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openethereum/util/bigint/src/uint.rs
Nikolay Volf 9d8feff28d replace add with or
2016-04-04 11:06:16 +02:00

2153 lines
61 KiB
Rust
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// Copyright 2015, 2016 Ethcore (UK) Ltd.
// This file is part of Parity.
// Parity is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.
// Parity is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.
// You should have received a copy of the GNU General Public License
// along with Parity. If not, see <http://www.gnu.org/licenses/>.
// Code derived from original work by Andrew Poelstra <apoelstra@wpsoftware.net>
// Rust Bitcoin Library
// Written in 2014 by
// Andrew Poelstra <apoelstra@wpsoftware.net>
//
// To the extent possible under law, the author(s) have dedicated all
// copyright and related and neighboring rights to this software to
// the public domain worldwide. This software is distributed without
// any warranty.
//
// You should have received a copy of the CC0 Public Domain Dedication
// along with this software.
// If not, see <http://creativecommons.org/publicdomain/zero/1.0/>.
//
//! Big unsigned integer types
//!
//! Implementation of a various large-but-fixed sized unsigned integer types.
//! The functions here are designed to be fast.
//!
#[cfg(all(asm_available, target_arch="x86_64"))]
use std::mem;
use std::fmt;
use std::cmp;
use std::str::{FromStr};
use std::convert::From;
use std::hash::{Hash, Hasher};
use std::ops::*;
use std::cmp::*;
use serde;
use rustc_serialize::hex::{FromHex, FromHexError, ToHex};
macro_rules! impl_map_from {
($thing:ident, $from:ty, $to:ty) => {
impl From<$from> for $thing {
fn from(value: $from) -> $thing {
From::from(value as $to)
}
}
}
}
#[cfg(not(all(asm_available, target_arch="x86_64")))]
macro_rules! uint_overflowing_add {
($name:ident, $n_words:expr, $self_expr: expr, $other: expr) => ({
uint_overflowing_add_reg!($name, $n_words, $self_expr, $other)
})
}
macro_rules! uint_overflowing_add_reg {
($name:ident, $n_words:expr, $self_expr: expr, $other: expr) => ({
let $name(ref me) = $self_expr;
let $name(ref you) = $other;
let mut ret = [0u64; $n_words];
let mut carry = 0u64;
for i in 0..$n_words {
let (res1, overflow1) = me[i].overflowing_add(you[i]);
let (res2, overflow2) = res1.overflowing_add(carry);
ret[i] = res2;
carry = overflow1 as u64 + overflow2 as u64;
}
($name(ret), carry > 0)
})
}
#[cfg(all(asm_available, target_arch="x86_64"))]
macro_rules! uint_overflowing_add {
(U256, $n_words: expr, $self_expr: expr, $other: expr) => ({
let mut result: [u64; 4] = unsafe { mem::uninitialized() };
let self_t: &[u64; 4] = unsafe { &mem::transmute($self_expr) };
let other_t: &[u64; 4] = unsafe { &mem::transmute($other) };
let overflow: u8;
unsafe {
asm!("
add $9, $0
adc $10, $1
adc $11, $2
adc $12, $3
setc %al
"
: "=r"(result[0]), "=r"(result[1]), "=r"(result[2]), "=r"(result[3]), "={al}"(overflow)
: "0"(self_t[0]), "1"(self_t[1]), "2"(self_t[2]), "3"(self_t[3]),
"mr"(other_t[0]), "mr"(other_t[1]), "mr"(other_t[2]), "mr"(other_t[3])
:
:
);
}
(U256(result), overflow != 0)
});
(U512, $n_words: expr, $self_expr: expr, $other: expr) => ({
let mut result: [u64; 8] = unsafe { mem::uninitialized() };
let self_t: &[u64; 8] = unsafe { &mem::transmute($self_expr) };
let other_t: &[u64; 8] = unsafe { &mem::transmute($other) };
let overflow: u8;
unsafe {
asm!("
add $15, $0
adc $16, $1
adc $17, $2
adc $18, $3
lodsq
adc $11, %rax
stosq
lodsq
adc $12, %rax
stosq
lodsq
adc $13, %rax
stosq
lodsq
adc $14, %rax
stosq
setc %al
": "=r"(result[0]), "=r"(result[1]), "=r"(result[2]), "=r"(result[3]),
"={al}"(overflow) /* $0 - $4 */
: "{rdi}"(&result[4] as *const u64) /* $5 */
"{rsi}"(&other_t[4] as *const u64) /* $6 */
"0"(self_t[0]), "1"(self_t[1]), "2"(self_t[2]), "3"(self_t[3]),
"m"(self_t[4]), "m"(self_t[5]), "m"(self_t[6]), "m"(self_t[7]),
/* $7 - $14 */
"mr"(other_t[0]), "mr"(other_t[1]), "mr"(other_t[2]), "mr"(other_t[3]),
"m"(other_t[4]), "m"(other_t[5]), "m"(other_t[6]), "m"(other_t[7]) /* $15 - $22 */
: "rdi", "rsi"
:
);
}
(U512(result), overflow != 0)
});
($name:ident, $n_words:expr, $self_expr: expr, $other: expr) => (
uint_overflowing_add_reg!($name, $n_words, $self_expr, $other)
)
}
#[cfg(not(all(asm_available, target_arch="x86_64")))]
macro_rules! uint_overflowing_sub {
($name:ident, $n_words: expr, $self_expr: expr, $other: expr) => ({
uint_overflowing_sub_reg!($name, $n_words, $self_expr, $other)
})
}
macro_rules! uint_overflowing_sub_reg {
($name:ident, $n_words: expr, $self_expr: expr, $other: expr) => ({
let $name(ref me) = $self_expr;
let $name(ref you) = $other;
let mut ret = [0u64; $n_words];
let mut carry = 0u64;
for i in 0..$n_words {
let (res1, overflow1) = me[i].overflowing_sub(you[i]);
let (res2, overflow2) = res1.overflowing_sub(carry);
ret[i] = res2;
carry = overflow1 as u64 + overflow2 as u64;
}
($name(ret), carry > 0)
})
}
#[cfg(all(asm_available, target_arch="x86_64"))]
macro_rules! uint_overflowing_sub {
(U256, $n_words: expr, $self_expr: expr, $other: expr) => ({
let mut result: [u64; 4] = unsafe { mem::uninitialized() };
let self_t: &[u64; 4] = unsafe { &mem::transmute($self_expr) };
let other_t: &[u64; 4] = unsafe { &mem::transmute($other) };
let overflow: u8;
unsafe {
asm!("
sub $9, $0
sbb $10, $1
sbb $11, $2
sbb $12, $3
setb %al
"
: "=r"(result[0]), "=r"(result[1]), "=r"(result[2]), "=r"(result[3]), "={al}"(overflow)
: "0"(self_t[0]), "1"(self_t[1]), "2"(self_t[2]), "3"(self_t[3]), "mr"(other_t[0]), "mr"(other_t[1]), "mr"(other_t[2]), "mr"(other_t[3])
:
:
);
}
(U256(result), overflow != 0)
});
(U512, $n_words: expr, $self_expr: expr, $other: expr) => ({
let mut result: [u64; 8] = unsafe { mem::uninitialized() };
let self_t: &[u64; 8] = unsafe { &mem::transmute($self_expr) };
let other_t: &[u64; 8] = unsafe { &mem::transmute($other) };
let overflow: u8;
unsafe {
asm!("
sub $15, $0
sbb $16, $1
sbb $17, $2
sbb $18, $3
lodsq
sbb $19, %rax
stosq
lodsq
sbb $20, %rax
stosq
lodsq
sbb $21, %rax
stosq
lodsq
sbb $22, %rax
stosq
setb %al
"
: "=r"(result[0]), "=r"(result[1]), "=r"(result[2]), "=r"(result[3]),
"={al}"(overflow) /* $0 - $4 */
: "{rdi}"(&result[4] as *const u64) /* $5 */
"{rsi}"(&self_t[4] as *const u64) /* $6 */
"0"(self_t[0]), "1"(self_t[1]), "2"(self_t[2]), "3"(self_t[3]),
"m"(self_t[4]), "m"(self_t[5]), "m"(self_t[6]), "m"(self_t[7]),
/* $7 - $14 */
"m"(other_t[0]), "m"(other_t[1]), "m"(other_t[2]), "m"(other_t[3]),
"m"(other_t[4]), "m"(other_t[5]), "m"(other_t[6]), "m"(other_t[7]) /* $15 - $22 */
: "rdi", "rsi"
:
);
}
(U512(result), overflow != 0)
});
($name:ident, $n_words: expr, $self_expr: expr, $other: expr) => ({
uint_overflowing_sub_reg!($name, $n_words, $self_expr, $other)
})
}
#[cfg(all(asm_available, target_arch="x86_64"))]
macro_rules! uint_overflowing_mul {
(U256, $n_words: expr, $self_expr: expr, $other: expr) => ({
let mut result: [u64; 4] = unsafe { mem::uninitialized() };
let self_t: &[u64; 4] = unsafe { &mem::transmute($self_expr) };
