Mercurial > octave
annotate libinterp/corefcn/betainc.cc @ 18517:e1b9c8277ada
betainc.cc: Remove obsolete FIXME note.
* betainc.cc: Remove obsolete FIXME note to switch betainc from a dldfcn to a
regular DEFUN function. This has already happened.
author | Rik <rik@octave.org> |
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date | Sat, 22 Feb 2014 08:23:26 -0800 |
parents | 870f3e12e163 |
children | 4197fc428c7d |
rev | line source |
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3254 | 1 /* |
2 | |
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3 Copyright (C) 1997-2013 John W. Eaton |
3254 | 4 |
5 This file is part of Octave. | |
6 | |
7 Octave is free software; you can redistribute it and/or modify it | |
8 under the terms of the GNU General Public License as published by the | |
7016 | 9 Free Software Foundation; either version 3 of the License, or (at your |
10 option) any later version. | |
3254 | 11 |
12 Octave is distributed in the hope that it will be useful, but WITHOUT | |
13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
15 for more details. | |
16 | |
17 You should have received a copy of the GNU General Public License | |
7016 | 18 along with Octave; see the file COPYING. If not, see |
19 <http://www.gnu.org/licenses/>. | |
3254 | 20 |
21 */ | |
22 | |
23 #ifdef HAVE_CONFIG_H | |
24 #include <config.h> | |
25 #endif | |
26 | |
27 #include "lo-specfun.h" | |
28 | |
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29 #include "defun.h" |
3254 | 30 #include "error.h" |
31 #include "gripes.h" | |
32 #include "oct-obj.h" | |
33 #include "utils.h" | |
34 | |
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35 |
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36 DEFUN (betainc, args, , |
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37 "-*- texinfo -*-\n\ |
3444 | 38 @deftypefn {Mapping Function} {} betainc (@var{x}, @var{a}, @var{b})\n\ |
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39 Return the regularized incomplete Beta function,\n\ |
3444 | 40 @tex\n\ |
41 $$\n\ | |
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42 I (x, a, b) = {1 \\over {B (a, b)}} \\int_0^x t^{(a-z)} (1-t)^{(b-1)} dt.\n\ |
3444 | 43 $$\n\ |
44 @end tex\n\ | |
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45 @ifnottex\n\ |
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46 @c Set example in small font to prevent overfull line\n\ |
3254 | 47 \n\ |
3444 | 48 @smallexample\n\ |
10840 | 49 @group\n\ |
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50 x\n\ |
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51 1 /\n\ |
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52 betainc (x, a, b) = ----------- | t^(a-1) (1-t)^(b-1) dt.\n\ |
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53 beta (a, b) /\n\ |
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54 t=0\n\ |
10840 | 55 @end group\n\ |
3444 | 56 @end smallexample\n\ |
10840 | 57 \n\ |
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58 @end ifnottex\n\ |
3254 | 59 \n\ |
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60 If @var{x} has more than one component, both @var{a} and @var{b} must be\n\ |
3444 | 61 scalars. If @var{x} is a scalar, @var{a} and @var{b} must be of\n\ |
62 compatible dimensions.\n\ | |
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63 @seealso{betaincinv, beta, betaln}\n\ |
3444 | 64 @end deftypefn") |
3254 | 65 { |
66 octave_value retval; | |
67 | |
68 int nargin = args.length (); | |
69 | |
70 if (nargin == 3) | |
71 { | |
72 octave_value x_arg = args(0); | |
73 octave_value a_arg = args(1); | |
74 octave_value b_arg = args(2); | |
75 | |
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76 // FIXME: Can we make a template version of the duplicated code below |
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77 if (x_arg.is_single_type () || a_arg.is_single_type () || |
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78 b_arg.is_single_type ()) |
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79 { |
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80 if (x_arg.is_scalar_type ()) |
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81 { |
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82 float x = x_arg.float_value (); |
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84 if (a_arg.is_scalar_type ()) |
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85 { |
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86 float a = a_arg.float_value (); |
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87 |
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88 if (! error_state) |
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89 { |
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90 if (b_arg.is_scalar_type ()) |
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91 { |
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92 float b = b_arg.float_value (); |
3254 | 93 |
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94 if (! error_state) |
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95 retval = betainc (x, a, b); |
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96 } |
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97 else |
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98 { |
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99 Array<float> b = b_arg.float_array_value (); |
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100 |
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101 if (! error_state) |
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102 retval = betainc (x, a, b); |
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103 } |
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104 } |
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105 } |
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106 else |
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107 { |
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108 Array<float> a = a_arg.float_array_value (); |
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109 |
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110 if (! error_state) |
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111 { |
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112 if (b_arg.is_scalar_type ()) |
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113 { |
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114 float b = b_arg.float_value (); |
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116 if (! error_state) |
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117 retval = betainc (x, a, b); |
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118 } |
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119 else |
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120 { |
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121 Array<float> b = b_arg.float_array_value (); |
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122 |
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123 if (! error_state) |
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124 retval = betainc (x, a, b); |
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125 } |
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126 } |
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127 } |
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128 } |
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129 else |
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130 { |
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131 Array<float> x = x_arg.float_array_value (); |
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133 if (a_arg.is_scalar_type ()) |
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134 { |
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135 float a = a_arg.float_value (); |
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136 |
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137 if (! error_state) |
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138 { |
