CMSIS-DSP  Version 1.10.0 CMSIS DSP Software Library

## Functions

float32_t arm_sin_f32 (float32_t x)
Fast approximation to the trigonometric sine function for floating-point data. More...

q31_t arm_sin_q31 (q31_t x)
Fast approximation to the trigonometric sine function for Q31 data. More...

q15_t arm_sin_q15 (q15_t x)
Fast approximation to the trigonometric sine function for Q15 data. More...

## Description

Computes the trigonometric sine function using a combination of table lookup and linear interpolation. There are separate functions for Q15, Q31, and floating-point data types. The input to the floating-point version is in radians while the fixed-point Q15 and Q31 have a scaled input with the range [0 +0.9999] mapping to [0 2*pi). The fixed-point range is chosen so that a value of 2*pi wraps around to 0.

The implementation is based on table lookup using 512 values together with linear interpolation. The steps used are:

1. Calculation of the nearest integer table index
2. Compute the fractional portion (fract) of the table index.
3. The final result equals `(1.0f-fract)*a + fract*b;`

where

```   b = Table[index];
c = Table[index+1];
```

## Function Documentation

 float32_t arm_sin_f32 ( float32_t x )
Parameters
 [in] x input value in radians.
Returns
sin(x).
Parameters
 [in] x input value in radians.
Returns
sin(x)
Examples:
arm_linear_interp_example_f32.c, and arm_sin_cos_example_f32.c.
 q15_t arm_sin_q15 ( q15_t x )
Parameters
 [in] x Scaled input value in radians.
Returns
sin(x).
Parameters
 [in] x Scaled input value in radians
Returns
sin(x)

The Q15 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*PI).

 q31_t arm_sin_q31 ( q31_t x )
Parameters
 [in] x Scaled input value in radians.
Returns
sin(x).
Parameters
 [in] x Scaled input value in radians
Returns
sin(x)

The Q31 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*PI).