ScaLAPACK 2.1  2.1
ScaLAPACK: Scalable Linear Algebra PACKage
sagemv.f
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1  SUBROUTINE sagemv( TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y,
2  $ INCY )
3 *
4 * -- PBLAS auxiliary routine (version 2.0) --
5 * University of Tennessee, Knoxville, Oak Ridge National Laboratory,
6 * and University of California, Berkeley.
7 * April 1, 1998
8 *
9 * .. Scalar Arguments ..
10  CHARACTER*1 TRANS
11  INTEGER INCX, INCY, LDA, M, N
12  REAL ALPHA, BETA
13 * ..
14 * .. Array Arguments ..
15  REAL A( LDA, * ), X( * ), Y( * )
16 * ..
17 *
18 * Purpose
19 * =======
20 *
21 * SAGEMV performs one of the matrix-vector operations
22 *
23 * y := abs( alpha )*abs( A )*abs( x )+ abs( beta*y ),
24 *
25 * or
26 *
27 * y := abs( alpha )*abs( A' )*abs( x ) + abs( beta*y ),
28 *
29 * where alpha and beta are real scalars, y is a real vector, x is a
30 * vector and A is an m by n matrix.
31 *
32 * Arguments
33 * =========
34 *
35 * TRANS (input) CHARACTER*1
36 * On entry, TRANS specifies the operation to be performed as
37 * follows:
38 *
39 * TRANS = 'N' or 'n':
40 * y := abs( alpha )*abs( A )*abs( x )+ abs( beta*y )
41 *
42 * TRANS = 'T' or 't':
43 * y := abs( alpha )*abs( A' )*abs( x ) + abs( beta*y )
44 *
45 * TRANS = 'C' or 'c':
46 * y := abs( alpha )*abs( A' )*abs( x ) + abs( beta*y )
47 *
48 * M (input) INTEGER
49 * On entry, M specifies the number of rows of the matrix A. M
50 * must be at least zero.
51 *
52 * N (input) INTEGER
53 * On entry, N specifies the number of columns of the matrix A.
54 * N must be at least zero.
55 *
56 * ALPHA (input) REAL
57 * On entry, ALPHA specifies the real scalar alpha.
58 *
59 * A (input) REAL array of dimension ( LDA, n ).
60 * On entry, A is an array of dimension ( LDA, N ). The leading
61 * m by n part of the array A must contain the matrix of coef-
62 * ficients.
63 *
64 * LDA (input) INTEGER
65 * On entry, LDA specifies the leading dimension of the array A.
66 * LDA must be at least max( 1, M ).
67 *
68 * X (input) REAL array of dimension at least
69 * ( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = 'N' or 'n' and at
70 * least ( 1 + ( m - 1 )*abs( INCX ) ) otherwise. Before entry,
71 * the incremented array X must contain the vector x.
72 *
73 * INCX (input) INTEGER
74 * On entry, INCX specifies the increment for the elements of X.
75 * INCX must not be zero.
76 *
77 * BETA (input) REAL
78 * On entry, BETA specifies the real scalar beta. When BETA is
79 * supplied as zero then Y need not be set on input.
80 *
81 * Y (input/output) REAL array of dimension at least
82 * ( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N' or 'n' and at
83 * least ( 1 + ( n - 1 )*abs( INCY ) ) otherwise. Before entry
84 * with BETA non-zero, the incremented array Y must contain the
85 * vector y. On exit, the incremented array Y is overwritten by
86 * the updated vector y.
87 *
88 * INCY (input) INTEGER
89 * On entry, INCY specifies the increment for the elements of Y.
90 * INCY must not be zero.
91 *
92 * -- Written on April 1, 1998 by
93 * Antoine Petitet, University of Tennessee, Knoxville 37996, USA.
94 *
95 * =====================================================================
96 *
97 * .. Parameters ..
98  REAL ONE, ZERO
99  parameter( one = 1.0e+0, zero = 0.0e+0 )
100 * ..
101 * .. Local Scalars ..
102  INTEGER I, INFO, IX, IY, J, JX, JY, KX, KY, LENX, LENY
103  REAL ABSX, TALPHA, TEMP
104 * ..
105 * .. External Functions ..
106  LOGICAL LSAME
107  EXTERNAL lsame
108 * ..
109 * .. External Subroutines ..
110  EXTERNAL xerbla
111 * ..
112 * .. Intrinsic Functions ..
113  INTRINSIC abs, max
114 * ..
115 * .. Executable Statements ..
116 *
117 * Test the input parameters.
118 *
119  info = 0
120  IF( .NOT.lsame( trans, 'N' ) .AND.
121  $ .NOT.lsame( trans, 'T' ) .AND.