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139 if (b_arg.is_scalar_type ()) |
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140 { |
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141 float b = b_arg.float_value (); |
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142 |
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143 if (! error_state) |
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144 retval = betainc (x, a, b); |
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145 } |
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146 else |
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147 { |
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148 Array<float> b = b_arg.float_array_value (); |
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151 retval = betainc (x, a, b); |
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152 } |
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153 } |
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154 } |
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155 else |
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156 { |
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157 Array<float> a = a_arg.float_array_value (); |
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158 |
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159 if (! error_state) |
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160 { |
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161 if (b_arg.is_scalar_type ()) |
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162 { |
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163 float b = b_arg.float_value (); |
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165 if (! error_state) |
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166 retval = betainc (x, a, b); |
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167 } |
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168 else |
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169 { |
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170 Array<float> b = b_arg.float_array_value (); |
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171 |
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172 if (! error_state) |
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173 retval = betainc (x, a, b); |
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174 } |
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175 } |
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176 } |
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177 } |
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178 } |
3254 | 179 else |
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180 { |
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181 if (x_arg.is_scalar_type ()) |
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182 { |
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183 double x = x_arg.double_value (); |
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185 if (a_arg.is_scalar_type ()) |
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186 { |
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187 double a = a_arg.double_value (); |
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188 |
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189 if (! error_state) |
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190 { |
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191 if (b_arg.is_scalar_type ()) |
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192 { |
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193 double b = b_arg.double_value (); |
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195 if (! error_state) |
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196 retval = betainc (x, a, b); |
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197 } |
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198 else |
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199 { |
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200 Array<double> b = b_arg.array_value (); |
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201 |
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202 if (! error_state) |
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203 retval = betainc (x, a, b); |
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204 } |
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205 } |
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206 } |
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207 else |
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208 { |
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209 Array<double> a = a_arg.array_value (); |
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210 |
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211 if (! error_state) |
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212 { |
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213 if (b_arg.is_scalar_type ()) |
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214 { |
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215 double b = b_arg.double_value (); |
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217 if (! error_state) |
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218 retval = betainc (x, a, b); |
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219 } |
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220 else |
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221 { |
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222 Array<double> b = b_arg.array_value (); |
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223 |
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224 if (! error_state) |
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225 retval = betainc (x, a, b); |
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226 } |
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227 } |
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228 } |
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229 } |
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230 else |
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231 { |
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232 Array<double> x = x_arg.array_value (); |
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234 if (a_arg.is_scalar_type ()) |
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235 { |
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236 double a = a_arg.double_value (); |
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237 |
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238 if (! error_state) |
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239 { |
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240 if (b_arg.is_scalar_type ()) |
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241 { |
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242 double b = b_arg.double_value (); |
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243 |
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244 if (! error_state) |
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245 retval = betainc (x, a, b); |
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246 } |
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247 else |
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248 { |
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249 Array<double> b = b_arg.array_value (); |
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251 if (! error_state) |
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252 retval = betainc (x, a, b); |
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253 } |
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254 } |
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255 } |
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256 else |
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257 { |
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258 Array<double> a = a_arg.array_value (); |
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259 |
