WW
Constructor.
The ray's origin.
The ray's direction.
Constructor.
Returns string representation.
Gets or sets the ray's direction.
Gets or sets the ray's origin.
Has some attributes defining how a property behaves in
a .
Is the property visible in a property grid.
Represents a null 2D segment iterator.
Iterator over segments of a .
It is expected that implementations represents a snapshot of the shape's state
as it was when the iterator was created via the shape's
method, i.e. changes which are applied
to the shape after the iterator is constructed are not expected to be
reflected by the iterator itself.
Move to the next segment.
Get the current segment.
Output of the points of the current segment, array must have at least capacity 3 at
Offset into the array to write the result to
Type of the current segment
Get the type of the current segment.
Type of the current segment
Get the total number of segments.
Return -1 if number is unknown.
Get the total number of points.
Return -1 if number is unknown.
Gets the null segment iterator.
Move to the next segment.
Get the current segment.
Output of the points of the current segment, array must have at least capacity 3 at
Offset into the array to write the result to
Type of the current segment
Get the type of the current segment.
Get the total number of segments.
Return -1 if number is unknown.
Get the total number of points.
Return -1 if number is unknown.
Represents a mutable big integer.
For efficiency it can sometimes be useful to have a mutable big integer where computations happen in a loop
that is executed often.
Compares this big integer with specified big integer by magnitude only (ignores the signs).
Updates the length so any leading zeroes are removed from digits[0..length -1].
2-dimensional multi precision zero matrix.
2-dimensional multi precision identity matrix.
Initializes a new instance of the structure with the specified values.
Initializes a new instance of the structure with the specified values.
An array containing the matrix values in row-major order.
Initializes a new instance of the structure with the specified values.
An array containing the matrix values in row-major order.
Initializes a new instance of the structure with the specified values.
A instance holding values for the first column.
A instance holding values for the second column.
Initializes a new instance of the class using a given matrix.
Adds two matrices.
Subtracts a matrix from a matrix.
result[row, column] = a[row, column] - b[row, column]
Multiplies two matrices.
Transposes a matrix.
A instance.
A new instance containing the transposed matrix.
Returns the hashcode for this instance.
A 32-bit signed integer hash code.
Returns a value indicating whether this instance is equal to
the specified object.
An object to compare to this instance.
if is a and has the same values as this instance; otherwise, .
Returns a string representation of this object.
A string representation of this object.
Transforms given vector by this matrix.
Transforms given point by this matrix.
Calculates the determinant value of the matrix.
The determinant value of the matrix.
Calculates the inverse of the matrix.
It is not always possible to invert a matrix, in which case you'll get a
matrix containing infinite values. See the method for
a method which indicates whether inversion was possible or not.
A instance containing the inverse of the matrix.
Calculates the inverse of the matrix.
set to true if the inversion was possible and false otherwise
A instance containing the inverse of the matrix.
Calculates the adjoint of the matrix.
A instance containing the adjoint of the matrix.
Gets the transpose of this matrix.
Build a 1x1 matrix (BigRational) from from the current matrix without the given row and column.
The row to remove.
The column to remove.
A BigRational containing the result Minor.
Calculates the trace of the matrix which is the sum of its diagonal elements.
Returns the trace value of the matrix.
Transposes this matrix.
Convert to Drawing2BR system matrix.
system matrix
Tests whether two specified matrices are equal.
The left-hand matrix.
The right-hand matrix.
if the two matrices are equal; otherwise, .
Tests whether two specified matrices are not equal.
The left-hand matrix.
The right-hand matrix.
if the two matrices are not equal; otherwise, .
Adds two matrices.
A instance.
A instance.
A new instance containing the sum.
Subtracts a matrix from a matrix.
A instance.
A instance.
A new instance containing the difference.
Multiplies two matrices.
A instance.
A instance.
A new instance containing the result.
Transforms given vector by a matrix.
A instance.
A instance.
A new instance containing the result.
Transforms given point by a matrix.
A instance.
A instance.
A new instance containing the result.
Returns true if this matrix is equal to specified matrix.
Indexer allowing to access the matrix elements by an index
where index = 2 * column + row.
Indexer allowing to access the matrix elements by row and column.
A rectangular array of pixel.
Get the pixel at the given position.
Only defined for valid bitmaps.
x position, between 0 and
- Place the model using
- Rotate the model using
- Scale the model using
- Move the model away by (only 3D)
Project the model using either to project the model into screen space,
or to project the model into a screen independent space
where both X and Y are in the range -1 to 1.
The method is preparing all settings in a way that a model with a given
bounding box is visible.
A provider for transformations.
Event released when one of the provided transformation is changed.
Get the world transformation.
The world transformation prepares the model, i.e. it
places it correctly according to the view axis and rotates it.
Get the projection transformation.
The projection transformation projects the model placed by the
into screen coordinates.
Get the projection transformation in a canonical form.
This is the projection transformation where the screen coordinates are in canonical form,
i.e they are in the interval -1 to 1.
Get the complete transformation.
The complete transformation is the combination of and .
Reset all transformations to a useful initial state.
This method requires valid model bounds and valid view size.
Reset all transformations to a useful initial state.
Bounds of model to be displayed.
Raises the event.
The instance containing the event data.
Move the model so that a resulting movement in screen coordinates is reached.
Desired movement in screen coordinates, X coordinate.
Desired movement in screen coordinates, Y coordinate.
Zooms into the specified rectangle (specified in the display coordinate system).
Store the state of this provider into a mapping.
Mapping to store to.
Restore the state of this provider from a mapping.
Mapping to restore from.
Event cast when any of the transformations of this transformation provider is changed.
Gets or sets the model translation.
The model translation is the first transformation which is applied to the model.
Initially the model is moved so that the center of its bounding box lies at the
world center.
Get the transformation defined by the .
Gets or sets the model scaling.
The model scaling is applied after the model rotation .
Get the transformation defined by the .
Gets or sets the model orientation.
The model orientation is applied after the model translation (see )
and before the model scaling ().
Gets the transformation defined by the .
Gets or sets the view scaling factor.
Gets the view scaling size.
Gets or sets the target window rectangle of the view.
In most cases this is a rectangle with corner (0,0) and the size of the target window.
Gets the effective view window.
This can be e.g. smaller than because of a margin on each side.
Gets or sets whether the direction of the Y axis is inverted during projection.
By default this is true, because in DXF the Y axis is pointing upward,
while in most screen coordinate systems it is pointing downward.
Get the world transformation.
The world transformation prepares the model, i.e. it
places it correctly according to the view axis and rotates it.
Get the projection transformation in a canonical form.
This is the projection transformation where the screen coordinates are in canonical form,
i.e they are in the interval -1 to 1.
Get the projection transformation.
The projection transformation projects the model placed by the
into screen coordinates.
Get the complete transformation.
The complete transformation is the combination of and .
Reset all transformations to a useful initial state.
Gets the view scaling size.
Gets the effective view window.
This can be e.g. smaller than because of a margin on each side.
Gets the canonical projection transform.
The canonical projection transform.
Get the world transformation.
The world transformation prepares the model, i.e. it
places it correctly according to the view axis and rotates it.
An event arguments class containing an .
Initializes a new instance of the class.
Gets the interactor.
The w-coordinate.
The x-coordinate.
The y-coordinate.
The z-coordinate.
Zero quaternion.
Identity quaternion.
X-Axis quaternion.
Y-Axis quaternion.
Z-Axis quaternion.
W-Axis quaternion.
Initializes a new instance of the class with the specified coordinates.
Initializes a new instance of the class with the specified coordinates.
A scalar.
A instance.
Initializes a new instance of the class with the specified coordinates.
An array containing the 4 coordinate parameters.
Initializes a new instance of the class using coordinates from a given instance.
A to get the coordinates from.
Initializes a new instance of the class using coordinates from a given instance.
Create unit quaternion from vector difference.
start vector
end vector
Converts the specified string to its equivalent.
Parsing is done using the .
A string representation of a
A that represents the vector specified by the parameter.
is thrown when the string could not be parsed.
Adds two quaternions.
A instance.
A instance.
A new instance containing the sum.
Adds two quaternions and put the result in the third quaternion.
A instance.
A instance.
A instance to hold the result.
Subtracts a quaternion from a quaternion.
A instance.
A instance.
A new instance containing the difference.
Multiplies quaternion by quaternion .
A instance.
A instance.
A new containing the result.
Multiplies a quaternion by a scalar.
A instance.
A scalar.
A instance to hold the result.
Divides a quaternion by a scalar.
A instance.
A scalar.
A instance to hold the result.
Calculates the dot product of two quaternions.
A instance.
A instance.
The dot product value.
Converts a given to a matrix.
A instance.
A new instance.
Turn an axis and an angle to a quaternion.
A unit instance.
An angle.
A new instance.
Gets the modulus of the quaternion.
The modulus of the quaternion: sqrt(w*w + x*x + y*y + z*z).
Gets the squared modulus of the quaternion.
The squared modulus of the quaternion: (w*w + x*x + y*y + z*z).
Gets the conjugate of the quaternion.
Inverts the quaternion.
Normelizes the quaternion.
Returns the hashcode for this instance.
A 32-bit signed integer hash code.
Returns a value indicating whether this instance is equal to
the specified object.
An object to compare to this instance.
if is a and has the same values as this instance; otherwise, .
Returns a string representation of this object.
A string representation of this object.
Tests whether two specified quaternions are equal.
The left-hand quaternion.
The right-hand quaternion.
if the two quaternions are equal; otherwise, .
Tests whether two specified quaternions are not equal.
The left-hand quaternion.
The right-hand quaternion.
if the two quaternions are not equal; otherwise, .
Adds two quaternions.
A instance.
A instance.
A new instance containing the sum.
Subtracts a quaternion from a quaternion.
A instance.
A instance.
A new instance containing the difference.
Multiplies quaternion by quaternion .
A instance.
A instance.
A new containing the result.
Multiplies a quaternion by a scalar.
A instance.
A scalar.
A instance to hold the result.
Multiplies a quaternion by a scalar.
A instance.
A scalar.
A instance to hold the result.
Divides a quaternion by a scalar.
A instance.
A scalar.
A instance to hold the result.
Divides a scalar by a quaternion.
A instance.
A scalar.
A instance to hold the result.
Converts the quaternion to an array of double precision floating point numbers.
A instance.
An array of double precision floating point numbers.
The array is [w, x, y, z].
Returns true if this quaternion is equal to specified quaternion.
Indexer ( [w, x, y, z] ).
Converts a to and from string representation.
Returns whether this converter can convert an object of the given type to the type of this converter, using the specified context.
An that provides a format context.
A that represents the type you want to convert from.
true if this converter can perform the conversion; otherwise, false.
Returns whether this converter can convert the object to the specified type, using the specified context.
An that provides a format context.
A that represents the type you want to convert to.
true if this converter can perform the conversion; otherwise, false.
Converts the given value object to the specified type, using the specified context and culture information.
An that provides a format context.
A object. If a null reference (Nothing in Visual Basic) is passed, the current culture is assumed.
The to convert.
The Type to convert the parameter to.
An that represents the converted value.
Converts the given object to the type of this converter, using the specified context and culture information.
An that provides a format context.
The to use as the current culture.
The to convert.
An that represents the converted value.
Failed parsing from string.
Returns whether this object supports a standard set of values that can be picked from a list.
An that provides a format context.
true if should be called to find a common set of values the object supports; otherwise, false.
Returns a collection of standard values for the data type this type converter is designed for when provided with a format context.
An that provides a format context that can be used to extract additional information about the environment from which this converter is invoked. This parameter or properties of this parameter can be a null reference.
A that holds a standard set of valid values, or a null reference (Nothing in Visual Basic) if the data type does not support a standard set of values.
Info for a pen as used in CadLib context.
It is just defined by a color and a line width.
Indicates whether the current object is equal to another object of the same type.
true if the current object is equal to the parameter; otherwise, false.
An object to compare with this object.
Determines whether the specified is equal to the current .
true if the specified is equal to the current ; otherwise, false.
The to compare with the current . 2
Serves as a hash function for a particular type.
A hash code for the current .
2
Get the color of the pen.
Get the line width of the pen.
A simple transformation provider suitable for 3D views.
Set the ViewWindow and
call to initialize this class.
The basic difference with the 2D version is that a 3D view allows perspective projections.
Reset all transformations to a useful initial state.
Store the state of this provider into a mapping.
Mapping to store to.
Restore the state of this provider from a mapping.
Mapping to restore from.
Sets/gets whether the view projection is perspective.
Gets the canonical projection transform.
The canonical projection transform.
Gets or sets the camera distance.
The model is moved from the away by this value.
In case of a perspectival projection this is also the distance where
the is valid.
Gets or sets the view scaling size.
Get the transformation defined by the .
Gets or sets the front clip distance.
Objects nearer to the viewer than this distance are discarded.
Hardware accelerated graphics systems like OpenGL, DirectX or XNA
require this value to be greater than 0 (i.e. 0 itself is not allowed),
and the z buffering may produce bad results if the ratio of
/ is
becoming too large.
Gets or sets the back clip distance.
Objects farer wawy from the viewer than this distance are discarded.
HAs to be greater than or
nothing will be visible.
Hardware accelerated graphics systems like OpenGL, DirectX or XNA
may produce bad z buffering results if the ratio of
/ is
becoming too large.
Get the world transformation.
The world transformation prepares the model, i.e. it
places it correctly according to the view axis and rotates it.
The x-coordinate.
The y-coordinate.
2D zero vector.
2D X-Axis vector.
2D Y-Axis vector.
Initializes this vector with given coordinates.
Initializes this vector with given coordinates.
Initializes this vector with given coordinates.
Initializes this vector with coordinates from given source vector.
Adds given vectors.
Subtracts given vectors.
u - p.
Divides a vector by a scalar.
Multiplies a vector by a scalar.
Calculates the dot product of two vectors.
Negates a vector.
Tests whether two vectors are approximately equal using default tolerance value.
Only use for vectors of magnitude 1.0.
if the two vectors are approximately equal; otherwise, .
Tests whether two vectors are approximately equal given a tolerance value.
Vector 1.
Vector 2.
The tolerance value used to test approximate equality.
if the two vectors are approximately equal; otherwise, .
Returns the angle in radians between given two vectors.
The returned value is in the range between -pi and pi.
Scale the vector so that its length is 1.
Returns the unit vector of the current vector.
Returns the length of the vector.
The length of the vector. (Sqrt(X*X + Y*Y ))
Returns the squared length of the vector.
The squared length of the vector. (X*X + Y*Y)
Gets a direction vector from the specified angle in radians.
the angle in radians.
Gets the angle in radians between this vector and the x-axis.
See .
See .
Returns a string representation of this object (format: "x, y").
To string conversion is done using the .
Parse given string (format: "x,y").
Parsing is done using the .
is thrown when the string could not be parsed.
Tests whether two specified vectors are equal.
Tests whether two specified vectors are not equal.
Negates the values of the vector.
Adds two vectors.
Subtracts a vector from a vector.
Multiplies a vector by a scalar.
Multiplies a vector by a scalar.
Divides a vector by a scalar.
Converts the vector to an array of single precision floating point values.
Returns true if this vector is equal to specified vector.
Indexer.
Converts a to and from string representation.
Returns whether this converter can convert an object of the given type to the type of this converter, using the specified context.
Returns whether this converter can convert the object to the specified type, using the specified context.
Converts the given value object to the specified type, using the specified context and culture information.
Converts the given object to the type of this converter, using the specified context and culture information.
Failed parsing from string.
Returns whether this object supports a standard set of values that can be picked from a list.
true if should be called to find a common set of values the object supports; otherwise, false.
Returns a collection of standard values for the data type this type converter is designed for when provided with a format context.
A that holds a standard set of valid values, or a null reference (Nothing in Visual Basic) if the data type does not support a standard set of values.
The x-coordinate.
The y-coordinate.
The 2F zero point.
Initializes this point with given coordinates.
Initializes this point with given coordinates.
Initializes this point with given coordinates.
Initializes this point with coordinates from given source point.
Initializes this point with coordinates from given source point.
Adds point to a point and returns the result.
p + p.
Subtracts point from a point and returns the result.
p - p.
Returns the difference point between given points.
a - b.
Tests whether two points are approximately equal using default tolerance value.
Only use for points of magnitude 1.0.
if the two points are approximately equal; otherwise, .
Tests whether two points are approximately equal given a tolerance value.
Point 1.
Point 2.
The tolerance value used to test approximate equality.
if the two points are approximately equal; otherwise, .
Gets the mid point of specified 2 points.
See .
See .
Returns a string representation of this object (format: "x, y").
To string conversion is done using the .
Parse given string (format: "x,y").
Parsing is done using the .
is thrown when the string could not be parsed.
Tests whether two specified points are equal.
Tests whether two specified points are not equal.
Adds a vector to a point.
Adds a vector to a point.
Subtracts a vector from a point.
Returns the difference vector between given points.
Converts the point to an array of single precision floating point values.
Converts given 3D point to a 2D point as follows:
result = new Point2F(p.X, p.Y);
Converts given 4F vector to a 2F point as follows:
result = new Point2F(p.X / p.W, p.Y / p.W);
This conversion only works if p.W is unequal to zero.
(when equal to zero the vector represents a direction).
Converts given 2F vector to a 2F point.
Returns true if this point is equal to specified point.
Indexer.
Converts a to and from string representation.
Returns whether this converter can convert an object of the given type to the type of this converter, using the specified context.
Returns whether this converter can convert the object to the specified type, using the specified context.
Converts the given value object to the specified type, using the specified context and culture information.
Converts the given object to the type of this converter, using the specified context and culture information.
Failed parsing from string.
Returns whether this object supports a standard set of values that can be picked from a list.
true if should be called to find a common set of values the object supports; otherwise, false.
Returns a collection of standard values for the data type this type converter is designed for when provided with a format context.
A that holds a standard set of valid values, or a null reference (Nothing in Visual Basic) if the data type does not support a standard set of values.
2-dimensional single precision zero matrix.
2-dimensional single precision identity matrix.
Initializes a new instance of the structure with the specified values.
Initializes a new instance of the structure with the specified values.
An array containing the matrix values in row-major order.
Initializes a new instance of the structure with the specified values.
An array containing the matrix values in row-major order.
Initializes a new instance of the structure with the specified values.
A instance holding values for the first column.
A instance holding values for the second column.
Initializes a new instance of the class using a given matrix.
Adds two matrices.
Subtracts a matrix from a matrix.
result[row, column] = a[row, column] - b[row, column]
Multiplies two matrices.
Transposes a matrix.
A instance.
A new instance containing the transposed matrix.
Returns the hashcode for this instance.
A 32-bit signed integer hash code.
Returns a value indicating whether this instance is equal to
the specified object.
An object to compare to this instance.
if is a and has the same values as this instance; otherwise, .
Returns a string representation of this object.
A string representation of this object.
Transforms a given vector by this matrix.
Transforms given point by this matrix.
Calculates the determinant value of the matrix.
The determinant value of the matrix.
Calculates the inverse of the matrix.
It is not always possible to invert a matrix, in which case you'll get a
matrix containing infinite values. See the method for
a method which indicates whether inversion was possible or not.
A instance containing the inverse of the matrix.
Calculates the inverse of the matrix.
set to true if the inversion was possible and false otherwise
A instance containing the inverse of the matrix.
Calculates the adjoint of the matrix.
A instance containing the adjoint of the matrix.
Gets the transpose of this matrix.
Build a 1x1 matrix (float) from from the current matrix without the given row and column.
The row to remove.
The column to remove.
A instance containing the result Minor.
Calculates the trace of the matrix which is the sum of its diagonal elements.
Returns the trace value of the matrix.
Transposes this matrix.
Tests whether two matrices are approximately equal using default tolerance value.
if the two matrices are approximately equal; otherwise, .
Tests whether two matrices are approximately equal given a tolerance value.
Matrix 1.
Matrix 2.
The tolerance value used to test approximate equality.
if the two matrices are approximately equal; otherwise, .
Tests whether two specified matrices are equal.
The left-hand matrix.
The right-hand matrix.
if the two matrices are equal; otherwise, .
Tests whether two specified matrices are not equal.
The left-hand matrix.
The right-hand matrix.
if the two matrices are not equal; otherwise, .
Adds two matrices.
A instance.
A instance.
A new instance containing the sum.
Subtracts a matrix from a matrix.
A instance.
A instance.
A new instance containing the difference.
Multiplies two matrices.
A instance.
A instance.
A new instance containing the result.
Transforms a given vector by a matrix.
A instance.
A instance.
A new instance containing the result.
Transforms given point by a matrix.
A instance.
A instance.
A new instance containing the result.
Returns true if this matrix is equal to specified matrix.
Indexer allowing to access the matrix elements by an index
where index = 2 * row + column.
Indexer allowing to access the matrix elements by row and column.
Math utility methods.
Swap given values.
Swap given values.
Swap given values.
Returns whether values a and b are within of eachother.
Returns whether values a and b are within given tolerance of eachother.
Returns whether values a and b are within of eachother.
Returns whether values a and b are within given tolerance of eachother.
Compares the two specified doubles and returns a result based on which value is larger.
Useful for builing comparers for e.g. sorting.
Compares the two specified doubles and returns a result based on which value is larger.
Useful for builing comparers for e.g. sorting.
Normalizes the specified angle to be in the -π to π range (-π≤result≤π).
The normalized angle -π≤result≤π.
Normalizes the specified angle to be in the 0 to 2π range (0≤result≤2π).
The normalized angle 0≤result≤2π.
Gets the angle difference between the specified angle and the reference angle.
The input angles must be in the 0 to 2π range.
Use method to normalize an angle to the 0 to 2π range.
The resulting angle is in the 0 to 2π range.
The angle expected to be the 0 to 2π range.
The reference angle expected to be the 0 to 2π range.
Thrown when either or
is outside the valid 0 to 2π range.
Transformation2F is a Transformation factory class.
Builds a rotation matrix.
Angle of rotation, in radians.
A representing the rotation.
Builds a matrix that scales along the x-axis, and y-axis.
A structure containing two values that represent the scaling factors applied along the x-axis and y-axis.
A representing the scaling transformation.
Builds a matrix that scales along the x-axis, and y-axis.
Scaling factor that is applied along the x-axis.
Scaling factor that is applied along the y-axis.
A representing the scaling transformation.
Builds a matrix that scales along the x-axis and y-axis with given s factor.
Scaling factor that is applied along the x-axis and y-axis.
A representing the scaling transformation.
Calculate coordinate transformation
according to given x-axis and y-axis of the source coordinate system
(specified in target coordinate system).
No check is done to ensure that given axes are perpendicular to eachother.
Represents the the fill mode when filling paths.
Alternate.
Winding.
Represents a big rational struct.
Represents the number zero.
Represents the number one.
Represents minus one.
Represents the number two.
Represents minus two.
Represents the number three.
Represents minus three.
Represents a half.
Represents NaN (not a number).
Represents positive infinity.
Represents negative infinity.
Initializes a new instance of the struct.
Initializes a new instance of the struct.
Initializes a new instance of the struct.
Multiplies the specified two values.
Divides the specified two values.
Adds the specified two values.
Subtracts the specified two values.
Negates the value.
Returns true when specified values are equal.
Returns true when specified values are unequal.
Returns true when value a is greater than value b.
Returns true when value a is less than to value b.
Returns true when value a is greater than or equal to value b.
Returns true when value a is less than or equal to value b.
Converts a double value to a big rational.
Converts a big rational to a double value.
Divides this rational number by two.
Multiplies this rational number by two.
Squares this rational number.
Returns the absolute value of this rational number.
Returns a that represents this instance.
A that represents this instance.
Returns a that represents this instance.
A that represents this instance.
Compares this big rational with specified big rational by magnitude only (ignores the signs).
Gets the numerator.
Gets the denominator.
Gets a value indicating whether this instance is NaN (not a number).
Gets a value indicating whether this instance is negative.
Gets a value indicating whether this instance is positive (greater than zero).
Gets the sign.
-1 is negavive, 0 is zero, 1 is positive.
Gets a value indicating whether this instance is zero.
Represents a big integer struct.
Represents the number zero.
Represents the number one.
Represents minus one.
Represents the number two.
Represents minus two.
Represents the number three.
Represents minus three.
Represents NaN (not a number).
Returns the absolute value of this big integer.
Returns the sum of the specified two big integers.
Returns the product of the specified two big integers.
Returns the a divided by b.
Returns the difference between the specified two big integers.
Negates the value.
Returns this big integer shifted 1 bit to the left.
Returns this big integer shifted to the left by the specified number of bits.
Returns this big integer shifted 1 bit to the right.
Returns this big integer shifted to the right by the specified number of bits.
Returns the remainder of this big integer shifted to the right by the specified number of bits.
Shifts this big integer a number of digits to the left.
Shifts this big integer a number of digits to the right.
Gets the least siginificant one bit index.
Returns -1 if there was no one bit.
Calculates the greatest common divisor of two specified integers.
The result is zero or greater.
Uses a binary gcd algorithm.
Returns true when specified values are equal.
Returns true when specified values are unequal.
Returns true when value a is greater than value b.
Returns true when value a is less than to value b.
Returns true when value a is greater than or equal to value b.
Returns true when value a is less than or equal to value b.
Converts a big integer do a double value.
Determines whether the specified is equal to this instance.
The to compare with this instance.
true if the specified is equal to this instance; otherwise, false.
Returns a hash code for this instance.
A hash code for this instance, suitable for use in hashing algorithms and data structures like a hash table.
Gets the most significant one bit index inside the most significant digit.
Returns -1 if there was no one bit.
Gets the most significant one bit index inside the most significant digit.
Unsafe multiply (without NaN check).
Returns a * b, using a basic multiplication algorithm (O(n^2)).
The result may not be the same as either one of the inputs.
Returns a / b.
Uses the long division algorithm from Knuth.
Left shifts the specified digits.
To and from digits may point to the same array.
Left shifts the specified digits.
Right shifts the specified digits.
To and from digits may point to the same array.
Right shifts the specified digits.
Shifts the specified digits a number of digits to the right into the result digits.
Updates the length so any leading zeroes are removed from digits[0..length -1].
Performs an unsigned addition and returns the result.
Subtracts specified value from this big integer.
The subtraction is done unsigned, so the magnitude of
specified value must be equal to or smaller than this value.
Resizes the digits array to be at least the specified capacity.
Copies the big integer from specified big integer.
Clears this instance.
Compares the current object with another object of the same type.
An object to compare with this object.
A 32-bit signed integer that indicates the relative order of the objects being compared.
Compares this big integer with specified big integer by magnitude only (ignores the signs).
Gets a value indicating whether this instance is negative.
Gets a value indicating whether this instance is negative (greater than zero).
Gets the sign.
-1 is negavive, 0 is zero, 1 is positive.
Gets a value indicating whether this instance is zero.
Gets a value indicating whether this instance is NaN (not a number).
Gets whether this integer is even.
Gets whether this integer is odd.
A rotation interactor based on a .
The rotation circle color.
Initializes a new instance of the class.
The transformation provider.
Call this method when a mouse button is pressed.
Returns whether this interactor consumed the mouse event.
Call this method when the mouse moves.
Returns whether this interactor consumed the mouse event.
Call this method when a mouse button is released.
Returns whether this interactor consumed the mouse event.
Gets the rotation circle radius.
When the mouse down occurs outside this circle, the interactor rotates around the z-axis.
Inside the circle the interactor rotates around an axis in the xy plane, perpendicular to the
line segment between the mouse position and the window center.
Gets the hint to the user about what input the interactor is expecting next.
Represents a Windows Forms drawable for .
Initializes a new instance of the class.
Draws this drawable.
Gets the cursor. Returns null if the cursor should remain unchanged.
Represents a collection of standard encodings.
Gets the encoding for specified code page.
Get the code page of an encoding.
This is a wrapper to codepage access handling the pecularities of Silverlight incompatibilities.
The encoding.
The codepage, or 0 if it is not determinable.
See http://www.unicode.org/Public/MAPPINGS/VENDORS/MICSFT/WINDOWS/CP936.TXT.
Gets the default encoding (on Silverlight is returned).
Gets the ASCII encoding.
Gets the IBM437 encoding.
See http://www.unicode.org/Public/MAPPINGS/OBSOLETE/EASTASIA/KSC/JOHAB.TXT.
See http://www.unicode.org/Public/MAPPINGS/VENDORS/MICSFT/WINDOWS/CP949.TXT.
See http://www.unicode.org/Public/MAPPINGS/VENDORS/MICSFT/WINDOWS/CP950.TXT.
The CP932 encoding (MS's extensions to Shift JIS, see http://www.unicode.org/Public/MAPPINGS/VENDORS/MICSFT/WINDOWS/CP932.TXT).
The x-coordinate.
The y-coordinate.
The z-coordinate.
3F zero vector.
3F X-Axis vector.
3F Y-Axis vector.
3F Z-Axis vector.
Initializes this vector with given coordinates.
Initializes this vector with given 2D vector and z-coordinate.
Initializes this vector with given coordinates.
Initializes this vector with given coordinates.
Initializes this vector with coordinates from given source vector.
Initializes this vector with coordinates from given source point.
Adds given vectors.
Subtracts given vectors.
u - p.
Divides a vector by a scalar.
Multiplies a vector by a scalar.
Calculates the dot product of two vectors.
Calculates the cross product of two vectors.
Negates a vector.
Tests whether two vectors are approximately equal using default tolerance value.
Only use for vectors of magnitude 1.0.
if the two vectors are approximately equal; otherwise, .
Tests whether two vectors are approximately equal given a tolerance value.
Vector 1.
Vector 2.
The tolerance value used to test approximate equality.
if the two vectors are approximately equal; otherwise, .
Scale the vector so that its length is 1.
Returns the unit vector of the current vector.
Returns the length of the vector.
The length of the vector. (Sqrt(X*X + Y*Y + Z*Z))
Returns the squared length of the vector.
The squared length of the vector. (X*X + Y*Y + Z*Z)
Gets a direction vector from the specified angle in radians.
the angle in radians.
See .
See .
Returns a string representation of this object (format: "x, y, z").
To string conversion is done using the .
Parse given string (format: "x,y,z").
Parsing is done using the .
is thrown when the string could not be parsed.
Tests whether two specified vectors are equal.
Tests whether two specified vectors are not equal.
Negates the values of the vector.
Adds two vectors.
Subtracts a vector from a vector.
Multiplies a vector by a scalar.
Multiplies a vector by a scalar.
Divides a vector by a scalar.
Converts the vector to an array of float-precision floating point values.
Converts given 2D vector to a 3D vector as follows:
result = new Vector3F(v.X, v.Y, 0f);
Converts given 4D vector to a 3D vector as follows:
result = new Vector3F(v.X, v.Y, v.Z);
It's assumed that v.W is equal to zero, but this is not enforced.
Converts given 3D point to a 3D vector as follows:
result = new Vector3F(p.X, p.Y, p.Z);
Returns true if this vector is equal to specified vector.
Indexer.
Converts a to and from string representation.
Returns whether this converter can convert an object of the given type to the type of this converter, using the specified context.
Returns whether this converter can convert the object to the specified type, using the specified context.
Converts the given value object to the specified type, using the specified context and culture information.
Converts the given object to the type of this converter, using the specified context and culture information.
Failed parsing from string.
Returns whether this object supports a standard set of values that can be picked from a list.
true if should be called to find a common set of values the object supports; otherwise, false.
Returns a collection of standard values for the data type this type converter is designed for when provided with a format context.
A that holds a standard set of valid values, or a null reference (Nothing in Visual Basic) if the data type does not support a standard set of values.
Transformation3F is a Transformation factory class.
Builds a rotation matrix (same as ).
Angle of rotation, in radians.
A representing the rotation.
Builds a matrix that rotates around the x-axis.
Angle of rotation, in radians.
A representing the rotation.
Builds a matrix that rotates around the y-axis.
Angle of rotation, in radians.
A representing the rotation.
Builds a matrix that rotates around the z-axis.
Angle of rotation, in radians.
A representing the rotation.
Builds a matrix that scales along the x-axis, and y-axis.
A structure containing three values that represent the scaling factors applied along the x-axis, and y-axis.
A representing the scaling transformation.
Builds a matrix that scales along the x-axis, and y-axis.
Scaling factor that is applied along the x-axis.
Scaling factor that is applied along the y-axis.
A representing the scaling transformation.
Builds a matrix that scales along the x-axis, y-axis, and z-axis.
A structure containing three values that represent the scaling factors applied along the x-axis, y-axis, and z-axis.
A representing the scaling transformation.
Builds a matrix that scales along the x-axis, y-axis, and z-axis.
Scaling factor that is applied along the x-axis.
Scaling factor that is applied along the y-axis.
Scaling factor that is applied along the z-axis.
A representing the scaling transformation.
Builds a matrix that scales along the x-axis and y-axis with given s factor.
Scaling factor that is applied along the x-axis and y-axis.
A representing the scaling transformation.
Builds a matrix that scales along the x-axis, y-axis, and z-axis with given s factor.
Scaling factor that is applied along the x-axis, y-axis and z-axis.
A representing the scaling transformation.
Builds a translation matrix.
Offset on the x-axis.
Offset on the y-axis.
A representing the translation transformation.
Builds a translation matrix.
A structure containing three values that represent the offsets on the x-axis, y-axis, and z-axis.
A representing the translation transformation.
Calculate coordinate transformation
according to given x-axis of the source coordinate system
(specified in target coordinate system).
Calculate coordinate transformation
according to given x-axis and y-axis of the source coordinate system
(specified in target coordinate system).
No check is done to ensure that given axes are perpendicular to eachother.
Calculate coordinate transformation
according to given x-axis, y-axis and origin of the source coordinate system
(specified in target coordinate system).
No check is done to ensure that given axes are perpendicular to eachother.
Generate arbitrary (but not random) coordinate transformation
according to given z-axis of the source coordinate system
(specified in target coordinate system).
Calculate coordinate transformation
according to given x-axis and z-axis of the source coordinate system
(specified in target coordinate system).
No check is done to ensure that given x and z axis are perpendicular to eachother.
Calculate coordinate transformation
according to given x-axis, y-axis and z-axis of the source coordinate system
(specified in target coordinate system).
No check is done to ensure that given axes are perpendicular to eachother.
The x-coordinate.
The y-coordinate.
The z-coordinate.
The 3F zero point.
Initializes this point with given coordinates.
Initializes this point with given 2D point and z-coordinate.
Initializes this point with given coordinates.
Initializes this point with given coordinates.
Initializes this point with coordinates from given source point.
Initializes this point with coordinates from given source vector.
