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SUBROUTINE PSMATGEN( ICTXT, AFORM, DIAG, M, N, MB, NB, A, LDA,
$ IAROW, IACOL, ISEED, IROFF, IRNUM, ICOFF,
$ ICNUM, MYROW, MYCOL, NPROW, NPCOL )
*
* -- ScaLAPACK routine (version 1.7) --
* University of Tennessee, Knoxville, Oak Ridge National Laboratory,
* and University of California, Berkeley.
* May 1, 1997
*
* .. Scalar Arguments ..
CHARACTER*1 AFORM, DIAG
INTEGER IACOL, IAROW, ICNUM, ICOFF, ICTXT, IRNUM,
$ IROFF, ISEED, LDA, M, MB, MYCOL, MYROW, N,
$ NB, NPCOL, NPROW
* ..
* .. Array Arguments ..
REAL A( LDA, * )
* ..
*
* Purpose
* =======
*
* PSMATGEN : Parallel Real Single precision MATrix GENerator.
* Generate (or regenerate) a distributed matrix A (or sub-matrix of A).
*
* Arguments
* =========
*
* ICTXT (global input) INTEGER
* The BLACS context handle, indicating the global context of
* the operation. The context itself is global.
*
* AFORM (global input) CHARACTER*1
* if AFORM = 'S' : A is returned is a symmetric matrix.
* if AFORM = 'H' : A is returned is a Hermitian matrix.
* if AFORM = 'T' : A is overwritten with the transpose of
* what would normally be generated.
* if AFORM = 'C' : A is overwritten with the conjugate trans-
* pose of what would normally be generated.
* otherwise a random matrix is generated.
*
* DIAG (global input) CHARACTER*1
* if DIAG = 'D' : A is diagonally dominant.
*
* M (global input) INTEGER
* The number of rows in the generated distributed matrix.
*
* N (global input) INTEGER
* The number of columns in the generated distributed
* matrix.
*
* MB (global input) INTEGER
* The row blocking factor of the distributed matrix A.
*
* NB (global input) INTEGER
* The column blocking factor of the distributed matrix A.
*
* A (local output) REAL, pointer into the local memory
* to an array of dimension ( LDA, * ) containing the local
* pieces of the distributed matrix.
*
* LDA (local input) INTEGER
* The leading dimension of the array containing the local
* pieces of the distributed matrix A.
*
* IAROW (global input) INTEGER
* The row processor coordinate which holds the first block
* of the distributed matrix A.
*
* IACOL (global input) INTEGER
* The column processor coordinate which holds the first
* block of the distributed matrix A.
*
* ISEED (global input) INTEGER
* The seed number to generate the distributed matrix A.
*
* IROFF (local input) INTEGER
* The number of local rows of A that have already been
* generated. It should be a multiple of MB.
*
* IRNUM (local input) INTEGER
* The number of local rows to be generated.
*
* ICOFF (local input) INTEGER
* The number of local columns of A that have already been
* generated. It should be a multiple of NB.
*
* ICNUM (local input) INTEGER
* The number of local columns to be generated.
*
* MYROW (local input) INTEGER
* The row process coordinate of the calling process.
*
* MYCOL (local input) INTEGER
* The column process coordinate of the calling process.
*
* NPROW (global input) INTEGER
* The number of process rows in the grid.
*
* NPCOL (global input) INTEGER
* The number of process columns in the grid.
*
* Notes
* =====
*
* The code is originally developed by David Walker, ORNL,
* and modified by Jaeyoung Choi, ORNL.
*
* Reference: G. Fox et al.
* Section 12.3 of "Solving problems on concurrent processors Vol. I"
*
* =====================================================================
*
* .. Parameters ..
INTEGER MULT0, MULT1, IADD0, IADD1
PARAMETER ( MULT0=20077, MULT1=16838, IADD0=12345,
$ IADD1=0 )
REAL ONE, TWO
PARAMETER ( ONE = 1.0E+0, TWO = 2.0E+0 )
* ..
* .. Local Scalars ..
LOGICAL SYMM, HERM, TRAN
INTEGER I, IC, IK, INFO, IOFFC, IOFFR, IR, J, JK,
$ JUMP1, JUMP2, JUMP3, JUMP4, JUMP5, JUMP6,
$ JUMP7, MAXMN, MEND, MOFF, MP, MRCOL, MRROW,
$ NEND, NOFF, NPMB, NQ, NQNB
* ..
* .. Local Arrays ..
