/
tests.js
2461 lines (2140 loc) · 68.4 KB
/
tests.js
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// Let's open up plt.lib.Numbers to make it easy to test.
var N = plt.lib.Numbers;
for (val in N) {
if (N.hasOwnProperty(val)) {
this[val] = N[val];
}
}
var diffPercent = function(x, y) {
if (typeof(x) === 'number') {
x = fromFixnum(x);
}
if (typeof(y) === 'number') {
y = fromFixnum(y);
}
return Math.abs(toFixnum(divide(subtract(x, y), y)));
};
var assertTrue = function(aVal) {
value_of(aVal).should_be_true();
};
var assertFalse = function(aVal) {
value_of(aVal).should_be_false();
};
var assertEquals = function(expected, aVal) {
value_of(aVal).should_be(expected);
};
var assertFails = function(thunk) {
var isFailed = false;
try {
thunk();
} catch (e) {
isFailed = true;
}
value_of(isFailed).should_be_true();
};
describe('rational constructions', {
'constructions' : function() {
value_of(isSchemeNumber(makeRational(42)))
.should_be_true();
value_of(isSchemeNumber(makeRational(21, 2)))
.should_be_true();
value_of(isSchemeNumber(makeRational(2, 1)))
.should_be_true();
value_of(isSchemeNumber(makeRational(-17, -171)))
.should_be_true();
value_of(isSchemeNumber(makeRational(17, -171)))
.should_be_true();
},
'reductions' : function() {
value_of(equals(makeRational(1, 2),
makeRational(5, 10)))
.should_be_true();
value_of(equals(makeRational(1, 2),
makeRational(6, 10)));
value_of(equals(makeRational(1, 2),
makeRational(-1, -2)))
.should_be_true();
}
});
describe('built-in constants', {
'pi': function() {
value_of(isSchemeNumber(pi)).should_be_true(); },
'e': function() {
value_of(isSchemeNumber(e)).should_be_true(); },
'nan' : function() {
value_of(isSchemeNumber(nan)).should_be_true(); },
'negative_inf' : function() {
value_of(isSchemeNumber(negative_inf)).should_be_true(); },
'inf' : function() {
value_of(isSchemeNumber(inf)).should_be_true(); },
'negative_one' : function() {
value_of(isSchemeNumber(negative_one)).should_be_true(); },
'zero' : function() {
value_of(isSchemeNumber(zero)).should_be_true(); },
'one' : function() {
value_of(isSchemeNumber(one)).should_be_true(); },
'i' : function() {
value_of(isSchemeNumber(i)).should_be_true(); },
'negative_i' : function() {
value_of(isSchemeNumber(negative_i)).should_be_true(); }
});
describe('fromString', {
'fixnums': function() {
assertEquals(43, fromString("43"));
assertEquals(43, fromString("+43"));
assertEquals(-43, fromString("-43"));
},
'bignums': function() {
assertEquals(makeBignum("123456789012345678901234567890"),
fromString("123456789012345678901234567890"));
assertEquals(makeBignum("123456789012345678901234567890"),
fromString("+123456789012345678901234567890"));
assertEquals(makeBignum("-123456789012345678901234567890"),
fromString("-123456789012345678901234567890"));
},
'rationals': function() {
assertEquals(makeRational(1, 2),
fromString("1/2"));
assertEquals(makeRational(23,34),
fromString("+23/34"));
assertEquals(makeRational(-1, 2),
fromString("-1/2"));
assertEquals(makeRational(1234, 5678910),
fromString("1234/5678910"));
assertEquals(makeRational(makeBignum("99999999999999999999"),
5678910),
fromString("99999999999999999999/5678910"));
assertEquals(makeRational(makeBignum("-13284973298"),
makeBignum("239875239")),
fromString("-13284973298/239875239"));
},
'floats': function() {
assertEquals(makeFloat(42.1), fromString("42.1"));
assertEquals(makeFloat(0.1), fromString(".1"));
assertEquals(makeFloat(0.23), fromString("0.23"));
assertEquals(makeFloat(0.1), fromString("+.1"));
assertEquals(makeFloat(-0.1), fromString("-.1"));
assertEquals(makeFloat(-0.123423), fromString("-.123423"));
assertEquals(makeFloat(123.45), fromString("123.45"));
assertEquals(makeFloat(4123.423), fromString("4.123423e3"));
},
'complex': function() {
