Class scalar_constants¶

`class` scalar_constants<T> simd ¶

template <typename T>
struct scalar_constants { … }

Collection of mathematical and machine constants for the scalar type T .

Template parameters
T	The scalar numeric type (e.g. `float` , `double` ).

`function` pi_s(int, int) ¶

constexpr static T pi_s(int m, int d = 1) { … }

Returns π scaled by m / d .

Parameters
m	Numerator multiplier.
d	Denominator divisor (defaults to 1).

Returns
	`pi * m / d` .

Fully qualified name: kfr::scalar_constants<T>::pi_s(int, int)

Declared at simd/constants.hpp:75

`function` recip_pi_s(int, int) ¶

constexpr static T recip_pi_s(int m, int d = 1) { … }

Returns the reciprocal of π scaled by m / d .

Parameters
m	Numerator multiplier.
d	Denominator divisor (defaults to 1).

Returns
	`recip_pi * m / d` .

Fully qualified name: kfr::scalar_constants<T>::recip_pi_s(int, int)

Declared at simd/constants.hpp:82

`variable` pi ¶

constexpr static T pi = static_cast<T>(3.1415926535897932384626433832795)

The mathematical constant π (pi).

Template parameters
T	The numeric type.

Fully qualified name: kfr::scalar_constants<T>::pi

Declared at simd/constants.hpp:88

`variable` sqr_pi ¶

constexpr static T sqr_pi = static_cast<T>(9.8696044010893586188344909998762)

The square of π (pi²).

Template parameters
T	The numeric type.

Fully qualified name: kfr::scalar_constants<T>::sqr_pi

Declared at simd/constants.hpp:94

`variable` recip_pi ¶

constexpr static T recip_pi = static_cast<T>(0.31830988618379067153776752674503)

The reciprocal of π (1/π).

Template parameters
T	The numeric type.

Fully qualified name: kfr::scalar_constants<T>::recip_pi

Declared at simd/constants.hpp:100

`variable` degtorad ¶

constexpr static T degtorad = static_cast<T>(pi / 180)

Degrees to radians conversion factor (π / 180).

Template parameters
T	The numeric type.

Fully qualified name: kfr::scalar_constants<T>::degtorad

Declared at simd/constants.hpp:106

`variable` radtodeg ¶

constexpr static T radtodeg = static_cast<T>(pi * 180)

Radians to degrees conversion factor (π * 180).

Template parameters
T	The numeric type.

Fully qualified name: kfr::scalar_constants<T>::radtodeg

Declared at simd/constants.hpp:112

`variable` e ¶

constexpr static T e = static_cast<T>(2.718281828459045235360287471352662)

The mathematical constant e (Euler's number).

Template parameters
T	The numeric type.

Fully qualified name: kfr::scalar_constants<T>::e

Declared at simd/constants.hpp:118

`variable` recip_log_2 ¶

constexpr static T recip_log_2 = static_cast<T>(1.442695040888963407359924681001892137426645954)

The reciprocal of the natural logarithm of 2 (1 / ln(2)).

Template parameters
T	The numeric type.

Fully qualified name: kfr::scalar_constants<T>::recip_log_2

Declared at simd/constants.hpp:124

`variable` recip_log_10 ¶

constexpr static T recip_log_10 = static_cast<T>(0.43429448190325182765112891891661)

The reciprocal of the natural logarithm of 10 (1 / ln(10)).

Template parameters
T	The numeric type.

Fully qualified name: kfr::scalar_constants<T>::recip_log_10

Declared at simd/constants.hpp:130

`variable` log_2 ¶

constexpr static T log_2 = static_cast<T>(0.69314718055994530941723212145818)

The natural logarithm of 2 (ln(2)).

Template parameters
T	The numeric type.

Fully qualified name: kfr::scalar_constants<T>::log_2

Declared at simd/constants.hpp:136

`variable` log_10 ¶

constexpr static T log_10 = static_cast<T>(2.3025850929940456840179914546844)

The natural logarithm of 10 (ln(10)).

Template parameters
T	The numeric type.

Fully qualified name: kfr::scalar_constants<T>::log_10

Declared at simd/constants.hpp:142

`variable` sqrt_2 ¶

constexpr static T sqrt_2 = static_cast<T>(1.4142135623730950488016887242097)

The square root of 2 (√2).

Template parameters
T	The numeric type.

Fully qualified name: kfr::scalar_constants<T>::sqrt_2

Declared at simd/constants.hpp:148

`variable` fold_constant_div ¶

constexpr static T fold_constant_div = choose_const<T>(
    KFR_FP(0x1.921fb6p-1f, 7.8539818525e-01f), KFR_FP(0x1.921fb54442d18p-1, 7.853981633974482790e-01))

Constant π/2 used as the folding divisor in trigonometric argument reduction.

Fully qualified name: kfr::scalar_constants<T>::fold_constant_div

Declared at simd/constants.hpp:155

`variable` fold_constant_hi ¶

constexpr static T fold_constant_hi = choose_const<T>(
    KFR_FP(0x1.922000p-1f, 7.8540039062e-01f), KFR_FP(0x1.921fb40000000p-1, 7.853981256484985352e-01))

High part of the π/2 folding constant (Cody-Waite reduction).

Fully qualified name: kfr::scalar_constants<T>::fold_constant_hi

Declared at simd/constants.hpp:161

`variable` fold_constant_rem1 ¶

constexpr static T fold_constant_rem1 =
    choose_const<T>(KFR_FP(-0x1.2ae000p-19f, -2.2267922759e-06f),
                    KFR_FP(0x1.4442d00000000p-25, 3.774894707930798177e-08))

First remainder term of the π/2 folding constant (Cody-Waite reduction).

Fully qualified name: kfr::scalar_constants<T>::fold_constant_rem1

Declared at simd/constants.hpp:166

`variable` fold_constant_rem2 ¶

constexpr static T fold_constant_rem2 =
    choose_const<T>(KFR_FP(-0x1.de973ep-32f, -4.3527578764e-10f),
                    KFR_FP(0x1.8469898cc5170p-49, 2.695151429079059484e-15))

Second remainder term of the π/2 folding constant (Cody-Waite reduction).

Fully qualified name: kfr::scalar_constants<T>::fold_constant_rem2

Declared at simd/constants.hpp:172

`variable` epsilon ¶

constexpr static T epsilon = std::numeric_limits<T>::epsilon()

The machine epsilon — the smallest value such that 1 + epsilon ≠ 1.

Template parameters
T	The numeric type.

Fully qualified name: kfr::scalar_constants<T>::epsilon

Declared at simd/constants.hpp:179

`variable` infinity ¶

constexpr static T infinity = std::numeric_limits<T>::infinity()

The representation of positive infinity for the type T.

Template parameters
T	The numeric type.

Fully qualified name: kfr::scalar_constants<T>::infinity

Declared at simd/constants.hpp:185

`variable` neginfinity ¶

constexpr static T neginfinity = -std::numeric_limits<T>::infinity()

The representation of negative infinity for the type T.

Template parameters
T	The numeric type.

Fully qualified name: kfr::scalar_constants<T>::neginfinity

Declared at simd/constants.hpp:191

`variable` qnan ¶

constexpr static T qnan = std::numeric_limits<T>::quiet_NaN()

A quiet NaN (Not-a-Number) value for the type T. This value does not raise floating-point exceptions.

Template parameters
T	The numeric type.

Fully qualified name: kfr::scalar_constants<T>::qnan

Declared at simd/constants.hpp:198

Fully qualified name: kfr::scalar_constants<T>

Declared at simd/constants.hpp:67

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Class scalar_constants¶