Code:
/ 4.0 / 4.0 / DEVDIV_TFS / Dev10 / Releases / RTMRel / wpf / src / Core / CSharp / System / Windows / Media / Animation / KeySpline.cs / 1305600 / KeySpline.cs
//------------------------------------------------------------------------------
// Microsoft Avalon
// Copyright (c) Microsoft Corporation, 2001
//
// File: KeySpline.cs
//-----------------------------------------------------------------------------
// Allow suppression of certain presharp messages
#pragma warning disable 1634, 1691
using System;
using System.ComponentModel;
using System.Diagnostics;
using System.Globalization;
using System.Runtime.InteropServices;
using SR=MS.Internal.PresentationCore.SR;
using SRID=MS.Internal.PresentationCore.SRID;
namespace System.Windows.Media.Animation
{
///
/// This class is used by a SplineKeyFrame to define a key frame animation.
///
///
/// Example of a SplineKeyFrame class: SplineDoubleKeyFrame .
/// Example of a key frame animation class: DoubleAnimationUsingKeyFrames .
///
[TypeConverter(typeof(KeySplineConverter))]
[Localizability(LocalizationCategory.None, Readability=Readability.Unreadable)]
public class KeySpline : Freezable, IFormattable
{
#region Constructors
///
/// Creates a new KeySpline.
///
///
/// Default values for control points are (0,0) and (1,1) which will
/// have no effect on the progress of an animation or key frame.
///
public KeySpline()
: base()
{
_controlPoint1 = new Point(0.0, 0.0);
_controlPoint2 = new Point(1.0, 1.0);
}
///
/// Double constructor
///
/// x value for the 0,0 endpoint's control point
/// y value for the 0,0 endpoint's control point
/// x value for the 1,1 endpoint's control point
/// y value for the 1,1 endpoint's control point
public KeySpline(double x1, double y1, double x2, double y2)
: this(new Point(x1, y1), new Point(x2, y2))
{
}
///
/// Point constructor
///
/// the control point for the 0,0 endpoint
/// the control point for the 1,1 endpoint
public KeySpline(Point controlPoint1, Point controlPoint2)
: base()
{
if (!IsValidControlPoint(controlPoint1))
{
throw new ArgumentException(SR.Get(
SRID.Animation_KeySpline_InvalidValue,
"controlPoint1",
controlPoint1));
}
if (!IsValidControlPoint(controlPoint2))
{
throw new ArgumentException(SR.Get(
SRID.Animation_KeySpline_InvalidValue,
"controlPoint2",
controlPoint2));
}
_controlPoint1 = controlPoint1;
_controlPoint2 = controlPoint2;
_isDirty = true;
}
#endregion Constructors
#region Freezable
///
/// Implementation of Freezable.CreateInstanceCore .
///
/// The new Freezable.
protected override Freezable CreateInstanceCore()
{
return new KeySpline();
}
///
/// Implementation of Freezable.CloneCore .
///
/// The KeySpline to copy.
protected override void CloneCore(Freezable sourceFreezable)
{
KeySpline sourceKeySpline = (KeySpline) sourceFreezable;
base.CloneCore(sourceFreezable);
CloneCommon(sourceKeySpline);
}
///
/// Implementation of Freezable.CloneCurrentValueCore .
///
/// The KeySpline to copy.
protected override void CloneCurrentValueCore(Freezable sourceFreezable)
{
KeySpline sourceKeySpline = (KeySpline) sourceFreezable;
base.CloneCurrentValueCore(sourceFreezable);
CloneCommon(sourceKeySpline);
}
///
/// Implementation of Freezable.GetAsFrozenCore .
///
/// The KeySpline to copy.
protected override void GetAsFrozenCore(Freezable sourceFreezable)
{
KeySpline sourceKeySpline = (KeySpline) sourceFreezable;
base.GetAsFrozenCore(sourceFreezable);
CloneCommon(sourceKeySpline);
}
///
/// Implementation of Freezable.GetCurrentValueAsFrozenCore .
///
/// The KeySpline to copy.
protected override void GetCurrentValueAsFrozenCore(Freezable sourceFreezable)
{
KeySpline sourceKeySpline = (KeySpline)sourceFreezable;
base.GetCurrentValueAsFrozenCore(sourceFreezable);
CloneCommon(sourceKeySpline);
}
///
/// Implementation of Freezable.OnChanged .