assertEquals(makeComplex(0, 1), fromString("0+i"));
assertEquals(makeComplex(0, 1), fromString("0+1i"));
assertEquals(makeComplex(0, makeRational(23, 45)), fromString("0+23/45i"));
assertEquals(makeComplex(0, makeFloat(2.5)), fromString("0+2.5i"));
assertEquals(makeComplex(0, -1), fromString("0-i"));
assertEquals(makeComplex(0, -1), fromString("0-1i"));
assertEquals(makeComplex(0, makeRational(-29, 42)), fromString("0-29/42i"));
assertEquals(makeComplex(0, makeFloat(-3.7)), fromString("0-3.7i"));
assertEquals(makeComplex(1, makeRational(-29, 42)), fromString("1-29/42i"));
assertEquals(makeComplex(makeFloat(100.5),
makeRational(-29, 42)), fromString("100.5-29/42i"));
assertEquals(makeComplex(0, makeFloat(-3.7)), fromString("0-3.7i"));
assertEquals(makeComplex(inf, makeFloat(-3.7)), fromString("+inf.0-3.7i"));
assertEquals(makeComplex(nan, makeFloat(-3.7)), fromString("+nan.0-3.7i"));
assertEquals(makeComplex(negative_inf, makeFloat(-3.7)),
fromString("-inf.0-3.7i"));
assertEquals(makeComplex(negative_inf, negative_inf),
fromString("-inf.0-inf.0i"));
assertEquals(makeComplex(nan, nan),
fromString("+nan.0+nan.0i"));
assertEquals(makeComplex(-42, -43),
fromString("-42-43i"));
},
'special constants' : function() {
assertEquals(nan, fromString("+nan.0"));
assertEquals(nan, fromString("-nan.0"));
assertEquals(inf, fromString("+inf.0"));
assertEquals(negative_inf, fromString("-inf.0"));
assertTrue(fromString("-0.0") === negative_zero);
},
'malformed': function() {
assertFalse(fromString(""));
assertFalse(fromString(" "));
assertFalse(fromString("sdkfjls"));
assertFalse(fromString("1+1k"));
assertFalse(fromString("1.2.3"));
assertFalse(fromString("1.2/3"));
assertFalse(fromString("--1/3"));
assertFalse(fromString("-1/-3"));
}});
describe('fromFixnum', {
'fixnums': function() {
value_of(equals(fromFixnum(42),
makeRational(42))).should_be_true();
value_of(equals(fromFixnum(43),
makeRational(43))).should_be_true();
value_of(equals(fromFixnum(42),
makeRational(43))).should_be_false();
},
'bignums': function() {
assertEquals(makeBignum("100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"),
fromFixnum(10e100));
assertEquals(makeBignum("1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"),
fromFixnum(10e200));
},
'floats': function() {
value_of(equals(fromFixnum(42.1),
makeFloat(42.1))).should_be_true();
}
});
describe('equals', {
'nan': function() {
value_of(equals(nan, nan)).should_be_false();
value_of(equals(nan, 3)).should_be_false();
value_of(equals(nan, makeFloat(239843))).should_be_false();
value_of(equals(nan, makeComplex(239843, 2))).should_be_false();
},
'-0.0': function() {
assertTrue(equals(negative_zero, makeFloat(0)));
assertTrue(equals(negative_zero, 0));
assertTrue(equals(negative_zero, negative_zero));
assertTrue(equals(negative_zero, makeRational(0)));
assertTrue(equals(negative_zero, makeRational(makeBignum("0"))));
assertFalse(equals(negative_zero, 1));
},
'fixnum / fixnum': function() {
value_of(equals(42, 42)).should_be_true();
value_of(equals(42, 43)).should_be_false();
},
'fixnum / bignum': function() {
assertTrue(equals(42, makeBignum("42")));
assertTrue(equals(-42, makeBignum("-42")));
assertTrue(equals(0, makeBignum("0")));
assertFalse(equals(1, makeBignum("0")));
},
'bignum / bignum' : function() {
assertTrue(equals(makeBignum("31415926"),
makeBignum("31415926")));
assertFalse(equals(makeBignum("31415926"),
makeBignum("271818296")));
},
'bignum / rational': function() {
assertTrue(equals(makeBignum("0"),
makeRational(0)));
assertTrue(equals(makeBignum("12345"),
makeRational(12345)));
assertTrue(equals(makeBignum("-12345"),
makeRational(-12345)));
assertFalse(equals(makeBignum("1"),
makeRational(0)));
},
'bignum / float' : function() {
assertTrue(equals(makeBignum("12345"),
