Mercurial > octave
view libinterp/corefcn/betainc.cc @ 20940:48b2ad5ee801
maint: Rename oct-obj.[cc|h] to ovl.[cc|h] for clarity.
* libinterp/corefcn/oct-obj.h: Replaced. Contains a #warning issued if used in
compilation and includes "ovl.h" instead. Original file renamed to
libinterp/octave-value/ovl.h
* libinterp/corefcn/oct-obj.cc: Renamed to libinterp/octave-value/ovl.cc.
* oct-obj.cc (ovl ()): Added new function to return empty octave_value_list.
* libinterp/corefcn/module.mk: Remove oct-obj.cc from build system.
* libinterp/octave-value/module.mk: Add ovl.h and ovl.cc to build system.
* mk-opts.pl, annotation-dialog.h, Cell.cc, __contourc__.cc, __dsearchn__.cc,
__lin_interpn__.cc, __pchip_deriv__.cc, __qp__.cc, balance.cc, besselj.cc,
betainc.cc, colloc.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc,
debug.cc, defaults.cc, defun.cc, det.cc, dirfns.cc, dlmread.cc, eig.cc,
error.cc, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc,
gammainc.cc, gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc,
graphics.cc, gripes.cc, help.cc, hess.cc, hex2num.cc, hook-fcn.h, input.cc,
input.h, inv.cc, kron.cc, load-save.cc, lookup.cc, ls-hdf5.cc, ls-mat-ascii.cc,
ls-mat4.cc, ls-mat5.cc, ls-oct-binary.cc, ls-oct-text.cc, lsode.cc, lu.cc,
luinc.cc, max.cc, mex.cc, oct-hist.cc, oct-lvalue.cc, oct-lvalue.h, oct-map.h,
oct-stream.cc, oct.h, ordschur.cc, pager.cc, pinv.cc, pr-output.cc, quad.cc,
quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, sparse-xpow.cc,
strfns.cc, sub2ind.cc, svd.cc, sylvester.cc, symtab.h, syscalls.cc, sysdep.cc,
time.cc, toplev.cc, tril.cc, tsearch.cc, typecast.cc, urlwrite.cc, utils.cc,
variables.cc, xpow.cc, __delaunayn__.cc, __glpk__.cc, __voronoi__.cc,
audiodevinfo.cc, audioread.cc, chol.cc, convhulln.cc, dmperm.cc, qr.cc,
symbfact.cc, mkbuiltins, ov-base-diag.h, ov-base-int.cc, ov-base-mat.cc,
ov-base-mat.h, ov-base-scalar.cc, ov-base-sparse.cc, ov-base-sparse.h,
ov-base.cc, ov-bool-mat.cc, ov-bool.cc, ov-builtin.cc, ov-cell.cc, ov-colon.cc,
ov-complex.cc, ov-cs-list.h, ov-cx-mat.cc, ov-dld-fcn.cc, ov-fcn.cc, ov-fcn.h,
ov-float.cc, ov-flt-complex.cc, ov-flt-cx-mat.cc, ov-flt-re-mat.cc,
ov-int16.cc, ov-int32.cc, ov-int64.cc, ov-int8.cc, ov-java.h, ov-mex-fcn.cc,
ov-perm.h, ov-range.cc, ov-re-mat.cc, ov-scalar.cc, ov-str-mat.cc,
ov-uint16.cc, ov-uint32.cc, ov-uint64.cc, ov-uint8.cc, ov-usr-fcn.cc,
ov-usr-fcn.h, ov.cc, octave.cc, op-b-b.cc, op-b-bm.cc, op-b-sbm.cc, op-bm-b.cc,
op-bm-bm.cc, op-bm-sbm.cc, op-cdm-cdm.cc, op-cell.cc, op-chm.cc, op-class.cc,
op-cm-cm.cc, op-cm-cs.cc, op-cm-m.cc, op-cm-s.cc, op-cm-scm.cc, op-cm-sm.cc,
op-cs-cm.cc, op-cs-cs.cc, op-cs-m.cc, op-cs-s.cc, op-cs-scm.cc, op-cs-sm.cc,
op-dm-dm.cc, op-dm-scm.cc, op-dm-sm.cc, op-double-conv.cc, op-fcdm-fcdm.cc,
op-fcdm-fdm.cc, op-fcm-fcm.cc, op-fcm-fcs.cc, op-fcm-fm.cc, op-fcm-fs.cc,
op-fcn.cc, op-fcs-fcm.cc, op-fcs-fcs.cc, op-fcs-fm.cc, op-fcs-fs.cc,
