1346 lines
52 KiB
C
1346 lines
52 KiB
C
*> \brief \b DBLAT1
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*
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* =========== DOCUMENTATION ===========
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*
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* Online html documentation available at
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* http://www.netlib.org/lapack/explore-html/
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*
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* Definition:
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* ===========
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*
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* PROGRAM DBLAT1
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*
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*
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*> \par Purpose:
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* =============
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*>
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*> \verbatim
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*>
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*> Test program for the DOUBLE PRECISION Level 1 BLAS.
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*>
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*> Based upon the original BLAS test routine together with:
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*> F06EAF Example Program Text
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*> \endverbatim
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*
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* Authors:
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* ========
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*
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*> \author Univ. of Tennessee
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*> \author Univ. of California Berkeley
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*> \author Univ. of Colorado Denver
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*> \author NAG Ltd.
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*
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*> \ingroup double_blas_testing
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*
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* =====================================================================
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PROGRAM DBLAT1
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*
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* -- Reference BLAS test routine --
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* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
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* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
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*
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* =====================================================================
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*
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* .. Parameters ..
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INTEGER NOUT
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PARAMETER (NOUT=6)
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* .. Scalars in Common ..
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INTEGER ICASE, INCX, INCY, N
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LOGICAL PASS
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* .. Local Scalars ..
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DOUBLE PRECISION SFAC
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INTEGER IC
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* .. External Subroutines ..
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EXTERNAL CHECK0, CHECK1, CHECK2, CHECK3, HEADER
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* .. Common blocks ..
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COMMON /COMBLA/ICASE, N, INCX, INCY, PASS
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* .. Data statements ..
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DATA SFAC/9.765625D-4/
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* .. Executable Statements ..
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WRITE (NOUT,99999)
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DO 20 IC = 1, 13
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ICASE = IC
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CALL HEADER
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*
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* .. Initialize PASS, INCX, and INCY for a new case. ..
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* .. the value 9999 for INCX or INCY will appear in the ..
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* .. detailed output, if any, for cases that do not involve ..
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* .. these parameters ..
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*
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PASS = .TRUE.
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INCX = 9999
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INCY = 9999
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IF (ICASE.EQ.3 .OR. ICASE.EQ.11) THEN
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CALL CHECK0(SFAC)
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ELSE IF (ICASE.EQ.7 .OR. ICASE.EQ.8 .OR. ICASE.EQ.9 .OR.
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+ ICASE.EQ.10) THEN
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CALL CHECK1(SFAC)
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ELSE IF (ICASE.EQ.1 .OR. ICASE.EQ.2 .OR. ICASE.EQ.5 .OR.
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+ ICASE.EQ.6 .OR. ICASE.EQ.12 .OR. ICASE.EQ.13) THEN
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CALL CHECK2(SFAC)
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ELSE IF (ICASE.EQ.4) THEN
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CALL CHECK3(SFAC)
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END IF
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* -- Print
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IF (PASS) WRITE (NOUT,99998)
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20 CONTINUE
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STOP
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*
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99999 FORMAT (' Real BLAS Test Program Results',/1X)
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99998 FORMAT (' ----- PASS -----')
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*
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* End of DBLAT1
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*
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END
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SUBROUTINE HEADER
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* .. Parameters ..
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INTEGER NOUT
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PARAMETER (NOUT=6)
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* .. Scalars in Common ..
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INTEGER ICASE, INCX, INCY, N
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LOGICAL PASS
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* .. Local Arrays ..
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CHARACTER*6 L(13)
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* .. Common blocks ..
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COMMON /COMBLA/ICASE, N, INCX, INCY, PASS
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* .. Data statements ..
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DATA L(1)/' DDOT '/
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DATA L(2)/'DAXPY '/
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DATA L(3)/'DROTG '/
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DATA L(4)/' DROT '/
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DATA L(5)/'DCOPY '/
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DATA L(6)/'DSWAP '/
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DATA L(7)/'DNRM2 '/
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DATA L(8)/'DASUM '/
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DATA L(9)/'DSCAL '/
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DATA L(10)/'IDAMAX'/
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DATA L(11)/'DROTMG'/
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DATA L(12)/'DROTM '/
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DATA L(13)/'DSDOT '/
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* .. Executable Statements ..
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WRITE (NOUT,99999) ICASE, L(ICASE)
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RETURN
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*
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99999 FORMAT (/' Test of subprogram number',I3,12X,A6)
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*
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* End of HEADER
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*
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END
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SUBROUTINE CHECK0(SFAC)
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* .. Parameters ..
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INTEGER NOUT
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PARAMETER (NOUT=6)
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* .. Scalar Arguments ..
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DOUBLE PRECISION SFAC
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* .. Scalars in Common ..
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INTEGER ICASE, INCX, INCY, N
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LOGICAL PASS
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* .. Local Scalars ..
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DOUBLE PRECISION SA, SB, SC, SS, D12
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INTEGER I, K
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* .. Local Arrays ..
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DOUBLE PRECISION DA1(8), DATRUE(8), DB1(8), DBTRUE(8), DC1(8),
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$ DS1(8), DAB(4,9), DTEMP(9), DTRUE(9,9)
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* .. External Subroutines ..
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EXTERNAL DROTG, DROTMG, STEST, STEST1
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* .. Common blocks ..
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COMMON /COMBLA/ICASE, N, INCX, INCY, PASS
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* .. Data statements ..
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DATA DA1/0.3D0, 0.4D0, -0.3D0, -0.4D0, -0.3D0, 0.0D0,
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+ 0.0D0, 1.0D0/
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DATA DB1/0.4D0, 0.3D0, 0.4D0, 0.3D0, -0.4D0, 0.0D0,
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+ 1.0D0, 0.0D0/
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DATA DC1/0.6D0, 0.8D0, -0.6D0, 0.8D0, 0.6D0, 1.0D0,
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+ 0.0D0, 1.0D0/
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DATA DS1/0.8D0, 0.6D0, 0.8D0, -0.6D0, 0.8D0, 0.0D0,
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+ 1.0D0, 0.0D0/
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DATA DATRUE/0.5D0, 0.5D0, 0.5D0, -0.5D0, -0.5D0,
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+ 0.0D0, 1.0D0, 1.0D0/
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DATA DBTRUE/0.0D0, 0.6D0, 0.0D0, -0.6D0, 0.0D0,
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+ 0.0D0, 1.0D0, 0.0D0/
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* INPUT FOR MODIFIED GIVENS
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DATA DAB/ .1D0,.3D0,1.2D0,.2D0,
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A .7D0, .2D0, .6D0, 4.2D0,
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B 0.D0,0.D0,0.D0,0.D0,
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C 4.D0, -1.D0, 2.D0, 4.D0,
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D 6.D-10, 2.D-2, 1.D5, 10.D0,
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E 4.D10, 2.D-2, 1.D-5, 10.D0,
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F 2.D-10, 4.D-2, 1.D5, 10.D0,
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G 2.D10, 4.D-2, 1.D-5, 10.D0,
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H 4.D0, -2.D0, 8.D0, 4.D0 /
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* TRUE RESULTS FOR MODIFIED GIVENS
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DATA DTRUE/0.D0,0.D0, 1.3D0, .2D0, 0.D0,0.D0,0.D0, .5D0, 0.D0,
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A 0.D0,0.D0, 4.5D0, 4.2D0, 1.D0, .5D0, 0.D0,0.D0,0.D0,
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B 0.D0,0.D0,0.D0,0.D0, -2.D0, 0.D0,0.D0,0.D0,0.D0,
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C 0.D0,0.D0,0.D0, 4.D0, -1.D0, 0.D0,0.D0,0.D0,0.D0,
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D 0.D0, 15.D-3, 0.D0, 10.D0, -1.D0, 0.D0, -1.D-4,
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E 0.D0, 1.D0,
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F 0.D0,0.D0, 6144.D-5, 10.D0, -1.D0, 4096.D0, -1.D6,
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G 0.D0, 1.D0,
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H 0.D0,0.D0,15.D0,10.D0,-1.D0, 5.D-5, 0.D0,1.D0,0.D0,
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I 0.D0,0.D0, 15.D0, 10.D0, -1. D0, 5.D5, -4096.D0,
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J 1.D0, 4096.D-6,
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K 0.D0,0.D0, 7.D0, 4.D0, 0.D0,0.D0, -.5D0, -.25D0, 0.D0/
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* 4096 = 2 ** 12
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DATA D12 /4096.D0/
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DTRUE(1,1) = 12.D0 / 130.D0
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DTRUE(2,1) = 36.D0 / 130.D0
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DTRUE(7,1) = -1.D0 / 6.D0
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DTRUE(1,2) = 14.D0 / 75.D0
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DTRUE(2,2) = 49.D0 / 75.D0
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DTRUE(9,2) = 1.D0 / 7.D0
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DTRUE(1,5) = 45.D-11 * (D12 * D12)
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DTRUE(3,5) = 4.D5 / (3.D0 * D12)
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DTRUE(6,5) = 1.D0 / D12
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DTRUE(8,5) = 1.D4 / (3.D0 * D12)
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DTRUE(1,6) = 4.D10 / (1.5D0 * D12 * D12)
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DTRUE(2,6) = 2.D-2 / 1.5D0
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DTRUE(8,6) = 5.D-7 * D12
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DTRUE(1,7) = 4.D0 / 150.D0
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DTRUE(2,7) = (2.D-10 / 1.5D0) * (D12 * D12)
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DTRUE(7,7) = -DTRUE(6,5)
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DTRUE(9,7) = 1.D4 / D12
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DTRUE(1,8) = DTRUE(1,7)
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DTRUE(2,8) = 2.D10 / (1.5D0 * D12 * D12)
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DTRUE(1,9) = 32.D0 / 7.D0
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DTRUE(2,9) = -16.D0 / 7.D0
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* .. Executable Statements ..