makeFloat(12345.0)));
assertTrue(equals(makeBignum("-12345"),
makeFloat(-12345.0)));
assertTrue(equals(fromString("7e40"),
makeFloat(7e40)));
assertTrue(equals(fromString("-7e40"),
makeFloat(-7e40)));
},
'bignum / complex' : function() {
assertTrue(equals(makeBignum("1e2000"),
makeComplex(makeBignum("1e2000"),
0)));
assertFalse(equals(makeBignum("1.1e2000"),
makeComplex(makeBignum("1e2000"),
0)));
assertTrue(equals(makeBignum("0"),
makeComplex(0, 0)));
assertTrue(equals(makeBignum("91326"),
makeComplex(makeBignum("91326"))));
assertFalse(equals(makeBignum("00000"),
makeComplex(makeBignum("91326"))));
assertTrue(equals(makeBignum("90210"),
makeComplex(makeFloat(90210))));
assertTrue(equals(makeBignum("90210"),
makeComplex(makeFloat(90210), makeFloat(0))));
assertFalse(equals(makeBignum("90210"),
makeComplex(makeFloat(90210), makeFloat(0.1))));
},
'fixnum / rational': function() {
value_of(equals(0, zero)).should_be_true();
value_of(equals(42, makeRational(84, 2))).should_be_true();
value_of(equals(42, makeRational(84, 3))).should_be_false();
value_of(equals(28, makeRational(84, 3))).should_be_true();
},
'fixnum / float ' : function() {
value_of(equals(1024, makeFloat(1024))).should_be_true();
value_of(equals(1024, makeFloat(1024.0001))).should_be_false();
},
'fixnum / complex ': function() {
value_of(equals(31337, makeComplex(31337))).should_be_true();
value_of(equals(31337, makeComplex(31337, 1))).should_be_false();
},
'rational / rational ' : function() {
value_of(equals(makeRational(23849),
makeRational(23849))).should_be_true();
value_of(equals(makeRational(23849),
makeRational(23489))).should_be_false();
},
'rational / float': function() {
value_of(equals(makeRational(2),
makeFloat(2))).should_be_true();
value_of(equals(makeRational(2),
makeFloat(2.1))).should_be_false();
},
'rational / complex': function() {
value_of(equals(makeRational(2),
makeComplex(2, 0))).should_be_true();
value_of(equals(makeRational(2),
makeComplex(2, 1))).should_be_false();
value_of(equals(makeRational(2),
makeComplex(0, 0))).should_be_false();
},
'float / float': function() {
value_of(equals(pi, pi)).should_be_true();
value_of(equals(pi, e)).should_be_false();
},
'float / complex': function() {
value_of(equals(pi, makeComplex(pi, 0))).should_be_true();
value_of(equals(pi, makeComplex(e, 0))).should_be_false();
},
'complex / complex': function() {
value_of(equals(makeComplex(17, 2),
makeComplex(17, 2))).should_be_true();
value_of(equals(makeComplex(17, 2),
makeComplex(2, 17))).should_be_false();
value_of(equals(makeComplex(17, 2),
makeComplex(17, 17))).should_be_false();
value_of(equals(makeComplex(2, 17),
makeComplex(17, 17))).should_be_false();
value_of(equals(makeComplex(makeFloat(100), 0),
makeComplex(makeFloat(100), 0))).should_be_true();
value_of(equals(makeComplex(makeFloat(100), 0),
makeComplex(makeRational(100), 0))).should_be_true();
value_of(equals(makeComplex(makeFloat(100.1), 0),
makeComplex(makeRational(100), 0))).should_be_false();
value_of(equals(makeComplex(makeFloat(100), 0),
makeComplex(makeRational(100), 1))).should_be_false();
}
});
describe('eqv', {
'nan' : function() {
value_of(eqv(nan,
makeFloat(Number.NaN))).should_be_true();
},
'-0.0' : function() {
assertFalse(eqv(negative_zero, makeFloat(0)));
assertFalse(eqv(negative_zero, 0));
assertTrue(eqv(negative_zero, negative_zero));
assertFalse(eqv(negative_zero, makeRational(0)));
assertFalse(eqv(negative_zero, makeRational(makeBignum("0"))));
assertFalse(eqv(negative_zero, 1));
},
'inf' : function() {
value_of(eqv(inf, inf)).should_be_true();
value_of(eqv(negative_inf, negative_inf)).should_be_true();
assertFalse(eqv(inf, negative_inf));
assertFalse(eqv(inf,
makeBignum("1e3000")));
assertFalse(eqv(negative_inf,
makeBignum("-1e3000")));
