Mercurial > octave-nkf
annotate libinterp/corefcn/betainc.cc @ 20593:c41595061186
eliminate more simple uses of error_state
* betainc.cc, file-io.cc, ov-class.cc, ov-struct.cc:
Eliminate simple uses of error_state.
author | John W. Eaton <jwe@octave.org> |
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date | Mon, 05 Oct 2015 23:09:54 -0400 |
parents | 4f45eaf83908 |
children |
rev | line source |
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3254 | 1 /* |
2 | |
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3 Copyright (C) 1997-2015 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 Compute the regularized incomplete Beta function.\n\ |
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40 \n\ |
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41 The regularized incomplete Beta function is defined by\n\ |
3444 | 42 @tex\n\ |
43 $$\n\ | |
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44 I (x, a, b) = {1 \\over {B (a, b)}} \\int_0^x t^{(a-z)} (1-t)^{(b-1)} dt.\n\ |
3444 | 45 $$\n\ |
46 @end tex\n\ | |
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47 @ifnottex\n\ |
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48 @c Set example in small font to prevent overfull line\n\ |
3254 | 49 \n\ |
3444 | 50 @smallexample\n\ |
10840 | 51 @group\n\ |
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52 x\n\ |
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53 1 /\n\ |
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54 betainc (x, a, b) = ----------- | t^(a-1) (1-t)^(b-1) dt.\n\ |
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55 beta (a, b) /\n\ |
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56 t=0\n\ |
10840 | 57 @end group\n\ |
3444 | 58 @end smallexample\n\ |
10840 | 59 \n\ |
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60 @end ifnottex\n\ |
3254 | 61 \n\ |
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62 If @var{x} has more than one component, both @var{a} and @var{b} must be\n\ |
3444 | 63 scalars. If @var{x} is a scalar, @var{a} and @var{b} must be of\n\ |
64 compatible dimensions.\n\ | |
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65 @seealso{betaincinv, beta, betaln}\n\ |
3444 | 66 @end deftypefn") |
3254 | 67 { |
68 octave_value retval; | |
69 | |
70 int nargin = args.length (); | |
71 | |
72 if (nargin == 3) | |
73 { | |
74 octave_value x_arg = args(0); | |
75 octave_value a_arg = args(1); | |
76 octave_value b_arg = args(2); | |
77 | |
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78 // FIXME: Can we make a template version of the duplicated code below |
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79 if (x_arg.is_single_type () || a_arg.is_single_type () |
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80 || b_arg.is_single_type ()) |
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81 { |
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82 if (x_arg.is_scalar_type ()) |
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83 { |
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84 float x = x_arg.float_value (); |
3254 | 85 |
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86 if (a_arg.is_scalar_type ()) |
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87 { |
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88 float a = a_arg.float_value (); |
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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 retval = betainc (x, a, b); |
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95 } |
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96 else |
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97 { |
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98 Array<float> b = b_arg.float_array_value (); |
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99 |
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100 retval = betainc (x, a, b); |
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101 } |
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102 } |
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103 else |
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104 { |
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105 Array<float> a = a_arg.float_array_value (); |
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106 |
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107 if (b_arg.is_scalar_type ()) |
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108 { |
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109 float b = b_arg.float_value (); |
3254 | 110 |
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111 retval = betainc (x, a, b); |
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112 } |
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113 else |
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114 { |
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115 Array<float> b = b_arg.float_array_value (); |
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116 |
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117 retval = betainc (x, a, b); |
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118 } |
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119 } |
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120 } |
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121 else |
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122 { |
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123 Array<float> x = x_arg.float_array_value (); |
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125 if (a_arg.is_scalar_type ()) |
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126 { |
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127 float a = a_arg.float_value (); |
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128 |
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129 if (b_arg.is_scalar_type ()) |
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130 { |
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131 float b = b_arg.float_value (); |
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132 |
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133 retval = betainc (x, a, b); |
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134 } |
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135 else |
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136 { |
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137 Array<float> b = b_arg.float_array_value (); |
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139 retval = betainc (x, a, b); |
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140 } |
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141 } |
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142 else |
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143 { |
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144 Array<float> a = a_arg.float_array_value (); |
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145 |
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146 if (b_arg.is_scalar_type ()) |
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147 { |
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148 float b = b_arg.float_value (); |
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150 retval = betainc (x, a, b); |
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151 } |
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152 else |
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153 { |
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154 Array<float> b = b_arg.float_array_value (); |