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260 if (! error_state) |
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261 { |
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262 if (b_arg.is_scalar_type ()) |
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263 { |
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264 double b = b_arg.double_value (); |
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266 if (! error_state) |
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267 retval = betainc (x, a, b); |
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268 } |
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269 else |
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270 { |
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271 Array<double> b = b_arg.array_value (); |
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272 |
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273 if (! error_state) |
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274 retval = betainc (x, a, b); |
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275 } |
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276 } |
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277 } |
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278 } |
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279 } |
3254 | 280 } |
281 else | |
5823 | 282 print_usage (); |
3254 | 283 |
284 return retval; | |
285 } | |
286 | |
287 /* | |
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288 ## Double precision |
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289 %!test |
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290 %! a = [1, 1.5, 2, 3]; |
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291 %! b = [4, 3, 2, 1]; |
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292 %! v1 = betainc (1,a,b); |
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293 %! v2 = [1,1,1,1]; |
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294 %! x = [.2, .4, .6, .8]; |
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295 %! v3 = betainc (x, a, b); |
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296 %! v4 = 1 - betainc (1.-x, b, a); |
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297 %! assert (v1, v2, sqrt (eps)); |
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298 %! assert (v3, v4, sqrt (eps)); |
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299 |
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300 ## Single precision |
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301 %!test |
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302 %! a = single ([1, 1.5, 2, 3]); |
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303 %! b = single ([4, 3, 2, 1]); |
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304 %! v1 = betainc (1,a,b); |
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305 %! v2 = single ([1,1,1,1]); |
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306 %! x = single ([.2, .4, .6, .8]); |
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307 %! v3 = betainc (x, a, b); |
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308 %! v4 = 1 - betainc (1.-x, b, a); |
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309 %! assert (v1, v2, sqrt (eps ("single"))); |
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310 %! assert (v3, v4, sqrt (eps ("single"))); |
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311 |
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312 ## Mixed double/single precision |
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313 %!test |
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314 %! a = single ([1, 1.5, 2, 3]); |
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315 %! b = [4, 3, 2, 1]; |
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316 %! v1 = betainc (1,a,b); |
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317 %! v2 = single ([1,1,1,1]); |
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318 %! x = [.2, .4, .6, .8]; |
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319 %! v3 = betainc (x, a, b); |
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320 %! v4 = 1-betainc (1.-x, b, a); |
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321 %! assert (v1, v2, sqrt (eps ("single"))); |
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322 %! assert (v3, v4, sqrt (eps ("single"))); |
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323 |
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324 %!error betainc () |
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325 %!error betainc (1) |
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326 %!error betainc (1,2) |
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327 %!error betainc (1,2,3,4) |
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328 */ |
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329 |
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330 DEFUN (betaincinv, args, , |
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331 "-*- texinfo -*-\n\ |
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332 @deftypefn {Mapping Function} {} betaincinv (@var{y}, @var{a}, @var{b})\n\ |
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333 Compute the inverse of the incomplete Beta function, i.e., @var{x} such that\n\ |
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334 \n\ |
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335 @example\n\ |
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336 @var{y} == betainc (@var{x}, @var{a}, @var{b}) \n\ |
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337 @end example\n\ |
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338 @seealso{betainc, beta, betaln}\n\ |
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339 @end deftypefn") |
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340 { |
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341 octave_value retval; |
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342 |
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343 int nargin = args.length (); |
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344 |
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345 if (nargin == 3) |
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346 { |
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347 octave_value x_arg = args(0); |
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348 octave_value a_arg = args(1); |
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349 octave_value b_arg = args(2); |
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350 |
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351 if (x_arg.is_scalar_type ()) |
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352 { |
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353 double x = x_arg.double_value (); |
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354 |
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355 if (a_arg.is_scalar_type ()) |
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356 { |
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357 double a = a_arg.double_value (); |
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358 |
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359 if (! error_state) |
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360 { |
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361 if (b_arg.is_scalar_type ()) |
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362 { |
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363 double b = b_arg.double_value (); |
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364 |
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365 if (! error_state) |
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366 retval = betaincinv (x, a, b); |
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367 } |
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|
368 else |
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369 { |
