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test-prolog.pl~
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test-prolog.pl~
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%%% -*- Mode: Prolog -*-
test_coefficients() :-
coefficients(y^0, [1]),
coefficients(0*x-3, [-3]), %coefficiente nullo, si può sorvolare
coefficients(-y*x+y, [1, -1]),
coefficients(0*x, []), %coeff nullo
coefficients(poly([m(-3, 0, []), m(-4, 1, [v(1, x)])]), [-3, -4]),
coefficients(m(-1, 1, [v(1, x)]), [-1]),
coefficients(m(1, 0, []), [1]).
test_variables() :-
variables(x*y*z, [x, y, z]),
variables(0*x*y, []), %coefficiente 0
variables(x^0, []), %grado 0
variables(x+y^2, [x, y]),
variables(3*b-a, [a, b]),
variables(poly([m(1, 0, [])]), []),
variables(poly([m(-3, 0, []), m(-4, 1, [v(1, x)])]), [x]).
test_monomials() :-
monomials(x*y+3, [m(3, 0, []), m(1, 2, [v(1, x), v(1, y)])]),
monomials(0*x-y, [m(-1, 1, [v(1, y)])]),
monomials(-pippo^123*pluto, [m(-1, 124, [v(123, pippo), v(1, pluto)])]),
monomials(x+x+x+x, [m(4, 1, [v(1, x)])]),
monomials(x+x+x+0*x, [m(3, 1, [v(1, x)])]).
test_maxdegree() :-
maxdegree(x^0, 0),
maxdegree(pippo^3*pippo, 4),
maxdegree(a^3-b+ciao^2, 3),
maxdegree(-a-b^7-c^2, 7),
maxdegree(-b-b^7-b^2, 7).
test_mindegree() :-
mindegree(x^0, 0),
mindegree(pippo^3*pippo, 4),
mindegree(a^3-b+ciao^2, 1),
mindegree(-a-b^7-c^2, 1),
mindegree(-b^0-b^7-b^2, 0). %grado 0, ma coeff è sempre 1 (o -1 in questo caso)
test_polyplus() :-
polyplus(a^3, 3*b, poly([m(3, 1, [v(1, b)]), m(1, 3, [v(3, a)])])),
polyplus(0*x, b, poly([m(1, 1, [v(1, b)])])),
polyplus(a+c^3, a^0, poly([m(1, 0, []), m(1, 1, [v(1, a)]), m(1, 3, [v(3, c)])])),
polyplus(x^0, 3*x^0, poly([m(4, 0, [])])),
polyplus(3, 5, poly([m(8, 0, [])])),
polyplus(poly([m(-1, 1, [v(1, x)])]), poly([m(3, 1, [v(1, x)])]), poly([m(2, 1, [v(1, x)])])),
polyplus(poly([m(1, 2, [v(1, a), v(1, b)])]), poly([m(1, 2, [v(1, a), v(1, b)])]), poly([m(2, 2, [v(1, a), v(1, b)])])).
test_polyminus() :-
polyminus(a^3, 3*b, poly([m(-3, 1, [v(1, b)]), m(1, 3, [v(3, a)])])),
polyminus(0*x, b, poly([m(-1, 1, [v(1, b)])])),
polyminus(a + c ^ 3, a ^ 0, poly([m(-1, 0, []), m(1, 1, [v(1, a)]), m(1, 3, [v(3, c)])])),
polyminus(x ^ 0, 3 *x ^ 0, poly([m(-2, 0, [])])),
polyminus(3, 5, poly([m(-2, 0, [])])),
polyminus(poly([m(-1, 1, [v(1, x)])]), poly([m(3, 1, [v(1, x)])]), poly([m(-4, 1, [v(1, x)])])),
polyminus(poly([m(1, 2, [v(1, a), v(1, b)])]), poly([m(1, 2, [v(1, a), v(1, b)])]), poly([])). %coeff è zero, elimino monomio
test_polytimes() :-
polytimes(1, a * b * c, poly([m(1, 3, [v(1, a), v(1, b), v(1, c)])])),
polytimes(0, a * b * c, poly([])),
polytimes(a^0, a, poly([m(1, 1, [v(1, a)])])),
polytimes(pippo * pluto, 0 + pippo, poly([m(1, 3, [v(2, pippo), v(1, pluto)])])),
polytimes(x + y, a * b * c, poly([m(1, 4, [v(1, a), v(1, b), v(1, c), v(1, x)]), m(1, 4, [v(1, a), v(1, b), v(1, c), v(1, y)])])),
polytimes(x + y, a + b, poly([m(1, 2, [v(1, a), v(1, x)]), m(1, 2, [v(1, a), v(1, y)]), m(1, 2, [v(1, b), v(1, x)]), m(1, 2, [v(1, b), v(1, y)])])),
polytimes(a + b, a + b, poly([m(2, 2, [v(1, a), v(1, b)]), m(1, 2, [v(2, a)]), m(1, 2, [v(2, b)])])).
test_as_monomial() :-
as_monomial(3 * ciao ^2 * bea ^ 3, m(3, 5, [v(3, bea), v(2, ciao)])),
as_monomial(3 * x ^ 0,m(3, 0, [])),
as_monomial(0 * a * b * c * quellochevoglio, m(0, 0, [])),
as_monomial(-foo^42, m(-1, 42, [v(42, foo)])),
as_monomial(-42 * foo * bar ^ 42, m(-42, 43, [v(42, bar), v(1, foo)])),
as_monomial(pippo * pippo * pippo * pippo * pippo^5, m(1, 9, [v(9, pippo)])),
as_monomial(a * b * a * b * a * c * b, m(1, 7, [v(3, a), v(3, b), v(1, c)])).
test_as_polynomial() :-
as_polynomial( 0 + 0 + 0, poly([])),
as_polynomial( 0 + 0 + x, poly([m(1, 1, [v(1, x)])])),
as_polynomial(a^2 + b^2 + a * b + b * a, poly([m(2, 2, [v(1, a), v(1, b)]), m(1, 2, [v(2, a)]), m(1, 2, [v(2, b)])])),
as_polynomial(pippo + gennaro + 3 * pippo, poly([m(1, 1, [v(1, gennaro)]), m(4, 1, [v(1, pippo)])])),
as_polynomial(a * b + c * d + a * d + s * d, poly([m(1, 2, [v(1, a), v(1, b)]), m(1, 2, [v(1, a), v(1, d)]), m(1, 2, [v(1, c), v(1, d)]), m(1, 2, [v(1, d), v(1, s)])])),
as_polynomial(-3 * pippo -4*gennaro + 1, poly([m(1, 0, []), m(-4, 1, [v(1, gennaro)]), m(-3, 1, [v(1, pippo)])])).
as_polynomial(-3 * a ^ 4 +12 * a ^2 * a ^2, poly([m(9, 4, [v(4, a)])])).
test_polyval() :-
polyval(3, [], 3),
polyval(-x, [12], -12),
polyval(-2*x + y,[3, 2], -4),
% polyval(0 * x * pluto, [2, 1], PV4),
polyval(x * pippo, [0, 100000], 0),
polyval(x ^ 0, [], 1),
polyval(poly([m(1, 1, [v(1, a)]), m(4, 1, [v(1, x)])]), [1, 1], 5),
polyval(poly([m(3, 1, [v(1, x)]), m(1, 2, [v(2, a)])]), [-1, -2], -5).