///
protected override void OnChanged()
{
_isDirty = true;
base.OnChanged();
}
#endregion
#region Public
///
///
///
public Point ControlPoint1
{
get
{
ReadPreamble();
return _controlPoint1;
}
set
{
WritePreamble();
if (value != _controlPoint1)
{
if (!IsValidControlPoint(value))
{
throw new ArgumentException(SR.Get(
SRID.Animation_KeySpline_InvalidValue,
"ControlPoint1",
value));
}
_controlPoint1 = value;
WritePostscript();
}
}
}
///
///
///
public Point ControlPoint2
{
get
{
ReadPreamble();
return _controlPoint2;
}
set
{
WritePreamble();
if (value != _controlPoint2)
{
if (!IsValidControlPoint(value))
{
throw new ArgumentException(SR.Get(
SRID.Animation_KeySpline_InvalidValue,
"ControlPoint2",
value));
}
_controlPoint2 = value;
WritePostscript();
}
}
}
///
/// Calculates spline progress from a linear progress.
///
/// the linear progress
/// the spline progress
public double GetSplineProgress(double linearProgress)
{
ReadPreamble();
if (_isDirty)
{
Build();
}
if (!_isSpecified)
{
return linearProgress;
}
else
{
SetParameterFromX(linearProgress);
return GetBezierValue(_By, _Cy, _parameter);
}
}
#endregion
#region Private
private bool IsValidControlPoint(Point point)
{
return point.X >= 0.0
&& point.X <= 1.0;
}
///
/// Compute cached coefficients.
///
private void Build()
{
Debug.Assert(_isDirty);
if ( _controlPoint1 == new Point(0, 0)
&& _controlPoint2 == new Point(1, 1))
{
// This KeySpline would have no effect on the progress.
_isSpecified = false;
}
else
{
_isSpecified = true;
_parameter = 0;
// X coefficients
_Bx = 3 * _controlPoint1.X;
_Cx = 3 * _controlPoint2.X;
_Cx_Bx = 2 * (_Cx - _Bx);
_three_Cx = 3 - _Cx;
// Y coefficients
_By = 3 * _controlPoint1.Y;
_Cy = 3 * _controlPoint2.Y;
}
_isDirty = false;
}
///
/// Get an X or Y value with the Bezier formula.
///
/// the second Bezier coefficient
/// the third Bezier coefficient
/// the parameter value to evaluate at
/// the value of the Bezier function at the given parameter
static private double GetBezierValue(double b, double c, double t)
{
double s = 1.0 - t;
double t2 = t * t;
return b * t * s * s + c * t2 * s + t2 * t;
}
///
/// Get X and dX/dt at a given parameter
///
/// the parameter value to evaluate at
/// the value of x there
/// the value of dx/dt there
private void GetXAndDx(double t, out double x, out double dx)
{
Debug.Assert(_isSpecified);
double s = 1.0 - t;
double t2 = t * t;
double s2 = s * s;
x = _Bx * t * s2 + _Cx * t2 * s + t2 * t;
dx = _Bx * s2 + _Cx_Bx * s * t + _three_Cx * t2;
}
///
/// Compute the parameter value that corresponds to a given X value, using a modified
/// clamped Newton-Raphson algorithm to solve the equation X(t) - time = 0. We make
/// use of some known properties of this particular function:
/// * We are only interested in solutions in the interval [0,1]
/// * X(t) is increasing, so we can assume that if X(t) > time t > solution. We use
/// that to clamp down the search interval with every probe.
/// * The derivative of X and Y are between 0 and 3.
///
/// the time, scaled to fit in [0,1]
private void SetParameterFromX(double time)
{
Debug.Assert(_isSpecified);
// Dynamic search interval to clamp with
double bottom = 0;
double top = 1;
if (time == 0)
{
_parameter = 0;
}
else if (time == 1)
{
_parameter = 1;
}
else
{
// Loop while improving the guess
while (top - bottom > fuzz)
{
double x, dx, absdx;
// Get x and dx/dt at the current parameter
GetXAndDx(_parameter, out x, out dx);
absdx = Math.Abs(dx);
// Clamp down the search interval, relying on the monotonicity of X(t)
if (x > time)
{
top = _parameter; // because parameter > solution
}
else
{
bottom = _parameter; // because parameter < solution
}
// The desired accuracy is in ultimately in y, not in x, so the
// accuracy needs to be multiplied by dx/dy = (dx/dt) / (dy/dt).
