# Complex MagnitudeComplex Math Functions

## Functions

void arm_cmplx_mag_f32 (float32_t *pSrc, float32_t *pDst, uint32_t numSamples)
Floating-point complex magnitude.

void arm_cmplx_mag_q15 (q15_t *pSrc, q15_t *pDst, uint32_t numSamples)
Q15 complex magnitude.

void arm_cmplx_mag_q31 (q31_t *pSrc, q31_t *pDst, uint32_t numSamples)
Q31 complex magnitude.

## Description

Computes the magnitude of the elements of a complex data vector.

The `pSrc` points to the source data and `pDst` points to the where the result should be written. `numSamples` specifies the number of complex samples in the input array and the data is stored in an interleaved fashion (real, imag, real, imag, ...). The input array has a total of `2*numSamples` values; the output array has a total of `numSamples` values. The underlying algorithm is used:

```for(n=0; n<numSamples; n++) {
pDst[n] = sqrt(pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2);
}
```

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

## Function Documentation

 void arm_cmplx_mag_f32 ( float32_t * `pSrc, ` float32_t * `pDst, ` uint32_t `numSamples ` )
Parameters
 [in] `*pSrc` points to complex input buffer [out] `*pDst` points to real output buffer [in] `numSamples` number of complex samples in the input vector
Returns
none.

References arm_sqrt_f32().

Referenced by main().

 void arm_cmplx_mag_q15 ( q15_t * `pSrc, ` q15_t * `pDst, ` uint32_t `numSamples ` )
Parameters
 `*pSrc` points to the complex input vector `*pDst` points to the real output vector `numSamples` number of complex samples in the input vector
Returns
none.

Scaling and Overflow Behavior:

The function implements 1.15 by 1.15 multiplications and finally output is converted into 2.14 format.

 void arm_cmplx_mag_q31 ( q31_t * `pSrc, ` q31_t * `pDst, ` uint32_t `numSamples ` )
 `*pSrc` points to the complex input vector `*pDst` points to the real output vector `numSamples` number of complex samples in the input vector