INTEGER IADD(2), IA1(2), IA2(2), IA3(2), IA4(2),
$ IA5(2), IB1(2), IB2(2), IB3(2), IC1(2), IC2(2),
$ IC3(2), IC4(2), IC5(2), IRAN1(2), IRAN2(2),
$ IRAN3(2), IRAN4(2), ITMP1(2), ITMP2(2),
$ ITMP3(2), JSEED(2), MULT(2)
* ..
* .. External Subroutines ..
EXTERNAL JUMPIT, PXERBLA, SETRAN, XJUMPM
* ..
* .. Intrinsic Functions ..
INTRINSIC ABS, MAX, MOD
* ..
* .. External Functions ..
LOGICAL LSAME
INTEGER ICEIL, NUMROC
REAL PSRAND
EXTERNAL ICEIL, NUMROC, LSAME, PSRAND
* ..
* .. Executable Statements ..
*
* Test the input arguments
*
MP = NUMROC( M, MB, MYROW, IAROW, NPROW )
NQ = NUMROC( N, NB, MYCOL, IACOL, NPCOL )
SYMM = LSAME( AFORM, 'S' )
HERM = LSAME( AFORM, 'H' )
TRAN = LSAME( AFORM, 'T' )
*
INFO = 0
IF( .NOT.LSAME( DIAG, 'D' ) .AND.
$ .NOT.LSAME( DIAG, 'N' ) ) THEN
INFO = 3
ELSE IF( SYMM.OR.HERM ) THEN
IF( M.NE.N ) THEN
INFO = 5
ELSE IF( MB.NE.NB ) THEN
INFO = 7
END IF
ELSE IF( M.LT.0 ) THEN
INFO = 4
ELSE IF( N.LT.0 ) THEN
INFO = 5
ELSE IF( MB.LT.1 ) THEN
INFO = 6
ELSE IF( NB.LT.1 ) THEN
INFO = 7
ELSE IF( LDA.LT.0 ) THEN
INFO = 9
ELSE IF( ( IAROW.LT.0 ).OR.( IAROW.GE.NPROW ) ) THEN
INFO = 10
ELSE IF( ( IACOL.LT.0 ).OR.( IACOL.GE.NPCOL ) ) THEN
INFO = 11
ELSE IF( MOD(IROFF,MB).GT.0 ) THEN
INFO = 13
ELSE IF( IRNUM.GT.(MP-IROFF) ) THEN
INFO = 14
ELSE IF( MOD(ICOFF,NB).GT.0 ) THEN
INFO = 15
ELSE IF( ICNUM.GT.(NQ-ICOFF) ) THEN
INFO = 16
ELSE IF( ( MYROW.LT.0 ).OR.( MYROW.GE.NPROW ) ) THEN
INFO = 17
ELSE IF( ( MYCOL.LT.0 ).OR.( MYCOL.GE.NPCOL ) ) THEN
INFO = 18
END IF
IF( INFO.NE.0 ) THEN
CALL PXERBLA( ICTXT, 'PSMATGEN', INFO )
RETURN
END IF
*
MRROW = MOD( NPROW+MYROW-IAROW, NPROW )
MRCOL = MOD( NPCOL+MYCOL-IACOL, NPCOL )
NPMB = NPROW * MB
NQNB = NPCOL * NB
MOFF = IROFF / MB
NOFF = ICOFF / NB
MEND = ICEIL(IRNUM, MB) + MOFF
NEND = ICEIL(ICNUM, NB) + NOFF
*
MULT(1) = MULT0
MULT(2) = MULT1
IADD(1) = IADD0
IADD(2) = IADD1
JSEED(1) = ISEED
JSEED(2) = 0
*
* Symmetric or Hermitian matrix will be generated.
