don't pack prices as much
This commit is contained in:
@ -1,6 +1,20 @@
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pragma solidity 0.5.12;
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library Math {
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function add512(uint x0, uint64 x1, uint y0, uint64 y1) internal pure returns (uint z0, uint64 z1) {
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assembly {
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z0 := add(x0, y0)
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z1 := add(add(x1, y1), lt(z0, x0))
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}
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}
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function mul512(uint x, uint64 y) internal pure returns (uint z0, uint64 z1) {
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assembly {
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let mm := mulmod(x, y, not(0))
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z0 := mul(x, y)
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z1 := sub(sub(mm, z0), lt(mm, z0))
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}
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}
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function min(uint x, uint y) internal pure returns (uint z) {
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return x <= y ? x : y;
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}
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@ -14,14 +14,4 @@ library SafeMath {
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function clamp128(uint y) internal pure returns (uint128 z) {
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z = y <= uint128(-1) ? uint128(y) : uint128(-1);
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}
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function downcast128(uint y) internal pure returns (uint128 z) {
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require(y <= uint128(-1), "downcast-128-overflow");
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z = uint128(y);
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}
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function downcast32(uint y) internal pure returns (uint32 z) {
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require(y <= uint32(-1), "downcast-32-overflow");
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z = uint32(y);
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}
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}
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@ -1,13 +0,0 @@
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pragma solidity 0.5.12;
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library SafeMath128 {
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function add(uint128 x, uint128 y) internal pure returns (uint128 z) {
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require((z = x + y) >= x, "ds-math-add-overflow");
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}
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function sub(uint128 x, uint128 y) internal pure returns (uint128 z) {
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require((z = x - y) <= x, "ds-math-sub-underflow");
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}
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function mul(uint128 x, uint128 y) internal pure returns (uint128 z) {
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require(y == 0 || (z = x * y) / y == x, "ds-math-mul-overflow");
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}
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}
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@ -1,33 +0,0 @@
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pragma solidity 0.5.12;
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// helpful links
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// https://en.wikipedia.org/wiki/Q_(number_format)
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// https://github.com/abdk-consulting/abdk-libraries-solidity/blob/master/ABDKMath64x64.md
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// https://github.com/gnosis/solidity-arithmetic
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library UQ104x104 {
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uint240 constant Q104 = 2**104;
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// we want to encode a uint128 `y` s.t. `y := y_encoded / 2**104` (i.e. with a Q104 denominator).
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// in other words, to encode `y` we simply multiply by `2**104`, aka Q104.
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// in the case of a traditional UQ104.104, we'd store this output in a 208-bit slot,
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// but since we're encoding a uint128, this would overflow for values of `y` in (`uint104(-1)`, `uint128(-1)`],
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// so instead we need to store the output in at least 232 bits (we use 240 for compatibility later on)
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function encode(uint128 y) internal pure returns (uint240 z) {
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return uint240(y) * Q104;
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}
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// we want to divide a modified UQ104.104 (the output of encode above) by an unencoded uint128 and return another
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// modified UQ104.104. to do this, it's sufficient to divide the UQ104.104 by the unencoded value.
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// since we want our output to fit in 208 bits, and behave consistently at the margins, we clamp this quotient
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// within [1, uint208(-1)]
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function qdiv(uint240 x, uint128 y) internal pure returns (uint240 z) {
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z = x / y;
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if (z == 0) {
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z = 1;
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} else if (z > uint208(-1)) {
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z = uint208(-1);
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}
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}
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}
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22
contracts/libraries/UQ128x128.sol
Normal file
22
contracts/libraries/UQ128x128.sol
Normal file
@ -0,0 +1,22 @@
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pragma solidity 0.5.12;
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// helpful links
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// https://en.wikipedia.org/wiki/Q_(number_format)
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// https://github.com/abdk-consulting/abdk-libraries-solidity/blob/master/ABDKMath64x64.md
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// https://github.com/gnosis/solidity-arithmetic
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library UQ128x128 {
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uint constant Q128 = 2**128;
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// we want to encode a uint128 `y` s.t. `y := y_encoded / 2**128` (i.e. with a Q128 denominator).
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// in other words, to encode `y` we simply multiply by `2**128`, aka Q104, and store this in a 208-bit slot.
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function encode(uint128 y) internal pure returns (uint z) {
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return uint(y) * Q128; // guaranteed not to overflow
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}
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// we want to divide a UQ128.128 (the output of encode above) by an unencoded uint128 and return another
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// modified UQ128.128. to do this, it's sufficient to divide the UQ128.128 by the unencoded value.
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function qdiv(uint x, uint128 y) internal pure returns (uint z) {
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z = x / y;
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}
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}
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