LAPACK 3.12.0 LAPACK: Linear Algebra PACKage
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## ◆ srscl()

 subroutine srscl ( integer n, real sa, real, dimension( * ) sx, integer incx )

SRSCL multiplies a vector by the reciprocal of a real scalar.

Purpose:
``` SRSCL multiplies an n-element real vector x by the real scalar 1/a.
This is done without overflow or underflow as long as
the final result x/a does not overflow or underflow.```
Parameters
 [in] N ``` N is INTEGER The number of components of the vector x.``` [in] SA ``` SA is REAL The scalar a which is used to divide each component of x. SA must be >= 0, or the subroutine will divide by zero.``` [in,out] SX ``` SX is REAL array, dimension (1+(N-1)*abs(INCX)) The n-element vector x.``` [in] INCX ``` INCX is INTEGER The increment between successive values of the vector SX. > 0: SX(1) = X(1) and SX(1+(i-1)*INCX) = x(i), 1< i<= n```

Definition at line 83 of file srscl.f.

84*
85* -- LAPACK auxiliary routine --
86* -- LAPACK is a software package provided by Univ. of Tennessee, --
87* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
88*
89* .. Scalar Arguments ..
90 INTEGER INCX, N
91 REAL SA
92* ..
93* .. Array Arguments ..
94 REAL SX( * )
95* ..
96*
97* =====================================================================
98*
99* .. Parameters ..
100 REAL ONE, ZERO
101 parameter( one = 1.0e+0, zero = 0.0e+0 )
102* ..
103* .. Local Scalars ..
104 LOGICAL DONE
105 REAL BIGNUM, CDEN, CDEN1, CNUM, CNUM1, MUL, SMLNUM
106* ..
107* .. External Functions ..
108 REAL SLAMCH
109 EXTERNAL slamch
110* ..
111* .. External Subroutines ..
112 EXTERNAL sscal
113* ..
114* .. Intrinsic Functions ..
115 INTRINSIC abs
116* ..
117* .. Executable Statements ..
118*
119* Quick return if possible
120*
121 IF( n.LE.0 )
122 \$ RETURN
123*
124* Get machine parameters
125*
126 smlnum = slamch( 'S' )
127 bignum = one / smlnum
128*
129* Initialize the denominator to SA and the numerator to 1.
130*
131 cden = sa
132 cnum = one
133*
134 10 CONTINUE
135 cden1 = cden*smlnum
136 cnum1 = cnum / bignum
137 IF( abs( cden1 ).GT.abs( cnum ) .AND. cnum.NE.zero ) THEN
138*
139* Pre-multiply X by SMLNUM if CDEN is large compared to CNUM.
140*
141 mul = smlnum
142 done = .false.
143 cden = cden1
144 ELSE IF( abs( cnum1 ).GT.abs( cden ) ) THEN
145*
146* Pre-multiply X by BIGNUM if CDEN is small compared to CNUM.
147*
148 mul = bignum
149 done = .false.
150 cnum = cnum1
151 ELSE
152*
153* Multiply X by CNUM / CDEN and return.
154*
155 mul = cnum / cden
156 done = .true.
157 END IF
158*
159* Scale the vector X by MUL
160*
161 CALL sscal( n, mul, sx, incx )
162*
163 IF( .NOT.done )
164 \$ GO TO 10
165*
166 RETURN
167*
168* End of SRSCL
169*
real function slamch(cmach)
SLAMCH
Definition slamch.f:68
subroutine sscal(n, sa, sx, incx)
SSCAL
Definition sscal.f:79
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