Tests Parteval

Jan Burse, erstellt 15. Sep 2018
/**
* Prolog test cases for the symbolic fractions partial evaluation.
*
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:- use_package(library(jekdev/reference/testing)).
:- multifile runner:ref/4.
:- discontiguous runner:ref/4.
:- multifile runner:case/4.
:- discontiguous runner:case/4.
:- use_module(library(groebner/generic)).
:- use_module(library(misc/residue)).
% eval_neg/2
runner:ref(eval_neg, 2, groebner_parteval, 'groebner 0.9.1, 2.1').
runner:case(eval_neg, 2, groebner_parteval, 'groebner 0.9.1, 2.1, XLOG 1') :-
X is -5,
printable(X, Y),
Y == -5.
runner:case(eval_neg, 2, groebner_parteval, 'groebner 0.9.1, 2.1, XLOG 2') :-
X is -(1/3),
printable(X, Y),
Y == -1/3.
runner:case(eval_neg, 2, groebner_parteval, 'groebner 0.9.2, 2.1, XLOG 3') :-
X is -(1+sqrt(2)),
printable(X, Y),
Y == -1-sqrt(2).
% eval_add/3
runner:ref(eval_add, 3, groebner_parteval, 'groebner 0.9.1, 2.2').
runner:case(eval_add, 3, groebner_parteval, 'groebner 0.9.1, 2.2, XLOG 1') :-
X is 5+8,
printable(X, Y),
Y == 13.
runner:case(eval_add, 3, groebner_parteval, 'groebner 0.9.1, 2.2, XLOG 2') :-
X is 5+3/8,
printable(X, Y),
Y == 5+3/8.
runner:case(eval_add, 3, groebner_parteval, 'groebner 0.9.1, 2.2, XLOG 3') :-
X is 5/3+8,
printable(X, Y),
Y == 9+2/3.
runner:case(eval_add, 3, groebner_parteval, 'groebner 0.9.1, 2.2, XLOG 4') :-
X is 1/3+1/2,
printable(X, Y),
Y == 5/6.
runner:case(eval_add, 3, groebner_parteval, 'groebner 0.9.2, 2.2, XLOG 5') :-
X is 1+sqrt(2)+(1+sqrt(2)),
printable(X, Y),
Y == 2+sqrt(8).
% eval_sub/3
runner:ref(eval_sub, 3, groebner_parteval, 'groebner 0.9.1, 2.3').
runner:case(eval_sub, 3, groebner_parteval, 'groebner 0.9.1, 2.3, XLOG 1') :-
X is 5-8,
printable(X, Y),
Y == -3.
runner:case(eval_sub, 3, groebner_parteval, 'groebner 0.9.1, 2.3, XLOG 2') :-
X is 5-3/8,
printable(X, Y),
Y == 4+5/8.
runner:case(eval_sub, 3, groebner_parteval, 'groebner 0.9.1, 2.3, XLOG 3') :-
X is 5/3-8,
printable(X, Y),
Y == -6-1/3.
runner:case(eval_sub, 3, groebner_parteval, 'groebner 0.9.1, 2.3, XLOG 4') :-
X is 1/3-1/2,
printable(X, Y),
Y == -1/6.
runner:case(eval_sub, 3, groebner_parteval, 'groebner 0.9.2, 2.3, XLOG 5') :-
X is 1+sqrt(2)-(1-sqrt(2)),
printable(X, Y),
Y == sqrt(8).
% eval_mul/3
runner:ref(eval_mul, 3, groebner_parteval, 'groebner 0.9.1, 2.4').
runner:case(eval_mul, 3, groebner_parteval, 'groebner 0.9.1, 2.4, XLOG 1') :-
X is 5*8,
printable(X, Y),
Y == 40.
runner:case(eval_mul, 3, groebner_parteval, 'groebner 0.9.1, 2.4, XLOG 2') :-
X is 5*(3/8),
printable(X, Y),
Y == 1+7/8.
runner:case(eval_mul, 3, groebner_parteval, 'groebner 0.9.1, 2.4, XLOG 3') :-
X is 5/ -3*8,
printable(X, Y),
Y == -13-1/3.
runner:case(eval_mul, 3, groebner_parteval, 'groebner 0.9.1, 2.4, XLOG 4') :-
X is -1/3*(-1/2),
printable(X, Y),
Y == 1/6.
runner:case(eval_mul, 3, groebner_parteval, 'groebner 0.9.2, 2.4, XLOG 5') :-
X is (1+sqrt(2))*(1+sqrt(2)),
printable(X, Y),
Y == 3+sqrt(8).
