# PlainLispForMath

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Sumário: See FormTenForty for a more complicated use of EmacsLisp for calculating income taxes in the United States.

> See FormTenForty for a more complicated use of EmacsLisp for calculating income taxes in the United States.

Generally, you can execute any Lisp expression by hitting `‘C-x C-e’` after the closing parenthesis. Example: Entering the expression ```(+ 1 2)``` into any Emacs buffer and pressing `‘C-x C-e’` after the closing parenthesis will display the result in the echo area: 3. Hitting ``M-:`’ will use the minibuffer to prompt for an expression to evaluate.

`‘C-x C-e’` calls the function `‘eval-last-sexp’`. Sexps typically include symbols, numbers, and string constants, as well as anything contained in parentheses, brackets or braces. The first symbol within the parenthesis is the function to call. After the function the arguments are listed. The expression `(+ 1 2)` can therefore be read as “apply the `+` function to the arguments `1` and `2`”.

• You can add more arguments to the function call: `(+ 1 2 3 4)` adds up to 10.
• You can use subexpressions: `(* (+ 1 2) 3)` yields 9.

The following standard mathematical functions are defined (see the Numbers node in the EmacsLispReference):

• mod,
• sin,
• cos,
• tan,
• asin,
• acos,
• atan,
• exp,
• log (with an optional argument for the base),
• log10,
• expt, and
• sqrt.

Example: `(+ (expt (sin .5) 2) (expt (cos .5) 2))` yields 1.

Watch out for implicit types. When all the arguments to math functions are integers, then some functions will return an integer result as well. If you do not want that, you must promote one of the arguments to a float.

Example: `(/ 3 2)` yields 1, `(/ 3 2.0)` yields 1.5.

See Lisp:bmi.el for an example of EmacsLisp functions that perform simple arithmetic and are also InteractiveFunctions.

See FormTenForty for a more complicated use of EmacsLisp for calculating income taxes in the United States.

CategoryCalculators