},
'fixnum / fixnum': function() {
value_of(eqv(42, 42)).should_be_true();
value_of(eqv(42, 43)).should_be_false();
},
'fixnum / bignum': function() {
assertTrue(eqv(0, makeBignum("0")));
assertTrue(eqv(-1, makeBignum("-1")));
assertTrue(eqv(42, makeBignum("42")));
assertTrue(eqv(123456789, makeBignum("123456789")));
assertTrue(eqv(-123456789, makeBignum("-123456789")));
assertFalse(eqv(-123456788, makeBignum("-123456789")));
},
'bignum / bignum' : function() {
assertTrue(eqv(makeBignum("0"),
makeBignum("0")));
assertTrue(eqv(makeBignum("-1"),
makeBignum("-1")));
assertTrue(eqv(makeBignum("7.3241e324"),
makeBignum("7.3241e324")));
assertFalse(eqv(makeBignum("7.3240e324"),
makeBignum("7.3241e324")));
assertTrue(eqv(makeBignum("-13241e324"),
makeBignum("-13241e324")));
assertTrue(eqv(makeBignum("3"),
makeBignum("3")));
assertFalse(eqv(makeBignum("12345"),
makeBignum("12344")));
},
'bignum / rational': function() {
assertTrue(eqv(makeBignum("0"),
makeRational(0, 1)));
assertTrue(eqv(makeBignum("0"),
makeRational(makeBignum("0"), 1)));
assertTrue(eqv(makeBignum("24"),
makeRational(makeBignum("24"), 1)));
assertTrue(eqv(makeBignum("-1"),
makeRational(-1, 1)));
assertFalse(eqv(makeBignum("0"),
makeRational(-1, 1)));
assertTrue(eqv(makeBignum("3"),
makeRational(makeBignum("3"))));
assertTrue(eqv(makeBignum("27"),
makeRational(27)));
},
'bignum / float' : function() {
assertFalse(eqv(makeBignum("27"),
makeFloat(27.0)));
assertFalse(eqv(makeBignum("0"),
makeFloat(0)));
assertFalse(eqv(makeBignum("1e100"),
makeFloat(1e100)));
assertFalse(eqv(makeBignum("-1e100"),
makeFloat(-1e100)));
},
'bignum / complex' : function() {
assertTrue(eqv(makeBignum("71"),
makeComplex(71)));
assertTrue(eqv(makeBignum("71"),
makeComplex(makeBignum("71"))));
assertTrue(eqv(makeBignum("71"),
makeComplex(makeRational(71))));
assertFalse(eqv(makeBignum("71"),
makeComplex(makeFloat(71))));
assertFalse(eqv(makeBignum("71"),
makeComplex(70)));
assertFalse(eqv(makeBignum("66"),
makeComplex(makeBignum("42"))));
assertFalse(eqv(makeBignum("71"),
makeComplex(makeRational(71, 17))));
assertFalse(eqv(makeBignum("71"),
makeComplex(makeFloat(71), 2)));
assertTrue(eqv(makeBignum("5e23"),
makeComplex(makeBignum("5e23"),
0)));
assertTrue(eqv(makeBignum("5e23"),
makeComplex(makeRational(makeBignum("5e23")),
0)));
assertFalse(eqv(makeBignum("5e23"),
makeComplex(makeFloat(5e23), 0)));
assertFalse(eqv(makeBignum("5e23"),
makeComplex(makeBignum("5e23"),
1)));
},
'fixnum / rational': function() {
value_of(eqv(42, makeRational(84, 2))).should_be_true();
value_of(eqv(42, makeRational(84, 3))).should_be_false();
value_of(eqv(28, makeRational(84, 3))).should_be_true();
},
'fixnum / float ' : function() {
value_of(eqv(fromFixnum(1024), makeFloat(1024))).should_be_false();
value_of(eqv(fromFixnum(1024), makeFloat(1024.0001))).should_be_false();
},
'fixnum / complex' : function() {
value_of(eqv(10, makeComplex(10))).should_be_true();
value_of(eqv(10, makeComplex(0))).should_be_false();
},
'rational / rational': function() {
value_of(eqv(makeRational(2, 3),
makeRational(2, 3))).should_be_true();
value_of(eqv(makeRational(3, 2),
makeRational(2, 3))).should_be_false();
},
'rational / float': function() {
value_of(eqv(makeRational(2),
makeFloat(2))).should_be_false();
value_of(eqv(makeRational(2),
makeFloat(2.1))).should_be_false();
},
'rational / complex': function() {
value_of(eqv(makeRational(2),
makeComplex(2, 0))).should_be_true();
value_of(eqv(makeRational(2),
makeComplex(2, 1))).should_be_false();
value_of(eqv(makeRational(2),
makeComplex(0, 0))).should_be_false();
},
'float / float': function() {
value_of(eqv(pi, pi)).should_be_true();
value_of(eqv(e, e)).should_be_true();
value_of(eqv(pi, e)).should_be_false();
},
'float / complex': function() {