*
IF( SYMM.OR.HERM ) THEN
*
* First, generate the lower triangular part (with diagonal block)
*
JUMP1 = 1
JUMP2 = NPMB
JUMP3 = M
JUMP4 = NQNB
JUMP5 = NB
JUMP6 = MRCOL
JUMP7 = MB*MRROW
*
CALL XJUMPM( JUMP1, MULT, IADD, JSEED, IRAN1, IA1, IC1 )
CALL XJUMPM( JUMP2, MULT, IADD, IRAN1, ITMP1, IA2, IC2 )
CALL XJUMPM( JUMP3, MULT, IADD, IRAN1, ITMP1, IA3, IC3 )
CALL XJUMPM( JUMP4, IA3, IC3, IRAN1, ITMP1, IA4, IC4 )
CALL XJUMPM( JUMP5, IA3, IC3, IRAN1, ITMP1, IA5, IC5 )
CALL XJUMPM( JUMP6, IA5, IC5, IRAN1, ITMP3, ITMP1, ITMP2 )
CALL XJUMPM( JUMP7, MULT, IADD, ITMP3, IRAN1, ITMP1, ITMP2 )
CALL XJUMPM( NOFF, IA4, IC4, IRAN1, ITMP1, ITMP2, ITMP3 )
CALL XJUMPM( MOFF, IA2, IC2, ITMP1, IRAN1, ITMP2, ITMP3 )
CALL SETRAN( IRAN1, IA1, IC1 )
*
DO 10 I = 1, 2
IB1(I) = IRAN1(I)
IB2(I) = IRAN1(I)
IB3(I) = IRAN1(I)
10 CONTINUE
*
JK = 1
DO 80 IC = NOFF+1, NEND
IOFFC = ((IC-1)*NPCOL+MRCOL) * NB
DO 70 I = 1, NB
IF( JK .GT. ICNUM ) GO TO 90
*
IK = 1
DO 50 IR = MOFF+1, MEND
IOFFR = ((IR-1)*NPROW+MRROW) * MB
*
IF( IOFFR .GT. IOFFC ) THEN
DO 20 J = 1, MB
IF( IK .GT. IRNUM ) GO TO 60
A(IK,JK) = ONE - TWO*PSRAND(0)
IK = IK + 1
20 CONTINUE
*
ELSE IF( IOFFC .EQ. IOFFR ) THEN
IK = IK + I - 1
IF( IK .GT. IRNUM ) GO TO 60
DO 30 J = 1, I-1
A(IK,JK) = ONE - TWO*PSRAND(0)
30 CONTINUE
A(IK,JK) = ONE - TWO*PSRAND(0)
DO 40 J = 1, MB-I
IF( IK+J .GT. IRNUM ) GO TO 60
A(IK+J,JK) = ONE - TWO*PSRAND(0)
A(IK,JK+J) = A(IK+J,JK)
40 CONTINUE
IK = IK + MB - I + 1
ELSE
IK = IK + MB
END IF
*
CALL JUMPIT( IA2, IC2, IB1, IRAN2 )
IB1(1) = IRAN2(1)
IB1(2) = IRAN2(2)
50 CONTINUE
*
60 CONTINUE
JK = JK + 1
CALL JUMPIT( IA3, IC3, IB2, IRAN3 )
IB1(1) = IRAN3(1)
IB1(2) = IRAN3(2)
IB2(1) = IRAN3(1)
IB2(2) = IRAN3(2)
70 CONTINUE
*
CALL JUMPIT( IA4, IC4, IB3, IRAN4 )
IB1(1) = IRAN4(1)
IB1(2) = IRAN4(2)
IB2(1) = IRAN4(1)
IB2(2) = IRAN4(2)
IB3(1) = IRAN4(1)
IB3(2) = IRAN4(2)
80 CONTINUE
*
* Next, generate the upper triangular part.
*
90 CONTINUE
MULT(1) = MULT0
MULT(2) = MULT1
IADD(1) = IADD0
IADD(2) = IADD1
JSEED(1) = ISEED
JSEED(2) = 0
*
JUMP1 = 1
JUMP2 = NQNB
JUMP3 = N
JUMP4 = NPMB
JUMP5 = MB
JUMP6 = MRROW
JUMP7 = NB*MRCOL
*
CALL XJUMPM( JUMP1, MULT, IADD, JSEED, IRAN1, IA1, IC1 )
CALL XJUMPM( JUMP2, MULT, IADD, IRAN1, ITMP1, IA2, IC2 )
CALL XJUMPM( JUMP3, MULT, IADD, IRAN1, ITMP1, IA3, IC3 )
CALL XJUMPM( JUMP4, IA3, IC3, IRAN1, ITMP1, IA4, IC4 )
CALL XJUMPM( JUMP5, IA3, IC3, IRAN1, ITMP1, IA5, IC5 )
CALL XJUMPM( JUMP6, IA5, IC5, IRAN1, ITMP3, ITMP1, ITMP2 )
CALL XJUMPM( JUMP7, MULT, IADD, ITMP3, IRAN1, ITMP1, ITMP2 )
