Trigonometry

INDEX_WIDTH

uint256 INDEX_WIDTH

INTERP_WIDTH

uint256 INTERP_WIDTH

INDEX_OFFSET

uint256 INDEX_OFFSET

INTERP_OFFSET

uint256 INTERP_OFFSET

ANGLES_IN_CYCLE

uint16 ANGLES_IN_CYCLE

QUADRANT_HIGH_MASK

uint16 QUADRANT_HIGH_MASK

QUADRANT_LOW_MASK

uint16 QUADRANT_LOW_MASK

SINE_TABLE_SIZE

uint256 SINE_TABLE_SIZE

entry_bytes

uint8 entry_bytes

sin_table

bytes sin_table

bits

function bits(uint256 _value, uint256 _width, uint256 _offset) internal pure returns (uint256)

Convenience function to apply a mask on an integer to extract a certain number of bits. Using exponents since solidity still does not support shifting.

Name	Type	Description
_value	uint256	The integer whose bits we want to get
_width	uint256	The width of the bits (in bits) we want to extract
_offset	uint256	The offset of the bits (in bits) we want to extract

Name	Type	Description
[0]	uint256	An integer containing _width bits of _value starting at the _offset bit

sin_table_lookup

function sin_table_lookup(uint256 index) internal pure returns (uint16)

sin

function sin(uint16 _angle) public pure returns (int256)

Return the sine of an integer approximated angle as a signed 16-bit integer.

Name	Type	Description
_angle	uint16	A 16-bit angle. This divides the circle into 16384 angle units, instead of the standard 360 degrees.

Name	Type	Description
[0]	int256	The sine result as a number in the range -32767 to 32767.

cos

function cos(uint16 _angle) public pure returns (int256)

Return the cos of an integer approximated angle. It functions just like the sin() method but uses the trigonometric identity sin(x + pi/2) = cos(x) to quickly calculate the cos.