// But dy/dt <=3, so we omit that
if (Math.Abs(x - time) < accuracy * absdx)
{
break; // We're there
}
if (absdx > fuzz)
{
// Nonzero derivative, use Newton-Raphson to obtain the next guess
double next = _parameter - (x - time) / dx;
// If next guess is out of the search interval then clamp it in
if (next >= top)
{
_parameter = (_parameter + top) / 2;
}
else if (next <= bottom)
{
_parameter = (_parameter + bottom) / 2;
}
else
{
// Next guess is inside the search interval, accept it
_parameter = next;
}
}
else // Zero derivative, halve the search interval
{
_parameter = (bottom + top) / 2;
}
}
}
}
///
/// Copy the common fields for the various Clone methods
///
/// The KeySpline to copy.
private void CloneCommon(KeySpline sourceKeySpline)
{
_controlPoint1 = sourceKeySpline._controlPoint1;
_controlPoint2 = sourceKeySpline._controlPoint2;
_isDirty = true;
}
#endregion
#region IFormattable
///
/// Creates a string representation of this KeySpline based on the current culture.
///
///
/// A string representation of this KeySpline.
///
public override string ToString()
{
ReadPreamble();
return InternalConvertToString(null, null);
}
///
/// Creates a string representation of this KeySpline based on the IFormatProvider
/// passed in.
///
///
/// The format provider to use. If the provider is null, the CurrentCulture is used.
///
///
/// A string representation of this KeySpline.
///
public string ToString(IFormatProvider formatProvider)
{
ReadPreamble();
return InternalConvertToString(null, formatProvider);
}
///
/// Creates a string representation of this KeySpline based on the IFormatProvider
/// passed in.
///
///
/// The format string to use.
///
///
/// The format provider to use. If the provider is null, the CurrentCulture is used.
///
///
/// A string representation of this KeySpline.
///
string IFormattable.ToString(string format, IFormatProvider formatProvider)
{
ReadPreamble();
return InternalConvertToString(format, formatProvider);
}
///
/// Creates a string representation of this KeySpline based on the IFormatProvider
/// passed in.
///
///
/// The format string to use.
///
///
/// The format provider to use. If the provider is null, the CurrentCulture is used.
///
///
/// A string representation of this KeySpline.
///
internal string InternalConvertToString(string format, IFormatProvider formatProvider)
{
// Helper to get the numeric list separator for a given culture.
char separator = MS.Internal.TokenizerHelper.GetNumericListSeparator(formatProvider);
return String.Format(
formatProvider,
"{1}{0}{2}",
separator,
_controlPoint1,
_controlPoint2);
}
#endregion
#region Data
//
// Control points
private Point _controlPoint1;
private Point _controlPoint2;
private bool _isSpecified;
private bool _isDirty;
// The parameter that corresponds to the most recent time
private double _parameter;
// Cached coefficients
private double _Bx; // 3*points[0].X
private double _Cx; // 3*points[1].X
private double _Cx_Bx; // 2*(Cx - Bx)
private double _three_Cx; // 3 - Cx
private double _By; // 3*points[0].Y
private double _Cy; // 3*points[1].Y
// constants
private const double accuracy = .001; // 1/3 the desired accuracy in X
private const double fuzz = .000001; // computational zero
#endregion
}
}
// File provided for Reference Use Only by Microsoft Corporation (c) 2007.
// Copyright (c) Microsoft Corporation. All rights reserved.
//------------------------------------------------------------------------------
// Microsoft Avalon
// Copyright (c) Microsoft Corporation, 2001
//
// File: KeySpline.cs
//-----------------------------------------------------------------------------
// Allow suppression of certain presharp messages
#pragma warning disable 1634, 1691
using System;
using System.ComponentModel;
using System.Diagnostics;
using System.Globalization;
using System.Runtime.InteropServices;
using SR=MS.Internal.PresentationCore.SR;
using SRID=MS.Internal.PresentationCore.SRID;
namespace System.Windows.Media.Animation
{
///
/// This class is used by a SplineKeyFrame to define a key frame animation.
