viva_math/constants

Mathematical constants.

High-precision constants frequently needed across scientific computing. All values are IEEE-754 double precision (≈ 15-17 significant digits).

On the Erlang target these are plain const floats. The BEAM JIT inlines them at call sites, so there is no runtime lookup cost. For tables that must be shared across many processes consider :persistent_term directly from the calling code.

Values

apery

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pub const apery: Float

Apéry’s constant ζ(3).

catalan

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pub const catalan: Float

Catalan’s constant G.

deg_to_rad

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pub const deg_to_rad: Float

Degrees → radians multiplier (π / 180).

e

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pub const e: Float

e (Euler’s number).

epsilon

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pub const epsilon: Float

Machine epsilon for f64.

euler_gamma

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pub const euler_gamma: Float

Euler-Mascheroni constant γ.

half_pi

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pub const half_pi: Float

π / 2

inv_phi

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pub const inv_phi: Float

1 / φ - reciprocal of golden ratio.

inv_pi

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pub const inv_pi: Float

1 / π

inv_sqrt_2

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pub const inv_sqrt_2: Float

1 / √2 - useful for GELU exact form.

inv_sqrt_2pi

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pub const inv_sqrt_2pi: Float

1 / √(2π) - Gaussian PDF coefficient.

inv_sqrt_pi

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pub const inv_sqrt_pi: Float

1 / √π

ln_10

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pub const ln_10: Float

ln(10) - natural log of 10.

ln_2

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pub const ln_2: Float

ln(2) - natural log of 2.

log10_e

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pub const log10_e: Float

log₁₀(e) = 1 / ln(10)

log2_e

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pub const log2_e: Float

log₂(e) = 1 / ln(2)

max_float

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pub const max_float: Float

Maximum representable positive finite double.

min_positive

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pub const min_positive: Float

Minimum positive normal double.

phi

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pub const phi: Float

φ (golden ratio): (1 + √5) / 2

pi

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pub const pi: Float

π (ratio of circumference to diameter).

quarter_pi

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pub const quarter_pi: Float

π / 4

rad_to_deg

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pub const rad_to_deg: Float

Radians → degrees multiplier (180 / π).

sqrt_2

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pub const sqrt_2: Float

√2

sqrt_2pi

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pub const sqrt_2pi: Float

√(2π) - normalization constant for Gaussian PDF.

sqrt_3

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pub const sqrt_3: Float

√3

sqrt_pi

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pub const sqrt_pi: Float

√π

sqrt_tau

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pub const sqrt_tau: Float

√τ = √(2π)

tau

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pub const tau: Float

τ = 2π (one full turn in radians).

two_over_pi

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pub const two_over_pi: Float

2 / π

viva_math - v1.2.100