
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
12 * =======
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
13 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
14 * SSYRK performs one of the symmetric rank k operations
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
15 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
16 * C := alpha*A*A' + beta*C,
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
17 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
18 * or
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
19 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
20 * C := alpha*A'*A + beta*C,
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
21 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
22 * where alpha and beta are scalars, C is an n by n symmetric matrix
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
23 * and A is an n by k matrix in the first case and a k by n matrix
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
24 * in the second case.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
25 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
26 * Parameters
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
27 * ==========
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
28 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
29 * UPLO - CHARACTER*1.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
30 * On entry, UPLO specifies whether the upper or lower
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
31 * triangular part of the array C is to be referenced as
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
32 * follows:
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
33 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
34 * UPLO = 'U' or 'u' Only the upper triangular part of C
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
35 * is to be referenced.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
36 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
37 * UPLO = 'L' or 'l' Only the lower triangular part of C
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
38 * is to be referenced.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
39 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
40 * Unchanged on exit.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
41 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
42 * TRANS - CHARACTER*1.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
43 * On entry, TRANS specifies the operation to be performed as
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
44 * follows:
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
45 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
46 * TRANS = 'N' or 'n' C := alpha*A*A' + beta*C.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
47 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
48 * TRANS = 'T' or 't' C := alpha*A'*A + beta*C.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
49 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
50 * TRANS = 'C' or 'c' C := alpha*A'*A + beta*C.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
51 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
52 * Unchanged on exit.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
53 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
54 * N - INTEGER.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
55 * On entry, N specifies the order of the matrix C. N must be
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
56 * at least zero.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
57 * Unchanged on exit.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
58 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
59 * K - INTEGER.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
60 * On entry with TRANS = 'N' or 'n', K specifies the number
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
61 * of columns of the matrix A, and on entry with
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
62 * TRANS = 'T' or 't' or 'C' or 'c', K specifies the number
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
63 * of rows of the matrix A. K must be at least zero.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
64 * Unchanged on exit.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
65 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
66 * ALPHA - REAL .
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
67 * On entry, ALPHA specifies the scalar alpha.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
68 * Unchanged on exit.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
69 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
70 * A - REAL array of DIMENSION ( LDA, ka ), where ka is
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
71 * k when TRANS = 'N' or 'n', and is n otherwise.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
72 * Before entry with TRANS = 'N' or 'n', the leading n by k
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
73 * part of the array A must contain the matrix A, otherwise
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
74 * the leading k by n part of the array A must contain the
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
75 * matrix A.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
76 * Unchanged on exit.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
77 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
78 * LDA - INTEGER.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
79 * On entry, LDA specifies the first dimension of A as declared
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
80 * in the calling (sub) program. When TRANS = 'N' or 'n'
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
81 * then LDA must be at least max( 1, n ), otherwise LDA must
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
82 * be at least max( 1, k ).
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
83 * Unchanged on exit.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
84 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
85 * BETA - REAL .
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
86 * On entry, BETA specifies the scalar beta.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
87 * Unchanged on exit.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
88 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
89 * C - REAL array of DIMENSION ( LDC, n ).
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
90 * Before entry with UPLO = 'U' or 'u', the leading n by n
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
91 * upper triangular part of the array C must contain the upper
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
92 * triangular part of the symmetric matrix and the strictly
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
93 * lower triangular part of C is not referenced. On exit, the
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
94 * upper triangular part of the array C is overwritten by the
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
95 * upper triangular part of the updated matrix.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
96 * Before entry with UPLO = 'L' or 'l', the leading n by n
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
97 * lower triangular part of the array C must contain the lower
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
98 * triangular part of the symmetric matrix and the strictly
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
99 * upper triangular part of C is not referenced. On exit, the
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
100 * lower triangular part of the array C is overwritten by the
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
101 * lower triangular part of the updated matrix.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
102 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
103 * LDC - INTEGER.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
104 * On entry, LDC specifies the first dimension of C as declared
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
105 * in the calling (sub) program. LDC must be at least
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
106 * max( 1, n ).
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
107 * Unchanged on exit.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
108 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
109 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
110 * Level 3 Blas routine.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
111 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
112 * -- Written on 8-February-1989.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
113 * Jack Dongarra, Argonne National Laboratory.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
114 * Iain Duff, AERE Harwell.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
115 * Jeremy Du Croz, Numerical Algorithms Group Ltd.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
116 * Sven Hammarling, Numerical Algorithms Group Ltd.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
117 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
118 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
119 * .. External Functions ..
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
120 LOGICAL LSAME
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
121 EXTERNAL LSAME
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
122 * .. External Subroutines ..
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
123 EXTERNAL XERBLA
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
124 * .. Intrinsic Functions ..
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
125 INTRINSIC MAX
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
126 * .. Local Scalars ..
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
127 LOGICAL UPPER
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
128 INTEGER I, INFO, J, L, NROWA
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
129 REAL TEMP
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
130 * .. Parameters ..
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
131 REAL ONE , ZERO
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
132 PARAMETER ( ONE = 1.0E+0, ZERO = 0.0E+0 )
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
133 * ..
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
134 * .. Executable Statements ..
