CMSIS-DSP  
CMSIS DSP Software Library
 
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Vector Dot Product

Functions

void arm_dot_prod_f16 (const float16_t *pSrcA, const float16_t *pSrcB, uint32_t blockSize, float16_t *result)
 Dot product of floating-point vectors.
 
void arm_dot_prod_f32 (const float32_t *pSrcA, const float32_t *pSrcB, uint32_t blockSize, float32_t *result)
 Dot product of floating-point vectors.
 
void arm_dot_prod_f64 (const float64_t *pSrcA, const float64_t *pSrcB, uint32_t blockSize, float64_t *result)
 Dot product of floating-point vectors.
 
void arm_dot_prod_q15 (const q15_t *pSrcA, const q15_t *pSrcB, uint32_t blockSize, q63_t *result)
 Dot product of Q15 vectors.
 
void arm_dot_prod_q31 (const q31_t *pSrcA, const q31_t *pSrcB, uint32_t blockSize, q63_t *result)
 Dot product of Q31 vectors.
 
void arm_dot_prod_q7 (const q7_t *pSrcA, const q7_t *pSrcB, uint32_t blockSize, q31_t *result)
 Dot product of Q7 vectors.
 

Description

Computes the dot product of two vectors. The vectors are multiplied element-by-element and then summed.

    sum = pSrcA[0]*pSrcB[0] + pSrcA[1]*pSrcB[1] + ... + pSrcA[blockSize-1]*pSrcB[blockSize-1]

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

Function Documentation

◆ arm_dot_prod_f16()

void arm_dot_prod_f16 ( const float16_t *  pSrcA,
const float16_t *  pSrcB,
uint32_t  blockSize,
float16_t *  result 
)

Dot product of floating-point vectors.

Parameters
[in]pSrcApoints to the first input vector.
[in]pSrcBpoints to the second input vector.
[in]blockSizenumber of samples in each vector.
[out]resultoutput result returned here.

◆ arm_dot_prod_f32()

void arm_dot_prod_f32 ( const float32_t pSrcA,
const float32_t pSrcB,
uint32_t  blockSize,
float32_t result 
)

Dot product of floating-point vectors.

Parameters
[in]pSrcApoints to the first input vector.
[in]pSrcBpoints to the second input vector.
[in]blockSizenumber of samples in each vector.
[out]resultoutput result returned here.

◆ arm_dot_prod_f64()

void arm_dot_prod_f64 ( const float64_t pSrcA,
const float64_t pSrcB,
uint32_t  blockSize,
float64_t result 
)

Dot product of floating-point vectors.

Parameters
[in]pSrcApoints to the first input vector.
[in]pSrcBpoints to the second input vector.
[in]blockSizenumber of samples in each vector.
[out]resultoutput result returned here.

◆ arm_dot_prod_q15()

void arm_dot_prod_q15 ( const q15_t pSrcA,
const q15_t pSrcB,
uint32_t  blockSize,
q63_t result 
)

Dot product of Q15 vectors.

Parameters
[in]pSrcApoints to the first input vector
[in]pSrcBpoints to the second input vector
[in]blockSizenumber of samples in each vector
[out]resultoutput result returned here
Scaling and Overflow Behavior
The intermediate multiplications are in 1.15 x 1.15 = 2.30 format and these results are added to a 64-bit accumulator in 34.30 format. Nonsaturating additions are used and given that there are 33 guard bits in the accumulator there is no risk of overflow. The return result is in 34.30 format.

◆ arm_dot_prod_q31()

void arm_dot_prod_q31 ( const q31_t pSrcA,
const q31_t pSrcB,
uint32_t  blockSize,
q63_t result 
)

Dot product of Q31 vectors.

Parameters
[in]pSrcApoints to the first input vector.
[in]pSrcBpoints to the second input vector.
[in]blockSizenumber of samples in each vector.
[out]resultoutput result returned here.
Scaling and Overflow Behavior
The intermediate multiplications are in 1.31 x 1.31 = 2.62 format and these are 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. There are 15 guard bits in the accumulator and there is no risk of overflow as long as the length of the vectors is less than 2^16 elements. The return result is in 16.48 format.

◆ arm_dot_prod_q7()

void arm_dot_prod_q7 ( const q7_t pSrcA,
const q7_t pSrcB,
uint32_t  blockSize,
q31_t result 
)

Dot product of Q7 vectors.

Parameters
[in]pSrcApoints to the first input vector
[in]pSrcBpoints to the second input vector
[in]blockSizenumber of samples in each vector
[out]resultoutput result returned here
Scaling and Overflow Behavior
The intermediate multiplications are in 1.7 x 1.7 = 2.14 format and these results are added to an accumulator in 18.14 format. Nonsaturating additions are used and there is no danger of wrap around as long as the vectors are less than 2^18 elements long. The return result is in 18.14 format.