Shortnote

The following is a postfix calculator that transforms any text spoken by the owner of the script to postfix notation and then evaluates the expression.

Implemented Features

  • The calculator supports all the operators:
    • + - addition
    • - - subtraction
    • * - multiplication
    • / - division
    • ^ - exponentiation
    • % - modulo
  • Floating point numbers (such as $1.5$, $3.2$).
  • Bracketed expressions (such as $(1-2)/3$).
  • Trigonometric functions:
    • sin - sine
    • cos - cosine
    • tan - tangent
  • Inverse trigonometric functions:
    • asin - arc-sine
    • acos - arc-cosine
  • Natural logarithm (such as $\ln{2}$).
  • Square-roots (such as $\sqrt{2}$).

Exports

Operator Precedence

From highest to lowest, the precedence is given by the last element in the array op in the wasInfixToPostfix function. In order from highest to lowest:

Operator
sin,cos,tan,asin,acos,ln,sqrt
^
*, /
%
+, -

Examples

Șpecıaŀ K(gonor.chunker): ln(2+2)*3+50/2
Object whispers: Postfix is: 2 2 + ln 3 * 50 2 / +
Object whispers: Value is: 25.000000
Șpecıaŀ K(gonor.chunker): 2*10/20
[WaS-K] Calculator whispers: Postfix is: 2 10 20 / *
[WaS-K] Calculator whispers: Value is: 1
Șpecıaŀ K(gonor.chunker): 2^10/10
[WaS-K] Calculator whispers: Postfix is: 2 10 ^ 10 /
[WaS-K] Calculator whispers: Value is: 102.400000

Code

This script was tested and works on OpenSim version 0.7.4!

expression_calculator.lsl
///////////////////////////////////////////////////////////////////////////
//  Copyright (C) Wizardry and Steamworks 2012 - License: GNU GPLv3      //
//  Please see: http://www.gnu.org/licenses/gpl.html for legal details,  //
//  rights of fair usage, the disclaimer and warranty conditions.        //
///////////////////////////////////////////////////////////////////////////
 
//////////////////////////////////////////////////////////
// Most of the helper functions can be found at:
// http://grimore.org/fuss:lsl
//////////////////////////////////////////////////////////
 
//////////////////////////////////////////////////////////
// Returns a reversed list.
//////////////////////////////////////////////////////////
list wasListReverse(list lst) {
    if(llGetListLength(lst)<=1) return lst;
    return wasListReverse(llList2List(lst, 1, llGetListLength(lst))) + llList2List(lst,0,0);
}
 
//////////////////////////////////////////////////////////
// Deletes elements delete from list input.
//////////////////////////////////////////////////////////
list wasSubtractSubList(list input, list delete) {
    do {
        string tok = llList2String(delete, 0);
        list clean = input;
        do {
            if(llList2String(clean, 0) == tok) {
                integer idx = llListFindList(input, (list)tok);
                input = llDeleteSubList(input, idx, idx);
            }
        } while(clean = llDeleteSubList(clean, 0, 0));
    } while(delete = llDeleteSubList(delete, 0, 0));
    return input;
}
 
//////////////////////////////////////////////////////////
// Returns a list of operators and operands.
//////////////////////////////////////////////////////////
list wasInfixTokenize(string input) {
    list op = [ "+", "-", "(", ")", "%", "*", "/", "^", "sin", "asin", "cos", "acos", "tan", "sqrt", "ln" ];
    list result = llParseString2List(input, [], op);
    return wasSubtractSubList(result, [" "]);
}
 
//////////////////////////////////////////////////////////
// Transforms an infix expression to a postfix expression.
//////////////////////////////////////////////////////////
list wasInfixToPostfix(list infix) {
    list op = [  "+", "-", "%", "*", "/", "^", "sin", "asin", "cos", "acos", "tan", "sqrt", "ln" ];
    list opStack = [];
    list result = [];
    do {
        string t = llList2String(infix, 0);
        infix = llDeleteSubList(infix, 0, 0);
        if(t == "(") {
            opStack += "(";
            jump continue;
        }
        if(t == ")") {
            while(llGetListLength(opStack) != 0) {
                string topa = llList2String(opStack, llGetListLength(opStack)-1);
                opStack = llDeleteSubList(opStack, llGetListLength(opStack)-1, llGetListLength(opStack)-1);
                if(topa != "(" && topa != ")") result += topa;
            }
            opStack = llDeleteSubList(opStack, llGetListLength(opStack)-1, llGetListLength(opStack)-1);
            jump continue;
        }
        integer idx = llListFindList(op, (list)t);
        if(idx == -1) {
            result += t;
            jump continue;
        }
@repeat;
        string topb = llList2String(opStack, llGetListLength(opStack)-1);
        integer odx = llListFindList(op, (list)topb);
        if(odx >= idx) {
            opStack = llDeleteSubList(opStack, llGetListLength(opStack)-1, llGetListLength(opStack)-1);
            result += topb;
            if(llGetListLength(opStack) != 0) jump repeat;
        }
        opStack += t;
@continue;
    } while(llGetListLength(infix) != 0);
    result += wasListReverse(opStack);
    return result;   
}
 