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155 |
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156 retval = betainc (x, a, b); |
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157 } |
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158 } |
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159 } |
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160 } |
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162 { |
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163 if (x_arg.is_scalar_type ()) |
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164 { |
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165 double x = x_arg.double_value (); |
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167 if (a_arg.is_scalar_type ()) |
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168 { |
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169 double a = a_arg.double_value (); |
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170 |
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171 if (b_arg.is_scalar_type ()) |
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172 { |
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173 double b = b_arg.double_value (); |
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175 retval = betainc (x, a, b); |
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176 } |
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177 else |
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178 { |
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179 Array<double> b = b_arg.array_value (); |
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180 |
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181 retval = betainc (x, a, b); |
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182 } |
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183 } |
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184 else |
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185 { |
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186 Array<double> a = a_arg.array_value (); |
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187 |
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188 if (b_arg.is_scalar_type ()) |
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189 { |
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190 double b = b_arg.double_value (); |
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192 retval = betainc (x, a, b); |
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193 } |
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194 else |
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195 { |
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196 Array<double> b = b_arg.array_value (); |
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197 |
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198 retval = betainc (x, a, b); |
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199 } |
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200 } |
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201 } |
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202 else |
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203 { |
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204 Array<double> x = x_arg.array_value (); |
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206 if (a_arg.is_scalar_type ()) |
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207 { |
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208 double a = a_arg.double_value (); |
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209 |
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210 if (b_arg.is_scalar_type ()) |
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211 { |
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212 double b = b_arg.double_value (); |
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213 |
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214 retval = betainc (x, a, b); |
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215 } |
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216 else |
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217 { |
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218 Array<double> b = b_arg.array_value (); |
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220 retval = betainc (x, a, b); |
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221 } |
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222 } |
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223 else |
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224 { |
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225 Array<double> a = a_arg.array_value (); |
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226 |
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227 if (b_arg.is_scalar_type ()) |
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228 { |
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229 double b = b_arg.double_value (); |
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231 retval = betainc (x, a, b); |
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232 } |
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233 else |
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234 { |
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235 Array<double> b = b_arg.array_value (); |
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236 |
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237 retval = betainc (x, a, b); |
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238 } |
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239 } |
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240 } |
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241 } |
3254 | 242 } |
243 else | |
5823 | 244 print_usage (); |
3254 | 245 |
246 return retval; | |
247 } | |
248 | |
249 /* | |
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250 ## Double precision |
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251 %!test |
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252 %! a = [1, 1.5, 2, 3]; |
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253 %! b = [4, 3, 2, 1]; |
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254 %! v1 = betainc (1,a,b); |
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255 %! v2 = [1,1,1,1]; |
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256 %! x = [.2, .4, .6, .8]; |
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257 %! v3 = betainc (x, a, b); |
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258 %! v4 = 1 - betainc (1.-x, b, a); |
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259 %! assert (v1, v2, sqrt (eps)); |
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260 %! assert (v3, v4, sqrt (eps)); |
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261 |
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262 ## Single precision |
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263 %!test |
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264 %! a = single ([1, 1.5, 2, 3]); |
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265 %! b = single ([4, 3, 2, 1]); |
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266 %! v1 = betainc (1,a,b); |
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267 %! v2 = single ([1,1,1,1]); |
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268 %! x = single ([.2, .4, .6, .8]); |
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269 %! v3 = betainc (x, a, b); |
