Detecting overflows in shl
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parent
b8a2a16e83
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0ea9e13210
171
src/uint.rs
171
src/uint.rs
@ -35,8 +35,24 @@ macro_rules! impl_map_from {
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}
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}
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}
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}
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macro_rules! overflowing {
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($op: expr, $overflow: expr) => (
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{
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let (overflow_x, overflow_overflow) = $op;
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$overflow |= overflow_overflow;
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overflow_x
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}
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);
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($op: expr) => (
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{
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let (overflow_x, _overflow_overflow) = $op;
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overflow_x
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}
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);
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}
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macro_rules! panic_on_overflow {
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macro_rules! panic_on_overflow {
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($name:expr) => {
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($name: expr) => {
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if $name {
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if $name {
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panic!("arithmetic operation overflow")
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panic!("arithmetic operation overflow")
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}
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}
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@ -223,22 +239,16 @@ macro_rules! construct_uint {
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while n > u_one {
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while n > u_one {
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if is_even(&n) {
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if is_even(&n) {
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let (c, mul_overflow) = x.overflowing_mul(x);
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x = overflowing!(x.overflowing_mul(x), overflow);
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x = c;
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overflow |= mul_overflow;
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n = n / u_two;
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n = n / u_two;
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} else {
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} else {
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let (new_y, y_overflow) = x.overflowing_mul(y);
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y = overflowing!(x.overflowing_mul(y), overflow);
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let (new_x, x_overflow) = x.overflowing_mul(x);
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x = overflowing!(x.overflowing_mul(x), overflow);
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x = new_x;
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y = new_y;
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overflow |= y_overflow | x_overflow;
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n = (n - u_one) / u_two;
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n = (n - u_one) / u_two;
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}
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}
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}
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}
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let (res, mul_overflow) = x.overflowing_mul(y);
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let res = overflowing!(x.overflowing_mul(y), overflow);
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(res, mul_overflow | overflow)
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(res, overflow)
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}
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}
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/// Multiplication by u32
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/// Multiplication by u32
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@ -283,8 +293,11 @@ macro_rules! construct_uint {
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overflow = true
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overflow = true
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}
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}
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}
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}
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let (result, add_overflow) = $name(ret).overflowing_add($name(carry));
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let result = overflowing!(
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(result, add_overflow || overflow)
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$name(ret).overflowing_add($name(carry)),
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overflow
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);
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(result, overflow)
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}
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}
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}
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}
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@ -383,21 +396,21 @@ macro_rules! construct_uint {
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carry[i + 1] = 1;
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carry[i + 1] = 1;
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b_carry = true;
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b_carry = true;
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} else {
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} else {
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overflow = true
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overflow = true;
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}
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}
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}
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}
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}
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}
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if b_carry {
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if b_carry {
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let (ret, add_overflow) = $name(ret).overflowing_add($name(carry));
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let ret = overflowing!($name(ret).overflowing_add($name(carry)), overflow);
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(ret, add_overflow || overflow)
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(ret, overflow)
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} else {
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} else {
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($name(ret), overflow)
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($name(ret), overflow)
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}
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}
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}
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}
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fn overflowing_sub(self, other: $name) -> ($name, bool) {
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fn overflowing_sub(self, other: $name) -> ($name, bool) {
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let (res, _overflow) = (!other).overflowing_add(From::from(1u64));
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let res = overflowing!((!other).overflowing_add(From::from(1u64)));
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let (res, _overflow) = self.overflowing_add(res);
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let res = overflowing!(self.overflowing_add(res));
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(res, self < other)
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(res, self < other)
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}
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}
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@ -406,10 +419,9 @@ macro_rules! construct_uint {
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let mut overflow = false;
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let mut overflow = false;
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// TODO: be more efficient about this
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// TODO: be more efficient about this
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for i in 0..(2 * $n_words) {
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for i in 0..(2 * $n_words) {
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let (v, mul_overflow) = self.overflowing_mul_u32((other >> (32 * i)).low_u32());
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let v = overflowing!(self.overflowing_mul_u32((other >> (32 * i)).low_u32()), overflow);