value_of(eqv(pi, makeComplex(pi))).should_be_true();
value_of(eqv(3, makeComplex(makeFloat(3)))).should_be_false();
value_of(eqv(pi, makeComplex(pi, 1))).should_be_false();
},
'complex / complex': function() {
value_of(eqv(makeComplex(17, 2),
makeComplex(17, 2))).should_be_true();
value_of(eqv(makeComplex(17, 2),
makeComplex(2, 17))).should_be_false();
value_of(eqv(makeComplex(17, 2),
makeComplex(17, 17))).should_be_false();
value_of(eqv(makeComplex(2, 17),
makeComplex(17, 17))).should_be_false();
value_of(eqv(makeComplex(makeFloat(100), 0),
makeComplex(makeFloat(100), 0))).should_be_true();
value_of(eqv(makeComplex(makeFloat(100), 0),
makeComplex(makeRational(100), 0))).should_be_false();
value_of(eqv(makeComplex(makeFloat(100.1), 0),
makeComplex(makeRational(100), 0))).should_be_false();
value_of(eqv(makeComplex(makeFloat(100), 0),
makeComplex(makeRational(100), 1))).should_be_false();
}
});
describe('isSchemeNumber', {
'strings': function() {
value_of(isSchemeNumber("42")).should_be_false();
value_of(isSchemeNumber(42)).should_be_true();
assertTrue(isSchemeNumber(makeBignum("298747328418794387941798324789421978")));
value_of(isSchemeNumber(makeRational(42, 42))).should_be_true();
value_of(isSchemeNumber(makeFloat(42.2))).should_be_true();
value_of(isSchemeNumber(makeComplex(17))).should_be_true();
value_of(isSchemeNumber(makeComplex(17, 1))).should_be_true();
value_of(isSchemeNumber(makeComplex(makeFloat(17), 1))).should_be_true();
value_of(isSchemeNumber(undefined)).should_be_false();
value_of(isSchemeNumber(null)).should_be_false();
value_of(isSchemeNumber(false)).should_be_false();
}
});
describe('isRational', {
'fixnums': function() {
assertTrue(isRational(0));
assertTrue(isRational(1));
assertTrue(isRational(238977428));
assertTrue(isRational(-2371));
},
'bignums': function() {
assertTrue(isRational(makeBignum("324987329848724791")));
assertTrue(isRational(makeBignum("0")));
assertTrue(isRational(makeBignum("-1239847210")));
},
'rationals': function() {
assertTrue(isRational(makeRational(0, 1)));
assertTrue(isRational(makeRational(1, 100)));
assertTrue(isRational(makeRational(9999, 10000)));
assertTrue(isRational(makeRational(1, 4232)));
},
'floats': function() {
assertTrue(isRational(makeFloat(1.0)));
assertTrue(isRational(makeFloat(25.0)));
assertTrue(isRational(e));
assertTrue(isRational(pi));
assertFalse(isRational(inf));
assertFalse(isRational(negative_inf));
assertFalse(isRational(nan));
},
'complex': function() {
assertTrue(isRational(makeComplex(0, 0)));
assertTrue(isRational(makeComplex(e, 0)));
assertTrue(isRational(makeComplex(pi, 0)));
assertFalse(isRational(makeComplex(nan, 0)));
assertFalse(isRational(makeComplex(0, 1)));
assertFalse(isRational(makeComplex(0, negative_inf)));
},
'others': function() {
assertFalse(isRational("0"));
assertFalse(isRational("hello"));
assertFalse(isRational({}));
assertFalse(isRational([]));
assertFalse(isRational(false));
},
});
describe('isReal', {
'fixnums': function() {
assertTrue(isReal(237489));
assertTrue(isReal(0));
assertTrue(isReal(-12345));
},
'bignums': function() {
assertTrue(isReal(makeBignum("0")));
assertTrue(isReal(makeBignum("1")));
assertTrue(isReal(makeBignum("-1")));
assertTrue(isReal(makeBignum("23497842398287924789232439723")));
assertTrue(isReal(makeBignum("1e1000")));
assertTrue(isReal(makeBignum("-1e1000")));
assertTrue(isReal(makeBignum("1e23784")));
assertTrue(isReal(makeBignum("-7.241e23784")));
},
'rationals': function() {
assertTrue(isReal(makeRational(0, 1)));
assertTrue(isReal(makeRational(0, 12342)));
assertTrue(isReal(makeRational(-2324, 12342)));
assertTrue(isReal(makeRational(1, 2)));
},
'floats': function() {
assertTrue(isReal(makeFloat(1.0)));
assertTrue(isReal(makeFloat(25.0)));
