use core::num::bignum::Big32x40; use core::num::bignum::tests::Big8x3 as Big; #[test] #[should_panic] fn test_from_u64_overflow() { Big::from_u64(0x1000000); } #[test] fn test_add() { assert_eq!(*Big::from_small(3).add(&Big::from_small(4)), Big::from_small(7)); assert_eq!(*Big::from_small(3).add(&Big::from_small(0)), Big::from_small(3)); assert_eq!(*Big::from_small(0).add(&Big::from_small(3)), Big::from_small(3)); assert_eq!(*Big::from_small(3).add(&Big::from_u64(0xfffe)), Big::from_u64(0x10001)); assert_eq!(*Big::from_u64(0xfedc).add(&Big::from_u64(0x789)), Big::from_u64(0x10665)); assert_eq!(*Big::from_u64(0x789).add(&Big::from_u64(0xfedc)), Big::from_u64(0x10665)); } #[test] #[should_panic] fn test_add_overflow_1() { Big::from_small(1).add(&Big::from_u64(0xffffff)); } #[test] #[should_panic] fn test_add_overflow_2() { Big::from_u64(0xffffff).add(&Big::from_small(1)); } #[test] fn test_add_small() { assert_eq!(*Big::from_small(3).add_small(4), Big::from_small(7)); assert_eq!(*Big::from_small(3).add_small(0), Big::from_small(3)); assert_eq!(*Big::from_small(0).add_small(3), Big::from_small(3)); assert_eq!(*Big::from_small(7).add_small(250), Big::from_u64(257)); assert_eq!(*Big::from_u64(0x7fff).add_small(1), Big::from_u64(0x8000)); assert_eq!(*Big::from_u64(0x2ffe).add_small(0x35), Big::from_u64(0x3033)); assert_eq!(*Big::from_small(0xdc).add_small(0x89), Big::from_u64(0x165)); } #[test] #[should_panic] fn test_add_small_overflow() { Big::from_u64(0xffffff).add_small(1); } #[test] fn test_sub() { assert_eq!(*Big::from_small(7).sub(&Big::from_small(4)), Big::from_small(3)); assert_eq!(*Big::from_u64(0x10665).sub(&Big::from_u64(0x789)), Big::from_u64(0xfedc)); assert_eq!(*Big::from_u64(0x10665).sub(&Big::from_u64(0xfedc)), Big::from_u64(0x789)); assert_eq!(*Big::from_u64(0x10665).sub(&Big::from_u64(0x10664)), Big::from_small(1)); assert_eq!(*Big::from_u64(0x10665).sub(&Big::from_u64(0x10665)), Big::from_small(0)); } #[test] #[should_panic] fn test_sub_underflow_1() { Big::from_u64(0x10665).sub(&Big::from_u64(0x10666)); } #[test] #[should_panic] fn test_sub_underflow_2() { Big::from_small(0).sub(&Big::from_u64(0x123456)); } #[test] fn test_mul_small() { assert_eq!(*Big::from_small(7).mul_small(5), Big::from_small(35)); assert_eq!(*Big::from_small(0xff).mul_small(0xff), Big::from_u64(0xfe01)); assert_eq!(*Big::from_u64(0xffffff / 13).mul_small(13), Big::from_u64(0xffffff)); } #[test] #[should_panic] fn test_mul_small_overflow() { Big::from_u64(0x800000).mul_small(2); } #[test] fn test_mul_pow2() { assert_eq!(*Big::from_small(0x7).mul_pow2(4), Big::from_small(0x70)); assert_eq!(*Big::from_small(0xff).mul_pow2(1), Big::from_u64(0x1fe)); assert_eq!(*Big::from_small(0xff).mul_pow2(12), Big::from_u64(0xff000)); assert_eq!(*Big::from_small(0x1).mul_pow2(23), Big::from_u64(0x800000)); assert_eq!(*Big::from_u64(0x123).mul_pow2(0), Big::from_u64(0x123)); assert_eq!(*Big::from_u64(0x123).mul_pow2(7), Big::from_u64(0x9180)); assert_eq!(*Big::from_u64(0x123).mul_pow2(15), Big::from_u64(0x918000)); assert_eq!