op-fdm-fdm.cc, op-float-conv.cc, op-fm-fcm.cc, op-fm-fcs.cc, op-fm-fm.cc,
op-fm-fs.cc, op-fs-fcm.cc, op-fs-fcs.cc, op-fs-fm.cc, op-fs-fs.cc,
op-i16-i16.cc, op-i32-i32.cc, op-i64-i64.cc, op-i8-i8.cc, op-int-concat.cc,
op-int-conv.cc, op-m-cm.cc, op-m-cs.cc, op-m-m.cc, op-m-s.cc, op-m-scm.cc,
op-m-sm.cc, op-pm-pm.cc, op-pm-scm.cc, op-pm-sm.cc, op-range.cc, op-s-cm.cc,
op-s-cs.cc, op-s-m.cc, op-s-s.cc, op-s-scm.cc, op-s-sm.cc, op-sbm-b.cc,
op-sbm-bm.cc, op-sbm-sbm.cc, op-scm-cm.cc, op-scm-cs.cc, op-scm-m.cc,
op-scm-s.cc, op-scm-scm.cc, op-scm-sm.cc, op-sm-cm.cc, op-sm-cs.cc, op-sm-m.cc,
op-sm-s.cc, op-sm-scm.cc, op-sm-sm.cc, op-str-m.cc, op-str-s.cc, op-str-str.cc,
op-struct.cc, op-ui16-ui16.cc, op-ui32-ui32.cc, op-ui64-ui64.cc, op-ui8-ui8.cc,
parse.h, pt-arg-list.cc, pt-assign.cc, pt-binop.cc, pt-cbinop.cc, pt-cell.cc,
pt-colon.cc, pt-const.cc, pt-eval.h, pt-fcn-handle.cc, pt-funcall.h, pt-id.cc,
pt-idx.cc, pt-jump.cc, pt-mat.cc, pt-select.cc, pt-unop.cc, token.cc,
Array-sym.cc: replace '#include "oct-obj.h"' with '#include "ovl.h"'.
author | Rik <rik@octave.org> |
---|---|
date | Fri, 18 Dec 2015 16:04:56 -0800 |
parents | 6f0bd96f93c0 |
children | e39e05d90788 |
line wrap: on
line source
/* Copyright (C) 1997-2015 John W. Eaton This file is part of Octave. Octave is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. Octave is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with Octave; see the file COPYING. If not, see <http://www.gnu.org/licenses/>. */ #ifdef HAVE_CONFIG_H #include <config.h> #endif #include "lo-specfun.h" #include "defun.h" #include "error.h" #include "gripes.h" #include "ovl.h" #include "utils.h" DEFUN (betainc, args, , "-*- texinfo -*-\n\ @deftypefn {} {} betainc (@var{x}, @var{a}, @var{b})\n\ Compute the regularized incomplete Beta function.\n\ \n\ The regularized incomplete Beta function is defined by\n\ @tex\n\ $$\n\ I (x, a, b) = {1 \\over {B (a, b)}} \\int_0^x t^{(a-z)} (1-t)^{(b-1)} dt.\n\ $$\n\ @end tex\n\ @ifnottex\n\ @c Set example in small font to prevent overfull line\n\ \n\ @smallexample\n\ @group\n\ x\n\ 1 /\n\ betainc (x, a, b) = ----------- | t^(a-1) (1-t)^(b-1) dt.\n\ beta (a, b) /\n\ t=0\n\ @end group\n\ @end smallexample\n\ \n\ @end ifnottex\n\ \n\ If @var{x} has more than one component, both @var{a} and @var{b} must be\n\ scalars. If @var{x} is a scalar, @var{a} and @var{b} must be of\n\ compatible dimensions.\n\ @seealso{betaincinv, beta, betaln}\n\ @end deftypefn") { if (args.length () != 3) print_usage (); octave_value retval; octave_value x_arg = args(0); octave_value a_arg = args(1); octave_value b_arg = args(2); // FIXME: Can we make a template version of the duplicated code below if (x_arg.is_single_type () || a_arg.is_single_type () || b_arg.is_single_type ()) { if (x_arg.is_scalar_type ()) { float x = x_arg.float_value (); if (a_arg.is_scalar_type ()) { float a = a_arg.float_value (); if (b_arg.is_scalar_type ()) { float b = b_arg.float_value (); retval = betainc (x, a, b); } else { Array<float> b = b_arg.float_array_value (); retval = betainc (x, a, b); } } else { Array<float> a = a_arg.float_array_value (); if (b_arg.is_scalar_type ()) { float b = b_arg.float_value (); retval = betainc (x, a, b); } else { Array<float> b = b_arg.float_array_value (); retval = betainc (x, a, b); } } } else { Array<float> x = x_arg.float_array_value (); if (a_arg.is_scalar_type ()) { float a = a_arg.float_value (); if (b_arg.is_scalar_type ()) { float b = b_arg.float_value (); retval = betainc (x, a, b); } else { Array<float> b = b_arg.float_array_value (); retval = betainc (x, a, b); } } else { Array<float> a = a_arg.float_array_value (); if (b_arg.is_scalar_type ()) { float b = b_arg.float_value (); retval = betainc (x, a, b); } else { Array<float> b = b_arg.float_array_value (); retval = betainc (x, a, b); } } } } else { if (x_arg.is_scalar_type ()) { double x = x_arg.double_value (); if (a_arg.is_scalar_type ()) { double a = a_arg.double_value (); if (b_arg.is_scalar_type ()) { double b = b_arg.double_value (); retval = betainc (x, a, b); } else { Array<double> b = b_arg.array_value (); retval = betainc (x, a, b); } } else { Array<double> a = a_arg.array_value (); if (b_arg.is_scalar_type ()) { double b = b_arg.double_value (); retval = betainc (x, a, b); } else { Array<double> b = b_arg.array_value (); retval = betainc (x, a, b); } } } else { Array<double> x = x_arg.array_value (); if (a_arg.is_scalar_type ()) { double a = a_arg.double_value (); if (b_arg.is_scalar_type ()) { double b = b_arg.double_value (); retval = betainc (x, a, b); } else { Array<double> b = b_arg.array_value (); retval = betainc (x, a, b); } } else { Array<double> a = a_arg.array_value (); if (b_arg.is_scalar_type ()) { double b = b_arg.double_value (); retval = betainc (x, a, b); } else { Array<double> b = b_arg.array_value (); retval = betainc (x, a, b); } } } } return retval; } /* ## Double precision %!test %! a = [1, 1.5, 2, 3]; %! b = [4, 3, 2, 1]; %! v1 = betainc (1,a,b); %! v2 = [1,1,1,1]; %! x = [.2, .4, .6, .8]; %! v3 = betainc (x, a, b); %! v4 = 1 - betainc (1.-x, b, a); %! assert (v1, v2, sqrt (eps)); %! assert (v3, v4, sqrt (eps)); ## Single precision %!test %! a = single ([1, 1.5, 2, 3]); %! b = single ([4, 3, 2, 1]); %! v1 = betainc (1,a,b); %! v2 = single ([1,1,1,1]); %! x = single ([.2, .4, .6, .8]); %! v3 = betainc (x, a, b); %! v4 = 1 - betainc (1.-x, b, a); %! assert (v1, v2, sqrt (eps ("single"))); %! assert (v3, v4, sqrt (eps ("single"))); ## Mixed double/single precision %!test %! a = single ([1, 1.5, 2, 3]); %! b = [4, 3, 2, 1]; %! v1 = betainc (1,a,b); %! v2 = single ([1,1,1,1]); %! x = [.2, .4, .6, .8]; %! v3 = betainc (x, a, b); %! v4 = 1-betainc (1.-x, b, a); %! assert (v1, v2, sqrt (eps ("single"))); %! assert (v3, v4, sqrt (eps ("single"))); %!error betainc () %!error betainc (1) %!error betainc (1,2) %!error betainc (1,2,3,4) */ DEFUN (betaincinv, args, , "-*- texinfo -*-\n\ @deftypefn {} {} betaincinv (@var{y}, @var{a}, @var{b})\n\ Compute the inverse of the incomplete Beta function.