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
135 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
136 * Test the input parameters.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
137 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
138 IF( LSAME( TRANS, 'N' ) )THEN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
139 NROWA = N
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
140 ELSE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
141 NROWA = K
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
142 END IF
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
143 UPPER = LSAME( UPLO, 'U' )
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
144 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
145 INFO = 0
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
146 IF( ( .NOT.UPPER ).AND.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
147 $ ( .NOT.LSAME( UPLO , 'L' ) ) )THEN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
148 INFO = 1
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
149 ELSE IF( ( .NOT.LSAME( TRANS, 'N' ) ).AND.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
150 $ ( .NOT.LSAME( TRANS, 'T' ) ).AND.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
151 $ ( .NOT.LSAME( TRANS, 'C' ) ) )THEN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
152 INFO = 2
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
153 ELSE IF( N .LT.0 )THEN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
154 INFO = 3
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
155 ELSE IF( K .LT.0 )THEN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
156 INFO = 4
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
157 ELSE IF( LDA.LT.MAX( 1, NROWA ) )THEN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
158 INFO = 7
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
159 ELSE IF( LDC.LT.MAX( 1, N ) )THEN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
160 INFO = 10
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
161 END IF
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
162 IF( INFO.NE.0 )THEN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
163 CALL XERBLA( 'SSYRK ', INFO )
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
164 RETURN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
165 END IF
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
166 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
167 * Quick return if possible.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
168 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
169 IF( ( N.EQ.0 ).OR.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
170 $ ( ( ( ALPHA.EQ.ZERO ).OR.( K.EQ.0 ) ).AND.( BETA.EQ.ONE ) ) )
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
171 $ RETURN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
172 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
173 * And when alpha.eq.zero.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
174 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
175 IF( ALPHA.EQ.ZERO )THEN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
176 IF( UPPER )THEN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
177 IF( BETA.EQ.ZERO )THEN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
178 DO 20, J = 1, N
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
179 DO 10, I = 1, J
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
180 C( I, J ) = ZERO
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
181 10 CONTINUE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
182 20 CONTINUE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
183 ELSE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
184 DO 40, J = 1, N
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
185 DO 30, I = 1, J
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
186 C( I, J ) = BETA*C( I, J )
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
187 30 CONTINUE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
188 40 CONTINUE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
189 END IF
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
190 ELSE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
191 IF( BETA.EQ.ZERO )THEN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
192 DO 60, J = 1, N
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
193 DO 50, I = J, N
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
194 C( I, J ) = ZERO
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
195 50 CONTINUE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
196 60 CONTINUE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
197 ELSE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
198 DO 80, J = 1, N
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
199 DO 70, I = J, N
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
200 C( I, J ) = BETA*C( I, J )
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
201 70 CONTINUE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
202 80 CONTINUE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
203 END IF
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
204 END IF
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
205 RETURN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
206 END IF
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
207 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
208 * Start the operations.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
209 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
210 IF( LSAME( TRANS, 'N' ) )THEN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
211 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
212 * Form C := alpha*A*A' + beta*C.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
213 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
214 IF( UPPER )THEN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
215 DO 130, J = 1, N
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
216 IF( BETA.EQ.ZERO )THEN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
217 DO 90, I = 1, J
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
218 C( I, J ) = ZERO
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
219 90 CONTINUE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
220 ELSE IF( BETA.NE.ONE )THEN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
221 DO 100, I = 1, J
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
222 C( I, J ) = BETA*C( I, J )
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
223 100 CONTINUE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
224 END IF
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
225 DO 120, L = 1, K
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
226 IF( A( J, L ).NE.ZERO )THEN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
227 TEMP = ALPHA*A( J, L )
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
228 DO 110, I = 1, J
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
229 C( I, J ) = C( I, J ) + TEMP*A( I, L )
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
230 110 CONTINUE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
231 END IF
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
232 120 CONTINUE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
233 130 CONTINUE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
234 ELSE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
235 DO 180, J = 1, N
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
236 IF( BETA.EQ.ZERO )THEN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
237 DO 140, I = J, N
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
238 C( I, J ) = ZERO
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
239 140 CONTINUE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
240 ELSE IF( BETA.NE.ONE )THEN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
241 DO 150, I = J, N
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
242 C( I, J ) = BETA*C( I, J )
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
243 150 CONTINUE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
244 END IF
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
245 DO 170, L = 1, K
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
246 IF( A( J, L ).NE.ZERO )THEN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
247 TEMP = ALPHA*A( J, L )
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
248 DO 160, I = J, N
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
249 C( I, J ) = C( I, J ) + TEMP*A( I, L )
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
250 160 CONTINUE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
251 END IF
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
252 170 CONTINUE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
253 180 CONTINUE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
254 END IF
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
255 ELSE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
256 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
257 * Form C := alpha*A'*A + beta*C.
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
258 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
259 IF( UPPER )THEN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
260 DO 210, J = 1, N
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
261 DO 200, I = 1, J
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
262 TEMP = ZERO
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
263 DO 190, L = 1, K
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
264 TEMP = TEMP + A( L, I )*A( L, J )
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
265 190 CONTINUE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
266 IF( BETA.EQ.ZERO )THEN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
267 C( I, J ) = ALPHA*TEMP
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
268 ELSE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
269 C( I, J ) = ALPHA*TEMP + BETA*C( I, J )
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
270 END IF
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
271 200 CONTINUE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
272 210 CONTINUE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
273 ELSE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
274 DO 240, J = 1, N
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
275 DO 230, I = J, N
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
276 TEMP = ZERO
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
277 DO 220, L = 1, K
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
278 TEMP = TEMP + A( L, I )*A( L, J )
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
279 220 CONTINUE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
280 IF( BETA.EQ.ZERO )THEN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
281 C( I, J ) = ALPHA*TEMP
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
282 ELSE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
283 C( I, J ) = ALPHA*TEMP + BETA*C( I, J )
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
284 END IF
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
285 230 CONTINUE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
286 240 CONTINUE
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
287 END IF
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
288 END IF
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
289 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
290 RETURN
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
291 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
292 * End of SSYRK .
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
293 *
024ef171aec3 [project @ 2003-02-20 23:31:46 by jwe]
jwe
parents:
diff changeset
294 END