Calc

CLI Calculator

Usage

calc <expression>

Examples

> calc "5+5*5"
30
> calc "(5+5)*5"
50
> calc "asin(1)+sin^-1(1)"
3.141592653589793
> calc "log_3^-1(9)"
0.5
> calc "log_3(9)^-1"
-2

• the two last examples have different results because ^ has larger precedence than log so log_3^-1(9) is the same as (log_3(9))^-1, however log_3(9)^-1 is the same as log_3(9^-1)
• brackets in the last three examples are optional so asin1+sin^-1 1, log_3^-1 9 and log_3 9^-1 have the same meaning

Support

• _ after operator name means that it supports lower index
• ^ after operator name means that it supports upper index

Brackets

• use brackets (( and )) to guide the parser or to create combinations ((a b))
• use [ and ] for absolute value and to guide the parser

Constants

• pi - 3.141592653589793
• e - 2.718281828459045

Unary operators

• - - negation
• abs - absolute value
• sin^ - sinus
• cos^ - cosinus
• tan^ - tangens
• acos^ - inverse cosinus
• asin^ - inverse sinus
• atan^ - inverse tangens
• sqrt - square root
• log_^ - logarithm (base 10 with no lower index)
• ln^ - natural logarithm
• lb^ - binary logarithm
• sum^_ - sum

Binary operators

• + - addition
• - - subtraction
• * - multiplication
• *- - multiplication by negation
• / - division
• rt - root (2 rt a=sqrt(a))
• ^ - power
• C - combinations
• P - variations

Postfix operators

• ! - factorial

Indexing

• ^ - upper index
• _ - lower index

Upper index behaviour

Sum

• upper limit of the sum (if not present, 1000 is default)
• must be number or not present

Logarithmic functions

• log, ln, lg

• fun^1(a) = fun(a)
• fun^b(a) = (fun(a))^b

Goniometric functions

• sin, cos, tan, asin, acos, atan

• fun^1(a) = fun(a)
• fun^b(a) = (fun(a))^b
• fun^-1(a) = afun(a)
• afun^-1(a) = fun(a)

Lower index behaviour

Sum

• lower limit of the sum (if not present, i=1 is default)

• a=b - b is number, a is name of variable to change in the sum
• a - a is variable to change in the sum, lower limit is 1
• b - b is number, the default variable name is i

log

• log_10(a) = log(a)
• log_e(a) = ln(a)
• log_2(a) = lb(a)
• log_b(a) = logarithm of base b of a

Reserved names

• names that shouldn't be used as variable names, because in the future they may have different meaning

A, D, E, H, I, N, Q, R, Z, d, i, j, inf, nan, int, print