# HG changeset patch
# User Mike Miller <mtmiller@ieee.org>
# Date 1367183291 14400
# Node ID 1a3bfb14b5da2c0932e0cf9465cab7e58ca82fcb
# Parent  2f766ceeb03e6591932b904022323c36e2098314
Add and fix tests for ellipj, ellipke, and expint

* ellipj.cc: Fix demo, add validation tests.
* ellipke.m: Fix assert arguments, add tests.
* expint.m: Add tests.

diff -r 2f766ceeb03e -r 1a3bfb14b5da libinterp/corefcn/ellipj.cc
--- a/libinterp/corefcn/ellipj.cc	Wed Apr 24 23:22:50 2013 -0400
+++ b/libinterp/corefcn/ellipj.cc	Sun Apr 28 17:08:11 2013 -0400
@@ -406,13 +406,14 @@
 %! [sn, cn, dn] = ellipj(U,M);
 %!
 %! %% Plotting
-%! figure(2)
 %! c = colormap(hot(64));
 %! data = {sn,cn,dn};
 %! dname = {"sn","cn","dn"};
 %! for i=1:3
 %!   subplot(1,3,i);
-%!   image(m,u,32*clip(data{i},[-1,1])+32); # clip function belongs to audio package
+%!   data{i}(data{i} > 1) = 1;
+%!   data{i}(data{i} < -1) = -1;
+%!   image(m,u,32*data{i}+32);
 %!   title(dname{i});
 %! end
 %! colormap(c);
@@ -911,4 +912,8 @@
 %! assert(sn,S,8*eps);
 %! assert(cn,C,8*eps);
 %! assert(dn,D,8*eps);
+
+%!error ellipj ()
+%!error ellipj (1)
+%!error ellipj (1,2,3,4)
 */
diff -r 2f766ceeb03e -r 1a3bfb14b5da scripts/specfun/ellipke.m
--- a/scripts/specfun/ellipke.m	Wed Apr 24 23:22:50 2013 -0400
+++ b/scripts/specfun/ellipke.m	Sun Apr 28 17:08:11 2013 -0400
@@ -95,7 +95,7 @@
 %! [k,e] = ellipke(m);
 %!
 %! # K(1.0) is really infinity - see below
-%! K = [ 
+%! k_exp = [ 
 %!  1.5707963267948966192;
 %!  1.5747455615173559527;
 %!  1.6124413487202193982;
@@ -103,7 +103,7 @@
 %!  2.5780921133481731882;
 %!  3.6956373629898746778;
 %!  0.0 ];
-%! E = [
+%! e_exp = [
 %!  1.5707963267948966192;
 %!  1.5668619420216682912;
 %!  1.5307576368977632025;
@@ -112,5 +112,38 @@
 %!  1.0159935450252239356;
 %!  1.0 ];
 %! if k(7)==Inf, k(7)=0.0; endif;
-%! assert(K,k,8*eps);
-%! assert(E,e,8*eps);
+%! assert(k,k_exp,k,8*eps);
+%! assert(e,e_exp,8*eps);
+
+%% Test against A&S Table 17.1
+%!test
+%! m = [0:5:50]'/100;
+%! k_exp = [1.570796326794897;
+%!          1.591003453790792;
+%!          1.612441348720219;
+%!          1.635256732264580;
+%!          1.659623598610528;
+%!          1.685750354812596;
+%!          1.713889448178791;
+%!          1.744350597225613;
+%!          1.777519371491253;
+%!          1.813883936816983;
+%!          1.854074677301372 ];
+%! e_exp = [1.570796327;
+%!          1.550973352;
+%!          1.530757637;
+%!          1.510121831;
+%!          1.489035058;
+%!          1.467462209;
+%!          1.445363064;
+%!          1.422691133;
+%!          1.399392139;
+%!          1.375401972;
+%!          1.350643881 ];
+%! [k,e] = ellipke (m);
+%! assert (k, k_exp, 1e-15);
+%! assert (e, e_exp, 1e-8);
+
+%% Test input validation
+%!error ellipke ()
+%!error ellipke (1,2,3)
diff -r 2f766ceeb03e -r 1a3bfb14b5da scripts/specfun/expint.m
--- a/scripts/specfun/expint.m	Wed Apr 24 23:22:50 2013 -0400
+++ b/scripts/specfun/expint.m	Sun Apr 28 17:08:11 2013 -0400
@@ -105,3 +105,67 @@
     endif
   endfor
 endfunction
+
+%% Test against A&S Table 5.1
+%!test
+%! x = [5:5:50]'/100;
+%! gamma = 0.5772156649;
+%! y_exp = [0.9876375971;
+%!          0.9755453033;
+%!          0.9637156702;
+%!          0.9521414833;
+%!          0.9408157528;
+%!          0.9297317075;
+%!          0.9188827858;
+%!          0.9082626297;
+%!          0.8978650778;
+%!          0.8876841584 ];
+%! y = (expint (x) + log(x) + gamma) ./ x;
+%! assert (y, y_exp, 1e-9);
+%!test
+%! x = [50:5:95]'/100;
+%! y_exp = [0.559773595;
+%!          0.503364081;
+%!          0.454379503;
+%!          0.411516976;
+%!          0.373768843;
+%!          0.340340813;
+%!          0.310596579;
+%!          0.284019269;
+%!          0.260183939;
+%!          0.238737524 ];
+%! y = expint (x);
+%! assert (y, y_exp, 1e-9);
+%!test
+%! x = [100:5:145]'/100;
+%! y_exp = [0.219383934;
+%!          0.201872813;
+%!          0.185990905;
+%!          0.171555354;
+%!          0.158408437;
+%!          0.146413373;
+%!          0.135450958;
+%!          0.125416844;
+%!          0.116219313;
+%!          0.107777440 ];
+%! y = expint (x);
+%! assert (y, y_exp, 1e-9);
+%!test
+%! x = [150:5:200]'/100;
+%! y_exp = [0.100019582;
+%!          0.092882108;
+%!          0.086308334;
+%!          0.080247627;
+%!          0.074654644;
+%!          0.069488685;
+%!          0.064713129;
+%!          0.060294967;
+%!          0.056204378;
+%!          0.052414380;
+%!          0.048900511 ];
+%! y = expint (x);
+%! assert (y, y_exp, 1e-9);
+
+%% Test input validation
+%!error expint ()
+%!error expint (1,2)