//////////////////////////////////////////////////////////
// Evaluate a postfix expression.
//////////////////////////////////////////////////////////
float wasPostfixEval(list postfix) {
    list op = [ "+", "-", "%", "*", "/", "^", "sin", "asin", "cos", "acos", "tan", "sqrt", "ln" ];
    list orStack = [];
    do {
        string t = llList2String(postfix, 0);
        postfix = llDeleteSubList(postfix, 0, 0);
        integer idx = llListFindList(op, (list)t);
        if(idx == -1) {
            orStack += t;
            jump continue;
        }
        float a = llList2Float(orStack, llGetListLength(orStack)-1);
        orStack = llDeleteSubList(orStack, llGetListLength(orStack)-1, llGetListLength(orStack)-1);
        float b = llList2Float(orStack, llGetListLength(orStack)-1);
        float r = 0;
        if(t == "+") {
            orStack = llDeleteSubList(orStack, llGetListLength(orStack)-1, llGetListLength(orStack)-1);
            r = b + a;
            jump push;
        }
        if(t == "-") {
            orStack = llDeleteSubList(orStack, llGetListLength(orStack)-1, llGetListLength(orStack)-1);
            r = b - a;
            jump push;
        }
        if(t == "*") {
            orStack = llDeleteSubList(orStack, llGetListLength(orStack)-1, llGetListLength(orStack)-1);
            r = b * a;
            jump push;
        }
        if(t == "/") {
            orStack = llDeleteSubList(orStack, llGetListLength(orStack)-1, llGetListLength(orStack)-1);
            if(a == 0) {
                r = (float)"NaN";
                jump push;
            }
            r = b / a;
            jump push;
        }
        if(t == "^") {
            orStack = llDeleteSubList(orStack, llGetListLength(orStack)-1, llGetListLength(orStack)-1);
            r = llPow(b,a);
            jump push;
        }
        if(t == "%") {
            orStack = llDeleteSubList(orStack, llGetListLength(orStack)-1, llGetListLength(orStack)-1);
            r = (integer)b % (integer)a;
            jump push;
        }
        if(t == "sin") {
            r = llSin(a * DEG_TO_RAD);
            jump push;
        }
        if(t == "asin") {
            r = llAsin(a * DEG_TO_RAD);
            jump push;
        }
        if(t == "cos") {
            r = llCos(a * DEG_TO_RAD);
            jump push;
        }
        if(t == "acos") {
            r = llAcos(a * DEG_TO_RAD);
            jump push;
        }
        if(t == "tan") {
            r = llTan(a * DEG_TO_RAD);
            jump push;
        }
        if(t == "ln") {
            r = llLog(a);
            jump push;
        }
        if(t == "sqrt") {
            r = llSqrt(a);
        }
@push;
        orStack += r;
@continue;
    } while(llGetListLength(postfix) != 0);
    return llList2Float(orStack, 0);
}
 
default
{
    state_entry() {
        llListen(0, "", llGetOwner(), "");
    }
    listen(integer chan, string name, key id, string message) {
        // Tokenize the message.
        list tokenized = wasInfixTokenize(message);
        // Convert infix to postfix.
        list postfixExpression = wasInfixToPostfix(tokenized);
        // Evaluate postifx expression.
        float result = wasPostfixEval(postfixExpression);
 
        llWhisper(0, "Postfix is: " + llDumpList2String(postfixExpression, " "));
        llWhisper(0, "Value is: " + (string)result);
    }
}

secondlife/expression_calculator.txt · Last modified: 2022/11/24 07:45 by 127.0.0.1

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