1 use core::num::bignum::tests::Big8x3 as Big;
2 use core::num::bignum::Big32x40;
6 fn test_from_u64_overflow() {
7 Big::from_u64(0x1000000);
12 assert_eq!(*Big::from_small(3).add(&Big::from_small(4)), Big::from_small(7));
13 assert_eq!(*Big::from_small(3).add(&Big::from_small(0)), Big::from_small(3));
14 assert_eq!(*Big::from_small(0).add(&Big::from_small(3)), Big::from_small(3));
15 assert_eq!(*Big::from_small(3).add(&Big::from_u64(0xfffe)), Big::from_u64(0x10001));
16 assert_eq!(*Big::from_u64(0xfedc).add(&Big::from_u64(0x789)), Big::from_u64(0x10665));
17 assert_eq!(*Big::from_u64(0x789).add(&Big::from_u64(0xfedc)), Big::from_u64(0x10665));
22 fn test_add_overflow_1() {
23 Big::from_small(1).add(&Big::from_u64(0xffffff));
28 fn test_add_overflow_2() {
29 Big::from_u64(0xffffff).add(&Big::from_small(1));
34 assert_eq!(*Big::from_small(3).add_small(4), Big::from_small(7));
35 assert_eq!(*Big::from_small(3).add_small(0), Big::from_small(3));
36 assert_eq!(*Big::from_small(0).add_small(3), Big::from_small(3));
37 assert_eq!(*Big::from_small(7).add_small(250), Big::from_u64(257));
38 assert_eq!(*Big::from_u64(0x7fff).add_small(1), Big::from_u64(0x8000));
39 assert_eq!(*Big::from_u64(0x2ffe).add_small(0x35), Big::from_u64(0x3033));
40 assert_eq!(*Big::from_small(0xdc).add_small(0x89), Big::from_u64(0x165));
45 fn test_add_small_overflow() {
46 Big::from_u64(0xffffff).add_small(1);
51 assert_eq!(*Big::from_small(7).sub(&Big::from_small(4)), Big::from_small(3));
52 assert_eq!(*Big::from_u64(0x10665).sub(&Big::from_u64(0x789)), Big::from_u64(0xfedc));
53 assert_eq!(*Big::from_u64(0x10665).sub(&Big::from_u64(0xfedc)), Big::from_u64(0x789));
54 assert_eq!(*Big::from_u64(0x10665).sub(&Big::from_u64(0x10664)), Big::from_small(1));
55 assert_eq!(*Big::from_u64(0x10665).sub(&Big::from_u64(0x10665)), Big::from_small(0));
60 fn test_sub_underflow_1() {
61 Big::from_u64(0x10665).sub(&Big::from_u64(0x10666));
66 fn test_sub_underflow_2() {
67 Big::from_small(0).sub(&Big::from_u64(0x123456));
72 assert_eq!(*Big::from_small(7).mul_small(5), Big::from_small(35));
73 assert_eq!(*Big::from_small(0xff).mul_small(0xff), Big::from_u64(0xfe01));
74 assert_eq!(*Big::from_u64(0xffffff / 13).mul_small(13), Big::from_u64(0xffffff));
79 fn test_mul_small_overflow() {
80 Big::from_u64(0x800000).mul_small(2);
85 assert_eq!(*Big::from_small(0x7).mul_pow2(4), Big::from_small(0x70));
86 assert_eq!(*Big::from_small(0xff).mul_pow2(1), Big::from_u64(0x1fe));
87 assert_eq!(*Big::from_small(0xff).mul_pow2(12), Big::from_u64(0xff000));
88 assert_eq!(*Big::from_small(0x1).mul_pow2(23), Big::from_u64(0x800000));
89 assert_eq!(*Big::from_u64(0x123).mul_pow2(0), Big::from_u64(0x123));
90 assert_eq!(*Big::from_u64(0x123).mul_pow2(7), Big::from_u64(0x9180));
91 assert_eq!(*Big::from_u64(0x123).mul_pow2(15), Big::from_u64(0x918000));
92 assert_eq!(*Big::from_small(0).mul_pow2(23), Big::from_small(0));
