README.md

Alfred workflow: Math tools

Description:

A set of useful and convenient math tools.

Download:

Go here and download it directly.

NOTE: As of MacOS Monterey 12.3, the builtin Python2 has been removed. You may need to manually install it and change the language interpreter in the Script Filter to an installed Python path.

1) Simplify fractions

Examples:

• frac .11 ==> .11 = 11 / 100
• frac 4/6 ==> 4/6 = 2 / 3
• frac -1.4/2.2 ==> -1.4/2.2 = -7 / 11

2) Greatest common divisor

Examples:

3) Least common multiple

Examples:

4) Simplify surds

Examples:

• sqrt .0144 ==> √(.0144) = 3/25 = 0.12
• sqrt 3 8/81 ==> ³√(8/81) = (2/3) ³√(1/3) = 0.462240849567

Note:

Negative numbers are not supported.

5) Log functions

Examples:

• log 5 ==> log₁₀(5) = 0.698970004336
• log2 1.0001 ==> log₂(1.0001) = 0.000144262291095
• ln e ==> ln(e) = 1.0

Note:

e=2.718281828... can be used only in some simple cases, and in most cases it is used as the scientific notation.

6) Prime factorization

Examples:

• factor 100 ==> factor(100) = [1, 2, 2, 5, 5]
• factor 31 ==> factor(31) = [1, 31]

Note:

The maximum value of input integer is limited in case of memory overflow.

7) Permutations and Combinations

Examples:

• C( 4 2 ==> C(4, 2) = 6
• c( 1000 3 ==> C(1000, 3) = 166167000
• P( 4 2 ==> P(4, 2) = 12
• p( 1000 3 ==> P(1000, 3) = 997002000

Note:

The maximum value of m is limited for both permutations and combinations.

8) Base conversion

Examples:

• num 10 ==> base₂ = 0b1010; base₈ = 012; base₁₆ = 0xa
• num 0b101 ==> base₈ = 05; base₁₀ = 5; base₁₆ = 0x5
• num 077 ==> base₂ = 0b111111; base₁₀ = 63; base₁₆ = 0x3f
• num 0o77 ==> base₂ = 0b111111; base₈ = 077; base₁₀ = 63; base₁₆ = 0x3f
• num 0x24 ==> base₂ = 0b100100; base₈ = 044; base₁₀ = 36

9) Bitwise Calculation

Examples:

supported operations:

• >> : left shift
• << : right shift
• | : bitwise OR
• & : bitwise AND
• ^ : bitwise XOR
• ~ : bitwise NOT
• + : add
• - : subtract
• * : mulitply
• // : floor divide

10) Time conversion

Examples:

• time 3600 ==>
  • seconds(3600) = 3600.0
  • minutes(3600) = 60.0
  • hours(3600) = 1.0
  • days(3600) = 0.041666666666666664
  • %day-%H:%M:%S(3600) = 1:00:00
• time 600:10 ==>
  • seconds(600:10) = 36010.0
  • minutes(600:10) = 600.1666666666666
  • hours(600:10) = 10.002777777777778
  • days(600:10) = 0.4167824074074074
  • %day-%H:%M:%S(600:10) = 10:00:10
• time 1:59:32 ==>
  • seconds(1:59:32) = 7172.0
  • minutes(1:59:32) = 119.53333333333333
  • hours(1:59:32) = 1.9922222222222221
  • days(1:59:32) = 0.08300925925925925
  • %day-%H:%M:%S(1:59:32) = 1:59:32
• time 5-13:44:32 ==>
  • seconds(5-13:44:32) = 481472.0
  • minutes(5-13:44:32) = 8024.533333333334
  • hours(5-13:44:32) = 133.7422222222222
  • days(5-13:44:32) = 5.572592592592593
  • %day-%H:%M:%S(5-13:44:32) = 5-13:44:32