Adds vector to a point and returns the result.
p + p.
Subtracts vector from a point and returns the result.
p - p.
Returns the difference vector between given points.
a - b.
Tests whether two points are approximately equal using default tolerance value.
Only use for points of magnitude 1.0.
if the two points are approximately equal; otherwise, .
Tests whether two points are approximately equal given a tolerance value.
Point 1.
Point 2.
The tolerance value used to test approximate equality.
if the two points are approximately equal; otherwise, .
Gets the mid point of specified 2 points.
See .
See .
Returns a string representation of this object (format: "x, y, z").
To string conversion is done using the .
Parse given string (format: "x,y,z").
Parsing is done using the .
is thrown when the string could not be parsed.
Tests whether two specified points are equal.
Tests whether two specified points are not equal.
Adds a vector to a point.
Adds a vector to a point.
Subtracts a vector from a point.
Returns the difference vector between given points.
Converts the point to an array of single precision floating point values.
Converts given 2D point to a 3D point as follows:
result = new Point3F(p.X, p.Y, 0d);
Converts given 4F vector to a 3F point as follows:
result = new Point3F(p.X / p.W, p.Y / p.W, p.Z / p.W);
This conversion only works if p.W is unequal to zero.
(when equal to zero the vector represents a direction).
Converts given 3F vector to a 3F point.
Returns true if this point is equal to specified point.
Indexer.
Converts a to and from string representation.
Returns whether this converter can convert an object of the given type to the type of this converter, using the specified context.
Returns whether this converter can convert the object to the specified type, using the specified context.
Converts the given value object to the specified type, using the specified context and culture information.
Converts the given object to the type of this converter, using the specified context and culture information.
Failed parsing from string.
Returns whether this object supports a standard set of values that can be picked from a list.
true if should be called to find a common set of values the object supports; otherwise, false.
Returns a collection of standard values for the data type this type converter is designed for when provided with a format context.
A that holds a standard set of valid values, or a null reference (Nothing in Visual Basic) if the data type does not support a standard set of values.
3-dimensional float-precision single precision zero matrix.
3-dimensional float-precision single precision identity matrix.
Initializes a new instance of the structure with the specified values.
Initializes a new instance of the structure with the specified values.
An array containing the matrix values in row-major order.
Initializes a new instance of the structure with the specified values.
An array containing the matrix values in row-major order.
Initializes a new instance of the structure with the specified values.
A instance holding values for the first column.
A instance holding values for the second column.
A instance holding values for the third column.
Initializes a new instance of the class using a given matrix.
Adds two matrices.
Subtracts a matrix from a matrix.
result[row, column] = a[row, column] - b[row, column]
Multiplies two matrices.
Transposes a matrix.
A instance.
A new instance containing the transposed matrix.
Returns the hashcode for this instance.
A 32-bit signed integer hash code.
Returns a value indicating whether this instance is equal to
the specified object.
An object to compare to this instance.
if is a and has the same values as this instance; otherwise, .
Returns a string representation of this object.
A string representation of this object.
Transforms given vector by this matrix.
Transforms given point by this matrix.
Transforms a given vector by this matrix.
Transforms given point by this matrix.
Transforms given point by this matrix and returns a 2D point.
Calculates the determinant value of the matrix.
The determinant value of the matrix.
Calculates the adjoint of the matrix.
A instance containing the adjoint of the matrix.
Calculates the inverse of the matrix.
It is not always possible to invert a matrix, in which case you'll get a
matrix containing infinite values. See the method for
a method which indicates whether inversion was possible or not.
A instance containing the inverse of the matrix.
Calculates the inverse of the matrix.
set to true if the inversion was possible and false otherwise
A instance containing the inverse of the matrix.
Gets the transpose of this matrix.
Build a 2x2 matrix from from the current matrix without the given row and column.
The row to remove.
The column to remove.
A instance containing the result Minor.
Calculates the trace of the matrix which is the sum of its diagonal elements.
Returns the trace value of the matrix.
Transposes this matrix.
Tests whether two matrices are approximately equal using default tolerance value.
if the two matrices are approximately equal; otherwise, .
Tests whether two matrices are approximately equal given a tolerance value.
Matrix 1.
Matrix 2.
The tolerance value used to test approximate equality.
if the two matrices are approximately equal; otherwise, .
Tests whether two specified matrices are equal.
The left-hand matrix.
The right-hand matrix.
if the two matrices are equal; otherwise, .
Tests whether two specified matrices are not equal.
The left-hand matrix.
The right-hand matrix.
if the two matrices are not equal; otherwise, .
Adds two matrices.
A instance.
A instance.
A new instance containing the sum.
Subtracts a matrix from a matrix.
A instance.
A instance.
A new instance containing the difference.
Multiplies two matrices.
A instance.
A instance.
A new instance containing the result.
Transforms a given vector by a matrix.
A instance.
A instance.
A new instance containing the result.
Transforms given point by a matrix.
A instance.
A instance.
A new instance containing the result.
Returns true if this matrix is equal to specified matrix.
Indexer allowing to access the matrix elements by an index
where index = 3 * row + column.
Indexer allowing to access the matrix elements by row and column.
Constructor.
Constructor.
Constructor.
Constructor.
Constructor. Creates an open polyline.
Constructor. Creates an open polyline.
Constructor. Creates an open polyline.
Constructor. Creates an open polyline.
Constructor.
Gets or sets whether this polyline is closed.
Generic pair class.
This is a class often useful to keep together two instances of something.
type of first pair element
type of second pair element
Constructor.
first pair element
second pair element
Get the first element of the pair.
Get the second element of the pair.
Generic pair class.
This is a class often useful to keep together two instances of something.
type of pair element
Constructor.
first pair element
second pair element
Get the first element of the pair.
Get the second element of the pair.
Delegate that allows a class to change property attributes that
define a property's behaviour in
a .
Use this attribute on a property to set a property's
delegate.
Constructor.
Get the specified by the
on given target object.
Represents a collection of elements.
General interface for two-dimensional shapes which can be drawn.
Creates an iterator over this shape.
It is expected that the returned iterator represents a snapshot of the shape's
state as it is when the iterator is created via this property, i.e. changes
which are applied to the shape after the iterator is constructed are not expected to be
reflected by the iterator itself.
Add the bounds of this shape to the given bounds.
Bounds where to add this shape's bounds
Does this path contain any segments?
Initializes a new instance of the class.
Initializes a new instance of the class.
The capacity.
Initializes a new instance of the class.
The collection whose elements are copied to the new list.
is null.
Creates an iterator over this shape.
Add the bounds of this shape to the given bounds.
Bounds where to add this shape's bounds
Does this path contain any segments?
2D triangulator that can triangulate polygons with holes.
The polygons may not cross each other.
The algorithm used is a Constrained Delaunay triangulation.
Below is an example demonstrating triangulating a square polygon with a hole in it.
The hole is a smaller square.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Examples {
public class Triangulator2BRExample {
public static void Triangulate() {
List<Triangulator2BR.Triangle> resultingTriangles = new List<Triangulator2BR.Triangle>();
List<Point2BR> points = new List<Point2BR>();
// Cutout a small rectangle from a bigger rectangle.
Triangulator2BR.Triangulate(
new Point2BR[][] {
new Point2BR[] {
new Point2BR(-2d, -2d),
new Point2BR(2d, -2d),
new Point2BR(2d, 2d),
new Point2BR(-2d, 2d)
},
new Point2BR[] {
new Point2BR(-1d, -1d),
new Point2BR(1d, -1d),
new Point2BR(1d, 1d),
new Point2BR(-1d, 1d)
}
},
resultingTriangles,
points
);
// Show all resulting triangles.
foreach (Triangulator2BR.Triangle triangle in resultingTriangles) {
Console.WriteLine(
"({0}), ({1}), ({2})",
points[triangle.I0].ToString(),
points[triangle.I1].ToString(),
points[triangle.I2].ToString()
);
}
}
}
}
This is the output of the triangulation:
(-2, 2), (1, 1), (-1, 1)
(-1, -1), (-2, 2), (-1, 1)
(1, 1), (2, 2), (1, -1)
(-2, 2), (2, 2), (1, 1)
(2, -2), (-1, -1), (1, -1)
(2, 2), (2, -2), (1, -1)
(-1, -1), (-2, -2), (-2, 2)
(2, -2), (-2, -2), (-1, -1)
Triangulates given polygons and returns triangles and points.
Input. The polygons may not cross each other.
Output triangles, only contains the triangle point indices.
Output points, referred to by the point indices in the output triangles.
The polygons may not cross each other.
The algorithm used is a Constrained Delaunay triangulation.
Below is an example demonstrating triangulating a square polygon with a hole in it.
The hole is a smaller square.
This is the output of the triangulation:
(-2, 2), (1, 1), (-1, 1)
(-1, -1), (-2, 2), (-1, 1)
(1, 1), (2, 2), (1, -1)
(-2, 2), (2, 2), (1, 1)
(2, -2), (-1, -1), (1, -1)
(2, 2), (2, -2), (1, -1)
(-1, -1), (-2, -2), (-2, 2)
(2, -2), (-2, -2), (-1, -1)
Triangulates given point set and polylines.
The input points.
Represents polylines of fixed edges. May be empty or null.
Each integer is an index in the inputPoints.
The output triangles.
The polygons may not cross each other.
The algorithm used is a Constrained Delaunay triangulation.
This method may skip points that are very close together, in that case also the point index lists are modified.
Below is an example demonstrating triangulating five points resulting in three triangles.
The second triangulation is the same as the first one, but with one edge fixed (which forces more skinny triangles in this particular case).
This is the output of the first triangulation:
(2, 2), (-2, -2), (-2, 2)
(2, 2), (4, 0), (2, -2)
(2, -2), (-2, -2), (2, 2)
This is the output of the second triangulation:
(-2, -2), (4, 0), (2, -2)
(4, 0), (-2, -2), (2, 2)
(2, 2), (-2, -2), (-2, 2)
Triangulates given point set and polylines.
The input points.
Represents polylines of fixed edges. May be empty or null.
Each integer is an index in the inputPoints.
The output triangles.
if set to true removes super triangles when finished triangulating.
The polygons may not cross each other.
The algorithm used is a Constrained Delaunay triangulation.
This method may skip points that are very close together, in that case also the point index lists are modified.
Filter all outside triangles.
Assumes the 3 super triangle points are included in the specified points.
Filter all outside and odd regions.
Assumes the 3 super triangle points are included in the specified points.
Filter out all triangles except outer triangles remain.
Assumes the 3 super triangle points are included in the specified points.
Adds point to CDT.
Returns the point index of the point itself if added,
or if it is approximately equal to another point, it returns the index of that point instead, and the given
point is not added.
Adds point to CDT.
Returns the point index of the point itself if added,
or if it is approximately equal to another point, it returns the index of that point instead, and the given
point is not added.
Adds an edge.
Calculates the super triangle from given points
(adds three points to given point collection).
Triangulate pseudo polygon.
Note that the polygon created by
p0, p1 and polygonPoints is expected to be clockwise!
Swap edges.
Either removes 1 triangle from or adds 1 triangle to the sweep line triangles.
Vertices are ordered clock wise for quick inside triangle testing.
Triangle vertex indices.
Triangle vertex indices.
Triangle vertex indices.
Edges (edge 0 starts with vertex 0, ends at vertex 1, etc).
The fix count represents how many times an edge was fixed.
If 3 polygons share the same edge, then that shared edge was fixed 3 times.
Edges (edge 0 starts with vertex 0, ends at vertex 1, etc).
The fix count represents how many times an edge was fixed.
If 3 polygons share the same edge, then that shared edge was fixed 3 times.
Edges (edge 0 starts with vertex 0, ends at vertex 1, etc).
The fix count represents how many times an edge was fixed.
If 3 polygons share the same edge, then that shared edge was fixed 3 times.
Neighbour 0 is associated with edge 0, etc.
Neighbour 0 is associated with edge 0, etc.
Neighbour 0 is associated with edge 0, etc.
Constructor.
Constructor. Input triangle vertices must be ordered clockwise!
Constructor (makes the triangle vertices ordered clockwise).
Intialization. Input triangle vertices must be ordered clockwise!
Intialization. Input triangle vertices must be ordered clockwise!
Replace this triangle by 3 new triangles.
Replace this triangle by 3 new triangles.
Creates 2 triangles such of the new triangles 2 of the 3 edges remain at the same index.
The sweep triangle point always remains at index 0.
The 2 triangles are created in clockwise order along the divided edge.
Replace neighbour at edge with given start point with specified triangle.
Try to replace neighbour. Note that e0 and e1 must be in clockwise direction.
Gets opposite triangle.
Gets whether the opposite edge is fixed.
Returns whether point is in circle that goes
through all three points of this triangle.
Returns whether point is in circle through points a, b and c.
This is often called the inCircle test in literature.
Note that points a, b and c MUST be in clockwise order
(otherwise sign of the determinant changes).
Get the four points of the 2 opposing triangles.
Get next point with adjacent edge info.
Also makes the edge in the neighbour triangle fixed.
Make edge starting at given point fixed.
Check of 2 lines segments intersect (first segment is treated as ray (i.e. semi infinite from a point)).
Gets or sets the first point index.
Gets or sets the second point index.
Gets or sets the third point index.
Gets or sets the whether first edge is fixed (the edge starting with the first point).
Gets or sets the whether second edge is fixed (the edge starting with the second point).
Gets or sets the whether third edge is fixed (the edge starting with the third point).
Gets a value indicating whether edge 0 has an odd fix count,
i.e. if 3 then edge 0 was fixed 3 times, this could happen when
3 polylines run over this edge.
Depending on the definition of inside/outside, when odd, the edge is a transition from inside to outside,
when even, both sides are either inside/outside.
Gets a value indicating whether edge 1 has an odd fix count,
i.e. if 3 then edge 0 was fixed 3 times, this could happen when
3 polylines run over this edge.
Depending on the definition of inside/outside, when odd, the edge is a transition from inside to outside,
when even, both sides are either inside/outside.
Gets a value indicating whether edge 2 has an odd fix count,
i.e. if 3 then edge 0 was fixed 3 times, this could happen when
3 polylines run over this edge.
Depending on the definition of inside/outside, when odd, the edge is a transition from inside to outside,
when even, both sides are either inside/outside.
Gets or sets the filter status.
Contains a collection of utility methods.
Gets the greatest of the specified two values.
Gets the smallest of the specified two values.
Gets the greatest of the specified two values.
Gets the smallest of the specified two values.
Represents a bit converter interface.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Converts the specified bytes to a .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to a .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Represents a substitute for system-dependent color values
like System.Drawing.Color. It stores color
components as byte values.
Some constant values are found in .
Physiolocigal brightness value for red.
Physiolocigal brightness value for green. */
Physiolocigal brightness value for blue. */
The left shift of the so it masks the alpha color component.
The left shift of the so it masks the red color component.
The left shift of the so it masks the green color component.
The left shift of the so it masks the blue color component.
Mask for one component.
Mask for the alpha component.
Mask for the red component.
Mask for the green component.
Mask for the blue component.
Mask for the red, green and blue component.
The color value.
The empty color.
Initializes a new instance of the struct.
alpha value (from 0 to 255)
red value (from 0 to 255)
green value (from 0 to 255)
blue value (from 0 to 255)
Initializes a new instance of the struct.
red value (from 0 to 255)
green value (from 0 to 255)
blue value (from 0 to 255)
Initializes a new instance of the struct.
ARGB value
The bytes of the value are (from MSB to LSB) Alpha, Red, Green, Blue.
Initializes a new instance of the struct.
ARGB value
The bytes of the value are (from MSB to LSB) Alpha, Red, Green, Blue.
Determines whether the specified is equal to this instance.
The to compare with this instance.
true if the specified is equal to this instance; otherwise, false.
Returns a hash code for this instance.
A hash code for this instance, suitable for use in hashing algorithms and data structures like a hash table.
Return a string representation.
String representation.
2
Create a from specified color with a new alpha value.
The alpha value.
The base color.
Create a from an ARGB value.
The ARGB.
if set to true the ARGB value contains alpha blending, otherwise it's opawue.
Create an opaque from an ARGB value.
Red component value, between 0 and 255.
Green component value, between 0 and 255.
Blue component value, between 0 and 255.
Create a gray color
Brightness value, between 0 (black) and 255 (white).
Is the given color a bright color?
This calculates the physiological brightness of the color and checks whether it is brighter than medium grey.
It does not take care of the alpha value.
Color to test.
true if the color is brighter than medium grey, otherwise false.
Compares this and the other color.
The other color.
true if both are equal, otherwise false
Implicit cast to System.Drawing.Color.
argb color
System.Drawing.Color
Implicit cast from System.Drawing.Color.
System.Drawing color
ARGB color
Returns whether the two specified colors are equal.
Returns whether the two specified colors are unequal.
Gets or sets the alpha component.
Gets or sets the red component.
Gets or sets the Green component.
Gets or sets the blue component.
Gets or sets the alpha component.
Gets or sets the red component.
Gets or sets the Green component.
Gets or sets the blue component.
Gets or sets the argb value.
The bytes of the value are (from MSB to LSB) Alpha, Red, Green, Blue.
Gets or sets the argb value.
The bytes of the value are (from MSB to LSB) Alpha, Red, Green, Blue.
Gets or sets the Rgb value, assuming that Alpha is 255 .
The bytes of the value are (from MSB to LSB) unused, Red, Green, Blue.
Get the maximum RGB color component.
The maximum color component is the color component with the highest value.
The alpha value is ignored.
Get the minimum RGB color component.
The minimum color component is the color component with the lowest value.
The alpha value is ignored.
Type converter from ArgbColor to System.Drawing.Color and vice versa.
Returns whether this converter can convert an object of the given type to the type of this converter, using the specified context.
true if this converter can perform the conversion; otherwise, false.
An that provides a format context. A that represents the type you want to convert from.
Returns whether this converter can convert the object to the specified type, using the specified context.
true if this converter can perform the conversion; otherwise, false.
An that provides a format context. A that represents the type you want to convert to.
Converts the given object to the type of this converter, using the specified context and culture information.
An that represents the converted value.
An that provides a format context. The to use as the current culture. The to convert. The conversion cannot be performed.
Converts the given value object to the specified type, using the specified context and culture information.
An that represents the converted value.
An that provides a format context. A . If null is passed, the current culture is assumed. The to convert. The to convert the parameter to. The parameter is null. The conversion cannot be performed.
Returns whether this object supports a standard set of values that can be picked from a list, using the specified context.
true if should be called to find a common set of values the object supports; otherwise, false.
An that provides a format context.
Returns a collection of standard values for the data type this type converter is designed for when provided with a format context.
A that holds a standard set of valid values, or null if the data type does not support a standard set of values.
An that provides a format context that can be used to extract additional information about the environment from which this converter is invoked. This parameter or properties of this parameter can be null.
A text writer that writes to .
Use to write to.
The instance to use.
Closes the current writer and releases any system resources associated with the writer.
Clears all buffers for the current writer and causes any buffered data to be written to the underlying device.
Writes the text representation of a Boolean value to the text stream.
The Boolean to write.
The is closed.
An I/O error occurs.
Writes a character to the text stream.
The character to write to the text stream.
The is closed.
An I/O error occurs.
Writes a character array to the text stream.
The character array to write to the text stream.
The is closed.
An I/O error occurs.
Writes the text representation of a decimal value to the text stream.
The decimal value to write.
The is closed.
An I/O error occurs.
Writes the text representation of an 8-byte floating-point value to the text stream.
The 8-byte floating-point value to write.
The is closed.
An I/O error occurs.
Writes the text representation of a 4-byte floating-point value to the text stream.
The 4-byte floating-point value to write.
The is closed.
An I/O error occurs.
Writes the text representation of a 4-byte signed integer to the text stream.
The 4-byte signed integer to write.
The is closed.
An I/O error occurs.
Writes the text representation of an 8-byte signed integer to the text stream.
The 8-byte signed integer to write.
The is closed.
An I/O error occurs.
Writes the text representation of an object to the text stream by calling ToString on that object.
The object to write.
The is closed.
An I/O error occurs.
Writes a string to the text stream.
The string to write.
The is closed.
An I/O error occurs.
Writes the text representation of a 4-byte unsigned integer to the text stream.
The 4-byte unsigned integer to write.
The is closed.
An I/O error occurs.
Writes the text representation of an 8-byte unsigned integer to the text stream.
The 8-byte unsigned integer to write.
The is closed.
An I/O error occurs.
Writes out a formatted string, using the same semantics as .
The formatting string.
An object to write into the formatted string.
is null.
The is closed.
An I/O error occurs.
The format specification in format is invalid.-or- The number indicating an argument to be formatted is less than zero, or larger than or equal to the number of provided objects to be formatted.
Writes out a formatted string, using the same semantics as .
The formatting string.
The object array to write into the formatted string.
or is null.
The is closed.
An I/O error occurs.
The format specification in format is invalid.-or- The number indicating an argument to be formatted is less than zero, or larger than or equal to . Length.
Writes a subarray of characters to the text stream.
The character array to write data from.
Starting index in the buffer.
The number of characters to write.
The buffer length minus is less than .
The parameter is null.
or is negative.
The is closed.
An I/O error occurs.
Writes out a formatted string, using the same semantics as .
The formatting string.
An object to write into the formatted string.
An object to write into the formatted string.
is null.
The is closed.
An I/O error occurs.
The format specification in format is invalid.-or- The number indicating an argument to be formatted is less than zero, or larger than or equal to the number of provided objects to be formatted.
Writes out a formatted string, using the same semantics as .
The formatting string.
An object to write into the formatted string.
An object to write into the formatted string.
An object to write into the formatted string.
is null.
The is closed.
An I/O error occurs.
The format specification in format is invalid.-or- The number indicating an argument to be formatted is less than zero, or larger than or equal to the number of provided objects to be formatted.
Writes a line terminator to the text stream.
The is closed.
An I/O error occurs.
Writes the text representation of a Boolean followed by a line terminator to the text stream.
The Boolean to write.
The is closed.
An I/O error occurs.
Writes a character followed by a line terminator to the text stream.
The character to write to the text stream.
The is closed.
An I/O error occurs.
Writes an array of characters followed by a line terminator to the text stream.
The character array from which data is read.
The is closed.
An I/O error occurs.
Writes the text representation of a decimal value followed by a line terminator to the text stream.
The decimal value to write.
The is closed.
An I/O error occurs.
Writes the text representation of a 8-byte floating-point value followed by a line terminator to the text stream.
The 8-byte floating-point value to write.
The is closed.
An I/O error occurs.
Writes the text representation of a 4-byte floating-point value followed by a line terminator to the text stream.
The 4-byte floating-point value to write.
The is closed.
An I/O error occurs.
Writes the text representation of a 4-byte signed integer followed by a line terminator to the text stream.
The 4-byte signed integer to write.
The is closed.
An I/O error occurs.
Writes the text representation of an 8-byte signed integer followed by a line terminator to the text stream.
The 8-byte signed integer to write.
The is closed.
An I/O error occurs.
Writes the text representation of an object by calling ToString on this object, followed by a line terminator to the text stream.
The object to write. If is null, only the line termination characters are written.
The is closed.
An I/O error occurs.
Writes a string followed by a line terminator to the text stream.
The string to write. If is null, only the line termination characters are written.
The is closed.
An I/O error occurs.
Writes the text representation of a 4-byte unsigned integer followed by a line terminator to the text stream.
The 4-byte unsigned integer to write.
The is closed.
An I/O error occurs.
Writes the text representation of an 8-byte unsigned integer followed by a line terminator to the text stream.
The 8-byte unsigned integer to write.
The is closed.
An I/O error occurs.
Writes out a formatted string and a new line, using the same semantics as .
The formatted string.
The object to write into the formatted string.
is null.
The is closed.
An I/O error occurs.
The format specification in format is invalid.-or- The number indicating an argument to be formatted is less than zero, or larger than or equal to the number of provided objects to be formatted.
Writes out a formatted string and a new line, using the same semantics as .
The formatting string.
The object array to write into format string.
A string or object is passed in as null.
The is closed.
An I/O error occurs.
The format specification in format is invalid.-or- The number indicating an argument to be formatted is less than zero, or larger than or equal to arg.Length.
Writes a subarray of characters followed by a line terminator to the text stream.
The character array from which data is read.
The index into at which to begin reading.
The maximum number of characters to write.
The buffer length minus is less than .
The parameter is null.
or is negative.
The is closed.
An I/O error occurs.
Writes out a formatted string and a new line, using the same semantics as .
The formatting string.
The object to write into the format string.
The object to write into the format string.
is null.
The is closed.
An I/O error occurs.
The format specification in format is invalid.-or- The number indicating an argument to be formatted is less than zero, or larger than or equal to the number of provided objects to be formatted.
Writes out a formatted string and a new line, using the same semantics as .
The formatting string.
The object to write into the format string.
The object to write into the format string.
The object to write into the format string.
is null.
The is closed.
An I/O error occurs.
The format specification in format is invalid.-or- The number indicating an argument to be formatted is less than zero, or larger than or equal to the number of provided objects to be formatted.
When overridden in a derived class, returns the in which the output is written.
The Encoding in which the output is written.
Encoding with an explicit codepage for Silverlight.
No new functionality else.
A class for accessing WW's resource strings (in resource WW.Strings.resources).
Gets the string.
Gets the string.
Gets the resource manager for strings in the WW.Cad assembly.
The x-coordinate.
The y-coordinate.
The z-coordinate.
The w-coordinate.
4F zero vector.
4F X-Axis vector.
4F Y-Axis vector.
4F Z-Axis vector.
4F W-Axis vector.
Initializes this vector with given coordinates.
Initializes this vector with given coordinates.
Initializes this vector with given coordinates.
Initializes this vector with coordinates from given source vector.
Adds given vectors.
Subtracts given vectors.
u - p.
Divides a vector by a scalar.
Multiplies a vector by a scalar.
Calculates the dot product of two vectors.
Negates a vector.
Tests whether two vectors are approximately equal using default tolerance value.
if the two vectors are approximately equal; otherwise, .
Tests whether two vectors are approximately equal given a tolerance value.
The tolerance value used to test approximate equality.
Vector 1.
Vector 2.
if the two vectors are approximately equal; otherwise, .
Scale the vector so that its length is 1.
Returns the unit vector of the current vector.
Returns the length of the vector.
The length of the vector. (Sqrt(X*X + Y*Y + Z*Z + W*W))
Returns the squared length of the vector.
The squared length of the vector. (X*X + Y*Y + Z*Z + W*W)
See .
See .
Returns a string representation of this object (format: "x, y, z, w").
To string conversion is done using the .
Parse given string (format: "x,y,z,w").
Parsing is done using the .
is thrown when the string could not be parsed.
Tests whether two specified vectors are equal.
Tests whether two specified vectors are not equal.
Negates the values of the vector.
Adds two vectors.
Adds two vectors.
Subtracts a vector from a vector.
Subtracts a vector from a vector.
Multiplies a vector by a scalar.
Multiplies a vector by a scalar.
Divides a vector by a scalar.
Converts the vector to an array of float-precision floating point values.
Converts given 3D vector to a 4D vector as follows:
result = new Vector4F(p.X, p.Y, p.Z, 1d);
Returns true if this vector is equal to specified vector.
Indexer.
Converts a to and from string representation.
Returns whether this converter can convert an object of the given type to the type of this converter, using the specified context.
Returns whether this converter can convert the object to the specified type, using the specified context.
Converts the given value object to the specified type, using the specified context and culture information.
Converts the given object to the type of this converter, using the specified context and culture information.
Failed parsing from string.
Returns whether this object supports a standard set of values that can be picked from a list.
true if should be called to find a common set of values the object supports; otherwise, false.
Returns a collection of standard values for the data type this type converter is designed for when provided with a format context.
A that holds a standard set of valid values, or a null reference (Nothing in Visual Basic) if the data type does not support a standard set of values.
The x-coordinate.
The y-coordinate.
2D zero vector.
2D X-Axis vector.
2D Y-Axis vector.
Initializes this vector with given coordinates.
Initializes this vector with given coordinates.
Initializes this vector with given coordinates.
Initializes this vector with coordinates from given source vector.
Initializes this vector with coordinates from given source vector.
Adds given vectors.
Subtracts given vectors.
u - p.
Divides a vector by a scalar.
Multiplies a vector by a scalar.
Calculates the dot product of two vectors.
Calculate the cross product of two vectors.
first vector
second vector
cross product
Negates a vector.
Tests whether two vectors are approximately equal using default tolerance value.
Only use for vectors of magnitude 1.0.
if the two vectors are approximately equal; otherwise, .
Tests whether two vectors are approximately equal given a tolerance value.
Vector 1.
Vector 2.
The tolerance value used to test approximate equality.
if the two vectors are approximately equal; otherwise, .
Returns the angle in radians between given two vectors.
The returned value is in the range between -pi and pi.
Scale the vector so that its length is 1.
Returns the unit vector of the current vector.
Returns the length of the vector.
The length of the vector. (Sqrt(X*X + Y*Y ))
Returns the squared length of the vector.
The squared length of the vector. (X*X + Y*Y)
Gets a direction vector from the specified angle in radians.
the angle in radians.
Gets the angle in radians between this vector and the x-axis.
See .
See .
Returns a string representation of this object (format: "x, y").
To string conversion is done using the .
Parse given string (format: "x,y").
Parsing is done using the .
is thrown when the string could not be parsed.
Tests whether two specified vectors are equal.
Tests whether two specified vectors are not equal.
Negates the values of the vector.
Adds two vectors.
Subtracts a vector from a vector.
Multiplies a vector by a scalar.
Multiplies a vector by a scalar.
Divides a vector by a scalar.
Converts the vector to an array of double precision floating point values.
Converts given 2D point to a 2D vector.
Returns true if this vector is equal to specified vector.
Indexer.
Converts a to and from string representation.
Returns whether this converter can convert an object of the given type to the type of this converter, using the specified context.
Returns whether this converter can convert the object to the specified type, using the specified context.
Converts the given value object to the specified type, using the specified context and culture information.
Converts the given object to the type of this converter, using the specified context and culture information.
Failed parsing from string.
Returns whether this object supports a standard set of values that can be picked from a list.
true if should be called to find a common set of values the object supports; otherwise, false.
Returns a collection of standard values for the data type this type converter is designed for when provided with a format context.
A that holds a standard set of valid values, or a null reference (Nothing in Visual Basic) if the data type does not support a standard set of values.
Transformation4F is a Transformation factory class.
Builds a matrix that rotates around an arbitrary axis.
A instance specifying the axis to rotate around (vector has to be of unit length).
Angle of rotation, in radians. Angles are measured clockwise when looking along the rotation axis from the origin.
A representing the rotation.
Builds a matrix that rotates around the x-axis.
Angle of rotation, in radians.
A representing the rotation.
Builds a matrix that rotates around the y-axis.
Angle of rotation, in radians.
A representing the rotation.
Builds a matrix that rotates around the z-axis.
Angle of rotation, in radians.
A representing the rotation.
Builds a matrix that scales along the x-axis, y-axis, and z-axis.
A structure containing three values that represent the scaling factors applied along the x-axis, y-axis, and z-axis.
A representing the scaling transformation.
Builds a matrix that scales along the x-axis, y-axis, and z-axis, using specified origin.
A structure containing three values that represent the scaling factors applied along the x-axis, y-axis, and z-axis.
The origin around which is scaled.
This point remains unchanged after transformation using the result matrix.
A representing the scaling transformation.
Builds a matrix that scales along the x-axis, y-axis, and z-axis.
Scaling factor that is applied along the x-axis.
Scaling factor that is applied along the y-axis.
Scaling factor that is applied along the z-axis.
A representing the scaling transformation.
Builds a matrix that scales along the x-axis, y-axis, and z-axis with given s factor.
Scaling factor that is applied along the x-axis, y-axis and z-axis.
A representing the scaling transformation.
Builds a matrix that scales along the x-axis, y-axis, and z-axis with given s factor, using specified origin.
Scaling factor that is applied along the x-axis, y-axis and z-axis.
The origin around which is scaled.
This point remains unchanged after transformation using the result matrix.
A representing the scaling transformation.
Builds a translation matrix.
Offset on the x-axis.
Offset on the y-axis.
Offset on the z-axis.
A representing the translation transformation.
Builds a translation matrix.
A structure containing three values that represent the offsets on the x-axis, y-axis, and z-axis.
A representing the translation transformation.
Generate arbitrary (but not random) coordinate transformation
according to given z-axis of the source coordinate system
(specified in target coordinate system).
Calculate coordinate transformation
according to given x-axis and z-axis of the source coordinate system
(specified in target coordinate system).
No check is done to ensure that given x and z axis are perpendicular to eachother.
Calculate coordinate transformation
according to given x-axis, y-axis and z-axis of the source coordinate system
(specified in target coordinate system).
No check is done to ensure that given axes are perpendicular to eachother.
Calculate coordinate transformation
according to given x-axis, y-axis, z-axis and origin of the source coordinate system
(specified in target coordinate system).
No check is done to ensure that given axes are perpendicular to eachother.
Gets the perspective transform based on
given inverse tangents of the viewing frustrum angles and
front clip, back clip planes.
The returned perspective transform is setup such that it can be used directly in OpenGL
as the projection transform.
The camera is positioned at the origin, looking towards the negative z-axis.
The x-axis is pointing towards the right of the display, the y-axis points up.
This transformation matrix transforms coordinates within the viewing frustrum
to a cube with coordinate ranges (-1, 1), which is convenient for clipping.
The cotangent of mu where mu is the angle between the z-axis (pointing towards the camera) and the line
passing through the camera and the left side of the display.
The cotangent of nu where nu is the angle between the z-axis (pointing towards the camera) and the line
passing through the camera and the top side of the display.
The front clip plane z-value closest to the camera (> 0).
The back clip plane z-value furthest from the camera (> 0).
Gets the perspective projection transform based on given viewing frustrum dimensions.
The x-coordinate of the left of the viewing frustrum near face.
The x-coordinate of the right the viewing frustrum near face.
The y-coordinate of the bottom the viewing frustrum near face.
The y-coordinate of the top the viewing frustrum near face.
The front clip plane z-value closest to the camera (> 0).
The back clip plane z-value furthest from the camera (> 0).
The returned perspective transform is setup such that it can be used directly in OpenGL
as the projection transform.
The camera is positioned at the origin, looking towards the negative z-axis.
The x-axis is pointing towards the right of the display, the y-axis points up.
This transformation matrix transforms coordinates within the viewing frustrum
to a cube with coordinate ranges (-1, 1), which is convenient for clipping.
