Tanh()

template<typename T = void>

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

inlinestaticconstexpr

Calculates hyperbolic tangent of a value.

Computes tanh(x) = sinh(x)/cosh(x) with optimizations to ensure accuracy and handle edge cases efficiently.

Implementation details:

• Uses sinh and cosh functions
• Automatically bounded to [-1, 1]
• Efficient edge case handling
• Preserves sign correctly

Mathematical properties preserved:

• |tanh(x)| < 1 for all finite x
• tanh(-x) = -tanh(x)
• Monotonic over entire range

Parameters

value

Input value in range [-4, 4]

Returns

Hyperbolic tangent value in range [-1, 1]