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INTEGER FUNCTION ILAENV( ISPEC, NAME, OPTS, N1, N2, N3, N4 ) |
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* |
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* -- LAPACK auxiliary routine (version 3.2.1) -- |
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* |
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* -- April 2009 -- |
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* |
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* -- LAPACK 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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* .. Scalar Arguments .. |
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CHARACTER*( * ) NAME, OPTS |
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INTEGER ISPEC, N1, N2, N3, N4 |
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* .. |
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* |
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* Purpose |
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* ======= |
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* |
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* ILAENV is called from the LAPACK routines to choose problem-dependent |
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* parameters for the local environment. See ISPEC for a description of |
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* the parameters. |
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* |
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* ILAENV returns an INTEGER |
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* if ILAENV >= 0: ILAENV returns the value of the parameter specified by ISPEC |
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* if ILAENV < 0: if ILAENV = -k, the k-th argument had an illegal value. |
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* |
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* This version provides a set of parameters which should give good, |
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* but not optimal, performance on many of the currently available |
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* computers. Users are encouraged to modify this subroutine to set |
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* the tuning parameters for their particular machine using the option |
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* and problem size information in the arguments. |
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* |
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* This routine will not function correctly if it is converted to all |
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* lower case. Converting it to all upper case is allowed. |
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* |
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* Arguments |
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* ========= |
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* |
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* ISPEC (input) INTEGER |
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* Specifies the parameter to be returned as the value of |
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* ILAENV. |
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* = 1: the optimal blocksize; if this value is 1, an unblocked |
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* algorithm will give the best performance. |
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* = 2: the minimum block size for which the block routine |
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* should be used; if the usable block size is less than |
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* this value, an unblocked routine should be used. |
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* = 3: the crossover point (in a block routine, for N less |
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* than this value, an unblocked routine should be used) |
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* = 4: the number of shifts, used in the nonsymmetric |
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* eigenvalue routines (DEPRECATED) |
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* = 5: the minimum column dimension for blocking to be used; |
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* rectangular blocks must have dimension at least k by m, |
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* where k is given by ILAENV(2,...) and m by ILAENV(5,...) |
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* = 6: the crossover point for the SVD (when reducing an m by n |
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* matrix to bidiagonal form, if max(m,n)/min(m,n) exceeds |
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* this value, a QR factorization is used first to reduce |
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* the matrix to a triangular form.) |
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* = 7: the number of processors |
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* = 8: the crossover point for the multishift QR method |
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* for nonsymmetric eigenvalue problems (DEPRECATED) |
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* = 9: maximum size of the subproblems at the bottom of the |
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* computation tree in the divide-and-conquer algorithm |
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* (used by xGELSD and xGESDD) |
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* =10: ieee NaN arithmetic can be trusted not to trap |
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* =11: infinity arithmetic can be trusted not to trap |
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* 12 <= ISPEC <= 16: |
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* xHSEQR or one of its subroutines, |
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* see IPARMQ for detailed explanation |
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* |
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* NAME (input) CHARACTER*(*) |
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* The name of the calling subroutine, in either upper case or |
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* lower case. |
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* |
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* OPTS (input) CHARACTER*(*) |
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* The character options to the subroutine NAME, concatenated |
