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The Apache Commons Codec package contains simple encoder and decoders for various formats such as Base64 and Hexadecimal. In addition to these widely used encoders and decoders, the codec package also maintains a collection of phonetic encoding utilities.
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/*
 *  ====================================================================
 *    Licensed to the Apache Software Foundation (ASF) under one or more
 *    contributor license agreements.  See the NOTICE file distributed with
 *    this work for additional information regarding copyright ownership.
 *    The ASF licenses this file to You under the Apache License, Version 2.0
 *    (the "License"); you may not use this file except in compliance with
 *    the License.  You may obtain a copy of the License at
 *
 *        http://www.apache.org/licenses/LICENSE-2.0
 *
 *    Unless required by applicable law or agreed to in writing, software
 *    distributed under the License is distributed on an "AS IS" BASIS,
 *    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 *    See the License for the specific language governing permissions and
 *    limitations under the License.
 * ====================================================================
 */

package org.apache.poi.sl.draw.geom;

import static java.lang.Math.abs;
import static java.lang.Math.atan2;
import static java.lang.Math.cos;
import static java.lang.Math.max;
import static java.lang.Math.min;
import static java.lang.Math.sin;
import static java.lang.Math.sqrt;
import static java.lang.Math.tan;
import static java.lang.Math.toDegrees;
import static java.lang.Math.toRadians;

import org.apache.poi.sl.draw.binding.CTGeomGuide;

/**
 * A simple pattern parser of shape guide formulas in DrawingML
 */
public class Guide implements Formula {
    enum Op {
        muldiv,addsub,adddiv,ifelse,val,abs,sqrt,max,min,at2,sin,cos,tan,cat2,sat2,pin,mod
    }

    private final String name, fmla;
    private final Op op;
    private final String[] operands;


    public Guide(CTGeomGuide gd) {
        this(gd.getName(), gd.getFmla());
    }

    public Guide(String nm, String fm){
        name = nm;
        fmla = fm;
        operands = fm.split("\\s+");
        op = Op.valueOf(operands[0].replace("*", "mul").replace("/", "div").replace("+", "add").replace("-", "sub").replace("?:", "ifelse"));
    }

    public String getName(){
        return name;
    }

    String getFormula(){
        return fmla;
    }

    @Override
    public double evaluate(Context ctx) {
        double x = (operands.length > 1) ? ctx.getValue(operands[1]) : 0;
        double y = (operands.length > 2) ? ctx.getValue(operands[2]) : 0;
        double z = (operands.length > 3) ? ctx.getValue(operands[3]) : 0;
        switch (op) {
            case abs:
                // Absolute Value Formula
                return abs(x);
            case adddiv:
                // Add Divide Formula
                return (x + y) / z;
            case addsub:
                // Add Subtract Formula
                return (x + y) - z;
            case at2:
                // ArcTan Formula: "at2 x y" = arctan( y / z ) = value of this guide
                return toDegrees(atan2(y, x)) * OOXML_DEGREE;
            case cos:
                // Cosine Formula: "cos x y" = (x * cos( y )) = value of this guide
                return x * cos(toRadians(y / OOXML_DEGREE));
            case cat2:
                // Cosine ArcTan Formula: "cat2 x y z" = (x * cos(arctan(z / y) )) = value of this guide
                return x*cos(atan2(z, y));
            case ifelse:
                // If Else Formula: "?: x y z" = if (x > 0), then y = value of this guide,
                // else z = value of this guide
                return x > 0 ? y : z;
            case val:
                // Literal Value Expression
                return x;
            case max:
                // Maximum Value Formula
                return max(x, y);
            case min:
                // Minimum Value Formula
                return min(x, y);
            case mod:
                // Modulo Formula: "mod x y z" = sqrt(x^2 + b^2 + c^2) = value of this guide
                return sqrt(x*x + y*y + z*z);
            case muldiv:
                // Multiply Divide Formula
                return (x * y) / z;
            case pin:
                // Pin To Formula: "pin x y z" = if (y < x), then x = value of this guide
                // else if (y > z), then z = value of this guide
                // else y = value of this guide
                if(y < x) {
                    return x;
                } else if (y > z) {
                    return z;
                } else {
                    return y;
                }
            case sat2:
                // Sine ArcTan Formula: "sat2 x y z" = (x*sin(arctan(z / y))) = value of this guide
                return x*sin(atan2(z, y));
            case sin:
                // Sine Formula: "sin x y" = (x * sin( y )) = value of this guide
                return x * sin(toRadians(y / OOXML_DEGREE));
            case sqrt:
                // Square Root Formula: "sqrt x" = sqrt(x) = value of this guide
                return sqrt(x);
            case tan:
                // Tangent Formula: "tan x y" = (x * tan( y )) = value of this guide
                return x * tan(toRadians(y / OOXML_DEGREE));
            default:
                return 0;
        }
    }
}