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370 Array<double> b = b_arg.array_value (); |
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371 |
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|
372 if (! error_state) |
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373 retval = betaincinv (x, a, b); |
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|
374 } |
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parents:
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|
375 } |
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Rik <octave@nomad.inbox5.com>
parents:
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|
376 } |
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parents:
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|
377 else |
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|
378 { |
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|
379 Array<double> a = a_arg.array_value (); |
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380 |
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|
381 if (! error_state) |
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|
382 { |
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|
383 if (b_arg.is_scalar_type ()) |
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|
384 { |
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|
385 double b = b_arg.double_value (); |
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|
386 |
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parents:
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|
387 if (! error_state) |
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388 retval = betaincinv (x, a, b); |
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|
389 } |
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Rik <octave@nomad.inbox5.com>
parents:
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|
390 else |
67897baaa05f
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Rik <octave@nomad.inbox5.com>
parents:
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|
391 { |
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|
392 Array<double> b = b_arg.array_value (); |
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|
393 |
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parents:
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|
394 if (! error_state) |
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|
395 retval = betaincinv (x, a, b); |
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|
396 } |
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Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
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|
397 } |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
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|
398 } |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
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|
399 } |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
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|
400 else |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
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|
401 { |
67897baaa05f
Adapt implementation of betaincinv to Octave.
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parents:
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|
402 Array<double> x = x_arg.array_value (); |
67897baaa05f
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parents:
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|
403 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
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|
404 if (a_arg.is_scalar_type ()) |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
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|
405 { |
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Rik <octave@nomad.inbox5.com>
parents:
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|
406 double a = a_arg.double_value (); |
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parents:
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|
407 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
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|
408 if (! error_state) |
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Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
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|
409 { |
67897baaa05f
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Rik <octave@nomad.inbox5.com>
parents:
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|
410 if (b_arg.is_scalar_type ()) |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
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|
411 { |
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Rik <octave@nomad.inbox5.com>
parents:
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|
412 double b = b_arg.double_value (); |
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parents:
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|
413 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
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|
414 if (! error_state) |
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parents:
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|
415 retval = betaincinv (x, a, b); |
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Adapt implementation of betaincinv to Octave.
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parents:
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|
416 } |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
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|
417 else |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
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418 { |
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parents:
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419 Array<double> b = b_arg.array_value (); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
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parents:
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|
420 |
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parents:
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421 if (! error_state) |
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parents:
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422 retval = betaincinv (x, a, b); |
67897baaa05f
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parents:
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423 } |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
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|
424 } |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
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|
425 } |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
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426 else |
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Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
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427 { |
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parents:
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428 Array<double> a = a_arg.array_value (); |
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parents:
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429 |
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parents:
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430 if (! error_state) |
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parents:
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431 { |
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parents:
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432 if (b_arg.is_scalar_type ()) |
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parents:
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433 { |
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parents:
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434 double b = b_arg.double_value (); |
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Adapt implementation of betaincinv to Octave.