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* into a single character string. For example, UPLO = 'U', |
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* TRANS = 'T', and DIAG = 'N' for a triangular routine would |
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* be specified as OPTS = 'UTN'. |
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* |
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* N1 (input) INTEGER |
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* N2 (input) INTEGER |
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* N3 (input) INTEGER |
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* N4 (input) INTEGER |
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* Problem dimensions for the subroutine NAME; these may not all |
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* be required. |
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* |
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* Further Details |
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* =============== |
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* |
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* The following conventions have been used when calling ILAENV from the |
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* LAPACK routines: |
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* 1) OPTS is a concatenation of all of the character options to |
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* subroutine NAME, in the same order that they appear in the |
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* argument list for NAME, even if they are not used in determining |
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* the value of the parameter specified by ISPEC. |
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* 2) The problem dimensions N1, N2, N3, N4 are specified in the order |
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* that they appear in the argument list for NAME. N1 is used |
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* first, N2 second, and so on, and unused problem dimensions are |
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* passed a value of -1. |
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* 3) The parameter value returned by ILAENV is checked for validity in |
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* the calling subroutine. For example, ILAENV is used to retrieve |
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* the optimal blocksize for STRTRI as follows: |
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* |
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* NB = ILAENV( 1, 'STRTRI', UPLO // DIAG, N, -1, -1, -1 ) |
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* IF( NB.LE.1 ) NB = MAX( 1, N ) |
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* |
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* ===================================================================== |
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* |
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* .. Local Scalars .. |
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INTEGER I, IC, IZ, NB, NBMIN, NX |
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LOGICAL CNAME, SNAME |
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CHARACTER C1*1, C2*2, C4*2, C3*3, SUBNAM*6 |
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* .. |
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* .. Intrinsic Functions .. |
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INTRINSIC CHAR, ICHAR, INT, MIN, REAL |
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* .. |
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* .. External Functions .. |
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INTEGER IEEECK, IPARMQ |
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EXTERNAL IEEECK, IPARMQ |
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* .. |
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* .. Executable Statements .. |
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* |
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GO TO ( 10, 10, 10, 80, 90, 100, 110, 120, |
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$ 130, 140, 150, 160, 160, 160, 160, 160 )ISPEC |
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* |
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* Invalid value for ISPEC |
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* |
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ILAENV = -1 |
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RETURN |
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* |
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10 CONTINUE |
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* |
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* Convert NAME to upper case if the first character is lower case. |
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* |
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ILAENV = 1 |
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SUBNAM = NAME |
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IC = ICHAR( SUBNAM( 1: 1 ) ) |
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IZ = ICHAR( 'Z' ) |
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IF( IZ.EQ.90 .OR. IZ.EQ.122 ) THEN |
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* |
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* ASCII character set |
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* |
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IF( IC.GE.97 .AND. IC.LE.122 ) THEN |
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SUBNAM( 1: 1 ) = CHAR( IC-32 ) |
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DO 20 I = 2, 6 |
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IC = ICHAR( SUBNAM( I: I ) ) |
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IF( IC.GE.97 .AND. IC.LE.122 ) |
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$ SUBNAM( I: I ) = CHAR( IC-32 ) |
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20 CONTINUE |
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END IF |
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* |
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ELSE IF( IZ.EQ.233 .OR. IZ.EQ.169 ) THEN |
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* |
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* EBCDIC character set |
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* |
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IF( ( IC.GE.129 .AND. IC.LE.137 ) .OR. |
