Rational Constants

Syntax	Description
genType zero<genType>()	Returns The value of \(0\)
genType one<genType>()	Returns The value of \(1\)
genType one_half<genType>()	Returns The value of \(\frac{1}{2}\)
genType three_over_two<genType>()	Returns The value of \(\frac{3}{2}\)

Irrational Constants

Syntax	Description
genType two_thirds<genType>()	Returns The value of \(\frac{2}{3}\) with the highest precision for \(genType\)
genType sqrt_two<genType>()	Returns The value of \(\sqrt{2}\) with the highest precision for \(genType\)
genType sqrt_three<genType>()	Returns The value of \(\sqrt{3}\) with the highest precision for \(genType\)
genType sqrt_five<genType>()	Returns The value of \(\sqrt{5}\) with the highest precision for \(genType\)
genType sqrt_seven<genType>()	Returns The value of \(\sqrt{7}\) with the highest precision for \(genType\)
genType sqrt_ten<genType>()	Returns The value of \(\sqrt{10}\) with the highest precision for \(genType\)
genType one_over_sqrt_two<genType>()	Returns The value of \(\frac{1}{\sqrt{2}}\) with the highest precision for \(genType\)
genType one_over_sqrt_three<genType>()	Returns The value of \(\frac{1}{\sqrt{3}}\) with the highest precision for \(genType\)
genType one_over_sqrt_five<genType>()	Returns The value of \(\frac{1}{\sqrt{5}}\) with the highest precision for \(genType\)
genType cbrt_two<genType>()	Returns The value of \(\sqrt[3]{2}\) with the highest precision for \(genType\)
genType qdrt_two<genType>()	Returns The value of \(\sqrt[4]{2}\) with the highest precision for \(genType\)
genType two_raised_sqrt_two<genType>()	Returns The value of \({2}^{\sqrt{2}}\) with the highest precision for \(genType\)

π

Syntax	Description
π & τ
genType pi<genType>()	Returns The value of \(\pi\) with the highest precision for \(genType\)
genType tau<genType>()	Returns The value of \(\tau\) with the highest precision for \(genType\)
Multiples of π
genType two_pi<genType>()	Returns The value of \(2\pi\) with the highest precision for \(genType\)
genType three_pi<genType>()	Returns The value of \(3\pi\) with the highest precision for \(genType\)
genType four_pi<genType>()	Returns The value of \(4\pi\) with the highest precision for \(genType\)
genType half_pi<genType>()	Returns The value of \(\frac{\pi}{2}\) with the highest precision for \(genType\)
genType three_halves_pi<genType>()	Returns The value of \(\frac{3\pi}{2}\) with the highest precision for \(genType\)
genType third_pi<genType>()	Returns The value of \(\frac{\pi}{3}\) with the highest precision for \(genType\)
genType two_thirds_pi<genType>()	Returns The value of \(\frac{2\pi}{3}\) with the highest precision for \(genType\)
genType four_thirds_pi<genType>()	Returns The value of \(\frac{4\pi}{3}\) with the highest precision for \(genType\)
genType five_thirds_pi<genType>()	Returns The value of \(\frac{5\pi}{3}\) with the highest precision for \(genType\)
genType quarter_pi<genType>()	Returns The value of \(\frac{\pi}{4}\) with the highest precision for \(genType\)
genType three_quarters_pi<genType>()	Returns The value of \(\frac{3\pi}{4}\) with the highest precision for \(genType\)
genType five_quarters_pi<genType>()	Returns The value of \(\frac{5\pi}{4}\) with the highest precision for \(genType\)
genType seven_quarters_pi<genType>()	Returns The value of \(\frac{7\pi}{4}\) with the highest precision for \(genType\)
genType fifth_pi<genType>()	Returns The value of \(\frac{\pi}{5}\) with the highest precision for \(genType\)
genType two_fifths_pi<genType>()	Returns The value of \(\frac{2\pi}{5}\) with the highest precision for \(genType\)
genType three_fifths_pi<genType>()	Returns The value of \(\frac{3\pi}{5}\) with the highest precision for \(genType\)
genType four_fifths_pi<genType>()	Returns The value of \(\frac{4\pi}{5}\) with the highest precision for \(genType\)
genType six_fifths_pi<genType>()	Returns The value of \(\frac{6\pi}{5}\) with the highest precision for \(genType\)
genType seven_fifths_pi<genType>()	Returns The value of \(\frac{7\pi}{5}\) with the highest precision for \(genType\)
genType eight_fifths_pi<genType>()	Returns The value of \(\frac{8\pi}{5}\) with the highest precision for \(genType\)
genType eight_fifths_pi<genType>()	Returns The value of \(\frac{9\pi}{5}\) with the highest precision for \(genType\)
genType sixth_pi<genType>()	Returns The value of \(\frac{\pi}{6}\) with the highest precision for \(genType\)
genType five_sixths_pi<genType>()	Returns The value of \(\frac{5\pi}{6}\) with the highest precision for \(genType\)
genType seven_sixths_pi<genType>()	Returns The value of \(\frac{7\pi}{6}\) with the highest precision for \(genType\)
genType eleven_sixths_pi<genType>()	Returns The value of \(\frac{11\pi}{6}\) with the highest precision for \(genType\)
Reciprocals of π
genType one_over_pi<genType>()	Returns The value of \(\frac{1}{\pi}\) with the highest precision for \(genType\)
genType two_over_pi<genType>()	Returns The value of \(\frac{2}{\pi}\) with the highest precision for \(genType\)
Exponentiations of π
genType pi_sq<genType>()	Returns The value of \({\pi}^{2}\) with the highest precision for \(genType\)
genType pi_cb<genType>()	Returns The value of \({\pi}^{2}\) with the highest precision for \(genType\)
genType sqrt_pi<genType>()	Returns The value of \(\sqrt{\pi}\) with the highest precision for \(genType\)
genType one_over_sqrt_pi<genType>()	Returns The value of \(\frac{1}{\sqrt{\pi}}\) with the highest precision for \(genType\)
genType sqrt_two_pi<genType>()	Returns The value of \(\sqrt{2\pi}\) with the highest precision for \(genType\)
genType one_over_sqrt_two_pi<genType>()	Returns The value of \(\frac{1}{\sqrt{2\pi}}\) with the highest precision for \(genType\)
genType cbrt_pi<genType>()	Returns The value of \(\sqrt[3]{\pi}\) with the highest precision for \(genType\)

