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mod stackvec;
use core::cmp;
use minimal_lexical::bigint;
use stackvec::{vec_from_u32, VecType};
// u64::MAX and Limb::MAX for older Rustc versions.
const U64_MAX: u64 = 0xffff_ffff_ffff_ffff;
// LIMB_MAX
#[cfg(all(target_pointer_width = "64", not(target_arch = "sparc")))]
const LIMB_MAX: u64 = U64_MAX;
#[cfg(not(all(target_pointer_width = "64", not(target_arch = "sparc"))))]
const LIMB_MAX: u32 = 0xffff_ffff;
#[test]
fn simple_test() {
// Test the simple properties of the stack vector.
let mut x = VecType::from_u64(1);
assert_eq!(x.len(), 1);
assert_eq!(x.is_empty(), false);
assert_eq!(x.capacity(), bigint::BIGINT_LIMBS);
x.try_push(5).unwrap();
assert_eq!(x.len(), 2);
assert_eq!(x.pop(), Some(5));
assert_eq!(x.len(), 1);
assert_eq!(&*x, &[1]);
x.try_extend(&[2, 3, 4]).unwrap();
assert_eq!(x.len(), 4);
assert_eq!(&*x, &[1, 2, 3, 4]);
x.try_resize(6, 0).unwrap();
assert_eq!(x.len(), 6);
assert_eq!(&*x, &[1, 2, 3, 4, 0, 0]);
x.try_resize(0, 0).unwrap();
assert_eq!(x.len(), 0);
assert_eq!(x.is_empty(), true);
let x = VecType::try_from(&[5, 1]).unwrap();
assert_eq!(x.len(), 2);
assert_eq!(x.is_empty(), false);
if bigint::LIMB_BITS == 32 {
assert_eq!(x.hi64(), (0x8000000280000000, false));
} else {
assert_eq!(x.hi64(), (0x8000000000000002, true));
}
let rview = bigint::rview(&x);
assert_eq!(x[0], 5);
assert_eq!(x[1], 1);
assert_eq!(rview[0], 1);
assert_eq!(rview[1], 5);
assert_eq!(x.len(), 2);
assert_eq!(VecType::from_u64(U64_MAX).hi64(), (U64_MAX, false));
}
#[test]
fn hi64_test() {
assert_eq!(VecType::from_u64(0xA).hi64(), (0xA000000000000000, false));
assert_eq!(VecType::from_u64(0xAB).hi64(), (0xAB00000000000000, false));
assert_eq!(VecType::from_u64(0xAB00000000).hi64(), (0xAB00000000000000, false));
assert_eq!(VecType::from_u64(0xA23456789A).hi64(), (0xA23456789A000000, false));
}
#[test]
fn cmp_test() {
// Simple
let x = VecType::from_u64(1);
let y = VecType::from_u64(2);
assert_eq!(x.partial_cmp(&x), Some(cmp::Ordering::Equal));
assert_eq!(x.cmp(&x), cmp::Ordering::Equal);
assert_eq!(x.cmp(&y), cmp::Ordering::Less);
// Check asymmetric
let x = VecType::try_from(&[5, 1]).unwrap();
let y = VecType::from_u64(2);
assert_eq!(x.cmp(&x), cmp::Ordering::Equal);
assert_eq!(x.cmp(&y), cmp::Ordering::Greater);
// Check when we use reverse ordering properly.
let x = VecType::try_from(&[5, 1, 9]).unwrap();
let y = VecType::try_from(&[6, 2, 8]).unwrap();
assert_eq!(x.cmp(&x), cmp::Ordering::Equal);
assert_eq!(x.cmp(&y), cmp::Ordering::Greater);
// Complex scenario, check it properly uses reverse ordering.