Gets the orthographic projection transform based on given viewing volume dimensions.
The x-coordinate of the left of the viewing volume.
The x-coordinate of the right the viewing volume.
The y-coordinate of the bottom the viewing volume.
The y-coordinate of the top the viewing volume.
The front clip plane z-value closest to the camera (> 0 if in front of camera).
The back clip plane z-value furthest from the camera (> 0 if in front of camera).
The returned orthographic transform is setup such that it can be used directly in OpenGL
as the projection transform.
The camera is positioned at the origin, looking towards the negative z-axis.
The x-axis is pointing towards the right of the display, the y-axis points up.
This transformation matrix transforms coordinates within the viewing volume
to a cube with coordinate ranges (-1, 1), which is convenient for clipping.
The x-coordinate.
The y-coordinate.
The 2D zero point.
Initializes this point with given coordinates.
Initializes this point with given coordinates.
Initializes this point with given coordinates.
Initializes this point with coordinates from given source point.
Initializes this point with coordinates from given source point.
Adds specified vector to a point and returns the result.
p + v.
Subtracts specified vector from a point and returns the result.
p - v.
Returns the difference point between given points.
a - b.
Tests whether two points are approximately equal using default tolerance value.
Only use for points of magnitude 1.0.
if the two points are approximately equal; otherwise, .
Tests whether two points are approximately equal given a tolerance value.
Point 1.
Point 2.
The tolerance value used to test approximate equality.
if the two points are approximately equal; otherwise, .
Gets the mid point of specified 2 points.
Creates an iterator over this shape.
Add the bounds of this shape to the given bounds.
Bounds where to add this shape's bounds
See .
See .
Returns a string representation of this object (format: "x, y").
To string conversion is done using the .
Parse given string (format: "x,y").
Parsing is done using the .
is thrown when the string could not be parsed.
Tests whether two specified points are equal.
Tests whether two specified points are not equal.
Adds a vector to a point.
Adds a vector to a point.
Subtracts a vector from a point.
Returns the difference vector between given points.
Converts the point to an array of double precision floating point values.
Converts given 3D point to a 2D point as follows:
result = new Point2D(p.X, p.Y);
Converts given 4D vector to a 2D point as follows:
result = new Point2D(p.X / p.W, p.Y / p.W);
This conversion only works if p.W is unequal to zero.
(when equal to zero the vector represents a direction).
Converts given 2D vector to a 2D point.
Convert 2D point to Windows Point.
point to convert
converted point
Convert 2D to Windows PointF.
point to convert
converted point
Convert 2D to Windows PointF.
point to convert
converted point
Convert Windows PointF to 2D.
point to convert
converted point
Returns true if this point is equal to specified point.
Does this path contain any segments?
Indexer.
Constructor.
point to iterate over
Move to the next segment.
Get the current segment.
Output of the points of the current segment, array must have at least capacity 3 at
Offset into the array to write the result to
Type of the current segment
Get the type of the current segment.
Type of the current segment
Get the total number of segments.
Return -1 if number is unknown.
Get the total number of points.
Return -1 if number is unknown.
Converts a to and from string representation.
Returns whether this converter can convert an object of the given type to the type of this converter, using the specified context.
Returns whether this converter can convert the object to the specified type, using the specified context.
Converts the given value object to the specified type, using the specified context and culture information.
Converts the given object to the type of this converter, using the specified context and culture information.
Failed parsing from string.
Returns whether this object supports a standard set of values that can be picked from a list.
true if should be called to find a common set of values the object supports; otherwise, false.
Returns a collection of standard values for the data type this type converter is designed for when provided with a format context.
A that holds a standard set of valid values, or a null reference (Nothing in Visual Basic) if the data type does not support a standard set of values.
4-dimensional float-precision zero matrix.
4-dimensional float-precision identity matrix.
Initializes a new instance of the structure with the specified values.
Initializes a new instance of the structure with the specified values.
An array containing the matrix values in row-major order.
Initializes a new instance of the structure with the specified values.
An array containing the matrix values in row-major order.
Initializes a new instance of the structure with the specified values.
A instance holding values for the first column.
A instance holding values for the second column.
A instance holding values for the third column.
A instance holding values for the fourth column.
Initializes a new instance of the class using a given matrix.
Adds two matrices.
Subtracts a matrix from a matrix.
result[row, column] = a[row, column] - b[row, column]
Multiplies two matrices.
Transposes a matrix.
A instance.
A new instance containing the transposed matrix.
Returns the hashcode for this instance.
A 32-bit signed integer hash code.
Returns a value indicating whether this instance is equal to
the specified object.
An object to compare to this instance.
if is a and has the same values as this instance; otherwise, .
Returns a string representation of this object.
A string representation of this object.
Transforms given vector by a matrix.
Transforms given vector by this matrix.
A instance.
A new instance containing the result.
Transforms given vector by this matrix.
A instance.
A new instance containing the result.
Transforms given vector by this matrix.
A instance.
A new instance containing the result.
Transforms given point by this matrix, also handling fourth row multiplication.
A instance.
A new instance containing the result.
Transforms given point by this matrix, also handling fourth row multiplication.
A instance.
A new instance containing the result.
Transforms given vector by this matrix.
A 3D point is equivalent to a 4D vector with W-coordinate equal to one.
A instance.
A new instance containing the result.
Transforms given vector by this matrix.
A instance.
A new instance containing the result.
Transforms given point by this matrix.
A instance.
A new instance containing the result.
Transforms given point by this matrix.
A instance.
A new instance containing the result.
Transforms given point by this matrix.
A instance.
A new instance containing the result.
Transforms given point by this matrix.
A instance.
A new instance containing the result.
Transforms given point by this matrix.
A instance.
A new instance containing the result.
Transforms given vector by this matrix.
A instance.
A new instance containing the result.
Calculates the determinant value of the matrix.
The determinant value of the matrix.
Calculates the adjoint of the matrix.
A instance containing the adjoint of the matrix.
Calculates the inverse of the matrix.
It is not always possible to invert a matrix, in which case you'll get a
matrix containing infinite values. See the method for
a method which indicates whether inversion was possible or not.
A instance containing the inverse of the matrix.
Calculates the inverse of the matrix.
set to true if the inversion was possible and false otherwise
A instance containing the inverse of the matrix.
Gets the transpose of this matrix.
Build a 3x3 matrix from from the current matrix without the given row and column.
The row to remove.
The column to remove.
A instance containing the result Minor.
Calculates the trace of the matrix which is the sum of its diagonal elements.
Returns the trace value of the matrix.
Transposes this matrix.
Tests whether two matrices are approximately equal using default tolerance value.
if the two matrices are approximately equal; otherwise, .
Tests whether two matrices are approximately equal given a tolerance value.
Matrix 1.
Matrix 2.
The tolerance value used to test approximate equality.
if the two matrices are approximately equal; otherwise, .
Tests whether two specified matrices are equal.
The left-hand matrix.
The right-hand matrix.
if the two matrices are equal; otherwise, .
Tests whether two specified matrices are not equal.
The left-hand matrix.
The right-hand matrix.
if the two matrices are not equal; otherwise, .
Adds two matrices.
A instance.
A instance.
A new instance containing the sum.
Subtracts a matrix from a matrix.
A instance.
A instance.
A new instance containing the difference.
Multiplies two matrices.
A instance.
A instance.
A new instance containing the result.
Transforms a given vector by a matrix.
A instance.
A instance.
A new instance containing the result.
Transforms given vector by a matrix.
A 3D vector is equivalent to a 4D vector with W-coordinate equal to zero.
A instance.
A instance.
A new instance containing the result.
Transforms given point by a matrix.
A 3D point is equivalent to a 4D vector with W-coordinate equal to one.
A instance.
A instance.
A new instance containing the result.
Returns true if this matrix is equal to specified matrix.
Indexer allowing to access the matrix elements by an index
where index = 4 * column + row.
Indexer allowing to access the matrix elements by row and column.
2-dimensional double precision zero matrix.
2-dimensional double precision identity matrix.
Initializes a new instance of the structure with the specified values.
Initializes a new instance of the structure with the specified values.
An array containing the matrix values in row-major order.
Initializes a new instance of the structure with the specified values.
An array containing the matrix values in row-major order.
Initializes a new instance of the structure with the specified values.
A instance holding values for the first column.
A instance holding values for the second column.
Initializes a new instance of the class using a given matrix.
Adds two matrices.
Subtracts a matrix from a matrix.
result[row, column] = a[row, column] - b[row, column]
Multiplies two matrices.
Transposes a matrix.
A instance.
A new instance containing the transposed matrix.
Returns the hashcode for this instance.
A 32-bit signed integer hash code.
Returns a value indicating whether this instance is equal to
the specified object.
An object to compare to this instance.
if is a and has the same values as this instance; otherwise, .
Returns a string representation of this object.
A string representation of this object.
Transforms given vector by this matrix.
Transforms given point by this matrix.
Calculates the determinant value of the matrix.
The determinant value of the matrix.
Calculates the inverse of the matrix.
It is not always possible to invert a matrix, in which case you'll get a
matrix containing infinite values. See the method for
a method which indicates whether inversion was possible or not.
A instance containing the inverse of the matrix.
Calculates the inverse of the matrix.
set to true if the inversion was possible and false otherwise
A instance containing the inverse of the matrix.
Calculates the adjoint of the matrix.
A instance containing the adjoint of the matrix.
Gets the transpose of this matrix.
Build a 1x1 matrix (double) from from the current matrix without the given row and column.
The row to remove.
The column to remove.
A double containing the result Minor.
Calculates the trace of the matrix which is the sum of its diagonal elements.
Returns the trace value of the matrix.
Transposes this matrix.
Convert to Drawing2D system matrix.
system matrix
Tests whether two matrices are approximately equal using default tolerance value.
if the two matrices are approximately equal; otherwise, .
Tests whether two matrices are approximately equal given a tolerance value.
Matrix 1.
Matrix 2.
The tolerance value used to test approximate equality.
if the two matrices are approximately equal; otherwise, .
Tests whether two specified matrices are equal.
The left-hand matrix.
The right-hand matrix.
if the two matrices are equal; otherwise, .
Tests whether two specified matrices are not equal.
The left-hand matrix.
The right-hand matrix.
if the two matrices are not equal; otherwise, .
Adds two matrices.
A instance.
A instance.
A new instance containing the sum.
Subtracts a matrix from a matrix.
A instance.
A instance.
A new instance containing the difference.
Multiplies two matrices.
A instance.
A instance.
A new instance containing the result.
Transforms given vector by a matrix.
A instance.
A instance.
A new instance containing the result.
Transforms given point by a matrix.
A instance.
A instance.
A new instance containing the result.
Returns true if this matrix is equal to specified matrix.
Indexer allowing to access the matrix elements by an index
where index = 2 * column + row.
Indexer allowing to access the matrix elements by row and column.
Transformation2D is a Transformation factory class.
Builds a rotation matrix.
Angle of rotation, in radians.
A representing the rotation.
Builds a matrix that scales along the x-axis, and y-axis.
A structure containing two values that represent the scaling factors applied along the x-axis and y-axis.
A representing the scaling transformation.
Builds a matrix that scales along the x-axis, and y-axis.
Scaling factor that is applied along the x-axis.
Scaling factor that is applied along the y-axis.
A representing the scaling transformation.
Builds a matrix that scales along the x-axis and y-axis with given s factor.
Scaling factor that is applied along the x-axis and y-axis.
A representing the scaling transformation.
Calculate coordinate transformation
according to given x-axis and y-axis of the source coordinate system
(specified in target coordinate system).
No check is done to ensure that given axes are perpendicular to eachother.
Represents an interface for polyline factories.
Creates a new polyline.
Creates a new polyline.
Creates a new polyline.
Creates a new polyline.
Creates an open polyline.
Creates an open polyline.
Creates an open polyline.
Creates an open polyline.
Creates a new polyline.
Interface for objects which clone themselves.
Implementing classes should make usefully independent copies.
Useful depends on intended usage, so sometimes a deep copy may be necessary,
and on other times not.
Interface for objects which clone themselves.
Implementing classes should make usefully independent copies.
Useful depends on intended usage, so sometimes a deep copy may be necessary,
and on other times not.
Initializes a new instance of the class.
The comparer used to sort the list.
Initializes a new instance of the class.
The sorting of the list is given by the natural order of the type.
Determines the index of a specific item in the .
The object to locate in the .
The index of if found in the list; otherwise, a negative value containing
the bitwise complement of the next element that is larter than the item, or otherwise the bitwise complement of .
This operation is not supported.
Insertion at an arbitry position is not allowed.
Removes the item at the specified index.
The zero-based index of the item to remove.
is not a valid index in the .
The is read-only.
Adds an item to the .
When adding an item with a duplicate key, it is added behind the last item with the same key.
The object to add to the .
The is read-only.
Removes all items from the .
The is read-only.
Copies the elements of the to an , starting at a particular index.
The one-dimensional that is the destination of the elements copied from . The must have zero-based indexing.
The zero-based index in at which copying begins.
is null.
is less than 0.
is multidimensional.
-or-
is equal to or greater than the length of .
-or-
The number of elements in the source is greater than the available space from to the end of the destination .
-or-
Type cannot be cast automatically to the type of the destination .
Removes the first occurrence of a specific object from the .
The object to remove from the .
true if was successfully removed from the ; otherwise, false. This method also returns false if is not found in the original .
The is read-only.
Returns an enumerator that iterates through the collection.
A that can be used to iterate through the collection.
Returns an enumerator that iterates through a collection.
An object that can be used to iterate through the collection.
Gets the at the specified index.
Setting is not supported.
The is read-only or caller is trying to set a value.
Gets the number of elements contained in the .
The number of elements contained in the .
Gets a value indicating whether the is read-only.
true if the is read-only; otherwise, false.
Represents a list with dictionary lookup by a key (doesn't have to be unique).
The method (and therefore also )
is not made faster by the dictionary lookup and therefore is still O(n).
Lookup by key is made faster by dictionary lookup.
Inserting duplicate keys becomes slow when there are many O(n * n), this
implementation assumes lookup is more common than insertion.
Initializes a new instance of the class.
Initializes a new instance of the class.
The key equality comparer.
Determines the index of a specific item in the list.
The object to locate in the list.
The index of if found in the list; otherwise, -1.
Inserts an item to the list at the specified index.
The zero-based index at which should be inserted.
The object to insert into the list.
is not a valid index in the list.
The list is read-only.
Removes the list item at the specified index.
The zero-based index of the item to remove.
is not a valid index in the list.
The list is read-only.
Adds an item to the list.
When adding an item with a duplicate key, it is added behind the last item with the same key.
The object to add to the list.
The list is read-only.
Removes all items from the list.
The list is read-only.
Determines whether the list contains a specific value.
The object to locate in the list.
true if is found in the list; otherwise, false.
Copies the elements of the list to an , starting at a particular index.
The one-dimensional that is the destination of the elements copied from list.
The must have zero-based indexing.
The zero-based index in at which copying begins.
is null.
is less than 0.
is multidimensional.
-or-
is equal to or greater than the length of .
-or-
The number of elements in the source list is greater than the available space from to the end of the destination .
-or-
Type TItem cannot be cast automatically to the type of the destination .
Removes the first occurrence of a specific object from the list.
The object to remove from the list.
true if was successfully removed from the list; otherwise, false. This method also returns false if is not found in the original list.
The list is read-only.
Returns an enumerator that iterates through the collection.
A that can be used to iterate through the collection.
Returns an enumerator that iterates through a collection.
An object that can be used to iterate through the collection.
Gets the first item with the specified key.
Returns default(TItem) if not found.
Determines whether this list contains the specified key.
Gets the key for specified item.
Gets the at the specified index.
The list is read-only or caller is trying to set a value.
Gets the number of elements contained in the list.
The number of elements contained in the list.
Gets a value indicating whether the list is read-only.
true if the list is read-only; otherwise, false.
Gets all items that match the specified key.
A collection of utitity methods pertaining to fonts.
Returns whether the specified font is bold.
Returns whether the specified font is italic.
Returns whether the specified font is underlined.
Returns whether the specified font is striked out.
Mouse button flags.
None.
The left mouse button.
The middle mouse button.
The right mouse button.
The first XButton.
The second XButton.
This interactor is a wrapper for easily binding a wrapped interactor to a mouse button.
This interactor wrapper checks if the mouse down flags match the specified ,
and if true then it activates the wrapped interactor and lets it process the mouse down event,
otherwise the method returns false.
A wrapper around another for the purpose
of modifying some of the behavior of the wrapped interactor like the mouse button bindings.
Initializes a new instance of the class.
Actives this interactor.
Deactives this interactor.
Call this method when a mouse button is pressed.
Returns whether this interactor consumed the mouse event.
Call this method when the mouse moves.
Returns whether this interactor consumed the mouse event.
Call this method when a mouse button is released.
Returns whether this interactor consumed the mouse event.
Call this method when the mouse wheel has rotated.
Returns whether this interactor consumed the mouse event.
Get the current state of this interactor for storage.
Complete internal state of this object, allowing to restore the current settings
when the state is restored with method.
Set the current state of this interactor from a previously stored state.
Interactor state as returned by
Reset the state to the default value.
Raises the event.
Raises the event.
Gets the wrappee.
This event is raised when the interactor is activated (see ).
An interactor may or may not process input events depending on whether the interactor is active (see the property).
E.g. imagine a line entity being selected, and its two control point boxes are shown that allow the user to drag them.
When the user isn't a dragging a control point, then the mouse move/mouse up events should be ignored by the interactor: the interactor is not active.
But when the user clicks a control point, then the interactor becomes active,
and the interactor starts processing the mouse move and mouse button up events.
When the mouse button up event is processed, the interactor is deactivated again.
This event is raised when the interactor is deactivated (see ).
An interactor may or may not process input events depending on whether the interactor is active (see the property).
E.g. imagine a line entity being selected, and its two control point boxes are shown that allow the user to drag them.
When the user isn't a dragging a control point, then the mouse move/mouse up events should be ignored by the interactor: the interactor is not active.
But when the user clicks a control point, then the interactor becomes active,
and the interactor starts processing the mouse move and mouse button up events.
When the mouse button up event is processed, the interactor is deactivated again.
Gets a value indicating whether this interactor is active.
Gets the hint to the user about what input the interactor is expecting next.
Initializes a new instance of the class.
Initializes a new instance of the class.
Call this method when a mouse button is pressed.
Returns whether this interactor consumed the mouse event.
Gets or sets the mouse down button flags.
The x-coordinate.
The y-coordinate.
The z-coordinate.
3D zero vector.
3D X-Axis vector.
3D Y-Axis vector.
3D Z-Axis vector.
Initializes this vector with given coordinates.
Initializes this vector with given 2D vector and z-coordinate.
Initializes this vector with given coordinates.
Initializes this vector with given coordinates.
Initializes this vector with coordinates from given source vector.
Initializes this vector with coordinates from given source point.
Adds given vectors.
Subtracts given vectors.
u - p.
Divides a vector by a scalar.
Multiplies a vector by a scalar.
Calculates the dot product of two vectors.
Calculates the cross product of two vectors.
Negates a vector.
Tests whether two vectors are approximately equal using default tolerance value.
Only use for vectors of magnitude 1.0.
if the two vectors are approximately equal; otherwise, .
Tests whether two vectors are approximately equal given a tolerance value.
Vector 1.
Vector 2.
The tolerance value used to test approximate equality.
if the two vectors are approximately equal; otherwise, .
Returns true if vectors are perpendicular.
Returns the vector between vector a and projection of a to direction of b.
Returns the angle in radians between given two vectors.
The returned value is in the range between -pi and pi.
Returns the angle in radians between given two vectors.
The returned value is in the range between -pi and pi.
Scale the vector so that its length is 1.
Returns the unit vector of the current vector.
Returns the length of the vector.
The length of the vector. (Sqrt(X*X + Y*Y + Z*Z))
Returns the squared length of the vector.
The squared length of the vector. (X*X + Y*Y + Z*Z)
Determines whether this vector contains a NaN coordinate.
Gets a direction vector from the specified angle in radians.
the angle in radians.
See .
See .
Returns a string representation of this object (format: "x, y, z").
To string conversion is done using the .
Parse given string (format: "x,y,z").
Parsing is done using the .
is thrown when the string could not be parsed.
Tests whether two specified vectors are equal.
Tests whether two specified vectors are not equal.
Negates the values of the vector.
Adds two vectors.
Subtracts a vector from a vector.
Multiplies a vector by a scalar.
Multiplies a vector by a scalar.
Divides a vector by a scalar.
Converts the vector to an array of double precision floating point values.
Converts given 2D vector to a 3D vector as follows:
result = new Vector3D(v.X, v.Y, 0d);
Converts given 4D vector to a 3D point as follows:
result = new Vector3D(p.X, p.Y, p.Z);
It's assumed that p.W is equal to zero, but this is not enforced.
Converts given 3D point to a 3D vector.
Converts given 3D double precision vector to a 3D single precision vector.
Returns true if this vector is equal to specified vector.
Indexer.
Converts a to and from string representation.
Returns whether this converter can convert an object of the given type to the type of this converter, using the specified context.
Returns whether this converter can convert the object to the specified type, using the specified context.
Converts the given value object to the specified type, using the specified context and culture information.
Converts the given object to the type of this converter, using the specified context and culture information.
Failed parsing from string.
Returns whether this object supports a standard set of values that can be picked from a list.
true if should be called to find a common set of values the object supports; otherwise, false.
Returns a collection of standard values for the data type this type converter is designed for when provided with a format context.
A that holds a standard set of valid values, or a null reference (Nothing in Visual Basic) if the data type does not support a standard set of values.
Transformation3D is a Transformation factory class.
Builds a rotation matrix (same as ).
Angle of rotation, in radians.
A representing the rotation.
Builds a matrix that rotates around the x-axis.
Angle of rotation, in radians.
A representing the rotation.
Builds a matrix that rotates around the y-axis.
Angle of rotation, in radians.
A representing the rotation.
Builds a matrix that rotates around the z-axis.
Angle of rotation, in radians.
A representing the rotation.
Builds a matrix that scales along the x-axis, and y-axis.
A structure containing two values that represent the scaling factors applied along the x-axis, y-axis, and z-axis.
A representing the scaling transformation.
Builds a matrix that scales along the x-axis, and y-axis.
Scaling factor that is applied along the x-axis.
Scaling factor that is applied along the y-axis.
A representing the scaling transformation.
Builds a matrix that scales along the x-axis, y-axis, and z-axis.
A structure containing three values that represent the scaling factors applied along the x-axis, y-axis, and z-axis.
A representing the scaling transformation.
Builds a matrix that scales along the x-axis, y-axis, and z-axis.
Scaling factor that is applied along the x-axis.
Scaling factor that is applied along the y-axis.
Scaling factor that is applied along the z-axis.
A representing the scaling transformation.
Builds a matrix that scales along the x-axis and y-axis with given s factor.
Scaling factor that is applied along the x-axis and y-axis.
A representing the scaling transformation.
Builds a matrix that scales along the x-axis, y-axis, and z-axis with given s factor.
Scaling factor that is applied along the x-axis, y-axis and z-axis.
A representing the scaling transformation.
Builds a translation matrix (to operate on objects).
Offset on the x-axis.
Offset on the y-axis.
A representing the translation transformation.
Builds a translation matrix (to operate on objects).
A structure containing two values that represent the offsets on the x-axis, and y-axis.
A representing the translation transformation.
Calculate coordinate transformation
according to given x-axis of the source coordinate system
(specified in target coordinate system).
Calculate coordinate transformation
according to given x-axis and y-axis of the source coordinate system
(specified in target coordinate system).
No check is done to ensure that given axes are perpendicular to eachother.
Calculate coordinate transformation
according to given x-axis, y-axis and origin of the source coordinate system
(specified in target coordinate system).
No check is done to ensure that given axes are perpendicular to eachother.
Generate arbitrary (but not random) coordinate transformation
according to given z-axis of the source coordinate system
(specified in target coordinate system).
Calculate coordinate transformation
according to given x-axis and z-axis of the source coordinate system
(specified in target coordinate system).
No check is done to ensure that given x and z axis are perpendicular to eachother.
Calculate coordinate transformation
according to given x-axis, y-axis and z-axis of the source coordinate system
(specified in target coordinate system).
No check is done to ensure that given axes are perpendicular to eachother.
The x-coordinate.
The y-coordinate.
The z-coordinate.
The 3D zero point.
Initializes this point with given coordinates.
Initializes this point with given 2D point and z-coordinate.
Initializes this point with given coordinates.
Initializes this point with given coordinates.
Initializes this point with coordinates from given source point.
Initializes this point with coordinates from given source vector.
Adds specified vector to a point and returns the result.
p + v.
Subtracts specified vector from a point and returns the result.
p - v.
Returns the difference vector between given points.
a - b.
Tests whether two points are approximately equal using default tolerance value.
Only use for points of magnitude 1.0.
if the two points are approximately equal; otherwise, .
Tests whether two points are approximately equal given a tolerance value.
Point 1.
Point 2.
The tolerance value used to test approximate equality.
if the two points are approximately equal; otherwise, .
Gets the mid point of specified 2 points.
Adds specified coordinates.
See .
See .
Returns a string representation of this object (format: "x, y, z").
To string conversion is done using the .
Parse given string (format: "x,y,z").
Parsing is done using the .
is thrown when the string could not be parsed.
Tests whether two specified points are equal.
Tests whether two specified points are not equal.
Adds a vector to a point.
Adds a vector to a point.
Subtracts a vector from a point.
Returns the difference vector between given points.
Converts the point to an array of double precision floating point values.
Converts given 2D point to a 3D point as follows:
result = new Point3D(p.X, p.Y, 0d);
Converts given 4D vector to a 3D point as follows:
result = new Point3D(p.X / p.W, p.Y / p.W, p.Z / p.W);
This conversion only works if p.W is unequal to zero.
(when equal to zero the vector represents a direction).
Converts given 3D vector to a 3D point.
Converts given 3D double-precision point to a 3D single-precision point.
Returns true if this point is equal to specified point.
Indexer.
Converts a to and from string representation.
Returns whether this converter can convert an object of the given type to the type of this converter, using the specified context.
Returns whether this converter can convert the object to the specified type, using the specified context.
Converts the given value object to the specified type, using the specified context and culture information.
Converts the given object to the type of this converter, using the specified context and culture information.
Failed parsing from string.
Returns whether this object supports a standard set of values that can be picked from a list.
true if should be called to find a common set of values the object supports; otherwise, false.
Returns a collection of standard values for the data type this type converter is designed for when provided with a format context.
A that holds a standard set of valid values, or a null reference (Nothing in Visual Basic) if the data type does not support a standard set of values.
3-dimensional double precision zero matrix.
3-dimensional double precision identity matrix.
Initializes a new instance of the structure with the specified values.
Initializes a new instance of the structure with the specified values.
An array containing the matrix values in row-major order.
Initializes a new instance of the structure with the specified values.
An array containing the matrix values in row-major order.
Initializes a new instance of the structure with the specified values.
A instance holding values for the first column.
A instance holding values for the second column.
A instance holding values for the third column.
Initializes a new instance of the class using a given matrix.
Adds two matrices.
Subtracts a matrix from a matrix.
result[row, column] = a[row, column] - b[row, column]
Multiplies two matrices.
Transposes a matrix.
A instance.
A new instance containing the transposed matrix.
Returns the hashcode for this instance.
A 32-bit signed integer hash code.
Returns a value indicating whether this instance is equal to
the specified object.
An object to compare to this instance.
if is a and has the same values as this instance; otherwise, .
Returns a string representation of this object.
A string representation of this object.
Transforms given vector by this matrix.
Transforms given point by this matrix.
Transforms given vector by this matrix.
Transforms given point by this matrix.
Transforms given point by this matrix and returns a 2D point.
Calculates the determinant value of the matrix.
The determinant value of the matrix.
Calculates the adjoint of the matrix.
A instance containing the adjoint of the matrix.
Calculates the inverse of the matrix.
It is not always possible to invert a matrix, in which case you'll get a
matrix containing infinite values. See the method for
a method which indicates whether inversion was possible or not.
A instance containing the inverse of the matrix.
Calculates the inverse of the matrix.
set to true if the inversion was possible and false otherwise
A instance containing the inverse of the matrix.
Gets the transpose of this matrix.
Build a 2x2 matrix from from the current matrix without the given row and column.
The row to remove.
The column to remove.
A instance containing the result Minor.
Calculates the trace of the matrix which is the sum of its diagonal elements.
Returns the trace value of the matrix.
Transposes this matrix.
Tests whether two matrices are approximately equal using default tolerance value.
if the two matrices are approximately equal; otherwise, .
Tests whether two matrices are approximately equal given a tolerance value.
Matrix 1.
Matrix 2.
The tolerance value used to test approximate equality.
if the two matrices are approximately equal; otherwise, .
Tests whether two specified matrices are equal.
The left-hand matrix.
The right-hand matrix.
if the two matrices are equal; otherwise, .
Tests whether two specified matrices are not equal.
The left-hand matrix.
The right-hand matrix.
if the two matrices are not equal; otherwise, .
Adds two matrices.
A instance.
A instance.
A new instance containing the sum.
Subtracts a matrix from a matrix.
A instance.
A instance.
A new instance containing the difference.
Multiplies two matrices.
A instance.
A instance.
A new instance containing the result.
Transforms given vector by a matrix.
A instance.
A instance.
A new instance containing the result.
Transforms given point by a matrix.
A instance.
A instance.
A new instance containing the result.
Returns true if this matrix is equal to specified matrix.
Indexer allowing to access the matrix elements by an index
where index = 3 * row + column.
Indexer allowing to access the matrix elements by row and column.
2D double precision circle.
A circle consists of a and a .
Constructor.
Constructor.
Gets the intersection point(s) with specified line.
The line.
Returns one of the three following possibilities:
-
null if there is no intersection.
-
An array with 1 element if the line is tangent to the circle.
-
An array with 2 elements if the line intersects the circle at two points.
Gets the intersection point(s) with specified line.
The line.
The precision.
Returns one of the three following possibilities:
-
null if there is no intersection.
-
An array with 1 element if the line is tangent to the circle.
-
An array with 2 elements if the line intersects the circle at two points.
Gets the intersection point(s) with specified circle and line.
The circle.
The line.
Returns one of the three following possibilities:
-
null if there is no intersection.
-
An array with 1 element if the line is tangent to the circle.
-
An array with 2 elements if the line intersects the circle at two points.
Gets the intersection point(s) with specified circle and line.
The circle.
The line.
The precision.
Returns one of the three following possibilities:
-
null if there is no intersection.
-
An array with 1 element if the line is tangent to the circle.
-
An array with 2 elements if the line intersects the circle at two points.
Gets the intersection point(s) with specified ray.
The ray.
if set to true the ray is tangent to the circle.
Returns one of the three following possibilities:
-
null if there is no intersection.
-
An array with 1 element if the ray is tangent to the circle.
-
An array with 2 element if the ray intersects the circle at two points.
Gets the intersection point(s) with specified ray.
The ray.
The precision.
if set to true the ray is tangent to the circle.
Returns one of the three following possibilities:
-
null if there is no intersection.
-
An array with 1 element if the ray is tangent to the circle.
-
An array with 2 element if the ray intersects the circle at two points.
Gets the intersection point(s) with specified line segment.
The line segment.
Returns one of the three following possibilities:
-
null if there is no intersection.
-
An array with 1 element if the line segment is tangent to the circle.
-
An array with 2 elements if the line segment intersects the circle at two points.
Gets the intersection point(s) with specified line segment.
The line segment.
The precision.
Returns one of the three following possibilities:
-
null if there is no intersection.
-
An array with 1 element if the line segment is tangent to the circle.
-
An array with 2 elements if the line segment intersects the circle at two points.
Gets the angle in radians of the line segment between this circle's center and the specified point.
Returns an angle, θ, measured in radians, such that -π≤θ≤π.
Gets the intersections between specified circles.
Circle 1.
Circle 2.
The intersections, one of the three following possibilities:
-
null if there is no intersection.
-
An array with 1 element if the circles touch.
-
An array with 2 elements if the circles intersect eachother at 2 points.
if set to true the two circle overlap completely.
Gets the intersections between specified circles.
Circle 1.
Circle 2.
The precision.
The intersections, one of the three following possibilities:
-
null if there is no intersection.
-
An array with 1 element if the circles touch.
-
An array with 2 elements if the circles intersect eachother at 2 points.
if set to true the two circle overlap completely.
Returns string representation.
Creates an iterator over this shape.
Add the bounds of this shape to the given bounds.
Bounds where to add this shape's bounds
Gets or sets the center.
Gets or sets the radius.
Does this path contain any segments?
Segment iterator.
Move to the next segment.
Get the current segment.
Output of the points of the current segment, array must have at least capacity 3 at
Offset into the array to write the result to
Type of the current segment
Get the type of the current segment.
Type of the current segment
Get the total number of segments.
Return -1 if number is unknown.
Get the total number of points.
Return -1 if number is unknown.
Property index that allows sorting of properties in a .
Indices do not have to be consecutive.
Initializes a new instance of the class.
Gets the index.
Enhances the to
be able to return customized values of , , etc.
All values are gotten from the
object passed to the constructor.
Constructor.
Evaluates a coordinate based on a power basis curve.
The coefficients, must have (at least) n + 1 elements.
The degree of the curve.
The curve parameter value.
Represents a paged memory stream that uses multiple byte array pages as an alternative for , which
uses one byte array as a backing store.
occasionally runs out of memory because it uses a single byte array, which
is harder to allocate than smaller byte array blocks.
The default block size is 65536 bytes (64 KB).
Initializes a new instance of the class using the .
The capacity in bytes.
Initializes a new instance of the class.
The capacity in bytes.
The page size in bytes.
Initializes a new instance of the class, cloning
the source chunked memory stream. The pages are shallow copied.
Initializes a new instance of the class.
The source stream to read from.
The length.
Initializes a new instance of the class.
Reuses the source memory stream buffer.
The source stream to read from.
The length.
When overridden in a derived class, clears all buffers for this stream and causes any buffered data to be written to the underlying device.
An I/O error occurs.
When overridden in a derived class, sets the position within the current stream.
A byte offset relative to the parameter.
A value of type indicating the reference point used to obtain the new position.
The new position within the current stream.
An I/O error occurs.
The stream does not support seeking, such as if the stream is constructed from a pipe or console output.
Methods were called after the stream was closed.
When overridden in a derived class, sets the length of the current stream.
The desired length of the current stream in bytes.
An I/O error occurs.
The stream does not support both writing and seeking, such as if the stream is constructed from a pipe or console output.