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$ ( IC.GE.145 .AND. IC.LE.153 ) .OR. |
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$ ( IC.GE.162 .AND. IC.LE.169 ) ) THEN |
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SUBNAM( 1: 1 ) = CHAR( IC+64 ) |
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DO 30 I = 2, 6 |
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IC = ICHAR( SUBNAM( I: I ) ) |
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IF( ( IC.GE.129 .AND. IC.LE.137 ) .OR. |
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$ ( IC.GE.145 .AND. IC.LE.153 ) .OR. |
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$ ( IC.GE.162 .AND. IC.LE.169 ) )SUBNAM( I: |
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$ I ) = CHAR( IC+64 ) |
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30 CONTINUE |
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END IF |
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* |
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ELSE IF( IZ.EQ.218 .OR. IZ.EQ.250 ) THEN |
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* |
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* Prime machines: ASCII+128 |
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* |
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IF( IC.GE.225 .AND. IC.LE.250 ) THEN |
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SUBNAM( 1: 1 ) = CHAR( IC-32 ) |
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DO 40 I = 2, 6 |
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IC = ICHAR( SUBNAM( I: I ) ) |
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IF( IC.GE.225 .AND. IC.LE.250 ) |
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$ SUBNAM( I: I ) = CHAR( IC-32 ) |
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40 CONTINUE |
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END IF |
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END IF |
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* |
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C1 = SUBNAM( 1: 1 ) |
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SNAME = C1.EQ.'S' .OR. C1.EQ.'D' |
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CNAME = C1.EQ.'C' .OR. C1.EQ.'Z' |
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IF( .NOT.( CNAME .OR. SNAME ) ) |
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$ RETURN |
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C2 = SUBNAM( 2: 3 ) |
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C3 = SUBNAM( 4: 6 ) |
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C4 = C3( 2: 3 ) |
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* |
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GO TO ( 50, 60, 70 )ISPEC |
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* |
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50 CONTINUE |
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* |
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* ISPEC = 1: block size |
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* |
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* In these examples, separate code is provided for setting NB for |
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* real and complex. We assume that NB will take the same value in |
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* single or double precision. |
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* |
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NB = 1 |
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* |
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IF( C2.EQ.'GE' ) THEN |
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IF( C3.EQ.'TRF' ) THEN |
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IF( SNAME ) THEN |
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NB = 64 |
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ELSE |
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NB = 64 |
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END IF |
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ELSE IF( C3.EQ.'QRF' .OR. C3.EQ.'RQF' .OR. C3.EQ.'LQF' .OR. |
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$ C3.EQ.'QLF' ) THEN |
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IF( SNAME ) THEN |
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NB = 32 |
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ELSE |
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NB = 32 |
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END IF |
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ELSE IF( C3.EQ.'HRD' ) THEN |
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IF( SNAME ) THEN |
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NB = 32 |
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ELSE |
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NB = 32 |
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END IF |
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ELSE IF( C3.EQ.'BRD' ) THEN |
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IF( SNAME ) THEN |
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NB = 32 |
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ELSE |
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NB = 32 |
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END IF |
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ELSE IF( C3.EQ.'TRI' ) THEN |
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IF( SNAME ) THEN |
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NB = 64 |
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ELSE |
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NB = 64 |
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END IF |
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END IF |
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ELSE IF( C2.EQ.'PO' ) THEN |
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IF( C3.EQ.'TRF' ) THEN |
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IF( SNAME ) THEN |
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NB = 64 |
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ELSE |
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NB = 64 |
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END IF |
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END IF |
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ELSE IF( C2.EQ.'SY' ) THEN |
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IF( C3.EQ.'TRF' ) THEN |
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IF( SNAME ) THEN |
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NB = 64 |
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ELSE |