let x = VecType::try_from(&[0, 1, 9]).unwrap();
let y = VecType::try_from(&[4294967295, 0, 9]).unwrap();
assert_eq!(x.cmp(&x), cmp::Ordering::Equal);
assert_eq!(x.cmp(&y), cmp::Ordering::Greater);
}
#[test]
fn math_test() {
let mut x = VecType::try_from(&[0, 1, 9]).unwrap();
assert_eq!(x.is_normalized(), true);
x.try_push(0).unwrap();
assert_eq!(&*x, &[0, 1, 9, 0]);
assert_eq!(x.is_normalized(), false);
x.normalize();
assert_eq!(&*x, &[0, 1, 9]);
assert_eq!(x.is_normalized(), true);
x.add_small(1);
assert_eq!(&*x, &[1, 1, 9]);
x.add_small(LIMB_MAX);
assert_eq!(&*x, &[0, 2, 9]);
x.mul_small(3);
assert_eq!(&*x, &[0, 6, 27]);
x.mul_small(LIMB_MAX);
let expected: VecType = if bigint::LIMB_BITS == 32 {
vec_from_u32(&[0, 4294967290, 4294967274, 26])
} else {
vec_from_u32(&[0, 0, 4294967290, 4294967295, 4294967274, 4294967295, 26])
};
assert_eq!(&*x, &*expected);
let mut x = VecType::from_u64(0xFFFFFFFF);
let y = VecType::from_u64(5);
x *= &y;
let expected: VecType = vec_from_u32(&[0xFFFFFFFB, 0x4]);
assert_eq!(&*x, &*expected);
// Test with carry
let mut x = VecType::from_u64(1);
assert_eq!(&*x, &[1]);
x.add_small(LIMB_MAX);
assert_eq!(&*x, &[0, 1]);
}
#[test]
fn scalar_add_test() {
assert_eq!(bigint::scalar_add(5, 5), (10, false));
assert_eq!(bigint::scalar_add(LIMB_MAX, 1), (0, true));
}
#[test]
fn scalar_mul_test() {
assert_eq!(bigint::scalar_mul(5, 5, 0), (25, 0));
assert_eq!(bigint::scalar_mul(5, 5, 1), (26, 0));
assert_eq!(bigint::scalar_mul(LIMB_MAX, 2, 0), (LIMB_MAX - 1, 1));
}
#[test]
fn small_add_test() {
let mut x = VecType::from_u64(4294967295);
bigint::small_add(&mut x, 5);
let expected: VecType = vec_from_u32(&[4, 1]);
assert_eq!(&*x, &*expected);
let mut x = VecType::from_u64(5);
bigint::small_add(&mut x, 7);
let expected = VecType::from_u64(12);
assert_eq!(&*x, &*expected);
// Single carry, internal overflow
let mut x = VecType::from_u64(0x80000000FFFFFFFF);
bigint::small_add(&mut x, 7);
let expected: VecType = vec_from_u32(&[6, 0x80000001]);
assert_eq!(&*x, &*expected);
// Double carry, overflow
let mut x = VecType::from_u64(0xFFFFFFFFFFFFFFFF);
bigint::small_add(&mut x, 7);
let expected: VecType = vec_from_u32(&[6, 0, 1]);
assert_eq!(&*x, &*expected);
}
#[test]
fn small_mul_test() {
// No overflow check, 1-int.
let mut x = VecType::from_u64(5);
bigint::small_mul(&mut x, 7);
let expected = VecType::from_u64(35);
assert_eq!(&*x, &*expected);
// No overflow check, 2-ints.
let mut x = VecType::from_u64(0x4000000040000);
bigint::small_mul(&mut x, 5);
let expected: VecType = vec_from_u32(&[0x00140000, 0x140000]);
assert_eq!(&*x, &*expected);
// Overflow, 1 carry.
let mut x = VecType::from_u64(0x33333334);
bigint::small_mul(&mut x, 5);
let expected: VecType = vec_from_u32(&[4, 1]);
assert_eq!(&*x, &*expected);
// Overflow, 1 carry, internal.
let mut x = VecType::from_u64(0x133333334);
bigint::small_mul(&mut x, 5);
let expected: VecType = vec_from_u32(&[4, 6]);
assert_eq!(&*x, &*expected);
// Overflow, 2 carries.