Methods were called after the stream was closed.
When overridden in a derived class, reads a sequence of bytes from the current stream and advances the position within the stream by the number of bytes read.
An array of bytes. When this method returns, the buffer contains the specified byte array with the values between and ( + - 1) replaced by the bytes read from the current source.
The zero-based byte offset in at which to begin storing the data read from the current stream.
The maximum number of bytes to be read from the current stream.
The total number of bytes read into the buffer. This can be less than the number of bytes requested if that many bytes are not currently available, or zero (0) if the end of the stream has been reached.
The sum of and is larger than the buffer length.
is null.
or is negative.
An I/O error occurs.
The stream does not support reading.
Methods were called after the stream was closed.
When overridden in a derived class, writes a sequence of bytes to the current stream and advances the current position within this stream by the number of bytes written.
An array of bytes. This method copies bytes from to the current stream.
The zero-based byte offset in at which to begin copying bytes to the current stream.
The number of bytes to be written to the current stream.
The sum of and is greater than the buffer length.
is null.
or is negative.
An I/O error occurs.
The stream does not support writing.
Methods were called after the stream was closed.
Reads a byte from the stream and advances the position within the stream by one byte, or returns -1 if at the end of the stream.
The unsigned byte cast to an Int32, or -1 if at the end of the stream.
The stream does not support reading.
Methods were called after the stream was closed.
Writes a byte to the current position in the stream and advances the position within the stream by one byte.
The byte to write to the stream.
An I/O error occurs.
The stream does not support writing, or the stream is already closed.
Methods were called after the stream was closed.
Writes the entire contents of this stream to the specified stream.
Writes length bytes from this stream from specifed offset to the specified stream.
Gets the page size.
When overridden in a derived class, gets a value indicating whether the current stream supports reading.
true if the stream supports reading; otherwise, false.
When overridden in a derived class, gets a value indicating whether the current stream supports seeking.
true if the stream supports seeking; otherwise, false.
When overridden in a derived class, gets a value indicating whether the current stream supports writing.
true if the stream supports writing; otherwise, false.
When overridden in a derived class, gets the length in bytes of the stream.
A long value representing the length of the stream in bytes.
A class derived from Stream does not support seeking.
Methods were called after the stream was closed.
When overridden in a derived class, gets or sets the position within the current stream.
The current position within the stream.
An I/O error occurs.
The stream does not support seeking.
Methods were called after the stream was closed.
Gets the pages.
A graphics helper.
Initializes a new instance of the class with the white color.
Initializes a new instance of the class.
Draws an edit handle at the specified position.
Performs application-defined tasks associated with freeing, releasing, or resetting unmanaged resources.
Gets or sets the default pen.
Gets or sets the highlight pen.
Gets or sets the dotted pen.
Gets or sets the default brush.
Gets or sets the default font.
Gets or sets the size of the edit handle.
The default value is 6.
Represents a zoom wheel interactor.
Interface for something which does scaling.
Gets or sets the scale factor.
Call this method when the mouse wheel has rotated.
Returns whether this interactor consumed the mouse event.
Get the current state of this interactor for storage.
Complete internal state of this object, allowing to restore the current settings
when the state is restored with method.
Set the current state of this interactor from a previously stored state.
Interactor state as returned by
Reset the state to the default value.
Raises the event.
Raises the event.
Gets or sets the scale factor.
Represents a pan interactor.
A translation of 1 in the x direction represents half the UI element width (x-axis pointing to the right).
A translation of 1 in the y direction represents half the UI element height (y-axis pointing up).
Interface for something which does 2D translating.
Gets or sets the translation.
A translation of 1 in the x direction represents half the UI element width (x-axis pointing to the right).
A translation of 1 in the y direction represents half the UI element height (y-axis pointing up).
Call this method when a mouse button is pressed.
Returns whether this interactor consumed the mouse event.
Call this method when the mouse moves.
Returns whether this interactor consumed the mouse event.
Call this method when a mouse button is released.
Returns whether this interactor consumed the mouse event.
Get the current state of this interactor for storage.
Complete internal state of this object, allowing to restore the current settings
when the state is restored with method.
Set the current state of this interactor from a previously stored state.
Interactor state as returned by
Reset the state to the default value.
Raises the event.
Occurs when the translation changed.
Gets or sets the translation.
A translation of 1 in the x direction represents half the UI element width (x-axis pointing to the right).
A translation of 1 in the y direction represents half the UI element height (y-axis pointing up).
Represents an interaction context.
Initializes a new instance of the class.
The world coordinate system to display coordinate system transform.
Size of the UI element.
Gets the world coordinate system to display coordinate system transform.
Gets the display coordinate system to world coordinate system transform.
Gets the size of the UI element.
Gets or sets the size of the edit handle.
The default value is 6.
This treeview fixes a bug in the Windows treeview when double clicking on a node with a checkbox.
See .
Overrides .
The Windows to process.
The x-coordinate.
The y-coordinate.
The z-coordinate.
The w-coordinate.
4D zero vector.
4D X-Axis vector.
4D Y-Axis vector.
4D Z-Axis vector.
4D W-Axis vector.
Initializes this vector with given coordinates.
Initializes this vector with given coordinates.
Initializes this vector with given coordinates.
Initialize this vector from any enumeratable.
enumeratable containing at least 4 doubles
Initializes this vector with coordinates from given source vector.
Adds given vectors.
Subtracts given vectors.
u - p.
Divides a vector by a scalar.
Multiplies a vector by a scalar.
Calculates the dot product of two vectors.
Negates a vector.
Tests whether two vectors are approximately equal using default tolerance value.
if the two vectors are approximately equal; otherwise, .
Tests whether two vectors are approximately equal given a tolerance value.
The tolerance value used to test approximate equality.
Vector 1.
Vector 2.
if the two vectors are approximately equal; otherwise, .
Scale the vector so that its length is 1.
Returns the unit vector of the current vector.
Returns the length of the vector.
The length of the vector. (Sqrt(X*X + Y*Y + Z*Z + W*W))
Returns the squared length of the vector.
The squared length of the vector. (X*X + Y*Y + Z*Z + W*W)
See .
See .
Returns a string representation of this object (format: "x, y, z, w").
To string conversion is done using the .
Parse given string (format: "x,y,z,w").
Parsing is done using the .
is thrown when the string could not be parsed.
Tests whether two specified vectors are equal.
Tests whether two specified vectors are not equal.
Negates the values of the vector.
Adds two vectors.
Adds two vectors.
Subtracts a vector from a vector.
Subtracts a vector from a vector.
Multiplies a vector by a scalar.
Multiplies a vector by a scalar.
Divides a vector by a scalar.
Converts the vector to an array of double precision floating point values.
Converts given 3D vector to a 4D vector as follows:
result = new Vector4D(p.X, p.Y, p.Z, 0d);
Converts given 3D point to a 4D vector as follows:
result = new Vector4D(p.X, p.Y, p.Z, 1d);
Converts the vector to a 2D point.
Converts the vector to a 3D point.
Converts this vector to a 2D point.
Converts this vector to a 3D point.
Returns true if this vector is equal to specified vector.
Indexer.
Converts a to and from string representation.
Returns whether this converter can convert an object of the given type to the type of this converter, using the specified context.
Returns whether this converter can convert the object to the specified type, using the specified context.
Converts the given value object to the specified type, using the specified context and culture information.
Converts the given object to the type of this converter, using the specified context and culture information.
Failed parsing from string.
Returns whether this object supports a standard set of values that can be picked from a list.
true if should be called to find a common set of values the object supports; otherwise, false.
Returns a collection of standard values for the data type this type converter is designed for when provided with a format context.
A that holds a standard set of valid values, or a null reference (Nothing in Visual Basic) if the data type does not support a standard set of values.
Transformation4D is a Transformation factory class.
performing an identity transformation.
Builds a matrix that rotates around an arbitrary axis.
A instance specifying the axis to rotate around (vector has to be of unit length).
Angle of rotation, in radians. Angles are measured clockwise when looking along the rotation axis from the origin.
A representing the rotation.
Builds a matrix that rotates around the x-axis.
Angle of rotation, in radians.
A representing the rotation.
Builds a matrix that rotates around the y-axis.
Angle of rotation, in radians.
A representing the rotation.
Builds a matrix that rotates around the z-axis.
Angle of rotation, in radians.
A representing the rotation.
Builds a matrix that scales along the x-axis, y-axis, and z-axis.
A structure containing three values that represent the scaling factors applied along the x-axis, y-axis, and z-axis.
A representing the scaling transformation.
Builds a matrix that scales along the x-axis, y-axis, and z-axis, using specified origin.
A structure containing three values that represent the scaling factors applied along the x-axis, y-axis, and z-axis.
The origin around which is scaled.
This point remains unchanged after transformation using the result matrix.
A representing the scaling transformation.
Builds a matrix that scales along the x-axis, y-axis, and z-axis.
Scaling factor that is applied along the x-axis.
Scaling factor that is applied along the y-axis.
Scaling factor that is applied along the z-axis.
A representing the scaling transformation.
Builds a matrix that scales along the x-axis, y-axis, and z-axis with given s factor.
Scaling factor that is applied along the x-axis, y-axis and z-axis.
A representing the scaling transformation.
Builds a matrix that scales along the x-axis, y-axis, and z-axis with given s factor, using specified origin.
Scaling factor that is applied along the x-axis, y-axis and z-axis.
The origin around which is scaled.
This point remains unchanged after transformation using the result matrix.
A representing the scaling transformation.
Builds a translation matrix.
Offset on the x-axis.
Offset on the y-axis.
Offset on the z-axis.
A representing the translation transformation.
Builds a translation matrix.
A structure containing three values that represent the offsets on the x-axis, y-axis, and z-axis.
A representing the translation transformation.
Generate arbitrary (but not random) coordinate transformation
according to given z-axis of the source coordinate system
(specified in target coordinate system).
Calculate coordinate transformation
according to given x-axis and z-axis of the source coordinate system
(specified in target coordinate system).
No check is done to ensure that given x and z axis are perpendicular to eachother.
Calculate coordinate transformation
according to given x-axis, y-axis and z-axis of the source coordinate system
(specified in target coordinate system).
No check is done to ensure that given axes are perpendicular to eachother.
Calculate coordinate transformation
according to given x-axis, y-axis, z-axis and origin of the source coordinate system
(specified in target coordinate system).
No check is done to ensure that given axes are perpendicular to eachother.
Gets the perspective transform based on
given inverse tangents of the viewing frustrum angles and
front clip, back clip planes.
The returned perspective transform is setup such that it can be used directly in OpenGL
as the projection transform.
The camera is positioned at the origin, looking towards the negative z-axis.
The x-axis is pointing towards the right of the display, the y-axis points up.
This transformation matrix transforms coordinates within the viewing frustrum
to a cube with coordinate ranges (-1, 1), which is convenient for clipping.
The cotangent of mu where mu is the angle between the z-axis (pointing towards the camera) and the line
passing through the camera and the left side of the display.
The cotangent of nu where nu is the angle between the z-axis (pointing towards the camera) and the line
passing through the camera and the top side of the display.
The front clip plane z-value closest to the camera (> 0).
The back clip plane z-value furthest from the camera (> 0).
Gets the perspective projection transform based on given viewing frustrum dimensions.
The x-coordinate of the left of the viewing frustrum near face.
The x-coordinate of the right the viewing frustrum near face.
The y-coordinate of the bottom the viewing frustrum near face.
The y-coordinate of the top the viewing frustrum near face.
The front clip plane z-value closest to the camera (> 0).
The back clip plane z-value furthest from the camera (> 0).
The returned perspective transform is setup such that it can be used directly in OpenGL
as the projection transform.
The camera is positioned at the origin, looking towards the negative z-axis.
The x-axis is pointing towards the right of the display, the y-axis points up.
This transformation matrix transforms coordinates within the viewing frustrum
to a cube with coordinate ranges (-1, 1), which is convenient for clipping.
Gets the orthographic projection transform based on given viewing volume dimensions.
The x-coordinate of the left of the viewing volume.
The x-coordinate of the right the viewing volume.
The y-coordinate of the bottom the viewing volume.
The y-coordinate of the top the viewing volume.
The front clip plane z-value closest to the camera (> 0 if in front of camera).
The back clip plane z-value furthest from the camera (> 0 if in front of camera).
The returned orthographic transform is setup such that it can be used directly in OpenGL
as the projection transform.
The camera is positioned at the origin, looking towards the negative z-axis.
The x-axis is pointing towards the right of the display, the y-axis points up.
This transformation matrix transforms coordinates within the viewing volume
to a cube with coordinate ranges (-1, 1), which is convenient for clipping.
Gets the scale and translate transform from source to target rectangle.
From point 1.
From point 2.
To point 1.
To point 2.
Constructs a Matrix4D to fit the from bounding box to the target bounding box.
Useful to fit an object to a viewport.
corner of source viewport
opposite corner of source viewport
reference point of source viewport
corner of target viewport corresponding to
corner of target viewport corresponding to
Reference point of target viewport. The calculated transformation is always mapping
to .
uniform scaling mapping transformation
Constructs a Matrix4D to fit the from bounding box to the target bounding box.
Useful to fit an object to a viewport.
corner of source viewport
opposite corner of source viewport
reference point of source viewport
corner of target viewport corresponding to
corner of target viewport corresponding to
Reference point of target viewport. The calculated transformation is always mapping
to .
output of the calculated source-to-target scaling
uniform scaling mapping transformation
Gets the bounds to screen transform.
This maps a model rectangle to a screen rectangle by applying an uniform scaling
so that the source rectangle defined by its minimum and maximum coordinates
fits into a screen (or image) rectangle with coordinate (0,0) in its upper left corner
and defined by its width and height. The different orientation of the y axis in model
and screen coordinates is taken care of. The model rectangle will always fit completely
into the screen rectangle, but if the aspect ratios of both rectangles differ, a bit more
of the model is mapped either at top and bottom or at the left and right side. The mapping
is always done in a way that the model rectangles center will be mapped to the screen
rectangles center.
The bounding box which shall be mapped.
Z coordinate values will be ignored.
The screen/image width.
The screen/image height.
Orthogonal transformation which maps model X and Y coordinates to screen X and Y coordinates,
or if is not initialized.
Gets the bounds to screen transform.
This maps a model rectangle to a screen rectangle by applying an uniform scaling
so that the source rectangle defined by its minimum and maximum coordinates
fits into a screen (or image) rectangle with coordinate (0,0) in its upper left corner
and defined by its width and height. The different orientation of the y axis in model
and screen coordinates is taken care of. The model rectangle will always fit completely
into the screen rectangle, but if the aspect ratios of both rectangles differ, a bit more
of the model is mapped either at top and bottom or at the left and right side. The mapping
is always done in a way that the model rectangles center will be mapped to the screen
rectangles center.
The bounding box which shall be mapped.
Z coordinate values will be ignored.
The screen/image width.
The screen/image height.
The additional margin to be left around the screen rectangle.
Making this larger than half of the minimum of and
will lead to unexpected results.
Orthogonal transformation which maps model X and Y coordinates to screen X and Y coordinates,
or if is not initialized.
Gets the bounds to screen transform.
This maps a model rectangle to a screen rectangle by applying an uniform scaling
so that the source rectangle defined by its minimum and maximum coordinates
fits into a screen (or image) rectangle with coordinate (0,0) in its upper left corner
and defined by its width and height. The different orientation of the y axis in model
and screen coordinates is taken care of. The model rectangle will always fit completely
into the screen rectangle, but if the aspect ratios of both rectangles differ, a bit more
of the model is mapped either at top and bottom or at the left and right side. The mapping
is always done in a way that the model rectangles center will be mapped to the screen
rectangles center.
The bounding box which shall be mapped.
The screen/image width.
The screen/image height.
Orthogonal transformation which maps model X and Y coordinates to screen X and Y coordinates,
or if is not initialized.
Gets the bounds to screen transform.
This maps a model rectangle to a screen rectangle by applying an uniform scaling
so that the source rectangle defined by its minimum and maximum coordinates
fits into a screen (or image) rectangle with coordinate (0,0) in its upper left corner
and defined by its width and height. The different orientation of the y axis in model
and screen coordinates is taken care of. The model rectangle will always fit completely
into the screen rectangle, but if the aspect ratios of both rectangles differ, a bit more
of the model is mapped either at top and bottom or at the left and right side. The mapping
is always done in a way that the model rectangles center will be mapped to the screen
rectangles center.
The bounding box which shall be mapped.
The screen/image width.
The screen/image height.
The additional margin to be left around the screen rectangle.
Making this larger than half of the minimum of and
will lead to unexpected results.
Orthogonal transformation which maps model X and Y coordinates to screen X and Y coordinates,
or if is not initialized.
Gets the bounds to screen transform.
This maps a model rectangle to a screen rectangle by applying an uniform scaling
so that the source rectangle defined by its minimum and maximum coordinates
fits into a screen (or image) rectangle with coordinate (0,0) in its upper left corner
and defined by its width and height. The different orientation of the y axis in model
and screen coordinates is taken care of. The model rectangle will always fit completely
into the screen rectangle, but if the aspect ratios of both rectangles differ, a bit more
of the model is mapped either at top and bottom or at the left and right side. The mapping
is always done in a way that the model rectangles center will be mapped to the screen
rectangles center.
The minimal corner of the model which should be visible.
The z coordinate will be ignored.
The maximal corner of the model which should be visible.
The z coordinate will be ignored.
The screen/image width.
The screen/image height.
Orthogonal transformation which maps model X and Y coordinates to screen X and Y coordinates.
Gets the bounds to screen transform.
This maps a model rectangle to a screen rectangle by applying an uniform scaling
so that the source rectangle defined by its minimum and maximum coordinates
fits into a screen (or image) rectangle with coordinate (0,0) in its upper left corner
and defined by its width and height. The different orientation of the y axis in model
and screen coordinates is taken care of. The model rectangle will always fit completely
into the screen rectangle, but if the aspect ratios of both rectangles differ, a bit more
of the model is mapped either at top and bottom or at the left and right side. The mapping
is always done in a way that the model rectangles center will be mapped to the screen
rectangles center.
The minimal corner of the model which should be visible.
The z coordinate will be ignored.
The maximal corner of the model which should be visible.
The z coordinate will be ignored.
The screen/image width.
The screen/image height.
The additional margin to be left around the screen rectangle.
Making this larger than half of the minimum of and
will lead to unexpected results.
Orthogonal transformation which maps model X and Y coordinates to screen X and Y coordinates.
Gets the bounds to screen transform.
This maps a model rectangle to a screen rectangle by applying an uniform scaling
so that the source rectangle defined by its minimum and maximum coordinates
fits into a screen (or image) rectangle with coordinate (0,0) in its upper left corner
and defined by its width and height. The different orientation of the y axis in model
and screen coordinates is taken care of. The model rectangle will always fit completely
into the screen rectangle, but if the aspect ratios of both rectangles differ, a bit more
of the model is mapped either at top and bottom or at the left and right side. The mapping
is always done in a way that the model rectangles center will be mapped to the screen
rectangles center.
The minimal corner of the model which should be visible.
The maximal corner of the model which should be visible.
The screen/image width.
The screen/image height.
Gets the bounds to screen transform.
This maps a model rectangle to a screen rectangle by applying an uniform scaling
so that the source rectangle defined by its minimum and maximum coordinates
fits into a screen (or image) rectangle with coordinate (0,0) in its upper left corner
and defined by its width and height. The different orientation of the y axis in model
and screen coordinates is taken care of. The model rectangle will always fit completely
into the screen rectangle, but if the aspect ratios of both rectangles differ, a bit more
of the model is mapped either at top and bottom or at the left and right side. The mapping
is always done in a way that the model rectangles center will be mapped to the screen
rectangles center.
The minimal corner of the model which should be visible.
The maximal corner of the model which should be visible.
The screen/image width.
The screen/image height.
The additional margin to be left around the screen rectangle.
Making this larger than half of the minimum of and
will lead to unexpected results.
Orthogonal transformation which maps model X and Y coordinates to screen X and Y coordinates.
Gets the bounds to screen transform.
This maps a model rectangle to a screen rectangle by applying an uniform scaling
so that the source rectangle defined by its minimum and maximum coordinates
fits into a screen (or image) rectangle with coordinate (0,0) in its upper left corner
and defined by its width and height. The different orientation of the y axis in model
and screen coordinates is taken care of. The model rectangle will always fit completely
into the screen rectangle, but if the aspect ratios of both rectangles differ, a bit more
of the model is mapped either at top and bottom or at the left and right side. The mapping
is always done in a way that the model rectangles center will be mapped to the screen
rectangles center.
The minimal X coordinate of the model which should be visible.
The minimal Y coordinate of the model which should be visible.
The maximal X coordinate of the model which should be visible.
The maximal Y coordinate of the model which should be visible.
The screen/image width.
The screen/image height.
Orthogonal transformation which maps model X and Y coordinates to screen X and Y coordinates.
Gets the bounds to screen transform.
This maps a model rectangle to a screen rectangle by applying an uniform scaling
so that the source rectangle defined by its minimum and maximum coordinates
fits into a screen (or image) rectangle with coordinate (0,0) in its upper left corner
and defined by its width and height. The different orientation of the y axis in model
and screen coordinates is taken care of. The model rectangle will always fit completely
into the screen rectangle, but if the aspect ratios of both rectangles differ, a bit more
of the model is mapped either at top and bottom or at the left and right side. The mapping
is always done in a way that the model rectangles center will be mapped to the screen
rectangles center.
The minimal X coordinate of the model which should be visible.
The minimal Y coordinate of the model which should be visible.
The maximal X coordinate of the model which should be visible.
The maximal Y coordinate of the model which should be visible.
The screen/image width.
The screen/image height.
The additional margin to be left around the screen rectangle.
Making this larger than half of the minimum of and
will lead to unexpected results.
Orthogonal transformation which maps model X and Y coordinates to screen X and Y coordinates.
Is the transformation sane?
This checks whether the transformation contains invalid components like NaN or infinity.
Transformation to check.
true if transformation is sane, false otherwise.
Helper class for providing an identity transform.
Represents an interface for transforming 4D vectors.
Transforms the given 4D vector to a 4D vector.
Transforms the given 4D vector to a 2D point.
Transforms the given 4D vector to a 3D point.
Transforms the given 2D point to a 4D vector.
Transforms the given 4D vector to a 4D vector.
Transforms the given 4D vector to a 2D point.
Transforms the given 4D vector to a 3D point.
Transforms the given 2D point to a 4D vector.
The size measured on the x-axis.
The size measured on the y-axis.
The zero size.
Constructor.
See .
See .
Returns a string representation of this object (format: "x, y").
To string conversion is done using the .
Parse given string (format: "x,y").
Parsing is done using the .
is thrown when the string could not be parsed.
Returns true if this size is equal to specified size.
Tests whether two specified sizes are equal.
Tests whether two specified sizes are not equal.
Converts a to and from string representation.
Returns whether this converter can convert an object of the given type to the type of this converter, using the specified context.
Returns whether this converter can convert the object to the specified type, using the specified context.
Converts the given value object to the specified type, using the specified context and culture information.
Converts the given object to the type of this converter, using the specified context and culture information.
Failed parsing from string.
Returns whether this object supports a standard set of values that can be picked from a list.
true if should be called to find a common set of values the object supports; otherwise, false.
Returns a collection of standard values for the data type this type converter is designed for when provided with a format context.
A that holds a standard set of valid values, or a null reference (Nothing in Visual Basic) if the data type does not support a standard set of values.
The matrix elements.
The matrix elements.
The matrix elements.
The matrix elements.
The matrix elements.
The matrix elements.
The matrix elements.
The matrix elements.
The matrix elements.
The matrix elements.
The matrix elements.
The matrix elements.
The matrix elements.
The matrix elements.
The matrix elements.
The matrix elements.
4-dimensional double precision zero matrix.
4-dimensional double precision identity matrix.
Initializes a new instance of the structure with the specified values.
Initializes a new instance of the structure with the specified values.
An array containing the matrix values in row-major order.
Initializes a new instance of the structure with the specified values.
An array containing the matrix values in row-major order.
Initializes a new instance of the structure with the specified values.
A instance holding values for the first column.
A instance holding values for the second column.
A instance holding values for the third column.
A instance holding values for the fourth column.
Initializes a new instance of the class using a given matrix.
Adds two matrices.
Subtracts a matrix from a matrix.
result[row, column] = a[row, column] - b[row, column]
Multiplies two matrices.
Multiplies two matrices.
The 2D matrix is interpreted as a 4D matrix with all elements
outside the 2D matrix having value zero, except M22 and M33 of value 1.
Transposes a matrix.
A instance.
A new instance containing the transposed matrix.
Returns the hashcode for this instance.
A 32-bit signed integer hash code.
Returns a value indicating whether this instance is equal to
the specified object.
An object to compare to this instance.
if is a and has the same values as this instance; otherwise, .
Returns a string representation of this object.
A string representation of this object.
Transforms given vector by a matrix.
Transforms given vector by this matrix.
A instance.
A new instance containing the result.
Transforms given vector by this matrix.
A instance.
A new instance containing the result.
Transforms given vector by this matrix.
A instance.
A new instance containing the result.
Transforms given point by this matrix, also handling fourth row multiplication.
A instance.
A new instance containing the result.
Transforms given point by this matrix, but not handling fourth row multiplication.
A instance.
A new instance containing the result.
Transforms given point by this matrix, also handling fourth row multiplication.
A 2D point is equivalent to a 3D point with Z-coordinate equal to one.
A instance.
A new instance containing the result.
Transforms given point by this matrix, also handling fourth row multiplication.
A 3D point is equivalent to a 4D vector with W-coordinate equal to one.
A instance.
A new instance containing the result.
Transforms given point by this matrix, but without handling fourth row multiplication.
A instance.
A new instance containing the result.
Transforms given vector by this matrix, also handling fourth row multiplication.
A instance.
A new instance containing the result.
Transforms given vector by this matrix.
A 3D point is equivalent to a 4D vector with W-coordinate equal to one.
A instance.
A new instance containing the result.
Transforms given vector by this matrix.
A instance.
A new instance containing the result.
Transforms given vector by this matrix.
A instance.
A new instance containing the result.
Transforms given point by this matrix.
A instance.
A new instance containing the result.
Transforms given point by this matrix.
A instance.
A new instance containing the result.
Transforms given vector by this matrix.
A instance.
A new instance containing the result.
Transforms given point by this matrix.
A instance.
A new instance containing the result.
Transforms given point by this matrix.
A instance.
A new instance containing the result.
Transforms given point by this matrix.
A instance.
A new instance containing the result.
Transforms given point by this matrix.
A instance.
A new instance containing the result.
Transforms given point by this matrix.
A instance.
A new instance containing the result.
Transforms given point by this matrix.
A instance.
A new instance containing the result.
Transforms given point by this matrix.
A instance.
A new instance containing the result.
Transforms given vector by this matrix.
A instance.
A new instance containing the result.
Creates a 2D vector from specified angle in radians, transforms this vector and returns the new angle of this vector.
Calculates the determinant value of the matrix.
The determinant value of the matrix.
Calculates the adjoint of the matrix.
A instance containing the adjoint of the matrix.
Calculates the inverse of the matrix.
It is not always possible to invert a matrix, in which case you'll get a
matrix containing infinite values. See the method for
a method which indicates whether inversion was possible or not.
A instance containing the inverse of the matrix.
Calculates the inverse of the matrix.
set to true if the inversion was possible and false otherwise
A instance containing the inverse of the matrix.
Gets the transpose of this matrix.
Build a 3x3 matrix from from the current matrix without the given row and column.
The row to remove.
The column to remove.
A instance containing the result Minor.
Calculates the trace of the matrix which is the sum of its diagonal elements.
Returns the trace value of the matrix.
Transposes this matrix.
return translation component of the matrix
Tests whether two matrices are approximately equal using default tolerance value.
if the two matrices are approximately equal; otherwise, .
Tests whether two matrices are approximately equal given a tolerance value.
Matrix 1.
Matrix 2.
The tolerance value used to test approximate equality.
if the two matrices are approximately equal; otherwise, .
Tests whether two specified matrices are equal.
The left-hand matrix.
The right-hand matrix.
if the two matrices are equal; otherwise, .
Tests whether two specified matrices are not equal.
The left-hand matrix.
The right-hand matrix.
if the two matrices are not equal; otherwise, .
Adds two matrices.
A instance.
A instance.
A new instance containing the sum.
Subtracts a matrix from a matrix.
A instance.
A instance.
A new instance containing the difference.
Multiplies two matrices.
A instance.
A instance.
A new instance containing the result.
Transforms given vector by a matrix.
A instance.
A instance.
A new instance containing the result.
Transforms given vector by a matrix.
A 3D vector is equivalent to a 4D vector with W-coordinate equal to zero.
A instance.
A instance.
A new instance containing the result.
Transforms given point by a matrix.
A 3D point is equivalent to a 4D vector with W-coordinate equal to one.
A instance.
A instance.
A new instance containing the result.
Transforms given point by matrix, assuming a z coordinate of 0.
A instance.
A instance.
A new instance containing the result.
Converts the specified double-precision matrix to a single-precision matrix.
Converts the specified single-precision matrix to a double-precision matrix.
Returns true if this matrix is equal to specified matrix.
Indexer allowing to access the matrix elements by an index
where index = 4 * column + row.
Indexer allowing to access the matrix elements by row and column.
Bounds object for convenient updating of a bounding box.
Constructor.
Constructor.
Constructor.
Reset the bounds.
Update bounds with given point.
Update bounds with given point.
Update bounds with given points.
Update bounds with given points.
Update bounds with given bounds.
Update bounds.
x coordinate
y coordinate
Translate this bounds.
translation in x
translation in y
Is this bounds overlapping another?
If this or the other bounds is not initialized, false is returned.
Other bounds.
true if there is any overlap, including an overlap of width 0.0.
Clone.
Corner point with smallest coordinates.
Corner point with largest coordinates.
Corner point with smallest coordinates.
Another name for .
Corner point with largest coordinates.
Another name for .
Vector from to .
The center.
Returns the four corner points.
Are the bounds initialized?
See for more details .
Keyed collection, with TryGetValue method.
The type of keys in the collection.
The type of items in the collection.
Initializes a new instance of the class.
Initializes a new instance of the class.
Initializes a new instance of the class.
Gets the value associated with the specified key.
true if the Dictionary contains an element with the specified key; otherwise, false.
Get a collection of the keys of this KeyedCollection.
Initializes a new instance of the class.
Initializes a new instance of the class.
Initializes a new instance of the class.
Inserts an element into the at the specified index.
Replaces the item at the specified index with the specified item.
Removes the element at the specified index.
Removes all elements from the .
Fires event.
Fires event.
Fires event.
Represents a bit converter that doesn't swap the bytes on input/output.
This is a basic wrapper around .
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Converts the specified bytes to a .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to a .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
This class represents a 2D polygon: a closed plane figure with n sides (in 2D).
This class has methods to:
-
calculate the polygon area (),
-
to test whether a point is inside the polygon (),
-
test whether the polygon is clockwise or not (),
-
do boolean operations (, , ).
Further static methods are also provided to allow to use other data structures than Polygon2D.
The default precision with which boolean operations are done (currently 1e-8).
Get the intersection of two given regions.
Each region is defined by a set of polygons.
If a polygon is counter clockwise, it is filled, if it's clockwise it represents a hole.
Polygons of one region may not intersect each other. A polygon may touch itself though.
The outer polygon must always be counter clockwise
(if there are holes, the hole must always be a cutout of a non-hole).
Uses the as the precision.
First region, see restrictons above.
Second region, see restrictions above.
The polygons building the intersection of both lists.
This is a simple example of getting the intersection of two regions.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Test {
public class Polygon2DTest {
public List<Polygon2D> IntersectionExample() {
// Two polygons where two edges overlap, and two edges intersect.
Polygon2D p1 = new Polygon2D(
new Point2D(1d, 1d),
new Point2D(2d, 1d),
new Point2D(2d, 2d),
new Point2D(1d, 2d)
);
Polygon2D p2 = new Polygon2D(
new Point2D(1.5d, 1.5d),
new Point2D(2d, 1.6d),
new Point2D(2d, 3d),
new Point2D(1d, 3d)
);
List<Polygon2D> result = Polygon2D.GetIntersection(new Polygon2D[] { p1 }, new Polygon2D[] { p2 });
return result;
}
}
}
Get the intersection of two given regions.
Each region is defined by a set of polygons.
If a polygon is counter clockwise, it is filled, if it's clockwise it represents a hole.
Polygons of one region may not intersect each other. A polygon may touch itself though.
The outer polygon must always be counter clockwise
(if there are holes, the hole must always be a cutout of a non-hole).
First region, see restrictons above.
Second region, see restrictions above.
The precision used, a small but positive number.
The polygons building the intersection of both lists.
This is a simple example of getting the intersection of two regions.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Test {
public class Polygon2DTest {
public List<Polygon2D> IntersectionExample() {
// Two polygons where two edges overlap, and two edges intersect.
Polygon2D p1 = new Polygon2D(
new Point2D(1d, 1d),
new Point2D(2d, 1d),
new Point2D(2d, 2d),
new Point2D(1d, 2d)
);
Polygon2D p2 = new Polygon2D(
new Point2D(1.5d, 1.5d),
new Point2D(2d, 1.6d),
new Point2D(2d, 3d),
new Point2D(1d, 3d)
);
List<Polygon2D> result = Polygon2D.GetIntersection(new Polygon2D[] { p1 }, new Polygon2D[] { p2 });
return result;
}
}
}
Get the difference of two given regions (region2 is subtracted from region1).
Each region is defined by a set of polygons.
If a polygon is counter clockwise, it is filled, if it's clockwise it represents a hole.
Polygons of one region may not intersect each other. A polygon may touch itself though.
The outer polygon must always be counter clockwise
(if there are holes, the hole must always be a cutout of a non-hole).
Uses the as the precision.
First region, see restrictons above.
Second region, see restrictions above.
The polygons building the difference of the first minus the second list.
This is a simple example of getting the difference of two regions.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Test {
public class Polygon2DTest {
public List<Polygon2D> DifferenceExample() {
// Two polygons where two edges overlap, and two edges intersect.
Polygon2D p1 = new Polygon2D(
new Point2D(1d, 1d),
new Point2D(2d, 1d),
new Point2D(2d, 2d),
new Point2D(1d, 2d)
);
Polygon2D p2 = new Polygon2D(
new Point2D(1.5d, 1.5d),
new Point2D(2d, 1.6d),
new Point2D(2d, 3d),
new Point2D(1d, 3d)
);
List<Polygon2D> result = Polygon2D.GetDifference(new Polygon2D[] { p1 }, new Polygon2D[] { p2 });
return result;
}
}
}
Get the difference of two given regions (region2 is subtracted from region1).