122  $ .NOT.lsame( trans, 'C' ) ) THEN
123  info = 1
124  ELSE IF( m.LT.0 ) THEN
125  info = 2
126  ELSE IF( n.LT.0 ) THEN
127  info = 3
128  ELSE IF( lda.LT.max( 1, m ) ) THEN
129  info = 6
130  ELSE IF( incx.EQ.0 ) THEN
131  info = 8
132  ELSE IF( incy.EQ.0 ) THEN
133  info = 11
134  END IF
135  IF( info.NE.0 ) THEN
136  CALL xerbla( 'SAGEMV', info )
137  RETURN
138  END IF
139 *
140 * Quick return if possible.
141 *
142  IF( ( m.EQ.0 ).OR.( n.EQ.0 ).OR.
143  $ ( ( alpha.EQ.zero ).AND.( beta.EQ.one ) ) )
144  $ RETURN
145 *
146 * Set LENX and LENY, the lengths of the vectors x and y, and set
147 * up the start points in X and Y.
148 *
149  IF( lsame( trans, 'N' ) ) THEN
150  lenx = n
151  leny = m
152  ELSE
153  lenx = m
154  leny = n
155  END IF
156  IF( incx.GT.0 ) THEN
157  kx = 1
158  ELSE
159  kx = 1 - ( lenx - 1 )*incx
160  END IF
161  IF( incy.GT.0 ) THEN
162  ky = 1
163  ELSE
164  ky = 1 - ( leny - 1 )*incy
165  END IF
166 *
167 * Start the operations. In this version the elements of A are
168 * accessed sequentially with one pass through A.
169 *
170 * First form y := abs( beta*y ).
171 *
172  IF( incy.EQ.1 ) THEN
173  IF( beta.EQ.zero ) THEN
174  DO 10, i = 1, leny
175  y( i ) = zero
176  10 CONTINUE
177  ELSE IF( beta.EQ.one ) THEN
178  DO 20, i = 1, leny
179  y( i ) = abs( y( i ) )
180  20 CONTINUE
181  ELSE
182  DO 30, i = 1, leny
183  y( i ) = abs( beta * y( i ) )
184  30 CONTINUE
185  END IF
186  ELSE
187  iy = ky
188  IF( beta.EQ.zero ) THEN
189  DO 40, i = 1, leny
190  y( iy ) = zero
191  iy = iy + incy
192  40 CONTINUE
193  ELSE IF( beta.EQ.one ) THEN
194  DO 50, i = 1, leny
195  y( iy ) = abs( y( iy ) )
196  iy = iy + incy
197  50 CONTINUE
198  ELSE
199  DO 60, i = 1, leny
200  y( iy ) = abs( beta * y( iy ) )
201  iy = iy + incy
202  60 CONTINUE
203  END IF
204  END IF
205 *
206  IF( alpha.EQ.zero )
207  $ RETURN
208 *
209  talpha = abs( alpha )
210 *
211  IF( lsame( trans, 'N' ) ) THEN
212 *
213 * Form y := abs( alpha ) * abs( A ) * abs( x ) + y.
214 *
215  jx = kx
216  IF( incy.EQ.1 ) THEN
217  DO 80, j = 1, n
218  absx = abs( x( jx ) )
219  IF( absx.NE.zero ) THEN
220  temp = talpha * absx
221  DO 70, i = 1, m
222  y( i ) = y( i ) + temp * abs( a( i, j ) )
223  70 CONTINUE
224  END IF
225  jx = jx + incx
226  80 CONTINUE
227  ELSE
228  DO 100, j = 1, n
229  absx = abs( x( jx ) )
230  IF( absx.NE.zero ) THEN
231  temp = talpha * absx
232  iy = ky
233  DO 90, i = 1, m
234  y( iy ) = y( iy ) + temp * abs( a( i, j ) )
235  iy = iy + incy
236  90 CONTINUE
237  END IF
238  jx = jx + incx
239  100 CONTINUE
240  END IF
241 *
242  ELSE
243 *
244 * Form y := abs( alpha ) * abs( A' ) * abs( x ) + y.
245 *
246  jy = ky
247  IF( incx.EQ.1 ) THEN
248  DO 120, j = 1, n
249  temp = zero
250  DO 110, i = 1, m
251  temp = temp + abs( a( i, j ) * x( i ) )
252  110 CONTINUE
253  y( jy ) = y( jy ) + talpha * temp
254  jy = jy + incy
255  120 CONTINUE
256  ELSE
257  DO 140, j = 1, n
258  temp = zero
259  ix = kx
260  DO 130, i = 1, m
261  temp = temp + abs( a( i, j ) * x( ix ) )
262  ix = ix + incx
263  130 CONTINUE
264  y( jy ) = y( jy ) + talpha * temp
265  jy = jy + incy
266  140 CONTINUE
267  END IF
268  END IF
269 *
270  RETURN
271 *
272 * End of SAGEMV
273 *
274  END
max
#define max(A, B)
Definition: pcgemr.c:180
sagemv
subroutine sagemv(TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
Definition: sagemv.f:3