97 fn test_mul_pow2_overflow_1() {
98 Big::from_u64(0x1).mul_pow2(24);
103 fn test_mul_pow2_overflow_2() {
104 Big::from_u64(0x123).mul_pow2(16);
109 assert_eq!(*Big::from_small(42).mul_pow5(0), Big::from_small(42));
110 assert_eq!(*Big::from_small(1).mul_pow5(2), Big::from_small(25));
111 assert_eq!(*Big::from_small(1).mul_pow5(4), Big::from_u64(25 * 25));
112 assert_eq!(*Big::from_small(4).mul_pow5(3), Big::from_u64(500));
113 assert_eq!(*Big::from_small(140).mul_pow5(2), Big::from_u64(25 * 140));
114 assert_eq!(*Big::from_small(25).mul_pow5(1), Big::from_small(125));
115 assert_eq!(*Big::from_small(125).mul_pow5(7), Big::from_u64(9765625));
116 assert_eq!(*Big::from_small(0).mul_pow5(127), Big::from_small(0));
121 fn test_mul_pow5_overflow_1() {
122 Big::from_small(1).mul_pow5(12);
127 fn test_mul_pow5_overflow_2() {
128 Big::from_small(230).mul_pow5(8);
132 fn test_mul_digits() {
133 assert_eq!(*Big::from_small(3).mul_digits(&[5]), Big::from_small(15));
134 assert_eq!(*Big::from_small(0xff).mul_digits(&[0xff]), Big::from_u64(0xfe01));
135 assert_eq!(*Big::from_u64(0x123).mul_digits(&[0x56, 0x4]), Big::from_u64(0x4edc2));
136 assert_eq!(*Big::from_u64(0x12345).mul_digits(&[0x67]), Big::from_u64(0x7530c3));
137 assert_eq!(*Big::from_small(0x12).mul_digits(&[0x67, 0x45, 0x3]), Big::from_u64(0x3ae13e));
138 assert_eq!(*Big::from_u64(0xffffff / 13).mul_digits(&[13]), Big::from_u64(0xffffff));
139 assert_eq!(*Big::from_small(13).mul_digits(&[0x3b, 0xb1, 0x13]), Big::from_u64(0xffffff));
144 fn test_mul_digits_overflow_1() {
145 Big::from_u64(0x800000).mul_digits(&[2]);
150 fn test_mul_digits_overflow_2() {
151 Big::from_u64(0x1000).mul_digits(&[0, 0x10]);
155 fn test_div_rem_small() {
156 let as_val = |(q, r): (&mut Big, u8)| (q.clone(), r);
157 assert_eq!(as_val(Big::from_small(0xff).div_rem_small(15)), (Big::from_small(17), 0));
158 assert_eq!(as_val(Big::from_small(0xff).div_rem_small(16)), (Big::from_small(15), 15));
159 assert_eq!(as_val(Big::from_small(3).div_rem_small(40)), (Big::from_small(0), 3));
161 as_val(Big::from_u64(0xffffff).div_rem_small(123)),
162 (Big::from_u64(0xffffff / 123), (0xffffffu64 % 123) as u8)
165 as_val(Big::from_u64(0x10000).div_rem_small(123)),
166 (Big::from_u64(0x10000 / 123), (0x10000u64 % 123) as u8)
172 fn div_rem(n: u64, d: u64) -> (Big, Big) {
173 let mut q = Big::from_small(42);
174 let mut r = Big::from_small(42);
175 Big::from_u64(n).div_rem(&Big::from_u64(d), &mut q, &mut r);
178 assert_eq!(div_rem(1, 1), (Big::from_small(1), Big::from_small(0)));
179 assert_eq!(div_rem(4, 3), (Big::from_small(1), Big::from_small(1)));
180 assert_eq!(div_rem(1, 7), (Big::from_small(0), Big::from_small(1)));
181 assert_eq!(div_rem(45, 9), (Big::from_small(5), Big::from_small(0)));
182 assert_eq!(div_rem(103, 9), (Big::from_small(11), Big::from_small(4)));