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*
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* Compute true values which cannot be prestored
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* in decimal notation
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*
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DBTRUE(1) = 1.0D0/0.6D0
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DBTRUE(3) = -1.0D0/0.6D0
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DBTRUE(5) = 1.0D0/0.6D0
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*
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DO 20 K = 1, 8
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* .. Set N=K for identification in output if any ..
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N = K
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IF (ICASE.EQ.3) THEN
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* .. DROTG ..
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IF (K.GT.8) GO TO 40
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SA = DA1(K)
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SB = DB1(K)
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CALL DROTG(SA,SB,SC,SS)
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CALL STEST1(SA,DATRUE(K),DATRUE(K),SFAC)
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CALL STEST1(SB,DBTRUE(K),DBTRUE(K),SFAC)
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CALL STEST1(SC,DC1(K),DC1(K),SFAC)
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CALL STEST1(SS,DS1(K),DS1(K),SFAC)
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ELSEIF (ICASE.EQ.11) THEN
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* .. DROTMG ..
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DO I=1,4
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DTEMP(I)= DAB(I,K)
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DTEMP(I+4) = 0.0
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END DO
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DTEMP(9) = 0.0
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CALL DROTMG(DTEMP(1),DTEMP(2),DTEMP(3),DTEMP(4),DTEMP(5))
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CALL STEST(9,DTEMP,DTRUE(1,K),DTRUE(1,K),SFAC)
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ELSE
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WRITE (NOUT,*) ' Shouldn''t be here in CHECK0'
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STOP
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END IF
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20 CONTINUE
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40 RETURN
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*
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* End of CHECK0
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*
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END
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SUBROUTINE CHECK1(SFAC)
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* .. Parameters ..
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DOUBLE PRECISION THRESH
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INTEGER NOUT
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PARAMETER (NOUT=6, THRESH=10.0D0)
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* .. Scalar Arguments ..
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DOUBLE PRECISION SFAC
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* .. Scalars in Common ..
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INTEGER ICASE, INCX, INCY, N
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LOGICAL PASS
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* .. Local Scalars ..
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INTEGER I, IX, LEN, NP1
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* .. Local Arrays ..
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DOUBLE PRECISION DTRUE1(5), DTRUE3(5), DTRUE5(8,5,2), DV(8,5,2),
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+ DVR(8), SA(10), STEMP(1), STRUE(8), SX(8),
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+ SXR(15)
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INTEGER ITRUE2(5), ITRUEC(5)
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* .. External Functions ..
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DOUBLE PRECISION DASUM, DNRM2
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INTEGER IDAMAX
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EXTERNAL DASUM, DNRM2, IDAMAX
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* .. External Subroutines ..
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EXTERNAL ITEST1, DB1NRM2, DSCAL, STEST, STEST1
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* .. Intrinsic Functions ..
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INTRINSIC MAX
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* .. Common blocks ..
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COMMON /COMBLA/ICASE, N, INCX, INCY, PASS
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* .. Data statements ..
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DATA SA/0.3D0, -1.0D0, 0.0D0, 1.0D0, 0.3D0, 0.3D0,
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+ 0.3D0, 0.3D0, 0.3D0, 0.3D0/
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DATA DV/0.1D0, 2.0D0, 2.0D0, 2.0D0, 2.0D0, 2.0D0,
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+ 2.0D0, 2.0D0, 0.3D0, 3.0D0, 3.0D0, 3.0D0, 3.0D0,
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+ 3.0D0, 3.0D0, 3.0D0, 0.3D0, -0.4D0, 4.0D0,
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+ 4.0D0, 4.0D0, 4.0D0, 4.0D0, 4.0D0, 0.2D0,
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+ -0.6D0, 0.3D0, 5.0D0, 5.0D0, 5.0D0, 5.0D0,
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+ 5.0D0, 0.1D0, -0.3D0, 0.5D0, -0.1D0, 6.0D0,
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+ 6.0D0, 6.0D0, 6.0D0, 0.1D0, 8.0D0, 8.0D0, 8.0D0,
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+ 8.0D0, 8.0D0, 8.0D0, 8.0D0, 0.3D0, 9.0D0, 9.0D0,
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+ 9.0D0, 9.0D0, 9.0D0, 9.0D0, 9.0D0, 0.3D0, 2.0D0,
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+ -0.4D0, 2.0D0, 2.0D0, 2.0D0, 2.0D0, 2.0D0,
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+ 0.2D0, 3.0D0, -0.6D0, 5.0D0, 0.3D0, 2.0D0,
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+ 2.0D0, 2.0D0, 0.1D0, 4.0D0, -0.3D0, 6.0D0,
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+ -0.5D0, 7.0D0, -0.1D0, 3.0D0/
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DATA DVR/8.0D0, -7.0D0, 9.0D0, 5.0D0, 9.0D0, 8.0D0,
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+ 7.0D0, 7.0D0/
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DATA DTRUE1/0.0D0, 0.3D0, 0.5D0, 0.7D0, 0.6D0/
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DATA DTRUE3/0.0D0, 0.3D0, 0.7D0, 1.1D0, 1.0D0/
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DATA DTRUE5/0.10D0, 2.0D0, 2.0D0, 2.0D0, 2.0D0,
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+ 2.0D0, 2.0D0, 2.0D0, -0.3D0, 3.0D0, 3.0D0,
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+ 3.0D0, 3.0D0, 3.0D0, 3.0D0, 3.0D0, 0.0D0, 0.0D0,
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+ 4.0D0, 4.0D0, 4.0D0, 4.0D0, 4.0D0, 4.0D0,
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+ 0.20D0, -0.60D0, 0.30D0, 5.0D0, 5.0D0, 5.0D0,
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+ 5.0D0, 5.0D0, 0.03D0, -0.09D0, 0.15D0, -0.03D0,
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+ 6.0D0, 6.0D0, 6.0D0, 6.0D0, 0.10D0, 8.0D0,
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+ 8.0D0, 8.0D0, 8.0D0, 8.0D0, 8.0D0, 8.0D0,
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+ 0.09D0, 9.0D0, 9.0D0, 9.0D0, 9.0D0, 9.0D0,
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+ 9.0D0, 9.0D0, 0.09D0, 2.0D0, -0.12D0, 2.0D0,
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+ 2.0D0, 2.0D0, 2.0D0, 2.0D0, 0.06D0, 3.0D0,
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+ -0.18D0, 5.0D0, 0.09D0, 2.0D0, 2.0D0, 2.0D0,
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+ 0.03D0, 4.0D0, -0.09D0, 6.0D0, -0.15D0, 7.0D0,
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+ -0.03D0, 3.0D0/
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DATA ITRUE2/0, 1, 2, 2, 3/
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DATA ITRUEC/0, 1, 1, 1, 1/
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* .. Executable Statements ..