let other_t: &[u64; 4] = unsafe { &mem::transmute($other) };
let overflow: u64;
unsafe {
asm!("
mov $5, %rax
mulq $9
mov %rax, $0
mov %rdx, $1
mov $5, %rax
mulq $10
add %rax, $1
adc $$0, %rdx
mov %rdx, $2
mov $5, %rax
mulq $11
add %rax, $2
adc $$0, %rdx
mov %rdx, $3
mov $5, %rax
mulq $12
add %rax, $3
adc $$0, %rdx
mov %rdx, %rcx
mov $6, %rax
mulq $9
add %rax, $1
adc %rdx, $2
adc $$0, $3
adc $$0, %rcx
mov $6, %rax
mulq $10
add %rax, $2
adc %rdx, $3
adc $$0, %rcx
adc $$0, $3
adc $$0, %rcx
mov $6, %rax
mulq $11
add %rax, $3
adc $$0, %rdx
or %rdx, %rcx
mov $7, %rax
mulq $9
add %rax, $2
adc %rdx, $3
adc $$0, %rcx
mov $7, %rax
mulq $10
add %rax, $3
adc $$0, %rdx
or %rdx, %rcx
mov $8, %rax
mulq $9
add %rax, $3
or %rdx, %rcx
cmpq $$0, %rcx
jne 2f
mov $8, %rcx
jrcxz 12f
mov $12, %rcx
mov $11, %rax
or %rax, %rcx
mov $10, %rax
or %rax, %rcx
jmp 2f
12:
mov $12, %rcx
jrcxz 11f
mov $7, %rcx
mov $6, %rax
or %rax, %rcx
cmpq $$0, %rcx
jne 2f
11:
mov $11, %rcx
jrcxz 2f
mov $7, %rcx
2:
"
: /* $0 */ "={r8}"(result[0]), /* $1 */ "={r9}"(result[1]), /* $2 */ "={r10}"(result[2]),
/* $3 */ "={r11}"(result[3]), /* $4 */ "={rcx}"(overflow)
: /* $5 */ "m"(self_t[0]), /* $6 */ "m"(self_t[1]), /* $7 */ "m"(self_t[2]),
/* $8 */ "m"(self_t[3]), /* $9 */ "m"(other_t[0]), /* $10 */ "m"(other_t[1]),
/* $11 */ "m"(other_t[2]), /* $12 */ "m"(other_t[3])
: "rax", "rdx"
:
);
}
(U256(result), overflow > 0)
});
($name:ident, $n_words:expr, $self_expr: expr, $other: expr) => (
uint_overflowing_mul_reg!($name, $n_words, $self_expr, $other)
)
}
#[cfg(not(all(asm_available, target_arch="x86_64")))]
macro_rules! uint_overflowing_mul {
($name:ident, $n_words: expr, $self_expr: expr, $other: expr) => ({
uint_overflowing_mul_reg!($name, $n_words, $self_expr, $other)
})
}
macro_rules! uint_overflowing_mul_reg {
($name:ident, $n_words: expr, $self_expr: expr, $other: expr) => ({
let $name(ref me) = $self_expr;
let $name(ref you) = $other;
let mut ret = [0u64; 2*$n_words];
for i in 0..$n_words {
if you[i] == 0 {
continue;
}
let mut carry2 = 0u64;
let (b_u, b_l) = split(you[i]);
for j in 0..$n_words {
if me[j] == 0 && carry2 == 0 {
continue;
}
let a = split(me[j]);
// multiply parts
let (c_l, overflow_l) = mul_u32(a, b_l, ret[i + j]);
let (c_u, overflow_u) = mul_u32(a, b_u, c_l >> 32);
ret[i + j] = (c_l & 0xFFFFFFFF) + (c_u << 32);
// Only single overflow possible here
let carry = (c_u >> 32) + (overflow_u << 32) + overflow_l + carry2;
let (carry, o) = carry.overflowing_add(ret[i + j + 1]);
ret[i + j + 1] = carry;
carry2 = o as u64;
}
}
let mut res = [0u64; $n_words];
let mut overflow = false;
for i in 0..$n_words {
res[i] = ret[i];
}
for i in $n_words..2*$n_words {
overflow |= ret[i] != 0;
}
($name(res), overflow)
})
}
macro_rules! overflowing {
($op: expr, $overflow: expr) => (
{
let (overflow_x, overflow_overflow) = $op;
$overflow |= overflow_overflow;
overflow_x
}
);
($op: expr) => (
{
let (overflow_x, _overflow_overflow) = $op;
overflow_x
}
);
}
macro_rules! panic_on_overflow {
($name: expr) => {
if $name {
panic!("arithmetic operation overflow")
}
}
}
#[inline(always)]
fn mul_u32(a: (u64, u64), b: u64, carry: u64) -> (u64, u64) {
let upper = b * a.0;
let lower = b * a.1;
let (res1, overflow1) = lower.overflowing_add(upper << 32);
let (res2, overflow2) = res1.overflowing_add(carry);
let carry = (upper >> 32) + overflow1 as u64 + overflow2 as u64;
(res2, carry)
}
#[inline(always)]
fn split(a: u64) -> (u64, u64) {
(a >> 32, a & 0xFFFFFFFF)
}
/// Large, fixed-length unsigned integer type.
pub trait Uint: Sized + Default + FromStr + From<u64> + fmt::Debug + fmt::Display + PartialOrd + Ord + PartialEq + Eq + Hash {
/// Returns new instance equalling zero.
fn zero() -> Self;
/// Returns new instance equalling one.
fn one() -> Self;
/// Returns the largest value that can be represented by this integer type.
fn max_value() -> Self;
/// Error type for converting from a decimal string.
type FromDecStrErr;
/// Convert from a decimal string.
fn from_dec_str(value: &str) -> Result<Self, Self::FromDecStrErr>;
/// Conversion to u32
fn low_u32(&self) -> u32;
/// Conversion to u64
fn low_u64(&self) -> u64;
/// Conversion to u32 with overflow checking
fn as_u32(&self) -> u32;
/// Conversion to u64 with overflow checking
fn as_u64(&self) -> u64;
/// Return the least number of bits needed to represent the number
fn bits(&self) -> usize;
/// Return if specific bit is set
fn bit(&self, index: usize) -> bool;
/// Return single byte
fn byte(&self, index: usize) -> u8;
/// Get this Uint as slice of bytes
fn to_bytes(&self, bytes: &mut[u8]);
/// Create `Uint(10**n)`
fn exp10(n: usize) -> Self;
/// Return eponentation `self**other`. Panic on overflow.
fn pow(self, other: Self) -> Self;
/// Return wrapped eponentation `self**other` and flag if there was an overflow
fn overflowing_pow(self, other: Self) -> (Self, bool);
/// Add this `Uint` to other returning result and possible overflow
fn overflowing_add(self, other: Self) -> (Self, bool);
/// Subtract another `Uint` from this returning result and possible overflow
fn overflowing_sub(self, other: Self) -> (Self, bool);
/// Multiple this `Uint` with other returning result and possible overflow
fn overflowing_mul(self, other: Self) -> (Self, bool);
/// Divide this `Uint` by other returning result and possible overflow
fn overflowing_div(self, other: Self) -> (Self, bool);
/// Returns reminder of division of this `Uint` by other and possible overflow
fn overflowing_rem(self, other: Self) -> (Self, bool);
/// Returns negation of this `Uint` and overflow (always true)
fn overflowing_neg(self) -> (Self, bool);
}
macro_rules! construct_uint {
($name:ident, $n_words:expr) => (
/// Little-endian large integer type
#[derive(Copy, Clone, Eq, PartialEq)]
pub struct $name(pub [u64; $n_words]);
impl Uint for $name {
type FromDecStrErr = FromHexError;
/// TODO: optimize, throw appropriate err
fn from_dec_str(value: &str) -> Result<Self, Self::FromDecStrErr> {
Ok(value.bytes()
.map(|b| b - 48)
.fold($name::from(0u64), | acc, c |
// fast multiplication by 10
// (acc << 3) + (acc << 1) => acc * 10
(acc << 3) + (acc << 1) + $name::from(c)
))
}
#[inline]
fn low_u32(&self) -> u32 {
let &$name(ref arr) = self;
arr[0] as u32
}
#[inline]
fn low_u64(&self) -> u64 {
let &$name(ref arr) = self;
arr[0]
}
/// Conversion to u32 with overflow checking
#[inline]
fn as_u32(&self) -> u32 {
let &$name(ref arr) = self;
if (arr[0] & (0xffffffffu64 << 32)) != 0 {
panic!("Integer overflow when casting U256")
}
self.as_u64() as u32
}
/// Conversion to u64 with overflow checking
#[inline]
fn as_u64(&self) -> u64 {
let &$name(ref arr) = self;
for i in 1..$n_words {
if arr[i] != 0 {
panic!("Integer overflow when casting U256")
}
}
arr[0]
}
/// Return the least number of bits needed to represent the number
#[inline]
fn bits(&self) -> usize {
let &$name(ref arr) = self;
for i in 1..$n_words {
if arr[$n_words - i] > 0 { return (0x40 * ($n_words - i + 1)) - arr[$n_words - i].leading_zeros() as usize; }
}
0x40 - arr[0].leading_zeros() as usize