183 assert_eq!(div_rem(123456, 77), (Big::from_u64(1603), Big::from_small(25)));
184 assert_eq!(div_rem(0xffff, 1), (Big::from_u64(0xffff), Big::from_small(0)));
185 assert_eq!(div_rem(0xeeee, 0xffff), (Big::from_small(0), Big::from_u64(0xeeee)));
186 assert_eq!(div_rem(2_000_000, 2), (Big::from_u64(1_000_000), Big::from_u64(0)));
191 assert!(Big::from_small(0).is_zero());
192 assert!(!Big::from_small(3).is_zero());
193 assert!(!Big::from_u64(0x123).is_zero());
194 assert!(!Big::from_u64(0xffffff).sub(&Big::from_u64(0xfffffe)).is_zero());
195 assert!(Big::from_u64(0xffffff).sub(&Big::from_u64(0xffffff)).is_zero());
200 let x = Big::from_small(0b1101);
201 assert_eq!(x.get_bit(0), 1);
202 assert_eq!(x.get_bit(1), 0);
203 assert_eq!(x.get_bit(2), 1);
204 assert_eq!(x.get_bit(3), 1);
205 let y = Big::from_u64(1 << 15);
206 assert_eq!(y.get_bit(14), 0);
207 assert_eq!(y.get_bit(15), 1);
208 assert_eq!(y.get_bit(16), 0);
213 fn test_get_bit_out_of_range() {
214 Big::from_small(42).get_bit(24);
218 fn test_bit_length() {
221 assert_eq!(Big::from_small(1).mul_pow2(i).bit_length(), i + 1);
223 for i in 1..8 * 3 - 1 {
225 assert_eq!(Big::from_small(1).mul_pow2(i).add(&Big::from_small(1)).bit_length(), i + 1);
227 assert_eq!(Big::from_small(3).mul_pow2(i).bit_length(), i + 2);
229 assert_eq!(Big::from_small(0).bit_length(), 0);
230 assert_eq!(Big::from_small(1).bit_length(), 1);
231 assert_eq!(Big::from_small(5).bit_length(), 3);
232 assert_eq!(Big::from_small(0x18).bit_length(), 5);
233 assert_eq!(Big::from_u64(0x4073).bit_length(), 15);
234 assert_eq!(Big::from_u64(0xffffff).bit_length(), 24);
238 fn test_bit_length_32x40() {
239 for i in 0..32 * 40 {
241 assert_eq!(Big32x40::from_small(1).mul_pow2(i).bit_length(), i + 1);
243 for i in 1..32 * 40 - 1 {
246 Big32x40::from_small(1).mul_pow2(i).add(&Big32x40::from_small(1)).bit_length(),
250 assert_eq!(Big32x40::from_small(3).mul_pow2(i).bit_length(), i + 2);
252 assert_eq!(Big32x40::from_small(0).bit_length(), 0);
253 assert_eq!(Big32x40::from_small(1).bit_length(), 1);
254 assert_eq!(Big32x40::from_small(5).bit_length(), 3);
255 assert_eq!(Big32x40::from_small(0x18).bit_length(), 5);
256 assert_eq!(Big32x40::from_u64(0x4073).bit_length(), 15);
257 assert_eq!(Big32x40::from_u64(0xffffff).bit_length(), 24);
258 assert_eq!(Big32x40::from_u64(0xffffffffffffffff).bit_length(), 64);
263 assert!(Big::from_u64(0) < Big::from_u64(0xffffff));
264 assert!(Big::from_u64(0x102) < Big::from_u64(0x201));
269 assert_eq!(format!("{:?}", Big::from_u64(0)), "0x0");
270 assert_eq!(format!("{:?}", Big::from_u64(0x1)), "0x1");
271 assert_eq!(format!("{:?}", Big::from_u64(0x12)), "0x12");
272 assert_eq!(format!("{:?}", Big::from_u64(0x123)), "0x1_23");
273 assert_eq!(format!("{:?}", Big::from_u64(0x1234)), "0x12_34");
274 assert_eq!(format!("{:?}", Big::from_u64(0x12345)), "0x1_23_45");
275 assert_eq!(format!("{:?}", Big::from_u64(0x123456)), "0x12_34_56");