using System; using UnityEngine; namespace Unity.UIWidgets.ui { public static class MathUtils { public static double clamp(this double value, double min, double max) { if (value < min) { value = min; } else if (value > max) { value = max; } return value; } public static float clamp(this float value, float min, float max) { if (value < min) { value = min; } else if (value > max) { value = max; } return value; } public static int clamp(this int value, int min, int max) { if (value < min) { value = min; } else if (value > max) { value = max; } return value; } public static double abs(this double value) { return Math.Abs(value); } public static int sign(this double value) { return Math.Sign(value); } public static bool isInfinite(this double it) { return double.IsInfinity(it); } public static bool isFinite(this double it) { return !double.IsInfinity(it); } public static bool isNaN(this double it) { return double.IsNaN(it); } public static double lerpDouble(double a, double b, double t) { return a + (b - a) * t; } public static int round(this double value) { return (int) Math.Round(value); } public static int floor(this double value) { return (int) Math.Floor(value); } public static int ceil(this double value) { return (int) Math.Ceiling(value); } public static int round(this float value) { return Mathf.RoundToInt(value); } public static int floor(this float value) { return Mathf.FloorToInt(value); } public static int ceil(this float value) { return Mathf.CeilToInt(value); } } public abstract class OffsetBase : IEquatable { protected OffsetBase(double _dx, double _dy) { this._dx = _dx; this._dy = _dy; } public readonly double _dx; public readonly double _dy; public bool isInfinite { get { return double.IsInfinity(this._dx) || double.IsInfinity(this._dy); } } public bool isFinite { get { return !double.IsInfinity(this._dx) && !double.IsInfinity(this._dy); } } public static bool operator <(OffsetBase a, OffsetBase b) { return a._dx < b._dx && a._dy < b._dy; } public static bool operator <=(OffsetBase a, OffsetBase b) { return a._dx <= b._dx && a._dy <= b._dy; } public static bool operator >(OffsetBase a, OffsetBase b) { return a._dx > b._dx && a._dy > b._dy; } public static bool operator >=(OffsetBase a, OffsetBase b) { return a._dx >= b._dx && a._dy >= b._dy; } public static bool operator ==(OffsetBase a, OffsetBase b) { return Equals(a, b); } public static bool operator !=(OffsetBase a, OffsetBase b) { return !(a == b); } public bool Equals(OffsetBase other) { return this._dx.Equals(other._dx) && this._dy.Equals(other._dy); } public override bool Equals(object obj) { if (ReferenceEquals(null, obj)) { return false; } return obj is OffsetBase && this.Equals((OffsetBase) obj); } public override int GetHashCode() { unchecked { return (this._dx.GetHashCode() * 397) ^ this._dy.GetHashCode(); } } public override string ToString() { return this.GetType() + "(" + this._dx.ToString("0.0") + ", " + this._dy.ToString("0.0") + ")"; } } public class Offset : OffsetBase, IEquatable { public Offset(double dx, double dy) : base(dx, dy) { } public double dx { get { return this._dx; } } public double dy { get { return this._dy; } } public double distance { get { return Math.Sqrt(this._dx * this._dx + this._dy * this._dy); } } public double distanceSquared { get { return this._dx * this._dx + this._dy * this._dy; } } public static readonly Offset zero = new Offset(0.0, 0.0); public static readonly Offset infinite = new Offset(double.PositiveInfinity, double.PositiveInfinity); public Offset scale(double scaleX, double scaleY) { return new Offset(this.dx * scaleX, this.dy * scaleY); } public Offset translate(double translateX, double translateY) { return new Offset(this.dx + translateX, this.dy + translateY); } public static Offset operator -(Offset a) { return new Offset(-a.dx, -a.dy); } public static Offset operator -(Offset a, Offset b) { return new Offset(a.dx - b.dx, a.dy - b.dy); } public static Offset operator +(Offset a, Offset b) { return new Offset(a.dx + b.dx, a.dy + b.dy); } public static Offset operator *(Offset a, double operand) { return new Offset(a.dx * operand, a.dy * operand); } public static Offset operator /(Offset a, double operand) { return new Offset(a.dx / operand, a.dy / operand); } public static Rect operator &(Offset a, Size other) { return Rect.fromLTWH(a.dx, a.dy, other.width, other.height); } public bool Equals(Offset other) { return this._dx.Equals(other._dx) && this._dy.Equals(other._dy); } public override bool Equals(object obj) { if (ReferenceEquals(null, obj)) { return false; } return obj is Offset && this.Equals((Offset) obj); } public override int GetHashCode() { return base.GetHashCode(); } public override string ToString() { return "Offset(" + this._dx.ToString("0.0") + ", " + this._dy.ToString("0.0") + ")"; } } public class Size : OffsetBase, IEquatable { public Size(double width, double height) : base(width, height) { } public static Size copy(Size source) { return new Size(source.width, source.height); } public static Size square(double dimension) { return new Size(dimension, dimension); } public static Size fromWidth(double width) { return new Size(width, double.PositiveInfinity); } public static Size fromHeight(double height) { return new Size(double.PositiveInfinity, height); } public static Size fromRadius(double radius) { return new Size(radius * 2, radius * 2); } public double width { get { return this._dx; } } public double height { get { return this._dy; } } public static readonly Size zero = new Size(0.0, 0.0); public static readonly Size infinite = new Size(double.PositiveInfinity, double.PositiveInfinity); public bool isEmpty { get { return this.width <= 0.0 || this.height <= 0.0; } } public static Size operator -(Size a, Offset b) { return new Size(a.width - b.dx, a.height - b.dy); } public static Size operator +(Size a, Offset b) { return new Size(a.width + b.dx, a.height + b.dy); } public static Offset operator -(Size a, Size b) { return new Offset(a.width - b.width, a.height - b.height); } public static Size operator *(Size a, double operand) { return new Size(a.width * operand, a.height * operand); } public static Size operator /(Size a, double operand) { return new Size(a.width / operand, a.height / operand); } public double shortestSide { get { return Math.Min(Math.Abs(this.width), Math.Abs(this.height)); } } public double longestSide { get { return Math.Max(Math.Abs(this.width), Math.Abs(this.height)); } } public bool contains(Offset offset) { return offset.dx >= 0.0 && offset.dx < this.width && offset.dy >= 0.0 && offset.dy < this.height; } public static Size lerp(Size a, Size b, double t) { if (a == null && b == null) { return null; } if (a == null) { return b * t; } if (b == null) { return a * (1.0 - t); } return new Size(MathUtils.lerpDouble(a.width, b.width, t), MathUtils.lerpDouble(a.height, b.height, t)); } public bool Equals(Size other) { return this._dx.Equals(other._dx) && this._dy.Equals(other._dy); } public override bool Equals(object obj) { if (ReferenceEquals(null, obj)) { return false; } return obj is Size && this.Equals((Size) obj); } public override int GetHashCode() { return base.GetHashCode(); } public override string ToString() { return "Size(" + this._dx.ToString("0.0") + ", " + this._dy.ToString("0.0") + ")"; } } public class Rect : IEquatable { Rect(double left, double top, double right, double bottom) { this.left = left; this.top = top; this.right = right; this.bottom = bottom; } public static Rect fromLTRB(double left, double top, double right, double bottom) { return new Rect(left, top, right, bottom); } public static Rect fromLTWH(double left, double top, double width, double height) { return new Rect(left, top, left + width, top + height); } public static Rect fromCircle(Offset offset, double radius) { return