FastLED  3.1
Fast trig functions

Fast 8 and 16-bit approximations of sin(x) and cos(x). More... Collaboration diagram for Fast trig functions:

## Functions

LIB8STATIC int16_t sin16_avr (uint16_t theta)
Fast 16-bit approximation of sin(x). More...

LIB8STATIC int16_t sin16_C (uint16_t theta)
Fast 16-bit approximation of sin(x). More...

LIB8STATIC int16_t cos16 (uint16_t theta)
Fast 16-bit approximation of cos(x). More...

LIB8STATIC uint8_t sin8_avr (uint8_t theta)
Fast 8-bit approximation of sin(x). More...

LIB8STATIC uint8_t sin8_C (uint8_t theta)
Fast 8-bit approximation of sin(x). More...

LIB8STATIC uint8_t cos8 (uint8_t theta)
Fast 8-bit approximation of cos(x). More...

## Variables

const uint8_t b_m16_interleave [] = { 0, 49, 49, 41, 90, 27, 117, 10 }

## Detailed Description

Fast 8 and 16-bit approximations of sin(x) and cos(x).

Don't use these approximations for calculating the trajectory of a rocket to Mars, but they're great for art projects and LED displays.

On Arduino/AVR, the 16-bit approximation is more than 10X faster than floating point sin(x) and cos(x), while the 8-bit approximation is more than 20X faster.

## Function Documentation

 LIB8STATIC int16_t cos16 ( uint16_t theta )

Fast 16-bit approximation of cos(x).

This approximation never varies more than 0.69% from the floating point value you'd get by doing

```float s = cos(x) * 32767.0;
```
Parameters
 theta input angle from 0-65535
Returns
sin of theta, value between -32767 to 32767.

Definition at line 120 of file trig8.h.

 LIB8STATIC uint8_t cos8 ( uint8_t theta )

Fast 8-bit approximation of cos(x).

This approximation never varies more than 2% from the floating point value you'd get by doing

```float s = (cos(x) * 128.0) + 128;
```
Parameters
 theta input angle from 0-255
Returns
sin of theta, value between 0 and 255

Definition at line 253 of file trig8.h.

 LIB8STATIC int16_t sin16_avr ( uint16_t theta )

Fast 16-bit approximation of sin(x).

This approximation never varies more than 0.69% from the floating point value you'd get by doing

```float s = sin(x) * 32767.0;
```
Parameters
 theta input angle from 0-65535
Returns
sin of theta, value between -32767 to 32767.

Definition at line 30 of file trig8.h.

 LIB8STATIC int16_t sin16_C ( uint16_t theta )

Fast 16-bit approximation of sin(x).

This approximation never varies more than 0.69% from the floating point value you'd get by doing

```float s = sin(x) * 32767.0;
```
Parameters
 theta input angle from 0-65535
Returns
sin of theta, value between -32767 to 32767.

Definition at line 88 of file trig8.h.

 LIB8STATIC uint8_t sin8_avr ( uint8_t theta )

Fast 8-bit approximation of sin(x).

This approximation never varies more than 2% from the floating point value you'd get by doing

```float s = (sin(x) * 128.0) + 128;
```
Parameters
 theta input angle from 0-255
Returns
sin of theta, value between 0 and 255

Definition at line 159 of file trig8.h.

 LIB8STATIC uint8_t sin8_C ( uint8_t theta )

Fast 8-bit approximation of sin(x).

This approximation never varies more than 2% from the floating point value you'd get by doing

```float s = (sin(x) * 128.0) + 128;
```
Parameters
 theta input angle from 0-255
Returns
sin of theta, value between 0 and 255

Definition at line 217 of file trig8.h.