CALL XJUMPM( MOFF, IA4, IC4, IRAN1, ITMP1, ITMP2, ITMP3 )
CALL XJUMPM( NOFF, IA2, IC2, ITMP1, IRAN1, ITMP2, ITMP3 )
CALL SETRAN( IRAN1, IA1, IC1 )
*
DO 100 I = 1, 2
IB1(I) = IRAN1(I)
IB2(I) = IRAN1(I)
IB3(I) = IRAN1(I)
100 CONTINUE
*
IK = 1
DO 150 IR = MOFF+1, MEND
IOFFR = ((IR-1)*NPROW+MRROW) * MB
DO 140 J = 1, MB
IF( IK .GT. IRNUM ) GO TO 160
JK = 1
DO 120 IC = NOFF+1, NEND
IOFFC = ((IC-1)*NPCOL+MRCOL) * NB
IF( IOFFC .GT. IOFFR ) THEN
DO 110 I = 1, NB
IF( JK .GT. ICNUM ) GO TO 130
A(IK,JK) = ONE - TWO*PSRAND(0)
JK = JK + 1
110 CONTINUE
ELSE
JK = JK + NB
END IF
CALL JUMPIT( IA2, IC2, IB1, IRAN2 )
IB1(1) = IRAN2(1)
IB1(2) = IRAN2(2)
120 CONTINUE
*
130 CONTINUE
IK = IK + 1
CALL JUMPIT( IA3, IC3, IB2, IRAN3 )
IB1(1) = IRAN3(1)
IB1(2) = IRAN3(2)
IB2(1) = IRAN3(1)
IB2(2) = IRAN3(2)
140 CONTINUE
*
CALL JUMPIT( IA4, IC4, IB3, IRAN4 )
IB1(1) = IRAN4(1)
IB1(2) = IRAN4(2)
IB2(1) = IRAN4(1)
IB2(2) = IRAN4(2)
IB3(1) = IRAN4(1)
IB3(2) = IRAN4(2)
150 CONTINUE
160 CONTINUE
*
* (Conjugate) Transposed matrix A will be generated.
*
ELSE IF( TRAN .OR. LSAME( AFORM, 'C' ) ) THEN
*
JUMP1 = 1
JUMP2 = NQNB
JUMP3 = N
JUMP4 = NPMB
JUMP5 = MB
JUMP6 = MRROW
JUMP7 = NB*MRCOL
*
CALL XJUMPM( JUMP1, MULT, IADD, JSEED, IRAN1, IA1, IC1 )
CALL XJUMPM( JUMP2, MULT, IADD, IRAN1, ITMP1, IA2, IC2 )
CALL XJUMPM( JUMP3, MULT, IADD, IRAN1, ITMP1, IA3, IC3 )
CALL XJUMPM( JUMP4, IA3, IC3, IRAN1, ITMP1, IA4, IC4 )
CALL XJUMPM( JUMP5, IA3, IC3, IRAN1, ITMP1, IA5, IC5 )
CALL XJUMPM( JUMP6, IA5, IC5, IRAN1, ITMP3, ITMP1, ITMP2 )
CALL XJUMPM( JUMP7, MULT, IADD, ITMP3, IRAN1, ITMP1, ITMP2 )
CALL XJUMPM( MOFF, IA4, IC4, IRAN1, ITMP1, ITMP2, ITMP3 )
CALL XJUMPM( NOFF, IA2, IC2, ITMP1, IRAN1, ITMP2, ITMP3 )
CALL SETRAN( IRAN1, IA1, IC1 )
*
DO 170 I = 1, 2
IB1(I) = IRAN1(I)
IB2(I) = IRAN1(I)
IB3(I) = IRAN1(I)
170 CONTINUE
*
IK = 1
DO 220 IR = MOFF+1, MEND
IOFFR = ((IR-1)*NPROW+MRROW) * MB
DO 210 J = 1, MB
IF( IK .GT. IRNUM ) GO TO 230
JK = 1
DO 190 IC = NOFF+1, NEND
IOFFC = ((IC-1)*NPCOL+MRCOL) * NB
DO 180 I = 1, NB
IF( JK .GT. ICNUM ) GO TO 200
A(IK,JK) = ONE - TWO*PSRAND(0)
JK = JK + 1
180 CONTINUE
CALL JUMPIT( IA2, IC2, IB1, IRAN2 )
IB1(1) = IRAN2(1)
IB1(2) = IRAN2(2)
190 CONTINUE
*
200 CONTINUE
IK = IK + 1
CALL JUMPIT( IA3, IC3, IB2, IRAN3 )
IB1(1) = IRAN3(1)
IB1(2) = IRAN3(2)
IB2(1) = IRAN3(1)
IB2(2) = IRAN3(2)
210 CONTINUE
*
CALL JUMPIT( IA4, IC4, IB3, IRAN4 )
IB1(1) = IRAN4(1)
IB1(2) = IRAN4(2)
IB2(1) = IRAN4(1)
IB2(2) = IRAN4(2)
IB3(1) = IRAN4(1)
IB3(2) = IRAN4(2)
220 CONTINUE
230 CONTINUE
*
* A random matrix is generated.
