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First attempt at single precision tyeps * * * corrections to qrupdate single precision routines * * * prefer demotion to single over promotion to double * * * Add single precision support to log2 function * * * Trivial PROJECT file update * * * Cache optimized hermitian/transpose methods * * * Add tests for tranpose/hermitian and ChangeLog entry for new transpose code
author David Bateman <dbateman@free.fr>
date Sun, 27 Apr 2008 22:34:17 +0200
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1 SUBROUTINE SLASET( UPLO, M, N, ALPHA, BETA, A, LDA )
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2 *
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3 * -- LAPACK auxiliary routine (version 3.1) --
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4 * Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
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5 * November 2006
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6 *
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7 * .. Scalar Arguments ..
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8 CHARACTER UPLO
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9 INTEGER LDA, M, N
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10 REAL ALPHA, BETA
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11 * ..
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12 * .. Array Arguments ..
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13 REAL A( LDA, * )
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14 * ..
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15 *
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16 * Purpose
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17 * =======
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18 *
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19 * SLASET initializes an m-by-n matrix A to BETA on the diagonal and
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20 * ALPHA on the offdiagonals.
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21 *
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22 * Arguments
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23 * =========
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24 *
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25 * UPLO (input) CHARACTER*1
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26 * Specifies the part of the matrix A to be set.
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27 * = 'U': Upper triangular part is set; the strictly lower
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28 * triangular part of A is not changed.
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29 * = 'L': Lower triangular part is set; the strictly upper
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30 * triangular part of A is not changed.
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31 * Otherwise: All of the matrix A is set.
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32 *
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33 * M (input) INTEGER
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34 * The number of rows of the matrix A. M >= 0.
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35 *
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36 * N (input) INTEGER
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37 * The number of columns of the matrix A. N >= 0.
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38 *
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39 * ALPHA (input) REAL
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40 * The constant to which the offdiagonal elements are to be set.
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41 *
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42 * BETA (input) REAL
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43 * The constant to which the diagonal elements are to be set.
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44 *
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45 * A (input/output) REAL array, dimension (LDA,N)
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46 * On exit, the leading m-by-n submatrix of A is set as follows:
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47 *
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48 * if UPLO = 'U', A(i,j) = ALPHA, 1<=i<=j-1, 1<=j<=n,
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49 * if UPLO = 'L', A(i,j) = ALPHA, j+1<=i<=m, 1<=j<=n,
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50 * otherwise, A(i,j) = ALPHA, 1<=i<=m, 1<=j<=n, i.ne.j,
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51 *
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52 * and, for all UPLO, A(i,i) = BETA, 1<=i<=min(m,n).
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53 *
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54 * LDA (input) INTEGER
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55 * The leading dimension of the array A. LDA >= max(1,M).
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56 *
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57 * =====================================================================
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58 *
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59 * .. Local Scalars ..
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60 INTEGER I, J
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61 * ..
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62 * .. External Functions ..
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63 LOGICAL LSAME
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64 EXTERNAL LSAME
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65 * ..
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66 * .. Intrinsic Functions ..
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67 INTRINSIC MIN
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68 * ..
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69 * .. Executable Statements ..
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70 *
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71 IF( LSAME( UPLO, 'U' ) ) THEN
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72 *
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73 * Set the strictly upper triangular or trapezoidal part of the
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74 * array to ALPHA.
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75 *
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76 DO 20 J = 2, N
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77 DO 10 I = 1, MIN( J-1, M )
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78 A( I, J ) = ALPHA
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79 10 CONTINUE
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80 20 CONTINUE
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81 *
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82 ELSE IF( LSAME( UPLO, 'L' ) ) THEN
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83 *
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84 * Set the strictly lower triangular or trapezoidal part of the
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85 * array to ALPHA.
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86 *
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87 DO 40 J = 1, MIN( M, N )
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88 DO 30 I = J + 1, M
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89 A( I, J ) = ALPHA
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90 30 CONTINUE
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91 40 CONTINUE
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92 *
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93 ELSE
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94 *
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95 * Set the leading m-by-n submatrix to ALPHA.
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96 *
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97 DO 60 J = 1, N
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98 DO 50 I = 1, M
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99 A( I, J ) = ALPHA
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100 50 CONTINUE
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101 60 CONTINUE
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102 END IF
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103 *
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104 * Set the first min(M,N) diagonal elements to BETA.
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105 *
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106 DO 70 I = 1, MIN( M, N )
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107 A( I, I ) = BETA
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108 70 CONTINUE
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109 *
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110 RETURN
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111 *
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112 * End of SLASET
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113 *
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114 END