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@0x/contracts-utils: Add D18 library.

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Lawrence Forman 2020-02-19 16:19:09 -05:00
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commit 3da03da32a
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9
contracts/utils/CHANGELOG.json
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@ -1,4 +1,13 @@
[
{
"version": "4.4.0",
"changes": [
{
"note": "Add `D18` library",
"pr": 2466
}
]
},
{
"timestamp": 1581748629,
"version": "4.3.1",

248
contracts/utils/contracts/src/D18.sol Normal file
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@ -0,0 +1,248 @@
/*
Copyright 2019 ZeroEx Intl.
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*/
pragma solidity ^0.5.16;
/// @dev A library for working with 18 digit, base 10 decimals.
library D18 {
/// @dev Decimal places for dydx value quantities.
uint256 private constant PRECISION = 18;
/// @dev 1.0 in base-18 decimal.
int256 private constant DECIMAL_ONE = int256(10 ** PRECISION);
/// @dev Minimum signed integer value.
int256 private constant MIN_INT256_VALUE = int256(0x8000000000000000000000000000000000000000000000000000000000000000);
/// @dev Return `1.0`
function one()
internal
pure
returns (int256 r)
{
r = DECIMAL_ONE;
}
/// @dev Add two decimals.
function add(int256 a, int256 b)
internal
pure
returns (int256 r)
{
r = _add(a, b);
}
/// @dev Add two decimals.
function add(uint256 a, int256 b)
internal
pure
returns (int256 r)
{
require(int256(a) >= 0, "D18/DECIMAL_VALUE_TOO_BIG");
r = _add(int256(a), b);
}
/// @dev Add two decimals.
function add(int256 a, uint256 b)
internal
pure
returns (int256 r)
{
require(int256(b) >= 0, "D18/DECIMAL_VALUE_TOO_BIG");
r = _add(a, int256(b));
}
/// @dev Add two decimals.
function add(uint256 a, uint256 b)
internal
pure
returns (int256 r)
{
require(int256(a) >= 0, "D18/DECIMAL_VALUE_TOO_BIG");
require(int256(b) >= 0, "D18/DECIMAL_VALUE_TOO_BIG");
r = _add(int256(a), int256(b));
}
/// @dev Subract two decimals.
function sub(int256 a, int256 b)
internal
pure
returns (int256 r)
{
r = _add(a, -b);
}
/// @dev Subract two decimals.
function sub(uint256 a, int256 b)
internal
pure
returns (int256 r)
{
require(int256(a) >= 0, "D18/DECIMAL_VALUE_TOO_BIG");
r = _add(int256(a), -b);
}
/// @dev Subract two decimals.
function sub(uint256 a, uint256 b)
internal
pure
returns (int256 r)
{
require(int256(a) >= 0, "D18/DECIMAL_VALUE_TOO_BIG");
require(int256(b) >= 0, "D18/DECIMAL_VALUE_TOO_BIG");
r = _add(int256(a), -int256(b));
}
/// @dev Multiply two decimals.
function mul(int256 a, int256 b)
internal
pure
returns (int256 r)
{
r = _div(_mul(a, b), DECIMAL_ONE);
}
/// @dev Multiply two decimals.
function mul(uint256 a, int256 b)
internal
pure
returns (int256 r)
{
require(int256(a) >= 0, "D18/DECIMAL_VALUE_TOO_BIG");
r = _div(_mul(int256(a), b), DECIMAL_ONE);
}
/// @dev Multiply two decimals.
function mul(int256 a, uint256 b)
internal
pure
returns (int256 r)
{
require(int256(b) >= 0, "D18/DECIMAL_VALUE_TOO_BIG");
r = _div(_mul(a, int256(b)), DECIMAL_ONE);
}
/// @dev Multiply two decimals.
function mul(uint256 a, uint256 b)
internal
pure
returns (int256 r)
{
require(int256(a) >= 0, "D18/DECIMAL_VALUE_TOO_BIG");
require(int256(b) >= 0, "D18/DECIMAL_VALUE_TOO_BIG");
r = _div(_mul(int256(a), int256(b)), DECIMAL_ONE);
}
/// @dev Divide two decimals.
function div(int256 a, int256 b)
internal
pure
returns (int256 r)
{
r = _div(_mul(a, DECIMAL_ONE), b);
}
/// @dev Divide two decimals.
function div(uint256 a, int256 b)
internal
pure
returns (int256 r)
{
require(int256(a) >= 0, "D18/DECIMAL_VALUE_TOO_BIG");
r = _div(_mul(int256(a), DECIMAL_ONE), b);
}
/// @dev Divide two decimals.
function div(int256 a, uint256 b)
internal
pure
returns (int256 r)
{
require(int256(b) >= 0, "D18/DECIMAL_VALUE_TOO_BIG");
r = _div(_mul(a, DECIMAL_ONE), int256(b));
}
/// @dev Divide two decimals.
function div(uint256 a, uint256 b)
internal
pure
returns (int256 r)
{
require(int256(a) >= 0, "D18/DECIMAL_VALUE_TOO_BIG");
require(int256(b) >= 0, "D18/DECIMAL_VALUE_TOO_BIG");
r = _div(_mul(int256(a), DECIMAL_ONE), int256(b));
}
/// @dev Safely convert an unsigned integer into a signed integer.
function toSigned(uint256 a)
internal
pure
returns (int256 r)
{
require(int256(a) >= 0, "D18/DECIMAL_VALUE_TOO_BIG");
r = int256(a);
}
/// @dev Clip a signed value to be positive.
function clip(int256 a)
internal
pure
returns (int256 r)
{
r = a < 0 ? 0 : a;
}
/// @dev Safely multiply two signed integers.
function _mul(int256 a, int256 b)
private
pure
returns (int256 r)
{
if (a == 0 || b == 0) {
return 0;
}
r = a * b;
require(r / a == b && r / b == a, "D18/DECIMAL_MUL_OVERFLOW");
return r;
}
/// @dev Safely divide two signed integers.
function _div(int256 a, int256 b)
private
pure
returns (int256 r)
{
require(b != 0, "D18/DECIMAL_DIV_BY_ZERO");
require(a != MIN_INT256_VALUE || b != -1, "D18/DECIMAL_DIV_OVERFLOW");
r = a / b;
}
/// @dev Safely add two signed integers.
function _add(int256 a, int256 b)
private
pure
returns (int256 r)
{
r = a + b;
require(
!((a < 0 && b < 0 && r > a) || (a > 0 && b > 0 && r < a)),
"D18/DECIMAL_ADD_OVERFLOW"
);
}
}