RangeReduction.inl File Reference

Namespaces
namespace	Crux
namespace	Crux::Detail

Macros
#define	RV_FMA(a, b, c)
	Fused-multiply-add: computes (a * b + c) in one operation if supported.
#define	RV_RoundToInt(x)
	Round float to nearest int (ties to even) without branches.
#define	RV_USE_COS_FROM_QUAD(q)
	True if quadrant q (0-3) indicates we should compute cosine.
#define	RV_NEGATE_FROM_QUAD(q)
	True if quadrant q (0-3) indicates the result should be negated.

Local constants for range reduction (float)
void	Crux::Detail::ReduceAngle (float x, float &outXr, unsigned int &outQuad) noexcept
	Reduce angle into [-pi/4, pi/4] and extract quadrant.

Macro Definition Documentation

RV_FMA

#define RV_FMA	(		a,
			b,
			c )

Value:

((a) * (b) + (c))

Fused-multiply-add: computes (a * b + c) in one operation if supported.

Parameters

a	First multiplicand.
b	Second multiplicand.
c	Addend.

On MSVC with FMA support, maps to _mm_fmadd_ss; otherwise falls back to (a*b + c).

RV_NEGATE_FROM_QUAD

#define RV_NEGATE_FROM_QUAD

(

q

)

Value:

(((q) & 2u) != 0u)

True if quadrant q (0-3) indicates the result should be negated.

Parameters

q	Quadrant index from ReduceAngle.

RV_RoundToInt

#define RV_RoundToInt

(

x

)

Value:

__builtin_rintf(x)

Round float to nearest int (ties to even) without branches.

Parameters

x	Value to round.

MSVC uses _mm_round_ss + _mm_cvtss_si32; GCC/Clang use __builtin_rintf.

RV_USE_COS_FROM_QUAD

#define RV_USE_COS_FROM_QUAD

(

q

)

Value:

(((q) & 1u) != 0u)

True if quadrant q (0-3) indicates we should compute cosine.

Parameters

q	Quadrant index from ReduceAngle.