Each region is defined by a set of polygons.
If a polygon is counter clockwise, it is filled, if it's clockwise it represents a hole.
Polygons of one region may not intersect each other. A polygon may touch itself though.
The outer polygon must always be counter clockwise
(if there are holes, the hole must always be a cutout of a non-hole).
First region, see restrictons above.
Second region, see restrictions above.
The precision used, a small but positive number.
The polygons building the difference of the first minus the second list.
This is a simple example of getting the difference of two regions.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Test {
public class Polygon2DTest {
public List<Polygon2D> DifferenceExample() {
// Two polygons where two edges overlap, and two edges intersect.
Polygon2D p1 = new Polygon2D(
new Point2D(1d, 1d),
new Point2D(2d, 1d),
new Point2D(2d, 2d),
new Point2D(1d, 2d)
);
Polygon2D p2 = new Polygon2D(
new Point2D(1.5d, 1.5d),
new Point2D(2d, 1.6d),
new Point2D(2d, 3d),
new Point2D(1d, 3d)
);
List<Polygon2D> result = Polygon2D.GetDifference(new Polygon2D[] { p1 }, new Polygon2D[] { p2 });
return result;
}
}
}
Get the union of two given regions.
Each region is defined by a set of polygons.
If a polygon is counter clockwise, it is filled, if it's clockwise it represents a hole.
Polygons of one region may not intersect each other. A polygon may touch itself though.
The outer polygon must always be counter clockwise
(if there are holes, the hole must always be a cutout of a non-hole).
Uses the as the precision.
First region, see restrictons above.
Second region, see restrictions above.
The polygons building the union of the first and the second region.
This is a simple example of getting the union of two regions.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Test {
public class Polygon2DTest {
public List<Polygon2D> UnionExample() {
// Two polygons where two edges overlap, and two edges intersect.
Polygon2D p1 = new Polygon2D(
new Point2D(1d, 1d),
new Point2D(2d, 1d),
new Point2D(2d, 2d),
new Point2D(1d, 2d)
);
Polygon2D p2 = new Polygon2D(
new Point2D(1.5d, 1.5d),
new Point2D(2d, 1.6d),
new Point2D(2d, 3d),
new Point2D(1d, 3d)
);
List<Polygon2D> result = Polygon2D.GetUnion(new Polygon2D[] { p1 }, new Polygon2D[] { p2 });
return result;
}
}
}
Get the union of two given regions.
Each region is defined by a set of polygons.
If a polygon is counter clockwise, it is filled, if it's clockwise it represents a hole.
Polygons of one region may not intersect each other. A polygon may touch itself though.
The outer polygon must always be counter clockwise
(if there are holes, the hole must always be a cutout of a non-hole).
First region, see restrictons above.
Second region, see restrictions above.
The precision used, a small but positive number.
The polygons building the union of the first and the second region.
This is a simple example of getting the union of two regions.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Test {
public class Polygon2DTest {
public List<Polygon2D> UnionExample() {
// Two polygons where two edges overlap, and two edges intersect.
Polygon2D p1 = new Polygon2D(
new Point2D(1d, 1d),
new Point2D(2d, 1d),
new Point2D(2d, 2d),
new Point2D(1d, 2d)
);
Polygon2D p2 = new Polygon2D(
new Point2D(1.5d, 1.5d),
new Point2D(2d, 1.6d),
new Point2D(2d, 3d),
new Point2D(1d, 3d)
);
List<Polygon2D> result = Polygon2D.GetUnion(new Polygon2D[] { p1 }, new Polygon2D[] { p2 });
return result;
}
}
}
Get the exclusive or (XOR) of two given regions.
Each region is defined by a set of polygons.
If a polygon is counter clockwise, it is filled, if it's clockwise it represents a hole.
Polygons of one region may not intersect each other. A polygon may touch itself though.
The outer polygon must always be counter clockwise
(if there are holes, the hole must always be a cutout of a non-hole).
Uses the as the precision.
First region, see restrictons above.
Second region, see restrictions above.
The polygons building the exclusive or of the first and the second region.
This is a simple example of getting the exclusive or of two regions.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Test {
public class Polygon2DTest {
public List<Polygon2D> ExclusiveOrExample() {
Polygon2D polygon1 =
new Polygon2D(
new Point2D(2d, 1d),
new Point2D(5d, 2d),
new Point2D(4d, 5d),
new Point2D(1d, 4d)
);
Polygon2D polygon2 =
new Polygon2D(
new Point2D(3d, -1d),
new Point2D(7d, 1d),
new Point2D(6d, 4d),
new Point2D(-1d, 2d)
);
List<Polygon2D> result = Polygon2D.GetExclusiveOr(
new Polygon2D[] { polygon1 },
new Polygon2D[] { polygon2 }
);
return result;
}
}
}
Get the exclusive or (XOR) of two given regions.
Each region is defined by a set of polygons.
If a polygon is counter clockwise, it is filled, if it's clockwise it represents a hole.
Polygons of one region may not intersect each other. A polygon may touch itself though.
The outer polygon must always be counter clockwise
(if there are holes, the hole must always be a cutout of a non-hole).
First region, see restrictons above.
Second region, see restrictions above.
The precision used, a small but positive number.
The polygons building the exclusive or of the first and the second region.
This is a simple example of getting the exclusive or of two regions.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Test {
public class Polygon2DTest {
public List<Polygon2D> ExclusiveOrExample() {
Polygon2D polygon1 =
new Polygon2D(
new Point2D(2d, 1d),
new Point2D(5d, 2d),
new Point2D(4d, 5d),
new Point2D(1d, 4d)
);
Polygon2D polygon2 =
new Polygon2D(
new Point2D(3d, -1d),
new Point2D(7d, 1d),
new Point2D(6d, 4d),
new Point2D(-1d, 2d)
);
List<Polygon2D> result = Polygon2D.GetExclusiveOr(
new Polygon2D[] { polygon1 },
new Polygon2D[] { polygon2 }
);
return result;
}
}
}
Initializes a new instance of the class.
Initializes a new instance of the class.
Initializes a new instance of the class.
Initializes a new instance of the class.
Initializes a new instance of the class.
Get the bounds of this polygon.
Calculates the centroid of a polygon (also known as the center of mass).
The polygon may not be self intersecting.
The centroid or null if the polygon has no points.
Calculates the centroid of a polygon (also known as the center of mass) and
the area of the polygon.
Clockwise polygons will result in a negative area.
The polygon may not be self intersecting.
The centroid or null if the polygon has no points.
Is this polygon convex?
true if the polygon is convex, false if it is not convex.
Determine if a point is inside of this polygon.
Uses the winding number to compute whether the point is inside the polygon
().
Returns true if the winding number's value is odd.
Gets the number of intersections between a ray and a polygon.
Returns whether the polygon is clockwise.
The polygon may not be self intersecting.
Gets the area of the polygon.
Clockwise polygons will result in a negative area.
The polygon may not be self intersecting.
The area, where clockwise polygons will result in a negative area.
Outsets the polygon to the right by the specified distance.
Right is defined as the right side when travelling the polygon from first to last point.
Only works for 3 points or more.
The outset distance. Use a negative value for inset.
'Right' sets the polygon to the right by the specified distance.
Right is defined as the right side when travelling the polygon from first to last point.
Only works for 3 points or more.
The distance. Use a negative value for 'left' set.
Gets the reverse polygon
(useful to change polygon from clockwise to counter clockwise and vice versa).
Creates an iterator over this shape.
Add the bounds of this shape to the given bounds.
Bounds where to add this shape's bounds
Determine if a point is inside a polygon.
Uses the Jordan Curve theorem.
Determine if a point is inside of a set of polygons.
The point.
The polygons enumerator, must enumerate over items of type .
Uses the winding number to compute whether the point is inside the polygons
().
Returns true if the winding number's value is odd.
Determine if a point is inside of a set of polygons.
Uses the winding number to compute whether the point is inside the polygons
().
Returns true if the winding number's value is odd.
Gets the winding number of specified point with respect to specified polygon.
The winding number can be used to determine if a point is inside the polygon using the winding number.
It depends on the definition of inside how this can be done. Useful definitions are
an odd winding number, a positive winding number or a non-zero winding number.
Gets the winding number of specified point with respect to specified polygon.
The winding number can be used to determine if a point is inside the polygon using the winding number.
It depends on the definition of inside how this can be done. Useful definitions are
an odd winding number, a positive winding number or a non-zero winding number.
Gets the number of intersections between a ray and a polygon.
Gets the number of intersections between a ray and a polygon.
Returns whether given polygon is clockwise.
The polygon may not be self intersecting.
Gets the area of the polygon.
Clockwise polygons will result in a negative area.
The polygon may not be self intersecting.
The area, where clockwise polygons will result in a negative area.
Calculates the double area.
Clockwise polygons will result in a negative area.
The polygon may not be self intersecting.
The double area, where clockwise polygons will result in a negative area.
Returns whether given polygon is clockwise.
The polygon may not be self intersecting.
Gets the area of the polygon.
Clockwise polygons will result in a negative area.
The polygon may not be self intersecting.
The area, where clockwise polygons will result in a negative area.
Calculates the double area.
Clockwise polygons will result in a negative area.
The polygon may not be self intersecting.
The double area, where clockwise polygons will result in a negative area.
Calculates the centroid of a polygon (also known as the center of mass).
The polygon may not be self intersecting.
The centroid or null if the polygon has no points.
Calculates the centroid of a polygon (also known as the center of mass) and
the area of the polygon.
Clockwise polygons will result in a negative area.
The polygon may not be self intersecting.
The centroid or null if the polygon has no points.
Outsets a polygon by the specified distance.
Right is defined as the right side when travelling the polygon from first to last point.
Only works for 3 points or more.
The polygon points. The collection is modified by this method.
The outset distance. Use a negative value for inset.
'Right' sets a polygon to the right by the specified distance.
Right is defined as the right side when travelling the polygon from first to last point.
Only works for 3 points or more.
The polygon points. The collection is modified by this method.
The distance
Creates objects for the given polygon and adds them to the
specified segments.
Calculates the convex hull using the Melkman algorithm (1987).
This method assumes the specified polygon is a simple polygon (i.e. it does not cross itself).
The running time of this algorithm is O(n).
Calculates the convex hull using the Melkman algorithm (1987).
This method assumes the specified polygon is a simple polygon (i.e. it does not cross itself).
The running time of this algorithm is O(n).
Calculates the convex hull using the Melkman algorithm (1987).
This method assumes the specified polygon is a simple polygon (i.e. it does not cross itself).
The input polygon is expected to be counter clockwise.
The result is counter clockwise.
The running time of this algorithm is O(n).
Calculates the convex hull using the Melkman algorithm (1987).
This method assumes the specified polygon is a simple polygon (i.e. it does not cross itself).
The input polygon is expected to be counter clockwise.
The result is counter clockwise.
The running time of this algorithm is O(n).
Gets the minimum area rectangle that encloses specified convex polygon.
This method assumes the polygon is convex and does not verify it is convex.
The running time of this algorithm is O(n).
Gets the minimum area rectangle that encloses specified convex polygon.
This method assumes the polygon is convex and does not verify it is convex.
The running time of this algorithm is O(n).
Determine if a point is inside of a (closed) polyline.
Uses the Jordan Curve theorem.
Does this path contain any segments?
This class contains methods for doing boolean operations on 2D polygons.
The following boolan operations are implemented:
-
Union: ,
-
Difference: ,
-
Intersection: ,
-
Exclusive or (symmetric difference): ,
This implementation replaces the older implementation, and is more robust and faster.
The old implementation is still available here: .
Get the union of two given regions.
Each region is defined by a set of polygons.
If a polygon is counter clockwise, it is filled, if it's clockwise it represents a hole.
Polygons of one region may not intersect each other. A polygon may touch itself though.
The outer polygon must always be counter clockwise
(if there are holes, the hole must always be a cutout of a non-hole).
Uses the as the precision.
First region, see restrictons above.
Second region, see restrictions above.
This is a simple example of getting the union of two regions.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Test {
public class Polygon2DTest {
public List<Polygon2D> UnionExample() {
// Two polygons where two edges overlap, and two edges intersect.
Polygon2D p1 = new Polygon2D(
new Point2D(1d, 1d),
new Point2D(2d, 1d),
new Point2D(2d, 2d),
new Point2D(1d, 2d)
);
Polygon2D p2 = new Polygon2D(
new Point2D(1.5d, 1.5d),
new Point2D(2d, 1.6d),
new Point2D(2d, 3d),
new Point2D(1d, 3d)
);
List<Polygon2D> result = Polygon2D.GetUnion(new Polygon2D[] { p1 }, new Polygon2D[] { p2 });
return result;
}
}
}
Get the union of two given regions.
Each region is defined by a set of polygons.
If a polygon is counter clockwise, it is filled, if it's clockwise it represents a hole.
Polygons of one region may not intersect each other. A polygon may touch itself though.
The outer polygon must always be counter clockwise
(if there are holes, the hole must always be a cutout of a non-hole).
First region, see restrictons above.
Second region, see restrictions above.
The precision used, a small but positive number.
This is a simple example of getting the union of two regions.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Test {
public class Polygon2DTest {
public List<Polygon2D> UnionExample() {
// Two polygons where two edges overlap, and two edges intersect.
Polygon2D p1 = new Polygon2D(
new Point2D(1d, 1d),
new Point2D(2d, 1d),
new Point2D(2d, 2d),
new Point2D(1d, 2d)
);
Polygon2D p2 = new Polygon2D(
new Point2D(1.5d, 1.5d),
new Point2D(2d, 1.6d),
new Point2D(2d, 3d),
new Point2D(1d, 3d)
);
List<Polygon2D> result = Polygon2D.GetUnion(new Polygon2D[] { p1 }, new Polygon2D[] { p2 });
return result;
}
}
}
Get the difference of two given regions (region2 is subtracted from region1).
Each region is defined by a set of polygons.
If a polygon is counter clockwise, it is filled, if it's clockwise it represents a hole.
Polygons of one region may not intersect each other. A polygon may touch itself though.
The outer polygon must always be counter clockwise
(if there are holes, the hole must always be a cutout of a non-hole).
Uses the as the precision.
First region, see restrictons above.
Second region, see restrictions above.
This is a simple example of getting the difference of two regions.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Test {
public class Polygon2DTest {
public List<Polygon2D> DifferenceExample() {
// Two polygons where two edges overlap, and two edges intersect.
Polygon2D p1 = new Polygon2D(
new Point2D(1d, 1d),
new Point2D(2d, 1d),
new Point2D(2d, 2d),
new Point2D(1d, 2d)
);
Polygon2D p2 = new Polygon2D(
new Point2D(1.5d, 1.5d),
new Point2D(2d, 1.6d),
new Point2D(2d, 3d),
new Point2D(1d, 3d)
);
List<Polygon2D> result = Polygon2D.GetDifference(new Polygon2D[] { p1 }, new Polygon2D[] { p2 });
return result;
}
}
}
Get the difference of two given regions (region2 is subtracted from region1).
Each region is defined by a set of polygons.
If a polygon is counter clockwise, it is filled, if it's clockwise it represents a hole.
Polygons of one region may not intersect each other. A polygon may touch itself though.
The outer polygon must always be counter clockwise
(if there are holes, the hole must always be a cutout of a non-hole).
First region, see restrictons above.
Second region, see restrictions above.
The precision used, a small but positive number.
This is a simple example of getting the difference of two regions.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Test {
public class Polygon2DTest {
public List<Polygon2D> DifferenceExample() {
// Two polygons where two edges overlap, and two edges intersect.
Polygon2D p1 = new Polygon2D(
new Point2D(1d, 1d),
new Point2D(2d, 1d),
new Point2D(2d, 2d),
new Point2D(1d, 2d)
);
Polygon2D p2 = new Polygon2D(
new Point2D(1.5d, 1.5d),
new Point2D(2d, 1.6d),
new Point2D(2d, 3d),
new Point2D(1d, 3d)
);
List<Polygon2D> result = Polygon2D.GetDifference(new Polygon2D[] { p1 }, new Polygon2D[] { p2 });
return result;
}
}
}
Get the intersection of two given regions.
Each region is defined by a set of polygons.
If a polygon is counter clockwise, it is filled, if it's clockwise it represents a hole.
Polygons of one region may not intersect each other. A polygon may touch itself though.
The outer polygon must always be counter clockwise
(if there are holes, the hole must always be a cutout of a non-hole).
Uses the as the precision.
First region, see restrictons above.
Second region, see restrictions above.
This is a simple example of getting the intersection of two regions.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Test {
public class Polygon2DTest {
public List<Polygon2D> IntersectionExample() {
// Two polygons where two edges overlap, and two edges intersect.
Polygon2D p1 = new Polygon2D(
new Point2D(1d, 1d),
new Point2D(2d, 1d),
new Point2D(2d, 2d),
new Point2D(1d, 2d)
);
Polygon2D p2 = new Polygon2D(
new Point2D(1.5d, 1.5d),
new Point2D(2d, 1.6d),
new Point2D(2d, 3d),
new Point2D(1d, 3d)
);
List<Polygon2D> result = Polygon2D.GetIntersection(new Polygon2D[] { p1 }, new Polygon2D[] { p2 });
return result;
}
}
}
Get the intersection of two given regions.
Each region is defined by a set of polygons.
If a polygon is counter clockwise, it is filled, if it's clockwise it represents a hole.
Polygons of one region may not intersect each other. A polygon may touch itself though.
The outer polygon must always be counter clockwise
(if there are holes, the hole must always be a cutout of a non-hole).
First region, see restrictons above.
Second region, see restrictions above.
The precision used, a small but positive number.
This is a simple example of getting the intersection of two regions.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Test {
public class Polygon2DTest {
public List<Polygon2D> IntersectionExample() {
// Two polygons where two edges overlap, and two edges intersect.
Polygon2D p1 = new Polygon2D(
new Point2D(1d, 1d),
new Point2D(2d, 1d),
new Point2D(2d, 2d),
new Point2D(1d, 2d)
);
Polygon2D p2 = new Polygon2D(
new Point2D(1.5d, 1.5d),
new Point2D(2d, 1.6d),
new Point2D(2d, 3d),
new Point2D(1d, 3d)
);
List<Polygon2D> result = Polygon2D.GetIntersection(new Polygon2D[] { p1 }, new Polygon2D[] { p2 });
return result;
}
}
}
Get the exclusive or (XOR) of two given regions.
Each region is defined by a set of polygons.
If a polygon is counter clockwise, it is filled, if it's clockwise it represents a hole.
Polygons of one region may not intersect each other. A polygon may touch itself though.
The outer polygon must always be counter clockwise
(if there are holes, the hole must always be a cutout of a non-hole).
Uses the as the precision.
First region, see restrictons above.
Second region, see restrictions above.
This is a simple example of getting the exclusive or of two regions.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Test {
public class Polygon2DTest {
public List<Polygon2D> ExclusiveOrExample() {
Polygon2D polygon1 =
new Polygon2D(
new Point2D(2d, 1d),
new Point2D(5d, 2d),
new Point2D(4d, 5d),
new Point2D(1d, 4d)
);
Polygon2D polygon2 =
new Polygon2D(
new Point2D(3d, -1d),
new Point2D(7d, 1d),
new Point2D(6d, 4d),
new Point2D(-1d, 2d)
);
List<Polygon2D> result = Polygon2D.GetExclusiveOr(
new Polygon2D[] { polygon1 },
new Polygon2D[] { polygon2 }
);
return result;
}
}
}
Get the exclusive or (XOR) of two given regions.
Each region is defined by a set of polygons.
If a polygon is counter clockwise, it is filled, if it's clockwise it represents a hole.
Polygons of one region may not intersect each other. A polygon may touch itself though.
The outer polygon must always be counter clockwise
(if there are holes, the hole must always be a cutout of a non-hole).
First region, see restrictons above.
Second region, see restrictions above.
The precision used, a small but positive number.
This is a simple example of getting the exclusive or of two regions.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Test {
public class Polygon2DTest {
public List<Polygon2D> ExclusiveOrExample() {
Polygon2D polygon1 =
new Polygon2D(
new Point2D(2d, 1d),
new Point2D(5d, 2d),
new Point2D(4d, 5d),
new Point2D(1d, 4d)
);
Polygon2D polygon2 =
new Polygon2D(
new Point2D(3d, -1d),
new Point2D(7d, 1d),
new Point2D(6d, 4d),
new Point2D(-1d, 2d)
);
List<Polygon2D> result = Polygon2D.GetExclusiveOr(
new Polygon2D[] { polygon1 },
new Polygon2D[] { polygon2 }
);
return result;
}
}
}
Collect polygon from given start segment.
the start segment of the polygon
the result region to which to add the result polygon
the function to determine whether or not to include a segment
Is used for protecting against endless looping as a safety precaution, just in case
the data causes floating point issues and ends up looping forever.
Givens points were very close together, so replace one by the other.
Find shared points and convert to internal structures.
Adds a vertex at a sorted position.
Gets the vertices.
Represents a vertex.
Returns whether the specified segment is included in the angle
between in and out segment of this vertex.
Gets or sets the incoming segment.
Gets or sets the outgoing segment.
Adds the specified intersection.
If there was already an intersection present with the same parameter or Point,
than the intersection was not added, and the existing intersection is returned.
Calculate the first segment status based on the other region.
Calculate the segment status based on the previous segment and other region.
Events are sorted first along the x-axis, and then along the y-axis.
Represents a red black tree (a type of self-balancing binary search tree).
Initializes a new instance of the class.
Initializes a new instance of the class.
Uses the as comparer.
Adds the specified value to this collection.
Returns true if successfully added, returns false
if the key was already present.
Finds the item in this collection that matches the specified value.
Finds the node using specified comparer object
(this should match the comparer on which this tree is based).
Gets the enumerator and moves to target element if present in this collection.
Gets the reverse enumerator.
Gets the reverse enumerator and moves to target element if present in this collection.
Adds the specified value to this collection.
An element with the same key already exists in this collection.
Removes specified value.
Returns true if the value was present in this collection.
Removes all items.
Returns whether this collections contains specified item.
Copies the elements of this collection to an System.Array, starting at a particular System.Array index.
Gets the enumerator.
Gets the enumerator.
Finds the node with specified value.
Returns the black height.
Throws an exception if the tree is invalid.
Used for testing only.
Left becomes the new root.
Right becomes the new root.
Gets the number of elements.
Gets a value indicating whether the collection is read-only.
Gets the root node.
Represents an enumerator base class.
Initializes a new instance of the class.
Initializes a new instance of the class.
The tree.
The target to move to if present in the tree.
Initializes a new instance of the class.
this enumerator moves to the same position as specified from enumerator.
Finds the specified target and moves to the target if present.
Performs application-defined tasks associated with freeing, releasing, or resetting unmanaged resources.
Advances the enumerator to the next element of the collection.
true if the enumerator was successfully advanced to the next element; false if the enumerator has passed the end of the collection.
The collection was modified after the enumerator was created.
Sets the enumerator to its initial position, which is before the first element in the collection.
The collection was modified after the enumerator was created.
Gets the current item.
Gets the current item.
Represents a forward enumerator for a .
Initializes a new instance of the class.
Initializes a new instance of the class.
The tree.
The target to move to if present in the tree.
Initializes a new instance of the class.
this enumerator moves to the same position as specified from enumerator.
Finds the item matching the specified value, or the item following it.
Returns true if the item was found or an item greater than specified value.
Advances the enumerator to the next element of the collection.
true if the enumerator was successfully advanced to the next element; false if the enumerator has passed the end of the collection.
The collection was modified after the enumerator was created.
Represents a reverse enumerator for a .
Initializes a new instance of the class.
Initializes a new instance of the class.
The tree.
The target to move to if present in the tree.
Initializes a new instance of the class.
this enumerator moves to the same position as specified from enumerator.
Advances the enumerator to the next element of the collection.
true if the enumerator was successfully advanced to the next element; false if the enumerator has passed the end of the collection.
The collection was modified after the enumerator was created.
Represents an event for doing segment-segment intersection using a sweepline algorithm.
Events are sorted first along the x-axis, and then along the y-axis.
Loosely based on bentley-ottman and "line segment intersection" by M. de Berg et al.
However this implementation doesn't use a balanced search tree for ordering segments along the sweepline
as it would be difficult to circumvent precision issues in case of multiple overlapping line segments.
Adds the specified intersection.
If there was already an intersection present with the same parameter or Point,
than the intersection was not added, and the existing intersection is returned.
If result was null, then intersection is at start or end point.
Gets the parameter (0-1), 0 represents a segments start point, 1 represents
the end point.
A region is a set of polygons.
Determine if a point is inside of a set of polygons.
Uses the winding number to compute whether the point is inside the polygons
().
Returns true if the winding number is greater than zero.
Gets the winding number of specified point.
Calculates the segment status for all segments in this region.
Gets a value indicating whether this is reversed.
Represents a polygon.
The IsInsidePolygons/GetWindingNumber are copied from Polygon2D and adapted.
Gets the winding number of specified point with respect to specified polygon.
The winding number can be used to determine if a point is inside the polygon using the winding number.
It depends on the definition of inside how this can be done. Useful definitions are
an odd winding number, a positive winding number or a non-zero winding number.
Gets the winding number of specified point with respect to specified polygon.
The winding number can be used to determine if a point is inside the polygon using the winding number.
It depends on the definition of inside how this can be done. Useful definitions are
an odd winding number, a positive winding number or a non-zero winding number.
Iterator over a closed polygon.
Constructor.
polygon to iterate
Move to the next segment.
Get the current segment.
Output of the points of the current segment, array must have at least capacity 3 at
Offset into the array to write the result to
Type of the current segment
Get the type of the current segment.
Type of the current segment
Get the total number of segments.
Return -1 if number is unknown.
Get the total number of points.
Return -1 if number is unknown.
This class contains the old implementation of the 2D polygon boolean operations.
This class has been replaced by .
Gets one simplex chain per polygon contour.
Calculates which edges overlap.
This is an 'original' simplex (triangle), with one point of the triangle being the origin.
The origin point doesn't need to be stored.
Negates the simplex. Note that the edge characterist is left empty here.
Gets the simplex alpha value.
Gets or sets the result of the characteristic function f on the non-original edge of the
simplex with respect to the other polygon.
Represents a context for drawable objects.
Initializes a new instance of the class.
The canvas rectangle (defined in the display coordinate system (DCS)).
For windows forms this corresponds the the .
The projection transform.
If set to true the projection transform flips the orientation (typically if the y-axis of the DCS points down like in Windows Forms).
The background color.
Gets or sets the canvas rectangle (defined in the display coordinate system (DCS)).
For windows forms this corresponds the the .
Gets or sets the projection transform.
The default value is .
Transforms from the world coordinate system (WCS) to the display coordinate system (DCS).
Gets or sets a value indicating whether the projection transform flips the orientation
(typically if the y-axis of the DCS points down like in Windows Forms).
Gets or sets the background color.
The default value is .
Gets or sets the length format string.
The default value is "#,##0.00".
Gets or sets the angle format string.
The default value is "#,##0.00".
Pure C# implementation of the MD5 algorithm.
Compute the hash value.
This uses the fastest available algorithm to calculate the MD5 hash value.
message bytes for which to calculate the hash value
MD5 hash value, 16 bytes
Compute the hash value.
This uses the fastest available algorithm to calculate the MD5 hash value.
Message bytes for which to calculate the hash value
Message start
Message length
MD5 hash value, 16 bytes
Compute the hash value.
This uses a software algorithm to calculate the MD5 hash value.
Generally you shoud prefer using the method.
message bytes for which to calculate the hash value
MD5 hash value, 16 bytes
Compute the hash value.
This uses a software algorithm to calculate the MD5 hash value.
Generally you shoud prefer using the method.
message bytes for which to calculate the hash value
Message start
Message length
MD5 hash value, 16 bytes
Represents a canonical glyph without advance.
The letter this glyph represents.
The canonical path of the letter.
Has this glyph to be drawn filled?
The canonical advance of the letter.
The advance is the distance on the baseline the insertion point is moved after this letter is drawn,
defining the insertion point of the next letter.
Initializes a new instance of the class.
The start.
The end.
Gets the center.
Returns whether this segment overlaps the other segment (exclusive segment ends).
Returns whether this segment overlaps the other segment (inclusive segment ends).
Determines whether the specified number is contained (inclusive segments ends).
Determines whether the specified number is contained (exclusive segments ends).
Returns whether this segment overlaps the other segment (exclusive segment ends).
Returns whether this segment overlaps the other segment (inclusive segment ends).
Gets the difference between given segments and the to be subtracted segments.
Gets or sets the start.
Gets or sets the end.
Bounds object for convenient updating of a bounding box.
Initializes a new instance of the class.
Initializes a new instance of the class.
Initializes a new instance of the class.
Initializes a new instance of the class.
Reset the bounds.
Update bounds with given point.
Update bounds with given points.
Update bounds with given points.
Update bounds with given point.
The vector is assumed to represent a point, meaning that its W coordinate is unequal to zero.
Update bounds with given points.
Each vector is assumed to represent a point, meaning that its W coordinate is unequal to zero.
Update bounds with given points.
Each vector is assumed to represent a point, meaning that its W coordinate is unequal to zero.
Update bounds with given points.
Each vector is assumed to represent a point, meaning that its W coordinate is unequal to zero.
Update bounds with given bounds.
Update bounds.
x coordinate
y coordinate
z coordinate
Translate this bounds.
translation in x
translation in y
translation in z
Transforms the bounds by specified transform.
Calculates whether this object intersects the specified segment.
true if intersects.
Gets the intersection parameters.
The segment.
The first intersection parameter (between 0 and 1).
The second intersection parameter (between 0 and 1, greater than p0).
true if the segment intersects the bounding box.
Is this bounds overlapping another?
If this or the other bounds is not initialized, false is returned.
Other bounds.
true if there is any overlap, including an overlap of width 0.0.
Clone.
Corner point with smallest coordinates.
Corner point with largest coordinates.
Corner point with smallest coordinates.
Another name for .
Corner point with largest coordinates.
Another name for .
Vector from to .
The center.
Returns the eight corner points.
Are the bounds initialized?
Optional attribute for detailed specification of where
should look for its resources.
See also
Place where can find its resources.
Resource name for a property's DisplayName.
Resource name for a property's Description.
Resource name for a property's Category.
The x-coordinate.
The y-coordinate.
The z-coordinate.
The 3D zero point.
Initializes this point with given coordinates.
Initializes this point with given coordinates.
Initializes this point with given 2D point and z-coordinate.
Initializes this point with given coordinates.
Initializes this point with given coordinates.
Initializes this point with coordinates from given source point.
Initializes this point with coordinates from given source vector.
Adds specified vector to a point and returns the result.
p + v.
Subtracts specified vector from a point and returns the result.
p - v.
Returns the difference vector between given points.
a - b.
Gets the mid point of specified 2 points.
Adds specified coordinates.
See .
See .
Returns a string representation of this object (format: "x, y, z").
To string conversion is done using the .
Tests whether two specified points are equal.
Tests whether two specified points are not equal.
Adds a vector to a point.
Adds a vector to a point.
Subtracts a vector from a point.
Returns the difference vector between given points.
Converts the point to an array of big rational floating point values.
Converts given 2D point to a 3D point as follows:
result = new Point3BR(p.X, p.Y, BigRational.Zero);
Converts given 4D vector to a 3D point as follows:
result = new Point3BR(p.X / p.W, p.Y / p.W, p.Z / p.W);
This conversion only works if p.W is unequal to zero.
(when equal to zero the vector represents a direction).
Converts given 3D vector to a 3D point.
Converts given 3D BigRational-precision point to a 3D single-precision point.
Returns true if this point is equal to specified point.
Indexer.
Converts a to and from string representation.
Returns whether this converter can convert an object of the given type to the type of this converter, using the specified context.
Returns whether this converter can convert the object to the specified type, using the specified context.
Converts the given value object to the specified type, using the specified context and culture information.
Converts the given object to the type of this converter, using the specified context and culture information.
Failed parsing from string.
Returns whether this object supports a standard set of values that can be picked from a list.
true if should be called to find a common set of values the object supports; otherwise, false.
Returns a collection of standard values for the data type this type converter is designed for when provided with a format context.
A that holds a standard set of valid values, or a null reference (Nothing in Visual Basic) if the data type does not support a standard set of values.
Represents a 2D segment struct based on big rationals.
A line segment has a and an point.
Initializes a new instance of the struct.
Initializes a new instance of the struct.
Initializes a new instance of the struct.
Gets the center of the segment.
Gets minus .
Calculate intersection parameter between two line segments.
The result is the solution of equation
.Start + p * .GetDelta =
.Start + q * .GetDelta.
Line segment a.
Line segment b.
A single parameter has a value between BigRational.Zero and BigRational.One.
If the lines are parallel, the start p and end p of the overlapping line are returned.
Lowest p value is first in the array.
If the lines don't intersect then null is returned.
Analogue to .
When lines are parallel, q values are returned in the order that the
corresponding points are with respect to the p values.
true if intersection occurred.
Calculates if 2 line segment intersect.
Returns true if given point is on the line segment.
Returns the smallest squared distance between the line segment
and specified point.
Returns the point on this segment that is closest to the specified point.
Gets the projection of specified point onto this segment, normalized such that
the projection of the start point is 0 and of the end point is 1.
Returns NaN if this segment has a zero length.
Returns the distance from this segment's start point
in the direction of the end point, normalized to 0-1 when the point's projection
falls between the start and end point.
Determines whether this segment contains the projection of specified point.
Returns string representation.
See .
See .
Tests whether two specified segments are equal.
Tests whether two specified segments are not equal.
Gets or sets the start point.
Gets or sets the end point.
Returns whether given point is on the line that goes through the segment
between start and end point.
Determines whether this segment contains the projection of specified point.
Set before calling this method.
Bounds object for convenient updating of a bounding box.
Constructor.
Constructor.
Constructor.
Reset the bounds.
Update bounds with given point.
Update bounds with given points.
Update bounds with given points.
Update bounds with given bounds.
Update bounds.
x coordinate
y coordinate
Translate this bounds.
translation in x
translation in y
Is this bounds overlapping another?
If this or the other bounds is not initialized, false is returned.
Other bounds.
true if there is any overlap, including an overlap of width 0.0.
Clone.
Corner point with smallest coordinates.
Corner point with largest coordinates.
Corner point with smallest coordinates.
