LAPACK  3.7.1
LAPACK: Linear Algebra PACKage
saxpy.f
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1 *> \brief \b SAXPY
2 *
3 * =========== DOCUMENTATION ===========
4 *
5 * Online html documentation available at
6 * http://www.netlib.org/lapack/explore-html/
7 *
8 * Definition:
9 * ===========
10 *
11 * SUBROUTINE SAXPY(N,SA,SX,INCX,SY,INCY)
12 *
13 * .. Scalar Arguments ..
14 * REAL SA
15 * INTEGER INCX,INCY,N
16 * ..
17 * .. Array Arguments ..
18 * REAL SX(*),SY(*)
19 * ..
20 *
21 *
22 *> \par Purpose:
23 * =============
24 *>
25 *> \verbatim
26 *>
27 *> SAXPY constant times a vector plus a vector.
28 *> uses unrolled loops for increments equal to one.
29 *> \endverbatim
30 *
31 * Arguments:
32 * ==========
33 *
34 *> \param[in] N
35 *> \verbatim
36 *> N is INTEGER
37 *> number of elements in input vector(s)
38 *> \endverbatim
39 *>
40 *> \param[in] SA
41 *> \verbatim
42 *> SA is REAL
43 *> On entry, SA specifies the scalar alpha.
44 *> \endverbatim
45 *>
46 *> \param[in] SX
47 *> \verbatim
48 *> SX is REAL array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
49 *> \endverbatim
50 *>
51 *> \param[in] INCX
52 *> \verbatim
53 *> INCX is INTEGER
54 *> storage spacing between elements of SX
55 *> \endverbatim
56 *>
57 *> \param[in,out] SY
58 *> \verbatim
59 *> SY is REAL array, dimension ( 1 + ( N - 1 )*abs( INCY ) )
60 *> \endverbatim
61 *>
62 *> \param[in] INCY
63 *> \verbatim
64 *> INCY is INTEGER
65 *> storage spacing between elements of SY
66 *> \endverbatim
67 *
68 * Authors:
69 * ========
70 *
71 *> \author Univ. of Tennessee
72 *> \author Univ. of California Berkeley
73 *> \author Univ. of Colorado Denver
74 *> \author NAG Ltd.
75 *
76 *> \date December 2016
77 *
78 *> \ingroup single_blas_level1
79 *
80 *> \par Further Details:
81 * =====================
82 *>
83 *> \verbatim
84 *>
85 *> jack dongarra, linpack, 3/11/78.
86 *> modified 12/3/93, array(1) declarations changed to array(*)
87 *> \endverbatim
88 *>
89 * =====================================================================
90  SUBROUTINE saxpy(N,SA,SX,INCX,SY,INCY)
91 *
92 * -- Reference BLAS level1 routine (version 3.7.0) --
93 * -- Reference BLAS is a software package provided by Univ. of Tennessee, --
94 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
95 * December 2016
96 *
97 * .. Scalar Arguments ..
98  REAL SA
99  INTEGER INCX,INCY,N
100 * ..
101 * .. Array Arguments ..
102  REAL SX(*),SY(*)
103 * ..
104 *
105 * =====================================================================
106 *
107 * .. Local Scalars ..
108  INTEGER I,IX,IY,M,MP1
109 * ..
110 * .. Intrinsic Functions ..
111  INTRINSIC mod
112 * ..
113  IF (n.LE.0) RETURN
114  IF (sa.EQ.0.0) RETURN
115  IF (incx.EQ.1 .AND. incy.EQ.1) THEN
116 *
117 * code for both increments equal to 1
118 *
119 *
120 * clean-up loop
121 *
122  m = mod(n,4)
123  IF (m.NE.0) THEN
124  DO i = 1,m
125  sy(i) = sy(i) + sa*sx(i)
126  END DO
127  END IF
128  IF (n.LT.4) RETURN
129  mp1 = m + 1
130  DO i = mp1,n,4
131  sy(i) = sy(i) + sa*sx(i)
132  sy(i+1) = sy(i+1) + sa*sx(i+1)
133  sy(i+2) = sy(i+2) + sa*sx(i+2)
134  sy(i+3) = sy(i+3) + sa*sx(i+3)
135  END DO
136  ELSE
137 *
138 * code for unequal increments or equal increments
139 * not equal to 1
140 *
141  ix = 1
142  iy = 1
143  IF (incx.LT.0) ix = (-n+1)*incx + 1
144  IF (incy.LT.0) iy = (-n+1)*incy + 1
145  DO i = 1,n
146  sy(iy) = sy(iy) + sa*sx(ix)
147  ix = ix + incx
148  iy = iy + incy
149  END DO
150  END IF
151  RETURN
152  END
subroutine saxpy(N, SA, SX, INCX, SY, INCY)
SAXPY
Definition: saxpy.f:91