LAPACK  3.9.0
LAPACK: Linear Algebra PACKage

◆ drotm()

subroutine drotm ( integer  N,
double precision, dimension(*)  DX,
integer  INCX,
double precision, dimension(*)  DY,
integer  INCY,
double precision, dimension(5)  DPARAM 
)

DROTM

Purpose:
    APPLY THE MODIFIED GIVENS TRANSFORMATION, H, TO THE 2 BY N MATRIX

    (DX**T) , WHERE **T INDICATES TRANSPOSE. THE ELEMENTS OF DX ARE IN
    (DY**T)

    DX(LX+I*INCX), I = 0 TO N-1, WHERE LX = 1 IF INCX .GE. 0, ELSE
    LX = (-INCX)*N, AND SIMILARLY FOR SY USING LY AND INCY.
    WITH DPARAM(1)=DFLAG, H HAS ONE OF THE FOLLOWING FORMS..

    DFLAG=-1.D0     DFLAG=0.D0        DFLAG=1.D0     DFLAG=-2.D0

      (DH11  DH12)    (1.D0  DH12)    (DH11  1.D0)    (1.D0  0.D0)
    H=(          )    (          )    (          )    (          )
      (DH21  DH22),   (DH21  1.D0),   (-1.D0 DH22),   (0.D0  1.D0).
    SEE DROTMG FOR A DESCRIPTION OF DATA STORAGE IN DPARAM.
Parameters
[in]N
          N is INTEGER
         number of elements in input vector(s)
[in,out]DX
          DX is DOUBLE PRECISION array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
[in]INCX
          INCX is INTEGER
         storage spacing between elements of DX
[in,out]DY
          DY is DOUBLE PRECISION array, dimension ( 1 + ( N - 1 )*abs( INCY ) )
[in]INCY
          INCY is INTEGER
         storage spacing between elements of DY
[in]DPARAM
          DPARAM is DOUBLE PRECISION array, dimension (5)
     DPARAM(1)=DFLAG
     DPARAM(2)=DH11
     DPARAM(3)=DH21
     DPARAM(4)=DH12
     DPARAM(5)=DH22
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date
November 2017

Definition at line 98 of file drotm.f.

98 *
99 * -- Reference BLAS level1 routine (version 3.8.0) --
100 * -- Reference BLAS is a software package provided by Univ. of Tennessee, --
101 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
102 * November 2017
103 *
104 * .. Scalar Arguments ..
105  INTEGER INCX,INCY,N
106 * ..
107 * .. Array Arguments ..
108  DOUBLE PRECISION DPARAM(5),DX(*),DY(*)
109 * ..
110 *
111 * =====================================================================
112 *
113 * .. Local Scalars ..
114  DOUBLE PRECISION DFLAG,DH11,DH12,DH21,DH22,TWO,W,Z,ZERO
115  INTEGER I,KX,KY,NSTEPS
116 * ..
117 * .. Data statements ..
118  DATA zero,two/0.d0,2.d0/
119 * ..
120 *
121  dflag = dparam(1)
122  IF (n.LE.0 .OR. (dflag+two.EQ.zero)) RETURN
123  IF (incx.EQ.incy.AND.incx.GT.0) THEN
124 *
125  nsteps = n*incx
126  IF (dflag.LT.zero) THEN
127  dh11 = dparam(2)
128  dh12 = dparam(4)
129  dh21 = dparam(3)
130  dh22 = dparam(5)
131  DO i = 1,nsteps,incx
132  w = dx(i)
133  z = dy(i)
134  dx(i) = w*dh11 + z*dh12
135  dy(i) = w*dh21 + z*dh22
136  END DO
137  ELSE IF (dflag.EQ.zero) THEN
138  dh12 = dparam(4)
139  dh21 = dparam(3)
140  DO i = 1,nsteps,incx
141  w = dx(i)
142  z = dy(i)
143  dx(i) = w + z*dh12
144  dy(i) = w*dh21 + z
145  END DO
146  ELSE
147  dh11 = dparam(2)
148  dh22 = dparam(5)
149  DO i = 1,nsteps,incx
150  w = dx(i)
151  z = dy(i)
152  dx(i) = w*dh11 + z
153  dy(i) = -w + dh22*z
154  END DO
155  END IF
156  ELSE
157  kx = 1
158  ky = 1
159  IF (incx.LT.0) kx = 1 + (1-n)*incx
160  IF (incy.LT.0) ky = 1 + (1-n)*incy
161 *
162  IF (dflag.LT.zero) THEN
163  dh11 = dparam(2)
164  dh12 = dparam(4)
165  dh21 = dparam(3)
166  dh22 = dparam(5)
167  DO i = 1,n
168  w = dx(kx)
169  z = dy(ky)
170  dx(kx) = w*dh11 + z*dh12
171  dy(ky) = w*dh21 + z*dh22
172  kx = kx + incx
173  ky = ky + incy
174  END DO
175  ELSE IF (dflag.EQ.zero) THEN
176  dh12 = dparam(4)
177  dh21 = dparam(3)
178  DO i = 1,n
179  w = dx(kx)
180  z = dy(ky)
181  dx(kx) = w + z*dh12
182  dy(ky) = w*dh21 + z
183  kx = kx + incx
184  ky = ky + incy
185  END DO
186  ELSE
187  dh11 = dparam(2)
188  dh22 = dparam(5)
189  DO i = 1,n
190  w = dx(kx)
191  z = dy(ky)
192  dx(kx) = w*dh11 + z
193  dy(ky) = -w + dh22*z
194  kx = kx + incx
195  ky = ky + incy
196  END DO
197  END IF
198  END IF
199  RETURN
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