1 | *> \brief \b DLAMCH
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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 | * Definition:
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9 | * ===========
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10 | *
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11 | * DOUBLE PRECISION FUNCTION DLAMCH( CMACH )
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12 | *
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13 | *
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14 | *> \par Purpose:
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15 | * =============
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16 | *>
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17 | *> \verbatim
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18 | *>
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19 | *> DLAMCH determines double precision machine parameters.
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20 | *> \endverbatim
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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 | *> \param[in] CMACH
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26 | *> \verbatim
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27 | *> Specifies the value to be returned by DLAMCH:
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28 | *> = 'E' or 'e', DLAMCH := eps
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29 | *> = 'S' or 's , DLAMCH := sfmin
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30 | *> = 'B' or 'b', DLAMCH := base
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31 | *> = 'P' or 'p', DLAMCH := eps*base
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32 | *> = 'N' or 'n', DLAMCH := t
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33 | *> = 'R' or 'r', DLAMCH := rnd
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34 | *> = 'M' or 'm', DLAMCH := emin
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35 | *> = 'U' or 'u', DLAMCH := rmin
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36 | *> = 'L' or 'l', DLAMCH := emax
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37 | *> = 'O' or 'o', DLAMCH := rmax
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38 | *> where
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39 | *> eps = relative machine precision
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40 | *> sfmin = safe minimum, such that 1/sfmin does not overflow
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41 | *> base = base of the machine
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42 | *> prec = eps*base
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43 | *> t = number of (base) digits in the mantissa
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44 | *> rnd = 1.0 when rounding occurs in addition, 0.0 otherwise
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45 | *> emin = minimum exponent before (gradual) underflow
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46 | *> rmin = underflow threshold - base**(emin-1)
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47 | *> emax = largest exponent before overflow
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48 | *> rmax = overflow threshold - (base**emax)*(1-eps)
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49 | *> \endverbatim
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50 | *
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51 | * Authors:
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52 | * ========
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53 | *
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54 | *> \author Univ. of Tennessee
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55 | *> \author Univ. of California Berkeley
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56 | *> \author Univ. of Colorado Denver
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57 | *> \author NAG Ltd.
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58 | *
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59 | *> \date November 2011
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60 | *
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61 | *> \ingroup auxOTHERauxiliary
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62 | *
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63 | * =====================================================================
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64 | DOUBLE PRECISION FUNCTION DLAMCH( CMACH )
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65 | *
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66 | * -- LAPACK auxiliary routine (version 3.4.0) --
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67 | * -- LAPACK is a software package provided by Univ. of Tennessee, --
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68 | * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
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69 | * November 2011
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70 | *
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71 | * .. Scalar Arguments ..
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72 | CHARACTER CMACH
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73 | * ..
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74 | *
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75 | * =====================================================================
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76 | *
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77 | * .. Parameters ..
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78 | DOUBLE PRECISION ONE, ZERO
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79 | PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
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80 | * ..
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81 | * .. Local Scalars ..
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82 | DOUBLE PRECISION RND, EPS, SFMIN, SMALL, RMACH
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83 | * ..
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84 | * .. External Functions ..
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85 | LOGICAL LSAME
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86 | EXTERNAL LSAME
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87 | * ..
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88 | * .. Intrinsic Functions ..
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89 | INTRINSIC DIGITS, EPSILON, HUGE, MAXEXPONENT,
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90 | $ MINEXPONENT, RADIX, TINY
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91 | * ..
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92 | * .. Executable Statements ..
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93 | *
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94 | *
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95 | * Assume rounding, not chopping. Always.
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96 | *
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97 | RND = ONE
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98 | *
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99 | IF( ONE.EQ.RND ) THEN
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100 | EPS = EPSILON(ZERO) * 0.5
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101 | ELSE
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102 | EPS = EPSILON(ZERO)
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103 | END IF
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104 | *
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105 | IF( LSAME( CMACH, 'E' ) ) THEN
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106 | RMACH = EPS
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107 | ELSE IF( LSAME( CMACH, 'S' ) ) THEN
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108 | SFMIN = TINY(ZERO)
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109 | SMALL = ONE / HUGE(ZERO)
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110 | IF( SMALL.GE.SFMIN ) THEN
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111 | *
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112 | * Use SMALL plus a bit, to avoid the possibility of rounding
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113 | * causing overflow when computing 1/sfmin.
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114 | *
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115 | SFMIN = SMALL*( ONE+EPS )
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116 | END IF
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117 | RMACH = SFMIN
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118 | ELSE IF( LSAME( CMACH, 'B' ) ) THEN
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119 | RMACH = RADIX(ZERO)
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120 | ELSE IF( LSAME( CMACH, 'P' ) ) THEN
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121 | RMACH = EPS * RADIX(ZERO)
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122 | ELSE IF( LSAME( CMACH, 'N' ) ) THEN
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123 | RMACH = DIGITS(ZERO)
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124 | ELSE IF( LSAME( CMACH, 'R' ) ) THEN
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125 | RMACH = RND
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126 | ELSE IF( LSAME( CMACH, 'M' ) ) THEN
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127 | RMACH = MINEXPONENT(ZERO)
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128 | ELSE IF( LSAME( CMACH, 'U' ) ) THEN
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129 | RMACH = tiny(zero)
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130 | ELSE IF( LSAME( CMACH, 'L' ) ) THEN
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131 | RMACH = MAXEXPONENT(ZERO)
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132 | ELSE IF( LSAME( CMACH, 'O' ) ) THEN
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133 | RMACH = HUGE(ZERO)
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134 | ELSE
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135 | RMACH = ZERO
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136 | END IF
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137 | *
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138 | DLAMCH = RMACH
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139 | RETURN
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140 | *
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141 | * End of DLAMCH
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142 | *
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143 | END
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144 | ************************************************************************
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145 | *> \brief \b DLAMC3
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146 | *> \details
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147 | *> \b Purpose:
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148 | *> \verbatim
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149 | *> DLAMC3 is intended to force A and B to be stored prior to doing
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150 | *> the addition of A and B , for use in situations where optimizers
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151 | *> might hold one of these in a register.
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152 | *> \endverbatim
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153 | *> \author LAPACK is a software package provided by Univ. of Tennessee, Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..
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154 | *> \date November 2011
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155 | *> \ingroup auxOTHERauxiliary
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156 | *>
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157 | *> \param[in] A
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158 | *> \verbatim
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159 | *> A is a DOUBLE PRECISION
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160 | *> \endverbatim
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161 | *>
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162 | *> \param[in] B
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163 | *> \verbatim
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164 | *> B is a DOUBLE PRECISION
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165 | *> The values A and B.
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166 | *> \endverbatim
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167 | *>
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168 | DOUBLE PRECISION FUNCTION DLAMC3( A, B )
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169 | *
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170 | * -- LAPACK auxiliary routine (version 3.4.0) --
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171 | * Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
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172 | * November 2010
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173 | *
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174 | * .. Scalar Arguments ..
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175 | DOUBLE PRECISION A, B
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176 | * ..
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177 | * =====================================================================
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178 | *
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179 | * .. Executable Statements ..
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180 | *
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181 | DLAMC3 = A + B
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182 | *
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183 | RETURN
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184 | *
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185 | * End of DLAMC3
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186 | *
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187 | END
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188 | *
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189 | ************************************************************************
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