///
///
/// Example of a SplineKeyFrame class: SplineDoubleKeyFrame .
/// Example of a key frame animation class: DoubleAnimationUsingKeyFrames .
///
[TypeConverter(typeof(KeySplineConverter))]
[Localizability(LocalizationCategory.None, Readability=Readability.Unreadable)]
public class KeySpline : Freezable, IFormattable
{
#region Constructors
///
/// Creates a new KeySpline.
///
///
/// Default values for control points are (0,0) and (1,1) which will
/// have no effect on the progress of an animation or key frame.
///
public KeySpline()
: base()
{
_controlPoint1 = new Point(0.0, 0.0);
_controlPoint2 = new Point(1.0, 1.0);
}
///
/// Double constructor
///
/// x value for the 0,0 endpoint's control point
/// y value for the 0,0 endpoint's control point
/// x value for the 1,1 endpoint's control point
/// y value for the 1,1 endpoint's control point
public KeySpline(double x1, double y1, double x2, double y2)
: this(new Point(x1, y1), new Point(x2, y2))
{
}
///
/// Point constructor
///
/// the control point for the 0,0 endpoint
/// the control point for the 1,1 endpoint
public KeySpline(Point controlPoint1, Point controlPoint2)
: base()
{
if (!IsValidControlPoint(controlPoint1))
{
throw new ArgumentException(SR.Get(
SRID.Animation_KeySpline_InvalidValue,
"controlPoint1",
controlPoint1));
}
if (!IsValidControlPoint(controlPoint2))
{
throw new ArgumentException(SR.Get(
SRID.Animation_KeySpline_InvalidValue,
"controlPoint2",
controlPoint2));
}
_controlPoint1 = controlPoint1;
_controlPoint2 = controlPoint2;
_isDirty = true;
}
#endregion Constructors
#region Freezable
///
/// Implementation of Freezable.CreateInstanceCore .
///
/// The new Freezable.
protected override Freezable CreateInstanceCore()
{
return new KeySpline();
}
///
/// Implementation of Freezable.CloneCore .
///
/// The KeySpline to copy.
protected override void CloneCore(Freezable sourceFreezable)
{
KeySpline sourceKeySpline = (KeySpline) sourceFreezable;
base.CloneCore(sourceFreezable);
CloneCommon(sourceKeySpline);
}
///
/// Implementation of Freezable.CloneCurrentValueCore .
///
/// The KeySpline to copy.
protected override void CloneCurrentValueCore(Freezable sourceFreezable)
{
KeySpline sourceKeySpline = (KeySpline) sourceFreezable;
base.CloneCurrentValueCore(sourceFreezable);
CloneCommon(sourceKeySpline);
}
///
/// Implementation of Freezable.GetAsFrozenCore .
///
/// The KeySpline to copy.
protected override void GetAsFrozenCore(Freezable sourceFreezable)
{
KeySpline sourceKeySpline = (KeySpline) sourceFreezable;
base.GetAsFrozenCore(sourceFreezable);
CloneCommon(sourceKeySpline);
}
///
/// Implementation of Freezable.GetCurrentValueAsFrozenCore .
///
/// The KeySpline to copy.
protected override void GetCurrentValueAsFrozenCore(Freezable sourceFreezable)
{
KeySpline sourceKeySpline = (KeySpline)sourceFreezable;
base.GetCurrentValueAsFrozenCore(sourceFreezable);
CloneCommon(sourceKeySpline);
}
///
/// Implementation of Freezable.OnChanged .
///
protected override void OnChanged()
{
_isDirty = true;
base.OnChanged();
}
#endregion
#region Public
///
///
///
public Point ControlPoint1
{
get
{
ReadPreamble();
return _controlPoint1;
}
set
{
WritePreamble();
if (value != _controlPoint1)
{
if (!IsValidControlPoint(value))
{
throw new ArgumentException(SR.Get(
SRID.Animation_KeySpline_InvalidValue,
"ControlPoint1",
value));
}
_controlPoint1 = value;
WritePostscript();
}
}
}
///
///
///
public Point ControlPoint2
{
get
{
ReadPreamble();
return _controlPoint2;
}
set
{
WritePreamble();
if (value != _controlPoint2)
{
if (!IsValidControlPoint(value))
{
throw new ArgumentException(SR.Get(
SRID.Animation_KeySpline_InvalidValue,
"ControlPoint2",
value));
}
_controlPoint2 = value;
WritePostscript();
}
}
}
///
/// Calculates spline progress from a linear progress.