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DO 80 INCX = 1, 2
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DO 60 NP1 = 1, 5
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N = NP1 - 1
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LEN = 2*MAX(N,1)
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* .. Set vector arguments ..
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DO 20 I = 1, LEN
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SX(I) = DV(I,NP1,INCX)
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20 CONTINUE
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*
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IF (ICASE.EQ.7) THEN
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* .. DNRM2 ..
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* Test scaling when some entries are tiny or huge
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CALL DB1NRM2(N,(INCX-2)*2,THRESH)
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CALL DB1NRM2(N,INCX,THRESH)
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* Test with hardcoded mid range entries
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STEMP(1) = DTRUE1(NP1)
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CALL STEST1(DNRM2(N,SX,INCX),STEMP(1),STEMP,SFAC)
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ELSE IF (ICASE.EQ.8) THEN
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* .. DASUM ..
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STEMP(1) = DTRUE3(NP1)
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CALL STEST1(DASUM(N,SX,INCX),STEMP(1),STEMP,SFAC)
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ELSE IF (ICASE.EQ.9) THEN
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* .. DSCAL ..
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CALL DSCAL(N,SA((INCX-1)*5+NP1),SX,INCX)
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DO 40 I = 1, LEN
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STRUE(I) = DTRUE5(I,NP1,INCX)
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40 CONTINUE
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CALL STEST(LEN,SX,STRUE,STRUE,SFAC)
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ELSE IF (ICASE.EQ.10) THEN
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* .. IDAMAX ..
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CALL ITEST1(IDAMAX(N,SX,INCX),ITRUE2(NP1))
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DO 100 I = 1, LEN
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SX(I) = 42.0D0
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100 CONTINUE
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CALL ITEST1(IDAMAX(N,SX,INCX),ITRUEC(NP1))
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ELSE
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WRITE (NOUT,*) ' Shouldn''t be here in CHECK1'
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STOP
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END IF
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60 CONTINUE
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IF (ICASE.EQ.10) THEN
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N = 8
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IX = 1
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DO 120 I = 1, N
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SXR(IX) = DVR(I)
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IX = IX + INCX
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120 CONTINUE
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CALL ITEST1(IDAMAX(N,SXR,INCX),3)
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END IF
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80 CONTINUE
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RETURN
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*
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* End of CHECK1
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*
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END
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SUBROUTINE CHECK2(SFAC)
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* .. Parameters ..
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INTEGER NOUT
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PARAMETER (NOUT=6)
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* .. Scalar Arguments ..
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DOUBLE PRECISION SFAC
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* .. Scalars in Common ..
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INTEGER ICASE, INCX, INCY, N
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LOGICAL PASS
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* .. Local Scalars ..
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DOUBLE PRECISION SA
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INTEGER I, J, KI, KN, KNI, KPAR, KSIZE, LENX, LENY,
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$ LINCX, LINCY, MX, MY
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* .. Local Arrays ..
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DOUBLE PRECISION DT10X(7,4,4), DT10Y(7,4,4), DT7(4,4),
|
|
$ DT8(7,4,4), DX1(7),
|
|
$ DY1(7), SSIZE1(4), SSIZE2(14,2), SSIZE(7),
|
|
$ STX(7), STY(7), SX(7), SY(7),
|
|
$ DPAR(5,4), DT19X(7,4,16),DT19XA(7,4,4),
|
|
$ DT19XB(7,4,4), DT19XC(7,4,4),DT19XD(7,4,4),
|
|
$ DT19Y(7,4,16), DT19YA(7,4,4),DT19YB(7,4,4),
|
|
$ DT19YC(7,4,4), DT19YD(7,4,4), DTEMP(5),
|
|
$ STY0(1), SX0(1), SY0(1)
|
|
INTEGER INCXS(4), INCYS(4), LENS(4,2), NS(4)
|
|
* .. External Functions ..
|
|
DOUBLE PRECISION DDOT, DSDOT
|
|
EXTERNAL DDOT, DSDOT
|
|
* .. External Subroutines ..
|
|
EXTERNAL DAXPY, DCOPY, DROTM, DSWAP, STEST, STEST1,
|
|
$ TESTDSDOT
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC ABS, MIN
|
|
* .. Common blocks ..
|
|
COMMON /COMBLA/ICASE, N, INCX, INCY, PASS
|
|
* .. Data statements ..
|
|
EQUIVALENCE (DT19X(1,1,1),DT19XA(1,1,1)),(DT19X(1,1,5),
|
|
A DT19XB(1,1,1)),(DT19X(1,1,9),DT19XC(1,1,1)),
|
|
B (DT19X(1,1,13),DT19XD(1,1,1))
|
|
EQUIVALENCE (DT19Y(1,1,1),DT19YA(1,1,1)),(DT19Y(1,1,5),
|
|
A DT19YB(1,1,1)),(DT19Y(1,1,9),DT19YC(1,1,1)),
|
|
B (DT19Y(1,1,13),DT19YD(1,1,1))
|
|
|
|
DATA SA/0.3D0/
|
|
DATA INCXS/1, 2, -2, -1/
|
|
DATA INCYS/1, -2, 1, -2/
|
|
DATA LENS/1, 1, 2, 4, 1, 1, 3, 7/
|
|
DATA NS/0, 1, 2, 4/
|
|
DATA DX1/0.6D0, 0.1D0, -0.5D0, 0.8D0, 0.9D0, -0.3D0,
|
|
+ -0.4D0/
|
|
DATA DY1/0.5D0, -0.9D0, 0.3D0, 0.7D0, -0.6D0, 0.2D0,
|
|
+ 0.8D0/
|
|
DATA DT7/0.0D0, 0.30D0, 0.21D0, 0.62D0, 0.0D0,
|
|
+ 0.30D0, -0.07D0, 0.85D0, 0.0D0, 0.30D0, -0.79D0,
|
|
+ -0.74D0, 0.0D0, 0.30D0, 0.33D0, 1.27D0/
|
|
DATA DT8/0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.68D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.68D0, -0.87D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.68D0, -0.87D0, 0.15D0,
|
|
+ 0.94D0, 0.0D0, 0.0D0, 0.0D0, 0.5D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.68D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.35D0, -0.9D0, 0.48D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.38D0, -0.9D0, 0.57D0, 0.7D0, -0.75D0,
|
|
+ 0.2D0, 0.98D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.68D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.35D0, -0.72D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.38D0,
|
|
+ -0.63D0, 0.15D0, 0.88D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.68D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.68D0, -0.9D0, 0.33D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.68D0, -0.9D0, 0.33D0, 0.7D0,
|
|
+ -0.75D0, 0.2D0, 1.04D0/
|
|
DATA DT10X/0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.5D0, -0.9D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.5D0, -0.9D0, 0.3D0, 0.7D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.6D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.3D0, 0.1D0, 0.5D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.8D0, 0.1D0, -0.6D0,
|
|
+ 0.8D0, 0.3D0, -0.3D0, 0.5D0, 0.6D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.5D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, -0.9D0,
|
|
+ 0.1D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.7D0,
|
|
+ 0.1D0, 0.3D0, 0.8D0, -0.9D0, -0.3D0, 0.5D0,
|
|
+ 0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.5D0, 0.3D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.5D0, 0.3D0, -0.6D0, 0.8D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0/
|
|
DATA DT10Y/0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.6D0, 0.1D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.6D0, 0.1D0, -0.5D0, 0.8D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, -0.5D0, -0.9D0, 0.6D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, -0.4D0, -0.9D0, 0.9D0,