let mut x = VecType::from_u64(0x3333333333333334);
bigint::small_mul(&mut x, 5);
let expected: VecType = vec_from_u32(&[4, 0, 1]);
assert_eq!(&*x, &*expected);
}
#[test]
fn pow_test() {
let mut x = VecType::from_u64(1);
bigint::pow(&mut x, 2);
let expected = VecType::from_u64(25);
assert_eq!(&*x, &*expected);
let mut x = VecType::from_u64(1);
bigint::pow(&mut x, 15);
let expected: VecType = vec_from_u32(&[452807053, 7]);
assert_eq!(&*x, &*expected);
let mut x = VecType::from_u64(1);
bigint::pow(&mut x, 16);
let expected: VecType = vec_from_u32(&[2264035265, 35]);
assert_eq!(&*x, &*expected);
let mut x = VecType::from_u64(1);
bigint::pow(&mut x, 17);
let expected: VecType = vec_from_u32(&[2730241733, 177]);
assert_eq!(&*x, &*expected);
let mut x = VecType::from_u64(1);
bigint::pow(&mut x, 302);
let expected: VecType = vec_from_u32(&[
2443090281, 2149694430, 2297493928, 1584384001, 1279504719, 1930002239, 3312868939,
3735173465, 3523274756, 2025818732, 1641675015, 2431239749, 4292780461, 3719612855,
4174476133, 3296847770, 2677357556, 638848153, 2198928114, 3285049351, 2159526706,
626302612,
]);
assert_eq!(&*x, &*expected);
}
#[test]
fn large_add_test() {
// Overflow, both single values
let mut x = VecType::from_u64(4294967295);
let y = VecType::from_u64(5);
bigint::large_add(&mut x, &y);
let expected: VecType = vec_from_u32(&[4, 1]);
assert_eq!(&*x, &*expected);
// No overflow, single value
let mut x = VecType::from_u64(5);
let y = VecType::from_u64(7);
bigint::large_add(&mut x, &y);
let expected = VecType::from_u64(12);
assert_eq!(&*x, &*expected);
// Single carry, internal overflow
let mut x = VecType::from_u64(0x80000000FFFFFFFF);
let y = VecType::from_u64(7);
bigint::large_add(&mut x, &y);
let expected: VecType = vec_from_u32(&[6, 0x80000001]);
assert_eq!(&*x, &*expected);
// 1st overflows, 2nd doesn't.
let mut x = VecType::from_u64(0x7FFFFFFFFFFFFFFF);
let y = VecType::from_u64(0x7FFFFFFFFFFFFFFF);
bigint::large_add(&mut x, &y);
let expected: VecType = vec_from_u32(&[0xFFFFFFFE, 0xFFFFFFFF]);
assert_eq!(&*x, &*expected);
// Both overflow.
let mut x = VecType::from_u64(0x8FFFFFFFFFFFFFFF);
let y = VecType::from_u64(0x7FFFFFFFFFFFFFFF);
bigint::large_add(&mut x, &y);
let expected: VecType = vec_from_u32(&[0xFFFFFFFE, 0x0FFFFFFF, 1]);
assert_eq!(&*x, &*expected);
}
#[test]
fn large_mul_test() {
// Test by empty
let mut x = VecType::from_u64(0xFFFFFFFF);
let y = VecType::new();
bigint::large_mul(&mut x, &y);
let expected = VecType::new();
assert_eq!(&*x, &*expected);
// Simple case
let mut x = VecType::from_u64(0xFFFFFFFF);
let y = VecType::from_u64(5);
bigint::large_mul(&mut x, &y);
let expected: VecType = vec_from_u32(&[0xFFFFFFFB, 0x4]);
assert_eq!(&*x, &*expected);
// Large u32, but still just as easy.
let mut x = VecType::from_u64(0xFFFFFFFF);
let y = VecType::from_u64(0xFFFFFFFE);
bigint::large_mul(&mut x, &y);
let expected: VecType = vec_from_u32(&[0x2, 0xFFFFFFFD]);
assert_eq!(&*x, &*expected);
// Let's multiply two large values together.
let mut x: VecType = vec_from_u32(&[0xFFFFFFFE, 0x0FFFFFFF, 1]);
let y: VecType = vec_from_u32(&[0x99999999, 0x99999999, 0xCCCD9999, 0xCCCC]);
bigint::large_mul(&mut x, &y);
let expected: VecType =
vec_from_u32(&[0xCCCCCCCE, 0x5CCCCCCC, 0x9997FFFF, 0x33319999, 0x999A7333, 0xD999]);
assert_eq!(&*x, &*expected);
}
#[test]
fn very_large_mul_test() {
// Test cases triggered to that would normally use `karatsuba_mul`.