\n\ \n\ The inverse is the value @var{x} such that\n\ \n\ @example\n\ @var{y} == betainc (@var{x}, @var{a}, @var{b})\n\ @end example\n\ @seealso{betainc, beta, betaln}\n\ @end deftypefn") { if (args.length () != 3) print_usage (); octave_value retval; octave_value x_arg = args(0); octave_value a_arg = args(1); octave_value b_arg = args(2); if (x_arg.is_scalar_type ()) { double x = x_arg.double_value (); if (a_arg.is_scalar_type ()) { double a = a_arg.double_value (); if (b_arg.is_scalar_type ()) { double b = b_arg.double_value (); retval = betaincinv (x, a, b); } else { Array<double> b = b_arg.array_value (); retval = betaincinv (x, a, b); } } else { Array<double> a = a_arg.array_value (); if (b_arg.is_scalar_type ()) { double b = b_arg.double_value (); retval = betaincinv (x, a, b); } else { Array<double> b = b_arg.array_value (); retval = betaincinv (x, a, b); } } } else { Array<double> x = x_arg.array_value (); if (a_arg.is_scalar_type ()) { double a = a_arg.double_value (); if (b_arg.is_scalar_type ()) { double b = b_arg.double_value (); retval = betaincinv (x, a, b); } else { Array<double> b = b_arg.array_value (); retval = betaincinv (x, a, b); } } else { Array<double> a = a_arg.array_value (); if (b_arg.is_scalar_type ()) { double b = b_arg.double_value (); retval = betaincinv (x, a, b); } else { Array<double> b = b_arg.array_value (); retval = betaincinv (x, a, b); } } } // FIXME: It would be better to have an algorithm for betaincinv which // accepted float inputs and returned float outputs. As it is, we do // extra work to calculate betaincinv to double precision and then throw // that precision away. if (x_arg.is_single_type () || a_arg.is_single_type () || b_arg.is_single_type ()) { retval = Array<float> (retval.array_value ()); } return retval; } /* %!assert (betaincinv ([0.875 0.6875], [1 2], 3), [0.5 0.5], sqrt (eps)) %!assert (betaincinv (0.5, 3, 3), 0.5, sqrt (eps)) %!assert (betaincinv (0.34375, 4, 3), 0.5, sqrt (eps)) %!assert (betaincinv (0.2265625, 5, 3), 0.5, sqrt (eps)) %!assert (betaincinv (0.14453125, 6, 3), 0.5, sqrt (eps)) %!assert (betaincinv (0.08984375, 7, 3), 0.5, sqrt (eps)) %!assert (betaincinv (0.0546875, 8, 3), 0.5, sqrt (eps)) %!assert (betaincinv (0.03271484375, 9, 3), 0.5, sqrt (eps)) %!assert (betaincinv (0.019287109375, 10, 3), 0.5, sqrt (eps)) ## Test class single as well %!assert (betaincinv ([0.875 0.6875], [1 2], single (3)), [0.5 0.5], sqrt (eps ("single"))) %!assert (betaincinv (0.5, 3, single (3)), 0.5, sqrt (eps ("single"))) %!assert (betaincinv (0.34375, 4, single (3)), 0.5, sqrt (eps ("single"))) ## Extreme values %!assert (betaincinv (0, 42, 42), 0, sqrt (eps)) %!assert (betaincinv (1, 42, 42), 1, sqrt (eps)) %!error betaincinv () %!error betaincinv (1, 2) */