Math utilities

MathUtils

this library implements various logarithmic math utilies which support other contracts and specifically the GYSR multiplier calculation

h/t https://github.com/abdk-consulting/abdk-libraries-solidity


logbase2(int128 x) → int128 (internal)

calculate binary logarithm of x

Parameters

  • x: signed 64.64-bit fixed point number, require x > 0

Returns

  • signed 64.64-bit fixed point number


ln(int128 x) → int128 (internal)

calculate natural logarithm of x

magic constant comes from ln(2) * 2^128 -> hex

Parameters

  • x: signed 64.64-bit fixed point number, require x > 0

Returns

  • signed 64.64-bit fixed point number


logbase10(int128 x) → int128 (internal)

calculate logarithm base 10 of x

magic constant comes from log10(2) * 2^128 -> hex

Parameters

  • x: signed 64.64-bit fixed point number, require x > 0

Returns

  • signed 64.64-bit fixed point number


testlogbase2(int128 x) → int128 (public)


testlogbase10(int128 x) → int128 (public)