}
#[inline]
fn bit(&self, index: usize) -> bool {
let &$name(ref arr) = self;
arr[index / 64] & (1 << (index % 64)) != 0
}
#[inline]
fn byte(&self, index: usize) -> u8 {
let &$name(ref arr) = self;
(arr[index / 8] >> (((index % 8)) * 8)) as u8
}
fn to_bytes(&self, bytes: &mut[u8]) {
assert!($n_words * 8 == bytes.len());
let &$name(ref arr) = self;
for i in 0..bytes.len() {
let rev = bytes.len() - 1 - i;
let pos = rev / 8;
bytes[i] = (arr[pos] >> ((rev % 8) * 8)) as u8;
}
}
#[inline]
fn exp10(n: usize) -> Self {
match n {
0 => Self::from(1u64),
_ => Self::exp10(n - 1) * Self::from(10u64)
}
}
#[inline]
fn zero() -> Self {
From::from(0u64)
}
#[inline]
fn one() -> Self {
From::from(1u64)
}
#[inline]
fn max_value() -> Self {
let mut result = [0; $n_words];
for i in 0..$n_words {
result[i] = u64::max_value();
}
$name(result)
}
/// Fast exponentation by squaring
/// https://en.wikipedia.org/wiki/Exponentiation_by_squaring
fn pow(self, expon: Self) -> Self {
if expon == Self::zero() {
return Self::one()
}
let is_even = |x : &Self| x.low_u64() & 1 == 0;
let u_one = Self::one();
let u_two = Self::from(2);
let mut y = u_one;
let mut n = expon;
let mut x = self;
while n > u_one {
if is_even(&n) {
x = x * x;
n = n / u_two;
} else {
y = x * y;
x = x * x;
n = (n - u_one) / u_two;
}
}
x * y
}
/// Fast exponentation by squaring
/// https://en.wikipedia.org/wiki/Exponentiation_by_squaring
fn overflowing_pow(self, expon: Self) -> (Self, bool) {
if expon == Self::zero() {
return (Self::one(), false)
}
let is_even = |x : &Self| x.low_u64() & 1 == 0;
let u_one = Self::one();
let u_two = Self::from(2);
let mut y = u_one;
let mut n = expon;
let mut x = self;
let mut overflow = false;
while n > u_one {
if is_even(&n) {
x = overflowing!(x.overflowing_mul(x), overflow);
n = n / u_two;
} else {
y = overflowing!(x.overflowing_mul(y), overflow);
x = overflowing!(x.overflowing_mul(x), overflow);
n = (n - u_one) / u_two;
}
}
let res = overflowing!(x.overflowing_mul(y), overflow);
(res, overflow)
}
/// Optimized instructions
#[inline(always)]
fn overflowing_add(self, other: $name) -> ($name, bool) {
uint_overflowing_add!($name, $n_words, self, other)
}
#[inline(always)]
fn overflowing_sub(self, other: $name) -> ($name, bool) {
uint_overflowing_sub!($name, $n_words, self, other)
}
#[inline(always)]
fn overflowing_mul(self, other: $name) -> ($name, bool) {
uint_overflowing_mul!($name, $n_words, self, other)
}
fn overflowing_div(self, other: $name) -> ($name, bool) {
(self / other, false)
}
fn overflowing_rem(self, other: $name) -> ($name, bool) {
(self % other, false)
}
fn overflowing_neg(self) -> ($name, bool) {
(!self, true)
}
}
impl $name {
#[allow(dead_code)] // not used when multiplied with inline assembly
/// Multiplication by u32
fn mul_u32(self, other: u32) -> Self {
let (ret, overflow) = self.overflowing_mul_u32(other);
panic_on_overflow!(overflow);
ret
}
#[allow(dead_code)] // not used when multiplied with inline assembly
/// Overflowing multiplication by u32
fn overflowing_mul_u32(self, other: u32) -> (Self, bool) {
let $name(ref arr) = self;
let mut ret = [0u64; $n_words];
let mut carry = 0;
let o = other as u64;
for i in 0..$n_words {
let (res, carry2) = mul_u32(split(arr[i]), o, carry);
ret[i] = res;
carry = carry2;
}
($name(ret), carry > 0)
}
}
impl Default for $name {
fn default() -> Self {
$name::zero()
}
}
impl serde::Serialize for $name {
fn serialize<S>(&self, serializer: &mut S) -> Result<(), S::Error>
where S: serde::Serializer {
let mut hex = "0x".to_owned();
let mut bytes = [0u8; 8 * $n_words];
self.to_bytes(&mut bytes);
let len = cmp::max((self.bits() + 7) / 8, 1);
hex.push_str(bytes[bytes.len() - len..].to_hex().as_ref());
serializer.serialize_str(hex.as_ref())
}
}
impl serde::Deserialize for $name {
fn deserialize<D>(deserializer: &mut D) -> Result<$name, D::Error>
where D: serde::Deserializer {
struct UintVisitor;
impl serde::de::Visitor for UintVisitor {
type Value = $name;
fn visit_str<E>(&mut self, value: &str) -> Result<Self::Value, E> where E: serde::Error {
// 0x + len
if value.len() > 2 + $n_words * 16 {
return Err(serde::Error::custom("Invalid length."));
}
$name::from_str(&value[2..]).map_err(|_| serde::Error::custom("Invalid hex value."))
}
fn visit_string<E>(&mut self, value: String) -> Result<Self::Value, E> where E: serde::Error {
self.visit_str(value.as_ref())
}
}
deserializer.deserialize(UintVisitor)
}
}
impl From<u64> for $name {
fn from(value: u64) -> $name {
let mut ret = [0; $n_words];
ret[0] = value;
$name(ret)
}
}
impl_map_from!($name, u8, u64);
impl_map_from!($name, u16, u64);
impl_map_from!($name, u32, u64);
impl_map_from!($name, usize, u64);
impl From<i64> for $name {
fn from(value: i64) -> $name {
match value >= 0 {
true => From::from(value as u64),
false => { panic!("Unsigned integer can't be created from negative value"); }
}
}
}
impl_map_from!($name, i8, i64);
impl_map_from!($name, i16, i64);
impl_map_from!($name, i32, i64);
impl_map_from!($name, isize, i64);
impl<'a> From<&'a [u8]> for $name {
fn from(bytes: &[u8]) -> $name {
assert!($n_words * 8 >= bytes.len());
let mut ret = [0; $n_words];
for i in 0..bytes.len() {
let rev = bytes.len() - 1 - i;
let pos = rev / 8;
ret[pos] += (bytes[i] as u64) << ((rev % 8) * 8);
}
$name(ret)
}
}
impl FromStr for $name {
type Err = FromHexError;
fn from_str(value: &str) -> Result<$name, Self::Err> {
let bytes: Vec<u8> = match value.len() % 2 == 0 {
true => try!(value.from_hex()),
false => try!(("0".to_owned() + value).from_hex())
};
let bytes_ref: &[u8] = &bytes;
Ok(From::from(bytes_ref))
}
}
impl Add<$name> for $name {
type Output = $name;
fn add(self, other: $name) -> $name {
let (result, overflow) = self.overflowing_add(other);
panic_on_overflow!(overflow);
result
}
}
impl Sub<$name> for $name {
type Output = $name;
#[inline]
fn sub(self, other: $name) -> $name {
let (result, overflow) = self.overflowing_sub(other);
panic_on_overflow!(overflow);
result
}
}
impl Mul<$name> for $name {
type Output = $name;
fn mul(self, other: $name) -> $name {
let (result, overflow) = self.overflowing_mul(other);
panic_on_overflow!(overflow);
result
}
}
impl Div<$name> for $name {
type Output = $name;
fn div(self, other: $name) -> $name {
let mut sub_copy = self;
let mut shift_copy = other;
let mut ret = [0u64; $n_words];
let my_bits = self.bits();
let your_bits = other.bits();
// Check for division by 0
assert!(your_bits != 0);
// Early return in case we are dividing by a larger number than us
if my_bits < your_bits {
return $name(ret);
}
// Bitwise long division
let mut shift = my_bits - your_bits;
shift_copy = shift_copy << shift;
loop {
if sub_copy >= shift_copy {
ret[shift / 64] |= 1 << (shift % 64);
sub_copy = overflowing!(sub_copy.overflowing_sub(shift_copy));
}
shift_copy = shift_copy >> 1;
if shift == 0 { break; }
shift -= 1;
}
$name(ret)
}
}
impl Rem<$name> for $name {
type Output = $name;
fn rem(self, other: $name) -> $name {
let times = self / other;
self - (times * other)
}
}
// TODO: optimise and traitify.
