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Last change
on this file since 90662e6 was
79492222,
checked in by krzywon, 10 years ago
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Changed the file and folder names to remove all SANS references.
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File size:
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1 | /* gdtr.c |
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2 | * |
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3 | * Gamma distribution function |
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4 | * |
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5 | * |
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6 | * |
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7 | * SYNOPSIS: |
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8 | * |
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9 | * double a, b, x, y, gdtr(); |
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10 | * |
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11 | * y = gdtr( a, b, x ); |
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12 | * |
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13 | * |
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14 | * |
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15 | * DESCRIPTION: |
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16 | * |
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17 | * Returns the integral from zero to x of the gamma probability |
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18 | * density function: |
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19 | * |
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20 | * |
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21 | * x |
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22 | * b - |
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23 | * a | | b-1 -at |
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24 | * y = ----- | t e dt |
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25 | * - | | |
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26 | * | (b) - |
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27 | * 0 |
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28 | * |
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29 | * The incomplete gamma integral is used, according to the |
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30 | * relation |
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31 | * |
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32 | * y = igam( b, ax ). |
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33 | * |
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34 | * |
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35 | * ACCURACY: |
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36 | * |
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37 | * See igam(). |
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38 | * |
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39 | * ERROR MESSAGES: |
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40 | * |
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41 | * message condition value returned |
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42 | * gdtr domain x < 0 0.0 |
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43 | * |
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44 | */ |
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45 | /* gdtrc.c |
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46 | * |
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47 | * Complemented gamma distribution function |
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48 | * |
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49 | * |
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50 | * |
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51 | * SYNOPSIS: |
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52 | * |
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53 | * double a, b, x, y, gdtrc(); |
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54 | * |
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55 | * y = gdtrc( a, b, x ); |
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56 | * |
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57 | * |
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58 | * |
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59 | * DESCRIPTION: |
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60 | * |
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61 | * Returns the integral from x to infinity of the gamma |
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62 | * probability density function: |
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63 | * |
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64 | * |
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65 | * inf. |
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66 | * b - |
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67 | * a | | b-1 -at |
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68 | * y = ----- | t e dt |
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69 | * - | | |
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70 | * | (b) - |
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71 | * x |
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72 | * |
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73 | * The incomplete gamma integral is used, according to the |
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74 | * relation |
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75 | * |
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76 | * y = igamc( b, ax ). |
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77 | * |
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78 | * |
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79 | * ACCURACY: |
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80 | * |
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81 | * See igamc(). |
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82 | * |
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83 | * ERROR MESSAGES: |
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84 | * |
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85 | * message condition value returned |
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86 | * gdtrc domain x < 0 0.0 |
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87 | * |
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88 | */ |
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89 | |
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90 | /* gdtr() */ |
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91 | |
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92 | |
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93 | /* |
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94 | Cephes Math Library Release 2.8: June, 2000 |
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95 | Copyright 1984, 1987, 1995, 2000 by Stephen L. Moshier |
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96 | */ |
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97 | |
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98 | #include "mconf.h" |
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99 | #ifdef ANSIPROT |
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100 | extern double igam ( double, double ); |
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101 | extern double igamc ( double, double ); |
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102 | #else |
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103 | double igam(), igamc(); |
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104 | #endif |
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105 | |
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106 | double gdtr( a, b, x ) |
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107 | double a, b, x; |
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108 | { |
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109 | |
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110 | if( x < 0.0 ) |
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111 | { |
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112 | mtherr( "gdtr", DOMAIN ); |
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113 | return( 0.0 ); |
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114 | } |
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115 | return( igam( b, a * x ) ); |
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116 | } |
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117 | |
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118 | |
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119 | |
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120 | double gdtrc( a, b, x ) |
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121 | double a, b, x; |
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122 | { |
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123 | |
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124 | if( x < 0.0 ) |
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125 | { |
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126 | mtherr( "gdtrc", DOMAIN ); |
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127 | return( 0.0 ); |
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128 | } |
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129 | return( igamc( b, a * x ) ); |
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130 | } |
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