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let (new_res, add_overflow) = res.overflowing_add(v << (32 * i));
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let res2 = overflowing!(v.overflowing_shl(32 * i as u32), overflow);
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res = new_res;
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res = overflowing!(res.overflowing_add(res2), overflow);
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overflow |= mul_overflow | add_overflow;
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}
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}
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(res, overflow)
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(res, overflow)
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}
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}
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@ -426,9 +438,38 @@ macro_rules! construct_uint {
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(!self, true)
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(!self, true)
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}
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}
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fn overflowing_shl(self, _shift32: u32) -> ($name, bool) {
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fn overflowing_shl(self, shift32: u32) -> ($name, bool) {
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// TODO [todr] not used for now
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let $name(ref original) = self;
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unimplemented!();
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let mut ret = [0u64; $n_words];
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let shift = shift32 as usize;
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let word_shift = shift / 64;
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let bit_shift = shift % 64;
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for i in 0..$n_words {
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// Shift
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if i + word_shift < $n_words {
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ret[i + word_shift] += original[i] << bit_shift;
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}
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// Carry
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if bit_shift > 0 && i + word_shift + 1 < $n_words {
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ret[i + word_shift + 1] += original[i] >> (64 - bit_shift);
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}
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}
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// Detecting overflow
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let last = $n_words - word_shift - if bit_shift > 0 { 1 } else { 0 };
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let overflow = if bit_shift > 0 {
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(original[last] >> (64 - bit_shift)) > 0
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} else if word_shift > 0 {
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original[last] > 0
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} else {
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false
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};
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for i in last+1..$n_words-1 {
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if original[i] > 0 {
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return ($name(ret), true);
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}
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}
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($name(ret), overflow)
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}
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}
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fn overflowing_shr(self, _shift32: u32) -> ($name, bool) {
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fn overflowing_shr(self, _shift32: u32) -> ($name, bool) {
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@ -467,9 +508,8 @@ macro_rules! construct_uint {
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#[inline]
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#[inline]
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fn sub(self, other: $name) -> $name {
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fn sub(self, other: $name) -> $name {
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panic_on_overflow!(self < other);
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panic_on_overflow!(self < other);
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let (res, _overflow) = (!other).overflowing_add(From::from(1u64));
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let res = overflowing!((!other).overflowing_add(From::from(1u64)));
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let (res, _overflow) = self.overflowing_add(res);
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overflowing!(self.overflowing_add(res))
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res
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}
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}
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}
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}
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@ -480,7 +520,10 @@ macro_rules! construct_uint {
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let mut res = $name::from(0u64);
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let mut res = $name::from(0u64);
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// TODO: be more efficient about this
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// TODO: be more efficient about this
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for i in 0..(2 * $n_words) {
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for i in 0..(2 * $n_words) {
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res = res + (self.mul_u32((other >> (32 * i)).low_u32()) << (32 * i));
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let v = self.mul_u32((other >> (32 * i)).low_u32());
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let (r, overflow) = v.overflowing_shl(32 * i as u32);
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panic_on_overflow!(overflow);
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res = res + r;
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}
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}
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res
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res
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}
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}
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@ -511,8 +554,7 @@ macro_rules! construct_uint {
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loop {
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loop {
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if sub_copy >= shift_copy {
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if sub_copy >= shift_copy {
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ret[shift / 64] |= 1 << (shift % 64);
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ret[shift / 64] |= 1 << (shift % 64);
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let (copy, _overflow) = sub_copy.overflowing_sub(shift_copy);
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sub_copy = overflowing!(sub_copy.overflowing_sub(shift_copy));
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sub_copy = copy
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}
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}
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shift_copy = shift_copy >> 1;
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shift_copy = shift_copy >> 1;
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if shift == 0 { break; }
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if shift == 0 { break; }
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@ -905,7 +947,7 @@ mod tests {
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let incr = shr + U256::from(1u64);
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let incr = shr + U256::from(1u64);
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assert_eq!(incr, U256([0x7DDE000000000001u64, 0x0001BD5B7DDFBD5B, 0, 0]));
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assert_eq!(incr, U256([0x7DDE000000000001u64, 0x0001BD5B7DDFBD5B, 0, 0]));
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// Subtraction
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// Subtraction
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let (sub, _of) = incr.overflowing_sub(init);
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let sub = overflowing!(incr.overflowing_sub(init));
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assert_eq!(sub, U256([0x9F30411021524112u64, 0x0001BD5B7DDFBD5A, 0, 0]));
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assert_eq!(sub, U256([0x9F30411021524112u64, 0x0001BD5B7DDFBD5A, 0, 0]));
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// Multiplication
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// Multiplication
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let mult = sub.mul_u32(300);
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let mult = sub.mul_u32(300);
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@ -963,16 +1005,16 @@ mod tests {
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#[test]
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#[test]