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270 %! v4 = 1 - betainc (1.-x, b, a); |
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271 %! assert (v1, v2, sqrt (eps ("single"))); |
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272 %! assert (v3, v4, sqrt (eps ("single"))); |
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273 |
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274 ## Mixed double/single precision |
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275 %!test |
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276 %! a = single ([1, 1.5, 2, 3]); |
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277 %! b = [4, 3, 2, 1]; |
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278 %! v1 = betainc (1,a,b); |
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279 %! v2 = single ([1,1,1,1]); |
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280 %! x = [.2, .4, .6, .8]; |
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281 %! v3 = betainc (x, a, b); |
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282 %! v4 = 1-betainc (1.-x, b, a); |
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283 %! assert (v1, v2, sqrt (eps ("single"))); |
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284 %! assert (v3, v4, sqrt (eps ("single"))); |
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285 |
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286 %!error betainc () |
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287 %!error betainc (1) |
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288 %!error betainc (1,2) |
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289 %!error betainc (1,2,3,4) |
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290 */ |
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291 |
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292 DEFUN (betaincinv, args, , |
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293 "-*- texinfo -*-\n\ |
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294 @deftypefn {Mapping Function} {} betaincinv (@var{y}, @var{a}, @var{b})\n\ |
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295 Compute the inverse of the incomplete Beta function.\n\ |
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296 \n\ |
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297 The inverse is the value @var{x} such that\n\ |
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298 \n\ |
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299 @example\n\ |
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300 @var{y} == betainc (@var{x}, @var{a}, @var{b})\n\ |
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301 @end example\n\ |
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302 @seealso{betainc, beta, betaln}\n\ |
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303 @end deftypefn") |
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304 { |
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305 octave_value retval; |
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306 |
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307 int nargin = args.length (); |
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308 |
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309 if (nargin == 3) |
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310 { |
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311 octave_value x_arg = args(0); |
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312 octave_value a_arg = args(1); |
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313 octave_value b_arg = args(2); |
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314 |
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315 if (x_arg.is_scalar_type ()) |
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316 { |
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317 double x = x_arg.double_value (); |
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318 |
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319 if (a_arg.is_scalar_type ()) |
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320 { |
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321 double a = a_arg.double_value (); |
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322 |
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323 if (b_arg.is_scalar_type ()) |
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324 { |
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325 double b = b_arg.double_value (); |
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326 |
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327 retval = betaincinv (x, a, b); |
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328 } |
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329 else |
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330 { |
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331 Array<double> b = b_arg.array_value (); |
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332 |
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333 retval = betaincinv (x, a, b); |
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334 } |
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335 } |
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336 else |
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337 { |
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338 Array<double> a = a_arg.array_value (); |
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339 |
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340 if (b_arg.is_scalar_type ()) |
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341 { |
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342 double b = b_arg.double_value (); |
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343 |
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|
344 retval = betaincinv (x, a, b); |
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345 } |
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|
346 else |
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|
347 { |
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348 Array<double> b = b_arg.array_value (); |
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349 |
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|
350 retval = betaincinv (x, a, b); |
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351 } |
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|
352 } |
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|
353 } |
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Rik <octave@nomad.inbox5.com>
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|
354 else |
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Rik <octave@nomad.inbox5.com>
parents:
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|
355 { |
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|
356 Array<double> x = x_arg.array_value (); |
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357 |
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|
358 if (a_arg.is_scalar_type ()) |
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|
359 { |
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parents:
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|
360 double a = a_arg.double_value (); |
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361 |
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|
362 if (b_arg.is_scalar_type ()) |
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|
363 { |