impl BitAnd<$name> for $name {
type Output = $name;
#[inline]
fn bitand(self, other: $name) -> $name {
let $name(ref arr1) = self;
let $name(ref arr2) = other;
let mut ret = [0u64; $n_words];
for i in 0..$n_words {
ret[i] = arr1[i] & arr2[i];
}
$name(ret)
}
}
impl BitXor<$name> for $name {
type Output = $name;
#[inline]
fn bitxor(self, other: $name) -> $name {
let $name(ref arr1) = self;
let $name(ref arr2) = other;
let mut ret = [0u64; $n_words];
for i in 0..$n_words {
ret[i] = arr1[i] ^ arr2[i];
}
$name(ret)
}
}
impl BitOr<$name> for $name {
type Output = $name;
#[inline]
fn bitor(self, other: $name) -> $name {
let $name(ref arr1) = self;
let $name(ref arr2) = other;
let mut ret = [0u64; $n_words];
for i in 0..$n_words {
ret[i] = arr1[i] | arr2[i];
}
$name(ret)
}
}
impl Not for $name {
type Output = $name;
#[inline]
fn not(self) -> $name {
let $name(ref arr) = self;
let mut ret = [0u64; $n_words];
for i in 0..$n_words {
ret[i] = !arr[i];
}
$name(ret)
}
}
impl Shl<usize> for $name {
type Output = $name;
fn shl(self, shift: usize) -> $name {
let $name(ref original) = self;
let mut ret = [0u64; $n_words];
let word_shift = shift / 64;
let bit_shift = shift % 64;
// shift
for i in word_shift..$n_words {
ret[i] += original[i - word_shift] << bit_shift;
}
// carry
if bit_shift > 0 {
for i in word_shift+1..$n_words {
ret[i] += original[i - 1 - word_shift] >> (64 - bit_shift);
}
}
$name(ret)
}
}
impl Shr<usize> for $name {
type Output = $name;
fn shr(self, shift: usize) -> $name {
let $name(ref original) = self;
let mut ret = [0u64; $n_words];
let word_shift = shift / 64;
let bit_shift = shift % 64;
for i in word_shift..$n_words {
// Shift
ret[i - word_shift] += original[i] >> bit_shift;
// Carry
if bit_shift > 0 && i < $n_words - 1 {
ret[i - word_shift] += original[i + 1] << (64 - bit_shift);
}
}
$name(ret)
}
}
impl Ord for $name {
fn cmp(&self, other: &$name) -> Ordering {
let &$name(ref me) = self;
let &$name(ref you) = other;
let mut i = $n_words;
while i > 0 {
i -= 1;
if me[i] < you[i] { return Ordering::Less; }
if me[i] > you[i] { return Ordering::Greater; }
}
Ordering::Equal
}
}
impl PartialOrd for $name {
fn partial_cmp(&self, other: &$name) -> Option<Ordering> {
Some(self.cmp(other))
}
}
impl fmt::Debug for $name {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
fmt::Display::fmt(self, f)
}
}
impl fmt::Display for $name {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
if *self == $name::zero() {
return write!(f, "0");
}
let mut s = String::new();
let mut current = *self;
let ten = $name::from(10);
while current != $name::zero() {
s = format!("{}{}", (current % ten).low_u32(), s);
current = current / ten;
}
write!(f, "{}", s)
}
}
impl fmt::LowerHex for $name {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
let &$name(ref data) = self;
try!(write!(f, "0x"));
let mut latch = false;
for ch in data.iter().rev() {
for x in 0..16 {
let nibble = (ch & (15u64 << ((15 - x) * 4) as u64)) >> (((15 - x) * 4) as u64);
if !latch { latch = nibble != 0 }
if latch {
try!(write!(f, "{:x}", nibble));
}
}
}
Ok(())
}
}
#[cfg_attr(feature="dev", allow(derive_hash_xor_eq))] // We are pretty sure it's ok.
impl Hash for $name {
fn hash<H>(&self, state: &mut H) where H: Hasher {
unsafe { state.write(::std::slice::from_raw_parts(self.0.as_ptr() as *mut u8, self.0.len() * 8)); }
state.finish();
}
}
);
}
construct_uint!(U512, 8);
construct_uint!(U256, 4);
construct_uint!(U128, 2);
impl U256 {
/// Multiplies two 256-bit integers to produce full 512-bit integer
/// No overflow possible
#[cfg(all(asm_available, target_arch="x86_64"))]
pub fn full_mul(self, other: U256) -> U512 {
let self_t: &[u64; 4] = unsafe { &mem::transmute(self) };
let other_t: &[u64; 4] = unsafe { &mem::transmute(other) };
let mut result: [u64; 8] = unsafe { mem::uninitialized() };
unsafe {
asm!("
mov $8, %rax
mulq $12
mov %rax, $0
mov %rdx, $1
mov $8, %rax
mulq $13
add %rax, $1
adc $$0, %rdx
mov %rdx, $2
mov $8, %rax
mulq $14
add %rax, $2
adc $$0, %rdx
mov %rdx, $3
mov $8, %rax
mulq $15
add %rax, $3
adc $$0, %rdx
mov %rdx, $4
mov $9, %rax
mulq $12
add %rax, $1
adc %rdx, $2
adc $$0, $3
adc $$0, $4
xor $5, $5
adc $$0, $5
xor $6, $6
adc $$0, $6
xor $7, $7
adc $$0, $7
mov $9, %rax
mulq $13
add %rax, $2
adc %rdx, $3
adc $$0, $4
adc $$0, $5
adc $$0, $6
adc $$0, $7
mov $9, %rax
mulq $14
add %rax, $3
adc %rdx, $4
adc $$0, $5
adc $$0, $6
adc $$0, $7
mov $9, %rax
mulq $15
add %rax, $4
adc %rdx, $5
adc $$0, $6
adc $$0, $7
mov $10, %rax
mulq $12
add %rax, $2
adc %rdx, $3
adc $$0, $4
adc $$0, $5
adc $$0, $6
adc $$0, $7
mov $10, %rax
mulq $13
add %rax, $3
adc %rdx, $4
adc $$0, $5
adc $$0, $6
adc $$0, $7
mov $10, %rax
mulq $14
add %rax, $4
adc %rdx, $5
adc $$0, $6
adc $$0, $7
mov $10, %rax
mulq $15
add %rax, $5
adc %rdx, $6
adc $$0, $7
mov $11, %rax
mulq $12
add %rax, $3
adc %rdx, $4
adc $$0, $5
adc $$0, $6
adc $$0, $7
mov $11, %rax
mulq $13
add %rax, $4
adc %rdx, $5
adc $$0, $6
adc $$0, $7
mov $11, %rax
mulq $14
add %rax, $5
adc %rdx, $6
adc $$0, $7
mov $11, %rax
mulq $15
add %rax, $6
adc %rdx, $7
"
: /* $0 */ "={r8}"(result[0]), /* $1 */ "={r9}"(result[1]), /* $2 */ "={r10}"(result[2]),
/* $3 */ "={r11}"(result[3]), /* $4 */ "={r12}"(result[4]), /* $5 */ "={r13}"(result[5]),
/* $6 */ "={r14}"(result[6]), /* $7 */ "={r15}"(result[7])
: /* $8 */ "m"(self_t[0]), /* $9 */ "m"(self_t[1]), /* $10 */ "m"(self_t[2]),
/* $11 */ "m"(self_t[3]), /* $12 */ "m"(other_t[0]), /* $13 */ "m"(other_t[1]),
/* $14 */ "m"(other_t[2]), /* $15 */ "m"(other_t[3])
: "rax", "rdx"
:
);
}
U512(result)
}
/// Multiplies two 256-bit integers to produce full 512-bit integer
/// No overflow possible
#[cfg(not(all(asm_available, target_arch="x86_64")))]
pub fn full_mul(self, other: U256) -> U512 {
let U256(ref me) = self;
let U256(ref you) = other;
let mut ret = [0u64; 8];
for i in 0..4 {
if you[i] == 0 {
continue;
}
let mut carry2 = 0u64;
let (b_u, b_l) = split(you[i]);
for j in 0..4 {
if me[j] == 0 && carry2 == 0 {
continue;
}
let a = split(me[j]);
// multiply parts
let (c_l, overflow_l) = mul_u32(a, b_l, ret[i + j]);
let (c_u, overflow_u) = mul_u32(a, b_u, c_l >> 32);
ret[i + j] = (c_l & 0xFFFFFFFF) + (c_u << 32);
// Only single overflow possible here
let carry = (c_u >> 32) + (overflow_u << 32) + overflow_l + carry2;
let (carry, o) = carry.overflowing_add(ret[i + j + 1]);
ret[i + j + 1] = carry;
carry2 = o as u64;
}
}
U512(ret)
}
}
impl From<U256> for U512 {
fn from(value: U256) -> U512 {
let U256(ref arr) = value;
let mut ret = [0; 8];
ret[0] = arr[0];
ret[1] = arr[1];
ret[2] = arr[2];
ret[3] = arr[3];
U512(ret)
}
}
impl From<U512> for U256 {
fn from(value: U512) -> U256 {
let U512(ref arr) = value;
if arr[4] | arr[5] | arr[6] | arr[7] != 0 {
panic!("Overflow");
}
let mut ret = [0; 4];
ret[0] = arr[0];
ret[1] = arr[1];
ret[2] = arr[2];
ret[3] = arr[3];
U256(ret)
}
}
impl<'a> From<&'a U256> for U512 {
fn from(value: &'a U256) -> U512 {
let U256(ref arr) = *value;
let mut ret = [0; 8];
ret[0] = arr[0];
ret[1] = arr[1];
ret[2] = arr[2];
ret[3] = arr[3];
U512(ret)
}
}
impl<'a> From<&'a U512> for U256 {
fn from(value: &'a U512) -> U256 {
let U512(ref arr) = *value;
if arr[4] | arr[5] | arr[6] | arr[7] != 0 {
panic!("Overflow");
}
let mut ret = [0; 4];
ret[0] = arr[0];
ret[1] = arr[1];
ret[2] = arr[2];
ret[3] = arr[3];
U256(ret)
}
}
impl From<U256> for U128 {
fn from(value: U256) -> U128 {
let U256(ref arr) = value;
if arr[2] | arr[3] != 0 {
panic!("Overflow");
}
let mut ret = [0; 2];
ret[0] = arr[0];
ret[1] = arr[1];
U128(ret)
}
}
impl From<U512> for U128 {
fn from(value: U512) -> U128 {
let U512(ref arr) = value;
if arr[2] | arr[3] | arr[4] | arr[5] | arr[6] | arr[7] != 0 {
panic!("Overflow");
}
let mut ret = [0; 2];
ret[0] = arr[0];
ret[1] = arr[1];
U128(ret)
}
}
impl From<U128> for U512 {
fn from(value: U128) -> U512 {
let U128(ref arr) = value;
let mut ret = [0; 8];
ret[0] = arr[0];
ret[1] = arr[1];
U512(ret)
}
}
impl From<U128> for U256 {
fn from(value: U128) -> U256 {
let U128(ref arr) = value;
let mut ret = [0; 4];
ret[0] = arr[0];
ret[1] = arr[1];
U256(ret)
}
}
impl From<U256> for u64 {
fn from(value: U256) -> u64 {
value.as_u64()
}
}
impl From<U256> for u32 {
fn from(value: U256) -> u32 {
value.as_u32()
}
}
/// Constant value of `U256::zero()` that can be used for a reference saving an additional instance creation.
