Square Root [Fast Math Functions]

Functions
arm_status	arm_sqrt_q31 (q31_t in, q31_t *pOut)
arm_status	arm_sqrt_q15 (q15_t in, q15_t *pOut)
static INLINE arm_status	arm_sqrt_f32 (float32_t in, float32_t *pOut)

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Detailed Description

Computes the square root of a number. There are separate functions for Q15, Q31, and floating-point data types. The square root function is computed using the Newton-Raphson algorithm. This is an iterative algorithm of the form:

  
      x1 = x0 - f(x0)/f'(x0)  
 

where x1 is the current estimate, x0 is the previous estimate and f'(x0) is the derivative of f() evaluated at x0. For the square root function, the algorithm reduces to:

  
     x0 = in/2                         [initial guess]  
     x1 = 1/2 * ( x0 + in / x0)        [each iteration]  
 

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Function Documentation

arm_status arm_sqrt_q31	(	q31_t	in,
		q31_t *	pOut
	)

Q31 square root function.

Parameters:

[in]	in	input value. The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF.
[out]	*pOut	square root of input value.

Returns:

The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if in is negative value and returns zero output for negative values.

Definition at line 44 of file arm_sqrt_q31.c.

arm_status arm_sqrt_q15	(	q15_t	in,
		q15_t *	pOut
	)

Q15 square root function.

Parameters:

[in]	in	input value. The range of the input value is [0 +1) or 0x0000 to 0x7FFF.
[out]	*pOut	square root of input value.

Returns:

The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if in is negative value and returns zero output for negative values.

Definition at line 45 of file arm_sqrt_q15.c.

static INLINE arm_status arm_sqrt_f32	(	float32_t	in,
		float32_t *	pOut
	)		[static]

Floating-point square root function.

Parameters:

[in]	in	input value.
[out]	*pOut	square root of input value.

Returns:

The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if in is negative value and returns zero output for negative values.

Definition at line 5609 of file arm_math.h.