|
|
+ 0.7D0, -0.5D0, 0.2D0, 0.6D0, 0.5D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.6D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, -0.5D0,
|
|
+ 0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ -0.4D0, 0.9D0, -0.5D0, 0.6D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.6D0, -0.9D0, 0.1D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.6D0, -0.9D0, 0.1D0, 0.7D0,
|
|
+ -0.5D0, 0.2D0, 0.8D0/
|
|
DATA SSIZE1/0.0D0, 0.3D0, 1.6D0, 3.2D0/
|
|
DATA SSIZE2/0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0,
|
|
+ 1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0,
|
|
+ 1.17D0, 1.17D0, 1.17D0/
|
|
*
|
|
* FOR DROTM
|
|
*
|
|
DATA DPAR/-2.D0, 0.D0,0.D0,0.D0,0.D0,
|
|
A -1.D0, 2.D0, -3.D0, -4.D0, 5.D0,
|
|
B 0.D0, 0.D0, 2.D0, -3.D0, 0.D0,
|
|
C 1.D0, 5.D0, 2.D0, 0.D0, -4.D0/
|
|
* TRUE X RESULTS F0R ROTATIONS DROTM
|
|
DATA DT19XA/.6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
A .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
B .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
C .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
D .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
E -.8D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
F -.9D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
G 3.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
H .6D0, .1D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
I -.8D0, 3.8D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
J -.9D0, 2.8D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
K 3.5D0, -.4D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
L .6D0, .1D0, -.5D0, .8D0, 0.D0,0.D0,0.D0,
|
|
M -.8D0, 3.8D0, -2.2D0, -1.2D0, 0.D0,0.D0,0.D0,
|
|
N -.9D0, 2.8D0, -1.4D0, -1.3D0, 0.D0,0.D0,0.D0,
|
|
O 3.5D0, -.4D0, -2.2D0, 4.7D0, 0.D0,0.D0,0.D0/
|
|
*
|
|
DATA DT19XB/.6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
A .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
B .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
C .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
D .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
E -.8D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
F -.9D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
G 3.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
H .6D0, .1D0, -.5D0, 0.D0,0.D0,0.D0,0.D0,
|
|
I 0.D0, .1D0, -3.0D0, 0.D0,0.D0,0.D0,0.D0,
|
|
J -.3D0, .1D0, -2.0D0, 0.D0,0.D0,0.D0,0.D0,
|
|
K 3.3D0, .1D0, -2.0D0, 0.D0,0.D0,0.D0,0.D0,
|
|
L .6D0, .1D0, -.5D0, .8D0, .9D0, -.3D0, -.4D0,
|
|
M -2.0D0, .1D0, 1.4D0, .8D0, .6D0, -.3D0, -2.8D0,
|
|
N -1.8D0, .1D0, 1.3D0, .8D0, 0.D0, -.3D0, -1.9D0,
|
|
O 3.8D0, .1D0, -3.1D0, .8D0, 4.8D0, -.3D0, -1.5D0 /
|
|
*
|
|
DATA DT19XC/.6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
A .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
B .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
C .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
D .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
E -.8D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
F -.9D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
G 3.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
H .6D0, .1D0, -.5D0, 0.D0,0.D0,0.D0,0.D0,
|
|
I 4.8D0, .1D0, -3.0D0, 0.D0,0.D0,0.D0,0.D0,
|
|
J 3.3D0, .1D0, -2.0D0, 0.D0,0.D0,0.D0,0.D0,
|
|
K 2.1D0, .1D0, -2.0D0, 0.D0,0.D0,0.D0,0.D0,
|
|
L .6D0, .1D0, -.5D0, .8D0, .9D0, -.3D0, -.4D0,
|
|
M -1.6D0, .1D0, -2.2D0, .8D0, 5.4D0, -.3D0, -2.8D0,
|
|
N -1.5D0, .1D0, -1.4D0, .8D0, 3.6D0, -.3D0, -1.9D0,
|
|
O 3.7D0, .1D0, -2.2D0, .8D0, 3.6D0, -.3D0, -1.5D0 /
|
|
*
|
|
DATA DT19XD/.6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
A .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
B .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
C .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
D .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
E -.8D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
F -.9D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
G 3.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
H .6D0, .1D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
I -.8D0, -1.0D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
J -.9D0, -.8D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
K 3.5D0, .8D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
L .6D0, .1D0, -.5D0, .8D0, 0.D0,0.D0,0.D0,
|
|
M -.8D0, -1.0D0, 1.4D0, -1.6D0, 0.D0,0.D0,0.D0,
|
|
N -.9D0, -.8D0, 1.3D0, -1.6D0, 0.D0,0.D0,0.D0,
|
|
O 3.5D0, .8D0, -3.1D0, 4.8D0, 0.D0,0.D0,0.D0/
|
|
* TRUE Y RESULTS FOR ROTATIONS DROTM
|
|
DATA DT19YA/.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
A .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
B .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
C .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
D .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
E .7D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
F 1.7D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
G -2.6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
H .5D0, -.9D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
I .7D0, -4.8D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
J 1.7D0, -.7D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
K -2.6D0, 3.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
L .5D0, -.9D0, .3D0, .7D0, 0.D0,0.D0,0.D0,
|
|
M .7D0, -4.8D0, 3.0D0, 1.1D0, 0.D0,0.D0,0.D0,
|
|
N 1.7D0, -.7D0, -.7D0, 2.3D0, 0.D0,0.D0,0.D0,
|
|
O -2.6D0, 3.5D0, -.7D0, -3.6D0, 0.D0,0.D0,0.D0/
|
|
*
|
|
DATA DT19YB/.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
A .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
B .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
C .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
D .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
E .7D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
F 1.7D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
G -2.6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
H .5D0, -.9D0, .3D0, 0.D0,0.D0,0.D0,0.D0,
|
|
I 4.0D0, -.9D0, -.3D0, 0.D0,0.D0,0.D0,0.D0,
|
|
J -.5D0, -.9D0, 1.5D0, 0.D0,0.D0,0.D0,0.D0,
|
|
K -1.5D0, -.9D0, -1.8D0, 0.D0,0.D0,0.D0,0.D0,
|
|
L .5D0, -.9D0, .3D0, .7D0, -.6D0, .2D0, .8D0,
|
|
M 3.7D0, -.9D0, -1.2D0, .7D0, -1.5D0, .2D0, 2.2D0,
|
|
N -.3D0, -.9D0, 2.1D0, .7D0, -1.6D0, .2D0, 2.0D0,
|
|
O -1.6D0, -.9D0, -2.1D0, .7D0, 2.9D0, .2D0, -3.8D0 /
|
|
*
|
|
DATA DT19YC/.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
A .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
B .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
C .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
D .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
E .7D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
F 1.7D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
G -2.6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
H .5D0, -.9D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
I 4.0D0, -6.3D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
J -.5D0, .3D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
K -1.5D0, 3.0D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
L .5D0, -.9D0, .3D0, .7D0, 0.D0,0.D0,0.D0,
|
|
M 3.7D0, -7.2D0, 3.0D0, 1.7D0, 0.D0,0.D0,0.D0,
|
|
N -.3D0, .9D0, -.7D0, 1.9D0, 0.D0,0.D0,0.D0,
|
|
O -1.6D0, 2.7D0, -.7D0, -3.4D0, 0.D0,0.D0,0.D0/
|
|
*
|
|
DATA DT19YD/.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
A .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
B .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
C .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
D .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
E .7D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
F 1.7D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
G -2.6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
|
|
H .5D0, -.9D0, .3D0, 0.D0,0.D0,0.D0,0.D0,
|
|
I .7D0, -.9D0, 1.2D0, 0.D0,0.D0,0.D0,0.D0,
|
|
J 1.7D0, -.9D0, .5D0, 0.D0,0.D0,0.D0,0.D0,
|
|
K -2.6D0, -.9D0, -1.3D0, 0.D0,0.D0,0.D0,0.D0,
|
|
L .5D0, -.9D0, .3D0, .7D0, -.6D0, .2D0, .8D0,
|
|
M .7D0, -.9D0, 1.2D0, .7D0, -1.5D0, .2D0, 1.6D0,
|
|
N 1.7D0, -.9D0, .5D0, .7D0, -1.6D0, .2D0, 2.4D0,
|
|
O -2.6D0, -.9D0, -1.3D0, .7D0, 2.9D0, .2D0, -4.0D0 /
|
|
*
|
|
* .. Executable Statements ..
|
|
*
|
|
DO 120 KI = 1, 4
|
|
INCX = INCXS(KI)
|
|
INCY = INCYS(KI)
|
|
MX = ABS(INCX)
|
|
MY = ABS(INCY)
|
|
*
|
|
DO 100 KN = 1, 4
|
|
N = NS(KN)
|
|
KSIZE = MIN(2,KN)
|
|
LENX = LENS(KN,MX)
|
|
LENY = LENS(KN,MY)
|
|
* .. Initialize all argument arrays ..