(*Big::from_small(0).mul_pow2(23), Big::from_small(0)); } #[test] #[should_panic] fn test_mul_pow2_overflow_1() { Big::from_u64(0x1).mul_pow2(24); } #[test] #[should_panic] fn test_mul_pow2_overflow_2() { Big::from_u64(0x123).mul_pow2(16); } #[test] fn test_mul_pow5() { assert_eq!(*Big::from_small(42).mul_pow5(0), Big::from_small(42)); assert_eq!(*Big::from_small(1).mul_pow5(2), Big::from_small(25)); assert_eq!(*Big::from_small(1).mul_pow5(4), Big::from_u64(25 * 25)); assert_eq!(*Big::from_small(4).mul_pow5(3), Big::from_u64(500)); assert_eq!(*Big::from_small(140).mul_pow5(2), Big::from_u64(25 * 140)); assert_eq!(*Big::from_small(25).mul_pow5(1), Big::from_small(125)); assert_eq!(*Big::from_small(125).mul_pow5(7), Big::from_u64(9765625)); assert_eq!(*Big::from_small(0).mul_pow5(127), Big::from_small(0)); } #[test] #[should_panic] fn test_mul_pow5_overflow_1() { Big::from_small(1).mul_pow5(12); } #[test] #[should_panic] fn test_mul_pow5_overflow_2() { Big::from_small(230).mul_pow5(8); } #[test] fn test_mul_digits() { assert_eq!(*Big::from_small(3).mul_digits(&[5]), Big::from_small(15)); assert_eq!(*Big::from_small(0xff).mul_digits(&[0xff]), Big::from_u64(0xfe01)); assert_eq!(*Big::from_u64(0x123).mul_digits(&[0x56, 0x4]), Big::from_u64(0x4edc2)); assert_eq!(*Big::from_u64(0x12345).mul_digits(&[0x67]), Big::from_u64(0x7530c3)); assert_eq!(*Big::from_small(0x12).mul_digits(&[0x67, 0x45, 0x3]), Big::from_u64(0x3ae13e)); assert_eq!(*Big::from_u64(0xffffff / 13).mul_digits(&[13]), Big::from_u64(0xffffff)); assert_eq!(*Big::from_small(13).mul_digits(&[0x3b, 0xb1, 0x13]), Big::from_u64(0xffffff)); } #[test] #[should_panic] fn test_mul_digits_overflow_1() { Big::from_u64(0x800000).mul_digits(&[2]); } #[test] #[should_panic] fn test_mul_digits_overflow_2() { Big::from_u64(0x1000).mul_digits(&[0, 0x10]); } #[test] fn test_div_rem_small() { let as_val = |(q, r): (&mut Big, u8)| (q.clone(), r); assert_eq!(as_val(Big::from_small(0xff).div_rem_small(15)), (Big::from_small(17), 0)); assert_eq!(as_val(Big::from_small(0xff).div_rem_small(16)), (Big::from_small(15), 15)); assert_eq!(as_val(Big::from_small(3).div_rem_small(40)), (Big::from_small(0), 3)); assert_eq!( as_val(Big::from_u64(0xffffff).div_rem_small(123)), (Big::from_u64(0xffffff / 123), (0xffffffu64 % 123) as u8) ); assert_eq!( as_val(Big::from_u64(0x10000).div_rem_small(123)), (Big::from_u64(0x10000 / 123), (0x10000u64 % 123) as u8) ); } #[test] fn test_div_rem() { fn div_rem(n: u64, d: u64) -> (Big, Big) { let mut q = Big::from_small(42); let mut r = Big::from_small(42); Big::from_u64(n).div_rem(&Big::from_u64(d), &mut q, &mut r); (q, r) } assert_eq!(div_rem(1, 1), (Big::from_small(1), Big::from_small(0))); assert_eq!(div_rem(4, 3), (Big::from_small(1), Big::from_small(1))); assert_eq!(div_rem(1, 7), (Big::from_small(0), Big::from_small(1))); assert_eq!(div_rem(45, 9), (Big::from_small(5), Big::from_small(0))); assert_eq!(div_rem(103, 9), (Big::from_small(11), Big::from_small(4))); assert_eq!