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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!! Generation of the trinomial function !!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!set gl_rand1 =!randint 0,1
!set gl_rand2=!randint 1,9
!set gl_a =$[(-1)^$gl_rand1 * $gl_rand2]
!set gl_b =!randint -9,9
!set gl_c =!randint -9,9
!set gl_expr =!exec pari $gl_a*x^2+$gl_b*x+$gl_c
!!!!!!!!!!!!!!!!!!!!!!
!!!! Discriminant !!!!
!!!!!!!!!!!!!!!!!!!!!!
!set gl_delta =!exec pari $[($gl_b)^2-4*$gl_a*$gl_c]
!if $gl_a>0
!set gl_itema=!texmath $gl_a
!else
!set gl_itema= ($gl_a)
!endif
!if $gl_b>=0
!set gl_itemb=!texmath $gl_b
!else
!set gl_itemb=($gl_b)
!endif
!if $gl_c>=0
!set gl_itemc=!texmath $gl_c
!else
!set gl_itemc=($gl_c)
!endif
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!! Generation of non trinomial function !!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!set gl_d=!randint -9,9
!set gl_choix=!randint 1,3
!set gl_expr1 =!exec pari $gl_a*x+$gl_b
!set gl_expr2 =!exec pari $gl_a*x^3+$gl_b*x^2+$gl_c*x+$gl_d
!set gl_expr3 =$gl_a/x+$gl_b*x+$gl_c
!!!!!!!!!!!!!!!!!!!!!!!!
!!!! Canonical form !!!!
!!!!!!!!!!!!!!!!!!!!!!!!
!set gl_coef1=!exec pari $gl_b/(2*$gl_a)
!set gl_coef2=!exec pari -1*$gl_delta/(4*($gl_a)^2)
!set gl_coef3=!exec pari -1*$gl_delta/(4*$gl_a)
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