mirror of https://gitlab.com/rnger/amath
174 lines
4.5 KiB
Groff
174 lines
4.5 KiB
Groff
.TH "amath" 1 "Wed Mar 1 2017" "Version 1.7.0" "amath" \" -*- nroff -*-
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.ad l
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.nh
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.SH NAME
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amath \- Statements and functions
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.SH SYNOPSIS
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\fCamath [expression]\fP
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.SH Description
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amath(1) features a case sensitive command line interface, internal
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IEEE 754 calculations with 15 significant digits, calculations with
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real and complex numbers, variables and user defined functions,
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logarithmic and exponential functions, trigonometric and hyperbolic
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function and selected mathematical constants and rounding functions.
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.SH "Statements"
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.PP
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.nf
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clear Clear console window
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def Define function
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delete Delete variable or function
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digits Set number of significant digits
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eval Evaluate arithmetic expression
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execute Execute statements in a file
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functions Show list of user defined functions
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input Change numeral input system
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help Show basic help text
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output Change numeral output system
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list Show content of a directory
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show Show content of a file
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load Load variable and functions from file
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save Save variable and functions to file
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variables Show list of variables
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version Show version string
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memory Show internal memory usage
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exit Exit program
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.fi
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.PP
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.SH "Operators"
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.PP
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.nf
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+ Mathematical addition.
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- Mathematical subtraction.
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* Mathematical multiplication.
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/ Mathematical division.
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^ Mathematical exponentiation.
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= Assignment of variable values.
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| Absolute value of number.
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.SH "Variables and constant"
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.PP
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.nf
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pi Trigonometric constant
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e Euler's number
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i Imaginary unit
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ins Result of last calculation
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.fi
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.PP
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.SH "Base functions"
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.PP
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.nf
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abs Absolute value of number
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sgn Mathematical signum function
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round Round to nearest integer number
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trunc Discard fraction part of number
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floor Mathematical floor function
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ceil Mathematical ceiling function
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sqrt Square root function (exp 1/2)
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cbrt Cube root function (exp 1/3)
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lb Binary logarithm function (base 2)
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ln Natural logarithm function (base e)
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lg Common logarithm function (base 10)
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.fi
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.PP
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.SH "Trigonometric functions"
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.PP
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.nf
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sin Trigonometric sine function
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cos Trigonometric cosine function
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tan Trigonometric tangent function
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cot Trigonometric cotangent function
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sec Trigonometric secant function
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csc Trigonometric cosecant function
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arcsin Inverse trigonometric sine function
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arccos Inverse trigonometric cosine function
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arctan Inverse trigonometric tangent function
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arccot Inverse trigonometric cotangent function
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arcsec Inverse trigonometric secant function
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arccsc Inverse trigonometric cosecant function
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.fi
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.PP
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.SH "Hyperbolic functions"
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.PP
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.nf
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sinh Hyperbolic sine function
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cosh Hyperbolic cosine function
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tanh Hyperbolic tangent function
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coth Hyperbolic cotangent function
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sech Hyperbolic secant function
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csch Hyperbolic cosecant function
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arcsinh Inverse hyperbolic sine function
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arccosh Inverse hyperbolic cosine function
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arctanh Inverse hyperbolic tangent function
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arccoth Inverse hyperbolic cotangent function
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arcsech Inverse hyperbolic secant function
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arccsch Inverse hyperbolic cosecant function
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.fi
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.PP
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.SH "Early trigonometric functions"
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.PP
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.nf
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ver Versed sine function
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vcs Versed cosine function
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cvs Coversed sine function
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cvc Coversed cosine function
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hv Haversed sine function
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hvc Haversed cosine function
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hcv Hacoversed sine function
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hcc Hacoversed cosine function
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arcver Inverse versed sine function
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arcvcs Inverse versed cosine function
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arccvs Inverse coversed sine function
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arccvc Inverse coversed cosine function
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archv Inverse haversed sine function
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archvc Inverse haversed cosine function
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archcv Inverse hacoversed sine function
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archcc Inverse hacoversed cosine function
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.fi
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.PP
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.SH "Example script"
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.PP
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.nf
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round(1.5461);round(-1.5461);
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ceil(43.5461);ceil(-43.5461);
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floor(39.9531);floor(-39.9531);
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trunc(23.827);trunc(-23.827);
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sqrt(100);sqrt(52.23);
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.fi
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.PP
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.SH "Example script with functions"
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.PP
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.nf
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f(x)=x*2+1;
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g(y)=y^2+y*1.5+2;
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a=2;b=3;c=a+b;
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vars;funcs;
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f(2.2);c+1.1;
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.fi
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.PP
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.SH "Example script with complex numbers"
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.PP
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.nf
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cos(1+2i);
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sin(1+2i);
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tan(1+2i);
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coth(1+2i);
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sech(1+2i);
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csch(1+2i);
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.fi
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.PP
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.SH "See also"
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.PP
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amathc(3), amathr(3), amathi(3)
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