(div_rem(123456, 77), (Big::from_u64(1603), Big::from_small(25))); assert_eq!(div_rem(0xffff, 1), (Big::from_u64(0xffff), Big::from_small(0))); assert_eq!(div_rem(0xeeee, 0xffff), (Big::from_small(0), Big::from_u64(0xeeee))); assert_eq!(div_rem(2_000_000, 2), (Big::from_u64(1_000_000), Big::from_u64(0))); } #[test] fn test_is_zero() { assert!(Big::from_small(0).is_zero()); assert!(!Big::from_small(3).is_zero()); assert!(!Big::from_u64(0x123).is_zero()); assert!(!Big::from_u64(0xffffff).sub(&Big::from_u64(0xfffffe)).is_zero()); assert!(Big::from_u64(0xffffff).sub(&Big::from_u64(0xffffff)).is_zero()); } #[test] fn test_get_bit() { let x = Big::from_small(0b1101); assert_eq!(x.get_bit(0), 1); assert_eq!(x.get_bit(1), 0); assert_eq!(x.get_bit(2), 1); assert_eq!(x.get_bit(3), 1); let y = Big::from_u64(1 << 15); assert_eq!(y.get_bit(14), 0); assert_eq!(y.get_bit(15), 1); assert_eq!(y.get_bit(16), 0); } #[test] #[should_panic] fn test_get_bit_out_of_range() { Big::from_small(42).get_bit(24); } #[test] fn test_bit_length() { for i in 0..8 * 3 { // 010000...000 assert_eq!(Big::from_small(1).mul_pow2(i).bit_length(), i + 1); } for i in 1..8 * 3 - 1 { // 010000...001 assert_eq!(Big::from_small(1).mul_pow2(i).add(&Big::from_small(1)).bit_length(), i + 1); // 110000...000 assert_eq!(Big::from_small(3).mul_pow2(i).bit_length(), i + 2); } assert_eq!(Big::from_small(0).bit_length(), 0); assert_eq!(Big::from_small(1).bit_length(), 1); assert_eq!(Big::from_small(5).bit_length(), 3); assert_eq!(Big::from_small(0x18).bit_length(), 5); assert_eq!(Big::from_u64(0x4073).bit_length(), 15); assert_eq!(Big::from_u64(0xffffff).bit_length(), 24); } #[test] fn test_bit_length_32x40() { for i in 0..32 * 40 { // 010000...000 assert_eq!(Big32x40::from_small(1).mul_pow2(i).bit_length(), i + 1); } for i in 1..32 * 40 - 1 { // 010000...001 assert_eq!( Big32x40::from_small(1).mul_pow2(i).add(&Big32x40::from_small(1)).bit_length(), i + 1 ); // 110000...000 assert_eq!(Big32x40::from_small(3).mul_pow2(i).bit_length(), i + 2); } assert_eq!(Big32x40::from_small(0).bit_length(), 0); assert_eq!(Big32x40::from_small(1).bit_length(), 1); assert_eq!(Big32x40::from_small(5).bit_length(), 3); assert_eq!(Big32x40::from_small(0x18).bit_length(), 5); assert_eq!(Big32x40::from_u64(0x4073).bit_length(), 15); assert_eq!(Big32x40::from_u64(0xffffff).bit_length(), 24); assert_eq!(Big32x40::from_u64(0xffffffffffffffff).bit_length(), 64); } #[test] fn test_ord() { assert!(Big::from_u64(0) < Big::from_u64(0xffffff)); assert!(Big::from_u64(0x102) < Big::from_u64(0x201)); } #[test] fn test_fmt() { assert_eq!(format!("{:?}", Big::from_u64(0)), "0x0"); assert_eq!(format!("{:?}", Big::from_u64(0x1)), "0x1"); assert_eq!(format!("{:?}", Big::from_u64(0x12)), "0x12"); assert_eq!(format!("{:?}", Big::from_u64(0x123)), "0x1_23"); assert_eq!(format!("{:?}", Big::from_u64(0x1234)), "0x12_34"); assert_eq!(format!("{:?}", Big::from_u64(0x12345)), "0x1_23_45"); assert_eq!(format!("{:?}", Big::from_u64(0x123456)), "0x12_34_56"); }