#region PDFsharp - A .NET library for processing PDF // // Authors: // Microsoft // // Copyright (c) 2005-2017 empira Software GmbH, Cologne Area (Germany) // // http://www.pdfsharp.com // http://sourceforge.net/projects/pdfsharp // // Permission is hereby granted, free of charge, to any person obtaining a // copy of this software and associated documentation files (the "Software"), // to deal in the Software without restriction, including without limitation // the rights to use, copy, modify, merge, publish, distribute, sublicense, // and/or sell copies of the Software, and to permit persons to whom the // Software is furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included // in all copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL // THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING // FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER // DEALINGS IN THE SOFTWARE. #endregion using System; using System.Runtime.InteropServices; #if !EDF_CORE using PdfSharp.Drawing; #else using PdfSharp.Drawing; #endif #if !EDF_CORE namespace PdfSharp.Internal #else namespace Edf.Internal #endif { /// /// Some floating point utilities. Partially reflected from WPF, later equalized with original source code. /// internal static class DoubleUtil { const double Epsilon = 2.2204460492503131E-16; // smallest such that 1.0 + Epsilon != 1.0 private const double TenTimesEpsilon = 10.0 * Epsilon; const float FloatMinimum = 1.175494E-38f; /// /// Indicates whether the values are so close that they can be considered as equal. /// public static bool AreClose(double value1, double value2) { //if (value1 == value2) if (value1.Equals(value2)) return true; // This computes (|value1-value2| / (|value1| + |value2| + 10.0)) < Epsilon double eps = (Math.Abs(value1) + Math.Abs(value2) + 10.0) * Epsilon; double delta = value1 - value2; return (-eps < delta) && (eps > delta); } /// /// Indicates whether the values are so close that they can be considered as equal. /// public static bool AreRoughlyEqual(double value1, double value2, int decimalPlace) { if (value1 == value2) return true; return Math.Abs(value1 - value2) < decs[decimalPlace]; } static readonly double[] decs = { 1, 1E-1, 1E-2, 1E-3, 1E-4, 1E-5, 1E-6, 1E-7, 1E-8, 1E-9, 1E-10, 1E-11, 1E-12, 1E-13, 1E-14, 1E-15, 1E-16 }; /// /// Indicates whether the values are so close that they can be considered as equal. /// public static bool AreClose(XPoint point1, XPoint point2) { return AreClose(point1.X, point2.X) && AreClose(point1.Y, point2.Y); } /// /// Indicates whether the values are so close that they can be considered as equal. /// public static bool AreClose(XRect rect1, XRect rect2) { if (rect1.IsEmpty) return rect2.IsEmpty; return !rect2.IsEmpty && AreClose(rect1.X, rect2.X) && AreClose(rect1.Y, rect2.Y) && AreClose(rect1.Height, rect2.Height) && AreClose(rect1.Width, rect2.Width); } /// /// Indicates whether the values are so close that they can be considered as equal. /// public static bool AreClose(XSize size1, XSize size2) { return AreClose(size1.Width, size2.Width) && AreClose(size1.Height, size2.Height); } /// /// Indicates whether the values are so close that they can be considered as equal. /// public static bool AreClose(XVector vector1, XVector vector2) { return AreClose(vector1.X, vector2.X) && AreClose(vector1.Y, vector2.Y); } /// /// Indicates whether value1 is greater than value2 and the values are not close to each other. /// public static bool GreaterThan(double value1, double value2) { return value1 > value2 && !AreClose(value1, value2); } /// /// Indicates whether value1 is greater than value2 or the values are close to each other. /// public static bool GreaterThanOrClose(double value1, double value2) { return value1 > value2 || AreClose(value1, value2); } /// /// Indicates whether value1 is less than value2 and the values are not close to each other. /// public static bool LessThan(double value1, double value2) { return value1 < value2 && !AreClose(value1, value2); } /// /// Indicates whether value1 is less than value2 or the values are close to each other. /// public static bool LessThanOrClose(double value1, double value2) { return value1 < value2 || AreClose(value1, value2); } /// /// Indicates whether the value is between 0 and 1 or close to 0 or 1. /// public static bool IsBetweenZeroAndOne(double value) { return GreaterThanOrClose(value, 0) && LessThanOrClose(value, 1); } /// /// Indicates whether the value is not a number. /// public static bool IsNaN(double value) { NanUnion t = new NanUnion(); t.DoubleValue = value; ulong exp = t.UintValue & 0xfff0000000000000; ulong man = t.UintValue & 0x000fffffffffffff; return (exp == 0x7ff0000000000000 || exp == 0xfff0000000000000) && (man != 0); } /// /// Indicates whether at least one of the four rectangle values is not a number. /// public static bool RectHasNaN(XRect r) { return IsNaN(r.X) || IsNaN(r.Y) || IsNaN(r.Height) || IsNaN(r.Width); } /// /// Indicates whether the value is 1 or close to 1. /// public static bool IsOne(double value) { return Math.Abs(value - 1.0) < TenTimesEpsilon; } /// /// Indicates whether the value is 0 or close to 0. /// public static bool IsZero(double value) { return Math.Abs(value) < TenTimesEpsilon; } /// /// Converts a double to integer. /// public static int DoubleToInt(double value) { return 0 < value ? (int)(value + 0.5) : (int)(value - 0.5); } [StructLayout(LayoutKind.Explicit)] struct NanUnion { [FieldOffset(0)] internal double DoubleValue; [FieldOffset(0)] internal readonly ulong UintValue; } } }