Another name for .
Corner point with largest coordinates.
Another name for .
Vector from to .
The center.
Returns the four corner points.
Are the bounds initialized?
Initializes a new instance of the struct.
Initializes a new instance of the struct.
Gets the center of the segment.
Gets minus .
Get the line length.
Calculate intersection parameter between two line segments.
The result is the solution of equation
.Start + p * .GetDelta =
.Start + q * .GetDelta.
Line segment a.
Line segment b.
A single parameter has a value between 0 and 1.
If the lines are parallel, the start p and end p of the overlapping line are returned.
Lowest p value is first in the array.
If the lines don't intersect then null is returned.
Analogue to .
When lines are parallel, q values are returned in the order that the
corresponding points are with respect to the p values.
true if intersection occurred.
Calculate intersection parameter between two line segments.
The result is the solution of equation
.Start + p * .GetDelta =
.Start + q * .GetDelta.
Line segment a.
Line segment b.
A single parameter has a value between 0 and 1.
If the lines are parallel, the start p and end p of the overlapping line are returned.
Lowest p value is first in the array.
If the lines don't intersect then null is returned.
Analogue to .
When lines are parallel, q values are returned in the order that the
corresponding points are with respect to the p values.
The precision used to determine if segments are parallel or not.
true if intersection occurred.
Calculates if 2 line segment intersect.
Returns true if given point is on the line segment.
Returns true if given point is on the line segment.
Returns the smallest distance between the line segment
and specified point.
Returns the smallest squared distance between the line segment
and specified point.
Returns the point on this segment that is closest to the specified point.
Gets the projection of specified point onto this segment, normalized such that
the projection of the start point is 0 and of the end point is 1.
Returns the distance from this segment's start point
in the direction of the end point, normalized to 0-1 when the point's projection
falls between the start and end point.
Gets the projection of specified point onto this segment.
Returns the distance from this segment's start point
in the direction of the end point.
Determines whether this segment contains the projection of specified point.
Determines whether this segment contains the projection of specified point.
Returns string representation.
See .
See .
Creates an iterator over this shape.
Add the bounds of this shape to the given bounds.
Bounds where to add this shape's bounds
Tests whether two specified segments are equal.
Tests whether two specified segments are not equal.
Gets or sets the start point.
Gets or sets the end point.
Does this path contain any segments?
Returns whether given point is on the line that goes through the segment
between start and end point.
Calculate the length and .
Determines whether this segment contains the projection of specified point.
Set before calling this method.
Constructor.
line to iterate over
Move to the next segment.
Get the current segment.
Output of the points of the current segment, array must have at least capacity 3 at
Offset into the array to write the result to
Type of the current segment
Get the type of the current segment.
Type of the current segment
Get the total number of segments.
Return -1 if number is unknown.
Get the total number of points.
Return -1 if number is unknown.
A 2D double precision line consisting of a and a .
The line is represented by
x(t) = + t *
where t may have any value.
If used as a shape the line is the representation of the parameter interval [0,1].
Initializes a new instance of the struct.
The line's origin.
The line's direction.
Initializes a new instance of the struct.
Initializes a new instance of the struct.
The start point of the line.
The end point of the line.
Calculates if 2 lines intersect.
Other line for testing intersection.
Resulting intersection.
If lines intersect, then this parameter indicates whether the
lines are parallel.
In this case parameter intersection contains no valid value.
Calculates if 2 lines intersect.
Other line for testing intersection.
Relative precision.
Resulting intersection.
If lines intersect, then this parameter indicates whether the
lines are parallel.
In this case parameter intersection contains no valid value.
Calculate intersection parameters between two lines.
Line a.
Line b.
p (may be smaller than zero).
q (may be smaller than zero).
whether the two lines intersect.
The results is the solution of equation
.Origin + p * .Direction =
.Origin + q * .Direction.
Calculate intersection parameters between two lines.
Line a.
Line b.
p (may be smaller than zero).
q (may be smaller than zero).
The precision.
whether the two lines intersect.
The results is the solution of equation
.Origin + p * .Direction =
.Origin + q * .Direction.
Calculate intersection parameters between two lines.
Line a.
Line b.
p (may be smaller than zero).
q (may be smaller than zero).
Whether the two lines are parallel.
whether the two lines intersect.
The results is the solution of equation
.Origin + p * .Direction =
.Origin + q * .Direction.
Calculate intersection parameters between two lines.
Line a.
Line b.
p (may be smaller than zero).
q (may be smaller than zero).
Whether the two lines are parallel.
The precision.
whether the two lines intersect.
The results is the solution of equation
.Origin + p * .Direction =
.Origin + q * .Direction.
Calculate intersection point between two lines.
Calculate intersection point between a line and a segment.
Calculate intersection point between a line and a segment.
Calculate intersection point between a line and a segment.
Line a.
Segment b.
p (may be smaller than zero).
When the line and segment are parallel, then p is set to .
q has value between 0 and 1 when there is 1 intersection.
When the line and segment are parallel, then p is set to .
is set to true when the line and segment are parallel.
whether the line and segment intersect.
The results is the solution of equation
.Origin + p * .Direction =
.Start + q * .GetDelta().
Calculate intersection point between a line and a segment.
Line a.
Segment b.
p (may be smaller than zero).
When the line and segment are parallel, then p is set to .
q has value between 0 and 1 when there is 1 intersection.
When the line and segment are parallel, then p is set to .
is set to true when the line and segment are parallel.
the precision.
whether the line and segment intersect.
The results is the solution of equation
.Origin + p * .Direction =
.Start + q * .GetDelta().
Returns the smallest distance between the ray
and specified point.
Returns the smallest squared distance between the ray
and specified point.
Returns the point on this line that is closest to the specified point.
Gets the least squares fit line given specified set of points.
The least squares fit minimizes the vertical distance of the specified points to
the best fitting line.
Thrown when number of points is less than two.
Returns whether the specified point is left of this line when looking at this line along its direction vector.
A point exactly on the line is not considered left of the line.
Returns whether the specified point is left of this line when looking at this line along its direction vector.
A point exactly on the line is not considered right of the line.
Returns string representation.
Creates an iterator over this shape.
Add the bounds of this shape to the given bounds.
Bounds where to add this shape's bounds
Gets or sets the line's direction.
Gets or sets the line's origin.
Gets the start point of the line.
Gets the end point of the line.
Does this path contain any segments?
Constructor.
line to iterate over
Move to the next segment.
Get the current segment.
Output of the points of the current segment, array must have at least capacity 3 at
Offset into the array to write the result to
Type of the current segment
Get the type of the current segment.
Type of the current segment
Get the total number of segments.
Return -1 if number is unknown.
Get the total number of points.
Return -1 if number is unknown.
Represents a segment iterator for a collection of shapes.
Initializes a new instance of the class.
Determines whether to add connections between shapes.
Initializes a new instance of the class.
collection of shapes
Determines whether to add connections between shapes.
Creates an iterator for the specified collection.
collection of shapes
Add connections between shapes?
Move to the next segment.
Get the current segment.
Output of the points of the current segment, array must have at least capacity 3 at
Offset into the array to write the result to
Type of the current segment
Get the type of the current segment.
Type of the current segment
Get the total number of segments.
Return -1 if number is unknown.
Get the total number of points.
Return -1 if number is unknown.
Represents a collection of elements.
Initializes a new instance of the class.
Initializes a new instance of the class.
The capacity.
Initializes a new instance of the class.
The collection whose elements are copied to the new list.
is null.
Creates an iterator over this shape.
Add the bounds of this shape to the given bounds.
Bounds where to add this shape's bounds
Does this path contain any segments?
Represents a 2D point struct based on big rationals.
The 2D zero point.
Initializes a new instance of the struct.
Initializes a new instance of the struct.
Adds specified vector to a point and returns the result.
p + v.
Subtracts specified vector from a point and returns the result.
p - v.
Returns the difference point between given points.
a - b.
Gets the mid point of specified 2 points.
See .
See .
Returns a string representation of this object (format: "x, y").
To string conversion is done using the .
Tests whether two specified points are equal.
Tests whether two specified points are not equal.
Adds a vector to a point.
Adds a vector to a point.
Subtracts a vector from a point.
Returns the difference vector between given points.
Returns true if this point is equal to specified point.
Gets a value indicating whether this instance is zero.
Indexer.
Contains utility methods pertaining to 2D triangles.
Returns whether p is contained in the triangle specified by p0, p1, p2.
The triangle points must be in clockwise order!
Returns whether p is contained in the triangle specified by p0, p1, p2.
The point to test.
The triangle's first point.
The triangle's second point.
The triangle's third point.
The on edge flags (only valid when return value is true):
0 is not on an edge,
1 is on the edge starting at p0,
2 is on the edge starting at p1,
4 is on the edge starting at p2.
The triangle points must be in clockwise order!
Returns whether p is contained in the triangle specified by p0, p1, p2.
The point to test.
The triangle's first point.
The triangle's second point.
The triangle's third point.
Index of edge to skip checking (e.g. if it was already checked elsewhere).
Pass 0-2 to skip check a certain edge, or -1 to check all edges.
The on edge flags (only valid when return value is true):
0 is not on an edge,
1 is on the edge starting at p0,
2 is on the edge starting at p1,
4 is on the edge starting at p2.
Index of the edge (between 0 and 2) outside which the point is if the result is false, -1 otherwise.
true if the specified p contains point; otherwise, false.
The triangle points must be in clockwise order!
An event arguments containing a .
An empty event args object.
Initializes a new instance of the class.
Gets the command.
Represents an undoable action.
Represents an undoable command.
Perform a do.
Don't call this directly, but instead call ,
which calls this method and raises an event.
Perform an undo.
Don't call this directly, but instead call ,
which calls this method and raises an event.
Gets the target object of the command.
This is the object that is being affected/changed by the command.
Represents an empty action.
An empty action that doesn't do anything.
Initializes a new instance of the class.
Initializes a new instance of the class.
Perform a do.
Perform an undo.
Gets the target object of the command.
This is the object that is being affected/changed by the command.
Represents a rotate interactor.
The rotation circle color.
Call this method when a mouse button is pressed.
Returns whether this interactor consumed the mouse event.
Call this method when event is raised.
Returns whether this interactor consumed the mouse event.
Call this method when event is raised.
Returns whether this interactor consumed the mouse event.
Gets the rotation circle radius.
When the mouse down occurs outside this circle, the interactor rotates around the z-axis.
Inside the circle the interactor rotates around an axis in the xy plane, perpendicular to the
line segment between the mouse position and the window center.
Get the current state of this interactor for storage.
Complete internal state of this object, allowing to restore the current settings
when the state is restored with method.
Set the current state of this interactor from a previously stored state.
Interactor state as returned by
Reset the state to the default value.
Raises the event.
Occurs when the orientation changed.
Gets or sets the orientation.
Gets the hint to the user about what input the interactor is expecting next.
Represents a Windows Forms drawable for .
Initializes a new instance of the class.
Draws this drawable.
Gets the cursor. Returns null if the cursor should remain unchanged.
Constructor.
Constructor.
Gets the center of the segment.
Gets minus .
Get the line length.
Returns string representation.
See .
See .
Tests whether two specified segments are equal.
Tests whether two specified segments are not equal.
Gets or sets the start point.
Gets or sets the end point.
Constructor. Creates an open polyline.
Constructor. Creates an open polyline.
Constructor. Creates an open polyline.
Constructor. Creates an open polyline.
Constructor.
Get the bounds of this polygon.
Gets the polygon plane.
If a plane could not be determined, then null is returned
(if the polygon only has 2 points or all the points are collinear).
Gets the projection of this polygon using the specified projection transform.
The projection transform.
From the resulting vertices only the x and y-coordinates are used.
The projected 2D polygon.
Gets the centroid (center of mass) of this polygon.
The centroid or null if the polygon has no points.
Gets the centroid (center of mass) and the plane of this polygon.
The centroid or null if the polygon has no points.
Gets the polygon plane of the polygon defined by given points.
If a plane could not be determined, then null is returned
(if the polygon only has 2 points or all the points are collinear).
Gets the projection of a polygon using the specified projection transform.
The polygon vertices.
The projection transform.
From the resulting vertices only the x and y-coordinates are used.
The projected 2D polygon.
Gets the centroid (center of mass) of given polygon.
No check is done to verify that the vertices are coplanar.
The centroid or null if the polygon has no points.
Gets the centroid (center of mass) and the plane of given polygon.
No check is done to verify that the vertices are coplanar.
The centroid or null if the polygon has no points.
Constructor.
The line's origin.
The line's direction.
Constructor.
Returns string representation.
Gets or sets the line's direction.
Gets or sets the line's origin.
2D triangle.
Returns whether p is contained in the triangle specified by p0, p1, p2.
The triangle points must be in clockwise order!
Returns whether p is contained in the triangle specified by p0, p1, p2.
The point to test.
The triangle's first point.
The triangle's second point.
The triangle's third point.
The precision.
The on edge flags (only valid when return value is true):
0 is not on an edge,
1 is on the edge starting at p0,
2 is on the edge starting at p1,
4 is on the edge starting at p2.
The triangle points must be in clockwise order!
This method is slower than the one not taking any precision argument.
Returns whether p is contained in the triangle specified by p0, p1, p2.
The point to test.
The triangle's first point.
The triangle's second point.
The triangle's third point.
Index of edge to skip checking (e.g. if it was already checked elsewhere).
Pass 0-2 to skip check a certain edge, or -1 to check all edges.
The precision.
The on edge flags (only valid when return value is true):
0 is not on an edge,
1 is on the edge starting at p0,
2 is on the edge starting at p1,
4 is on the edge starting at p2.
Index of the edge (between 0 and 2) outside which the point is if the result is false, -1 otherwise.
true if the specified p contains point; otherwise, false.
The triangle points must be in clockwise order!
This method is slower than the one not taking any precision argument.
Returns whether p is contained in the triangle specified by p0, p1, p2.
The triangle points must be in clockwise order!
This method is slower than the one not taking any precision argument.
Constructor.
Constructor.
Gets the center of the segment.
Gets minus .
Get the line length.
Returns string representation.
See .
See .
Tests whether two specified segments are equal.
Tests whether two specified segments are not equal.
Gets or sets the start point.
Gets or sets the end point.
Constructor.
The plane's normal vector.
The distance from the origin projected on the normal vector.
Constructor.
The plane's normal vector.
An arbitrary point on the plane.
Gets the intersection between specified segment and this plane.
If the segment is parallel to plane, and the segment is on this plane then the middle of the segment is returned.
The intersection if there is an intersection. Returns null otherwise.
Gets the intersection between specified segment and this plane.
If the segment is parallel to plane, and the segment is on this plane then the middle of the segment is returned.
The segment to test for intersection.
The intersection point = segment.Start + u * segment.GetDelta().
The intersection if there is an intersection. Returns null otherwise.
Gets the intersection between specified segment and this plane.
If the segment is parallel to plane, and the segment is on this plane then the middle of the segment is returned.
The intersection coefficient u if there is an intersection,
where the intersection point = segment.Start + u * segment.GetDelta().
Returns null otherwise.
Gets the intersection between specified ray and this plane.
If the ray is parallel to plane, and the ray is on this plane then the origin of the ray is returned.
The intersection if there is an intersection. Returns null otherwise.
Gets the intersection between specified ray and this plane.
If the ray is parallel to plane, and the ray is on this plane then the origin of the ray is returned.
The ray to test for intersection.
The intersection point = ray.Origin + u * ray.Direction.
The intersection if there is an intersection. Returns null otherwise.
Gets the intersection between specified ray and this plane.
If the ray is parallel to plane, and the ray is on this plane then the origin of the ray is returned.
The intersection coefficient u if there is an intersection,
where the intersection point = ray.Origin + u * ray.Direction.
Returns null otherwise.
Gets the intersection between specified line and this plane.
If the line is parallel to plane, and the line is on this plane then the origin of the line is returned.
The intersection if there is an intersection. Returns null otherwise.
Gets the intersection between specified line and this plane.
If the line is parallel to plane, and the line is on this plane then the origin of the line is returned.
The line to test for intersection.
The intersection point = line.Origin + u * line.Direction.
The intersection if there is an intersection. Returns null otherwise.
Gets the intersection between specified line and this plane.
If the line is parallel to plane, and the line is on this plane then the origin of the line is returned.
The intersection coefficient u if there is an intersection,
where the intersection point = line.Origin + u * line.Direction.
Returns null otherwise.
Gets or sets the plane's normal vector.
Gets or sets the distance from the origin projected on the normal vector.
Constructor.
The line's origin.
The line's direction.
Constructor.
Returns string representation.
Gets or sets the line's direction.
Gets or sets the line's origin.
Segment iterator which transparently applies a 4D transformation to the segment points of another iteratrór.
Initializes a new instance of the class.
The iterator to be wrapped.
The transformation.
Move to the next segment.
Get the current segment.
Output of the points of the current segment, array must have at least capacity 3 at
Offset into the array to write the result to
Type of the current segment
Get the type of the current segment.
Type of the current segment
Get the total number of segments.
Return -1 if number is unknown.
Get the total number of points.
Return -1 if number is unknown.
This class represents a 2D polygon: a closed plane figure with n sides (in 2D).
This class has methods to:
-
calculate the polygon area (),
-
to test whether a point is inside the polygon (),
-
test whether the polygon is clockwise or not (),
-
do boolean operations (, , ).
Further static methods are also provided to allow to use other data structures than Polygon2BR.
Get the intersection of two given regions.
Each region is defined by a set of polygons.
If a polygon is counter clockwise, it is filled, if it's clockwise it represents a hole.
Polygons of one region may not intersect each other. A polygon may touch itself though.
The outer polygon must always be counter clockwise
(if there are holes, the hole must always be a cutout of a non-hole).
First region, see restrictons above.
Second region, see restrictions above.
The polygons building the intersection of both lists.
This is a simple example of getting the intersection of two regions.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Test {
public class Polygon2BRTest {
public List<Polygon2BR> IntersectionExample() {
// Two polygons where two edges overlap, and two edges intersect.
Polygon2BR p1 = new Polygon2BR(
new Point2BR(1d, 1d),
new Point2BR(2d, 1d),
new Point2BR(2d, 2d),
new Point2BR(1d, 2d)
);
Polygon2BR p2 = new Polygon2BR(
new Point2BR(1.5d, 1.5d),
new Point2BR(2d, 1.6d),
new Point2BR(2d, 3d),
new Point2BR(1d, 3d)
);
List<Polygon2BR> result = Polygon2BR.GetIntersection(new Polygon2BR[] { p1 }, new Polygon2BR[] { p2 });
return result;
}
}
}
Get the difference of two given regions (region2 is subtracted from region1).
Each region is defined by a set of polygons.
If a polygon is counter clockwise, it is filled, if it's clockwise it represents a hole.
Polygons of one region may not intersect each other. A polygon may touch itself though.
The outer polygon must always be counter clockwise
(if there are holes, the hole must always be a cutout of a non-hole).
First region, see restrictons above.
Second region, see restrictions above.
The polygons building the difference of the first minus the second list.
This is a simple example of getting the difference of two regions.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Test {
public class Polygon2BRTest {
public List<Polygon2BR> DifferenceExample() {
// Two polygons where two edges overlap, and two edges intersect.
Polygon2BR p1 = new Polygon2BR(
new Point2BR(1d, 1d),
new Point2BR(2d, 1d),
new Point2BR(2d, 2d),
new Point2BR(1d, 2d)
);
Polygon2BR p2 = new Polygon2BR(
new Point2BR(1.5d, 1.5d),
new Point2BR(2d, 1.6d),
new Point2BR(2d, 3d),
new Point2BR(1d, 3d)
);
List<Polygon2BR> result = Polygon2BR.GetDifference(new Polygon2BR[] { p1 }, new Polygon2BR[] { p2 });
return result;
}
}
}
Get the union of two given regions.
Each region is defined by a set of polygons.
If a polygon is counter clockwise, it is filled, if it's clockwise it represents a hole.
Polygons of one region may not intersect each other. A polygon may touch itself though.
The outer polygon must always be counter clockwise
(if there are holes, the hole must always be a cutout of a non-hole).
First region, see restrictons above.
Second region, see restrictions above.
The polygons building the union of the first and the second region.
This is a simple example of getting the union of two regions.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Test {
public class Polygon2BRTest {
public List<Polygon2BR> UnionExample() {
// Two polygons where two edges overlap, and two edges intersect.
Polygon2BR p1 = new Polygon2BR(
new Point2BR(1d, 1d),
new Point2BR(2d, 1d),
new Point2BR(2d, 2d),
new Point2BR(1d, 2d)
);
Polygon2BR p2 = new Polygon2BR(
new Point2BR(1.5d, 1.5d),
new Point2BR(2d, 1.6d),
new Point2BR(2d, 3d),
new Point2BR(1d, 3d)
);
List<Polygon2BR> result = Polygon2BR.GetUnion(new Polygon2BR[] { p1 }, new Polygon2BR[] { p2 });
return result;
}
}
}
Get the exclusive or (XOR) of two given regions.
Each region is defined by a set of polygons.
If a polygon is counter clockwise, it is filled, if it's clockwise it represents a hole.
Polygons of one region may not intersect each other. A polygon may touch itself though.
The outer polygon must always be counter clockwise
(if there are holes, the hole must always be a cutout of a non-hole).
First region, see restrictons above.
Second region, see restrictions above.
The polygons building the exclusive or of the first and the second region.
This is a simple example of getting the exclusive or of two regions.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Test {
public class Polygon2BRTest {
public List<Polygon2BR> ExclusiveOrExample() {
Polygon2BR polygon1 =
new Polygon2BR(
new Point2BR(2d, 1d),
new Point2BR(5d, 2d),
new Point2BR(4d, 5d),
new Point2BR(1d, 4d)
);
Polygon2BR polygon2 =
new Polygon2BR(
new Point2BR(3d, -1d),
new Point2BR(7d, 1d),
new Point2BR(6d, 4d),
new Point2BR(-1d, 2d)
);
List<Polygon2BR> result = Polygon2BR.GetExclusiveOr(
new Polygon2BR[] { polygon1 },
new Polygon2BR[] { polygon2 }
);
return result;
}
}
}
Initializes a new instance of the class.
Initializes a new instance of the class.
Initializes a new instance of the class.
Initializes a new instance of the class.
Initializes a new instance of the class.
Calculates the centroid of a polygon (also known as the center of mass).
The polygon may not be self intersecting.
The centroid or null if the polygon has no points.
Calculates the centroid of a polygon (also known as the center of mass) and
the area of the polygon.
Clockwise polygons will result in a negative area.
The polygon may not be self intersecting.
The centroid or null if the polygon has no points.
Is this polygon convex?
true if the polygon is convex, false if it is not convex.
Determine if a point is inside of this polygon.
Uses the winding number to compute whether the point is inside the polygon
().
Returns true if the winding number's value is odd.
Gets the number of intersections between a ray and a polygon.
Returns whether the polygon is clockwise.
The polygon may not be self intersecting.
Gets the area of the polygon.
Clockwise polygons will result in a negative area.
The polygon may not be self intersecting.
The area, where clockwise polygons will result in a negative area.
Gets the reverse polygon
(useful to change polygon from clockwise to counter clockwise and vice versa).
Determine if a point is inside a polygon.
Uses the Jordan Curve theorem.
Determine if a point is inside of a set of polygons.
The point.
The polygons enumerator, must enumerate over items of type .
Uses the winding number to compute whether the point is inside the polygons
().
Returns true if the winding number's value is odd.
Determine if a point is inside of a set of polygons.
Uses the winding number to compute whether the point is inside the polygons
().
Returns true if the winding number's value is odd.
Gets the winding number of specified point with respect to specified polygon.
The winding number can be used to determine if a point is inside the polygon using the winding number.
It depends on the definition of inside how this can be done. Useful definitions are
an odd winding number, a positive winding number or a non-zero winding number.
Gets the winding number of specified point with respect to specified polygon.
The winding number can be used to determine if a point is inside the polygon using the winding number.
It depends on the definition of inside how this can be done. Useful definitions are
an odd winding number, a positive winding number or a non-zero winding number.
Gets the number of intersections between a ray and a polygon.
Gets the number of intersections between a ray and a polygon.
Returns whether given polygon is clockwise.
The polygon may not be self intersecting.
Gets the area of the polygon.
Clockwise polygons will result in a negative area.
The polygon may not be self intersecting.
The area, where clockwise polygons will result in a negative area.
Calculates the BigRational area.
Clockwise polygons will result in a negative area.
The polygon may not be self intersecting.
The BigRational area, where clockwise polygons will result in a negative area.
Returns whether given polygon is clockwise.
The polygon may not be self intersecting.
Gets the area of the polygon.
Clockwise polygons will result in a negative area.
The polygon may not be self intersecting.
The area, where clockwise polygons will result in a negative area.
Calculates the BigRational area.
Clockwise polygons will result in a negative area.
The polygon may not be self intersecting.
The BigRational area, where clockwise polygons will result in a negative area.
Calculates the centroid of a polygon (also known as the center of mass).
The polygon may not be self intersecting.
The centroid or null if the polygon has no points.
Calculates the centroid of a polygon (also known as the center of mass) and
the area of the polygon.
Clockwise polygons will result in a negative area.
The polygon may not be self intersecting.
The centroid or null if the polygon has no points.
Creates objects for the given polygon and adds them to the
specified segments.
Calculates the convex hull using the Melkman algorithm (1987).
This method assumes the specified polygon is a simple polygon (i.e. it does not cross itself).
The running time of this algorithm is O(n).
Calculates the convex hull using the Melkman algorithm (1987).
This method assumes the specified polygon is a simple polygon (i.e. it does not cross itself).
The input polygon is expected to be counter clockwise.
The result is counter clockwise.
The running time of this algorithm is O(n).
Does this path contain any segments?
This class contains methods for doing boolean operations on 2D polygons.
The following boolan operations are implemented:
-
Union:
-
Difference:
-
Intersection:
-
Exclusive or (symmetric difference):
Get the union of two given regions.
Each region is defined by a set of polygons.
If a polygon is counter clockwise, it is filled, if it's clockwise it represents a hole.
Polygons of one region may not intersect each other. A polygon may touch itself though.
The outer polygon must always be counter clockwise
(if there are holes, the hole must always be a cutout of a non-hole).
First region, see restrictons above.
Second region, see restrictions above.
This is a simple example of getting the union of two regions.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Test {
public class Polygon2BRTest {
public List<Polygon2BR> UnionExample() {
// Two polygons where two edges overlap, and two edges intersect.
Polygon2BR p1 = new Polygon2BR(
new Point2BR(1d, 1d),
new Point2BR(2d, 1d),
new Point2BR(2d, 2d),
new Point2BR(1d, 2d)
);
Polygon2BR p2 = new Polygon2BR(
new Point2BR(1.5d, 1.5d),
new Point2BR(2d, 1.6d),
new Point2BR(2d, 3d),
new Point2BR(1d, 3d)
);
List<Polygon2BR> result = Polygon2BR.GetUnion(new Polygon2BR[] { p1 }, new Polygon2BR[] { p2 });
return result;
}
}
}
Get the difference of two given regions (region2 is subtracted from region1).
Each region is defined by a set of polygons.
If a polygon is counter clockwise, it is filled, if it's clockwise it represents a hole.
Polygons of one region may not intersect each other. A polygon may touch itself though.
The outer polygon must always be counter clockwise
(if there are holes, the hole must always be a cutout of a non-hole).
First region, see restrictons above.
Second region, see restrictions above.
This is a simple example of getting the difference of two regions.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Test {
public class Polygon2BRTest {
public List<Polygon2BR> DifferenceExample() {
// Two polygons where two edges overlap, and two edges intersect.
Polygon2BR p1 = new Polygon2BR(
new Point2BR(1d, 1d),
new Point2BR(2d, 1d),
new Point2BR(2d, 2d),
new Point2BR(1d, 2d)
);
Polygon2BR p2 = new Polygon2BR(
new Point2BR(1.5d, 1.5d),
new Point2BR(2d, 1.6d),
new Point2BR(2d, 3d),
new Point2BR(1d, 3d)
);
List<Polygon2BR> result = Polygon2BR.GetDifference(new Polygon2BR[] { p1 }, new Polygon2BR[] { p2 });
return result;
}
}
}
Get the intersection of two given regions.
Each region is defined by a set of polygons.
If a polygon is counter clockwise, it is filled, if it's clockwise it represents a hole.
Polygons of one region may not intersect each other. A polygon may touch itself though.
The outer polygon must always be counter clockwise
(if there are holes, the hole must always be a cutout of a non-hole).
First region, see restrictons above.
Second region, see restrictions above.
This is a simple example of getting the intersection of two regions.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Test {
public class Polygon2BRTest {
public List<Polygon2BR> IntersectionExample() {
// Two polygons where two edges overlap, and two edges intersect.
Polygon2BR p1 = new Polygon2BR(
new Point2BR(1d, 1d),
new Point2BR(2d, 1d),
new Point2BR(2d, 2d),
new Point2BR(1d, 2d)
);
Polygon2BR p2 = new Polygon2BR(
new Point2BR(1.5d, 1.5d),
new Point2BR(2d, 1.6d),
new Point2BR(2d, 3d),
new Point2BR(1d, 3d)
);
List<Polygon2BR> result = Polygon2BR.GetIntersection(new Polygon2BR[] { p1 }, new Polygon2BR[] { p2 });
return result;
}
}
}
Get the exclusive or (XOR) of two given regions.
Each region is defined by a set of polygons.
If a polygon is counter clockwise, it is filled, if it's clockwise it represents a hole.
Polygons of one region may not intersect each other. A polygon may touch itself though.
The outer polygon must always be counter clockwise
(if there are holes, the hole must always be a cutout of a non-hole).
First region, see restrictons above.
Second region, see restrictions above.
This is a simple example of getting the exclusive or of two regions.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Test {
public class Polygon2BRTest {
public List<Polygon2BR> ExclusiveOrExample() {
Polygon2BR polygon1 =
new Polygon2BR(
new Point2BR(2d, 1d),
new Point2BR(5d, 2d),
new Point2BR(4d, 5d),
new Point2BR(1d, 4d)
);
Polygon2BR polygon2 =
new Polygon2BR(
new Point2BR(3d, -1d),
new Point2BR(7d, 1d),
new Point2BR(6d, 4d),
new Point2BR(-1d, 2d)
);
List<Polygon2BR> result = Polygon2BR.GetExclusiveOr(
new Polygon2BR[] { polygon1 },
new Polygon2BR[] { polygon2 }
);
return result;
}
}
}
Collect polygon from given start segment.
the start segment of the polygon
the result region to which to add the result polygon
the function to determine whether or not to include a segment
Is used for protecting against endless looping as a safety precaution, just in case
the data causes floating point issues and ends up looping forever.
Givens points were very close together, so replace one by the other.
Find shared points and convert to internal structures.
Adds a vertex at a sorted position.
Gets the vertices.
Represents a vertex.
Returns whether the specified segment is included in the angle
between in and out segment of this vertex.
Gets or sets the incoming segment.
Gets or sets the outgoing segment.
Adds the specified intersection.
If there was already an intersection present with the same parameter or Point,
than the intersection was not added, and the existing intersection is returned.
Calculate the first segment status based on the other region.
Calculate the segment status based on the previous segment and other region.
Events are sorted first along the x-axis, and then along the y-axis.
Represents an event for doing segment-segment intersection using a sweepline algorithm.
Events are sorted first along the x-axis, and then along the y-axis.
Loosely based on bentley-ottman and "line segment intersection" by M. de Berg et al.
TODO:
Remark from the double-precision implementation of this algorithm:
However this implementation doesn't use a balanced search tree for ordering segments along the sweepline
as it would be difficult to circumvent precision issues in case of multiple overlapping line segments.
For big rationals there are no precision issues, so can implement this more accurately.
Adds the specified intersection.
If there was already an intersection present with the same parameter or Point,
than the intersection was not added, and the existing intersection is returned.
If result was null, then intersection is at start or end point.
Gets the parameter (0-1), 0 represents a segments start point, 1 represents
the end point.
A region is a set of polygons.
Determine if a point is inside of a set of polygons.
Uses the winding number to compute whether the point is inside the polygons
().
Returns true if the winding number is greater than zero.
Gets the winding number of specified point.
Calculates the segment status for all segments in this region.
Gets a value indicating whether this is reversed.
Represents a polygon.
The IsInsidePolygons/GetWindingNumber are copied from Polygon2BR and adapted.
Gets the winding number of specified point with respect to specified polygon.
The winding number can be used to determine if a point is inside the polygon using the winding number.
It depends on the definition of inside how this can be done. Useful definitions are
an odd winding number, a positive winding number or a non-zero winding number.
Gets the winding number of specified point with respect to specified polygon.
The winding number can be used to determine if a point is inside the polygon using the winding number.
It depends on the definition of inside how this can be done. Useful definitions are
an odd winding number, a positive winding number or a non-zero winding number.
IBitmap implementation for GDI.
Invalid bitmap.
Initializes a new instance of the class.
The bitmap.
Get the pixel at the given position.
Get the content of this bitmap as an array of RGBA bytes.
RGBA byte array.
Get the bitmap as an image.
Only defined for valid bitmaps.
Image
Performs application-defined tasks associated with freeing, releasing, or resetting unmanaged resources.
2
Load a bitmap from a file.
Bitmap file name.
File name of model loading the bitmap file.
The loaded bitmap, possibly invalid.
Is this bitmap valid?
Get the width of the pixel array.
Get the height of the pixel array.
Represents an undoable command group.
Initializes a new instance of the class.
Initializes a new instance of the class.
Initializes a new instance of the class.
All commands are pushed onto the do stack in reverse order (so they will be executed in order when popped from the do stack).
Initializes a new instance of the class.
All commands are pushed onto the do stack in reverse order (so they will be executed in order when popped from the do stack).
Undoes a single command in this group.
Pops a command from the undo stack, pushes it onto the do stack and then executes it.
This allows a command undoing the next command.
Does a single command in this group.
Pops a command from the do stack, pushes it onto the undo stack and then executes it.
This allows a command doing the next command.
Clears the do and undo stacks.
Perform an undo.
Perform a do.
Gets the do stack.
Gets the undo stack.
Gets the target object of the command.
This is the object that is being affected/changed by the command.
Represents a context for interactor drawables.
Initializes a new instance of the class.
The canvas rectangle (defined in the display coordinate system (DCS)).
For windows forms this corresponds the the .
The projection transform.
If set to true the projection transform flips the orientation (typically if the y-axis of the DCS points down like in Windows Forms).
The background color.
Gets or sets the size of the edit handle.