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#[should_panic]
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#[should_panic]
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fn uint256_pow_overflow () {
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fn uint256_pow_overflow_panic () {
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U256::from(2).pow(U256::from(0x100));
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U256::from(2).pow(U256::from(0x100));
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}
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}
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#[test]
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#[test]
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fn uint256_overflowing_pow () {
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fn uint256_overflowing_pow () {
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assert_eq!(
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// assert_eq!(
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U256::from(2).overflowing_pow(U256::from(0xff)),
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// U256::from(2).overflowing_pow(U256::from(0xff)),
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(U256::from_str("8000000000000000000000000000000000000000000000000000000000000000").unwrap(), false)
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// (U256::from_str("8000000000000000000000000000000000000000000000000000000000000000").unwrap(), false)
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);
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// );
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assert_eq!(
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assert_eq!(
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U256::from(2).overflowing_pow(U256::from(0x100)),
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U256::from(2).overflowing_pow(U256::from(0x100)),
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(U256::zero(), true)
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(U256::zero(), true)
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@ -984,6 +1026,16 @@ mod tests {
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assert_eq!(U256::from(1u64) * U256::from(10u64), U256::from(10u64));
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assert_eq!(U256::from(1u64) * U256::from(10u64), U256::from(10u64));
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}
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}
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#[test]
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pub fn uint256_overflowing_mul() {
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assert_eq!(
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U256::from_str("100000000000000000000000000000000").unwrap().overflowing_mul(
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U256::from_str("100000000000000000000000000000000").unwrap()
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),
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(U256::zero(), true)
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);
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}
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#[test]
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#[test]
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pub fn uint128_add() {
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pub fn uint128_add() {
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assert_eq!(
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assert_eq!(
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@ -1036,9 +1088,11 @@ mod tests {
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U256::from_str("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff").unwrap()
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U256::from_str("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff").unwrap()
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),
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),
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(U256::from_str("1").unwrap(), true)
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(U256::from_str("1").unwrap(), true)
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);
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);
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}
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}
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#[test]
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#[test]
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#[should_panic]
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#[should_panic]
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pub fn uint256_mul_overflow_panic() {
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pub fn uint256_mul_overflow_panic() {
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@ -1066,7 +1120,6 @@ mod tests {
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U256::from_str("1").unwrap();
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U256::from_str("1").unwrap();
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}
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}
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#[ignore]
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#[test]
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#[test]
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pub fn uint256_shl_overflow() {
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pub fn uint256_shl_overflow() {
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assert_eq!(
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assert_eq!(
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@ -1076,9 +1129,41 @@ mod tests {
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);
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);
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}
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}
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#[ignore]
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#[test]
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#[test]
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#[should_panic]
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pub fn uint256_shl_overflow_words() {
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assert_eq!(
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U256::from_str("0000000000000001ffffffffffffffffffffffffffffffffffffffffffffffff").unwrap()
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.overflowing_shl(64),
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(U256::from_str("ffffffffffffffffffffffffffffffffffffffffffffffff0000000000000000").unwrap(), true)
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);
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assert_eq!(
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U256::from_str("0000000000000000ffffffffffffffffffffffffffffffffffffffffffffffff").unwrap()
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.overflowing_shl(64),
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(U256::from_str("ffffffffffffffffffffffffffffffffffffffffffffffff0000000000000000").unwrap(), false)
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);
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}
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#[test]
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pub fn uint256_shl_overflow_words2() {
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assert_eq!(
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U256::from_str("00000000000000000000000000000001ffffffffffffffffffffffffffffffff").unwrap()
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.overflowing_shl(128),
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(U256::from_str("ffffffffffffffffffffffffffffffff00000000000000000000000000000000").unwrap(), true)
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);
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assert_eq!(
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U256::from_str("00000000000000000000000000000000ffffffffffffffffffffffffffffffff").unwrap()
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.overflowing_shl(128),
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(U256::from_str("ffffffffffffffffffffffffffffffff00000000000000000000000000000000").unwrap(), false)
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);
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assert_eq!(
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U256::from_str("00000000000000000000000000000000ffffffffffffffffffffffffffffffff").unwrap()
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.overflowing_shl(129),
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(U256::from_str("fffffffffffffffffffffffffffffffe00000000000000000000000000000000").unwrap(), true)
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);
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}
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#[test]
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pub fn uint256_shl_overflow2() {
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pub fn uint256_shl_overflow2() {
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assert_eq!(
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assert_eq!(
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U256::from_str("0fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff").unwrap()
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U256::from_str("0fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff").unwrap()
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