// Karatsuba multiplication was ripped out, however, these are useful
// test cases.
let mut x: VecType = vec_from_u32(&[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]);
let y: VecType = vec_from_u32(&[4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]);
bigint::large_mul(&mut x, &y);
let expected: VecType = vec_from_u32(&[
4, 13, 28, 50, 80, 119, 168, 228, 300, 385, 484, 598, 728, 875, 1040, 1224, 1340, 1435,
1508, 1558, 1584, 1585, 1560, 1508, 1428, 1319, 1180, 1010, 808, 573, 304,
]);
assert_eq!(&*x, &*expected);
// Test cases triggered to that would normally use `karatsuba_uneven_mul`.
let mut x: VecType = vec_from_u32(&[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]);
let y: VecType = vec_from_u32(&[
4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27,
28, 29, 30, 31, 32, 33, 34, 35, 36, 37,
]);
bigint::large_mul(&mut x, &y);
let expected: VecType = vec_from_u32(&[
4, 13, 28, 50, 80, 119, 168, 228, 300, 385, 484, 598, 728, 875, 1040, 1224, 1360, 1496,
1632, 1768, 1904, 2040, 2176, 2312, 2448, 2584, 2720, 2856, 2992, 3128, 3264, 3400, 3536,
3672, 3770, 3829, 3848, 3826, 3762, 3655, 3504, 3308, 3066, 2777, 2440, 2054, 1618, 1131,
592,
]);
assert_eq!(&*x, &*expected);
}
#[test]
fn bit_length_test() {
let x: VecType = vec_from_u32(&[0, 0, 0, 1]);
assert_eq!(bigint::bit_length(&x), 97);
let x: VecType = vec_from_u32(&[0, 0, 0, 3]);
assert_eq!(bigint::bit_length(&x), 98);
let x = VecType::from_u64(1 << 31);
assert_eq!(bigint::bit_length(&x), 32);
}
#[test]
fn shl_bits_test() {
let mut x = VecType::from_u64(0xD2210408);
bigint::shl_bits(&mut x, 5);
let expected: VecType = vec_from_u32(&[0x44208100, 0x1A]);
assert_eq!(&*x, &*expected);
}
#[test]
fn shl_limbs_test() {
let mut x = VecType::from_u64(0xD2210408);
bigint::shl_limbs(&mut x, 2);
let expected: VecType = if bigint::LIMB_BITS == 32 {
vec_from_u32(&[0, 0, 0xD2210408])
} else {
vec_from_u32(&[0, 0, 0, 0, 0xD2210408])
};
assert_eq!(&*x, &*expected);
}
#[test]
fn shl_test() {
// Pattern generated via `''.join(["1" +"0"*i for i in range(20)])`
let mut x = VecType::from_u64(0xD2210408);
bigint::shl(&mut x, 5);
let expected: VecType = vec_from_u32(&[0x44208100, 0x1A]);
assert_eq!(&*x, &*expected);
bigint::shl(&mut x, 32);
let expected: VecType = vec_from_u32(&[0, 0x44208100, 0x1A]);
assert_eq!(&*x, &*expected);
bigint::shl(&mut x, 27);
let expected: VecType = vec_from_u32(&[0, 0, 0xD2210408]);
assert_eq!(&*x, &*expected);
// 96-bits of previous pattern
let mut x: VecType = vec_from_u32(&[0x20020010, 0x8040100, 0xD2210408]);
bigint::shl(&mut x, 5);
let expected: VecType = vec_from_u32(&[0x400200, 0x802004, 0x44208101, 0x1A]);
assert_eq!(&*x, &*expected);
bigint::shl(&mut x, 32);
let expected: VecType = vec_from_u32(&[0, 0x400200, 0x802004, 0x44208101, 0x1A]);
assert_eq!(&*x, &*expected);
bigint::shl(&mut x, 27);
let expected: VecType = vec_from_u32(&[0, 0, 0x20020010, 0x8040100, 0xD2210408]);
assert_eq!(&*x, &*expected);
}