Gemstone.Numeric
Used to hold x-y coordinates
x-coordinate
y-coordinate
Used to hold x-y coordinates
x-coordinate
y-coordinate
x-coordinate
y-coordinate
Linear regression algorithm.
Computes linear regression over given values.
An for the polynomial order.
A list of values.
An array of values.
Computes linear regression over given values.
An for the polynomial order.
A list of x-values.
A list of y-values.
An array of values.
Uses least squares linear regression to estimate the coefficients a, b, and c
from the given (x,y,z) data points for the equation z = a + bx + cy.
z-value array
x-value array
y-value array
the out a coefficient
the out b coefficient
the out c coefficient
Uses least squares linear regression to estimate the coefficients a and b
from the given (x,y) data points for the equation y = a + bx.
x-value array
y-value array
the out a coefficient
the out b coefficient
Contains an implementation of greatest common denominator
and least common multiple using the Euclidean algorithm.
Implementation of the modulo operator using Euclidean division.
The number to be divided.
The number to divide by.
Wraps a value to a range of values defined
by the given minimum value and range.
The value to be wrapped.
The minimum value of the range.
The size of the range.
The given value wrapped to the given range.
This method wraps the given value based on the assumption that
for every pair of values x and y where x-y=range, the values are
equivalent. This is probably most widely understood in terms of
angles, where 0, 360, 720, etc. are all equivalent angles. If
you wanted to wrap an angle such that it is between 120 and 480,
for instance, you could call Euclidean.Wrap(angle, 120, 360).
Gets the greatest common denominator of all the integers in the source collection.
The collection of integers.
The greatest common denominator.
Gets the greatest common denominator of all the integers in the source collection.
The collection of integers.
The greatest common denominator.
Gets the greatest common denominator of the given integers.
The first of the given integers.
The second of the given integers.
The greatest common denominator.
Gets the greatest common denominator of all the integers in the source collection.
The collection of integers.
The greatest common denominator.
Gets the greatest common denominator of all the integers in the source collection.
The collection of integers.
The greatest common denominator.
Gets the greatest common denominator of the given integers.
The first of the given integers.
The second of the given integers.
The greatest common denominator.
Gets the least common multiple of all the integers in the source collection.
The collection of integers.
The least common multiple.
Gets the least common multiple of all the integers in the source collection.
The collection of integers.
The least common multiple.
Gets the least common multiple of the given integers.
The first of the given integers.
The second of the given integers.
The least common multiple.
Gets the least common multiple of all the integers in the source collection.
The collection of integers.
The least common multiple.
Gets the least common multiple of all the integers in the source collection.
The collection of integers.
The least common multiple.
Gets the least common multiple of the given integers.
The first of the given integers.
The second of the given integers.
The least common multiple.
A class that implements a butterworth digital filter.
Implements a bandpass filter
A class that implements a digital filter.
Implements a BoxMuller method for generating statistically normal random numbers.
Creates a
the mean of the distribution
the standard deviation
a clipping boundary
a clipping boundary
Gets the next random value.
Predicts the next state based on the current estimate.
Default process noise covariance.
Default measurement noise covariance.
Default estimate error.
Creates a new Kalman filter.
Determines how much the system state is expected to change between measurements.
Start with a very small value (e.g., 1e-5) and gradually increase it. Too small a value can
make the filter slow to adapt to changes, while too large can make it over-responsive to noise.
Reflects the confidence in the measurements. A lower value gives more weight to the measurements.
If your measurements are accurate, set R to a small value (e.g., 1e-3). Increase it if the
measurements are noisy.
Represents the initial guess about the error in the state estimate.
Start with a value that reflects the expected variability in the initial state.
Updates the filter with a new measurement.
New measurement value.
Predicted next state.
Filters a set of measurements.
Signals to filter.
Measurements with Kalman filter applied.
Contains classes and extension functions used to calculate common numerical operations such as curve fits and standard deviations.
Defines extension functions related to numerical analysis over a sequence of data.
Computes the standard deviation over a sequence of values.