assertTrue(isReal(e));
assertTrue(isReal(pi));
assertTrue(isReal(inf));
assertTrue(isReal(negative_inf));
assertTrue(isReal(nan));
},
'complex': function() {
assertTrue(isReal(makeComplex(0, 0)));
assertTrue(isReal(makeComplex(e, 0)));
assertTrue(isReal(makeComplex(pi, 0)));
assertTrue(isReal(makeComplex(nan, 0)));
assertTrue(isReal(makeComplex(inf, 0)));
assertTrue(isReal(makeComplex(negative_inf, 0)));
assertFalse(isReal(makeComplex(0, 1)));
assertFalse(isReal(makeComplex(0, negative_inf)));
assertFalse(isReal(makeComplex(pi, inf)));
assertFalse(isReal(makeComplex(234, nan)));
},
'others': function() {
assertFalse(isReal("0"));
assertFalse(isReal("hello"));
assertFalse(isReal([]));
assertFalse(isReal({}));
assertFalse(isReal(false));
}
});
describe('isExact', {
'fixnums': function() {
assertTrue(isExact(19));
assertTrue(isExact(0));
assertTrue(isExact(-1));
assertTrue(isExact(1));
},
'bignums': function() {
assertTrue(isExact(makeBignum("0")));
assertTrue(isExact(makeBignum("1")));
assertTrue(isExact(makeBignum("-1")));
assertTrue(isExact(makeBignum("23497842398287924789232439723")));
assertTrue(isExact(makeBignum("1e1000")));
assertTrue(isExact(makeBignum("-1e1000")));
assertTrue(isExact(makeBignum("12342357892297851728921374891327893")));
assertTrue(isExact(makeBignum("4.1321e200")));
assertTrue(isExact(makeBignum("-4.1321e200")));
},
'rationals': function() {
assertTrue(isExact(makeRational(19)));
assertTrue(isExact(makeRational(0)));
assertTrue(isExact(makeRational(-1)));
assertTrue(isExact(makeRational(1)));
assertTrue(isExact(makeRational(1, 2)));
assertTrue(isExact(makeRational(1, 29291)));
},
'floats': function() {
assertFalse(isExact(e));
assertFalse(isExact(pi));
assertFalse(isExact(inf));
assertFalse(isExact(negative_inf));
assertFalse(isExact(nan));
assertFalse(isExact(makeFloat(0)));
assertFalse(isExact(makeFloat(1111.1)));
},
'complex': function() {
assertTrue(isExact(makeComplex(0, 0)));
assertTrue(isExact(makeComplex(makeRational(1,2),
makeRational(1, 17))));
assertFalse(isExact(makeComplex(e,
makeRational(1, 17))));
assertFalse(isExact(makeComplex(makeRational(1,2),
pi)));
assertFalse(isExact(makeComplex(makeRational(1,2),
nan)));
assertFalse(isExact(makeComplex(negative_inf,
nan)));
}
});
describe('isInteger', {
'fixnums': function() {
assertTrue(isInteger(1));
assertTrue(isInteger(-1));
},
'bignums': function() {
assertTrue(isInteger(makeBignum("2983473189472187414789132743928148151617364")));
assertTrue(isInteger(makeBignum("-99999999999999999999999999999999999999")));
},
'rationals': function() {
assertTrue(isInteger(makeRational(1, 1)));
assertFalse(isInteger(makeRational(1, 2)));
assertFalse(isInteger(makeRational(9999, 10000)));
assertFalse(isInteger(makeRational(9999, 1000)));
},
'floats': function() {
assertFalse(isInteger(makeFloat(2.3)));
assertTrue(isInteger(makeFloat(4.0)));
assertFalse(isInteger(inf));
assertFalse(isInteger(negative_inf));
assertFalse(isInteger(nan));
},
'complex': function() {
assertTrue(isInteger(makeComplex(42, 0)));
assertFalse(isInteger(makeComplex(42, 42)));
assertFalse(isInteger(i));
assertFalse(isInteger(negative_i));
},
'others': function() {
assertFalse(isInteger("hello"));
assertFalse(isInteger("0"));
}
});
describe('toFixnum', {
'fixnums': function() {
assertEquals(42, toFixnum(42));
assertEquals(-20, toFixnum(-20));
assertEquals(0, toFixnum(0));
},
'bignums': function() {
assertEquals(123456789, toFixnum(makeBignum("123456789")));
assertEquals(0, toFixnum(makeBignum("0")));
assertEquals(-123, toFixnum(makeBignum("-123")));
assertEquals(123456, toFixnum(makeBignum("123456")));
// We're dealing with big numbers, where the numerical error
// makes it difficult to compare for equality. We just go for
// percentage and see that it is ok.
