Calc

Similar to UNIX BC (not really).

Usage

You can clone normally or with the --recursive flag to pull submodules.

Build with make, clean buildspace with make clean.

Enter the shell using bin/calc.

Name	Definition	Description
`_`	default to $0$	Result of previous expression
`pi`	$\pi = 3.14159...$	Constant representing PI
`e`	$e = 2.71828...$	Constant representing Euler's number
`h_deriv`	$10^{-7}$	Infintecimal constant for `nderiv`
`h_integ`	$10^{-5}$	Infintecimal constant for `ninteg`

Name	Definition	Description
`abs(x)`	$\|x\| $
`sqrt(x)`	$\sqrt{x}$
`ln(x)`	$\ln{x}$
`ln(x, b)`	$\log_{b}{x}$
`exp(x)`	$e^{x}$
`floor(x)`	$\lfloor{x}\rfloor$
`ceil(x)`	$\lceil{x}\rceil$
`round(x)`	$\lfloor{x}\rceil$
`max(a, b)`	$a \wedge b$	Maximum of $a$ and $b$
`min(a, b)`	$a \vee b$	Minimum of $a$ and $b$
`sin(θ)`	$sin(\theta)$
`cos(θ)`	$cos(\theta)$
`tan(θ)`	$tan(\theta)$
`asin(x)`	$sin^{-1}(x)$
`acos(x)`	$cos^{-1}(x)$
`atan(x)`	$tan^{-1}(x)$
`sinh(x)`	$\frac{e^{x} - e^{x}}{2}$	Hyperbolic sine
`cosh(x)`	$\frac{e^{x} + e^{x}}{2}$	Hyperbolic cosine
`tanh(x)`	$\frac{e^{x} - e^{x}}{e^{x} + e^{x}}$	Hyperbolic tangent
`hypot2(a, b)`	$\sqrt{a^2 + b^2}$
`hypot3(a, b, c)`	$\sqrt{a^2 + b^2 + c^2}$
`eq(a, b)`	$\begin{cases}1 &a = b,\ -1 & a \neq b.\end{cases}$	Equality
`neq(a, b)`	$\begin{cases}1 &a \neq b,\ -1 & a = b.\end{cases}$	Inverse equality
`lt(a, b)`	$\begin{cases}1 &a < b,\ -1 & a \geq b.\end{cases}$	Less than
`lte(a, b)`	$\begin{cases}1 &a \leq b,\ -1 & a > b.\end{cases}$	Less than or equal to
`gt(a, b)`	$\begin{cases}1 &a > b,\ -1 & a \leq b.\end{cases}$	Greater than
`gte(a, b)`	$\begin{cases}1 &a \geq b,\ -1 & a < b.\end{cases}$	Greater than or equal to
`ifelse(z, a, b)`	$\begin{cases}a &z \neq 0,\ b & z = 0.\end{cases}$	If/else ternary
`while(z, f)`	$\sum\limits_{z \neq 0}{f}$	While loop / summation
`nderiv(f, x, n)`	${\frac{df}{dx} \rvert_{x=n} }$	Derivative at $n$
`ninteg(f, x, a, b)`	${\int_{a}^{b}{fdx}}$	Definite integral from $a$ to $b$