Source data sample.
Set to true to calculate for estimated population size, or false for full population.
The standard deviation of the sequence.
is null.
does not contain enough values to produce a result.
Computes the standard deviation over a sequence of values.
Source data sample.
Used to map value from enumerable of to enumerable of .
Set to true to calculate for estimated population size, or false for full population.
The standard deviation of the sequence.
is null.
does not contain enough values to produce a result.
Type of source used to extract double.
Computes the standard deviation over a sequence of values.
Source data sample.
Set to true to calculate for estimated population size, or false for full population.
The standard deviation of the sequence.
is null.
does not contain enough values to produce a result.
Computes the standard deviation over a sequence of values.
Source data sample.
Used to map value from enumerable of to enumerable of .
Set to true to calculate for estimated population size, or false for full population.
The standard deviation of the sequence.
is null.
does not contain enough values to produce a result.
Type of source used to extract decimal.
Computes the standard deviation over a sequence of values.
Source data sample.
Set to true to calculate for estimated population size, or false for full population.
The standard deviation of the sequence.
is null.
does not contain enough values to produce a result.
Computes the standard deviation over a sequence of values.
Source data sample.
Used to map value from enumerable of to enumerable of .
Set to true to calculate for estimated population size, or false for full population.
The standard deviation of the sequence.
is null.
does not contain enough values to produce a result.
Type of source used to extract float.
median calculates the median values of a sequence of values, while being aware of NaN values.
Source data sample.
A Flag indicating whether any NaN should be skipped.
is null
Implements a BoxMuller method for generating statistically normal random numbers.
returns intrinsic mode functions (IMFs) and a residual signal corresponding to the variational mode decomposition (VMD) of X, with default decomposition parameters.
The input signal to oeprate on
The maximum Numebr of Itterations.
The number of intrinsic mode Functions to be found.
The penalty factor for the VMD algorithm.
signalBoundary applies mirroring to signal if ifInverse is 0 and removes mirrored signal otherwise.Mirror extension of the signal by half its
length on each side.Removing mirrored signal is a inverse process of the mirror extension.
Initialize central frequencies by finding the locations of signal peaks
in frequency domain by using findpeaks function.The number of peaks is
determined by NumIMFs.
returns a logical array whose elements are true when a local maximum is detected in the corresponding element of x.
Replace values meeting condition in with the next Value not meeting this criteria.
Represents a sine wave of the form y=A*sin(ω*t+Φ)+δ.
2 * pi
Amplitude (A) of the sine wave.
Frequency (ω) of the sine wave, in Hz.
Phase (Φ) shift of the sine wave.
Vertical offset (δ) of the sine wave.
Calculates the y-value for the given time.
The time, in seconds.
A*sin(ω*t+Φ)+δ
Linear regression algorithm for sine waves.
Uses least squares linear regression to calculate the best fit sine wave for the given data.
The y values of the data points.
The time values of the data points, in seconds.
The frequency of the sine wave, in Hz.
A approximated from the given data points.
Defines functions related to binary-coded decimals.
See Binary-coded decimal for details.
Gets binary value from binary-coded decimal.
Binary-coded decimal value.
Standard binary representation of binary-coded decimal value.
Gets binary value from two-byte binary-coded decimal.
Two-byte binary-coded decimal value.
Standard binary representation of binary-coded decimal value.
Gets binary value from four-byte binary-coded decimal.
Four-byte binary-coded decimal value.
Standard binary representation of binary-coded decimal value.
Gets binary value from eight-byte binary-coded decimal.
Eight-byte binary-coded decimal value.
Standard binary representation of binary-coded decimal value.
Gets binary-coded decimal from binary value.
Binary value.
Binary-coded decimal representation of standard binary value.
A binary-coded decimal has a maximum value of 99 for a single byte.
Gets binary-coded decimal from binary value.
Binary value.
Binary-coded decimal representation of standard binary value.
A binary-coded decimal has a maximum value of 9,999 for two bytes.
Gets binary-coded decimal from binary value.
