7.3. constants — Mathematical constants¶
This module contains some common mathematical constants, implement as
constexpr double variables.
7.3.1. Standard POSIX constants¶
If the standard POSIX mathematical constants are defined as macros, this modules
undefines them. These constant are reintroduced in the namespace polder::math,
no matter whether they were already defined as macros.
-
constexpr double
math::M_E¶ Value of \(e\).
-
constexpr double
math::M_LOG2E¶ Value of \(\log_2{e}\).
-
constexpr double
math::M_LOG10E¶ Value of \(\log_{10}{e}\).
-
constexpr double
math::M_LN2¶ Value of \(\ln{2}\).
-
constexpr double
math::M_LN10¶ Value of \(\ln{10}\).
-
constexpr double
math::M_PI¶ Value of \(\pi\).
-
constexpr double
math::M_PI_2¶ Value of \(\pi/2\).
-
constexpr double
math::M_PI_4¶ Value of \(\pi/4\).
-
constexpr double
math::M_1_PI¶ Value of \(1/\pi\).
-
constexpr double
math::M_2_PI¶ Value of \(2/\pi\).
-
constexpr double
math::M_2_SQRTPI¶ Value of \(2/\sqrt{\pi}\).
-
constexpr double
math::M_SQRT2¶ Value of \(\sqrt{2}\).
-
constexpr double
math::M_SQRT1_2¶ Value of \(1/\sqrt{2}\).
7.3.2. Unit circle constants¶
-
constexpr double
math::M_PI_3¶ Value of \(\pi/3\).
-
constexpr double
math::M_PI_6¶ Value of \(\pi/6\).
-
constexpr double
math::M_2PI_3¶ Value of \(2*\pi/3\).
-
constexpr double
math::M_3PI_4¶ Value of \(3*\pi/4\).
-
constexpr double
math::M_5PI_6¶ Value of \(5*\pi/6\).
-
constexpr double
math::M_7PI_6¶ Value of \(7*\pi/6\).
-
constexpr double
math::M_5PI_4¶ Value of \(5*\pi/4\).
-
constexpr double
math::M_4PI_3¶ Value of \(4*\pi/3\).
-
constexpr double
math::M_5PI_3¶ Value of \(5*\pi/3\).
-
constexpr double
math::M_7PI_4¶ Value of \(7*\pi/4\).
-
constexpr double
math::M_11PI_6¶ Value of \(11*\pi/6\).
-
constexpr double
math::M_SQRT2_2¶ Value of \(\sqrt{2}/2\).
-
constexpr double
math::M_SQRT2_3¶ Value of \(\sqrt{2}/3\).