unifinv.m

similer program for matlab

## Copyright (C) 1995, 1996, 1997, 2005, 2006, 2007 Kurt Hornik
##
## 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.
##
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## 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/>.

## -*- texinfo -*-
## @deftypefn {Function File} {} unifinv (@var{x}, @var{a}, @var{b})
## For each element of @var{x}, compute the quantile (the inverse of the
## CDF) at @var{x} of the uniform distribution on [@var{a}, @var{b}].
##
## Default values are @var{a} = 0, @var{b} = 1.
## @end deftypefn

## Author: KH <[e-mail]>
## Description: Quantile function of the uniform distribution

function inv = unifinv (x, a, b)

  if (nargin != 1 && nargin != 3)
    print_usage ();
  endif

  if (nargin == 1)
    a = 0;
    b = 1;
  endif

  if (!isscalar (a) || !isscalar(b))
    [retval, x, a, b] = common_size (x, a, b);
    if (retval > 0)
      error ("uniform_cdf: x, a and b must be of common size or scalar");
    endif
  endif

  sz = size (x);
  inv = zeros (sz);

  k = find ((x < 0) | (x > 1) | isnan (x) | !(a < b));
  if (any (k))
    inv(k) = NaN;
  endif

  k = find ((x >= 0) & (x <= 1) & (a < b));
  if (any (k))
    if (isscalar (a) && isscalar(b))
      inv(k) = a + x(k) .* (b - a);
    else
      inv(k) = a(k) + x(k) .* (b(k) - a(k));
    endif
  endif

endfunction