|
|
DO 20 I = 1, 7
|
|
SX(I) = DX1(I)
|
|
SY(I) = DY1(I)
|
|
20 CONTINUE
|
|
*
|
|
IF (ICASE.EQ.1) THEN
|
|
* .. DDOT ..
|
|
CALL STEST1(DDOT(N,SX,INCX,SY,INCY),DT7(KN,KI),SSIZE1(KN)
|
|
+ ,SFAC)
|
|
ELSE IF (ICASE.EQ.2) THEN
|
|
* .. DAXPY ..
|
|
CALL DAXPY(N,SA,SX,INCX,SY,INCY)
|
|
DO 40 J = 1, LENY
|
|
STY(J) = DT8(J,KN,KI)
|
|
40 CONTINUE
|
|
CALL STEST(LENY,SY,STY,SSIZE2(1,KSIZE),SFAC)
|
|
ELSE IF (ICASE.EQ.5) THEN
|
|
* .. DCOPY ..
|
|
DO 60 I = 1, 7
|
|
STY(I) = DT10Y(I,KN,KI)
|
|
60 CONTINUE
|
|
CALL DCOPY(N,SX,INCX,SY,INCY)
|
|
CALL STEST(LENY,SY,STY,SSIZE2(1,1),1.0D0)
|
|
IF (KI.EQ.1) THEN
|
|
SX0(1) = 42.0D0
|
|
SY0(1) = 43.0D0
|
|
IF (N.EQ.0) THEN
|
|
STY0(1) = SY0(1)
|
|
ELSE
|
|
STY0(1) = SX0(1)
|
|
END IF
|
|
LINCX = INCX
|
|
INCX = 0
|
|
LINCY = INCY
|
|
INCY = 0
|
|
CALL DCOPY(N,SX0,INCX,SY0,INCY)
|
|
CALL STEST(1,SY0,STY0,SSIZE2(1,1),1.0D0)
|
|
INCX = LINCX
|
|
INCY = LINCY
|
|
END IF
|
|
ELSE IF (ICASE.EQ.6) THEN
|
|
* .. DSWAP ..
|
|
CALL DSWAP(N,SX,INCX,SY,INCY)
|
|
DO 80 I = 1, 7
|
|
STX(I) = DT10X(I,KN,KI)
|
|
STY(I) = DT10Y(I,KN,KI)
|
|
80 CONTINUE
|
|
CALL STEST(LENX,SX,STX,SSIZE2(1,1),1.0D0)
|
|
CALL STEST(LENY,SY,STY,SSIZE2(1,1),1.0D0)
|
|
ELSE IF (ICASE.EQ.12) THEN
|
|
* .. DROTM ..
|
|
KNI=KN+4*(KI-1)
|
|
DO KPAR=1,4
|
|
DO I=1,7
|
|
SX(I) = DX1(I)
|
|
SY(I) = DY1(I)
|
|
STX(I)= DT19X(I,KPAR,KNI)
|
|
STY(I)= DT19Y(I,KPAR,KNI)
|
|
END DO
|
|
*
|
|
DO I=1,5
|
|
DTEMP(I) = DPAR(I,KPAR)
|
|
END DO
|
|
*
|
|
DO I=1,LENX
|
|
SSIZE(I)=STX(I)
|
|
END DO
|
|
* SEE REMARK ABOVE ABOUT DT11X(1,2,7)
|
|
* AND DT11X(5,3,8).
|
|
IF ((KPAR .EQ. 2) .AND. (KNI .EQ. 7))
|
|
$ SSIZE(1) = 2.4D0
|
|
IF ((KPAR .EQ. 3) .AND. (KNI .EQ. 8))
|
|
$ SSIZE(5) = 1.8D0
|
|
*
|
|
CALL DROTM(N,SX,INCX,SY,INCY,DTEMP)
|
|
CALL STEST(LENX,SX,STX,SSIZE,SFAC)
|
|
CALL STEST(LENY,SY,STY,STY,SFAC)
|
|
END DO
|
|
ELSE IF (ICASE.EQ.13) THEN
|
|
* .. DSDOT ..
|
|
CALL TESTDSDOT(REAL(DSDOT(N,REAL(SX),INCX,REAL(SY),INCY)),
|
|
$ REAL(DT7(KN,KI)),REAL(SSIZE1(KN)), .3125E-1)
|
|
ELSE
|
|
WRITE (NOUT,*) ' Shouldn''t be here in CHECK2'
|
|
STOP
|
|
END IF
|
|
100 CONTINUE
|
|
120 CONTINUE
|
|
RETURN
|
|
*
|
|
* End of CHECK2
|
|
*
|
|
END
|
|
SUBROUTINE CHECK3(SFAC)
|
|
* .. Parameters ..
|
|
INTEGER NOUT
|
|
PARAMETER (NOUT=6)
|
|
* .. Scalar Arguments ..
|
|
DOUBLE PRECISION SFAC
|
|
* .. Scalars in Common ..
|
|
INTEGER ICASE, INCX, INCY, N
|
|
LOGICAL PASS
|
|
* .. Local Scalars ..
|
|
DOUBLE PRECISION SC, SS
|
|
INTEGER I, K, KI, KN, KSIZE, LENX, LENY, MX, MY
|
|
* .. Local Arrays ..
|
|
DOUBLE PRECISION COPYX(5), COPYY(5), DT9X(7,4,4), DT9Y(7,4,4),
|
|
+ DX1(7), DY1(7), MWPC(11), MWPS(11), MWPSTX(5),
|
|
+ MWPSTY(5), MWPTX(11,5), MWPTY(11,5), MWPX(5),
|
|
+ MWPY(5), SSIZE2(14,2), STX(7), STY(7), SX(7),
|
|
+ SY(7)
|
|
INTEGER INCXS(4), INCYS(4), LENS(4,2), MWPINX(11),
|
|
+ MWPINY(11), MWPN(11), NS(4)
|
|
* .. External Subroutines ..
|
|
EXTERNAL DROT, STEST
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC ABS, MIN
|
|
* .. Common blocks ..
|
|
COMMON /COMBLA/ICASE, N, INCX, INCY, PASS
|
|
* .. Data statements ..
|
|
DATA INCXS/1, 2, -2, -1/
|
|
DATA INCYS/1, -2, 1, -2/
|
|
DATA LENS/1, 1, 2, 4, 1, 1, 3, 7/
|
|
DATA NS/0, 1, 2, 4/
|
|
DATA DX1/0.6D0, 0.1D0, -0.5D0, 0.8D0, 0.9D0, -0.3D0,
|
|
+ -0.4D0/
|
|
DATA DY1/0.5D0, -0.9D0, 0.3D0, 0.7D0, -0.6D0, 0.2D0,
|
|
+ 0.8D0/
|
|
DATA SC, SS/0.8D0, 0.6D0/
|
|
DATA DT9X/0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.78D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.78D0, -0.46D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.78D0, -0.46D0, -0.22D0,
|
|
+ 1.06D0, 0.0D0, 0.0D0, 0.0D0, 0.6D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.78D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.66D0, 0.1D0, -0.1D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.96D0, 0.1D0, -0.76D0, 0.8D0, 0.90D0,
|
|
+ -0.3D0, -0.02D0, 0.6D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.78D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.0D0, -0.06D0, 0.1D0,
|
|
+ -0.1D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.90D0,
|
|
+ 0.1D0, -0.22D0, 0.8D0, 0.18D0, -0.3D0, -0.02D0,
|
|
+ 0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.78D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.78D0, 0.26D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.78D0, 0.26D0, -0.76D0, 1.12D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0/
|
|
DATA DT9Y/0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.04D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.04D0, -0.78D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.04D0, -0.78D0, 0.54D0,
|
|
+ 0.08D0, 0.0D0, 0.0D0, 0.0D0, 0.5D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.04D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.7D0,
|
|
+ -0.9D0, -0.12D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.64D0, -0.9D0, -0.30D0, 0.7D0, -0.18D0, 0.2D0,
|
|
+ 0.28D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.04D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.7D0, -1.08D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.64D0, -1.26D0,
|
|
+ 0.54D0, 0.20D0, 0.0D0, 0.0D0, 0.0D0, 0.5D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.04D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.04D0, -0.9D0, 0.18D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.04D0, -0.9D0, 0.18D0, 0.7D0,
|
|
+ -0.18D0, 0.2D0, 0.16D0/
|
|
DATA SSIZE2/0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
|
|
+ 0.0D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0,
|
|
+ 1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0,
|
|
+ 1.17D0, 1.17D0, 1.17D0/
|
|
* .. Executable Statements ..