assertTrue(diffPercent(1e200, toFixnum(makeBignum("1e200")))
< 1e-10);
assertTrue(diffPercent(-1e200, toFixnum(makeBignum("-1e200")))
< 1e-10);
},
'rationals': function() {
assertEquals(0, toFixnum(zero));
assertEquals(17/2, toFixnum(makeRational(17, 2)));
assertEquals(1926/3, toFixnum(makeRational(1926, 3)));
assertEquals(-11150/17, toFixnum(makeRational(-11150, 17)));
},
'floats': function() {
assertEquals(12345.6789, toFixnum(makeFloat(12345.6789)));
assertEquals(Math.PI, toFixnum(pi));
assertEquals(Math.E, toFixnum(e));
assertEquals(Number.POSITIVE_INFINITY, toFixnum(inf));
assertEquals(Number.NEGATIVE_INFINITY, toFixnum(negative_inf));
assertTrue(isNaN(toFixnum(nan)));
},
'complex': function() {
assertFails(function() { toFixnum(makeComplex(2, 1)); });
assertFails(function() { toFixnum(i); });
assertFails(function() { toFixnum(negative_i); });
assertEquals(2, toFixnum(makeComplex(2, 0)));
assertEquals(1/2, toFixnum(makeComplex(makeRational(1, 2),
0)));
assertEquals(Number.POSITIVE_INFINITY,
toFixnum(makeComplex(inf, 0)));
assertEquals(Number.NEGATIVE_INFINITY,
toFixnum(makeComplex(negative_inf, 0)));
assertTrue(isNaN(toFixnum(makeComplex(nan, 0))));
}
});
describe('toExact', {
'fixnums': function() {
assertEquals(1792, toExact(1792));
assertEquals(0, toExact(0));
assertEquals(-1, toExact(-1));
},
'bignums': function() {
assertEquals(makeBignum("4.2e100"),
toExact(makeBignum("4.2e100")));
assertEquals(makeBignum("0"),
toExact(makeBignum("0")));
assertEquals(makeBignum("1"),
toExact(makeBignum("1")));
assertEquals(makeBignum("-1"),
toExact(makeBignum("-1")));
assertEquals(makeBignum("-12345"),
toExact(makeBignum("-12345")));
assertEquals(makeBignum("-1.723e500"),
toExact(makeBignum("-1.723e500")));
},
'rationals': function() {
assertEquals(makeRational(1, 2), toExact(makeRational(1, 2)));
assertEquals(makeRational(1, 9999), toExact(makeRational(1, 9999)));
assertEquals(makeRational(0, 1), toExact(makeRational(0, 9999)));
assertEquals(makeRational(-290, 1), toExact(makeRational(-290, 1)));
},
'floats': function() {
assertEquals(makeRational(1, 2), toExact(makeFloat(0.5)));
assertEquals(makeRational(1, 10), toExact(makeFloat(0.1)));
assertEquals(makeRational(9, 10), toExact(makeFloat(0.9)));
assertTrue(isExact(toExact(makeFloat(10234.7))));
assertTrue(diffPercent(makeRational(102347, 10),
toExact(makeFloat(10234.7))) < 1);
assertEquals(-1, toExact(makeFloat(-1)));
assertEquals(0, toExact(makeFloat(0)));
assertEquals(1024, toExact(makeFloat(1024)));
assertFails(function() { toExact(nan); });
assertFails(function() { toExact(inf); });
assertFails(function() { toExact(negative_inf); });
},
'complex': function() {
assertEquals(0, toExact(makeComplex(0, 0)));
assertEquals(99, toExact(makeComplex(99, 0)));
assertEquals(makeRational(-1, 2),
toExact(makeComplex(makeRational(-1, 2), 0)));
assertEquals(makeRational(1, 4),
toExact(makeComplex(.25, 0)));
assertFails(function() { toExact(makeComplex(nan, 0)); });
assertFails(function() { toExact(makeComplex(inf, 0)); });
assertFails(function() { toExact(makeComplex(negative_inf, 0)); });
assertFails(function() { toExact(makeComplex(0, 1)); });
