OpenEuphoria Manual

8.26 Math Constants

8.26.1 Constants

8.26.1.1 PI

include std/mathcons.e
namespace mathcons
public constant PI

PI is the ratio of a circle's circumference to it's diameter.

PI = C / D :: C = PI * D :: C = PI * 2 * R(radius)

8.26.1.2 QUARTPI

include std/mathcons.e
namespace mathcons
public constant QUARTPI

Quarter of PI

8.26.1.3 HALFPI

include std/mathcons.e
namespace mathcons
public constant HALFPI

Half of PI

8.26.1.4 TWOPI

include std/mathcons.e
namespace mathcons
public constant TWOPI

Two times PI

8.26.1.5 PISQR

include std/mathcons.e
namespace mathcons
public constant PISQR

PI ^ 2

8.26.1.6 INVSQ2PI

include std/mathcons.e
namespace mathcons
public constant INVSQ2PI

1 / (sqrt(2PI))

8.26.1.7 PHI

include std/mathcons.e
namespace mathcons
public constant PHI

phi => Golden Ratio = (1 + sqrt(5)) / 2

8.26.1.8 E

include std/mathcons.e
namespace mathcons
public constant E

Euler (e)The base of the natural logarithm.

8.26.1.9 LN2

include std/mathcons.e
namespace mathcons
public constant LN2

ln(2) :: 2 = power(E, LN2)

8.26.1.10 INVLN2

include std/mathcons.e
namespace mathcons
public constant INVLN2

1 / (ln(2))

8.26.1.11 LN10

include std/mathcons.e
namespace mathcons
public constant LN10

ln(10) :: 10 = power(E, LN10)

8.26.1.12 INVLN10

include std/mathcons.e
namespace mathcons
public constant INVLN10

1 / ln(10)

8.26.1.13 SQRT2

include std/mathcons.e
namespace mathcons
public constant SQRT2

sqrt(2)

8.26.1.14 HALFSQRT2

include std/mathcons.e
namespace mathcons
public constant HALFSQRT2

sqrt(2)/ 2

8.26.1.15 SQRT3

include std/mathcons.e
namespace mathcons
public constant SQRT3

Square root of 3

8.26.1.16 DEGREES_TO_RADIANS

include std/mathcons.e
namespace mathcons
public constant DEGREES_TO_RADIANS

Conversion factor: Degrees to Radians = PI / 180

8.26.1.17 RADIANS_TO_DEGREES

include std/mathcons.e
namespace mathcons
public constant RADIANS_TO_DEGREES

Conversion factor: Radians to Degrees = 180 / PI

8.26.1.18 EULER_GAMMA

include std/mathcons.e
namespace mathcons
public constant EULER_GAMMA

Gamma (Euler Gamma)

8.26.1.19 SQRTE

include std/mathcons.e
namespace mathcons
public constant SQRTE

sqrt(e)

8.26.1.20 PINF

include std/mathcons.e
namespace mathcons
public constant PINF

Positive Infinity

8.26.1.21 MINF

include std/mathcons.e
namespace mathcons
public constant MINF

Negative Infinity

8.26.1.22 SQRT5

include std/mathcons.e
namespace mathcons
public constant SQRT5

sqrt(5)