The default value is 6.
Gets or sets the size of the cross hair.
The default value is 6.
Represents canonical mouse event arguments (platform independent).
Initializes a new instance of the class.
Initializes a new instance of the class.
Initializes a new instance of the class.
Initializes a new instance of the class.
Gets the WCS position.
If the has a value, that is returned, otherwise
the is transformed by the to
calculate the WCS position.
Gets the position in the display coordinate system.
Use the for the WCS position.
Gets or sets the WCS position (WCS stands for world coordinate system).
This is optional.
This can be used for snapping to a coordinate in the WCS.
Gets the click count.
Gets a value indicating whether the left button is down.
Gets a value indicating whether the middle button is down.
Gets a value indicating whether the right button is down.
Gets a value indicating whether the first XButton is down.
Gets a value indicating whether the second XButton is down.
Gets the mouse wheel delta.
Gets the mouse button flags.
2D triangulator that can triangulate polygons with holes.
The polygons may not cross each other.
The algorithm used is a Constrained Delaunay triangulation.
Below is an example demonstrating triangulating a square polygon with a hole in it.
The hole is a smaller square.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Examples {
public class Triangulator2DExample {
public static void Triangulate() {
List<Triangulator2D.Triangle> resultingTriangles = new List<Triangulator2D.Triangle>();
List<Point2D> points = new List<Point2D>();
// Cutout a small rectangle from a bigger rectangle.
Triangulator2D.Triangulate(
new Point2D[][] {
new Point2D[] {
new Point2D(-2d, -2d),
new Point2D(2d, -2d),
new Point2D(2d, 2d),
new Point2D(-2d, 2d)
},
new Point2D[] {
new Point2D(-1d, -1d),
new Point2D(1d, -1d),
new Point2D(1d, 1d),
new Point2D(-1d, 1d)
}
},
resultingTriangles,
points
);
// Show all resulting triangles.
foreach (Triangulator2D.Triangle triangle in resultingTriangles) {
Console.WriteLine(
"({0}), ({1}), ({2})",
points[triangle.I0].ToString(),
points[triangle.I1].ToString(),
points[triangle.I2].ToString()
);
}
}
}
}
This is the output of the triangulation:
(-2, 2), (1, 1), (-1, 1)
(-1, -1), (-2, 2), (-1, 1)
(1, 1), (2, 2), (1, -1)
(-2, 2), (2, 2), (1, 1)
(2, -2), (-1, -1), (1, -1)
(2, 2), (2, -2), (1, -1)
(-1, -1), (-2, -2), (-2, 2)
(2, -2), (-2, -2), (-1, -1)
Triangulates given polygons and returns triangles and points.
The polygons may not cross each other.
The algorithm used is a Constrained Delaunay triangulation.
Uses as precision.
Input. The polygons may not cross each other.
Output triangles, only contains the triangle point indices.
Output points, referred to by the point indices in the output triangles.
Below is an example demonstrating triangulating a square polygon with a hole in it.
The hole is a smaller square.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Examples {
public class Triangulator2DExample {
public static void Triangulate() {
List<Triangulator2D.Triangle> resultingTriangles = new List<Triangulator2D.Triangle>();
List<Point2D> points = new List<Point2D>();
// Cutout a small rectangle from a bigger rectangle.
Triangulator2D.Triangulate(
new Point2D[][] {
new Point2D[] {
new Point2D(-2d, -2d),
new Point2D(2d, -2d),
new Point2D(2d, 2d),
new Point2D(-2d, 2d)
},
new Point2D[] {
new Point2D(-1d, -1d),
new Point2D(1d, -1d),
new Point2D(1d, 1d),
new Point2D(-1d, 1d)
}
},
resultingTriangles,
points
);
// Show all resulting triangles.
foreach (Triangulator2D.Triangle triangle in resultingTriangles) {
Console.WriteLine(
"({0}), ({1}), ({2})",
points[triangle.I0].ToString(),
points[triangle.I1].ToString(),
points[triangle.I2].ToString()
);
}
}
}
}
This is the output of the triangulation:
(-2, 2), (1, 1), (-1, 1)
(-1, -1), (-2, 2), (-1, 1)
(1, 1), (2, 2), (1, -1)
(-2, 2), (2, 2), (1, 1)
(2, -2), (-1, -1), (1, -1)
(2, 2), (2, -2), (1, -1)
(-1, -1), (-2, -2), (-2, 2)
(2, -2), (-2, -2), (-1, -1)
Triangulates given polygons and returns triangles and points.
Input. The polygons may not cross each other.
Output triangles, only contains the triangle point indices.
Output points, referred to by the point indices in the output triangles.
The precision.
The polygons may not cross each other.
The algorithm used is a Constrained Delaunay triangulation.
Below is an example demonstrating triangulating a square polygon with a hole in it.
The hole is a smaller square.
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Examples {
public class Triangulator2DExample {
public static void Triangulate() {
List<Triangulator2D.Triangle> resultingTriangles = new List<Triangulator2D.Triangle>();
List<Point2D> points = new List<Point2D>();
// Cutout a small rectangle from a bigger rectangle.
Triangulator2D.Triangulate(
new Point2D[][] {
new Point2D[] {
new Point2D(-2d, -2d),
new Point2D(2d, -2d),
new Point2D(2d, 2d),
new Point2D(-2d, 2d)
},
new Point2D[] {
new Point2D(-1d, -1d),
new Point2D(1d, -1d),
new Point2D(1d, 1d),
new Point2D(-1d, 1d)
}
},
resultingTriangles,
points
);
// Show all resulting triangles.
foreach (Triangulator2D.Triangle triangle in resultingTriangles) {
Console.WriteLine(
"({0}), ({1}), ({2})",
points[triangle.I0].ToString(),
points[triangle.I1].ToString(),
points[triangle.I2].ToString()
);
}
}
}
}
This is the output of the triangulation:
(-2, 2), (1, 1), (-1, 1)
(-1, -1), (-2, 2), (-1, 1)
(1, 1), (2, 2), (1, -1)
(-2, 2), (2, 2), (1, 1)
(2, -2), (-1, -1), (1, -1)
(2, 2), (2, -2), (1, -1)
(-1, -1), (-2, -2), (-2, 2)
(2, -2), (-2, -2), (-1, -1)
Triangulates given point set and polylines.
The input points.
Represents polylines of fixed edges. May be empty or null.
Each integer is an index in the inputPoints.
The output triangles.
The polygons may not cross each other.
The algorithm used is a Constrained Delaunay triangulation.
This method may skip points that are very close together, in that case also the point index lists are modified.
Below is an example demonstrating triangulating five points resulting in three triangles.
The second triangulation is the same as the first one, but with one edge fixed (which forces more skinny triangles in this particular case).
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Examples {
public class Triangulator2DExample2 {
public static void Triangulate() {
List<Triangulator2D.Triangle> resultingTriangles = new List<Triangulator2D.Triangle>();
Point2D[] points = new Point2D[] {
new Point2D(-2d, -2d),
new Point2D(2d, -2d),
new Point2D(4d, 0d),
new Point2D(2d, 2d),
new Point2D(-2d, 2d)
};
// Triangulate without fixed edges.
Triangulator2D.Triangulate(
points,
null,
resultingTriangles,
1e-6d
);
// Show all resulting triangles.
Console.WriteLine("Triangulation result:");
foreach (Triangulator2D.Triangle triangle in resultingTriangles) {
Console.WriteLine(
"({0}), ({1}), ({2})",
points[triangle.I0].ToString(),
points[triangle.I1].ToString(),
points[triangle.I2].ToString()
);
}
resultingTriangles.Clear();
// Triangulate with one fixed edge.
Triangulator2D.Triangulate(
points,
new ushort[][] { new ushort[] { 0, 2 } },
resultingTriangles,
1e-6d
);
// Show all resulting triangles.
Console.WriteLine("Triangulation result:");
foreach (Triangulator2D.Triangle triangle in resultingTriangles) {
Console.WriteLine(
"({0}), ({1}), ({2})",
points[triangle.I0].ToString(),
points[triangle.I1].ToString(),
points[triangle.I2].ToString()
);
}
}
}
}
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Examples {
public class Triangulator2DExample2 {
public static void Triangulate() {
List<Triangulator2D.Triangle> resultingTriangles = new List<Triangulator2D.Triangle>();
Point2D[] points = new Point2D[] {
new Point2D(-2d, -2d),
new Point2D(2d, -2d),
new Point2D(4d, 0d),
new Point2D(2d, 2d),
new Point2D(-2d, 2d)
};
// Triangulate without fixed edges.
Triangulator2D.Triangulate(
points,
null,
resultingTriangles,
1e-6d
);
// Show all resulting triangles.
Console.WriteLine("Triangulation result:");
foreach (Triangulator2D.Triangle triangle in resultingTriangles) {
Console.WriteLine(
"({0}), ({1}), ({2})",
points[triangle.I0].ToString(),
points[triangle.I1].ToString(),
points[triangle.I2].ToString()
);
}
resultingTriangles.Clear();
// Triangulate with one fixed edge.
Triangulator2D.Triangulate(
points,
new ushort[][] { new ushort[] { 0, 2 } },
resultingTriangles,
1e-6d
);
// Show all resulting triangles.
Console.WriteLine("Triangulation result:");
foreach (Triangulator2D.Triangle triangle in resultingTriangles) {
Console.WriteLine(
"({0}), ({1}), ({2})",
points[triangle.I0].ToString(),
points[triangle.I1].ToString(),
points[triangle.I2].ToString()
);
}
}
}
}
This is the output of the first triangulation:
(2, 2), (-2, -2), (-2, 2)
(2, 2), (4, 0), (2, -2)
(2, -2), (-2, -2), (2, 2)
This is the output of the second triangulation:
(-2, -2), (4, 0), (2, -2)
(4, 0), (-2, -2), (2, 2)
(2, 2), (-2, -2), (-2, 2)
Triangulates given point set and polylines.
The input points.
Represents polylines of fixed edges. May be empty or null.
Each integer is an index in the inputPoints.
The output triangles.
The precision.
The polygons may not cross each other.
The algorithm used is a Constrained Delaunay triangulation.
This method may skip points that are very close together, in that case also the point index lists are modified.
Below is an example demonstrating triangulating five points resulting in three triangles.
The second triangulation is the same as the first one, but with one edge fixed (which forces more skinny triangles in this particular case).
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Examples {
public class Triangulator2DExample2 {
public static void Triangulate() {
List<Triangulator2D.Triangle> resultingTriangles = new List<Triangulator2D.Triangle>();
Point2D[] points = new Point2D[] {
new Point2D(-2d, -2d),
new Point2D(2d, -2d),
new Point2D(4d, 0d),
new Point2D(2d, 2d),
new Point2D(-2d, 2d)
};
// Triangulate without fixed edges.
Triangulator2D.Triangulate(
points,
null,
resultingTriangles,
1e-6d
);
// Show all resulting triangles.
Console.WriteLine("Triangulation result:");
foreach (Triangulator2D.Triangle triangle in resultingTriangles) {
Console.WriteLine(
"({0}), ({1}), ({2})",
points[triangle.I0].ToString(),
points[triangle.I1].ToString(),
points[triangle.I2].ToString()
);
}
resultingTriangles.Clear();
// Triangulate with one fixed edge.
Triangulator2D.Triangulate(
points,
new ushort[][] { new ushort[] { 0, 2 } },
resultingTriangles,
1e-6d
);
// Show all resulting triangles.
Console.WriteLine("Triangulation result:");
foreach (Triangulator2D.Triangle triangle in resultingTriangles) {
Console.WriteLine(
"({0}), ({1}), ({2})",
points[triangle.I0].ToString(),
points[triangle.I1].ToString(),
points[triangle.I2].ToString()
);
}
}
}
}
using System;
using System.Collections.Generic;
using System.Text;
using WW.Math;
using WW.Math.Geometry;
namespace WW.Examples {
public class Triangulator2DExample2 {
public static void Triangulate() {
List<Triangulator2D.Triangle> resultingTriangles = new List<Triangulator2D.Triangle>();
Point2D[] points = new Point2D[] {
new Point2D(-2d, -2d),
new Point2D(2d, -2d),
new Point2D(4d, 0d),
new Point2D(2d, 2d),
new Point2D(-2d, 2d)
};
// Triangulate without fixed edges.
Triangulator2D.Triangulate(
points,
null,
resultingTriangles,
1e-6d
);
// Show all resulting triangles.
Console.WriteLine("Triangulation result:");
foreach (Triangulator2D.Triangle triangle in resultingTriangles) {
Console.WriteLine(
"({0}), ({1}), ({2})",
points[triangle.I0].ToString(),
points[triangle.I1].ToString(),
points[triangle.I2].ToString()
);
}
resultingTriangles.Clear();
// Triangulate with one fixed edge.
Triangulator2D.Triangulate(
points,
new ushort[][] { new ushort[] { 0, 2 } },
resultingTriangles,
1e-6d
);
// Show all resulting triangles.
Console.WriteLine("Triangulation result:");
foreach (Triangulator2D.Triangle triangle in resultingTriangles) {
Console.WriteLine(
"({0}), ({1}), ({2})",
points[triangle.I0].ToString(),
points[triangle.I1].ToString(),
points[triangle.I2].ToString()
);
}
}
}
}
This is the output of the first triangulation:
(2, 2), (-2, -2), (-2, 2)
(2, 2), (4, 0), (2, -2)
(2, -2), (-2, -2), (2, 2)
This is the output of the second triangulation:
(-2, -2), (4, 0), (2, -2)
(4, 0), (-2, -2), (2, 2)
(2, 2), (-2, -2), (-2, 2)
Triangulates given point set and polylines.
The input points.
Represents polylines of fixed edges. May be empty or null.
Each integer is an index in the inputPoints.
The output triangles.
The precision.
if set to true removes super triangles when finished triangulating.
The polygons may not cross each other.
The algorithm used is a Constrained Delaunay triangulation.
This method may skip points that are very close together, in that case also the point index lists are modified.
Filter all outside triangles.
Assumes the 3 super triangle points are included in the specified points.
Filter all outside and odd regions.
Assumes the 3 super triangle points are included in the specified points.
Filter out all triangles except outer triangles remain.
Assumes the 3 super triangle points are included in the specified points.
Adds point to CDT.
Returns the point index of the point itself if added,
or if it is approximately equal to another point, it returns the index of that point instead, and the given
point is not added.
Adds point to CDT.
Returns the point index of the point itself if added,
or if it is approximately equal to another point, it returns the index of that point instead, and the given
point is not added.
Adds an edge.
Calculates the super triangle from given points
(adds three points to given point collection).
Triangulate pseudo polygon.
Note that the polygon created by
p0, p1 and polygonPoints is expected to be clockwise!
Swap edges.
Either removes 1 triangle from or adds 1 triangle to the sweep line triangles.
Vertices are ordered clock wise for quick inside triangle testing.
Triangle vertex indices.
Triangle vertex indices.
Triangle vertex indices.
Edges (edge 0 starts with vertex 0, ends at vertex 1, etc).
The fix count represents how many times an edge was fixed.
If 3 polygons share the same edge, then that shared edge was fixed 3 times.
Edges (edge 0 starts with vertex 0, ends at vertex 1, etc).
The fix count represents how many times an edge was fixed.
If 3 polygons share the same edge, then that shared edge was fixed 3 times.
Edges (edge 0 starts with vertex 0, ends at vertex 1, etc).
The fix count represents how many times an edge was fixed.
If 3 polygons share the same edge, then that shared edge was fixed 3 times.
Neighbour 0 is associated with edge 0, etc.
Neighbour 0 is associated with edge 0, etc.
Neighbour 0 is associated with edge 0, etc.
Constructor.
Constructor. Input triangle vertices must be ordered clockwise!
Constructor (makes the triangle vertices ordered clockwise).
Intialization. Input triangle vertices must be ordered clockwise!
Intialization. Input triangle vertices must be ordered clockwise!
Replace this triangle by 3 new triangles.
Replace this triangle by 3 new triangles.
Creates 2 triangles such of the new triangles 2 of the 3 edges remain at the same index.
The sweep triangle point always remains at index 0.
The 2 triangles are created in clockwise order along the divided edge.
Replace neighbour at edge with given start point with specified triangle.
Try to replace neighbour. Note that e0 and e1 must be in clockwise direction.
Algorithm based on barycentric coordinates.
(see http://www.ddj.com/184404201, Dr Dobbs, Triangle Intersection Tests).
Just keeping this method for future reference.
(Is about 50% slower than the method using three outside tests).
Gets opposite triangle.
Gets whether the opposite edge is fixed.
Returns whether point is in circle that goes
through all three points of this triangle.
Returns whether point is in circle through points a, b and c.
This is often called the inCircle test in literature.
Note that points a, b and c MUST be in clockwise order
(otherwise sign of the determinant changes).
Get the four points of the 2 opposing triangles.
Get next point with adjacent edge info.
Also makes the edge in the neighbour triangle fixed.
Make edge starting at given point fixed.
Gets the angular distance for specified angle from clockwise arc with specified start/end angles.
All arguments must be in the range 0 .. 2 * pi.
Returns the closest distance to either start/end angle. Returns a negative value
if the angle is inside the angle range, or a positive value if outside the angle range.
Check of 2 lines segments intersect (first segment is treated as ray (i.e. semi infinite from a point)).
Gets or sets the first point index.
Gets or sets the second point index.
Gets or sets the third point index.
Gets or sets the whether first edge is fixed (the edge starting with the first point).
Gets or sets the whether second edge is fixed (the edge starting with the second point).
Gets or sets the whether third edge is fixed (the edge starting with the third point).
Gets a value indicating whether edge 0 has an odd fix count,
i.e. if 3 then edge 0 was fixed 3 times, this could happen when
3 polylines run over this edge.
Depending on the definition of inside/outside, when odd, the edge is a transition from inside to outside,
when even, both sides are either inside/outside.
Gets a value indicating whether edge 1 has an odd fix count,
i.e. if 3 then edge 0 was fixed 3 times, this could happen when
3 polylines run over this edge.
Depending on the definition of inside/outside, when odd, the edge is a transition from inside to outside,
when even, both sides are either inside/outside.
Gets a value indicating whether edge 2 has an odd fix count,
i.e. if 3 then edge 0 was fixed 3 times, this could happen when
3 polylines run over this edge.
Depending on the definition of inside/outside, when odd, the edge is a transition from inside to outside,
when even, both sides are either inside/outside.
Gets or sets the filter status.
An optionally closed polyline.
Constructor.
Constructor.
Constructor.
Constructor.
Constructor. Creates an open polyline.
Constructor. Creates an open polyline.
Constructor. Creates an open polyline.
Constructor. Creates an open polyline.
Constructor.
Gets the reverse polyline.
Offsets the specified polyline by a specified distance.
Each line segment is offset to the right (if distance is positive).
Creates a new polyline using a subset of the specified points.
Creates a new polyline using a subset of the specified points.
Gets the total length.
Gets the total length of the polyline defined by specified points.
Creates an iterator over this shape.
Add the bounds of this shape to the given bounds.
Bounds where to add this shape's bounds
Gets the number of intersections between a ray and a polyline.
Gets the number of intersections between a ray and a polyline.
Does this path contain any segments?
Segment iterator only for open polylines.
Move to the next segment.
Get the current segment.
Output of the points of the current segment, array must have at least capacity 3 at
Offset into the array to write the result to
Type of the current segment
Get the type of the current segment.
Type of the current segment
Get the total number of segments.
Return -1 if number is unknown.
Get the total number of points.
Return -1 if number is unknown.
Gets or sets the origin.
Gets or sets the x-axis of the rectangle. The length of the vector
determines the length of the rectangle in the direction of this vector.
Gets or sets the y-axis of the rectangle. The length of the vector
determines the length of the rectangle in the direction of this vector.
An empty oriented rectangle.
Initializes a new instance of the struct.
Converts this rectangle to a polygon (counter clockwise).
Returns whether the border of this rectangle contains the specified point.
Returns whether the border of this rectangle contains the specified point.
Gets the top left point (origin + y-axis).
Gets the bottom right point (origin + x-axis).
Gets the top right point (origin + x-axis + y-axis).
The x-coordinate.
The y-coordinate.
The z-coordinate.
3D zero vector.
3D X-Axis vector.
3D Y-Axis vector.
3D Z-Axis vector.
Initializes this vector with given coordinates.
Initializes this vector with given coordinates.
Initializes this vector with given 2D vector and z-coordinate.
Initializes this vector with given coordinates.
Initializes this vector with given coordinates.
Initializes this vector with coordinates from given source vector.
Initializes this vector with coordinates from given source point.
Adds given vectors.
Subtracts given vectors.
u - p.
Divides a vector by a scalar.
Multiplies a vector by a scalar.
Calculates the dot product of two vectors.
Calculates the cross product of two vectors.
Negates a vector.
Returns true if vectors are perpendicular.
Returns the vector between vector a and projection of a to direction of b.
Returns the squared length of the vector.
The squared length of the vector. (X*X + Y*Y + Z*Z)
Determines whether this vector contains a NaN coordinate.
See .
See .
Returns a string representation of this object (format: "x, y, z").
To string conversion is done using the .
Tests whether two specified vectors are equal.
Tests whether two specified vectors are not equal.
Negates the values of the vector.
Adds two vectors.
Subtracts a vector from a vector.
Multiplies a vector by a scalar.
Multiplies a vector by a scalar.
Divides a vector by a scalar.
Converts the vector to an array of BigRational precision floating point values.
Converts given 2D vector to a 3D vector as follows:
result = new Vector3BR(v.X, v.Y, BigRational.Zero);
Converts given 4D vector to a 3D point as follows:
result = new Vector3BR(p.X, p.Y, p.Z);
It's assumed that p.W is equal to zero, but this is not enforced.
Converts given 3D point to a 3D vector.
Converts given 3D BigRational precision vector to a 3D single precision vector.
Returns true if this vector is equal to specified vector.
Gets a value indicating whether this instance is zero.
Indexer.
Converts a to and from string representation.
Returns whether this converter can convert an object of the given type to the type of this converter, using the specified context.
Returns whether this converter can convert the object to the specified type, using the specified context.
Converts the given value object to the specified type, using the specified context and culture information.
Converts the given object to the type of this converter, using the specified context and culture information.
Failed parsing from string.
Returns whether this object supports a standard set of values that can be picked from a list.
true if should be called to find a common set of values the object supports; otherwise, false.
Returns a collection of standard values for the data type this type converter is designed for when provided with a format context.
A that holds a standard set of valid values, or a null reference (Nothing in Visual Basic) if the data type does not support a standard set of values.
Use this object to invoke commands.
This always subscribers to be notified when a command is executed,
including its nested commands when e.g. a is executed.
Performs a do on the specified command and calls .
Performs an undo on the specified command and calls .
Raises the event.
Raises the event.
Occurs when a command is done.
Occurs when a command is undone.
Constructor.
Constructor.
Constructor.
Constructor.
Constructor. Creates an open polyline.
Constructor. Creates an open polyline.
Constructor. Creates an open polyline.
Constructor. Creates an open polyline.
Constructor.
Constructor.
Gets the reverse polyline.
Creates a new polyline using a subset of the specified points.
Creates a new polyline using a subset of the specified points.
Gets the total length.
Gets the total length of the polyline defined by specified points.
Gets or sets the origin.
Gets or sets the x-axis of the box. The length of the vector
determines the length of the box in the direction of this vector.
Gets or sets the y-axis of the box. The length of the vector
determines the length of the box in the direction of this vector.
Gets or sets the z-axis of the box. The length of the vector
determines the length of the box in the direction of this vector.
An empty oriented box.
Initializes a new instance of the struct.
Represents an empty shape.
The null shape instance.
Creates an iterator over this shape.
It is expected that the returned iterator represents a snapshot of the shape's
state as it is when the iterator is created via this property, i.e. changes
which are applied to the shape after the iterator is constructed are not expected to be
reflected by the iterator itself.
Add the bounds of this shape to the given bounds.
Bounds where to add this shape's bounds
Does this path contain any segments?
A general shape which can contain all kinds of segments.
As a special optimization which makes iterating over a
general shape a cheap operation an object of this class
can be fixated (see and ).
If this is done, no further changes are allowed to it.
If a change is tried, an
will be thrown.
Array of coordinates (possibly longer than necessary).
Number of coordinates really used.
Array of segment types (possibly longer than necessary).
Number of segment types really used.
Is this shape fixed?
Number of quad segments (optimization for conversion to GraphicsPath).
Copy constructor copying only a part of the original shape.
Original shape.
Start segment index.
End segment index(not copied).
Start coordinate index.
End coordinate index (not copied).
Initializes a new instance of the class.
Initializes a new instance of the class.
Initializes a new instance of the class.
The initial segment capacity.
The initial point capacity.
Initializes a new instance of the class.
The initial segment capacity.
The initial point capacity.
The fill mode.
Initializes a new instance of the class.
Segment iterator from which the shape is created.
Initializes a new instance of the class.
Segment iterator from which the shape is created.
Fixate this shape? See
Initializes a new instance of the class.
Segment iterator from which the shape is created.
The transformation to use in the iterator.
Fixate this shape? See
Initializes a new instance of the class.
Segment iterator from which the shape is created.
The transformation to use in the iterator.
Initializes a new instance of the class.
Segment iterator from which the shape is created.
The transformation to use in the iterator.
Fixate this shape? See
Initializes a new instance of the class.
Segment iterator from which the shape is created.
The transformation to use in the iterator.
Initializes a new instance of the class.
Segment iterator from which the shape is created.
The transformation to use in the iterator.
Fixate this shape? See
Initializes a new instance of the class.
Segment iterator from which the shape is created.
The transformation to use in the iterator.
Initializes a new instance of the class.
Shape which is copied.
Initializes a new instance of the class.
Shape which is copied.
Fixate this shape? See
Initializes a new instance of the class.
Shape which is copied.
The transformation to be applied.
Initializes a new instance of the class.
Shape which is copied.
The transformation to be applied.
Fixate this shape? See
Initializes a new instance of the class.
Shape which is copied.
The transformation to be applied.
Initializes a new instance of the class.
Shape which is copied.
The transformation to be applied.
Fixate this shape? See
Initializes a new instance of the class.
Shape which is copied.
The transformation to be applied.
Initializes a new instance of the class.
Shape which is copied.
The transformation to be applied.
Fixate this shape? See
Appends a shape via its iterator.
The iterator.
if set to true connect the shape using a lineto segment.
Appends a shape via its iterator, while applying a transformation.
The iterator.
if set to true connect the shape using a lineto segment.
The transformation.
Appends a shape via its iterator, while applying a transformation.
The iterator.
if set to true connect the shape using a lineto segment.
The transformation.
Appends a shape via its iterator, while applying a transformation.
The iterator.
if set to true connect the shape using a lineto segment.
The transformation.
Appends a shape.
The shape.
if set to true connect the shape using a lineto segment.
Appends a shape.
The shape.
if set to true connect the shape using a lineto segment.
The transformation.
Appends a shape.
The shape.
if set to true connect the shape using a lineto segment.
The transformation.
Appends a shape.
The shape.
if set to true connect the shape using a lineto segment.
The transformation.
Transforms all coordinates by the given transformation.
The transformation.
Transforms all coordinates by the given transformation.
The transformation.
Transforms all coordinates by the given transformation.
The transformation.
Add a moveto segment.
The x coordinate.
The y coordinate.
Add a moveto segment.
The point to move to
Add a lineto segment.
The x coordinate.
The y coordinate.
Add a lineto segment.
The point to draw a line to
Add a quadratic bezier spline segment.
The current point becomes the first control point of the segment.
The x coordinate of the second control point.
The y coordinate of the second control point.
The x coordinate of the third control point.
The y coordinate of the third control point.
Add a quadratic bezier spline segment.
The current point becomes the first control point of the segment.
The second control point.
The third control point.
Add a cubic bezier spline segment.
The current point becomes the first control point of the segment.
The x coordinate of the second control point.
The y coordinate of the second control point.
The x coordinate of the third control point.
The y coordinate of the third control point.
The x coordinate of the fourth control point.
The y coordinate of the fourth control point.
Add a cubic bezier spline segment.
The current point becomes the first control point of the segment.
The second control point.
The third control point.
The fourth control point.
Close the current subpath.
Adds the point (simulated by a move to and a line to).
Add 4 cubic spline segments approximating a circle.
Adds a square.
Get the segment type at a given index.
The index.
The segment type at the given index.
If there no segment with the given index.
Get the coordinate at a given index.
The index.
The coordinate at the given index.
If there no point with the given index.
Shrinks the internal data to the necessary minimum.
Set this shape into fixed state.
In fixed state it is no longer possible to change this shape,
which allows for optimizations for iterators. Therefore it's
a good idea to set shapes to fixed when it is clear that they
are no longer changed. There is no way to "unfixate" a once
fixed shape other then to append it to another
.
Shrink this shape, then set it into fixed state.
Calling this method is a good idea for longer living shapes after
they are constructed.
Split this shape into unbroken sub shapes.
Each of the sub shapes will only contain one MoveTo segment.
Array of fixed unbroken sub shapes.
Creates an iterator over this shape.
Add the bounds of this shape to the given bounds.
Bounds where to add this shape's bounds
Converts a GeneralShape into a Windows GraphicsPath.
The shape.
A Windows GraphicsPath.
Converts this GeneralShape into a Windows GraphicsPath.
A Windows GraphicsPath.
Converts a Windows GraphicsPath into a GeneralShape.
The shape.
A Windows GraphicsPath.
Converts a Windows GraphicsPath into a GeneralShape.
The graphics path.
The transform to be applied to the graphics path.
A Windows GraphicsPath.
Forget the last segment if it is a moveto.
Ensures the capacity for one segment and the given number of points.
The number of points.
Ensures the capacity for the given number of segments and the given number of points.
The number of segments
The number of points.
Apply a transformation to the specified interval.
The transformation.
The start of the interval.
The end after the interval.
Apply a transformation to the specified interval.
The transformation.
The start of the interval.
The end after the interval.
Apply a transformation to the specified interval.
The transformation.
The start of the interval.
The end after the interval.
Get the number of segments in this path.
Get the number of coordinates in this path.
Get the current point in this path.
If there is no segment in this path, compare
Get the first point in this path.
If there is no segment in this path, compare
Is this path in fixed state?
Gets the coordinates.
Gets the segment types.
Gets or sets the fill mode.
The default value is FillMode.Alternate.
Does this path contain any segments?
Iterator over the shape.
Move to the next segment.
Get the current segment.
Output of the points of the current segment, array must have at least capacity 3 at
Offset into the array to write the result to
Type of the current segment
Get the type of the current segment.
Type of the current segment
Get the total number of segments.
Return -1 if number is unknown.
Get the total number of points.
Return -1 if number is unknown.
Represents a 2D vector struct based on big rationals.
The 2D zero vector.
2D X-Axis vector.
2D Y-Axis vector.
Initializes a new instance of the struct.
Initializes a new instance of the struct.
Adds given vectors.
Subtracts given vectors.
u - p.
Divides a vector by a scalar.
Multiplies a vector by a scalar.
Calculates the dot product of two vectors.
Calculate the cross product of two vectors.
first vector
second vector
cross product
Negates a vector.
Returns the squared length of the vector.
The squared length of the vector. (X*X + Y*Y)
Compares the angles of the two specified vectors.
Gets the quadrant (0-3) in which the vector lies.
On edge cases the quandrant on the positive x/y-axis is chosen.
See .
See .
Returns a string representation of this object (format: "x, y").
To string conversion is done using the .
Tests whether two specified vectors are equal.
Tests whether two specified vectors are not equal.
Negates the values of the vector.
Adds two vectors.
Subtracts a vector from a vector.
Multiplies a vector by a scalar.
Multiplies a vector by a scalar.
Divides a vector by a scalar.
Converts the vector to an array of BigRational precision floating point values.
Converts given 2D point to a 2D vector.
Returns true if this vector is equal to specified vector.
Gets a value indicating whether this instance is zero.
Indexer.
A 2D big rational based ray consisting of a and a .
The ray is represented by
x(t) = + t *
where t may have any value.
If used as a shape the ray is the representation of the parameter interval [0,1].
Initializes a new instance of the struct.
The ray's origin.
The ray's direction.
Initializes a new instance of the struct.
Calculates if 2 lines intersect.
Other ray for testing intersection.
Resulting intersection if there is one, null otherwise.
If lines intersect, then this parameter indicates whether the
lines are parallel.
In this case parameter intersection contains no valid value.
Calculate intersection parameters between two lines.
Line a.
Line b.
p, is null if there is no intersection or if the lines are parallel or if a has a zero direction.
q, is null if there is no intersection or if the lines are parallel or if b has a zero direction.
Whether the two lines are parallel.
whether the two lines intersect.
The results is the solution of equation
.Origin + p * .Direction =
.Origin + q * .Direction.
Calculate intersection point between a ray and a segment.
Calculate intersection point between a ray and a segment.
Line a.
Segment b.
p has value between 0 and 1 when there is 1 intersection.
When the ray and segment are parallel or if a has a zero direction, then p is set to null.
q has value between 0 and 1 when there is 1 intersection.
When the ray and segment are parallel or if b has a zero length, then q is set to null.
is set to true when the ray and segment are parallel.
whether the ray and segment intersect.
The results is the solution of equation
.Origin + p * .Direction =
.Start + q * .GetDelta().
Returns whether given point is on this ray.
Returns the smallest squared distance between the ray
and specified point.
Returns the point on this ray that is closest to the specified point.
Gets the least squares fit ray given specified set of points.
The least squares fit minimizes the vertical distance of the specified points to
the best fitting ray.
Thrown when number of points is less than two.
Returns string representation.
Gets or sets the ray's direction.
Gets or sets the ray's origin.
Represents a little endian bit converter.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Converts the specified bytes to a .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to a .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Contains utility methods for streaming.
Forward all data in the source stream to the target stream.
The source stream position is moved back to its original position afterwards.
In case the source is a or ,
then the forwarding is done more efficiently by directly making use of their internal byte buffers.
Otherwise the forwarding is done by reading page by page into a temporary byte buffer and writing
each page to the target.
Forward data of specified length in the source stream to the target stream.
The source stream position is moved back to its original position afterwards.
In case the source is a or ,
then the forwarding is done more efficiently by directly making use of their internal byte buffers.
Otherwise the forwarding is done by reading page by page into a temporary byte buffer and writing
each page to the target.
A collection of compression utility methods.
Gets a zip stream from specified stream.
Chooses the first zip entry for which the specified zip entry filter returns true.
Gets a gzip stream from specified stream.
Gets a tar stream from specified stream.