pub const ZERO_U256: U256 = U256([0x00u64; 4]);
/// Constant value of `U256::one()` that can be used for a reference saving an additional instance creation.
pub const ONE_U256: U256 = U256([0x01u64, 0x00u64, 0x00u64, 0x00u64]);
known_heap_size!(0, U128, U256);
#[cfg(test)]
mod tests {
use uint::{Uint, U128, U256, U512};
use std::str::FromStr;
#[test]
pub fn uint256_from() {
let e = U256([10, 0, 0, 0]);
// test unsigned initialization
let ua = U256::from(10u8);
let ub = U256::from(10u16);
let uc = U256::from(10u32);
let ud = U256::from(10u64);
assert_eq!(e, ua);
assert_eq!(e, ub);
assert_eq!(e, uc);
assert_eq!(e, ud);
// test initialization from bytes
let va = U256::from(&[10u8][..]);
assert_eq!(e, va);
// more tests for initialization from bytes
assert_eq!(U256([0x1010, 0, 0, 0]), U256::from(&[0x10u8, 0x10][..]));
assert_eq!(U256([0x12f0, 0, 0, 0]), U256::from(&[0x12u8, 0xf0][..]));
assert_eq!(U256([0x12f0, 0, 0, 0]), U256::from(&[0, 0x12u8, 0xf0][..]));
assert_eq!(U256([0x12f0, 0 , 0, 0]), U256::from(&[0, 0, 0, 0, 0, 0, 0, 0x12u8, 0xf0][..]));
assert_eq!(U256([0x12f0, 1 , 0, 0]), U256::from(&[1, 0, 0, 0, 0, 0, 0, 0x12u8, 0xf0][..]));
assert_eq!(U256([0x12f0, 1 , 0x0910203040506077, 0x8090a0b0c0d0e0f0]), U256::from(&[
0x80, 0x90, 0xa0, 0xb0, 0xc0, 0xd0, 0xe0, 0xf0,
0x09, 0x10, 0x20, 0x30, 0x40, 0x50, 0x60, 0x77,
0, 0, 0, 0, 0, 0, 0, 1,
0, 0, 0, 0, 0, 0, 0x12u8, 0xf0][..]));
assert_eq!(U256([0x00192437100019fa, 0x243710, 0, 0]), U256::from(&[
0x24u8, 0x37, 0x10,
0, 0x19, 0x24, 0x37, 0x10, 0, 0x19, 0xfa][..]));
// test initializtion from string
let sa = U256::from_str("0a").unwrap();
assert_eq!(e, sa);
assert_eq!(U256([0x1010, 0, 0, 0]), U256::from_str("1010").unwrap());
assert_eq!(U256([0x12f0, 0, 0, 0]), U256::from_str("12f0").unwrap());
assert_eq!(U256([0x12f0, 0, 0, 0]), U256::from_str("12f0").unwrap());
assert_eq!(U256([0x12f0, 0 , 0, 0]), U256::from_str("0000000012f0").unwrap());
assert_eq!(U256([0x12f0, 1 , 0, 0]), U256::from_str("0100000000000012f0").unwrap());
assert_eq!(U256([0x12f0, 1 , 0x0910203040506077, 0x8090a0b0c0d0e0f0]), U256::from_str("8090a0b0c0d0e0f00910203040506077000000000000000100000000000012f0").unwrap());
}
#[test]
pub fn uint256_to() {
let hex = "8090a0b0c0d0e0f00910203040506077583a2cf8264910e1436bda32571012f0";
let uint = U256::from_str(hex).unwrap();
let mut bytes = [0u8; 32];
uint.to_bytes(&mut bytes);
let uint2 = U256::from(&bytes[..]);
assert_eq!(uint, uint2);
}
#[test]
pub fn uint256_bits_test() {
assert_eq!(U256::from(0u64).bits(), 0);
assert_eq!(U256::from(255u64).bits(), 8);
assert_eq!(U256::from(256u64).bits(), 9);
assert_eq!(U256::from(300u64).bits(), 9);
assert_eq!(U256::from(60000u64).bits(), 16);
assert_eq!(U256::from(70000u64).bits(), 17);
//// Try to read the following lines out loud quickly
let mut shl = U256::from(70000u64);
shl = shl << 100;
assert_eq!(shl.bits(), 117);
shl = shl << 100;
assert_eq!(shl.bits(), 217);
shl = shl << 100;
assert_eq!(shl.bits(), 0);
//// Bit set check
//// 01010
assert!(!U256::from(10u8).bit(0));
assert!(U256::from(10u8).bit(1));
assert!(!U256::from(10u8).bit(2));
assert!(U256::from(10u8).bit(3));
assert!(!U256::from(10u8).bit(4));
//// byte check
assert_eq!(U256::from(10u8).byte(0), 10);
assert_eq!(U256::from(0xffu64).byte(0), 0xff);
assert_eq!(U256::from(0xffu64).byte(1), 0);
assert_eq!(U256::from(0x01ffu64).byte(0), 0xff);
assert_eq!(U256::from(0x01ffu64).byte(1), 0x1);
assert_eq!(U256([0u64, 0xfc, 0, 0]).byte(8), 0xfc);
assert_eq!(U256([0u64, 0, 0, u64::max_value()]).byte(31), 0xff);
assert_eq!(U256([0u64, 0, 0, (u64::max_value() >> 8) + 1]).byte(31), 0x01);
}
#[test]
#[cfg_attr(feature="dev", allow(eq_op))]
pub fn uint256_comp_test() {
let small = U256([10u64, 0, 0, 0]);
let big = U256([0x8C8C3EE70C644118u64, 0x0209E7378231E632, 0, 0]);
let bigger = U256([0x9C8C3EE70C644118u64, 0x0209E7378231E632, 0, 0]);
let biggest = U256([0x5C8C3EE70C644118u64, 0x0209E7378231E632, 0, 1]);
assert!(small < big);
assert!(big < bigger);
assert!(bigger < biggest);
assert!(bigger <= biggest);
assert!(biggest <= biggest);
assert!(bigger >= big);
assert!(bigger >= small);
assert!(small <= small);
}
#[test]
pub fn uint256_arithmetic_test() {
let init = U256::from(0xDEADBEEFDEADBEEFu64);
let copy = init;
let add = init + copy;
assert_eq!(add, U256([0xBD5B7DDFBD5B7DDEu64, 1, 0, 0]));
// Bitshifts
let shl = add << 88;
assert_eq!(shl, U256([0u64, 0xDFBD5B7DDE000000, 0x1BD5B7D, 0]));
let shr = shl >> 40;
assert_eq!(shr, U256([0x7DDE000000000000u64, 0x0001BD5B7DDFBD5B, 0, 0]));
// Increment
let incr = shr + U256::from(1u64);
assert_eq!(incr, U256([0x7DDE000000000001u64, 0x0001BD5B7DDFBD5B, 0, 0]));
// Subtraction
let sub = overflowing!(incr.overflowing_sub(init));
assert_eq!(sub, U256([0x9F30411021524112u64, 0x0001BD5B7DDFBD5A, 0, 0]));
// Multiplication
let mult = sub.mul_u32(300);
assert_eq!(mult, U256([0x8C8C3EE70C644118u64, 0x0209E7378231E632, 0, 0]));
// Division
assert_eq!(U256::from(105u8) / U256::from(5u8), U256::from(21u8));
let div = mult / U256::from(300u16);
assert_eq!(div, U256([0x9F30411021524112u64, 0x0001BD5B7DDFBD5A, 0, 0]));
//// TODO: bit inversion
}
#[test]
pub fn uint256_simple_mul() {
let a = U256::from_str("10000000000000000").unwrap();
let b = U256::from_str("10000000000000000").unwrap();
let c = U256::from_str("100000000000000000000000000000000").unwrap();
println!("Multiplying");
let result = a.overflowing_mul(b);
println!("Got result");
assert_eq!(result, (c, false))
}
#[test]
pub fn uint256_extreme_bitshift_test() {
//// Shifting a u64 by 64 bits gives an undefined value, so make sure that
//// we're doing the Right Thing here
let init = U256::from(0xDEADBEEFDEADBEEFu64);
assert_eq!(init << 64, U256([0, 0xDEADBEEFDEADBEEF, 0, 0]));
let add = (init << 64) + init;
assert_eq!(add, U256([0xDEADBEEFDEADBEEF, 0xDEADBEEFDEADBEEF, 0, 0]));
assert_eq!(add >> 0, U256([0xDEADBEEFDEADBEEF, 0xDEADBEEFDEADBEEF, 0, 0]));
assert_eq!(add << 0, U256([0xDEADBEEFDEADBEEF, 0xDEADBEEFDEADBEEF, 0, 0]));
assert_eq!(add >> 64, U256([0xDEADBEEFDEADBEEF, 0, 0, 0]));
assert_eq!(add << 64, U256([0, 0xDEADBEEFDEADBEEF, 0xDEADBEEFDEADBEEF, 0]));
}
#[test]
pub fn uint256_exp10() {
assert_eq!(U256::exp10(0), U256::from(1u64));
println!("\none: {:?}", U256::from(1u64));
println!("ten: {:?}", U256::from(10u64));
assert_eq!(U256::from(2u64) * U256::from(10u64), U256::from(20u64));
assert_eq!(U256::exp10(1), U256::from(10u64));
assert_eq!(U256::exp10(2), U256::from(100u64));
assert_eq!(U256::exp10(5), U256::from(100000u64));
}
#[test]
pub fn uint256_mul32() {
assert_eq!(U256::from(0u64).mul_u32(2), U256::from(0u64));
assert_eq!(U256::from(1u64).mul_u32(2), U256::from(2u64));
assert_eq!(U256::from(10u64).mul_u32(2), U256::from(20u64));
assert_eq!(U256::from(10u64).mul_u32(5), U256::from(50u64));
assert_eq!(U256::from(1000u64).mul_u32(50), U256::from(50000u64));
}
#[test]
fn uint256_pow () {
