File: integrate

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wims 2%3A4.29a%2Bdfsg1-3
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!if $wims_read_parm!=slib_header
  !goto proc
!endif

slib_author=Gang, XIAO

slib_example=sin(x),x,0,5,numeric\
sin(x),x,0,5\
sqrt(sin(x+4)^2 + cos(x+0.5)^2),x,0,5,numeric\
sin(x),x

slib_require=maxima, pari
!exit

:proc
!distribute items $wims_read_parm into slib_fn,slib_var,slib_x1,slib_x2,slib_opt
slib_fn=!rawmath $slib_fn
slib_var=!varlist $slib_var
slib_var=!item 1 of $slib_var
!default slib_var=x
slib_out=
!if $slib_x1=$slib_empty or $slib_x2=$slib_empty
  slib_out=!exec maxima integrate($slib_fn,$slib_var);
  !exit
!endif
slib_test=$[($slib_x1)+($slib_x2)]
!if numeric notin $slib_opt
  slib_out=!exec maxima integrate($slib_fn,$slib_var,$slib_x1,$slib_x2);
!endif
!if ($slib_out=$empty or integrate isin $slib_out or i isvarof $slib_out) \
  and NaN notin $slib_test
   !!no more a true option (it was not documented), default is fast !
    !!!if fast isin $slib_opt
  slib_out=!exec pari intnum($slib_var=$slib_x1,$slib_x2,$slib_fn)
  !!!else
  !! slib_out=!exec pari intnum($slib_var=$slib_x1,$slib_x2,$slib_fn)
  !!!endif
!endif