///
/// the linear progress
/// the spline progress
public double GetSplineProgress(double linearProgress)
{
ReadPreamble();
if (_isDirty)
{
Build();
}
if (!_isSpecified)
{
return linearProgress;
}
else
{
SetParameterFromX(linearProgress);
return GetBezierValue(_By, _Cy, _parameter);
}
}
#endregion
#region Private
private bool IsValidControlPoint(Point point)
{
return point.X >= 0.0
&& point.X <= 1.0;
}
///
/// Compute cached coefficients.
///
private void Build()
{
Debug.Assert(_isDirty);
if ( _controlPoint1 == new Point(0, 0)
&& _controlPoint2 == new Point(1, 1))
{
// This KeySpline would have no effect on the progress.
_isSpecified = false;
}
else
{
_isSpecified = true;
_parameter = 0;
// X coefficients
_Bx = 3 * _controlPoint1.X;
_Cx = 3 * _controlPoint2.X;
_Cx_Bx = 2 * (_Cx - _Bx);
_three_Cx = 3 - _Cx;
// Y coefficients
_By = 3 * _controlPoint1.Y;
_Cy = 3 * _controlPoint2.Y;
}
_isDirty = false;
}
///
/// Get an X or Y value with the Bezier formula.
///
/// the second Bezier coefficient
/// the third Bezier coefficient
/// the parameter value to evaluate at
/// the value of the Bezier function at the given parameter
static private double GetBezierValue(double b, double c, double t)
{
double s = 1.0 - t;
double t2 = t * t;
return b * t * s * s + c * t2 * s + t2 * t;
}
///
/// Get X and dX/dt at a given parameter
///
/// the parameter value to evaluate at
/// the value of x there
/// the value of dx/dt there
private void GetXAndDx(double t, out double x, out double dx)
{
Debug.Assert(_isSpecified);
double s = 1.0 - t;
double t2 = t * t;
double s2 = s * s;
x = _Bx * t * s2 + _Cx * t2 * s + t2 * t;
dx = _Bx * s2 + _Cx_Bx * s * t + _three_Cx * t2;
}
///
/// Compute the parameter value that corresponds to a given X value, using a modified
/// clamped Newton-Raphson algorithm to solve the equation X(t) - time = 0. We make
/// use of some known properties of this particular function:
/// * We are only interested in solutions in the interval [0,1]
/// * X(t) is increasing, so we can assume that if X(t) > time t > solution. We use
/// that to clamp down the search interval with every probe.
/// * The derivative of X and Y are between 0 and 3.
///
/// the time, scaled to fit in [0,1]
private void SetParameterFromX(double time)
{
Debug.Assert(_isSpecified);
// Dynamic search interval to clamp with
double bottom = 0;
double top = 1;
if (time == 0)
{
_parameter = 0;
}
else if (time == 1)
{
_parameter = 1;
}
else
{
// Loop while improving the guess
while (top - bottom > fuzz)
{
double x, dx, absdx;
// Get x and dx/dt at the current parameter
GetXAndDx(_parameter, out x, out dx);
absdx = Math.Abs(dx);
// Clamp down the search interval, relying on the monotonicity of X(t)
if (x > time)
{
top = _parameter; // because parameter > solution
}
else
{
bottom = _parameter; // because parameter < solution
}
// The desired accuracy is in ultimately in y, not in x, so the
// accuracy needs to be multiplied by dx/dy = (dx/dt) / (dy/dt).
