Tests Onedim

Jan Burse, created Sep 15. 2018
/**
* Prolog test cases for the symbolic vector operations.
*
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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(advanced/arith)).
:- use_module(library(misc/residue)).
% vec_cons/3
runner:ref(vec_cons, 3, gauss_onedim, 'gauss 0.9.1, 2.1').
runner:case(vec_cons, 3, gauss_onedim, 'gauss 0.9.1, 2.1, XLOG 1') :-
X is [11,77,44],
printable(X, Y),
Y == [11,77,44].
runner:case(vec_cons, 3, gauss_onedim, 'gauss 0.9.1, 2.1, XLOG 2') :-
X is {I*I|between(1, 10, I)},
printable(X, Y),
Y == [1,4,9,16,25,36,49,64,81,100].
runner:case(vec_cons, 3, gauss_onedim, 'gauss 0.9.1, 2.1, XLOG 3') :-
X is [A,B,A-B,B-A],
printable(X, Y),
Y == [A,B,A-B,-A+B].
runner:case(vec_cons, 3, gauss_onedim, 'gauss 0.9.1, 2.1, XLOG 4') :-
X is 1/A,
Y is {X^I|between(1, 5, I)},
printable(Y, Z),
Z == [1/A,1/A^2,1/A^3,1/A^4,1/A^5].
% vec_at/3
runner:ref(vec_at, 3, gauss_onedim, 'gauss 0.9.1, 2.2').
runner:case(vec_at, 3, gauss_onedim, 'gauss 0.9.1, 2.2, XLOG 1') :-
X is [11,77,44],
Y is X[2],
printable(Y, Z),
Z == 77.
runner:case(vec_at, 3, gauss_onedim, 'gauss 0.9.1, 2.2, XLOG 2') :-
X is [A,B,A-B,B-A],
Y is X[4],
printable(Y, Z),
Z == -A+B.
% vec_len/2
runner:ref(vec_len, 2, gauss_onedim, 'gauss 0.9.1, 2.3').
runner:case(vec_len, 2, gauss_onedim, 'gauss 0.9.1, 2.3, XLOG 1') :-
X is [11,77,44],
Y is len(X),
printable(Y, Z),
Z == 3.
runner:case(vec_len, 2, gauss_onedim, 'gauss 0.9.1, 2.3, XLOG 2') :-
X is [A,B,A-B,B-A],
Y is len(X),
printable(Y, Z),
Z == 4.
% vec_sum/2
runner:ref(vec_sum, 2, gauss_onedim, 'gauss 0.9.1, 2.4').
runner:case(vec_sum, 2, gauss_onedim, 'gauss 0.9.1, 2.4, XLOG 1') :-
X is [11,77,44],
Y is sum(X),
printable(Y, Z),
Z == 132.
runner:case(vec_sum, 2, gauss_onedim, 'gauss 0.9.1, 2.4, XLOG 2') :-
X is [A,B,A-B,B-A],
Y is sum(X),
printable(Y, Z),
Z == A+B.
runner:case(vec_sum, 2, gauss_onedim, 'gauss 0.9.2, 2.4, XLOG 3') :-
X is sum([sqrt(3),sqrt(2)]),
printable(X, Y),
Y == sqrt(2)+sqrt(3).
% vec_min/2
runner:ref(vec_min, 2, gauss_onedim, 'gauss 0.9.1, 2.5').
runner:case(vec_min, 2, gauss_onedim, 'gauss 0.9.1, 2.5, XLOG 1') :-
X is min([5,3,7]),
printable(X, Y),
Y == 3.
runner:case(vec_min, 2, gauss_onedim, 'gauss 0.9.1, 2.5, XLOG 2') :-
X is min([9/5,17/7,6/5]),
printable(X, Y),
Y == 1+1/5.
% vec_max/2
runner:ref(vec_max, 2, gauss_onedim, 'gauss 0.9.1, 2.6').
runner:case(vec_max, 2, gauss_onedim, 'gauss 0.9.1, 2.6, XLOG 1') :-
X is max([5,3,7]),
printable(X, Y),
Y == 7.
runner:case(vec_max, 2, gauss_onedim, 'gauss 0.9.1, 2.6, XLOG 2') :-
X is max([9/5,17/7,6/5]),
printable(X, Y),
Y == 2+3/7.
% vec_neg/2
runner:ref(vec_neg, 2, gauss_onedim, 'gauss 0.9.1, 2.7').
runner:case(vec_neg, 2, gauss_onedim, 'gauss 0.9.1, 2.7, XLOG 1') :-
X is [11,77,44],
Y is -X,
printable(Y, Z),
Z == [-11,-77,-44].
runner:case(vec_neg, 2, gauss_onedim, 'gauss 0.9.1, 2.7, XLOG 2') :-
X is [A,B,A-B,B-A],
Y is -X,
printable(Y, Z),
Z == [-A,-B,-A+B,A-B].
% vec_add/3
runner:ref(vec_add, 3, gauss_onedim, 'gauss 0.9.1, 2.8').
runner:case(vec_add, 3, gauss_onedim, 'gauss 0.9.1, 2.8, XLOG 1') :-
X is [3/10,1/2,1/5],
Y is [3/5,7/10,1/10],
Z is X+Y,
printable(Z, T),
T == [9/10,1+1/5,3/10].
runner:case(vec_add, 3, gauss_onedim, 'gauss 0.9.1, 2.8, XLOG 2') :-
X is [A,B,A-B,B-A],
Y is [B,2*B,3*B,-B],
Z is X+Y,
printable(Z, T),
T == [A+B,3*B,A+2*B,-A].
% vec_sub/3
runner:ref(vec_sub, 3, gauss_onedim, 'gauss 0.9.1, 2.9').
runner:case(vec_sub, 3, gauss_onedim, 'gauss 0.9.1, 2.9, XLOG 1') :-
X is [3/10,1/2,1/5],
Y is [3/5,7/10,1/10],
Z is X-Y,
printable(Z, T),
T == [-3/10,-1/5,1/10].
runner:case(vec_sub, 3, gauss_onedim, 'gauss 0.9.1, 2.9, XLOG 2') :-
X is [A,B,A-B,B-A],
Y is [B,2*B,3*B,-B],
Z is X-Y,
printable(Z, T),
T == [A-B,-B,A-4*B,-A+2*B].

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