|
|
*
|
|
DO 60 KI = 1, 4
|
|
INCX = INCXS(KI)
|
|
INCY = INCYS(KI)
|
|
MX = ABS(INCX)
|
|
MY = ABS(INCY)
|
|
*
|
|
DO 40 KN = 1, 4
|
|
N = NS(KN)
|
|
KSIZE = MIN(2,KN)
|
|
LENX = LENS(KN,MX)
|
|
LENY = LENS(KN,MY)
|
|
*
|
|
IF (ICASE.EQ.4) THEN
|
|
* .. DROT ..
|
|
DO 20 I = 1, 7
|
|
SX(I) = DX1(I)
|
|
SY(I) = DY1(I)
|
|
STX(I) = DT9X(I,KN,KI)
|
|
STY(I) = DT9Y(I,KN,KI)
|
|
20 CONTINUE
|
|
CALL DROT(N,SX,INCX,SY,INCY,SC,SS)
|
|
CALL STEST(LENX,SX,STX,SSIZE2(1,KSIZE),SFAC)
|
|
CALL STEST(LENY,SY,STY,SSIZE2(1,KSIZE),SFAC)
|
|
ELSE
|
|
WRITE (NOUT,*) ' Shouldn''t be here in CHECK3'
|
|
STOP
|
|
END IF
|
|
40 CONTINUE
|
|
60 CONTINUE
|
|
*
|
|
MWPC(1) = 1
|
|
DO 80 I = 2, 11
|
|
MWPC(I) = 0
|
|
80 CONTINUE
|
|
MWPS(1) = 0
|
|
DO 100 I = 2, 6
|
|
MWPS(I) = 1
|
|
100 CONTINUE
|
|
DO 120 I = 7, 11
|
|
MWPS(I) = -1
|
|
120 CONTINUE
|
|
MWPINX(1) = 1
|
|
MWPINX(2) = 1
|
|
MWPINX(3) = 1
|
|
MWPINX(4) = -1
|
|
MWPINX(5) = 1
|
|
MWPINX(6) = -1
|
|
MWPINX(7) = 1
|
|
MWPINX(8) = 1
|
|
MWPINX(9) = -1
|
|
MWPINX(10) = 1
|
|
MWPINX(11) = -1
|
|
MWPINY(1) = 1
|
|
MWPINY(2) = 1
|
|
MWPINY(3) = -1
|
|
MWPINY(4) = -1
|
|
MWPINY(5) = 2
|
|
MWPINY(6) = 1
|
|
MWPINY(7) = 1
|
|
MWPINY(8) = -1
|
|
MWPINY(9) = -1
|
|
MWPINY(10) = 2
|
|
MWPINY(11) = 1
|
|
DO 140 I = 1, 11
|
|
MWPN(I) = 5
|
|
140 CONTINUE
|
|
MWPN(5) = 3
|
|
MWPN(10) = 3
|
|
DO 160 I = 1, 5
|
|
MWPX(I) = I
|
|
MWPY(I) = I
|
|
MWPTX(1,I) = I
|
|
MWPTY(1,I) = I
|
|
MWPTX(2,I) = I
|
|
MWPTY(2,I) = -I
|
|
MWPTX(3,I) = 6 - I
|
|
MWPTY(3,I) = I - 6
|
|
MWPTX(4,I) = I
|
|
MWPTY(4,I) = -I
|
|
MWPTX(6,I) = 6 - I
|
|
MWPTY(6,I) = I - 6
|
|
MWPTX(7,I) = -I
|
|
MWPTY(7,I) = I
|
|
MWPTX(8,I) = I - 6
|
|
MWPTY(8,I) = 6 - I
|
|
MWPTX(9,I) = -I
|
|
MWPTY(9,I) = I
|
|
MWPTX(11,I) = I - 6
|
|
MWPTY(11,I) = 6 - I
|
|
160 CONTINUE
|
|
MWPTX(5,1) = 1
|
|
MWPTX(5,2) = 3
|
|
MWPTX(5,3) = 5
|
|
MWPTX(5,4) = 4
|
|
MWPTX(5,5) = 5
|
|
MWPTY(5,1) = -1
|
|
MWPTY(5,2) = 2
|
|
MWPTY(5,3) = -2
|
|
MWPTY(5,4) = 4
|
|
MWPTY(5,5) = -3
|
|
MWPTX(10,1) = -1
|
|
MWPTX(10,2) = -3
|
|
MWPTX(10,3) = -5
|
|
MWPTX(10,4) = 4
|
|
MWPTX(10,5) = 5
|
|
MWPTY(10,1) = 1
|
|
MWPTY(10,2) = 2
|
|
MWPTY(10,3) = 2
|
|
MWPTY(10,4) = 4
|
|
MWPTY(10,5) = 3
|
|
DO 200 I = 1, 11
|
|
INCX = MWPINX(I)
|
|
INCY = MWPINY(I)
|
|
DO 180 K = 1, 5
|
|
COPYX(K) = MWPX(K)
|
|
COPYY(K) = MWPY(K)
|
|
MWPSTX(K) = MWPTX(I,K)
|
|
MWPSTY(K) = MWPTY(I,K)
|
|
180 CONTINUE
|
|
CALL DROT(MWPN(I),COPYX,INCX,COPYY,INCY,MWPC(I),MWPS(I))
|
|
CALL STEST(5,COPYX,MWPSTX,MWPSTX,SFAC)
|
|
CALL STEST(5,COPYY,MWPSTY,MWPSTY,SFAC)
|
|
200 CONTINUE
|
|
RETURN
|
|
*
|
|
* End of CHECK3
|
|
*
|
|
END
|
|
SUBROUTINE STEST(LEN,SCOMP,STRUE,SSIZE,SFAC)
|
|
* ********************************* STEST **************************
|
|
*
|
|
* THIS SUBR COMPARES ARRAYS SCOMP() AND STRUE() OF LENGTH LEN TO
|
|
* SEE IF THE TERM BY TERM DIFFERENCES, MULTIPLIED BY SFAC, ARE
|
|
* NEGLIGIBLE.
|
|
*
|
|
* C. L. LAWSON, JPL, 1974 DEC 10
|
|
*
|
|
* .. Parameters ..
|
|
INTEGER NOUT
|
|
DOUBLE PRECISION ZERO
|
|
PARAMETER (NOUT=6, ZERO=0.0D0)
|
|
* .. Scalar Arguments ..
|
|
DOUBLE PRECISION SFAC
|
|
INTEGER LEN
|
|
* .. Array Arguments ..
|
|
DOUBLE PRECISION SCOMP(LEN), SSIZE(LEN), STRUE(LEN)
|
|
* .. Scalars in Common ..
|
|
INTEGER ICASE, INCX, INCY, N
|
|
LOGICAL PASS
|
|
* .. Local Scalars ..
|
|
DOUBLE PRECISION SD
|
|
INTEGER I
|
|
* .. External Functions ..
|
|
DOUBLE PRECISION SDIFF
|
|
EXTERNAL SDIFF
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC ABS
|
|
* .. Common blocks ..
|
|
COMMON /COMBLA/ICASE, N, INCX, INCY, PASS
|
|
* .. Executable Statements ..
|
|
*
|
|
DO 40 I = 1, LEN
|
|
SD = SCOMP(I) - STRUE(I)
|
|
IF (ABS(SFAC*SD) .LE. ABS(SSIZE(I))*EPSILON(ZERO))
|
|
+ GO TO 40
|
|
*
|
|
* HERE SCOMP(I) IS NOT CLOSE TO STRUE(I).
|
|
*
|
|
IF ( .NOT. PASS) GO TO 20
|
|
* PRINT FAIL MESSAGE AND HEADER.
|
|
PASS = .FALSE.