% eval_slash/3
runner:ref(eval_slash, 3, groebner_parteval, 'groebner 0.9.1, 2.5').
runner:case(eval_slash, 3, groebner_parteval, 'groebner 0.9.1, 2.5, XLOG 1') :-
X is 0/(1+sqrt(2)),
printable(X, Y),
Y == 0.
runner:case(eval_slash, 3, groebner_parteval, 'groebner 0.9.1, 2.5, XLOG 2') :-
X is 5/8,
printable(X, Y),
Y == 5/8.
runner:case(eval_slash, 3, groebner_parteval, 'groebner 0.9.1, 2.5, XLOG 3') :-
X is 5/(3/8),
printable(X, Y),
Y == 13+1/3.
runner:case(eval_slash, 3, groebner_parteval, 'groebner 0.9.1, 2.5, XLOG 4') :-
X is 5/3/ -8,
printable(X, Y),
Y == -5/24.
runner:case(eval_slash, 3, groebner_parteval, 'groebner 0.9.1, 2.5, XLOG 5') :-
X is -1/3/(1/ -2),
printable(X, Y),
Y == 2/3.
runner:case(eval_slash, 3, groebner_parteval, 'groebner 0.9.2, 2.5, XLOG 6') :-
X is (1+sqrt(2))/(1-sqrt(2)),
printable(X, Y),
Y == -3-sqrt(8).
runner:case(eval_slash, 3, groebner_parteval, 'groebner 0.9.2, 2.5, XLOG 7') :-
catch(_ is sqrt(2)/0, error(E,_), true),
E == evaluation_error(zero_divisor).
% eval_int_pow/3
runner:ref(eval_int_pow, 3, groebner_parteval, 'groebner 0.9.1, 2.6').
runner:case(eval_int_pow, 3, groebner_parteval, 'groebner 0.9.1, 2.6, XLOG 1') :-
X is -5^2,
printable(X, Y),
Y == 25.
runner:case(eval_int_pow, 3, groebner_parteval, 'groebner 0.9.1, 2.6, XLOG 2') :-
X is (2/3)^5,
printable(X, Y),
Y == 32/243.
runner:case(eval_int_pow, 3, groebner_parteval, 'groebner 0.9.2, 2.6, XLOG 3') :-
X is 5^ -2,
printable(X, Y),
Y == 1/25.
runner:case(eval_int_pow, 3, groebner_parteval, 'groebner 0.9.2, 2.6, XLOG 4') :-
X is (-2/3)^ -5,
printable(X, Y),
Y == -7-19/32.
runner:case(eval_int_pow, 3, groebner_parteval, 'groebner 0.9.2, 2.6, XLOG 5') :-
X is (1+sqrt(2))^3,
printable(X, Y),
Y == 7+sqrt(50).
% eval_sqrt/2.
runner:ref(eval_sqrt, 2, groebner_parteval, 'groebner 0.9.2, 2.7').
runner:case(eval_sqrt, 2, groebner_parteval, 'groebner 0.9.2, 2.7, XLOG 1') :-
X is sqrt(6),
printable(X, Y),
Y == sqrt(6).
runner:case(eval_sqrt, 2, groebner_parteval, 'groebner 0.9.2, 2.7, XLOG 2') :-
X is sqrt(49),
printable(X, Y),
Y == 7.
runner:case(eval_sqrt, 2, groebner_parteval, 'groebner 0.9.2, 2.7, XLOG 3') :-
X is sqrt(5/3),
printable(X, Y),
Y == sqrt(1+2/3).
runner:case(eval_sqrt, 2, groebner_parteval, 'groebner 0.9.2, 2.7, XLOG 4') :-
X is sqrt(4/9),
printable(X, Y),
Y == 2/3.
runner:case(eval_sqrt, 2, groebner_parteval, 'groebner 0.9.2, 2.7, XLOG 5') :-
X is sqrt(7+sqrt(14)),
printable(X, Y),
Y == sqrt(7+sqrt(14)).
runner:case(eval_sqrt, 2, groebner_parteval, 'groebner 0.9.2, 2.7, XLOG 6') :-
catch(_ is sqrt(-1), error(E,_), true),
E == evaluation_error(undefined).

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