# Sine Cosine
[Controller Functions]

## Functions

void | arm_sin_cos_f32 (float32_t theta, float32_t *pSinVal, float32_t *pCosVal)
void | arm_sin_cos_q31 (q31_t theta, q31_t *pSinVal, q31_t *pCosVal)

## Variables

static const float32_t | cosTable [360]
static const float32_t | sinTable [360]
static const int32_t | sinTableQ31 [360]
static const int32_t | cosTableQ31 [360]

## Detailed Description

Computes the trigonometric sine and cosine values using a combination of table lookup and linear interpolation. There are separate functions for Q31 and floating-point data types. The input to the floating-point version is in degrees while the fixed-point Q31 have a scaled input with the range [-1 1) mapping to [-180 180) degrees.

The implementation is based on table lookup using 360 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 input.
3. Fetch the value corresponding to `index` from sine table to `y0` and also value from `index+1` to `y1`.
4. Sine value is computed as `*psinVal = y0 + (fract * (y1 - y0))`.
5. Fetch the value corresponding to `index` from cosine table to `y0` and also value from `index+1` to `y1`.
6. Cosine value is computed as `*pcosVal = y0 + (fract * (y1 - y0))`.

## Function Documentation

void arm_sin_cos_f32 | ( | float32_t | theta,
|  | float32_t * | pSinVal,
|  | float32_t * | pCosVal
| ) |  |

Floating-point sin_cos function.

Parameters:

  [in] | theta | input value in degrees
  [out] | *pSinVal | points to the processed sine output.
  [out] | *pCosVal | points to the processed cos output.

Returns:
  none.

Definition at line 367 of file arm_sin_cos_f32.c.

void arm_sin_cos_q31 | ( | q31_t | theta,
|  | q31_t * | pSinVal,
|  | q31_t * | pCosVal
| ) |  |

Q31 sin_cos function.

Parameters:

  [in] | theta | scaled input value in degrees
  [out] | *pSinVal | points to the processed sine output.
  [out] | *pCosVal | points to the processed cosine output.

Returns:
  none.

The Q31 input value is in the range [-1 +1) and is mapped to a degree value in the range [-180 180).

Definition at line 264 of file arm_sin_cos_q31.c.

## Variable Documentation

const float32_t cosTable[360]`[static]`

  Cosine Table is generated from following loop

      for(i = 0; i < 360; i++)
       {
          cosTable[i]= cos((i-180) * PI/180.0);
       }

Definition at line 71 of file arm_sin_cos_f32.c.

const float32_t sinTable[360]`[static]`

  Sine Table is generated from following loop

      for(i = 0; i < 360; i++)
       {
          sinTable[i]= sin((i-180) * PI/180.0);
       }

Definition at line 219 of file arm_sin_cos_f32.c.

const int32_t sinTableQ31[360]`[static]`

  Sine Table is generated from following loop

      for(i = 0; i < 360; i++)
       {
          sinTable[i]= sin((i-180) * PI/180.0);
       }

  Convert above coefficients to fixed point 1.31 format.

Definition at line 51 of file arm_sin_cos_q31.c.

const int32_t cosTableQ31[360]`[static]`

  Cosine Table is generated from following loop

      for(i = 0; i < 360; i++)
       {
          cosTable[i]= cos((i-180) * PI/180.0);
       }

  Convert above coefficients to fixed point 1.31 format.

Definition at line 157 of file arm_sin_cos_q31.c.

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