e

Syntax	Description
Multiples of e
genType e<genType>()	Returns The value of \(e\) with the highest precision for \(genType\)
genType half_e<genType>()	Returns The value of \(\frac{e}{2}\) with the highest precision for \(genType\)
genType two_e<genType>()	Returns The value of \(2e\) with the highest precision for \(genType\)
genType one_over_e<genType>()	Returns The value of \(\frac{1}{e}\) with the highest precision for \(genType\)
Exponentiations
genType e_sq<genType>()	Returns The value of \(e^2\) with the highest precision for \(genType\)
genType e_cb<genType>()	Returns The value of \(e^3\) with the highest precision for \(genType\)
genType sqrt_e<genType>()	Returns The value of \(\sqrt{e}\) with the highest precision for \(genType\)
genType one_over_sqrt_e<genType>()	Returns The value of \(\frac{1}{\sqrt{e}}\) with the highest precision for \(genType\)
genType e_raised_e<genType>()	Returns The value of \(e^e\) with the highest precision for \(genType\)
genType e_raised_neg_e<genType>()	Returns The value of \(e^-e\) with the highest precision for \(genType\)
Exponentiations by π
genType e_raised_pi<genType>()	Returns The value of \({e}^{ \pi}\) with the highest precision for \(genType\)
genType e_raised_neg_pi<genType>()	Returns The value of \({e}^{-\pi}\) with the highest precision for \(genType\)
genType e_raised_half_pi<genType>()	Returns The value of \({e}^{\frac{ \pi}{2}}\) with the highest precision for \(genType\)
genType e_raised_neg_half_pi<genType>()	Returns The value of \({e}^{\frac{-\pi}{2}}\) with the highest precision for \(genType\)
Exponentiations by γ
genType e_raised_gamma<genType>()	Returns The value of \({e}^{ \gamma}\) with the highest precision for \(genType\)
genType e_raised_neg_gamma<genType>()	Returns The value of \({e}^{-\gamma}\) with the highest precision for \(genType\)

Catalan's Constant

Syntax	Description
genType G<genType>()	Returns The value of \(G\) with the highest precision for \(genType\)
genType one_over_G<genType>()	Returns The value of \(\frac{1}{G}\) with the highest precision for \(genType\)
genType G_over_pi<genType>()	Returns The value of \(\frac{G}{\pi}\) with the highest precision for \(genType\)
genType pi_over_G<genType>()	Returns The value of \(\frac{\pi}{G}\) with the highest precision for \(genType\)

γ

Syntax

Description

genType y<genType>()

Returns: The value of \(\gamma\) with the highest precision for \(genType\)

genType one_over_y<genType>()

Returns: The value of \(\frac{1}{\gamma}\) with the highest precision for \(genType\)

Logarithms

Syntax	Description
genType log_two<genType>()	Returns The value of \(\log{2}\) with the highest precision for \(genType\)
genType log_three<genType>()	Returns The value of \(\log{3}\) with the highest precision for \(genType\)
genType log_five<genType>()	Returns The value of \(\log{5}\) with the highest precision for \(genType\)
genType log_seven<genType>()	Returns The value of \(\log{7}\) with the highest precision for \(genType\)
genType log_ten<genType>()	Returns The value of \(\log{10}\) with the highest precision for \(genType\)
genType one_over_log_ten<genType>()	Returns The value of \(\frac{1}{\log{10}}\) with the highest precision for \(genType\)
genType log_two_over_log_three<genType>()	Returns The value of \(\frac{\log{2}}{\log{3}}\) with the highest precision for \(genType\)
genType log_log_two<genType>()	Returns The value of \(\log{\log{2}}\) with the highest precision for \(genType\)
genType log_pi<genType>()	Returns The value of \(\log{\pi}\) with the highest precision for \(genType\)
genType log_sqrt_two<genType>()	Returns The value of \(\log{\sqrt{2}}\) with the highest precision for \(genType\)
genType log_gamma<genType>()	Returns The value of \(\log{\gamma}\) with the highest precision for \(genType\)
genType log_phi<genType>()	Returns The value of \(\log{\phi}\) with the highest precision for \(genType\)