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diff --git a/doc/mathop.n b/doc/mathop.n new file mode 100644 index 0000000..1dbd022 --- /dev/null +++ b/doc/mathop.n @@ -0,0 +1,210 @@ +`\" -*- nroff -*- +`\" Copyright (c) 2006 Donal K. Fellows. +`\" +`\" See the file "license.terms" for information on usage and redistribution +`\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. +`\" +`\" RCS: @(#) $Id: mathop.n,v 1.1 2006/11/26 12:52:55 dkf Exp $ +`\" +.so man.macros +.TH mathfunc n 8.5 Tcl "Tcl Mathematical Operator Commands" +.BS +`\" Note: do not modify the .SH NAME line immediately below! +.SH NAME +mathop \- Mathematical operators as Tcl commands +.SH SYNOPSIS +package require \fBTcl 8.5\fR +.sp +\fB::tcl::mathop::!\fR \fIarg\fR +.br +\fB::tcl::mathop::~\fR \fIarg\fR +.br +\fB::tcl::mathop::+\fR ?\fIarg\fR ...? +.br +\fB::tcl::mathop::\-\fR \fIarg\fR ?\fIarg\fR ...? +.br +\fB::tcl::mathop::*\fR ?\fIarg\fR ...? +.br +\fB::tcl::mathop::/\fR \fIarg\fR ?\fIarg\fR ...? +.br +\fB::tcl::mathop::%\fR \fIarg arg\fR +.br +\fB::tcl::mathop::**\fR ?\fIarg\fR ...? +.br +\fB::tcl::mathop::&\fR ?\fIarg\fR ...? +.br +\fB::tcl::mathop::|\fR ?\fIarg\fR ...? +.br +\fB::tcl::mathop::^\fR ?\fIarg\fR ...? +.br +\fB::tcl::mathop::<<\fR \fIarg arg\fR +.br +\fB::tcl::mathop::>>\fR \fIarg arg\fR +.br +\fB::tcl::mathop::==\fR ?\fIarg\fR ...? +.br +\fB::tcl::mathop::!=\fR \fIarg arg\fR +.br +\fB::tcl::mathop::<\fR ?\fIarg\fR ...? +.br +\fB::tcl::mathop::<=\fR ?\fIarg\fR ...? +.br +\fB::tcl::mathop::=>\fR ?\fIarg\fR ...? +.br +\fB::tcl::mathop::>\fR ?\fIarg\fR ...? +.br +\fB::tcl::mathop::eq\fR ?\fIarg\fR ...? +.br +\fB::tcl::mathop::ne\fR \fIarg arg\fR +.br +\fB::tcl::mathop::in\fR \fIarg list\fR +.br +\fB::tcl::mathop::ni\fR \fIarg list\fR +.sp +.BE +.SH DESCRIPTION +.PP +The commands in the \fB::tcl::mathop\fR namespace implement the same set of +operations as supported by the \fBexpr\fR command. All are exported from the +namespace, but are not imported into any other namespace by default. Note that +renaming, reimplementing or deleting any of the commands in the namespace does +\fInot\fR alter the way that the \fBexpr\fR command behaves. +.PP +The following operator commands are supported: +.DS +.ta 2c 4c 6c 8c +\fB~\fR \fB!\fR \fB+\fR \fB\-\fR \fB*\fR +\fB/\fR \fB%\fR \fB**\fR \fB&\fR \fB|\fR +\fB^\fR \fB>>\fR \fB<<\fR \fB==\fR \fBeq\fR +\fB!=\fR \fBne\fR \fB<\fR \fB<=\fR \fB>\fR +\fB>=\fR \fBin\fR \fBni\fR +.DE +.PP +.TP +\fB~\fR \fIarg\fR +Returns the bit-wise negation of \fIarg\fR. \fIArg\fR may be an integer of any +size. +.TP +\fB!\fR \fIarg\fR +Returns the boolean negation of \fIarg\fR. \fIArg\fR may be any numeric value +or any other form of boolean value. +.TP +\fB+\fR ?\fIarg\fR ...? +Returns the sum of arbitrarily many arguments. Each \fIarg\fR may be any +numeric value. If no arguments are given, the result will be zero. +.TP +\fB\-\fR \fIarg\fR ?\fIarg\fR ...? +Returns the either the negation of the first argument (if only one argument is +given) or the result of subtracting arbitrarily many additional arguments from +the first argument. Each \fIarg\fR may be any numeric value. At least one +argument must be given. +.TP +\fB*\fR ?\fIarg\fR ...? +Returns the product of arbitrarily many arguments. Each \fIarg\fR may be any +numeric value. If no arguments are given, the result will be one. +.TP +\fB/\fR \fIarg\fR ?\fIarg\fR ...? +Returns the either the reciprocal of the first argument (if only one argument +is given) or the result of dividing the first argument by arbitrarily many +additional arguments. Each \fIarg\fR may be any numeric value. At least one +argument must be given. +.TP +\fB%\fR \fIarg arg\fR +Returns the integral modulus of the first argument with respect to the +second. Each \fIarg\fR must have an integral value. +.TP +\fB**\fR ?