Binary value.
Binary-coded decimal representation of standard binary value.
A binary-coded decimal has a maximum value of 99,999,999 for four bytes.
Gets binary-coded decimal from binary value.
Binary value.
Binary-coded decimal representation of standard binary value.
A binary-coded decimal has a maximum value of 9,999,999,999,999,999 for eight bytes.
Defines extension methods related to bit operations.
Encodes as binary, i.e., a string of bit values (0 or 1).
Integer value to encode.
Binary encoding of .
Encodes as binary, i.e., a string of bit values (0 or 1).
Integer value to encode.
Binary encoding of .
Encodes as binary, i.e., a string of bit values (0 or 1).
Integer value to encode.
Binary encoding of .
Encodes as binary, i.e., a string of bit values (0 or 1).
Integer value to encode.
Binary encoding of .
Encodes as binary, i.e., a string of bit values (0 or 1).
Integer value to encode.
Binary encoding of .
Encodes as binary, i.e., a string of bit values (0 or 1).
Integer value to encode.
Binary encoding of .
Encodes as binary, i.e., a string of bit values (0 or 1).
Integer value to encode.
Binary encoding of .
Encodes as binary, i.e., a string of bit values (0 or 1).
Integer value to encode.
Binary encoding of .
Encodes as binary, i.e., a string of bit values (0 or 1).
Integer value to encode.
Binary encoding of .
Encodes as binary, i.e., a string of bit values (0 or 1).
Integer value to encode.
Binary encoding of .
Defines extension methods for complex numbers.
Converts the given string to a complex number.
The string using complex notation
The symbol used for the square root of -1
The complex number
Converts the given complex number to a string using complex notation.
The complex number
A string representation of the complex number.
Converts the given complex number to a string using complex notation.
The complex number
The format string to use when converting numbers to their string representation
A string representation of the complex number.
Converts the given complex number to a string using complex notation.
The complex number
The symbol used for the square root of -1
A string representation of the complex number.
Converts the given complex number to a string using complex notation.
The complex number
The options that define various aspects of the notation
A string representation of the complex number.
Converts the given complex number to a string using complex notation.
The complex number
The format string to use when converting numbers to their string representation
The symbol used for the square root of -1
A string representation of the complex number.
Converts the given complex number to a string using complex notation.
The complex number
The format string to use when converting numbers to their string representation
The options that define various aspects of the notation
A string representation of the complex number.
Converts the given complex number to a string using complex notation.
The complex number
The symbol used for the square root of -1
The options that define various aspects of the notation
A string representation of the complex number.
Converts the given complex number to a string using complex notation.
The complex number
The format string to use when converting numbers to their string representation
The symbol used for the square root of -1
The options that define various aspects of the notation
A string representation of the complex number.
Provides options for customizing the notation
used for representing complex numbers as text.
The default notation if no options are specified.
Specifies that the symbol on the imaginary term should be prefixed.
Inserts an asterisk between the number and the symbol on
the imaginary term to explicitly indicate multiplication.
Specifies that the imaginary term should come first.
Specifies that the subtraction operator should
be used if the second term is negative.
Specifies terms should be swapped if doing
so would convert addition into subtraction.
Specifies numbers and terms are always displayed regardless
of whether they can be mathematically simplified.
Inserts whitespace around the plus/minus operator.
Inserts whitespace around the asterisk.
Inserts whitespace between the symbol and the number.
Enables all whitespace options.
Provides a verbose output with consistent ordering of terms,
no subtraction, asterisks, and all whitespace options.
No options are enabled.
Represents a complex number.
Creates a from the given rectangular values.
The real component of the .
The imaginary component of the .
Creates a from the given polar values.
The component, in radians, of the .
The magnitude (or absolute value) component of the .
Creates a from the given .
to be copied.
Gets or sets the real component of this .
Gets or sets the imaginary component of this .
Gets or sets the magnitude (a.k.a. the modulus or absolute value) of this .
Gets or sets the (a.k.a. the argument) in radians of this .
Gets the complex conjugate of this .
