AngouriMathCLI

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.TH amcli 1 "amcli" .SH DESCRIPTION Why use it?

• Free and cross-platform
• CLI interface for script automations
• Piping for complex operations
• Fast and small .SH SUBCOMMANDS .TP \fBeval\fR to evaluate into a single number, boolean, or a+bi form at for complex numbers. Expects one argument.

Example: $ amcli eval "1 / 2" 0.5 $ amcli eval "e ^ pi > pi ^ e" true

.TP \fBdiff\fR to differentiate the expression over the given variable (the first argument). Expects two arguments.

Example: $ amcli diff "x" "sin(x)" cos(x) $ amcli diff "x" "1 + x^2" 2 * x $ echo "1 + x^2" | amcli diff "x" 2 * x

.TP \fBsimp\fR to simplify the expression. Expects one argument.

Example: $ amcli simp "sin(x)^2 + cos(x)^2" 1

.TP \fBfsimp\fR to simplify the expression "faster". This one works closer to eval than to simp, but unlike eval, it won't try to collapse to a single number or boolean (e. g. sqrt(3) will stay as it is). Expects one argument.

Example: $ amcli fsimp "sin(x)^2 + cos(x)^2" 1

.TP \fBsolve\fR to solve a statement over the given variable. A statement is an expression, otherwise evaluable to true or false (e. g. "x > 3" is a statement, but "x ^ 2" is not).

When the solution set is a finite solution, all solutions are written line-by-line. Otherwise, it's written as one line.

Example: $ amcli solve "x" "x2 - 1 = 0" 1 -1 $ amcli solve x "x2 > 1" (-oo; -1) / (1; +oo)

.TP \fBlatex\fR to convert an expression into LaTeX format. Expects one argument.

Example: $ amcli latex "1/2" \frac{1}{2} $ amcli latex "(sqrt(3) + x) / limit(sin(x) / x, x, 0)" \frac{\sqrt{3}+x}{\lim_{x\to 0} \left[\frac{\sin\left(x\right)}{x}\right]}

.TP \fBsub\fR to substitute an expression instead of a variable. Expects three arguments (variable to substitute, expression to be substituted instead of the variable, expression).

Example: $ amcli sub x pi "sin(x / 3)" sin(pi / 3) $ amcli sub x "pi / 3" "sin(x)" sin(pi / 3)

.SH PIPING .TP

Any argument can be received either as a CLI argument or through standard input. For example,

amcli eval "1 + 1"

is equivalent to

echo "1 + 1" | amcli eval

This allows to pipe complex evaluations:

echo "sin(x) * cos(y)" \     # 0. initial expression
| amcli diff x \             # 1. differentiate over x
| amcli sub x y \            # 2. substitute y instead of x
| amcli diff y \             # 3. differentiate over y
| amcli sub y "pi/3" \       # 4. substitute pi/3 instead of y
| amcli simplify             # 5. simplify

Prints

-1/2 * sqrt(3)

Special symbol "_" (underscore) can be used to use stdinput instead of an argument. For instance, if you want to substitute the result of an operation into another expression:

echo "e^x" \
| amcli sub u _ "u / (1 + u)" \
| amcli sub x 10 \
| amcli eval

Here the result of echo is substituted instead of the second argument of amcli sub, not the last one.

.SH OTHER

You can bind amcli to @ using aliases. On Unix-like operating systems, add

alias @=amcli

(or specify the full path)