|
|
WRITE (NOUT,99999)
|
|
WRITE (NOUT,99998)
|
|
20 WRITE (NOUT,99997) ICASE, N, INCX, INCY, I, SCOMP(I),
|
|
+ STRUE(I), SD, SSIZE(I)
|
|
40 CONTINUE
|
|
RETURN
|
|
*
|
|
99999 FORMAT (' FAIL')
|
|
99998 FORMAT (/' CASE N INCX INCY I ',
|
|
+ ' COMP(I) TRUE(I) DIFFERENCE',
|
|
+ ' SIZE(I)',/1X)
|
|
99997 FORMAT (1X,I4,I3,2I5,I3,2D36.8,2D12.4)
|
|
*
|
|
* End of STEST
|
|
*
|
|
END
|
|
SUBROUTINE TESTDSDOT(SCOMP,STRUE,SSIZE,SFAC)
|
|
* ********************************* STEST **************************
|
|
*
|
|
* THIS SUBR COMPARES ARRAYS SCOMP() AND STRUE() OF LENGTH LEN TO
|
|
* SEE IF THE TERM BY TERM DIFFERENCES, MULTIPLIED BY SFAC, ARE
|
|
* NEGLIGIBLE.
|
|
*
|
|
* C. L. LAWSON, JPL, 1974 DEC 10
|
|
*
|
|
* .. Parameters ..
|
|
INTEGER NOUT
|
|
REAL ZERO
|
|
PARAMETER (NOUT=6, ZERO=0.0E0)
|
|
* .. Scalar Arguments ..
|
|
REAL SFAC, SCOMP, SSIZE, STRUE
|
|
* .. Scalars in Common ..
|
|
INTEGER ICASE, INCX, INCY, N
|
|
LOGICAL PASS
|
|
* .. Local Scalars ..
|
|
REAL SD
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC ABS
|
|
* .. Common blocks ..
|
|
COMMON /COMBLA/ICASE, N, INCX, INCY, PASS
|
|
* .. Executable Statements ..
|
|
*
|
|
SD = SCOMP - STRUE
|
|
IF (ABS(SFAC*SD) .LE. ABS(SSIZE) * EPSILON(ZERO))
|
|
+ GO TO 40
|
|
*
|
|
* HERE SCOMP(I) IS NOT CLOSE TO STRUE(I).
|
|
*
|
|
IF ( .NOT. PASS) GO TO 20
|
|
* PRINT FAIL MESSAGE AND HEADER.
|
|
PASS = .FALSE.
|
|
WRITE (NOUT,99999)
|
|
WRITE (NOUT,99998)
|
|
20 WRITE (NOUT,99997) ICASE, N, INCX, INCY, SCOMP,
|
|
+ STRUE, SD, SSIZE
|
|
40 CONTINUE
|
|
RETURN
|
|
*
|
|
99999 FORMAT (' FAIL')
|
|
99998 FORMAT (/' CASE N INCX INCY ',
|
|
+ ' COMP(I) TRUE(I) DIFFERENCE',
|
|
+ ' SIZE(I)',/1X)
|
|
99997 FORMAT (1X,I4,I3,1I5,I3,2E36.8,2E12.4)
|
|
*
|
|
* End of TESTDSDOT
|
|
*
|
|
END
|
|
SUBROUTINE STEST1(SCOMP1,STRUE1,SSIZE,SFAC)
|
|
* ************************* STEST1 *****************************
|
|
*
|
|
* THIS IS AN INTERFACE SUBROUTINE TO ACCOMMODATE THE FORTRAN
|
|
* REQUIREMENT THAT WHEN A DUMMY ARGUMENT IS AN ARRAY, THE
|
|
* ACTUAL ARGUMENT MUST ALSO BE AN ARRAY OR AN ARRAY ELEMENT.
|
|
*
|
|
* C.L. LAWSON, JPL, 1978 DEC 6
|
|
*
|
|
* .. Scalar Arguments ..
|
|
DOUBLE PRECISION SCOMP1, SFAC, STRUE1
|
|
* .. Array Arguments ..
|
|
DOUBLE PRECISION SSIZE(*)
|
|
* .. Local Arrays ..
|
|
DOUBLE PRECISION SCOMP(1), STRUE(1)
|
|
* .. External Subroutines ..
|
|
EXTERNAL STEST
|
|
* .. Executable Statements ..
|
|
*
|
|
SCOMP(1) = SCOMP1
|
|
STRUE(1) = STRUE1
|
|
CALL STEST(1,SCOMP,STRUE,SSIZE,SFAC)
|
|
*
|
|
RETURN
|
|
*
|
|
* End of STEST1
|
|
*
|
|
END
|
|
DOUBLE PRECISION FUNCTION SDIFF(SA,SB)
|
|
* ********************************* SDIFF **************************
|
|
* COMPUTES DIFFERENCE OF TWO NUMBERS. C. L. LAWSON, JPL 1974 FEB 15
|
|
*
|
|
* .. Scalar Arguments ..
|
|
DOUBLE PRECISION SA, SB
|
|
* .. Executable Statements ..
|
|
SDIFF = SA - SB
|
|
RETURN
|
|
*
|
|
* End of SDIFF
|
|
*
|
|
END
|
|
SUBROUTINE ITEST1(ICOMP,ITRUE)
|
|
* ********************************* ITEST1 *************************
|
|
*
|
|
* THIS SUBROUTINE COMPARES THE VARIABLES ICOMP AND ITRUE FOR
|
|
* EQUALITY.
|
|
* C. L. LAWSON, JPL, 1974 DEC 10
|
|
*
|
|
* .. Parameters ..
|
|
INTEGER NOUT
|
|
PARAMETER (NOUT=6)
|
|
* .. Scalar Arguments ..
|
|
INTEGER ICOMP, ITRUE
|
|
* .. Scalars in Common ..
|
|
INTEGER ICASE, INCX, INCY, N
|
|
LOGICAL PASS
|
|
* .. Local Scalars ..
|
|
INTEGER ID
|
|
* .. Common blocks ..
|
|
COMMON /COMBLA/ICASE, N, INCX, INCY, PASS
|
|
* .. Executable Statements ..
|
|
*
|
|
IF (ICOMP.EQ.ITRUE) GO TO 40
|
|
*
|
|
* HERE ICOMP IS NOT EQUAL TO ITRUE.
|
|
*
|
|
IF ( .NOT. PASS) GO TO 20
|
|
* PRINT FAIL MESSAGE AND HEADER.
|
|
PASS = .FALSE.
|
|
WRITE (NOUT,99999)
|
|
WRITE (NOUT,99998)
|
|
20 ID = ICOMP - ITRUE
|
|
WRITE (NOUT,99997) ICASE, N, INCX, INCY, ICOMP, ITRUE, ID
|
|
40 CONTINUE
|
|
RETURN
|
|
*
|
|
99999 FORMAT (' FAIL')
|
|
99998 FORMAT (/' CASE N INCX INCY ',
|
|
+ ' COMP TRUE DIFFERENCE',
|
|
+ /1X)
|
|
99997 FORMAT (1X,I4,I3,2I5,2I36,I12)
|
|
*
|
|
* End of ITEST1
|
|
*
|
|
END
|
|
SUBROUTINE DB1NRM2(N,INCX,THRESH)
|
|
* Compare NRM2 with a reference computation using combinations
|
|
* of the following values:
|
|
*
|
|
* 0, very small, small, ulp, 1, 1/ulp, big, very big, infinity, NaN
|
|
*
|
|
* one of these values is used to initialize x(1) and x(2:N) is
|
|
* filled with random values from [-1,1] scaled by another of
|
|
* these values.
|
|
*
|
|
* This routine is adapted from the test suite provided by
|
|
* Anderson E. (2017)
|
|
* Algorithm 978: Safe Scaling in the Level 1 BLAS
|
|
* ACM Trans Math Softw 44:1--28
|
|
* https://doi.org/10.1145/3061665
|
|
*
|
|
* .. Scalar Arguments ..
|
|
INTEGER INCX, N
|
|
DOUBLE PRECISION THRESH
|
|
*
|
|
* =====================================================================
|
|
* .. Parameters ..
|
|
INTEGER NMAX, NOUT, NV
|
|
PARAMETER (NMAX=20, NOUT=6, NV=10)
|
|
DOUBLE PRECISION HALF, ONE, TWO, ZERO
|
|
PARAMETER (HALF=0.5D+0, ONE=1.0D+0, TWO= 2.0D+0,
|
|
& ZERO=0.0D+0)
|
|
* .. External Functions ..