new Rect(offset.dx - radius, offset.dy - radius, offset.dx + radius, offset.dy + radius); } public static Rect fromPoints(Offset a, Offset b) { return new Rect( Math.Min(a.dx, b.dx), Math.Min(a.dy, b.dy), Math.Max(a.dx, b.dx), Math.Max(a.dy, b.dy) ); } public readonly double left; public readonly double top; public readonly double right; public readonly double bottom; public double width { get { return this.right - this.left; } } public double height { get { return this.bottom - this.top; } } public Size size { get { return new Size(this.width, this.height); } } public static readonly Rect zero = new Rect(0, 0, 0, 0); public static readonly Rect infinity = new Rect(double.NegativeInfinity, double.NegativeInfinity, double.PositiveInfinity, double.PositiveInfinity); public const double _giantScalar = 1.0E+9; public static readonly Rect largest = fromLTRB(-_giantScalar, -_giantScalar, _giantScalar, _giantScalar); public bool isInfinite { get { return double.IsInfinity(this.left) || double.IsInfinity(this.top) || double.IsInfinity(this.right) || double.IsInfinity(this.bottom); } } public bool isFinite { get { return !this.isInfinite; } } public bool isEmpty { get { return this.left >= this.right || this.top >= this.bottom; } } public Rect shift(Offset offset) { return fromLTRB(this.left + offset.dx, this.top + offset.dy, this.right + offset.dx, this.bottom + offset.dy); } public Rect translate(double translateX, double translateY) { return fromLTRB(this.left + translateX, this.top + translateY, this.right + translateX, this.bottom + translateY); } public Rect scale(double scaleX, double? scaleY = null) { scaleY = scaleY ?? scaleX; return fromLTRB( this.left * scaleX, this.top * scaleY.Value, this.right * scaleX, this.bottom * scaleY.Value); } public Rect inflate(double delta) { return fromLTRB(this.left - delta, this.top - delta, this.right + delta, this.bottom + delta); } public Rect deflate(double delta) { return this.inflate(-delta); } public Rect intersect(Rect other) { return fromLTRB( Math.Max(this.left, other.left), Math.Max(this.top, other.top), Math.Min(this.right, other.right), Math.Min(this.bottom, other.bottom) ); } public Rect expandToInclude(Rect other) { return fromLTRB( Math.Min(this.left, other.left), Math.Min(this.top, other.top), Math.Max(this.right, other.right), Math.Max(this.bottom, other.bottom) ); } public bool overlaps(Rect other) { if (this.right <= other.left || other.right <= this.left) { return false; } if (this.bottom <= other.top || other.bottom <= this.top) { return false; } return true; } public double shortestSide { get { return Math.Min(Math.Abs(this.width), Math.Abs(this.height)); } } public double longestSide { get { return Math.Max(Math.Abs(this.width), Math.Abs(this.height)); } } public Offset topLeft { get { return new Offset(this.left, this.top); } } public Offset topCenter { get { return new Offset(this.left + this.width / 2.0, this.top); } } public Offset topRight { get { return new Offset(this.right, this.top); } } public Offset centerLeft { get { return new Offset(this.left, this.top + this.height / 2.0); } } public Offset center { get { return new Offset(this.left + this.width / 2.0, this.top + this.height / 2.0); } } public Offset centerRight { get { return new Offset(this.right, this.bottom); } } public Offset bottomLeft { get { return new Offset(this.left, this.bottom); } } public Offset bottomCenter { get { return new Offset(this.left + this.width / 2.0, this.bottom); } } public Offset bottomRight { get { return new Offset(this.right, this.bottom); } } public bool contains(Offset offset) { return offset.dx >= this.left && offset.dx < this.right && offset.dy >= this.top && offset.dy < this.bottom; } public bool contains(Rect rect) { return this.contains(rect.topLeft) && this.contains(rect.bottomRight); } public Rect round() { return