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NB = 64 |
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END IF |
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ELSE IF( SNAME .AND. C3.EQ.'TRD' ) THEN |
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NB = 32 |
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ELSE IF( SNAME .AND. C3.EQ.'GST' ) THEN |
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NB = 64 |
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END IF |
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ELSE IF( CNAME .AND. C2.EQ.'HE' ) THEN |
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IF( C3.EQ.'TRF' ) THEN |
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NB = 64 |
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ELSE IF( C3.EQ.'TRD' ) THEN |
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NB = 32 |
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ELSE IF( C3.EQ.'GST' ) THEN |
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NB = 64 |
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END IF |
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ELSE IF( SNAME .AND. C2.EQ.'OR' ) THEN |
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IF( C3( 1: 1 ).EQ.'G' ) THEN |
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IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR. C4.EQ. |
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$ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' ) |
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$ THEN |
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NB = 32 |
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END IF |
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ELSE IF( C3( 1: 1 ).EQ.'M' ) THEN |
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IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR. C4.EQ. |
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$ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' ) |
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$ THEN |
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NB = 32 |
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END IF |
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END IF |
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ELSE IF( CNAME .AND. C2.EQ.'UN' ) THEN |
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IF( C3( 1: 1 ).EQ.'G' ) THEN |
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IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR. C4.EQ. |
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$ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' ) |
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$ THEN |
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NB = 32 |
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END IF |
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ELSE IF( C3( 1: 1 ).EQ.'M' ) THEN |
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IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR. C4.EQ. |
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$ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' ) |
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$ THEN |
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NB = 32 |
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END IF |
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END IF |
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ELSE IF( C2.EQ.'GB' ) THEN |
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IF( C3.EQ.'TRF' ) THEN |
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IF( SNAME ) THEN |
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IF( N4.LE.64 ) THEN |
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NB = 1 |
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ELSE |
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NB = 32 |
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END IF |
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ELSE |
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IF( N4.LE.64 ) THEN |
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NB = 1 |
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ELSE |
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NB = 32 |
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END IF |
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END IF |
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END IF |
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ELSE IF( C2.EQ.'PB' ) THEN |
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IF( C3.EQ.'TRF' ) THEN |
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IF( SNAME ) THEN |
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IF( N2.LE.64 ) THEN |
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NB = 1 |
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ELSE |
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NB = 32 |
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END IF |
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ELSE |
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IF( N2.LE.64 ) THEN |
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NB = 1 |
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ELSE |
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NB = 32 |
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END IF |
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END IF |
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END IF |
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ELSE IF( C2.EQ.'TR' ) THEN |
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IF( C3.EQ.'TRI' ) THEN |
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IF( SNAME ) THEN |
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NB = 64 |
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ELSE |
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NB = 64 |
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END IF |
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END IF |
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ELSE IF( C2.EQ.'LA' ) THEN |
| 333 |
IF( C3.EQ.'UUM' ) THEN |
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IF( SNAME ) THEN |
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NB = 64 |
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ELSE |
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NB = 64 |
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END IF |
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END IF |
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ELSE IF( SNAME .AND. C2.EQ.'ST' ) THEN |
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IF( C3.EQ.'EBZ' ) THEN |
