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Issue 541523002: pkg/math: remove placeholder (Closed) Base URL: https://dart.googlecode.com/svn/branches/bleeding_edge/dart
Patch Set: Created 6 years, 3 months ago
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1 // Copyright (c) 2014, the Dart project authors. Please see the AUTHORS file
2 // for details. All rights reserved. Use of this source code is governed by a
3 // BSD-style license that can be found in the LICENSE file.
4
5 library math_test;
6 import "package:expect/expect.dart";
7 import 'dart:math';
8 import 'package:math/math.dart';
9
10 // See gcd_test.dart first. This file contains only the tests that need Bigint
11 // or would fail in dart2js compatibility mode.
12
13 class BigintTest {
14 // 8 random primes less within [2^60, 2^64]
15 final int p1 = 6714601027348841563;
16 final int p2 = 13464639003769154407;
17 final int p3 = 9519493673324441563;
18 final int p4 = 7064784879742017229;
19 final int p5 = 18364232533526122157;
20 final int p6 = 2099437422495963203;
21 final int p7 = 10166792634765954647;
22 final int p8 = 2745073355742392083;
23
24 void testGcdWithBigints() {
25 Expect.equals(pow(2, 63)*3, gcd(pow(2, 64)*3*5, pow(2, 63)*3*7));
26 // 595056260442243647 is the first prime after 2**64 / 31.
27 Expect.equals(595056260442243647,
28 gcd(31*595056260442243647, 37*595056260442243647));
29 Expect.equals(p2, gcd(p1*p2, p2*p3));
30 Expect.equals(1, gcd(p1*p2, p3*p4));
31
32 // Negatives
33 Expect.equals(pow(2, 63)*3, gcd(-pow(2, 64)*3*5, pow(2, 63)*3*7));
34 Expect.equals(pow(2, 63)*3, gcd(pow(2, 64)*3*5, -pow(2, 63)*3*7));
35 Expect.equals(pow(2, 63)*3, gcd(-pow(2, 64)*3*5, -pow(2, 63)*3*7));
36 Expect.equals(1, gcd(-p1, p2));
37 Expect.equals(1, gcd(p1, -p2));
38 Expect.equals(1, gcd(-p1, -p2));
39 }
40
41 void testGcdextWithBigints() {
42 Expect.listEquals([pow(2, 63)*3, -2, 3],
43 gcdext(pow(2, 64)*3*5, pow(2, 63)*3*7));
44 // 595056260442243647 is the first prime after 2**64 / 31.
45 Expect.listEquals([595056260442243647, 6, -5],
46 gcdext(31*595056260442243647, 37*595056260442243647));
47 Expect.listEquals([1, 970881267037344823, -970881267037344822],
48 gcdext(73786976294838206473, 73786976294838206549));
49 Expect.listEquals([1, 796993873408264695, -397448151389712212],
50 gcdext(p1, p2));
51 Expect.listEquals([1, -397448151389712212, 796993873408264695],
52 gcdext(p2, p1));
53
54 // Negatives
55 Expect.listEquals([1, -796993873408264695, -397448151389712212],
56 gcdext(-p1, p2));
57 Expect.listEquals([1, 796993873408264695, 397448151389712212],
58 gcdext(p1, -p2));
59 Expect.listEquals([1, -796993873408264695, 397448151389712212],
60 gcdext(-p1, -p2));
61 }
62
63 void testInvertWithBigints() {
64 // 9223372036854775837 is the first prime after 2^63.
65 Expect.equals(2093705452366034115, invert(1000, 9223372036854775837));
66 Expect.equals(970547769322117497, invert(1000000, 9223372036854775837));
67
68 Expect.equals(796993873408264695, invert(p1, p2));
69 Expect.equals(2302612976619580647501352961102487476, invert(p3*p4, p5*p6));
70
71 Expect.throws(() => invert(p1 * p2, p2 * p3),
72 (e) => e is IntegerDivisionByZeroException);
73
74 // Negatives
75 Expect.equals(12667645130360889712, invert(-p1, p2));
76 Expect.equals(796993873408264695, invert(p1, -p2));
77 Expect.equals(12667645130360889712, invert(-p1, -p2));
78 }
79
80 void testLcmWithBigints() {
81 Expect.equals(pow(2, 64)*3*5*7, lcm(pow(2, 64)*3*5, pow(2,63)*3*7));
82 // 595056260442243647 is the first prime after 2**64 / 31.
83 Expect.equals(31*37*595056260442243647,
84 lcm(31*595056260442243647, 37*595056260442243647));
85
86 Expect.equals(p1 * p2, lcm(p1, p2));
87 Expect.equals(p1 * p2 * p3, lcm(p1 * p2, p2 * p3));
88 Expect.equals(p4 * p5, lcm(p4 * p5, p4));
89
90 // Negative
91 Expect.equals(p1 * p2, lcm(-p1, p2));
92 Expect.equals(p1 * p2, lcm(p1, -p2));
93 Expect.equals(p1 * p2, lcm(-p1, -p2));
94 }
95
96 void testPowmodWithBigints() {
97 // A modulus value greater than 94906265 can result in an intermediate step
98 // evaluating to a bigint (base * base).
99 // 9079837958533 is the first prime after 2**48 / 31.
100 Expect.equals(1073741824, powmod(pow(2, 30), 1, 9079837958533));
101 Expect.equals(9079822119301, powmod(pow(2, 30), 2, 9079837958533));
102 Expect.equals(8370475851674, powmod(pow(2, 30), 3, 9079837958533));
103 Expect.equals(5725645469433, powmod(pow(2, 30), 4, 9079837958533));
104
105 // bigint base
106 Expect.equals(10435682577172878912, powmod(p1, 31, p2));
107 Expect.equals(2171334335785523204, powmod(p1 * p2, 5, p3));
108 Expect.equals(2075559997960884603, powmod(p1 * 120, 8, p2));
109
110 // bigint exponent
111 Expect.equals(236325130834703514, powmod(pow(2, 64), p1, p4));
112 Expect.equals(1733635560285390571, powmod(1000000, p5, p6));
113
114 // bigint modulus
115 Expect.equals(4740839599282053976, powmod(p7, p8, p1));
116 Expect.equals(13037487407831899228197227177643459429,
117 powmod(p2, p3, p4 * p5));
118
119 // Negative
120 Expect.equals(3028956426596275495, powmod(-p1, 31, p2));
121 Expect.equals(5719988737977477486, powmod(p1, -31, p2));
122 Expect.equals(10435682577172878912, powmod(p1, 31, -p2));
123 Expect.equals(7744650265791676921, powmod(-p1, -31, p2));
124 Expect.equals(3028956426596275495, powmod(-p1, 31, -p2));
125 Expect.equals(5719988737977477486, powmod(p1, -31, -p2));
126 Expect.equals(7744650265791676921, powmod(-p1, -31, -p2));
127 }
128
129 testMain() {
130 // Source for expected values is Wolfram Alpha (presumably just GMP).
131 testGcdWithBigints();
132 testGcdextWithBigints();
133 testInvertWithBigints();
134 testLcmWithBigints();
135 testPowmodWithBigints();
136 }
137 }
138
139 main() {
140 new BigintTest().testMain();
141 }
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