math Namespace Reference

PyMite's math module, using Python 2.6 math library as a reference https://docs.python.org/2.6/library/math.html. More...

Functions
Number theoretic and representation functions
def	ceil (x)
	Return the ceiling of x as a float, the smallest integer value greater than or equal to x. More...
def	copysign (x, y)
	Return x with the sign of y. More...
def	fabs (x)
	Return the absolute value of x. More...
def	factorial (x)
	Return x factorial. More...
def	floor (x)
	Return the floor of x as a float, the largest integer value less than or equal to x. More...
def	fmod (x, y)
	Return fmod(x, y) (modulus/remainder), as defined by the platform C library. More...
def	frexp (x)
	Return the mantissa and exponent of x as the pair (m, e). More...
def	fsum (list)
	Return a floating point sum of items in the list/tuple. More...
def	isinf (x)
	Check if the float x is positive or negative infinity. More...
def	isnan (x)
	Check if the float x is a NaN (not a number). More...
def	ldexp (x, exp)
	Return x * (2**exp). More...
def	modf (x)
	Return the fractional and integer parts of x. More...
def	trunc (x)
	Return the nearest integral value that is not larger in magnitude than x. More...
Trigonometric functions
def	acos (x)
	Return the arc cosine of x, in radians. More...
def	asin (x)
	Return the arc sine of x, in radians. More...
def	atan (x)
	Return the arc tangent of x, in radians. More...
def	atan2 (y, x)
	Return atan(y / x), in radians. More...
def	cos (x)
	Return the cosine of x radians. More...
def	hypot (x, y)
	Return the Euclidean norm, sqrt(x*x + y*y). More...
def	sin (x)
	Return the sine of x radians. More...
def	tan (x)
	Return the tangent of x radians. More...
Angular conversion
def	degrees (x)
	Converts angle x from radians to degrees. More...
def	radians (x)
	Converts angle x from degrees to radians. More...
Hyperbolic functions
def	acosh (x)
	Return the inverse hyperbolic cosine of x. More...
def	asinh (x)
	Return the inverse hyperbolic sine of x. More...
def	atanh (x)
	Return the inverse hyperbolic tangent of x. More...
def	cosh (x)
	Return the hyperbolic cosine of x. More...
def	sinh (x)
	Return the hyperbolic sine of x. More...
def	tanh (x)
	Return the hyperbolic tangent of x. More...
def	is_prime (n)

Power and logarithmic functions
float	pi = 3.1415926535897931
	The mathematical constant PI = 3.141592..., to available precision. More...
float	e = 2.7182818284590451
	The mathematical constant e = 2.718281..., to available precision. More...
def	exp (x)
	Return e**x. More...
def	log (x, base=None)
	With one argument, return the natural logarithm of x (to base e). More...
def	log1p (x)
	Return the natural logarithm of 1+x (base e). More...
def	log10 (x)
	Return the base-10 logarithm of x. More...
def	pow (x, y)
	Return x raised to the power y. More...
def	sqrt (x)
	Return the square root of x. More...

Detailed Description

PyMite's math module, using Python 2.6 math library as a reference https://docs.python.org/2.6/library/math.html.

Function Documentation

ceil()

def math.ceil

(

x

)

Return the ceiling of x as a float, the smallest integer value greater than or equal to x.

copysign()

def math.copysign	(		x,
			y
	)

Return x with the sign of y.

fabs()

def math.fabs

(

x

)

Return the absolute value of x.

factorial()

def math.factorial

(

x

)

Return x factorial.

Raises ValueError if x is negative.

floor()

def math.floor

(

x

)

Return the floor of x as a float, the largest integer value less than or equal to x.

fmod()

def math.fmod	(		x,
			y
	)

Return fmod(x, y) (modulus/remainder), as defined by the platform C library.

frexp()

def math.frexp

(

x

)

Return the mantissa and exponent of x as the pair (m, e).

m is a float and e is an integer such that x == m * 2**e exactly. If x is zero, returns (0.0, 0), otherwise 0.5 <= abs(m) < 1. This is used to "pick apart" the internal representation of a float in a portable way.

fsum()

def math.fsum

(

list

)

Return a floating point sum of items in the list/tuple.

isinf()

def math.isinf

(

x

)

Check if the float x is positive or negative infinity.

isnan()

def math.isnan

(

x

)

Check if the float x is a NaN (not a number).

ldexp()

def math.ldexp	(		x,
			exp
	)

Return x * (2**exp).

This is essentially the inverse of function frexp().

modf()

def math.modf

(

x

)

Return the fractional and integer parts of x.

Both results carry the sign of x and are floats.

trunc()

def math.trunc

(

x

)

Return the nearest integral value that is not larger in magnitude than x.

exp()

def math.exp

(

x

)

Return e**x.

log()

def math.log	(		x,
			base = None
	)

With one argument, return the natural logarithm of x (to base e).

With two arguments, return the logarithm of x to the given base, calculated as log(x)/log(base)

log1p()

def math.log1p

(

x

)

Return the natural logarithm of 1+x (base e).

The result is calculated in a way which is accurate for x near zero.

log10()

def math.log10

(

x

)

Return the base-10 logarithm of x.

This is usually more accurate than log(x, 10)

pow()

def math.pow	(		x,
			y
	)

Return x raised to the power y.

sqrt()

def math.sqrt

(

x

)

Return the square root of x.

acos()

def math.acos

(

x

)

Return the arc cosine of x, in radians.

asin()

def math.asin

(

x

)

Return the arc sine of x, in radians.

atan()

def math.atan

(

x

)

Return the arc tangent of x, in radians.

atan2()

def math.atan2	(		y,
			x
	)

Return atan(y / x), in radians.

The result is between -pi and pi. The vector in the plane from the origin to point (x, y) makes this angle with the positive X axis. The point of atan2() is that the signs of both inputs are known to it, so it can compute the correct quadrant for the angle. For example, atan(1) and atan2(1, 1) are both pi/4, but atan2(-1, -1) is -3*pi/4.

cos()

def math.cos

(

x

)

Return the cosine of x radians.

hypot()

def math.hypot	(		x,
			y
	)

Return the Euclidean norm, sqrt(x*x + y*y).

This is the length of the vector from the origin to point (x, y).

sin()

def math.sin

(

x

)

Return the sine of x radians.

tan()

def math.tan

(

x

)

Return the tangent of x radians.

degrees()

def math.degrees

(

x

)

Converts angle x from radians to degrees.

radians()

def math.radians

(

x

)

Converts angle x from degrees to radians.

acosh()

def math.acosh

(

x

)

Return the inverse hyperbolic cosine of x.

asinh()

def math.asinh

(

x

)

Return the inverse hyperbolic sine of x.

atanh()

def math.atanh

(

x

)

Return the inverse hyperbolic tangent of x.

cosh()

def math.cosh

(

x

)

Return the hyperbolic cosine of x.

sinh()

def math.sinh

(

x

)

Return the hyperbolic sine of x.

tanh()

def math.tanh

(

x

)

Return the hyperbolic tangent of x.

is_prime()

def math.is_prime

(

n

)

Variable Documentation

pi

float math.pi = 3.1415926535897931

The mathematical constant PI = 3.141592..., to available precision.

e

float math.e = 2.7182818284590451

The mathematical constant e = 2.718281..., to available precision.