assert_eq!(U256::from(10).pow(U256::from(0)), U256::from(1));
assert_eq!(U256::from(10).pow(U256::from(1)), U256::from(10));
assert_eq!(U256::from(10).pow(U256::from(2)), U256::from(100));
assert_eq!(U256::from(10).pow(U256::from(3)), U256::from(1000));
assert_eq!(U256::from(10).pow(U256::from(20)), U256::exp10(20));
}
#[test]
#[should_panic]
fn uint256_pow_overflow_panic () {
U256::from(2).pow(U256::from(0x100));
}
#[test]
fn uint256_overflowing_pow () {
// assert_eq!(
// U256::from(2).overflowing_pow(U256::from(0xff)),
// (U256::from_str("8000000000000000000000000000000000000000000000000000000000000000").unwrap(), false)
// );
assert_eq!(
U256::from(2).overflowing_pow(U256::from(0x100)),
(U256::zero(), true)
);
}
#[test]
pub fn uint256_mul1() {
assert_eq!(U256::from(1u64) * U256::from(10u64), U256::from(10u64));
}
#[test]
pub fn uint256_mul2() {
let a = U512::from_str("10000000000000000fffffffffffffffe").unwrap();
let b = U512::from_str("ffffffffffffffffffffffffffffffff").unwrap();
assert_eq!(a * b, U512::from_str("10000000000000000fffffffffffffffcffffffffffffffff0000000000000002").unwrap());
}
#[test]
pub fn uint256_overflowing_mul() {
assert_eq!(
U256::from_str("100000000000000000000000000000000").unwrap().overflowing_mul(
U256::from_str("100000000000000000000000000000000").unwrap()
),
(U256::zero(), true)
);
}
#[test]
pub fn uint128_add() {
assert_eq!(
U128::from_str("fffffffffffffffff").unwrap() + U128::from_str("fffffffffffffffff").unwrap(),
U128::from_str("1ffffffffffffffffe").unwrap()
);
}
#[test]
pub fn uint128_add_overflow() {
assert_eq!(
U128::from_str("ffffffffffffffffffffffffffffffff").unwrap()
.overflowing_add(
U128::from_str("ffffffffffffffffffffffffffffffff").unwrap()
),
(U128::from_str("fffffffffffffffffffffffffffffffe").unwrap(), true)
);
}
#[test]
#[should_panic]
// overflows panic only in debug builds. Running this test with `--release` flag, always fails
#[ignore]
pub fn uint128_add_overflow_panic() {
U128::from_str("ffffffffffffffffffffffffffffffff").unwrap()
+
U128::from_str("ffffffffffffffffffffffffffffffff").unwrap();
}
#[test]
pub fn uint128_mul() {
assert_eq!(
U128::from_str("fffffffff").unwrap() * U128::from_str("fffffffff").unwrap(),
U128::from_str("ffffffffe000000001").unwrap());
}
#[test]
pub fn uint512_mul() {
assert_eq!(
U512::from_str("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff").unwrap()
*
U512::from_str("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff").unwrap(),
U512::from_str("3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff0000000000000000000000000000000000000000000000000000000000000001").unwrap()
);
}
#[test]
pub fn uint256_mul_overflow() {
assert_eq!(
U256::from_str("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff").unwrap()
.overflowing_mul(
U256::from_str("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff").unwrap()
),
(U256::from_str("1").unwrap(), true)
);
}
#[test]
#[should_panic]
pub fn uint256_mul_overflow_panic() {
U256::from_str("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff").unwrap()
*
U256::from_str("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff").unwrap();
}
#[test]
pub fn uint256_sub_overflow() {
assert_eq!(
U256::from_str("0").unwrap()
.overflowing_sub(
U256::from_str("1").unwrap()
),
(U256::from_str("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff").unwrap(), true)
);
}
#[test]
#[should_panic]
pub fn uint256_sub_overflow_panic() {
U256::from_str("0").unwrap()
-
U256::from_str("1").unwrap();
}
#[test]
pub fn uint256_shl() {
assert_eq!(
U256::from_str("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff").unwrap()
<< 4,
U256::from_str("fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff0").unwrap()
);
}
#[test]
pub fn uint256_shl_words() {
assert_eq!(
U256::from_str("0000000000000001ffffffffffffffffffffffffffffffffffffffffffffffff").unwrap()
<< 64,
U256::from_str("ffffffffffffffffffffffffffffffffffffffffffffffff0000000000000000").unwrap()
);
assert_eq!(
U256::from_str("0000000000000000ffffffffffffffffffffffffffffffffffffffffffffffff").unwrap()
<< 64,
U256::from_str("ffffffffffffffffffffffffffffffffffffffffffffffff0000000000000000").unwrap()
);
}
#[test]
pub fn uint256_mul() {
assert_eq!(
U256::from_str("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff").unwrap()
*
U256::from_str("2").unwrap(),
U256::from_str("fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe").unwrap()
);
}
#[test]
fn uint256_div() {
assert_eq!(U256::from(10u64) / U256::from(1u64), U256::from(10u64));
assert_eq!(U256::from(10u64) / U256::from(2u64), U256::from(5u64));
assert_eq!(U256::from(10u64) / U256::from(3u64), U256::from(3u64));
}
#[test]
fn uint256_rem() {
assert_eq!(U256::from(10u64) % U256::from(1u64), U256::from(0u64));
assert_eq!(U256::from(10u64) % U256::from(3u64), U256::from(1u64));
}
#[test]
fn uint256_from_dec_str() {
assert_eq!(U256::from_dec_str("10").unwrap(), U256::from(10u64));
assert_eq!(U256::from_dec_str("1024").unwrap(), U256::from(1024u64));
}
#[test]
fn display_uint() {
let s = "12345678987654321023456789";
assert_eq!(format!("{}", U256::from_dec_str(s).unwrap()), s);
}
#[test]
fn display_uint_zero() {
assert_eq!(format!("{}", U256::from(0)), "0");
}
#[test]
fn u512_multi_adds() {
let (result, _) = U512([0, 0, 0, 0, 0, 0, 0, 0]).overflowing_add(U512([0, 0, 0, 0, 0, 0, 0, 0]));
assert_eq!(result, U512([0, 0, 0, 0, 0, 0, 0, 0]));
let (result, _) = U512([1, 0, 0, 0, 0, 0, 0, 1]).overflowing_add(U512([1, 0, 0, 0, 0, 0, 0, 1]));
assert_eq!(result, U512([2, 0, 0, 0, 0, 0, 0, 2]));
let (result, _) = U512([0, 0, 0, 0, 0, 0, 0, 1]).overflowing_add(U512([0, 0, 0, 0, 0, 0, 0, 1]));
assert_eq!(result, U512([0, 0, 0, 0, 0, 0, 0, 2]));
let (result, _) = U512([0, 0, 0, 0, 0, 0, 2, 1]).overflowing_add(U512([0, 0, 0, 0, 0, 0, 3, 1]));
assert_eq!(result, U512([0, 0, 0, 0, 0, 0, 5, 2]));
let (result, _) = U512([1, 2, 3, 4, 5, 6, 7, 8]).overflowing_add(U512([9, 10, 11, 12, 13, 14, 15, 16]));
assert_eq!(result, U512([10, 12, 14, 16, 18, 20, 22, 24]));
let (_, overflow) = U512([0, 0, 0, 0, 0, 0, 2, 1]).overflowing_add(U512([0, 0, 0, 0, 0, 0, 3, 1]));
assert!(!overflow);
let (_, overflow) = U512([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX])
.overflowing_add(U512([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX]));
assert!(overflow);
let (_, overflow) = U512([0, 0, 0, 0, 0, 0, 0, ::std::u64::MAX])
.overflowing_add(U512([0, 0, 0, 0, 0, 0, 0, ::std::u64::MAX]));
assert!(overflow);
let (_, overflow) = U512([0, 0, 0, 0, 0, 0, 0, ::std::u64::MAX])
.overflowing_add(U512([0, 0, 0, 0, 0, 0, 0, 0]));
assert!(!overflow);
}
#[test]
fn u256_multi_adds() {
let (result, _) = U256([0, 0, 0, 0]).overflowing_add(U256([0, 0, 0, 0]));
assert_eq!(result, U256([0, 0, 0, 0]));
let (result, _) = U256([0, 0, 0, 1]).overflowing_add(U256([0, 0, 0, 1]));
assert_eq!(result, U256([0, 0, 0, 2]));
let (result, overflow) = U256([0, 0, 2, 1]).overflowing_add(U256([0, 0, 3, 1]));