Gets a boolean value indicating if each composite value of the (i.e., real and imaginary) has been assigned a value.
True, if all composite values have been assigned a value; otherwise, false.
Gets a boolean value indicating if each composite value of the (i.e., real and imaginary) has not been assigned a value.
True, if none of the composite values have been assigned a value; otherwise, false.
Returns a value indicating whether this instance is equal to a specified object.
An object to compare, or null.
True if is an instance of ComplexNumber and equals the value of this instance;
otherwise, False.
Returns a value indicating whether this instance is equal to a specified ComplexNumber value.
A to compare to this instance.
True if has the same value as this instance; otherwise, False.
Returns the hash code for this instance.
A 32-bit signed integer hash code.
Converts the numeric value of this instance to its equivalent string representation.
The string representation of the value of this instance.
Implicitly converts a to a .
Operand.
ComplexNumber representing the result of the operation.
Implicitly converts a to a .NET value.
Operand.
Complex representing the result of the operation.
Implicitly converts a .NET value to a .
Operand.
ComplexNumber representing the result of the operation.
Compares the two values for equality.
Left hand operand.
Right hand operand.
Boolean representing the result of the addition operation.
Compares the two values for inequality.
Left hand operand.
Right hand operand.
Boolean representing the result of the inequality operation.
Returns the negated value.
Left hand operand.
ComplexNumber representing the result of the unary negation operation.
Returns computed sum of values.
Left hand operand.
Right hand operand.
ComplexNumber representing the result of the addition operation.
Returns computed difference of values.
Left hand operand.
Right hand operand.
ComplexNumber representing the result of the subtraction operation.
Returns computed product of values.
Left hand operand.
Right hand operand.
ComplexNumber representing the result of the multiplication operation.
Returns computed division of values.
Left hand operand.
Right hand operand.
ComplexNumber representing the result of the division operation.
Returns specified raised to the specified power.
Complex number to be raised to power .
Power to raise .
ComplexNumber representing the result of the operation.
Returns result of first value raised to power of second value.
Complex number to be raised to power .
Power to raise .
ComplexNumber representing the result of the operation.
Converts the string representation of a complex number to its complex number equivalent.
A string that contains a number to convert.
A complex number that is equivalent to the numeric value or symbols specified in .
Nominal line frequencies enumeration.
50Hz nominal frequency.
60Hz nominal frequency.
Contains classes that represent standard Electrical Engineering numeric units and types.
Represents a phasor as a complex number value and a type (i.e., a voltage or a current).
Phasor type.
Phasor value.
Creates a of the specified from the given rectangular values.
Type of phasor, i.e., current or voltage.
The real component of the .
The imaginary component of the .
Creates a of the specified from the given polar values.
Type of phasor, i.e., current or voltage.
The component, in radians, of the .
The magnitude (or absolute value) component of the .
Creates a of the specified from the given .
Type of phasor, i.e., current or voltage.
to be copied.
Gets the complex conjugate of this .
Returns a value indicating whether this instance is equal to a specified object.
An object to compare, or null.
True if is an instance of Phasor and equals the value of this instance;
otherwise, False.
Returns a value indicating whether this instance is equal to a specified Phasor value.
A to compare to this instance.
True if has the same value as this instance; otherwise, False.
Returns the hash code for this instance.
A 32-bit signed integer hash code.
Converts the numeric value of this instance to its equivalent string representation.
The string representation of the value of this instance.
Implicitly converts a to a .
Operand.
ComplexNumber representing the result of the operation.
Compares the two values for equality.
Left hand operand.
Right hand operand.
Boolean representing the result of the addition operation.
Compares the two values for inequality.
Left hand operand.
Right hand operand.
Boolean representing the result of the inequality operation.
Returns the negated value.
Left hand operand.
Phasor representing the result of the unary negation operation.
Returns computed sum of values.
Left hand operand.
Right hand operand.
ComplexNumber representing the result of the addition operation.
Resultant phasor will have of left hand operand, .
Returns computed difference of values.
