Description

Test some exceptional cases here

We use the principal branch of arcsin, corresponding to
  arcsin(-1) = -PI/2
  arcsin( 0) = 0
  arcsin( 1) = PI/2

ENUM            VAL
----            ---
rcOK            0
rcFUNC          1
rcGRAD          2
rcHESS          3
rcSYSTEM        4

ecOK            0
ecDOMAIN        1
ecSINGULAR      2
ecOVERFLOW      3
ecSIGLOSS       4

Small Model of Type : GAMS

Category : GAMS Test library

Main file : fnasinx.gms   includes :   fnset_x.inc [html]  fntest_x.inc [html]

$title 'Test correctness of arcsin intrinsic eXceptions' (FNASINX,SEQ=273)

$onText

Test some exceptional cases here

We use the principal branch of arcsin, corresponding to
  arcsin(-1) = -PI/2
  arcsin( 0) = 0
  arcsin( 1) = PI/2

ENUM            VAL
----            ---
rcOK            0
rcFUNC          1
rcGRAD          2
rcHESS          3
rcSYSTEM        4

ecOK            0
ecDOMAIN        1
ecSINGULAR      2
ecOVERFLOW      3
ecSIGLOSS       4

$offText

$include fnset_x.inc

reps = 1e-13;
relToInput = 0;
set T / t1 * t6 /;

$set OFLO  1.e299

table data(T,V)
        x       f_              fx_     fxx_    rc_     ec_
t1     -2                                       1       1
t2     -1.5                                     1       1
t3     -1    -1.5707963267949  %OFLO% -%OFLO%   2       2
t4      1     1.5707963267949  %OFLO%  %OFLO%   2       2
t5      1.5                                     1       1
t6      2                                       1       1
;

loop {T,
  data(T,  'f')  = arcsin.value(   data(T,'x'));
  data(T, 'fx')  = arcsin.grad(1:  data(T,'x'));
  data(T,'fxx')  = arcsin.hess(1:1:data(T,'x'));
  data(T, 'rc')  = mathlastrc;
  data(T, 'ec')  = mathlastec;
};

display data;

abort$(execerror lt 6)
  'Should get function evaluation errors';
execerror = 0;

$include fntest_x.inc