*
ELSE
*
JUMP1 = 1
JUMP2 = NPMB
JUMP3 = M
JUMP4 = NQNB
JUMP5 = NB
JUMP6 = MRCOL
JUMP7 = MB*MRROW
*
CALL XJUMPM( JUMP1, MULT, IADD, JSEED, IRAN1, IA1, IC1 )
CALL XJUMPM( JUMP2, MULT, IADD, IRAN1, ITMP1, IA2, IC2 )
CALL XJUMPM( JUMP3, MULT, IADD, IRAN1, ITMP1, IA3, IC3 )
CALL XJUMPM( JUMP4, IA3, IC3, IRAN1, ITMP1, IA4, IC4 )
CALL XJUMPM( JUMP5, IA3, IC3, IRAN1, ITMP1, IA5, IC5 )
CALL XJUMPM( JUMP6, IA5, IC5, IRAN1, ITMP3, ITMP1, ITMP2 )
CALL XJUMPM( JUMP7, MULT, IADD, ITMP3, IRAN1, ITMP1, ITMP2 )
CALL XJUMPM( NOFF, IA4, IC4, IRAN1, ITMP1, ITMP2, ITMP3 )
CALL XJUMPM( MOFF, IA2, IC2, ITMP1, IRAN1, ITMP2, ITMP3 )
CALL SETRAN( IRAN1, IA1, IC1 )
*
DO 240 I = 1, 2
IB1(I) = IRAN1(I)
IB2(I) = IRAN1(I)
IB3(I) = IRAN1(I)
240 CONTINUE
*
JK = 1
DO 290 IC = NOFF+1, NEND
IOFFC = ((IC-1)*NPCOL+MRCOL) * NB
DO 280 I = 1, NB
IF( JK .GT. ICNUM ) GO TO 300
IK = 1
DO 260 IR = MOFF+1, MEND
IOFFR = ((IR-1)*NPROW+MRROW) * MB
DO 250 J = 1, MB
IF( IK .GT. IRNUM ) GO TO 270
A(IK,JK) = ONE - TWO*PSRAND(0)
IK = IK + 1
250 CONTINUE
CALL JUMPIT( IA2, IC2, IB1, IRAN2 )
IB1(1) = IRAN2(1)
IB1(2) = IRAN2(2)
260 CONTINUE
*
270 CONTINUE
JK = JK + 1
CALL JUMPIT( IA3, IC3, IB2, IRAN3 )
IB1(1) = IRAN3(1)
IB1(2) = IRAN3(2)
IB2(1) = IRAN3(1)
IB2(2) = IRAN3(2)
280 CONTINUE
*
CALL JUMPIT( IA4, IC4, IB3, IRAN4 )
IB1(1) = IRAN4(1)
IB1(2) = IRAN4(2)
IB2(1) = IRAN4(1)
IB2(2) = IRAN4(2)
IB3(1) = IRAN4(1)
IB3(2) = IRAN4(2)
290 CONTINUE
300 CONTINUE
END IF
*
* Diagonally dominant matrix will be generated.
*
IF( LSAME( DIAG, 'D' ) ) THEN
IF( MB.NE.NB ) THEN
WRITE(*,*) 'Diagonally dominant matrices with rowNB not'//
$ ' equal colNB is not supported!'
RETURN
END IF
*
MAXMN = MAX(M, N)
JK = 1
DO 340 IC = NOFF+1, NEND
IOFFC = ((IC-1)*NPCOL+MRCOL) * NB
IK = 1
DO 320 IR = MOFF+1, MEND
IOFFR = ((IR-1)*NPROW+MRROW) * MB
IF( IOFFC.EQ.IOFFR ) THEN
DO 310 J = 0, MB-1
IF( IK .GT. IRNUM ) GO TO 330
A(IK,JK+J) = ABS(A(IK,JK+J)) + MAXMN
IK = IK + 1
310 CONTINUE
ELSE
IK = IK + MB
END IF
320 CONTINUE
330 CONTINUE
JK = JK + NB
340 CONTINUE
END IF
*
RETURN
*
* End of PSMATGEN
*
END
|