\fIarg\fR ...? +Returns the result of raising each value to the power of the result of +recursively operating on the result of processing the following +arguments, so \fB** 2 3 4\fR is the same as \fB** 2 [** 3 4]\fR. Each +\fIarg\fR may be any numeric value. If no arguments are given, the result will +be one, and if only one argument is given, the result will be that argument. +.TP +\fB&\fR ?\fIarg\fR ...? +Returns the bit-wise AND of each of the arbitrarily many arguments. Each +\fIarg\fR must have an integral value. If no arguments are given, the result +will be minus one. +.TP +\fB|\fR ?\fIarg\fR ...? +Returns the bit-wise OR of each of the arbitrarily many arguments. Each +\fIarg\fR must have an integral value. If no arguments are given, the result +will be zero. +.TP +\fB^\fR ?\fIarg\fR ...? +Returns the bit-wise XOR of each of the arbitrarily many arguments. Each +\fIarg\fR must have an integral value. If no arguments are given, the result +will be zero. +.TP +\fB<<\fR \fIarg arg\fR +Returns the result of shifting the first argument left by the number of bits +specified in the second argument. Each \fIarg\fR must have an integral value. +.TP +\fB>>\fR \fIarg arg\fR +Returns the result of shifting the first argument right by the number of bits +specified in the second argument. Each \fIarg\fR must have an integral value. +.TP +\fB==\fR ?\fIarg\fR ...? +Returns whether each argument is equal to the arguments on each side of it in +the sense of the \fBexpr\fR == operator (\fIi.e.\fR, numeric comparison if +possible). If fewer than two arguments are given, this operation always +returns a true value. +.TP +\fBeq\fR ?\fIarg\fR ...? +Returns whether each argument is equal to the arguments on each side of it +using exact string comparison. If fewer than two arguments are given, this +operation always returns a true value. +.TP +\fB!=\fR \fIarg arg\fR +Returns whether the two arguments are not equal to each other, in the sense of +the \fBexpr\fR != operator (\fIi.e.\fR, numeric comparison if possible). +.TP +\fBne\fR \fIarg arg\fR +Returns whether the two arguments are not equal to each other using exact +string comparison. +.TP +\fB<\fR ?\fIarg\fR ...? +Returns whether the arbitrarily-many arguments are ordered, with each argument +after the first having to be strictly more than the one preceding it. +Comparisons are performed preferentially on the numeric values. If fewer than +two arguments are present, this operation always returns a true value. +.TP +\fB<=\fR ?\fIarg\fR ...? +Returns whether the arbitrarily-many arguments are ordered, with each argument +after the first having to be equal to or more than the one preceding it. +Comparisons are performed preferentially on the numeric values. If fewer than +two arguments are present, this operation always returns a true value. +.TP +\fB>\fR ?\fIarg\fR ...? +Returns whether the arbitrarily-many arguments are ordered, with each argument +after the first having to be strictly less than the one preceding it. +Comparisons are performed preferentially on the numeric values. If fewer than +two arguments are present, this operation always returns a true value. +.TP +\fB>=\fR ?\fIarg\fR ...? +Returns whether the arbitrarily-many arguments are ordered, with each argument +after the first having to be equal to or less than the one preceding it. +Comparisons are performed preferentially on the numeric values. If fewer than +two arguments are present, this operation always returns a true value. +.TP +\fBin\fR \fIarg list\fR +Returns whether the value \fIarg\fR is present in the list \fIlist\fR. +.TP +\fBni\fR \fIarg list\fR +Returns whether the value \fIarg\fR is not present in the list \fIlist\fR. +.SH EXAMPLES +.CS +namespace path {::tcl::mathop ::tcl::mathfunc} + +set sum [\fB+\fR 1 2 3] + +set list {1 2 3 4 5 6} +set mean [\fB/\fR [\fB+\fR {expand}$list] [double [llength $list]]] + +set gotIt [\fBin\fR 3 $list] + +set inRange [\fB<=\fR 1 $x 5] +.CE +.SH "SEE ALSO" +expr(n), namespace(n) +.SH KEYWORDS +command, expression, operator |