# Power
[Statistics Functions]

## Functions

void | arm_power_f32 (float32_t *pSrc, uint32_t blockSize, float32_t *pResult)
void | arm_power_q31 (q31_t *pSrc, uint32_t blockSize, q63_t *pResult)
void | arm_power_q15 (q15_t *pSrc, uint32_t blockSize, q63_t *pResult)
void | arm_power_q7 (q7_t *pSrc, uint32_t blockSize, q31_t *pResult)

## Detailed Description

Calculates the sum of the squares of the elements in the input vector. The underlying algorithm is used:

     	Result = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + pSrc[2] * pSrc[2] + ... + pSrc[blockSize-1] * pSrc[blockSize-1];

There are separate functions for floating point, Q31, Q15, and Q7 data types.

## Function Documentation

void arm_power_f32 | ( | float32_t * | pSrc,
|  | uint32_t | blockSize,
|  | float32_t * | pResult
| ) |  |

Sum of the squares of the elements of a floating-point vector.

Parameters:

  [in] | *pSrc | points to the input vector
  [in] | blockSize | length of the input vector
  [out] | *pResult | sum of the squares value returned here

Returns:
  none.

Definition at line 68 of file arm_power_f32.c.

void arm_power_q31 | ( | q31_t * | pSrc,
|  | uint32_t | blockSize,
|  | q63_t * | pResult
| ) |  |

Sum of the squares of the elements of a Q31 vector.

Parameters:

  [in] | *pSrc | points to the input vector
  [in] | blockSize | length of the input vector
  [out] | *pResult | sum of the squares value returned here

Returns:
  none.

Scaling and Overflow Behavior:

  The function is implemented using a 64-bit internal accumulator. The input is represented in 1.31 format. Intermediate multiplication yields a 2.62 format, and this result is truncated to 2.48 format by discarding the lower 14 bits. The 2.48 result is then added without saturation to a 64-bit accumulator in 16.48 format. With 15 guard bits in the accumulator, there is no risk of overflow, and the full precision of the intermediate multiplication is preserved. Finally, the return result is in 16.48 format.

Definition at line 63 of file arm_power_q31.c.

void arm_power_q15 | ( | q15_t * | pSrc,
|  | uint32_t | blockSize,
|  | q63_t * | pResult
| ) |  |

Sum of the squares of the elements of a Q15 vector.

Parameters:

  [in] | *pSrc | points to the input vector
  [in] | blockSize | length of the input vector
  [out] | *pResult | sum of the squares value returned here

Returns:
  none.

Scaling and Overflow Behavior:

  The function is implemented using a 64-bit internal accumulator. The input is represented in 1.15 format. Intermediate multiplication yields a 2.30 format, and this result is added without saturation to a 64-bit accumulator in 34.30 format. With 33 guard bits in the accumulator, there is no risk of overflow, and the full precision of the intermediate multiplication is preserved. Finally, the return result is in 34.30 format.

Definition at line 62 of file arm_power_q15.c.

void arm_power_q7 | ( | q7_t * | pSrc,
|  | uint32_t | blockSize,
|  | q31_t * | pResult
| ) |  |

Sum of the squares of the elements of a Q7 vector.

Parameters:

  [in] | *pSrc | points to the input vector
  [in] | blockSize | length of the input vector
  [out] | *pResult | sum of the squares value returned here

Returns:
  none.

Scaling and Overflow Behavior:

  The function is implemented using a 32-bit internal accumulator. The input is represented in 1.7 format. Intermediate multiplication yields a 2.14 format, and this result is added without saturation to an accumulator in 18.14 format. With 17 guard bits in the accumulator, there is no risk of overflow, and the full precision of the intermediate multiplication is preserved. Finally, the return result is in 18.14 format.

Definition at line 62 of file arm_power_q7.c.

All Data Structures Files Functions Variables Typedefs Enumerations Enumerator Defines