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NB = 1 |
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END IF |
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END IF |
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ILAENV = NB |
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RETURN |
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* |
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60 CONTINUE |
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* |
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* ISPEC = 2: minimum block size |
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* |
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NBMIN = 2 |
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IF( C2.EQ.'GE' ) THEN |
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IF( C3.EQ.'QRF' .OR. C3.EQ.'RQF' .OR. C3.EQ.'LQF' .OR. C3.EQ. |
| 355 |
$ 'QLF' ) THEN |
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IF( SNAME ) THEN |
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NBMIN = 2 |
| 358 |
ELSE |
| 359 |
NBMIN = 2 |
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END IF |
| 361 |
ELSE IF( C3.EQ.'HRD' ) THEN |
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IF( SNAME ) THEN |
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NBMIN = 2 |
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ELSE |
| 365 |
NBMIN = 2 |
| 366 |
END IF |
| 367 |
ELSE IF( C3.EQ.'BRD' ) THEN |
| 368 |
IF( SNAME ) THEN |
| 369 |
NBMIN = 2 |
| 370 |
ELSE |
| 371 |
NBMIN = 2 |
| 372 |
END IF |
| 373 |
ELSE IF( C3.EQ.'TRI' ) THEN |
| 374 |
IF( SNAME ) THEN |
| 375 |
NBMIN = 2 |
| 376 |
ELSE |
| 377 |
NBMIN = 2 |
| 378 |
END IF |
| 379 |
END IF |
| 380 |
ELSE IF( C2.EQ.'SY' ) THEN |
| 381 |
IF( C3.EQ.'TRF' ) THEN |
| 382 |
IF( SNAME ) THEN |
| 383 |
NBMIN = 8 |
| 384 |
ELSE |
| 385 |
NBMIN = 8 |
| 386 |
END IF |
| 387 |
ELSE IF( SNAME .AND. C3.EQ.'TRD' ) THEN |
| 388 |
NBMIN = 2 |
| 389 |
END IF |
| 390 |
ELSE IF( CNAME .AND. C2.EQ.'HE' ) THEN |
| 391 |
IF( C3.EQ.'TRD' ) THEN |
| 392 |
NBMIN = 2 |
| 393 |
END IF |
| 394 |
ELSE IF( SNAME .AND. C2.EQ.'OR' ) THEN |
| 395 |
IF( C3( 1: 1 ).EQ.'G' ) THEN |
| 396 |
IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR. C4.EQ. |
| 397 |
$ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' ) |
| 398 |
$ THEN |
| 399 |
NBMIN = 2 |
| 400 |
END IF |
| 401 |
ELSE IF( C3( 1: 1 ).EQ.'M' ) THEN |
| 402 |
IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR. C4.EQ. |
| 403 |
$ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' ) |
| 404 |
$ THEN |
| 405 |
NBMIN = 2 |
| 406 |
END IF |
| 407 |
END IF |
| 408 |
ELSE IF( CNAME .AND. C2.EQ.'UN' ) THEN |
| 409 |
IF( C3( 1: 1 ).EQ.'G' ) THEN |
| 410 |
IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR. C4.EQ. |
| 411 |
$ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' ) |
| 412 |
$ THEN |
| 413 |
NBMIN = 2 |
| 414 |
END IF |
| 415 |
ELSE IF( C3( 1: 1 ).EQ.'M' ) THEN |
| 416 |
IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR. C4.EQ. |
| 417 |
$ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' ) |
| 418 |
$ THEN |
| 419 |
NBMIN = 2 |
| 420 |
END IF |
| 421 |
END IF |
| 422 |
END IF |
| 423 |
ILAENV = NBMIN |
| 424 |
RETURN |
| 425 |
* |
| 426 |
70 CONTINUE |
| 427 |
* |
| 428 |
* ISPEC = 3: crossover point |
| 429 |
* |
| 430 |
NX = 0 |
| 431 |
IF( C2.EQ.'GE' ) THEN |
| 432 |
IF( C3.EQ.'QRF' .OR. C3.EQ.'RQF' .OR. C3.EQ.'LQF' .OR. C3.EQ. |
| 433 |
$ 'QLF' ) THEN |
| 434 |
IF( SNAME ) THEN |
| 435 |
NX = 128 |
| 436 |
ELSE |
| 437 |
NX = 128 |
| 438 |
END IF |
| 439 |
ELSE IF( C3.EQ.'HRD' ) THEN |
| 440 |
IF( SNAME ) THEN |
| 441 |
NX = 128 |
| 442 |
ELSE |
| 443 |
NX = 128 |
| 444 |
END IF |
| 445 |
ELSE IF( C3.EQ.'BRD' ) THEN |
| 446 |
IF( SNAME ) THEN |
| 447 |
NX = 128 |
| 448 |
ELSE |
| 449 |
NX = 128 |
| 450 |
END IF |
| 451 |
END IF |
| 452 |
ELSE IF( C2.EQ.'SY' ) THEN |
| 453 |
IF( SNAME .AND. C3.EQ.'TRD' ) THEN |
| 454 |
NX = 32 |
| 455 |
END IF |
| 456 |
ELSE IF( CNAME .AND. C2.EQ.'HE' ) THEN |
| 457 |
IF( C3.EQ.'TRD' ) THEN |
| 458 |
NX = 32 |
| 459 |
END IF |
| 460 |
ELSE IF( SNAME .AND. C2.EQ.'OR' ) THEN |
| 461 |
IF( C3( 1: 1 ).EQ.'G' ) THEN |
| 462 |
IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR. C4.EQ. |
| 463 |
$ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' ) |
| 464 |
$ THEN |
| 465 |
NX = 128 |
| 466 |
END IF |
| 467 |
END IF |
| 468 |
ELSE IF( CNAME .AND. C2.EQ.'UN' ) THEN |
| 469 |
IF( C3( 1: 1 ).EQ.'G' ) THEN |
| 470 |
IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR. C4.EQ. |
| 471 |
$ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' ) |
| 472 |
$ THEN |
| 473 |
NX = 128 |
| 474 |
END IF |
| 475 |
END IF |
| 476 |
END IF |
| 477 |
ILAENV = NX |
| 478 |
RETURN |
| 479 |
* |
| 480 |
80 CONTINUE |
| 481 |
* |
| 482 |
* ISPEC = 4: number of shifts (used by xHSEQR) |
| 483 |
* |
| 484 |
ILAENV = 6 |
| 485 |
RETURN |
| 486 |
* |
| 487 |
90 CONTINUE |
| 488 |
* |
| 489 |
* ISPEC = 5: minimum column dimension (not used) |
| 490 |
* |
| 491 |
ILAENV = 2 |
| 492 |
RETURN |
| 493 |
* |
| 494 |
100 CONTINUE |
| 495 |
* |
| 496 |
* ISPEC = 6: crossover point for SVD (used by xGELSS and xGESVD) |
| 497 |
* |
| 498 |
ILAENV = INT( REAL( MIN( N1, N2 ) )*1.6E0 ) |
| 499 |
RETURN |
| 500 |
* |
| 501 |
110 CONTINUE |
| 502 |
* |
| 503 |
* ISPEC = 7: number of processors (not used) |
| 504 |
* |
| 505 |
ILAENV = 1 |
| 506 |
RETURN |
| 507 |
* |
| 508 |
120 CONTINUE |
| 509 |
* |
| 510 |
* ISPEC = 8: crossover point for multishift (used by xHSEQR) |
| 511 |
* |
| 512 |
ILAENV = 50 |
| 513 |
RETURN |
| 514 |
* |
| 515 |
130 CONTINUE |
| 516 |
* |
| 517 |
* ISPEC = 9: maximum size of the subproblems at the bottom of the |
| 518 |
* computation tree in the divide-and-conquer algorithm |
| 519 |
* (used by xGELSD and xGESDD) |
| 520 |
* |
| 521 |
ILAENV = 25 |
| 522 |
RETURN |
| 523 |
* |
| 524 |
140 CONTINUE |
| 525 |
* |
| 526 |
* ISPEC = 10: ieee NaN arithmetic can be trusted not to trap |
| 527 |
* |
| 528 |
* ILAENV = 0 |
| 529 |
ILAENV = 1 |
| 530 |
IF( ILAENV.EQ.1 ) THEN |
| 531 |
ILAENV = IEEECK( 1, 0.0, 1.0 ) |
| 532 |
END IF |
| 533 |
RETURN |
| 534 |
* |
| 535 |
150 CONTINUE |
| 536 |
* |
| 537 |
* ISPEC = 11: infinity arithmetic can be trusted not to trap |
| 538 |
* |
| 539 |
* ILAENV = 0 |
| 540 |
ILAENV = 1 |
| 541 |
IF( ILAENV.EQ.1 ) THEN |
| 542 |
ILAENV = IEEECK( 0, 0.0, 1.0 ) |
| 543 |
END IF |
| 544 |
RETURN |
| 545 |
* |
| 546 |
160 CONTINUE |
| 547 |
* |
| 548 |
* 12 <= ISPEC <= 16: xHSEQR or one of its subroutines. |
| 549 |
* |
| 550 |
ILAENV = IPARMQ( ISPEC, NAME, OPTS, N1, N2, N3, N4 ) |
| 551 |
RETURN |
| 552 |
* |
| 553 |
* End of ILAENV |
| 554 |
* |
| 555 |
END |