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annotate libcruft/lapack-xtra/xclange.f @ 13818:a05e5db7b94e

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have some fun with waitbar demo #2
author John W. Eaton <jwe@octave.org>
date Fri, 04 Nov 2011 14:33:44 -0400
parents 82be108cc558
children
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7789
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1 *** This subroutine includes all of the CLANGE function instead of
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2 *** simply wrapping it in a subroutine to avoid possible differences in
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3 *** the way complex values are returned by various Fortran compilers.
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4 *** For example, if we simply wrap the function and compile this file
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5 *** with gfortran and the library that provides CLANGE is compiled with
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6 *** a compiler that uses the g77 (f2c-compatible) calling convention for
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7 *** complex-valued functions, all hell will break loose.
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8
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9 SUBROUTINE XCLANGE ( NORM, M, N, A, LDA, WORK, VALUE )
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10
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11 *** DOUBLE PRECISION FUNCTION CLANGE( NORM, M, N, A, LDA, WORK )
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12 *
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13 * -- LAPACK auxiliary routine (version 3.1) --
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14 * Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
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15 * November 2006
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16 *
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17 * .. Scalar Arguments ..
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18 CHARACTER NORM
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19 INTEGER LDA, M, N
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20 * ..
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21 * .. Array Arguments ..
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22 DOUBLE PRECISION WORK( * )
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23 COMPLEX*16 A( LDA, * )
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24 * ..
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25 *
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26 * Purpose
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27 * =======
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28 *
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29 * CLANGE returns the value of the one norm, or the Frobenius norm, or
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30 * the infinity norm, or the element of largest absolute value of a
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31 * complex matrix A.
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32 *
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33 * Description
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34 * ===========
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35 *
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36 * CLANGE returns the value
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37 *
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38 * CLANGE = ( max(abs(A(i,j))), NORM = 'M' or 'm'
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39 * (
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40 * ( norm1(A), NORM = '1', 'O' or 'o'
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41 * (
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42 * ( normI(A), NORM = 'I' or 'i'
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43 * (
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44 * ( normF(A), NORM = 'F', 'f', 'E' or 'e'
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45 *
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46 * where norm1 denotes the one norm of a matrix (maximum column sum),
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47 * normI denotes the infinity norm of a matrix (maximum row sum) and
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48 * normF denotes the Frobenius norm of a matrix (square root of sum of
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49 * squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.
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50 *
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51 * Arguments
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52 * =========
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53 *
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54 * NORM (input) CHARACTER*1
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55 * Specifies the value to be returned in CLANGE as described
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56 * above.
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57 *
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58 * M (input) INTEGER
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59 * The number of rows of the matrix A. M >= 0. When M = 0,
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60 * CLANGE is set to zero.
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61 *
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62 * N (input) INTEGER
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63 * The number of columns of the matrix A. N >= 0. When N = 0,
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64 * CLANGE is set to zero.
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65 *
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66 * A (input) COMPLEX*16 array, dimension (LDA,N)
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67 * The m by n matrix A.
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68 *
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69 * LDA (input) INTEGER
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70 * The leading dimension of the array A. LDA >= max(M,1).
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71 *
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72 * WORK (workspace) DOUBLE PRECISION array, dimension (MAX(1,LWORK)),
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73 * where LWORK >= M when NORM = 'I'; otherwise, WORK is not
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74 * referenced.
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75 *
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76 * =====================================================================
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77 *
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78 * .. Parameters ..
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79 DOUBLE PRECISION ONE, ZERO
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80 PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
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81 * ..
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82 * .. Local Scalars ..
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83 INTEGER I, J
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84 DOUBLE PRECISION SCALE, SUM, VALUE
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85 * ..
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86 * .. External Functions ..
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87 LOGICAL LSAME
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88 EXTERNAL LSAME
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89 * ..
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90 * .. External Subroutines ..
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91 EXTERNAL CLASSQ
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92 * ..
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93 * .. Intrinsic Functions ..
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94 INTRINSIC ABS, MAX, MIN, SQRT
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95 * ..
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96 * .. Executable Statements ..
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97 *
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98 IF( MIN( M, N ).EQ.0 ) THEN
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99 VALUE = ZERO
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100 ELSE IF( LSAME( NORM, 'M' ) ) THEN
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101 *
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102 * Find max(abs(A(i,j))).
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103 *
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104 VALUE = ZERO
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105 DO 20 J = 1, N
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106 DO 10 I = 1, M
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107 VALUE = MAX( VALUE, ABS( A( I, J ) ) )
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108 10 CONTINUE
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109 20 CONTINUE
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110 ELSE IF( ( LSAME( NORM, 'O' ) ) .OR. ( NORM.EQ.'1' ) ) THEN
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111 *
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112 * Find norm1(A).
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113 *
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114 VALUE = ZERO
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115 DO 40 J = 1, N
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116 SUM = ZERO
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117 DO 30 I = 1, M
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118 SUM = SUM + ABS( A( I, J ) )
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119 30 CONTINUE
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120 VALUE = MAX( VALUE, SUM )
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121 40 CONTINUE
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122 ELSE IF( LSAME( NORM, 'I' ) ) THEN
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123 *
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124 * Find normI(A).
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125 *
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126 DO 50 I = 1, M
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127 WORK( I ) = ZERO
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128 50 CONTINUE
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129 DO 70 J = 1, N
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130 DO 60 I = 1, M
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131 WORK( I ) = WORK( I ) + ABS( A( I, J ) )
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132 60 CONTINUE
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133 70 CONTINUE
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134 VALUE = ZERO
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135 DO 80 I = 1, M
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136 VALUE = MAX( VALUE, WORK( I ) )
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137 80 CONTINUE
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138 ELSE IF( ( LSAME( NORM, 'F' ) ) .OR. ( LSAME( NORM, 'E' ) ) ) THEN
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139 *
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140 * Find normF(A).
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141 *
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142 SCALE = ZERO
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143 SUM = ONE
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144 DO 90 J = 1, N
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145 CALL CLASSQ( M, A( 1, J ), 1, SCALE, SUM )
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146 90 CONTINUE
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147 VALUE = SCALE*SQRT( SUM )
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148 END IF
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149 *
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150 *** CLANGE = VALUE
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151 RETURN
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152 *
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153 * End of CLANGE
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154 *
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155 END