HandyControl/src/Shared/HandyControl_Shared/Expression/Drawing/GeometryHelper.cs

using System;
using System.Collections.Generic;
using System.Runtime.CompilerServices;
using System.Windows;
using System.Windows.Media;

namespace HandyControl.Expression.Drawing
{
    public static class GeometryHelper
    {
        internal static void ApplyTransform(this IList<Point> points, GeneralTransform transform)
        {
            for (var i = 0; i < points.Count; i++) points[i] = transform.Transform(points[i]);
        }

        internal static Rect Bounds(this Size size)
        {
            return new(0.0, 0.0, size.Width, size.Height);
        }

        internal static Point Center(this Rect rect)
        {
            return new(rect.X + rect.Width / 2.0, rect.Y + rect.Height / 2.0);
        }

        internal static Vector Subtract(this Point lhs, Point rhs)
        {
            return new(lhs.X - rhs.X, lhs.Y - rhs.Y);
        }

        internal static Thickness Subtract(this Rect lhs, Rect rhs)
        {
            return new(rhs.Left - lhs.Left,
                rhs.Top - lhs.Top, lhs.Right - rhs.Right,
                lhs.Bottom - rhs.Bottom);
        }

        internal static Point Lerp(Point pointA, Point pointB, double alpha)
        {
            return new(
                MathHelper.Lerp(pointA.X, pointB.X, alpha),
                MathHelper.Lerp(pointA.Y, pointB.Y, alpha));
        }

        internal static Vector Lerp(Vector vectorA, Vector vectorB, double alpha)
        {
            return new(MathHelper.Lerp(vectorA.X, vectorB.X, alpha),
                MathHelper.Lerp(vectorA.Y, vectorB.Y, alpha));
        }

        internal static double Distance(Point lhs, Point rhs)
        {
            var num = lhs.X - rhs.X;
            var num2 = lhs.Y - rhs.Y;
            return Math.Sqrt(num * num + num2 * num2);
        }

        internal static Rect Resize(this Rect rect, double ratio)
        {
            return rect.Resize(ratio, ratio);
        }

        internal static Rect Resize(this Rect rect, double ratioX, double ratioY)
        {
            var point = rect.Center();
            var width = rect.Width * ratioX;
            var height = rect.Height * ratioY;
            return new Rect(point.X - width / 2.0, point.Y - height / 2.0, width, height);
        }

        internal static Rect GetStretchBound(Rect logicalBound, Stretch stretch, Size aspectRatio)
        {
            if (stretch == Stretch.None) stretch = Stretch.Fill;
            if (stretch == Stretch.Fill || !aspectRatio.HasValidArea()) return logicalBound;
            var point = logicalBound.Center();
            if (stretch == Stretch.Uniform)
            {
                if (aspectRatio.Width * logicalBound.Height < logicalBound.Width * aspectRatio.Height)
                    logicalBound.Width = logicalBound.Height * aspectRatio.Width / aspectRatio.Height;
                else
                    logicalBound.Height = logicalBound.Width * aspectRatio.Height / aspectRatio.Width;
            }
            else if (stretch == Stretch.UniformToFill)
            {
                if (aspectRatio.Width * logicalBound.Height < logicalBound.Width * aspectRatio.Height)
                    logicalBound.Height = logicalBound.Width * aspectRatio.Height / aspectRatio.Width;
                else
                    logicalBound.Width = logicalBound.Height * aspectRatio.Width / aspectRatio.Height;
            }

            return new Rect(point.X - logicalBound.Width / 2.0, point.Y - logicalBound.Height / 2.0,
                logicalBound.Width, logicalBound.Height);
        }

        internal static Point GetArcPoint(double degree)
        {
            var a = degree * 3.1415926535897931 / 180.0;
            return new Point(0.5 + 0.5 * Math.Sin(a), 0.5 - 0.5 * Math.Cos(a));
        }

        [MethodImpl(MethodImplOptions.NoInlining)]
        internal static Point GetArcPoint(double degree, Rect bound)
        {
            var arcPoint = GetArcPoint(degree);
            return RelativeToAbsolutePoint(bound, arcPoint);
        }

        internal static Point RelativeToAbsolutePoint(Rect bound, Point relative)
        {
            return new(bound.X + relative.X * bound.Width, bound.Y + relative.Y * bound.Height);
        }

        internal static double SquaredDistance(Point lhs, Point rhs)
        {
            var num = lhs.X - rhs.X;
            var num2 = lhs.Y - rhs.Y;
            return num * num + num2 * num2;
        }

        internal static Point Midpoint(Point lhs, Point rhs)
        {
            return new((lhs.X + rhs.X) / 2.0, (lhs.Y + rhs.Y) / 2.0);
        }

        internal static bool HasValidArea(this Size size)
        {
            return size.Width > 0.0 && size.Height > 0.0 && !double.IsInfinity(size.Width) &&
                   !double.IsInfinity(size.Height);
        }

        internal static Rect Inflate(Rect rect, double offset)
        {
            return Inflate(rect, new Thickness(offset));
        }

        internal static Rect Inflate(Rect rect, Thickness thickness)
        {
            var width = rect.Width + thickness.Left + thickness.Right;
            var height = rect.Height + thickness.Top + thickness.Bottom;
            var x = rect.X - thickness.Left;
            if (width < 0.0)
            {
                x += width / 2.0;
                width = 0.0;
            }

            var y = rect.Y - thickness.Top;
            if (height < 0.0)
            {
                y += height / 2.0;
                height = 0.0;
            }

            return new Rect(x, y, width, height);
        }

        internal static double Dot(Point lhs, Point rhs)
        {
            return lhs.X * rhs.X + lhs.Y * rhs.Y;
        }

        internal static double Dot(Vector lhs, Vector rhs)
        {
            return lhs.X * rhs.X + lhs.Y * rhs.Y;
        }

        internal static Point Plus(this Point lhs, Point rhs)
        {
            return new(lhs.X + rhs.X, lhs.Y + rhs.Y);
        }

        internal static Point Minus(this Point lhs, Point rhs)
        {
            return new(lhs.X - rhs.X, lhs.Y - rhs.Y);
        }

        internal static Vector Normal(Point lhs, Point rhs)
        {
            return new Vector(lhs.Y - rhs.Y, rhs.X - lhs.X).Normalized();
        }

        internal static Vector Normalized(this Vector vector)
        {
            var vector2 = new Vector(vector.X, vector.Y);
            var length = vector2.Length;
            if (MathHelper.IsVerySmall(length)) return new Vector(0.0, 1.0);
            return vector2 / length;
        }

        internal static double Determinant(Point lhs, Point rhs)
        {
            return lhs.X * rhs.Y - lhs.Y * rhs.X;
        }

        internal static bool EnsureSegmentType<T>(out T result, IList<PathSegment> list, int index,
            Func<T> factory) where T : PathSegment
        {
            result = list[index] as T;
            if (result == null)
            {
                list[index] = result = factory();
                return true;
            }

            return false;
        }

        internal static bool EnsureGeometryType<T>(out T result, ref Geometry value, Func<T> factory)
            where T : Geometry
        {
            result = value as T;
            if (result == null)
            {
                value = result = factory();
                return true;
            }

            return false;
        }
    }
}