Description

vcpower(x,c) = x**c, c a constant

Small Model of Type : GAMS

Category : GAMS Test library

Main file : fnvcpow.gms   includes :   fnset_xy.inc [html]  fntest_xy.inc [html]

$title 'Test correctness of vcpower intrinsic' (FNVCPOW,SEQ=181)

* vcpower(x,c) = x**c, c a constant
$include fnset_xy.inc

$gdxIn fnvcpow
$load aeps reps relToInput T data
$gdxIn

loop {T,
  data(T,  'f')  = vcpower.value(   data(T,'x'),data(T,'y'));
  data(T, 'fx')  = vcpower.grad(1:  data(T,'x'),data(T,'y'));
  data(T, 'fy')  = vcpower.grad(2:  data(T,'x'),data(T,'y'));
  data(T,'fxx')  = vcpower.hess(1:1:data(T,'x'),data(T,'y'));
  data(T,'fxy')  = vcpower.hess(1:2:data(T,'x'),data(T,'y'));
  data(T,'fyx')  = vcpower.hess(2:1:data(T,'x'),data(T,'y'));
  data(T,'fyy')  = vcpower.hess(2:2:data(T,'x'),data(T,'y'));
  data(T, 'rc')  = mathlastrc;
  data(T, 'ec')  = mathlastec;
};

abort$(execerror lt 10)
  'Should get execution errors getting grad/hess of x**c, x < 0)';
execerror = 0;

$onDollar
* Some systems flush underflow to zero by default.
* This makes for less accurate results for some derivs if x < 1, c > 1
$ifI %system.platform% == LEX $set flushunder
$ifI %system.platform% == WEX $set flushunder

$if not set flushunder $goTo noflushunder
* cannot do 1e-285, exponent too small!!
* $if defined aeps aeps = max(aeps,1e-285);
$if defined aeps aeps = max(aeps,power(10,-285));
$label noflushunder

$include fntest_xy.inc