Left hand operand.
Right hand operand.
ComplexNumber representing the result of the subtraction operation.
Resultant phasor will have of left hand operand, .
Returns computed product of values.
Left hand operand.
Right hand operand.
ComplexNumber representing the result of the multiplication operation.
Resultant phasor will have of left hand operand, .
Returns computed division of values.
Left hand operand.
Right hand operand.
ComplexNumber representing the result of the division operation.
Resultant phasor will have of left hand operand, .
Returns specified raised to the specified power.
Phasor to be raised to power .
Power to raise .
Phasor representing the result of the operation.
Returns result of first value raised to power of second value.
Phasor to be raised to power .
Power to raise .
Phasor representing the result of the operation.
Calculates active (or real) power P, i.e., total watts, from imaginary and real components of a voltage and current phasor.
Voltage phasor.
Current phasor.
and must have proper .
Calculated watts from imaginary and real components of specified and phasors.
Calculates reactive power Q, i.e., total volt-amperes of reactive power, from imaginary and real components of a voltage and current phasor.
Voltage phasor.
Current phasor.
and must have proper .
Calculated vars from imaginary and real components of specified and phasors.
Calculates complex power S, i.e., total volt-amperes power vector, from a voltage and current phasor.
Voltage phasor.
Current phasor.
and must have proper .
Calculated complex volt-amperes from specified and phasors.
Calculates apparent power |S|, i.e., magnitude of complex power, from a voltage and current phasor.
Voltage phasor.
Current phasor.
and must have proper .
Calculated complex volt-amperes magnitude from specified and phasors.
Calculates phase φ of voltage relative to current, i.e., angle difference between current and voltage phasor.
Voltage phasor.
Current phasor.
and must have proper .
Calculated phase of specified phasor relative to specified phasor.
Phasor types enumeration.
Voltage phasor.
Current phasor.
Fundamental signal type enumeration for common EE measurements that represents a kind of signal, not an explicit type.
This enumeration represents the basic type of a signal used to suffix a formatted signal
reference. When used in context along with an optional index the fundamental signal type
will identify a signal's location within a frame of data (see ).
Contrast this to the enumeration which further defines an explicit
type for a signal (e.g., a voltage or current type for an angle).
Phase angle.
Phase magnitude.
Line frequency.
Frequency delta over time (dF/dt).
Status flags.
Digital value.
Analog value.
Calculated value.
Statistical value.
Alarm value.
Quality flags.
Point-on-wave current.
Point-on-wave voltage.
Undetermined signal type.
Defines extension functions for the enumeration.
Gets the acronym for the specified .
to convert to an acronym.
The acronym for the specified .
Gets the for the specified .
Acronym of the desired .
The for the specified .
Represents a signal that can be referenced by its constituent components.
Gets or sets the acronym of this .
Gets or sets the signal index of this .
Gets or sets the of this .
Gets or sets the cell index, if applicable, of this .
Creates a new .
representation of this .
Returns a that represents the current .
A that represents the current .
Returns the hash code for this .
A 32-bit signed integer hash code.
Indicates whether the current object is equal to another object of the same type.
An object to compare with this object.
true if the current object is equal to the other parameter; otherwise, false.
Object is not a .
Indicates whether the current object is equal to another object of the same type.
An object to compare with this object.
true if the current object is equal to the other parameter; otherwise, false.
Compares the current object with another object of the same type.
Another to compare with this .
A 32-bit signed integer that indicates the relative order of the objects being compared.
Compares the current object with another object of the same type.
An object to compare with this .
A 32-bit signed integer that indicates the relative order of the objects being compared.
Object is not a .
Compares two values for equality.
A left hand operand.
A right hand operand.
A boolean representing the result.
Compares two values for inequality.
A left hand operand.
A right hand operand.
A boolean representing the result.
Returns true if left value is greater than right value.
A left hand operand.
A right hand operand.
A boolean representing the result.
Returns true if left value is greater than or equal to right value.
A left hand operand.
A right hand operand.
A boolean representing the result.