assert_eq!(result, U256([0, 0, 5, 2]));
assert!(!overflow);
let (_, overflow) = U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX])
.overflowing_add(U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX]));
assert!(overflow);
let (_, overflow) = U256([0, 0, 0, ::std::u64::MAX]).overflowing_add(U256([0, 0, 0, ::std::u64::MAX]));
assert!(overflow);
}
#[test]
fn u256_multi_subs() {
let (result, _) = U256([0, 0, 0, 0]).overflowing_sub(U256([0, 0, 0, 0]));
assert_eq!(result, U256([0, 0, 0, 0]));
let (result, _) = U256([0, 0, 0, 1]).overflowing_sub(U256([0, 0, 0, 1]));
assert_eq!(result, U256([0, 0, 0, 0]));
let (_, overflow) = U256([0, 0, 2, 1]).overflowing_sub(U256([0, 0, 3, 1]));
assert!(overflow);
let (result, overflow) = U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX])
.overflowing_sub(U256([::std::u64::MAX/2, ::std::u64::MAX/2, ::std::u64::MAX/2, ::std::u64::MAX/2]));
assert!(!overflow);
assert_eq!(U256([::std::u64::MAX/2+1, ::std::u64::MAX/2+1, ::std::u64::MAX/2+1, ::std::u64::MAX/2+1]), result);
let (result, overflow) = U256([0, 0, 0, 1]).overflowing_sub(U256([0, 0, 1, 0]));
assert!(!overflow);
assert_eq!(U256([0, 0, ::std::u64::MAX, 0]), result);
let (result, overflow) = U256([0, 0, 0, 1]).overflowing_sub(U256([1, 0, 0, 0]));
assert!(!overflow);
assert_eq!(U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, 0]), result);
}
#[test]
fn u512_multi_subs() {
let (result, _) = U512([0, 0, 0, 0, 0, 0, 0, 0]).overflowing_sub(U512([0, 0, 0, 0, 0, 0, 0, 0]));
assert_eq!(result, U512([0, 0, 0, 0, 0, 0, 0, 0]));
let (result, _) = U512([10, 9, 8, 7, 6, 5, 4, 3]).overflowing_sub(U512([9, 8, 7, 6, 5, 4, 3, 2]));
assert_eq!(result, U512([1, 1, 1, 1, 1, 1, 1, 1]));
let (_, overflow) = U512([10, 9, 8, 7, 6, 5, 4, 3]).overflowing_sub(U512([9, 8, 7, 6, 5, 4, 3, 2]));
assert!(!overflow);
let (_, overflow) = U512([9, 8, 7, 6, 5, 4, 3, 2]).overflowing_sub(U512([10, 9, 8, 7, 6, 5, 4, 3]));
assert!(overflow);
}
#[test]
fn u256_multi_carry_all() {
let (result, _) = U256([::std::u64::MAX, 0, 0, 0]).overflowing_mul(U256([::std::u64::MAX, 0, 0, 0]));
assert_eq!(U256([1, ::std::u64::MAX-1, 0, 0]), result);
let (result, _) = U256([0, ::std::u64::MAX, 0, 0]).overflowing_mul(U256([::std::u64::MAX, 0, 0, 0]));
assert_eq!(U256([0, 1, ::std::u64::MAX-1, 0]), result);
let (result, _) = U256([::std::u64::MAX, ::std::u64::MAX, 0, 0]).overflowing_mul(U256([::std::u64::MAX, 0, 0, 0]));
assert_eq!(U256([1, ::std::u64::MAX, ::std::u64::MAX-1, 0]), result);
let (result, _) = U256([::std::u64::MAX, 0, 0, 0]).overflowing_mul(U256([::std::u64::MAX, ::std::u64::MAX, 0, 0]));
assert_eq!(U256([1, ::std::u64::MAX, ::std::u64::MAX-1, 0]), result);
let (result, _) = U256([::std::u64::MAX, ::std::u64::MAX, 0, 0])
.overflowing_mul(U256([::std::u64::MAX, ::std::u64::MAX, 0, 0]));
assert_eq!(U256([1, 0, ::std::u64::MAX-1, ::std::u64::MAX]), result);
let (result, _) = U256([::std::u64::MAX, 0, 0, 0]).overflowing_mul(U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, 0]));
assert_eq!(U256([1, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX-1]), result);
let (result, _) = U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, 0]).overflowing_mul(U256([::std::u64::MAX, 0, 0, 0]));
assert_eq!(U256([1, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX-1]), result);
let (result, _) = U256([::std::u64::MAX, 0, 0, 0]).overflowing_mul(
U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX]));
assert_eq!(U256([1, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX]), result);
let (result, _) = U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX])
.overflowing_mul(U256([::std::u64::MAX, 0, 0, 0]));
assert_eq!(U256([1, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX]), result);
let (result, _) = U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, 0])
.overflowing_mul(U256([::std::u64::MAX, ::std::u64::MAX, 0, 0]));
assert_eq!(U256([1, 0, ::std::u64::MAX, ::std::u64::MAX-1]), result);
let (result, _) = U256([::std::u64::MAX, ::std::u64::MAX, 0, 0])
.overflowing_mul(U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, 0]));
assert_eq!(U256([1, 0, ::std::u64::MAX, ::std::u64::MAX-1]), result);
let (result, _) = U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX])
.overflowing_mul(U256([::std::u64::MAX, ::std::u64::MAX, 0, 0]));
assert_eq!(U256([1, 0, ::std::u64::MAX, ::std::u64::MAX]), result);
let (result, _) = U256([::std::u64::MAX, ::std::u64::MAX, 0, 0])
.overflowing_mul(U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX]));
assert_eq!(U256([1, 0, ::std::u64::MAX, ::std::u64::MAX]), result);
let (result, _) = U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, 0])
.overflowing_mul(U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, 0]));
assert_eq!(U256([1, 0, 0, ::std::u64::MAX-1]), result);
let (result, _) = U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, 0])
.overflowing_mul(U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX]));
assert_eq!(U256([1, 0, 0, ::std::u64::MAX]), result);
let (result, _) = U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX])
.overflowing_mul(U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, 0]));
assert_eq!(U256([1, 0, 0, ::std::u64::MAX]), result);
let (result, _) = U256([0, 0, 0, ::std::u64::MAX]).overflowing_mul(U256([0, 0, 0, ::std::u64::MAX]));
assert_eq!(U256([0, 0, 0, 0]), result);
let (result, _) = U256([1, 0, 0, 0]).overflowing_mul(U256([0, 0, 0, ::std::u64::MAX]));
assert_eq!(U256([0, 0, 0, ::std::u64::MAX]), result);
let (result, _) = U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX])
.overflowing_mul(U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX]));
assert_eq!(U256([1, 0, 0, 0]), result);
}
#[test]
fn u256_multi_muls() {
let (result, _) = U256([0, 0, 0, 0]).overflowing_mul(U256([0, 0, 0, 0]));
assert_eq!(U256([0, 0, 0, 0]), result);
let (result, _) = U256([1, 0, 0, 0]).overflowing_mul(U256([1, 0, 0, 0]));
assert_eq!(U256([1, 0, 0, 0]), result);
let (result, _) = U256([5, 0, 0, 0]).overflowing_mul(U256([5, 0, 0, 0]));
assert_eq!(U256([25, 0, 0, 0]), result);
let (result, _) = U256([0, 5, 0, 0]).overflowing_mul(U256([0, 5, 0, 0]));
assert_eq!(U256([0, 0, 25, 0]), result);
let (result, _) = U256([0, 0, 0, 1]).overflowing_mul(U256([1, 0, 0, 0]));
assert_eq!(U256([0, 0, 0, 1]), result);
let (result, _) = U256([0, 0, 0, 5]).overflowing_mul(U256([2, 0, 0, 0]));
assert_eq!(U256([0, 0, 0, 10]), result);
let (result, _) = U256([0, 0, 1, 0]).overflowing_mul(U256([0, 5, 0, 0]));
assert_eq!(U256([0, 0, 0, 5]), result);
let (result, _) = U256([0, 0, 8, 0]).overflowing_mul(U256([0, 0, 7, 0]));
assert_eq!(U256([0, 0, 0, 0]), result);
let (result, _) = U256([2, 0, 0, 0]).overflowing_mul(U256([0, 5, 0, 0]));
assert_eq!(U256([0, 10, 0, 0]), result);
let (result, _) = U256([1, 0, 0, 0]).overflowing_mul(U256([0, 0, 0, ::std::u64::MAX]));
assert_eq!(U256([0, 0, 0, ::std::u64::MAX]), result);