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|
364 double b = b_arg.double_value (); |
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|
365 |
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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 retval = betaincinv (x, a, b); |
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|
373 } |
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Rik <octave@nomad.inbox5.com>
parents:
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|
374 } |
67897baaa05f
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Rik <octave@nomad.inbox5.com>
parents:
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|
375 else |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
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|
376 { |
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parents:
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|
377 Array<double> a = a_arg.array_value (); |
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|
378 |
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|
379 if (b_arg.is_scalar_type ()) |
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|
380 { |
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|
381 double b = b_arg.double_value (); |
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|
382 |
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|
383 retval = betaincinv (x, a, b); |
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|
384 } |
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|
385 else |
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|
386 { |
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|
387 Array<double> b = b_arg.array_value (); |
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|
388 |
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|
389 retval = betaincinv (x, a, b); |
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|
390 } |
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Rik <octave@nomad.inbox5.com>
parents:
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|
391 } |
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Rik <octave@nomad.inbox5.com>
parents:
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|
392 } |
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parents:
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|
393 |
14850
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Rik <octave@nomad.inbox5.com>
parents:
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|
394 // FIXME: It would be better to have an algorithm for betaincinv which |
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parents:
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|
395 // accepted float inputs and returned float outputs. As it is, we do |
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|
396 // extra work to calculate betaincinv to double precision and then throw |
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parents:
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|
397 // that precision away. |
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|
398 if (x_arg.is_single_type () || a_arg.is_single_type () |
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|
399 || b_arg.is_single_type ()) |
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parents:
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|
400 { |
67897baaa05f
Adapt implementation of betaincinv to Octave.
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parents:
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|
401 retval = Array<float> (retval.array_value ()); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
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parents:
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|
402 } |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
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diff
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|
403 } |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
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|
404 else |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
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|
405 print_usage (); |
67897baaa05f
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parents:
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|
406 |
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parents:
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|
407 return retval; |
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parents:
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|
408 } |
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Rik <octave@nomad.inbox5.com>
parents:
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diff
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|
409 |
67897baaa05f
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parents:
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|
410 /* |
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parents:
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|
411 %!assert (betaincinv ([0.875 0.6875], [1 2], 3), [0.5 0.5], sqrt (eps)) |
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|
412 %!assert (betaincinv (0.5, 3, 3), 0.5, sqrt (eps)) |
67897baaa05f
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|
413 %!assert (betaincinv (0.34375, 4, 3), 0.5, sqrt (eps)) |
67897baaa05f
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|
414 %!assert (betaincinv (0.2265625, 5, 3), 0.5, sqrt (eps)) |
67897baaa05f
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Rik <octave@nomad.inbox5.com>
parents:
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|
415 %!assert (betaincinv (0.14453125, 6, 3), 0.5, sqrt (eps)) |
67897baaa05f
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parents:
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|
416 %!assert (betaincinv (0.08984375, 7, 3), 0.5, sqrt (eps)) |
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417 %!assert (betaincinv (0.0546875, 8, 3), 0.5, sqrt (eps)) |
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418 %!assert (betaincinv (0.03271484375, 9, 3), 0.5, sqrt (eps)) |
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419 %!assert (betaincinv (0.019287109375, 10, 3), 0.5, sqrt (eps)) |
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420 |
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421 ## Test class single as well |
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422 %!assert (betaincinv ([0.875 0.6875], [1 2], single (3)), [0.5 0.5], sqrt (eps ("single"))) |
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423 %!assert (betaincinv (0.5, 3, single (3)), 0.5, sqrt (eps ("single"))) |
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424 %!assert (betaincinv (0.34375, 4, single (3)), 0.5, sqrt (eps ("single"))) |
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425 |
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426 ## Extreme values |
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427 %!assert (betaincinv (0, 42, 42), 0, sqrt (eps)) |
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428 %!assert (betaincinv (1, 42, 42), 1, sqrt (eps)) |
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429 |
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430 %!error betaincinv () |
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431 %!error betaincinv (1, 2) |
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432 */ |
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433 |