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parents:
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435 |
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Adapt implementation of betaincinv to Octave.
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parents:
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436 if (! error_state) |
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437 retval = betaincinv (x, a, b); |
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parents:
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438 } |
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Adapt implementation of betaincinv to Octave.
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parents:
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439 else |
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Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
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440 { |
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parents:
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441 Array<double> b = b_arg.array_value (); |
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parents:
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442 |
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parents:
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443 if (! error_state) |
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parents:
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444 retval = betaincinv (x, a, b); |
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parents:
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445 } |
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parents:
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446 } |
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Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
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447 } |
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parents:
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448 } |
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parents:
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449 |
14850
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doc: Add Seealso links to betainc() docstring
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parents:
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450 // FIXME: It would be better to have an algorithm for betaincinv which |
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parents:
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451 // accepted float inputs and returned float outputs. As it is, we do |
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parents:
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452 // extra work to calculate betaincinv to double precision and then throw |
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parents:
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453 // that precision away. |
14817
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parents:
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454 if (x_arg.is_single_type () || a_arg.is_single_type () || |
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parents:
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455 b_arg.is_single_type ()) |
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parents:
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456 { |
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parents:
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457 retval = Array<float> (retval.array_value ()); |
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parents:
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458 } |
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Rik <octave@nomad.inbox5.com>
parents:
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|
459 } |
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Rik <octave@nomad.inbox5.com>
parents:
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|
460 else |
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parents:
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461 print_usage (); |
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parents:
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462 |
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parents:
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463 return retval; |
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parents:
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|
464 } |
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parents:
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|
465 |
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parents:
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|
466 /* |
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parents:
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467 %!assert (betaincinv ([0.875 0.6875], [1 2], 3), [0.5 0.5], sqrt (eps)) |
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parents:
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468 %!assert (betaincinv (0.5, 3, 3), 0.5, sqrt (eps)) |
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parents:
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469 %!assert (betaincinv (0.34375, 4, 3), 0.5, sqrt (eps)) |
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parents:
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470 %!assert (betaincinv (0.2265625, 5, 3), 0.5, sqrt (eps)) |
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parents:
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471 %!assert (betaincinv (0.14453125, 6, 3), 0.5, sqrt (eps)) |
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parents:
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|
472 %!assert (betaincinv (0.08984375, 7, 3), 0.5, sqrt (eps)) |
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parents:
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|
473 %!assert (betaincinv (0.0546875, 8, 3), 0.5, sqrt (eps)) |
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parents:
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474 %!assert (betaincinv (0.03271484375, 9, 3), 0.5, sqrt (eps)) |
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parents:
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|
475 %!assert (betaincinv (0.019287109375, 10, 3), 0.5, sqrt (eps)) |
67897baaa05f
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parents:
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|
476 |
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parents:
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|
477 ## Test class single as well |
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parents:
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|
478 %!assert (betaincinv ([0.875 0.6875], [1 2], single (3)), [0.5 0.5], sqrt (eps ("single"))) |
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parents:
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|
479 %!assert (betaincinv (0.5, 3, single (3)), 0.5, sqrt (eps ("single"))) |
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parents:
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|
480 %!assert (betaincinv (0.34375, 4, single (3)), 0.5, sqrt (eps ("single"))) |
67897baaa05f
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parents:
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|
481 |
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parents:
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|
482 ## Extreme values |
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Adapt implementation of betaincinv to Octave.
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parents:
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|
483 %!assert (betaincinv (0, 42, 42), 0, sqrt (eps)) |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
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|
484 %!assert (betaincinv (1, 42, 42), 1, sqrt (eps)) |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
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diff
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|
485 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
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parents:
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|
486 %!error betaincinv () |
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parents:
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|
487 %!error betaincinv (1, 2) |
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parents:
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|
488 */ |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
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diff
changeset
|
489 |