1 | *> \brief \b DLADIV
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2 | *
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3 | * =========== DOCUMENTATION ===========
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4 | *
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5 | * Online html documentation available at
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6 | * http://www.netlib.org/lapack/explore-html/
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7 | *
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8 | *> \htmlonly
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9 | *> Download DLADIV + dependencies
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10 | *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dladiv.f">
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11 | *> [TGZ]</a>
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12 | *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dladiv.f">
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13 | *> [ZIP]</a>
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14 | *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dladiv.f">
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15 | *> [TXT]</a>
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16 | *> \endhtmlonly
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17 | *
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18 | * Definition:
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19 | * ===========
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20 | *
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21 | * SUBROUTINE DLADIV( A, B, C, D, P, Q )
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22 | *
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23 | * .. Scalar Arguments ..
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24 | * DOUBLE PRECISION A, B, C, D, P, Q
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25 | * ..
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26 | *
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27 | *
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28 | *> \par Purpose:
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29 | * =============
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30 | *>
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31 | *> \verbatim
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32 | *>
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33 | *> DLADIV performs complex division in real arithmetic
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34 | *>
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35 | *> a + i*b
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36 | *> p + i*q = ---------
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37 | *> c + i*d
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38 | *>
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39 | *> The algorithm is due to Robert L. Smith and can be found
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40 | *> in D. Knuth, The art of Computer Programming, Vol.2, p.195
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41 | *> \endverbatim
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42 | *
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43 | * Arguments:
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44 | * ==========
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45 | *
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46 | *> \param[in] A
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47 | *> \verbatim
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48 | *> A is DOUBLE PRECISION
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49 | *> \endverbatim
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50 | *>
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51 | *> \param[in] B
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52 | *> \verbatim
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53 | *> B is DOUBLE PRECISION
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54 | *> \endverbatim
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55 | *>
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56 | *> \param[in] C
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57 | *> \verbatim
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58 | *> C is DOUBLE PRECISION
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59 | *> \endverbatim
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60 | *>
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61 | *> \param[in] D
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62 | *> \verbatim
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63 | *> D is DOUBLE PRECISION
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64 | *> The scalars a, b, c, and d in the above expression.
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65 | *> \endverbatim
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66 | *>
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67 | *> \param[out] P
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68 | *> \verbatim
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69 | *> P is DOUBLE PRECISION
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70 | *> \endverbatim
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71 | *>
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72 | *> \param[out] Q
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73 | *> \verbatim
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74 | *> Q is DOUBLE PRECISION
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75 | *> The scalars p and q in the above expression.
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76 | *> \endverbatim
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77 | *
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78 | * Authors:
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79 | * ========
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80 | *
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81 | *> \author Univ. of Tennessee
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82 | *> \author Univ. of California Berkeley
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83 | *> \author Univ. of Colorado Denver
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84 | *> \author NAG Ltd.
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85 | *
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86 | *> \date November 2011
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87 | *
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88 | *> \ingroup auxOTHERauxiliary
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89 | *
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90 | * =====================================================================
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91 | SUBROUTINE DLADIV( A, B, C, D, P, Q )
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92 | *
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93 | * -- LAPACK auxiliary routine (version 3.4.0) --
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94 | * -- LAPACK is a software package provided by Univ. of Tennessee, --
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95 | * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
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96 | * November 2011
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97 | *
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98 | * .. Scalar Arguments ..
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99 | DOUBLE PRECISION A, B, C, D, P, Q
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100 | * ..
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101 | *
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102 | * =====================================================================
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103 | *
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104 | * .. Local Scalars ..
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105 | DOUBLE PRECISION E, F
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106 | * ..
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107 | * .. Intrinsic Functions ..
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108 | INTRINSIC ABS
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109 | * ..
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110 | * .. Executable Statements ..
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111 | *
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112 | IF( ABS( D ).LT.ABS( C ) ) THEN
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113 | E = D / C
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114 | F = C + D*E
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115 | P = ( A+B*E ) / F
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116 | Q = ( B-A*E ) / F
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117 | ELSE
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118 | E = C / D
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119 | F = D + C*E
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120 | P = ( B+A*E ) / F
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121 | Q = ( -A+B*E ) / F
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122 | END IF
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123 | *
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124 | RETURN
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125 | *
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126 | * End of DLADIV
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127 | *
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128 | END
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