/* Part of SWI-Prolog Author: Rick Workman and Jan Wielemaker WWW: http://www.swi-prolog.org Copyright (c) 2020, University of Amsterdam VU University Amsterdam CWI, Amsterdam All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. 2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ :- module(test_rational, [test_rational/0]). :- use_module(library(plunit)). :- use_module(library(debug)). /** Test Prolog core arithmetic functions @author Jan Wielemaker and Rick Workman */ test_rational :- run_tests([ rational, rationalize ]). set_prefer_rationals(Old, New) :- current_prolog_flag(prefer_rationals, Old), set_prolog_flag(prefer_rationals, New). set_float_undefined(Old, New) :- current_prolog_flag(float_undefined, Old), set_prolog_flag(float_undefined, New). :- begin_tests(rational, [ condition(current_prolog_flag(bounded, false)), setup(set_float_flags(Old, [ flag(prefer_rationals,true), flag(float_undefined,nan) ])), cleanup(set_float_flags(_, Old)) ]). :- set_prolog_flag(rational_syntax, compatibility). test(filters) :- X = 1r3, assertion(rational(X)), assertion(number(X)), assertion(atomic(X)), assertion(nonvar(X)), assertion(ground(X)), assertion(\+(integer(X))), assertion(\+(float(X))), assertion(\+(atom(X))), assertion(\+(compound(X))), assertion(\+(blob(X, _))), assertion(\+(string(X))), assertion(\+(var(X))). test(construct) :- X = 1r3, assertion(functor(X,X,0)), assertion(X=..[X]). test(compare) :- X = 1r3, assertion((X < 1, X > 0)), assertion((X @< 1, X @> 0)), assertion(sort([1,0,X],[0,X,1])). test(keep_precision) :- assertion(3r2 is 1r2 + 1), assertion(5r6 is 1r2 + 1r3), assertion(-1r2 is 1r2 - 1), assertion(1r6 is 1r2 - 1r3), assertion(3r2 is 1r2 * 3), assertion(1r6 is 1r2 * 1r3), assertion(1r6 is 1r2 / 3), assertion(3r2 is 1r2 / 1r3), assertion(1r9 is 1r3 ** 2). test(conversion) :- assertion(2 = 4r2), assertion(1 is floor(3r2)), assertion(2 is ceiling(3r2)), assertion(2 is round(5r3)), assertion(1 is truncate(3r2)), assertion(-1 is truncate(-3r2)), assertion(2 is integer(5r3)), assertion((R1 is float(5r3), R2 is (5)/(3), check_error(R1,R2))), assertion(rationalize((1)/(2)) =:= 1r2). test(int_to_rat) :- assertion(div0err(0** -1)), % additional test for negative integer exp. assertion(div0err(0** -1r2)), assertion(8 is 4**3r2), assertion(1.5NaN is -4**3r2), % neg. base, even Q assertion(2 is 8**1r3), assertion(-2 is -8**1r3), assertion(4 is 8**2r3), assertion(4 is -8**2r3), assertion(1r2 is 8** -1r3), assertion(-1r2 is -8** -1r3), assertion(2.0**1r2 =:= sqrt(2.0)). test(rat_to_rat) :- assertion(1r8 is 1r4**3r2), assertion(1.5NaN is -1r4**3r2), % neg. base, even Q assertion(1r2 is 1r8**1r3), assertion(-1r2 is -1r8**1r3), assertion(1r4 is 1r8**2r3), assertion(1r4 is -1r8**2r3), assertion(2 is 1r8** -1r3), assertion(-2 is -1r8** -1r3). test(pow_special) :- assertion(1 is 1r4**0), assertion(1 is 1**1r2), assertion(0 is 0**1r2), assertion(1 is -1**2), assertion(-1 is -1**3), assertion(div0err(0.0** -1r2)). test(other_arith) :- assertion(div0err(1r2/0)), assertion(1r3 is abs(1r3)), assertion(1r3 is abs(-1r3)), assertion(1 is sign(1r3)), assertion(-1 is sign(-1r3)), assertion(1r3 is copysign(1r3,1r2)), assertion(-1r3 is copysign(1r3,-1r2)). % Others?: % nth_integer_root_and_remainder/4 integers only % mod, rem, //, div, gcd, random, powm functions on integers % sqrt, transcendentals, etc. assumed to always produce a float. test(strings) :- assertion(number_string(1r3,"1r3")), assertion(number_string(-1r3,"-1r3")), assertion(term_string(1r3,"1r3")), assertion(term_string(1,"3r3")), assertion(term_string(1234567890123456789012345678901234567890r3, "1234567890_1234567890_1234567890_1234567890r3")), assertion(term_string(1r1234567890123456789012345678901234567890, "1r1234567890_1234567890_1234567890_1234567890")), assertion(term_string(1, "1234567890_1234567890_1234567890_\c 1234567890r1234567890_1234567890_\c 1234567890_1234567890")). test(io) :- assertion(read_term_from_atom('1r3',1r3,[])), assertion(read_term_from_atom('-1r3',-1r3,[])), assertion(with_output_to(string("1r3"),write(1r3))), assertion(with_output_to(string("-1r3"),write(-1r3))). test(syntax_fail) :- assertion(bad_syntax("1rr2")), assertion(bad_syntax("1_r2")), assertion(bad_syntax("1r_2")), assertion(bad_syntax("1r_-2")), assertion(bad_syntax("1.0r2")). % assertion(bad_syntax("1r2.0")). % dict syntax :- end_tests(rational). :- begin_tests(rationalize, [ condition(current_prolog_flag(bounded,false)) ]). test(trip) :- R is rationalize(5.1), assertion(rational(R, 51, 10)). test(roundtrip_rational) :- forall(between(1,1000,_), ( rfloat(F), F =:= rational(F))). test(roundtrip_rationalize) :- forall(between(1,1000,_), ( rfloat(F), F =:= rationalize(F))). :- end_tests(rationalize). bad_syntax(String) :- catch(term_string(R,String), error(syntax_error(_T), _C), true), var(R). % test that exception happened check_error(N1,N2) :- abs(N1-N2) < 1e-12. rfloat(X) :- random_between(-308,308,E), X is random_float * 10**E. div0err(Exp) :- catch(_X is Exp,Err,true), nonvar(Err), Err = error(evaluation_error(zero_divisor), _). get_set_flag(Flag,Old,New) :- current_prolog_flag(Flag,Old), set_prolog_flag(Flag,New). set_float_flags([], []). set_float_flags([flag(Name,Old)|Olds], [flag(Name,New)|News]) :- get_set_flag(Name,Old,New), set_float_flags(Olds,News).