Trigonometry

Trigonometry-related functions. More...

Functions
uint64_t	sp::fixed_phase_reduce (float input)
	Reduces a single-precision floating-point number modulo 2 pi. More...
float	sp::float_phase_reduce (float input)
	Map the input to the interval [-float(pi), float(pi)] by reducing modulo 2 pi. More...

Detailed Description

Trigonometry-related functions.

• Phase reduction.
• Trigonometric functions

Function Documentation

fixed_phase_reduce()

uint64_t sp::fixed_phase_reduce

(

float

input

)

Reduces a single-precision floating-point number modulo 2 pi.

The result is returned multiplied by 2^64 / (2pi).

NOT to be used if the input is already in the interval [-1/128, 1/128].

The most difficult input is 10838702 (this being rather jolly close to an integer multiple of 2 pi).

float_phase_reduce()

float sp::float_phase_reduce

(

float

input

)

Map the input to the interval [-float(pi), float(pi)] by reducing modulo 2 pi.

Here float(pi) := sp::bitcast<float>(0x40490fdb) is the closest IEEE 754 single-precision float to the mathematical constant pi.