Returns true if left value is less than right value.
A left hand operand.
A right hand operand.
A boolean representing the result.
Returns true if left value is less than or equal to right value.
A left hand operand.
A right hand operand.
A boolean representing the result.
Returns a that represents the specified and .
Acronym portion of the desired representation.
portion of the desired representation.
A that represents the specified and .
Returns a that represents the specified , and .
Acronym portion of the desired representation.
portion of the desired representation.
Index of portion of the desired representation.
A that represents the specified , and .
Fundamental signal type enumeration for common EE measurements that represents an explicit type of signal.
This enumeration represents the explicit type of a signal that a value represents.
Contrast this to the enumeration which only defines an
abstract type for a signal (e.g., simply a phase or an angle).
Current phase magnitude.
Current phase angle.
Voltage phase magnitude.
Voltage phase angle.
Frequency.
Frequency delta (dF/dt).
Analog value.
Status flags.
Digital values.
Calculated value.
Statistical value.
Alarm value.
Quality flags.
Point-on-Wave current.
Point-on-Wave voltage.
Undefined signal.
Defines extension functions for the enumeration.
Returns display friendly signal type name.
to return display name for.
Friendly protocol display name for specified .
Common transmission voltage levels enumeration.
34 kV.
44 kV.
69 kV.
115 kV.
138 kV.
161 kV.
169 kV.
230 kV.
345 kV.
500 kV.
765 kV.
1100 kV.
Defines common transmission voltage levels.
Gets common transmission voltage level values.
Defines extension functions related to enumeration.
Gets the voltage level for the specified enum value.
Target enum value.
Voltage level for the specified .
Attempts to get the enum value for the source kV .
kV value to attempt to find.
Mapped enum value, if found.
true if matching enum value is found for specified kV
; otherwise, false.
Abstract class that defines coordinate reference systems for projecting
geographical points into pixel (screen) coordinates and back.
http://en.wikipedia.org/wiki/Coordinate_reference_system
Gets the projection used by the CRS.
Gets the transformation used by the CRS.
Translates the given geographical coordinate
to a cartesian point at the given zoom level.
The coordinate to be translated.
The zoom level.
The cartesian point corresponding to the given coordinate.
Translates the given cartesian point to a
geographical coordinate at the given zoom level.
The point to be translated.
The zoom level.
The geographical location of the point.
Returns the scale used when transforming projected coordinates into
pixel coordinates for a particular zoom. For example, it returns
256 * 2^zoom for Mercator-based CRS.
The zoom level.
The scale at the given zoom level.
Returns the zoom level corresponding to the given scale factor.
The scale factor.
The zoom level corresponding to the given scale factor.
Returns the distance between two geographical coordinates.
The first geographical coordinate.
The second geographical coordinate.
The distance between two geographical coordinates.
Serves as the base for CRS that are global such that they cover the earth.
Returns the distance, in meters, between two geographical coordinates.
The first geographical coordinate.
The second geographical coordinate.
The distance between two geographical coordinates.
The most common CRS for online maps.
Uses Spherical Mercator projection.
Creates a new instance of the class.
Gets the projection used by the CRS.
Gets the transformation used by the CRS.
Represents a location in the geographical coordinate system.
Creates a new instance of the class.
The latitude of the geographical coordinate.
The longitude of the geographical coordinate.
Gets the latitude of the geographical coordinate.
Gets the longitude of the geographical coordinate.
Calculates distance between this and another value.
Base on the reference system.
Other .
Distance between two values.
Calculates distance between this and another value.
using the specified
Other .
The used.
Distance between two values.
Defines a map projection to translate geographical
coordinates to points in an xy-coordinate system.
Projects the given coordinates onto the xy-coordinate system.
The geographical coordinates to be projected.
The given coordinates projected onto the xy-coordinate system.
Unprojects the given point to the geographical coordinate system.
The point to be unprojected.
The geographical coordinates of the given point.
Spherical Mercator projection; the most common projection for online maps.
Assumes that Earth is a sphere. Used by the EPSG:3857 CRS.
