update packages

[CreaPhase.git] / octave_packages / m / statistics / distributions / poisscdf.m

diff --git a/octave_packages/m/statistics/distributions/poisscdf.m b/octave_packages/m/statistics/distributions/poisscdf.m
new file mode 100644 (file)
index 0000000..6342f21
--- /dev/null
+++ b/octave_packages/m/statistics/distributions/poisscdf.m
@@ -0,0 +1,90 @@
+## Copyright (C) 2012 Rik Wehbring
+## Copyright (C) 1995-2012 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.
+##
+## 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/>.
+
+## -*- texinfo -*-
+## @deftypefn {Function File} {} poisscdf (@var{x}, @var{lambda})
+## For each element of @var{x}, compute the cumulative distribution
+## function (CDF) at @var{x} of the Poisson distribution with parameter
+## lambda.
+## @end deftypefn
+
+## Author: KH <Kurt.Hornik@wu-wien.ac.at>
+## Description: CDF of the Poisson distribution
+
+function cdf = poisscdf (x, lambda)
+
+  if (nargin != 2)
+    print_usage ();
+  endif
+
+  if (!isscalar (lambda))
+    [retval, x, lambda] = common_size (x, lambda);
+    if (retval > 0)
+      error ("poisscdf: X and LAMBDA must be of common size or scalars");
+    endif
+  endif
+
+  if (iscomplex (x) || iscomplex (lambda))
+    error ("poisscdf: X and LAMBDA must not be complex");
+  endif
+
+  if (isa (x, "single") || isa (lambda, "single"))
+    cdf = zeros (size (x), "single");
+  else
+    cdf = zeros (size (x));
+  endif
+
+  k = isnan (x) | !(lambda > 0);
+  cdf(k) = NaN;
+
+  k = (x == Inf) & (lambda > 0);
+  cdf(k) = 1;
+
+  k = (x >= 0) & (x < Inf) & (lambda > 0);
+  if (isscalar (lambda))
+    cdf(k) = 1 - gammainc (lambda, floor (x(k)) + 1);
+  else
+    cdf(k) = 1 - gammainc (lambda(k), floor (x(k)) + 1);
+  endif
+
+endfunction
+
+
+%!shared x,y
+%! x = [-1 0 1 2 Inf];
+%! y = [0, gammainc(1, (x(2:4) +1), 'upper'), 1];
+%!assert(poisscdf (x, ones(1,5)), y);
+%!assert(poisscdf (x, 1), y);
+%!assert(poisscdf (x, [1 0 NaN 1 1]), [y(1) NaN NaN y(4:5)]);
+%!assert(poisscdf ([x(1:2) NaN Inf x(5)], 1), [y(1:2) NaN 1 y(5)]);
+
+%% Test class of input preserved
+%!assert(poisscdf ([x, NaN], 1), [y, NaN]);
+%!assert(poisscdf (single([x, NaN]), 1), single([y, NaN]), eps("single"));
+%!assert(poisscdf ([x, NaN], single(1)), single([y, NaN]), eps("single"));
+
+%% Test input validation
+%!error poisscdf ()
+%!error poisscdf (1)
+%!error poisscdf (1,2,3)
+%!error poisscdf (ones(3),ones(2))
+%!error poisscdf (ones(2),ones(3))
+%!error poisscdf (i, 2)
+%!error poisscdf (2, i)
+