}
#[test]
fn u256_multi_muls_overflow() {
let (_, overflow) = U256([1, 0, 0, 0]).overflowing_mul(U256([0, 0, 0, 0]));
assert!(!overflow);
let (_, overflow) = U256([1, 0, 0, 0]).overflowing_mul(U256([0, 0, 0, ::std::u64::MAX]));
assert!(!overflow);
let (_, overflow) = U256([0, 1, 0, 0]).overflowing_mul(U256([0, 0, 0, ::std::u64::MAX]));
assert!(overflow);
let (_, overflow) = U256([0, 1, 0, 0]).overflowing_mul(U256([0, 1, 0, 0]));
assert!(!overflow);
let (_, overflow) = U256([0, 1, 0, ::std::u64::MAX]).overflowing_mul(U256([0, 1, 0, ::std::u64::MAX]));
assert!(overflow);
let (_, overflow) = U256([0, ::std::u64::MAX, 0, 0]).overflowing_mul(U256([0, ::std::u64::MAX, 0, 0]));
assert!(!overflow);
let (_, overflow) = U256([1, 0, 0, 0]).overflowing_mul(U256([10, 0, 0, 0]));
assert!(!overflow);
let (_, overflow) = U256([2, 0, 0, 0]).overflowing_mul(U256([0, 0, 0, ::std::u64::MAX / 2]));
assert!(!overflow);
let (_, overflow) = U256([0, 0, 8, 0]).overflowing_mul(U256([0, 0, 7, 0]));
assert!(overflow);
}
#[test]
#[cfg_attr(feature="dev", allow(cyclomatic_complexity))]
fn u256_multi_full_mul() {
let result = U256([0, 0, 0, 0]).full_mul(U256([0, 0, 0, 0]));
assert_eq!(U512([0, 0, 0, 0, 0, 0, 0, 0]), result);
let result = U256([1, 0, 0, 0]).full_mul(U256([1, 0, 0, 0]));
assert_eq!(U512([1, 0, 0, 0, 0, 0, 0, 0]), result);
let result = U256([5, 0, 0, 0]).full_mul(U256([5, 0, 0, 0]));
assert_eq!(U512([25, 0, 0, 0, 0, 0, 0, 0]), result);
let result = U256([0, 5, 0, 0]).full_mul(U256([0, 5, 0, 0]));
assert_eq!(U512([0, 0, 25, 0, 0, 0, 0, 0]), result);
let result = U256([0, 0, 0, 4]).full_mul(U256([4, 0, 0, 0]));
assert_eq!(U512([0, 0, 0, 16, 0, 0, 0, 0]), result);
let result = U256([0, 0, 0, 5]).full_mul(U256([2, 0, 0, 0]));
assert_eq!(U512([0, 0, 0, 10, 0, 0, 0, 0]), result);
let result = U256([0, 0, 2, 0]).full_mul(U256([0, 5, 0, 0]));
assert_eq!(U512([0, 0, 0, 10, 0, 0, 0, 0]), result);
let result = U256([0, 3, 0, 0]).full_mul(U256([0, 0, 3, 0]));
assert_eq!(U512([0, 0, 0, 9, 0, 0, 0, 0]), result);
let result = U256([0, 0, 8, 0]).full_mul(U256([0, 0, 6, 0]));
assert_eq!(U512([0, 0, 0, 0, 48, 0, 0, 0]), result);
let result = U256([9, 0, 0, 0]).full_mul(U256([0, 3, 0, 0]));
assert_eq!(U512([0, 27, 0, 0, 0, 0, 0, 0]), result);
let result = U256([::std::u64::MAX, 0, 0, 0]).full_mul(U256([::std::u64::MAX, 0, 0, 0]));
assert_eq!(U512([1, ::std::u64::MAX-1, 0, 0, 0, 0, 0, 0]), result);
let result = U256([0, ::std::u64::MAX, 0, 0]).full_mul(U256([::std::u64::MAX, 0, 0, 0]));
assert_eq!(U512([0, 1, ::std::u64::MAX-1, 0, 0, 0, 0, 0]), result);
let result = U256([::std::u64::MAX, ::std::u64::MAX, 0, 0]).full_mul(U256([::std::u64::MAX, 0, 0, 0]));
assert_eq!(U512([1, ::std::u64::MAX, ::std::u64::MAX-1, 0, 0, 0, 0, 0]), result);
let result = U256([::std::u64::MAX, 0, 0, 0]).full_mul(U256([::std::u64::MAX, ::std::u64::MAX, 0, 0]));
assert_eq!(U512([1, ::std::u64::MAX, ::std::u64::MAX-1, 0, 0, 0, 0, 0]), result);
let result = U256([::std::u64::MAX, ::std::u64::MAX, 0, 0]).full_mul(U256([::std::u64::MAX, ::std::u64::MAX, 0, 0]));
assert_eq!(U512([1, 0, ::std::u64::MAX-1, ::std::u64::MAX, 0, 0, 0, 0]), result);
let result = U256([::std::u64::MAX, 0, 0, 0]).full_mul(U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, 0]));
assert_eq!(U512([1, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX-1, 0, 0, 0, 0]), result);
let result = U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, 0]).full_mul(U256([::std::u64::MAX, 0, 0, 0]));
assert_eq!(U512([1, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX-1, 0, 0, 0, 0]), result);
let result = U256([::std::u64::MAX, 0, 0, 0]).full_mul(U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX]));
assert_eq!(U512([1, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX-1, 0, 0, 0]), result);
let result = U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX]).full_mul(U256([::std::u64::MAX, 0, 0, 0]));
assert_eq!(U512([1, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX-1, 0, 0, 0]), result);
let result = U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, 0]).full_mul(U256([::std::u64::MAX, ::std::u64::MAX, 0, 0]));
assert_eq!(U512([1, 0, ::std::u64::MAX, ::std::u64::MAX-1, ::std::u64::MAX, 0, 0, 0]), result);
let result = U256([::std::u64::MAX, ::std::u64::MAX, 0, 0]).full_mul(U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, 0]));
assert_eq!(U512([1, 0, ::std::u64::MAX, ::std::u64::MAX-1, ::std::u64::MAX, 0, 0, 0]), result);
let result = U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX]).full_mul(U256([::std::u64::MAX, ::std::u64::MAX, 0, 0]));
assert_eq!(U512([1, 0, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX-1, ::std::u64::MAX, 0, 0]), result);
let result = U256([::std::u64::MAX, ::std::u64::MAX, 0, 0]).full_mul(U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX]));
assert_eq!(U512([1, 0, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX-1, ::std::u64::MAX, 0, 0]), result);
let result = U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, 0]).full_mul(U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, 0]));
assert_eq!(U512([1, 0, 0, ::std::u64::MAX-1, ::std::u64::MAX, ::std::u64::MAX, 0, 0]), result);
let result = U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, 0]).full_mul(U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX]));
assert_eq!(U512([1, 0, 0, ::std::u64::MAX, ::std::u64::MAX-1, ::std::u64::MAX, ::std::u64::MAX, 0]), result);
let result = U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX]).full_mul(U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, 0]));
assert_eq!(U512([1, 0, 0, ::std::u64::MAX, ::std::u64::MAX-1, ::std::u64::MAX, ::std::u64::MAX, 0]), result);
let result = U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX]).full_mul(U256([::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX]));
assert_eq!(U512([1, 0, 0, 0, ::std::u64::MAX-1, ::std::u64::MAX, ::std::u64::MAX, ::std::u64::MAX]), result);
let result = U256([0, 0, 0, ::std::u64::MAX]).full_mul(U256([0, 0, 0, ::std::u64::MAX]));
assert_eq!(U512([0, 0, 0, 0, 0, 0, 1, ::std::u64::MAX-1]), result);
let result = U256([1, 0, 0, 0]).full_mul(U256([0, 0, 0, ::std::u64::MAX]));
assert_eq!(U512([0, 0, 0, ::std::u64::MAX, 0, 0, 0, 0]), result);
let result = U256([1, 2, 3, 4]).full_mul(U256([5, 0, 0, 0]));
assert_eq!(U512([5, 10, 15, 20, 0, 0, 0, 0]), result);
let result = U256([1, 2, 3, 4]).full_mul(U256([0, 6, 0, 0]));
assert_eq!(U512([0, 6, 12, 18, 24, 0, 0, 0]), result);
let result = U256([1, 2, 3, 4]).full_mul(U256([0, 0, 7, 0]));
assert_eq!(U512([0, 0, 7, 14, 21, 28, 0, 0]), result);
let result = U256([1, 2, 3, 4]).full_mul(U256([0, 0, 0, 8]));
assert_eq!(U512([0, 0, 0, 8, 16, 24, 32, 0]), result);
let result = U256([1, 2, 3, 4]).full_mul(U256([5, 6, 7, 8]));
assert_eq!(U512([5, 16, 34, 60, 61, 52, 32, 0]), result);
}
}
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