|
|
DOUBLE PRECISION DNRM2
|
|
EXTERNAL DNRM2
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC ABS, DBLE, MAX, MIN, SQRT
|
|
* .. Model parameters ..
|
|
DOUBLE PRECISION BIGNUM, SAFMAX, SAFMIN, SMLNUM, ULP
|
|
PARAMETER (BIGNUM=0.99792015476735990583D+292,
|
|
& SAFMAX=0.44942328371557897693D+308,
|
|
& SAFMIN=0.22250738585072013831D-307,
|
|
& SMLNUM=0.10020841800044863890D-291,
|
|
& ULP=0.22204460492503130808D-015)
|
|
* .. Local Scalars ..
|
|
DOUBLE PRECISION ROGUE, SNRM, TRAT, V0, V1, WORKSSQ, Y1, Y2,
|
|
& YMAX, YMIN, YNRM, ZNRM
|
|
INTEGER I, IV, IW, IX
|
|
LOGICAL FIRST
|
|
* .. Local Arrays ..
|
|
DOUBLE PRECISION VALUES(NV), WORK(NMAX), X(NMAX), Z(NMAX)
|
|
* .. Executable Statements ..
|
|
VALUES(1) = ZERO
|
|
VALUES(2) = TWO*SAFMIN
|
|
VALUES(3) = SMLNUM
|
|
VALUES(4) = ULP
|
|
VALUES(5) = ONE
|
|
VALUES(6) = ONE / ULP
|
|
VALUES(7) = BIGNUM
|
|
VALUES(8) = SAFMAX
|
|
VALUES(9) = DXVALS(V0,2)
|
|
VALUES(10) = DXVALS(V0,3)
|
|
ROGUE = -1234.5678D+0
|
|
FIRST = .TRUE.
|
|
*
|
|
* Check that the arrays are large enough
|
|
*
|
|
IF (N*ABS(INCX).GT.NMAX) THEN
|
|
WRITE (NOUT,99) "DNRM2", NMAX, INCX, N, N*ABS(INCX)
|
|
RETURN
|
|
END IF
|
|
*
|
|
* Zero-sized inputs are tested in STEST1.
|
|
IF (N.LE.0) THEN
|
|
RETURN
|
|
END IF
|
|
*
|
|
* Generate (N-1) values in (-1,1).
|
|
*
|
|
DO I = 2, N
|
|
CALL RANDOM_NUMBER(WORK(I))
|
|
WORK(I) = ONE - TWO*WORK(I)
|
|
END DO
|
|
*
|
|
* Compute the sum of squares of the random values
|
|
* by an unscaled algorithm.
|
|
*
|
|
WORKSSQ = ZERO
|
|
DO I = 2, N
|
|
WORKSSQ = WORKSSQ + WORK(I)*WORK(I)
|
|
END DO
|
|
*
|
|
* Construct the test vector with one known value
|
|
* and the rest from the random work array multiplied
|
|
* by a scaling factor.
|
|
*
|
|
DO IV = 1, NV
|
|
V0 = VALUES(IV)
|
|
IF (ABS(V0).GT.ONE) THEN
|
|
V0 = V0*HALF
|
|
END IF
|
|
Z(1) = V0
|
|
DO IW = 1, NV
|
|
V1 = VALUES(IW)
|
|
IF (ABS(V1).GT.ONE) THEN
|
|
V1 = (V1*HALF) / SQRT(DBLE(N))
|
|
END IF
|
|
DO I = 2, N
|
|
Z(I) = V1*WORK(I)
|
|
END DO
|
|
*
|
|
* Compute the expected value of the 2-norm
|
|
*
|
|
Y1 = ABS(V0)
|
|
IF (N.GT.1) THEN
|
|
Y2 = ABS(V1)*SQRT(WORKSSQ)
|
|
ELSE
|
|
Y2 = ZERO
|
|
END IF
|
|
YMIN = MIN(Y1, Y2)
|
|
YMAX = MAX(Y1, Y2)
|
|
*
|
|
* Expected value is NaN if either is NaN. The test
|
|
* for YMIN == YMAX avoids further computation if both
|
|
* are infinity.
|
|
*
|
|
IF ((Y1.NE.Y1).OR.(Y2.NE.Y2)) THEN
|
|
* Add to propagate NaN
|
|
YNRM = Y1 + Y2
|
|
ELSE IF (YMAX == ZERO) THEN
|
|
YNRM = ZERO
|
|
ELSE IF (YMIN == YMAX) THEN
|
|
YNRM = SQRT(TWO)*YMAX
|
|
ELSE
|
|
YNRM = YMAX*SQRT(ONE + (YMIN / YMAX)**2)
|
|
END IF
|
|
*
|
|
* Fill the input array to DNRM2 with steps of incx
|
|
*
|
|
DO I = 1, N
|
|
X(I) = ROGUE
|
|
END DO
|
|
IX = 1
|
|
IF (INCX.LT.0) IX = 1 - (N-1)*INCX
|
|
DO I = 1, N
|
|
X(IX) = Z(I)
|
|
IX = IX + INCX
|
|
END DO
|
|
*
|
|
* Call DNRM2 to compute the 2-norm
|
|
*
|
|
SNRM = DNRM2(N,X,INCX)
|
|
*
|
|
* Compare SNRM and ZNRM. Roundoff error grows like O(n)
|
|
* in this implementation so we scale the test ratio accordingly.
|
|
*
|
|
IF (INCX.EQ.0) THEN
|
|
ZNRM = SQRT(DBLE(N))*ABS(X(1))
|
|
ELSE
|
|
ZNRM = YNRM
|
|
END IF
|
|
*
|
|
* The tests for NaN rely on the compiler not being overly
|
|
* aggressive and removing the statements altogether.
|
|
IF ((SNRM.NE.SNRM).OR.(ZNRM.NE.ZNRM)) THEN
|
|
IF ((SNRM.NE.SNRM).NEQV.(ZNRM.NE.ZNRM)) THEN
|
|
TRAT = ONE / ULP
|
|
ELSE
|
|
TRAT = ZERO
|
|
END IF
|
|
ELSE IF (SNRM == ZNRM) THEN
|
|
TRAT = ZERO
|
|
ELSE IF (ZNRM == ZERO) THEN
|
|
TRAT = SNRM / ULP
|
|
ELSE
|
|
TRAT = (ABS(SNRM-ZNRM) / ZNRM) / (DBLE(N)*ULP)
|
|
END IF
|
|
IF ((TRAT.NE.TRAT).OR.(TRAT.GE.THRESH)) THEN
|
|
IF (FIRST) THEN
|
|
FIRST = .FALSE.
|
|
WRITE(NOUT,99999)
|
|
END IF
|
|
WRITE (NOUT,98) "DNRM2", N, INCX, IV, IW, TRAT
|
|
END IF
|
|
END DO
|
|
END DO
|
|
99999 FORMAT (' FAIL')
|
|
99 FORMAT ( ' Not enough space to test ', A6, ': NMAX = ',I6,
|
|
+ ', INCX = ',I6,/,' N = ',I6,', must be at least ',I6 )
|
|
98 FORMAT( 1X, A6, ': N=', I6,', INCX=', I4, ', IV=', I2, ', IW=',
|
|
+ I2, ', test=', E15.8 )
|
|
RETURN
|
|
CONTAINS
|
|
DOUBLE PRECISION FUNCTION DXVALS(XX,K)
|
|
* .. Scalar Arguments ..
|
|
DOUBLE PRECISION XX
|
|
INTEGER K
|
|
* .. Local Scalars ..
|
|
DOUBLE PRECISION X, Y, YY, Z
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC HUGE
|
|
* .. Executable Statements ..
|
|
Y = HUGE(XX)
|
|
Z = YY
|
|
IF (K.EQ.1) THEN
|
|
X = -Z
|
|
ELSE IF (K.EQ.2) THEN
|
|
X = Z
|
|
ELSE IF (K.EQ.3) THEN
|
|
X = Z / Z
|
|
END IF
|
|
DXVALS = X
|
|
RETURN
|
|
END
|
|
END
|