assertFails(function() { toExact(makeComplex(0, pi)); });
assertFails(function() { toExact(makeComplex(0, e)); });
assertFails(function() { toExact(makeComplex(0, nan)); });
}
});
describe('add', {
'fixnum / fixnum' : function() {
assertEquals(0, add(0, 0));
assertEquals(1025, add(1024, 1));
assertEquals(-84, add(-42, -42));
assertEquals(982, add(1024, -42));
},
'finum overflows to bignum' : function() {
var aNumber = 0;
for (var i = 0 ; i < 1000; i++) {
aNumber = add(aNumber, fromFixnum(1e20));
}
assertTrue(eqv(makeBignum("1e23"), aNumber));
},
'fixnum / bignum': function() {
assertTrue(eqv(2, add(1, makeBignum("1"))));
assertTrue(eqv(makeBignum("1234298352389543294732947983"),
add(1, makeBignum("1234298352389543294732947982"))));
assertFalse(eqv(makeBignum("1234298352389543294732947982"),
add(1, makeBignum("1234298352389543294732947982"))));
assertTrue(eqv(makeBignum("1234298352389543294732947982"),
add(0, makeBignum("1234298352389543294732947982"))));
assertTrue(eqv(makeBignum("1234298352389543294732947981"),
add(-1, makeBignum("1234298352389543294732947982"))));
assertTrue(eqv(makeBignum("999999999999999999999999999999"),
add(-1, makeBignum("1000000000000000000000000000000"))));
},
'bignum / bignum' : function() {
assertTrue(eqv(makeBignum("1999999999999999999999999999999"),
add(makeBignum("999999999999999999999999999999"),
makeBignum("1000000000000000000000000000000"))));
assertTrue(eqv(1,
add(makeBignum("-999999999999999999999999999999"),
makeBignum("1000000000000000000000000000000"))));
assertTrue(eqv(makeBignum("-1999999999999999999999999999999"),
add(makeBignum("-999999999999999999999999999999"),
makeBignum("-1000000000000000000000000000000"))));
assertTrue(eqv(makeBignum("-1"),
add(makeBignum("999999999999999999999999999999"),
makeBignum("-1000000000000000000000000000000"))));
assertFalse(eqv(makeBignum("-20000000000000000000000000000"),
add(makeBignum("-999999999999999999999999999999"),
makeBignum("-1000000000000000000000000000000"))));
},
'bignum / rational': function() {
assertFalse(eqv(makeBignum("1234"),
add(makeBignum("1234"),
makeRational(2))));
assertTrue(eqv(makeBignum("1236"),
add(makeBignum("1234"),
makeRational(2))));
assertTrue(eqv(makeBignum("1e500"),
add(makeBignum("1e500"),
makeRational(0))));
assertTrue(eqv(makeRational(add(makeBignum("1e500"), 1),
makeBignum("1e500")),
add(1, makeRational(1, makeBignum("1e500")))));
assertTrue(eqv(fromString("461489806479620935470974478730/23987523567"),
add(makeBignum("19238743223768948327"),
fromString("1732914256756321/23987523567"))));
assertTrue(eqv(fromString("-77100525133482588244247/239875239"),
add(fromString("-321419273847891"),
fromString("-13284973298/239875239"))));
},
'bignum / float' : function() {
assertTrue(diffPercent(add(makeBignum("42"),
makeFloat(17.5)),
makeFloat(59.5))
< 2e-10);
assertTrue(diffPercent(add(makeBignum("-42"),
makeFloat(17.5)),
makeFloat(-24.5))
< 2e-10);
assertTrue(eqv(nan,
add(makeBignum("0"), nan)));
assertTrue(eqv(nan,
add(makeBignum("10e500"), nan)));
assertTrue(eqv(nan,
add(makeBignum("-10e500"), nan)));
assertTrue(eqv(inf,
add(makeBignum("0"), inf)));
assertTrue(eqv(negative_inf,
add(makeBignum("0"), negative_inf)));