// But dy/dt <=3, so we omit that
if (Math.Abs(x - time) < accuracy * absdx)
{
break; // We're there
}
if (absdx > fuzz)
{
// Nonzero derivative, use Newton-Raphson to obtain the next guess
double next = _parameter - (x - time) / dx;
// If next guess is out of the search interval then clamp it in
if (next >= top)
{
_parameter = (_parameter + top) / 2;
}
else if (next <= bottom)
{
_parameter = (_parameter + bottom) / 2;
}
else
{
// Next guess is inside the search interval, accept it
_parameter = next;
}
}
else // Zero derivative, halve the search interval
{
_parameter = (bottom + top) / 2;
}
}
}
}
///
/// Copy the common fields for the various Clone methods
///
/// The KeySpline to copy.
private void CloneCommon(KeySpline sourceKeySpline)
{
_controlPoint1 = sourceKeySpline._controlPoint1;
_controlPoint2 = sourceKeySpline._controlPoint2;
_isDirty = true;
}
#endregion
#region IFormattable
///
/// Creates a string representation of this KeySpline based on the current culture.
///
///
/// A string representation of this KeySpline.
///
public override string ToString()
{
ReadPreamble();
return InternalConvertToString(null, null);
}
///
/// Creates a string representation of this KeySpline based on the IFormatProvider
/// passed in.
///
///
/// The format provider to use. If the provider is null, the CurrentCulture is used.
///
///
/// A string representation of this KeySpline.
///
public string ToString(IFormatProvider formatProvider)
{
ReadPreamble();
return InternalConvertToString(null, formatProvider);
}
///
/// Creates a string representation of this KeySpline based on the IFormatProvider
/// passed in.
///
///
/// The format string to use.
///
///
/// The format provider to use. If the provider is null, the CurrentCulture is used.
///
///
/// A string representation of this KeySpline.
///
string IFormattable.ToString(string format, IFormatProvider formatProvider)
{
ReadPreamble();
return InternalConvertToString(format, formatProvider);
}
///
/// Creates a string representation of this KeySpline based on the IFormatProvider
/// passed in.
///
///
/// The format string to use.
///
///
/// The format provider to use. If the provider is null, the CurrentCulture is used.
///
///
/// A string representation of this KeySpline.
///
internal string InternalConvertToString(string format, IFormatProvider formatProvider)
{
// Helper to get the numeric list separator for a given culture.
char separator = MS.Internal.TokenizerHelper.GetNumericListSeparator(formatProvider);
return String.Format(
formatProvider,
"{1}{0}{2}",
separator,
_controlPoint1,
_controlPoint2);
}
#endregion
#region Data
//
// Control points
private Point _controlPoint1;
private Point _controlPoint2;
private bool _isSpecified;
private bool _isDirty;
// The parameter that corresponds to the most recent time
private double _parameter;
// Cached coefficients
private double _Bx; // 3*points[0].X
private double _Cx; // 3*points[1].X
private double _Cx_Bx; // 2*(Cx - Bx)
private double _three_Cx; // 3 - Cx
private double _By; // 3*points[0].Y
private double _Cy; // 3*points[1].Y
// constants
private const double accuracy = .001; // 1/3 the desired accuracy in X
private const double fuzz = .000001; // computational zero
#endregion
}
}
// File provided for Reference Use Only by Microsoft Corporation (c) 2007.
// Copyright (c) Microsoft Corporation. All rights reserved.
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- BufferedReadStream.cs
- MulticastIPAddressInformationCollection.cs
- DataPointer.cs
- ObjectQueryState.cs
- StylusPointPropertyUnit.cs
- OTFRasterizer.cs
- TrackingDataItem.cs
- TypographyProperties.cs
- ContentType.cs
- BlurBitmapEffect.cs
- XmlObjectSerializerWriteContextComplexJson.cs
- BoundsDrawingContextWalker.cs
- IssuanceLicense.cs
- SymLanguageType.cs
- AttachInfo.cs
- COAUTHINFO.cs
- RoleServiceManager.cs
- GridViewCommandEventArgs.cs
- Selector.cs
- recordstatescratchpad.cs
- ValueCollectionParameterReader.cs
- StateRuntime.cs
- SetterTriggerConditionValueConverter.cs
- Stackframe.cs
- NominalTypeEliminator.cs
- dataprotectionpermissionattribute.cs
- ObjectViewQueryResultData.cs
- DataFieldConverter.cs
- UnknownBitmapDecoder.cs
- ColorAnimation.cs
- XmlQueryTypeFactory.cs
- MenuItemBinding.cs
- MenuItemCollection.cs
- FontEditor.cs
- OdbcInfoMessageEvent.cs
- Storyboard.cs
- Group.cs