quilt_lang package¶

Module contents¶

The Math Ext file

mathext.amountdiv(num, minnum, maxnum)¶

Get the amount of numbers divisable by a number.

Parameters:	number – The number to use. minnum (integer) – The minimum number to check. maxnum (integer) – The maximum number to check.

>>> amountdiv(20, 1, 15)
5

mathext.circleconvert(amount, currentformat, newformat)¶

Convert a circle measurement.

Parameters:	amount (number) – The number to convert. currentformat (string) – The format of the provided value. newformat (string) – The intended format of the value.

>>> circleconvert(45, "radius", "radius")
45

>>> circleconvert(45, "radius", "diameter")
90

>>> circleconvert(45, "radius", "circumference")
282.7433388230814

>>> circleconvert(45, "diameter", "diameter")
45

>>> circleconvert(45, "diameter", "radius")
22.5

>>> circleconvert(45, "diameter", "circumference")
141.3716694115407

>>> circleconvert(45, "circumference", "circumference")
45

>>> circleconvert(45, "circumference", "radius")
7.16197243913529

>>> circleconvert(45, "circumference", "diameter")
14.32394487827058

>>> circleconvert(45, "foo1", "foo2")
Traceback (most recent call last):
    ...
ValueError: Invalid old format provided.

>>> circleconvert(45, "radius", "foo")
Traceback (most recent call last):
    ...
ValueError: Invalid new format provided.

>>> circleconvert(45, "diameter", "foo")
Traceback (most recent call last):
    ...
ValueError: Invalid new format provided.

>>> circleconvert(45, "circumference", "foo")
Traceback (most recent call last):
    ...
ValueError: Invalid new format provided.

mathext.convertbase(num, base=10)¶

Convert a number in base 10 to another base

Parameters:	num (number) – The number to convert. base (integer) – The base to convert to.

>>> convertbase(20, 6)
'32'

mathext.cube(num)¶

Check if a number is cube

Parameters:	num (number) – The number to check.

>>> cube(8)
True

mathext.even(num)¶

Check if a number is even

Parameters:	num (number) – The number to check.

>>> even(2)
True

mathext.factorial(num)¶

Find the factorial of a number

Parameters:	num (integer) – The number to find the factorial for.

>>> factorial(4)
24

mathext.fib(num)¶

Check if a number is in the Fibonacci sequence.

Parameters:	num (integer) – The number to check.

>>> fib(8)
True

>>> fib(4)
False

mathext.flipcoords(xcoord, ycoord, axis)¶

Flip the coordinates over a specific axis, to a different quadrant

Parameters:	xcoord (integer) – The x coordinate to flip ycoord (integer) – The y coordinate to flip axis (string) – The axis to flip across. Could be ‘x’ or ‘y’

>>> flipcoords(-5, 5, "y")
(5, 5)

>>> flipcoords(5, 5, "y")
(-5, 5)

>>> flipcoords(0, -5, "y")
(0, -5)

>>> flipcoords(-5, -5, "x")
(-5, 5)

>>> flipcoords(5, 5, "x")
(5, -5)

>>> flipcoords(0, -5, "x")
(0, 5)

>>> flipcoords(-5, 0, "x")
(-5, 0)

>>> flipcoords(5, 5, "foo")
Traceback (most recent call last):
    ...
ValueError: Invalid axis. Neither x nor y was specified.

mathext.fracsimplify(numerator, denominator)¶

Simplify a fraction.

Parameters:	numerator (integer) – The numerator of the fraction to simplify denominator (integer) – The denominator of the fraction to simplify
Returns:	The simplified fraction
Return type:	list

>>> fracsimplify(2, 4)
(1, 2)

mathext.getprime(n)¶

Get the nth prime number

Parameters:	n (integer) – The number representing n.

>>> getprime(3)
5

mathext.hcf(num1, num2)¶

Find the highest common factor of 2 numbers.

Parameters:	num1 (number) – The first number to find the hcf for num2 (number) – The second number to find the hcf for

>>> hcf(5, 10)
5

mathext.lcm(num1, num2)¶

Find the lowest common multiple of 2 numbers

Parameters:	num1 (number) – The first number to find the lcm for num2 (number) – The second number to find the lcm for

>>> lcm(4, 8)
8

>>> lcm(0, 0)
0

mathext.negative(num)¶

Check if a number is negative (less than 0)

Parameters:	num (number) – The number to check.

>>> negative(-1)
True

mathext.nothing(variable)¶

Check if a variable is essentially nothing.

Parameters:	variable (variable) – The variable to check.

>>> nothing(0)
True

mathext.num(value)¶

Check if a value is a type of number (decimal or integer).

Parameters:	value (object) – The value to check.

>>> num(1)
True

mathext.odd(num)¶

Check if a number is odd

Parameters:	num (number) – The number to check.

>>> odd(3)
True

mathext.positive(num)¶

Check if a number is positive (more than 0)

Parameters:	num (number) – The number to check.

>>> positive(1)
True

mathext.posneg(num)¶

Toggle a number between positive and negative.

The converter works as follows: - 1 > -1 - -1 > 1 - 0 > 0

Parameters:	num (number) – The number to toggle.

>>> posneg(2)
-2

mathext.prime(num)¶

Check if a number is a prime number.

Parameters:	num (integer) – The number to check.

>>> prime(7)
True

>>> prime(1)
False

mathext.pyth(first, second)¶

Calculate the area of a right angled trangle based on Pythagoras’ Theorem.

Parameters:	first (number) – The length of the first axis (x or y) second (number) – The length of the second axis (x or y)

>>> pyth(3, 5)
7.5

mathext.quadrant(xcoord, ycoord)¶

Find the quadrant a pair of coordinates are located in

Parameters:	xcoord (integer) – The x coordinate to find the quadrant for ycoord (integer) – The y coordinate to find the quadrant for

>>> quadrant(5, 5)
1

>>> quadrant(-5, 5)
2

>>> quadrant(-5, -5)
3

>>> quadrant(5, -5)
4

mathext.shapesides(inputtocheck, inputtype='shape')¶

Get the sides of a shape.

Parameters:	inputtocheck (string or number) – The amount of sides or the shape to be checked, depending on the value of inputtype. inputtype (string) – The type of input provided. Can be: ‘shape’, ‘sides’.

>>> shapesides(3, "sides")
'triangle'

>>> shapesides("n", "sides")
'ngon'

>>> shapesides("N", "sides")
'ngon'

>>> shapesides("foo", "sides")
'ngon'

>>> shapesides("ngon", "shape")
'n'

>>> shapesides("triangle", "shape")
3

>>> shapesides("foo", "shape")
'n'

>>> shapesides("foo", "foo")
Traceback (most recent call last):
    ...
ValueError: Invalid input type.

mathext.sigmoid(num)¶

Find the sigmoid of a number.

Parameters:	number (number) – The number to find the sigmoid of
Returns:	The result of the sigmoid
Return type:	number

>>> sigmoid(1)
0.7310585786300049

mathext.square(num)¶

Check if a number is square

Parameters:	num (number) – The number to check.

>>> square(4)
True

mathext.triangular(num)¶

Check if a number is triangular

Parameters:	num (number) – The number to check.

>>> triangular(5)
True

mathext.zero(num)¶

Check if a number is zero

Parameters:	num (number) – The number to check.

>>> zero(0)
True

Constants¶

mathext. phi: The value of phi.