mpir::util

Struct SumArctan

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pub struct SumArctan {
    pub ax: Vec<(ui_t, ui_t, ui_t)>,
}
Expand description

SumArctan

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§ax: Vec<(ui_t, ui_t, ui_t)>

ax: Vec<(sgn: ui_t, a: ui_t, x: ui_t)>

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impl SumArctan

impl SumArctan

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pub fn sum_arctan_gregory(&self, m: ui_t) -> mpf_s

calc pi/4 sum arctan Gregory

  • arctan x = sigma[n=0->inf]{(-1 ** n) * x**(2n+1) / (2n+1)}
  • sum_n = sigma[k=0->ax.len](a_k * arctan_n x_k)
  • result = sigma[n=0->m]sum_n
  • inner loop may be slow (should be outer mul a_k) to check stop iterator

Trait Implementations§

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impl From<Vec<(i64, u64)>> for SumArctan

impl From<Vec<(si_t, ui_t)>> for SumArctan

  • from Vec<(a: si_t, x: ui_t)>
  • to Vec<(sgn: ui_t, a: ui_t, x: ui_t)>
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fn from(ax: Vec<(si_t, ui_t)>) -> Self

SumArctan from Vec<(si_t, ui_t)>

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