fromLTRB( Math.Round(this.left), Math.Round(this.top), Math.Round(this.right), Math.Round(this.bottom)); } public Rect roundOut() { return fromLTRB( Math.Floor(this.left), Math.Floor(this.top), Math.Ceiling(this.right), Math.Ceiling(this.bottom)); } public static Rect lerp(Rect a, Rect b, double t) { if (a == null && b == null) { return null; } if (a == null) { return fromLTRB(b.left * t, b.top * t, b.right * t, b.bottom * t); } if (b == null) { double k = 1.0 - t; return fromLTRB(a.left * k, a.top * k, a.right * k, a.bottom * k); } return fromLTRB( MathUtils.lerpDouble(a.left, b.left, t), MathUtils.lerpDouble(a.top, b.top, t), MathUtils.lerpDouble(a.right, b.right, t), MathUtils.lerpDouble(a.bottom, b.bottom, t) ); } public bool Equals(Rect other) { if (ReferenceEquals(null, other)) { return false; } if (ReferenceEquals(this, other)) { return true; } return this.left.Equals(other.left) && this.top.Equals(other.top) && this.right.Equals(other.right) && this.bottom.Equals(other.bottom); } public override bool Equals(object obj) { if (ReferenceEquals(null, obj)) { return false; } if (ReferenceEquals(this, obj)) { return true; } if (obj.GetType() != this.GetType()) { return false; } return this.Equals((Rect) obj); } public override int GetHashCode() { unchecked { var hashCode = this.left.GetHashCode(); hashCode = (hashCode * 397) ^ this.top.GetHashCode(); hashCode = (hashCode * 397) ^ this.right.GetHashCode(); hashCode = (hashCode * 397) ^ this.bottom.GetHashCode(); return hashCode; } } public override string ToString() { return "Rect.fromLTRB(" + this.left.ToString("0.0") + ", " + this.top.ToString("0.0") + ", " + this.right.ToString("0.0") + ", " + this.bottom.ToString("0.0") + ")"; } public static bool operator ==(Rect left, Rect right) { return Equals(left, right); } public static bool operator !=(Rect left, Rect right) { return !Equals(left, right); } } public class Radius : IEquatable { Radius(double x, double y) { this.x = x; this.y = y; } public static Radius circular(double radius) { return elliptical(radius, radius); } public static Radius elliptical(double x, double y) { return new Radius(x, y); } public readonly double x; public readonly double y; public static readonly Radius zero = circular(0.0); public static Radius operator -(Radius a) { return elliptical(-a.x, -a.y); } public static Radius operator -(Radius a, Radius b) { return elliptical(a.x - b.x, a.y - b.y); } public static Radius operator +(Radius a, Radius b) { return elliptical(a.x + b.x, a.y + b.y); } public static Radius operator *(Radius a, Radius b) { return elliptical(a.x * b.x, a.y * b.y); } public static Radius operator /(Radius a, Radius b) { return elliptical(a.x / b.x, a.y / b.y); } public static Radius operator %(Radius a, Radius b) { return elliptical(a.x % b.x, a.y % b.y); } public static Radius lerp(Radius a, Radius b, double t) { if (a == null && b == null) { return null; } if (a == null) { return elliptical(b.x * t, b.y * t); } if (b == null) { double k = 1.0 - t; return elliptical(a.x * k, a.y * k); } return elliptical( MathUtils.lerpDouble(a.x, b.x, t), MathUtils.lerpDouble(a.y, b.y, t) ); } public bool Equals(Radius other) { if (ReferenceEquals(null, other)) { return false; } if (ReferenceEquals(this, other)) { return true; } return this.x.Equals(other.x) && this.y.Equals(other.y); } public override bool Equals(object obj) { if (ReferenceEquals(null, obj)) { return false; } if (ReferenceEquals(this, obj)) { return true; } if (obj.GetType() != this.GetType()) { return false; } return this.Equals((Radius) obj); } public override int GetHashCode() { unchecked { return (this.x.GetHashCode() * 397) ^ this.y.GetHashCode(); } } public static bool operator ==(Radius left, Radius right) { return Equals(left, right); } public static bool operator !