Cosh()

template<typename T = void>

static constexpr Fxp SRL::Math::Trigonometry::Cosh ( const Fxp & value )

inlinestaticconstexpr

Calculates hyperbolic cosine of a value.

Computes cosh(x) = (e^x + e^-x)/2 using the relationship cosh²(x) = 1 + sinh²(x) for efficiency.

Implementation details:

• Reuses sinh table for memory efficiency
• Exploits even function property
• Uses identity cosh²(x) = 1 + sinh²(x)
• Handles edge cases efficiently

Mathematical properties preserved:

• cosh(x) ≥ 1 for all x
• cosh(-x) = cosh(x)
• Monotonically increasing for x > 0

Parameters

value

Input value in range [-4, 4]

Returns

Hyperbolic cosine value