exp_impl_float()

float fl::exp_impl_float

(

float

value

)

Definition at line 80 of file math.cpp.hpp.

                                  {
    if (value > 10.0f)
        return 22026.465794806718f; // e^10 approx
    if (value < -10.0f)
        return 0.0000453999297625f; // e^-10 approx
 
    // For negative values, use exp(x) = 1/exp(-x) to keep the Taylor series
    // input non-negative where it converges well with limited terms.
    if (value < 0.0f) {
        return 1.0f / exp_impl_float(-value);
    }
 
    float result = 1.0f;
    float term = 1.0f;
    for (int i = 1; i < 10; ++i) {
        term *= value / static_cast<float>(i);
        result += term;
    }
    return result;
}

References exp_impl_float(), and type_rank< T >::value.

Referenced by exp(), exp_impl_float(), expf(), and pow_impl_float().

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