Chooses the first tar entry for which the specified tar entry filter returns true.
Gets a bzip2 stream from specified stream.
Stream the contents of specified input stream into a memory stream in case random access to the stream is needed.
Represents a big endian bit converter.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Converts the specified bytes to a .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to a .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Represent a rotation interactor for 2D rotations around the view axis.
Call this method when a mouse button is pressed.
Returns whether this interactor consumed the mouse event.
Call this method when the mouse moves.
Returns whether this interactor consumed the mouse event.
Call this method when a mouse button is released.
Returns whether this interactor consumed the mouse event.
Get the current state of this interactor for storage.
Complete internal state of this object, allowing to restore the current settings
when the state is restored with method.
Set the current state of this interactor from a previously stored state.
Interactor state as returned by
Reset the state to the default value.
Raises the event.
Occurs when the orientation changed.
Gets or sets the rotation angle.
The angle is measured in radians in counterclockwise direction.
Represents a transaction (containing commands) that can be committed or rolled back.
Adds the specified command.
Commits this transaction.
Rollbacks this instance.
Wout Ware constants.
The software release date string.
The software version x.y.
The full version a.b.x.y, where a.b. is the .NET framework version.
Double-precision interval.
Initializes a new instance of the class
with given values and closed ends.
Initializes a new instance of the class
with given values and closed ends.
Returns whether this interval is equal to given object.
Returns the hashcode.
Returns true when interval contains given value.
Returns true when interval overlaps given interval.
Restrict a value to an interval.
value to restrict, will be mapped to if smaller
and if larger, otherwise be left untouched
minimal allowed value
maximal allowed value
value restricted to interval
Gets or sets the minimum.
Gets or sets whether the minimum is closed.
Gets or sets the maximum.
Gets or sets whether the maximum is closed.
Gets the difference between and .
Constructor.
Constructor.
Constructor.
Constructor.
Constructor. Creates an open polyline.
Constructor. Creates an open polyline.
Constructor. Creates an open polyline.
Constructor. Creates an open polyline.
Constructor.
Gets the reverse polyline.
Creates a new polyline using a subset of the specified points.
Creates a new polyline using a subset of the specified points.
Gets the total length.
Map this to a 3D polyline.
3D polyline.
Map this to a 2D polyline.
3D polyline.
Gets the total length of the polyline defined by specified points.
Represents the class counterpart of the struct.
The x-coordinate.
The y-coordinate.
Initializes this point with given coordinates.
Initializes this point with given coordinates.
Initializes this point with given coordinates.
Initializes this point with coordinates from given source point.
Initializes this point with coordinates from given source point.
Adds specified vector to a point and returns the result.
p + v.
Subtracts specified vector from a point and returns the result.
p - v.
Returns the difference point between given points.
a - b.
Tests whether two points are approximately equal using default tolerance value.
if the two points are approximately equal; otherwise, .
Tests whether two points are approximately equal given a tolerance value.
Point 1.
Point 2.
The tolerance value used to test approximate equality.
if the two points are approximately equal; otherwise, .
Adds specified vector to this point.
Subtracts vector from this point.
Creates a instance from this point.
See .
See .
Returns a string representation of this object (format: "x, y").
To string conversion is done using the .
Parse given string (format: "x,y").
Parsing is done using the .
is thrown when the string could not be parsed.
Tests whether two specified points are equal.
Tests whether two specified points are not equal.
Adds a vector to a point.
Adds a vector to a point.
Subtracts a vector from a point.
Returns the difference vector between given points.
Converts the point to an array of double precision floating point values.
Converts given 3D point to a 2D point as follows:
result = new Point2D(p.X, p.Y);
Converts given 4D vector to a 2D point as follows:
result = new Point2D(p.X / p.W, p.Y / p.W);
This conversion only works if p.W is unequal to zero.
(when equal to zero the vector represents a direction).
Converts given 2D vector to a 2D point.
Returns true if this point is equal to specified point.
Indexer.
Represents a list of 4D transformers.
The transformations are executed from 0 to Count - 1.
Initializes a new instance of the class.
Initializes a new instance of the class.
The capacity.
Initializes a new instance of the class.
The collection.
Transforms the given 4D vector to a 4D vector.
Transforms the given 4D vector to a 2D point.
Transforms the given 4D vector to a 3D point.
Transforms the given 2D point to a 4D vector.
Toolbox for handling of objects.
Default value for epsilon in
and methods:
1% relative accuracy.
Correction factor when converting quadratic to cubic bezier.
Null shape, which does not contain anything.
Add the bounds of a quadratic bezier segment to a bounding box.
The bounds.
The first control point.
The second control point.
The third control point.
Add the bounds of a cubic bezier segment to a bounding box.
The bounds.
The first control point.
The second control point.
The third control point.
The fourth control point.
Evaluate a quadratic bezier spline at the given parameter.
The parameter in the interval 0 to 1
The first control point.
The second control point.
The third control point.
Point on bezier curve at parameter
Evaluate a cubic bezier spline at the given parameter.
The parameter in the interval 0 to 1
The first control point.
The second control point.
The third control point.
The fourth control point.
Point on bezier curve at parameter
Get the bounds of a shape.
Shape.
The shape's bounds.
Add the segments of a segment iterator to a bounding box.
Bounds where the segment bounds are added.
Segment iterator.
Get the bounds of a transformed shape.
Shape.
Transformation to apply before calculating bounds.
The shape's bounds.
Add the segments of a segment iterator to a bounding box.
Bounds where the segment bounds are added.
Segment iterator.
Transformation applied to iterator points before adding to bounds.
Get the bounds of a transformed shape.
Shape.
Transformation to apply before calculating bounds.
The shape's bounds.
Add the segments of a segment iterator to a bounding box.
Bounds where the segment bounds are added.
Segment iterator.
Transformation applied to iterator points before adding to bounds.
Compare two shapes and return whether there forms are equal.
First shape.
Second shape.
true if the two shapes are equal, otherwise false.
Splits a shape into sub shapes, which are unbroken. I.e. each of the sub shapes will have only one MoveTo segment.
Shape to split.
Array of unbroken sub shapes.
Get the transformation which transforms one shape into another.
First shape.
Second shape.
Accuracy to use for mapping.
The transformation which transforms into ,
or null if there is no such transformation.
Get the bounds of a transformed shape.
Shape.
Transformation to apply before calculating bounds.
The shape's bounds.
Add the segments of a segment iterator to a bounding box.
Bounds where the segment bounds are added.
Segment iterator.
Transformation applied to iterator points before adding to bounds.
Create a flattened version of a shape.
The shape to flatten.
Epsilon value for determining accuracy. Absolute if greater zero, an internal default if zero,
and relative to the extent of the shape if less than zero.
List of polylines created from the shape
Create a transformed flattened version of a shape.
The transformation to use.
The shape to flatten.
Epsilon value for determining accuracy. Absolute if greater zero, an internal default if zero,
and relative to the extent of the shape if less than zero. It is evaluated on the untransformed shape!
List of polylines created from the shape
Convert the control polygon of a quadratic bezier segment to cubic form.
Pair with the two inner control points p1 and p2. p0 stays as it is, and incoming p2 becomes p3.
Adds a shape to a Windows .
The path.
The shape to add.
Connect the shape?
Adds a shape defined by a
to a Windows .
The path.
The iterator.
Connect the shape?
Converts specified shape to a graphics path.
The shape to convert.
An equivalent GDI graphics path.
Converts specified shape to a graphics path, allowing for an additional transformation.
The shape to convert.
Transformation to apply during conversion.
An equivalent GDI graphics path.
Get construction code for a given shape.
shape
code which would construct a similar shape
Helper for . Return a string representing a double most exactly.
double value
string representation
Add the bounds defined by inner extrema of a quadratic bezier segment to a bounding box.
I.e. this will not add the points and .
The bounds.
The first control point.
The second control point.
The third control point.
Add the bounds defined by inner extrema of a cubic bezier segment to a bounding box.
I.e. this will not add the points and .
The bounds.
The first control point.
The second control point.
The third control point.
The fourth control point.
Square a value.
The value.
Squared
Add the points of a quadratic bezier segment to a polyline.
It is assumed that the last point of the polyline is the first point of the control polygon.
The Polyline where the approximation points are added.
Coordinates of the first control polygon point
Coordinates of the second control polygon point
Coordinates of the third control polygon point
Squared accuracy epsilon, a small value greater than 0.
Add the transformed points of a quadratic bezier segment to a 4D polyline.
The Polyline where the approximation points are added.
The transformation to use.
Coordinates of the first control polygon point
Coordinates of the second control polygon point
Coordinates of the third control polygon point
Squared accuracy epsilon, a small value greater than 0.
Add the points of a quadratic bezier segment to a polyline.
It is assumed that the last point of the polyline is the first point of the control polygon.
The Polyline where the approximation points are added.
Coordinates of the first control polygon point
Coordinates of the second control polygon point
Coordinates of the third control polygon point
Coordinates of the fourth control polygon point
Squared accuracy epsilon, a small value greater than 0.
Add the transformed points of a quadratic bezier segment to a polyline.
It is assumed that the last point of the polyline is the first point of the control polygon.
The Polyline where the approximation points are added.
The transformation to use.
Coordinates of the first control polygon point
Coordinates of the second control polygon point
Coordinates of the third control polygon point
Coordinates of the fourth control polygon point
Squared accuracy epsilon, a small value greater than 0.
Helper class for .
Implements viewport clipping using Blinn clipping.
See pdf document titled "Clipping" by William Shoaff, March 12, 2002.
Constructor.
This is the slowest clipping option because clipping bounds are flexible.
Constructor.
Inside testers.
Tester for being inside of the clipping region.
Is the given coordinate inside the clipping region.
The coordinate.
true if the coordinate is inside, false if it is outside or on the clipping region
Get the intersection of a line through two points with the clipping boundary.
First point of line.
Second point of line.
Intersection point. This point is only useful if one of the two points is inside and the other outside.
Contains generic inside testers against an arbitrary min/max x/y coordinate.
Point is inside if real y is smaller than or equal to top.
Initializes a new instance of the class.
Is the given coordinate inside the clipping region.
Get the intersection of a line through two points with the clipping boundary.
Intersection point. This point is only useful if one of the two points is inside and the other outside.
Point is inside if real y is greater than or equal to bottom.
Initializes a new instance of the class.
Is the given coordinate inside the clipping region.
Get the intersection of a line through two points with the clipping boundary.
Point is inside if real x is smaller than or equal to right.
Initializes a new instance of the class.
Is the given coordinate inside the clipping region.
Get the intersection of a line through two points with the clipping boundary.
Point is inside if real x is greater than or equal to left.
Initializes a new instance of the class.
Is the given coordinate inside the clipping region.
Get the intersection of a line through two points with the clipping boundary.
Contains IInsideTester implementations for clipping box: (0, 0) - (1, 1).
Point is inside if real y is smaller than or equal to 1.
Is the given coordinate inside the clipping region.
Get the intersection of a line through two points with the clipping boundary.
Point is inside if real y is greater than or equal to 0.
Is the given coordinate inside the clipping region.
Get the intersection of a line through two points with the clipping boundary.
Point is inside if real x is smaller than or equal to 1.
Is the given coordinate inside the clipping region.
Get the intersection of a line through two points with the clipping boundary.
Point is inside if real x is greater than or equal to 0.
Is the given coordinate inside the clipping region.
Get the intersection of a line through two points with the clipping boundary.
Represents an active list with dictionary lookup by a key (doesn't have to be unique).
Provides events that are raised when the list is modified.
The method (and therefore also )
is not made faster by the dictionary lookup and therefore is still O(n).
Lookup by key is made faster by dictionary lookup.
Inserting duplicate keys becomes slow when there are many O(n * n), this
implementation assumes lookup is more common than insertion.
Initializes a new instance of the class.
Initializes a new instance of the class.
The key equality comparer.
Determines the index of a specific item in the list.
The object to locate in the list.
The index of if found in the list; otherwise, -1.
Inserts an item to the list at the specified index.
The zero-based index at which should be inserted.
The object to insert into the list.
is not a valid index in the list.
The list is read-only.
Removes the list item at the specified index.
The zero-based index of the item to remove.
is not a valid index in the list.
The list is read-only.
Adds an item to the list.
When adding an item with a duplicate key, it is added behind the last item with the same key.
The object to add to the list.
The list is read-only.
Removes all items from the list.
The list is read-only.
Determines whether the list contains a specific value.
The object to locate in the list.
true if is found in the list; otherwise, false.
Copies the elements of the list to an , starting at a particular index.
The one-dimensional that is the destination of the elements copied from list.
The must have zero-based indexing.
The zero-based index in at which copying begins.
is null.
is less than 0.
is multidimensional.
-or-
is equal to or greater than the length of .
-or-
The number of elements in the source list is greater than the available space from to the end of the destination .
-or-
Type TItem cannot be cast automatically to the type of the destination .
Removes the first occurrence of a specific object from the list.
The object to remove from the list.
true if was successfully removed from the list; otherwise, false. This method also returns false if is not found in the original list.
The list is read-only.
Returns an enumerator that iterates through the collection.
A that can be used to iterate through the collection.
Returns an enumerator that iterates through a collection.
An object that can be used to iterate through the collection.
Gets the first item with the specified key.
Returns default(TItem) if not found.
Determines whether this list contains the specified key.
Gets the key for specified item.
Fires event.
Fires event.
Fires event.
Fires event.
Fires event.
Fires event.
Gets the at the specified index.
The list is read-only or caller is trying to set a value.
Gets the number of elements contained in the list.
The number of elements contained in the list.
Gets a value indicating whether the list is read-only.
true if the list is read-only; otherwise, false.
Gets all items that match the specified key.
Simple zoom wheel interactor based on a .
The default scaling per mouse wheel click.
Initializes a new instance of the class.
The transformation provider.
Call this method when the mouse wheel has rotated.
Returns whether this interactor consumed the mouse event.
Send the event.
Event arguments
Event cast when the interactor did a change.
Gets/sets the scaling factor per mouse wheel click.
Interactor which pans a model based on a .
Initializes a new instance of the class.
The transformation provider.
Call this method when a mouse button is pressed.
Returns whether this interactor consumed the mouse event.
Call this method when the mouse moves.
Returns whether this interactor consumed the mouse event.
Call this method when a mouse button is released.
Returns whether this interactor consumed the mouse event.
2D double-precision rectangle (axis-aligned).
Empty rectangle.
Constructor.
Corner 1 containing the minimum coordinates (this is not enforced, but see ).
Corner 1 containing the maximum coordinates (this is not enforced, but see ).
Constructor.
The minimum x-coordinate (this is not enforced, but see ).
The minimum y-coordinate (this is not enforced, but see ).
The maximum x-coordinate (this is not enforced, but see ).
The maximum y-coordinate (this is not enforced, but see ).
Enforce the restriction that coordinates are smaller than coordinates.
This will swap corner coordinates if necessary.
Returns whether this rectangle contains the specified point.
For performance reasons the implementation assumes that the rectangle is d.
Indicates whether the current object is equal to another object of the same type.
true if the current object is equal to the parameter; otherwise, false.
An object to compare with this object.
Indicates whether this instance and a specified object are equal.
true if and this instance are the same type and represent the same value; otherwise, false.
Another object to compare to.
Returns the hash code for this instance.
A 32-bit signed integer that is the hash code for this instance.
Create a canonized rectangle from two opposite corner points.
This enforces the restriction that coordinates are smaller than coordinates.
Corner point.
Opposite corner point.
Canonized rectangle.
Create a canonized rectangle from two opposite corner points.
This enforces the restriction that coordinates are smaller than coordinates.
X coordinate of corner point.
Y coordinate of corner point.
X coordinate of opposite corner point.
Y coordinate of opposite corner point.
Canonized rectangle.
Creates an iterator over this shape.
Add the bounds of this shape to the given bounds.
Bounds where to add this shape's bounds
Gets or sets the minimum x-coordinate.
Gets or sets the maximum x-coordinate.
Gets or sets the minimum y-coordinate.
Gets or sets the maximum y-coordinate.
Gets or sets corner 1 with minimum x and y-coordinate.
Gets or sets corner 2 with maximum x and y-coordinate.
Gets the width.
Gets the height.
Gets the center point.
Gets the size.
Does this path contain any segments?
Move to the next segment.
Get the current segment.
Output of the points of the current segment, array must have at least capacity 3 at
Offset into the array to write the result to
Type of the current segment
Get the type of the current segment.
Type of the current segment
Get the total number of segments.
Return -1 if number is unknown.
Get the total number of points.
Return -1 if number is unknown.
Represents a 2D double precision arc.
An arc consists of a and a , its angle ranges from
until in counter clockwise direction.
Angle zero is in the direction of .
Initializes a new instance of the class.
Initializes a new instance of the class.
Gets the intersection point(s) with specified line segment.
The line segment.
Returns one of the three following possibilities:
-
null if there is no intersection.
-
An array with 1 element if the line segment is tangent to the circle.
-
An array with 2 element if the line segment intersects the circle at two points.
Gets the intersection point(s) with specified line segment.
The line segment.
The precision.
Returns one of the three following possibilities:
-
null if there is no intersection.
-
An array with 1 element if the line segment is tangent to the circle.
-
An array with 2 element if the line segment intersects the circle at two points.
Gets the intersection point(s) with specified line.
The line.
Returns one of the three following possibilities:
-
null if there is no intersection.
-
An array with 1 element if the line segment is tangent to the circle.
-
An array with 2 element if the line segment intersects the circle at two points.
Gets the intersection point(s) with specified line.
The line.
The precision.
Returns one of the three following possibilities:
-
null if there is no intersection.
-
An array with 1 element if the line is tangent to the circle.
-
An array with 2 element if the line intersects the circle at two points.
Gets the intersection point(s) with specified ray.
The ray.
if set to true the ray is tangent to the arc.
Returns one of the three following possibilities:
-
null if there is no intersection.
-
An array with 1 element if the ray is tangent to the circle.
-
An array with 2 element if the ray intersects the circle at two points.
Gets the intersection point(s) with specified ray.
The ray.
The precision.
if set to true the ray is tangent to the arc.
Returns one of the three following possibilities:
-
null if there is no intersection.
-
An array with 1 element if the ray is tangent to the circle.
-
An array with 2 element if the ray intersects the circle at two points.
Gets the intersections between specified arcs.
Arc 1.
Arc 2.
The intersections, one of the three following possibilities:
-
null if there is no intersection.
-
An array with 1 element if the arcs touch.
-
An array with 2 element if the arcs intersect eachother at 2 points or overlap (partially).
Resulting overlapping arcs in case the arcs overlap, null otherwise.
If the arcs overlap, contains either 1 or 2 elements.
Returns true if there are either intersections or overlapping arcs.
Gets the intersections between specified arcs.
Arc 1.
Arc 2.
The precision.
The intersections, one of the three following possibilities:
-
null if there is no intersection.
-
An array with 1 element if the arcs touch.
-
An array with 2 elements if the arcs intersect eachother at 2 points.
Resulting overlapping arcs in case the arcs overlap, null otherwise.
If the arcs overlap, contains either 1 or 2 elements.
Returns true if there are either intersections or overlapping arcs.
Gets the intersections between specified circle and arc.
The circle.
The arc.
The intersections, one of the three following possibilities:
-
null if there is no intersection.
-
An array with 1 element if the arc and circle touch.
-
An array with 2 elements if the arc and circle intersect eachother at 2 points.
if set to true the arc overlaps the circle.
Gets the intersections between specified circle and arc.
The circle.
The arc.
The precision.
The intersections, one of the three following possibilities:
-
null if there is no intersection.
-
An array with 1 element if the arc and circle touch.
-
An array with 2 elements if the arc and circle intersect eachother at 2 points.
if set to true the arc overlaps the circle.
Determines whether this arc contains the angle projection of specified point.
Determines whether this arc contains the angle projection of specified point.
Determines whether this arc contains the specified angle.
Determines whether this arc contains the specified angle.
Gets the point at the specified angle on the circle determined by
and .
Gets the point at the specified angle on the circle determined by
and .
Gets the projected angle (radians) of the specified point.
Subtracts the point from the specified point, and uses
to calculate the angle of the resulting vector.
An angle, θ, measured in radians, such that -π≤θ≤π.
Gets the point on this arc at the .
Gets the point on this arc at the .
Returns a string representation.
Creates an iterator over this shape.
Add the bounds of this shape to the given bounds.
Bounds where to add this shape's bounds
Get overlapping arcs for specified arcs that have
approximately the same center and radius.
Has 4 cases, depending on which arc includes the 0 angle (= 2 * π).
Gets or sets the center.
Gets or sets the radius.
Gets or sets the end angle (radians).
Gets or sets the start angle (radians).
Gets the included angle (radians).
Gets the included angle between the start and end angle.
Note that this angle is always positive, as this arc class is always
counter clock wise. So if the start angle is 1.3 * π and the end angle is 0.2 * π, then
the included angle = ((2 + 0.2) - 1.3) * π = 0.9 * π.
Does this path contain any segments?
Helper class for iteration.
Move to the next segment.
Get the current segment.
Output of the points of the current segment, array must have at least capacity 3 at
Offset into the array to write the result to
Type of the current segment
Get the type of the current segment.
Type of the current segment
Get the total number of segments.
Return -1 if number is unknown.
Get the total number of points.
Return -1 if number is unknown.
Constants.
The value of PI.
The value of (2 * PI).
The value of (PI*PI).
The value of PI/2.
Single precision.
Double precision.
A conversion factor from radians to degrees.
A conversion factor from degrees to radians.
Item event handler delegate.
Item set event handler delegate.
Initializes a new instance of the class.
Initializes a new instance of the class.
The collection whose elements are copied to the new list.
Initializes a new instance of the class.
The number of elements that the new list can initially store.
Searches for the specified object and returns the zero-based index
of the first occurrence within the entire .
The object to locate in the . The value can be a null reference.
Inserts an element into the at the specified index.
The zero-based index at which item should be inserted.
The object to insert. The value can be a null reference.
Removes the element at the specified index of the .
The zero-based index of the element to remove.
Adds an object to the end of the .
The object to be added to the end of the .
The value can be a null reference.
Removes all elements from the .
Determines whether an element is in the .
The object to locate in the . The value can be a null reference.
true if item is found in the ; otherwise, false.
Copies the entire to a compatible one-dimensional array,
starting at the specified index of the target array.
The one-dimensional that is the destination
of the elements copied from . The Array must have zero-based indexing.
The zero-based index in array at which copying begins.
Removes the first occurrence of a specific object from the .
The object to remove from the . The value can be a null reference.
true if item is successfully removed; otherwise, false.
This method also returns false if item was not found in the .
Returns an enumerator that iterates through the .
A that can be used to iterate through the collection.
Adds an item to the IList.
The Object to add to the
IList.
The position into which the new element was inserted.
Removes the first occurrence of a specific object from the
IList.
The object to remove from the
IList.
Determines whether the
IList
contains a specific value.
The Object to locate in the IList.
true if item is found in the IList; otherwise, false.
Determines the index of a specific item in the IList.
The object to locate in the IList.
The index of item if found in the list; otherwise, –1.
Inserts an item to the IList at the specified index.
The zero-based index at which item should be inserted.
The object to insert into the IList.
Copies the elements of the
ICollection
to an Array, starting at a particular Array index.
The one-dimensional Array that is the destination of the elements copied from
ICollection.
The Array must have zero-based indexing.
The zero-based index in array at which copying begins.
Returns an enumerator that iterates through the .
An IEnumerator
object that can be used to iterate through the collection.
Adds the elements of the specified collection to the end of the .
The collection whose elements should be added to the end of the .
The collection itself cannot be a null reference (Nothing in Visual Basic),
but it can contain elements that are a null reference (Nothing in Visual Basic),
if type T is a reference type.
Copies the elements of the to a new array.
An array containing copies of the elements of the .
Sorts the elements in the entire using the default comparer.
Sorts the elements in the entire using the specified System.Comparison.
Sorts the elements in the entire using the specified comparer.
Sorts the elements in the entire using the specified comparer.
Retrieves all the elements that match the conditions defined by the specified predicate.
Searches for an element that matches the conditions defined by the specified predicate,
and returns the first occurrence within the entire list.
Searches for an element that matches the conditions defined by the specified predicate,
and returns the zero-based index of the first occurrence within the entire list.
Searches for an element that matches the conditions defined by the specified predicate,
and returns the zero-based index of the first occurrence within the entire list.
Searches for an element that matches the conditions defined by the specified predicate,
and returns the zero-based index of the first occurrence within the entire list.
Searches for an element that matches the conditions defined by the specified predicate,
and returns the last occurrence within the entire list.
Searches for an element that matches the conditions defined by the specified predicate,
and returns the zero-based index of the last occurrence within the entire list.
Searches for an element that matches the conditions defined by the specified predicate,
and returns the zero-based index of the last occurrence within the entire list.
Searches for an element that matches the conditions defined by the specified predicate,
and returns the zero-based index of the last occurrence within the entire list.
Fires event.
Fires event.
Fires event.
Fires event.
Fires event.
Fires event.
Gets or sets the element at the specified index.
Gets the number of elements actually contained in the .
Gets a value indicating whether the is read-only.
Gets or sets the element at the specified index.
The zero-based index of the element to get or set.
Gets a value indicating whether the
IList is read-only.
Gets a value indicating whether the
IList has a fixed size.
Gets an object that can be used to synchronize access to the
ICollection.
Gets a value indicating whether access to the
ICollection is synchronized (thread safe).
Types of segments of shapes.
Move to point segment (1 point).
Line to point segment (1 point).
Quadratic curve segment (2 points: control + end).
Cubic curve segment (3 points: control1, control2 + end)
Close segment (line to last MoveTo point, no points given)
Generalization of ApplicationException.
This should be used internally instead of ApplicationException, because ApplicationException is
not available for Silverlight.
Simple interactor based on which rotates the
model around the view axis (center point of view).
Initializes a new instance of the class.
The transformation provider.
Call this method when a mouse button is pressed.
Returns whether this interactor consumed the mouse event.
Call this method when the mouse moves.
Returns whether this interactor consumed the mouse event.
Call this method when a mouse button is released.
Returns whether this interactor consumed the mouse event.
Represents a rectangle zoom interactor.
Minimal movement necessary so zooming is possible, in pixel.
The zoom rectangle color.
Call this method when a mouse button is pressed.
Returns whether this interactor consumed the mouse event.
Call this method when the mouse moves.
Returns whether this interactor consumed the mouse event.
Call this method when a mouse button is released.
Returns whether this interactor consumed the mouse event.
Propagate the current setting of this element to a scaler and a translator.
The scaler.
The translator.
Raises the event.
Occurs when the rectangle changed.
Get the rectangle currently defined by the mouse movements, in screen coordinates.
Get the rectangle currently defined by the mouse movements, in normalized coordinates.
Is the value of the interactor valid for zooming.
Gets the hint to the user about what input the interactor is expecting next.
Represents a Windows Forms drawable for .
Initializes a new instance of the class.
Draws this drawable.
Gets the cursor. Returns null if the cursor should remain unchanged.
A class containing interactor mouse event arguments.
Initializes a new instance of the class.
Gets the mouse event args.
Gets the interaction context.
PropertyGrid that allows tabbing through items and has globalized tooltips.
Constructor.
Refresh.
Sets up globalized tooltips for "Categorized" and
"Alphabetic".
Gets the property grid from specified type descriptor context.
null if the owner grid is not of type .
Do special processing for Tab key.
Gets or sets whether to expand an item when pressing tab.
When true items are also unexpanded when pressing shift-tab.
Note that the enter key will always work to expand.
Sets the splitter position.
Initial value is zero.
When zero the original property grid splitter position is unaffected.
Gets or sets a value indicating whether this property grid is read only.
Note that this property only works in conjuction with ,
or any other type converter that uses this property.
Represents a bit converter that swaps the bytes on input/output.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Returns the specified value as an array of bytes.
Converts the specified bytes to a .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to a .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Converts the specified bytes to an .
Initializes a new instance of the struct.
The ray's origin.
The ray's direction.
Initializes a new instance of the struct.
Calculate intersection point between a ray and a line segment.
Calculate intersection point between a ray and a line segment.
Calculate intersection point between two rays.
Calculate intersection point between two rays.
Calculate intersection point between two rays.
Calculate intersection point between a ray and a segment.
Ray a.
Segment b.
p (may note be smaller than zero).
When the ray and segment are parallel, then p is set to .
q has value between 0 and 1 when there is 1 intersection.
When the ray and segment are parallel, then p is set to .
is set to true when the line and segment are parallel.
whether the ray and segment intersect.
The results is the solution of equation
.Origin + p * .Direction =
.Start + q * .GetDelta().
Calculate intersection point between a ray and a segment.
Ray a.
Segment b.
p (may not be smaller than zero).
When the ray and segment are parallel, then p is set to .
q has value between 0 and 1 when there is 1 intersection.
When the ray and segment are parallel, then p is set to .
is set to true when the ray and segment are parallel.
the precision.
whether the line and segment intersect.
The results is the solution of equation
.Origin + p * .Direction =
.Start + q * .GetDelta().
Returns the smallest distance between the ray
and specified point.
Returns the smallest squared distance between the ray
and specified point.
Returns the point on this ray that is closest to the specified point.
Returns string representation.
Gets or sets the ray's direction.
Gets or sets the ray's origin.
This class makes it possible to:
globalize property display names and desriptions,
sort properties and set the DisplayName to a property with an attribute.
Also all property characteristics can be changed dynamically if needed.
Set a class's to this class to enable
globalization and dynamic property characteristics.
The display name and description for a property are obtained
from a resource file if specified by the .
The resource file is expected to be named namespace.classname.resources.
Resources are expected to be named PropertyName_DisplayName,
PropertyName_Description PropertyName_Category (all optional).
Also sorts using the attribute.
Specify for simpler usage (not globalized).
If a property has the attribute
then the delegate specified is called for its runtime .
See also
Get property attributes for given property descriptor and target object.
Optional attribute for detailed specification of where
should look for its resources.
See also
Place where can find its resources.
Exception throw if undefined segment is accessed.
3-dimensional multi precision zero matrix.
3-dimensional multi precision identity matrix.
Initializes a new instance of the structure with the specified values.
Initializes a new instance of the structure with the specified values.
Initializes a new instance of the structure with the specified values.
An array containing the matrix values in row-major order.
Initializes a new instance of the structure with the specified values.
An array containing the matrix values in row-major order.
Initializes a new instance of the structure with the specified values.
A instance holding values for the first column.
A instance holding values for the second column.
A instance holding values for the third column.
Initializes a new instance of the class using a given matrix.
Adds two matrices.
Subtracts a matrix from a matrix.
result[row, column] = a[row, column] - b[row, column]
Multiplies two matrices.
Transposes a matrix.
A instance.
A new instance containing the transposed matrix.
Returns the hashcode for this instance.
A 32-bit signed integer hash code.
Returns a value indicating whether this instance is equal to
the specified object.
An object to compare to this instance.
if is a and has the same values as this instance; otherwise, .
Returns a string representation of this object.
A string representation of this object.
Transforms given vector by this matrix.
Transforms given point by this matrix.
Transforms given vector by this matrix.
Transforms given point by this matrix.
Transforms given point by this matrix and returns a 2D point.
Calculates the determinant value of the matrix.
The determinant value of the matrix.
Calculates the adjoint of the matrix.
A instance containing the adjoint of the matrix.
Calculates the inverse of the matrix.
It is not always possible to invert a matrix, in which case you'll get a
matrix containing infinite values. See the method for
a method which indicates whether inversion was possible or not.
A instance containing the inverse of the matrix.
Calculates the inverse of the matrix.
set to true if the inversion was possible and false otherwise
A instance containing the inverse of the matrix.
Gets the transpose of this matrix.
Build a 2x2 matrix from from the current matrix without the given row and column.
The row to remove.
The column to remove.
A instance containing the result Minor.
Calculates the trace of the matrix which is the sum of its diagonal elements.
Returns the trace value of the matrix.
Transposes this matrix.
Tests whether two specified matrices are equal.
The left-hand matrix.
The right-hand matrix.
if the two matrices are equal; otherwise, .
Tests whether two specified matrices are not equal.
The left-hand matrix.
The right-hand matrix.
if the two matrices are not equal; otherwise, .
Adds two matrices.
A instance.
A instance.
A new instance containing the sum.
Subtracts a matrix from a matrix.
A instance.
A instance.
A new instance containing the difference.
Multiplies two matrices.
A instance.
A instance.
A new instance containing the result.
Transforms given vector by a matrix.
A instance.
A instance.
A new instance containing the result.
Transforms given point by a matrix.
A instance.
A instance.
A new instance containing the result.
Returns true if this matrix is equal to specified matrix.
Indexer allowing to access the matrix elements by an index
where index = 3 * row + column.
Indexer allowing to access the matrix elements by row and column.
A 2D big rational based line consisting of a and a .
The line is represented by
x(t) = + t *
where t may have any value.
If used as a shape the line is the representation of the parameter interval [0,1].
Initializes a new instance of the struct.
The line's origin.
The line's direction.
Initializes a new instance of the struct.
Initializes a new instance of the struct.
Calculates if 2 lines intersect.
Other line for testing intersection.
Resulting intersection if there is one, null otherwise.
If lines intersect, then this parameter indicates whether the
lines are parallel.
In this case parameter intersection contains no valid value.
Calculate intersection parameters between two lines.
Line a.
Line b.
p, is null if there is no intersection or if the lines are parallel or if a has a zero direction.
q, is null if there is no intersection or if the lines are parallel or if b has a zero direction.
Whether the two lines are parallel.
whether the two lines intersect.
The results is the solution of equation
.Origin + p * .Direction =
.Origin + q * .Direction.
Calculate intersection point between a line and a segment.
Calculate intersection point between a line and a segment.
Line a.
Segment b.
p has value between 0 and 1 when there is 1 intersection.
When the line and segment are parallel or if a has a zero direction, then p is set to null.
q has value between 0 and 1 when there is 1 intersection.
When the line and segment are parallel or if b has a zero length, then q is set to null.
is set to true when the line and segment are parallel.
whether the line and segment intersect.
The results is the solution of equation
.Origin + p * .Direction =
.Start + q * .GetDelta().
Returns whether given point is on this line.
Returns the smallest squared distance between the ray
and specified point.
Returns the point on this line that is closest to the specified point.
Gets the least squares fit line given specified set of points.
The least squares fit minimizes the vertical distance of the specified points to
the best fitting line.
Thrown when number of points is less than two.
Returns string representation.
Gets or sets the line's direction.
Gets or sets the line's origin.