=(Radius left, Radius right) { return !Equals(left, right); } public override string ToString() { return this.x == this.y ? $"Radius.circular({this.x:F1})" : $"Radius.elliptical({this.x:F1}, ${this.y:F1})"; } } public class RRect : IEquatable { RRect(double left, double top, double right, double bottom, double tlRadius, double trRadius, double brRadius, double blRadius) { this.left = left; this.top = top; this.right = right; this.bottom = bottom; this.tlRadius = tlRadius; this.trRadius = trRadius; this.brRadius = brRadius; this.blRadius = blRadius; } public static RRect fromLTRBAndRadius( double left, double top, double right, double bottom, double radius = 0) { return new RRect(left, top, right, bottom, radius, radius, radius, radius); } public static RRect fromRect(Rect rect) { return new RRect(rect.left, rect.top, rect.right, rect.bottom, 0, 0, 0, 0); } public static RRect fromRectAndRadius(Rect rect, double radius) { return new RRect(rect.left, rect.top, rect.right, rect.bottom, radius, radius, radius, radius); } public static RRect fromLTRBAndCorners( double left, double top, double right, double bottom, double topLeft = 0.0, double topRight = 0.0, double bottomRight = 0.0, double bottomLeft = 0.0) { return new RRect(left, top, right, bottom, topLeft, topRight, bottomRight, bottomLeft); } public static RRect fromRectAndCorners( Rect rect, double topLeft = 0.0, double topRight = 0.0, double bottomRight = 0.0, double bottomLeft = 0.0) { return new RRect(rect.left, rect.top, rect.right, rect.bottom, topLeft, topRight, bottomRight, bottomLeft); } public static readonly RRect zero = new RRect(0, 0, 0, 0, 0, 0, 0, 0); public readonly double left; public readonly double top; public readonly double right; public readonly double bottom; public readonly double tlRadius; public readonly double trRadius; public readonly double brRadius; public readonly double blRadius; public RRect shift(Offset offset) { return fromLTRBAndCorners( this.left + offset.dx, this.top + offset.dy, this.right + offset.dx, this.bottom + offset.dy, this.tlRadius, this.trRadius, this.brRadius, this.blRadius ); } public RRect inflate(double delta) { return fromLTRBAndCorners( this.left - delta, this.top - delta, this.right + delta, this.bottom + delta, this.tlRadius + delta, this.trRadius + delta, this.brRadius + delta, this.blRadius + delta ); } public RRect deflate(double delta) { return this.inflate(-delta); } public double width { get { return this.right - this.left; } } public double height { get { return this.bottom - this.top; } } public Rect outerRect { get { return Rect.fromLTRB(this.left, this.top, this.right, this.bottom); } } public Rect safeInnerRect { get { const double kInsetFactor = 0.29289321881; // 1-cos(pi/4) double leftRadius = Math.Max(this.blRadius, this.tlRadius); double topRadius = Math.Max(this.tlRadius, this.trRadius); double rightRadius = Math.Max(this.trRadius, this.brRadius); double bottomRadius = Math.Max(this.brRadius, this.blRadius); return Rect.fromLTRB( this.left + leftRadius * kInsetFactor, this.top + topRadius * kInsetFactor, this.right - rightRadius * kInsetFactor, this.bottom - bottomRadius * kInsetFactor ); } } public Rect middleRect { get { double leftRadius = Math.Max(this.blRadius, this.tlRadius); double topRadius = Math.Max(this.tlRadius, this.trRadius); double rightRadius = Math.Max(this.trRadius, this.brRadius); double bottomRadius = Math.Max(this.brRadius, this.blRadius); return Rect.fromLTRB( this.left + leftRadius, this.top + topRadius, this.right - rightRadius, this.bottom - bottomRadius ); } } public Rect wideMiddleRect { get { double topRadius = Math.Max(this.tlRadius, this.trRadius); double bottomRadius = Math.Max(this.brRadius, this.blRadius); return Rect.fromLTRB( this.left, this.top + topRadius, this.right, this.bottom - bottomRadius ); } } public Rect tallMiddleRect { get { double leftRadius = Math.Max(this.blRadius, this.tlRadius); double rightRadius = Math.Max(this.trRadius, this.brRadius); return Rect.fromLTRB( this.left + leftRadius, this.top, this.right - rightRadius, this.bottom ); } } public bool isEmpty { get { return this.left >= this.right || this.top >= this.bottom; } } public bool isFinite { get { return !double.IsInfinity(this.left) && !double.IsInfinity(this.top) && !double.IsInfinity(this.right) && !double.IsInfinity(this.bottom); } } public bool isInfinite { get { return !this.isFinite; } } public bool isRect { get { return this.tlRadius == 0.0 && this.trRadius == 0.0 && this.blRadius == 0.0 && this.brRadius == 0.0; } } public bool isStadium { get { return this.tlRadius == this.trRadius && this.trRadius == this.brRadius && this.brRadius == this.blRadius && (this.width <= 2.0 * this.tlRadius || this.height <= 2.0 * this.tlRadius); } } public bool isEllipse { get { return this.tlRadius == this.trRadius && this.trRadius == this.brRadius && this.brRadius == this.blRadius && (this.width <= 2.0 * this.tlRadius && this.height <= 2.0 * this.tlRadius); } } public bool isCircle { get { return this.width == this.height && this.isEllipse; } } public double shortestSide { get { return Math.Min(Math.Abs(this.width), Math.Abs(this.height)); } } public double longestSide { get { return Math.Max(Math.Abs(this.width), Math.Abs(this.height)); } } public Offset center { get { return new Offset(this.left + this.width / 2.0, this.top + this.height / 2.0); } } public bool contains(Rect rect) { if (!this.outerRect.contains(rect)) { return false; } if (this.isRect) { return true; } return this.checkCornerContainment(rect.left, rect.top) && this.checkCornerContainment(rect.right, rect.top) && this.checkCornerContainment(rect.right, rect.bottom) && this.checkCornerContainment(rect.left, rect.bottom); } bool checkCornerContainment(double x, double y) { double radius; if (x < this.left + this.tlRadius && y < this.top + this.tlRadius) { x -= this.left + this.tlRadius; y -= this.top + this.tlRadius; radius = this.tlRadius; } else if (x < this.left + this.blRadius && y > this.bottom - this.blRadius) { x -= this.left + this.blRadius; y -= this.bottom - this.blRadius; radius = this.blRadius; } else if (x > this.right - this.trRadius && y < this.top + this.trRadius) { x -= this.right - this.trRadius; y -= this.bottom - this.blRadius; radius = this.trRadius; } else if (x > this.right - this.brRadius && y > this.bottom - this.brRadius) { x -= this.right - this.brRadius; y -= this.bottom - this.brRadius; radius = this.brRadius; } else { return true; } // A point is in an ellipse (in standard position) if: // x^2 y^2 // ----- + ----- <= 1 // a^2 b^2 // or : // b^2*x^2 + a^2*y^2 <= (ab)^2 return x * x + y * y <= radius * radius; } public bool Equals(RRect other) { if (ReferenceEquals(null, other)) { return false; } if (ReferenceEquals(this, other)) { return true; } return this.left.Equals(other.left) && this.top.Equals(other.top) && this.right.Equals(other.right) && this.bottom.Equals(other.bottom) && this.tlRadius.Equals(other.tlRadius) && this.trRadius.Equals(other.trRadius) && this.brRadius.Equals(other.brRadius) && this.blRadius.Equals(other.blRadius); } public override bool Equals(object obj) { if (ReferenceEquals(null, obj)) { return false; } if (ReferenceEquals(this, obj)) { return true; } if (obj.GetType() != this.GetType()) { return false; } return this.Equals((RRect) obj); } public override int GetHashCode() { unchecked { var hashCode = this.left.GetHashCode(); hashCode = (hashCode * 397) ^ this.top.GetHashCode(); hashCode = (hashCode * 397) ^ this.right.GetHashCode(); hashCode = (hashCode * 397) ^ this.bottom.GetHashCode(); hashCode = (hashCode * 397) ^ this.tlRadius.GetHashCode(); hashCode = (hashCode * 397) ^ this.trRadius.GetHashCode(); hashCode = (hashCode * 397) ^ this.brRadius.GetHashCode(); hashCode = (hashCode * 397) ^ this.blRadius.GetHashCode(); return hashCode; } } public static bool operator ==(RRect a, RRect b) { return Equals(a, b); } public static bool operator !=(RRect a, RRect b) { return !(a == b); } } }