Radius of the Earth (meters).
The maximum latitude.
Projects the given coordinates onto the xy-coordinate system.
The geographical coordinates to be projected.
The given coordinates projected onto the xy-coordinate system.
Unprojects the given point to the geographical coordinate system.
The point to be unprojected.
The geographical coordinates of the given point.
Represents a linear transformation over an xy-coordinate system.
Creates a new instance of the class.
The scale to be applied to the x-value of the point.
The offset to be applied to the x-value of the point.
The scale to be applied to the y-value of the point.
The offset to be applied to the y-value of the point.
Transforms the given point to another location.
The point to be transformed.
The scale to apply after the transformation.
The transformed point.
Untransforms the given point to its original location.
The transformed point.
The scale that was applied after the transformation.
The original point.
Provides a type converter to convert > values to and from various other representations.
Since reports a type code of , the converter will convert
to and from int values as well as other types supported by .
Represents a 3-byte, 24-bit signed integer.
This class behaves like most other intrinsic signed integers but allows a 3-byte, 24-bit integer implementation
that is often found in many digital-signal processing arenas and different kinds of protocol parsing. A signed
24-bit integer is typically used to save storage space on disk where its value range of -8388608 to 8388607 is
sufficient, but the signed Int16 value range of -32768 to 32767 is too small.
This structure uses an Int32 internally for storage and most other common expected integer functionality, so using
a 24-bit integer will not save memory. However, if the 24-bit signed integer range (-8388608 to 8388607) suits your
data needs you can save disk space by only storing the three bytes that this integer actually consumes. You can do
this by calling the Int24.GetBytes function to return a three byte binary array that can be serialized to the desired
destination and then calling the Int24.GetValue function to restore the Int24 value from those three bytes.
All the standard operators for the Int24 have been fully defined for use with both Int24 and Int32 signed integers;
you should find that without the exception Int24 can be compared and numerically calculated with an Int24 or Int32.
Necessary casting should be minimal and typical use should be very simple - just as if you are using any other native
signed integer.
High byte bit-mask used when a 24-bit integer is stored within a 32-bit integer. This field is constant.
Creates 24-bit signed integer from an existing 24-bit signed integer.
24-but signed integer to create new Int24 from.
Creates 24-bit signed integer from a 32-bit signed integer.
32-bit signed integer to use as new 24-bit signed integer value.
Source values outside 24-bit min/max range will cause an overflow exception.
Creates 24-bit signed integer from three bytes at a specified position in a byte array.
An array of bytes.
The starting position within .
You can use this constructor in-lieu of a System.BitConverter.ToInt24 function.
Bytes endian order assumed to match that of currently executing process architecture (little-endian on Intel platforms).
cannot be null.
is greater than length.
length from is too small to represent a .
Returns the Int24 value as an array of three bytes.
An array of bytes with length 3.
You can use this function in-lieu of a System.BitConverter.GetBytes function.
Bytes will be returned in endian order of currently executing process architecture (little-endian on Intel platforms).
Compares this instance to a specified object and returns an indication of their relative values.
An object to compare, or null.
A signed number indicating the relative values of this instance and value. Returns less than zero
if this instance is less than value, zero if this instance is equal to value, or greater than zero
if this instance is greater than value.
value is not an Int32 or Int24.
Compares this instance to a specified 24-bit signed integer and returns an indication of their
relative values.
An integer to compare.
A signed number indicating the relative values of this instance and value. Returns less than zero
if this instance is less than value, zero if this instance is equal to value, or greater than zero
if this instance is greater than value.
Compares this instance to a specified 32-bit signed integer and returns an indication of their
relative values.
An integer to compare.
A signed number indicating the relative values of this instance and value. Returns less than zero
if this instance is less than value, zero if this instance is equal to value, or greater than zero
if this instance is greater than value.
Returns a value indicating whether this instance is equal to a specified object.
An object to compare, or null.
True if obj is an instance of Int32 or Int24 and equals the value of this instance;
otherwise, False.
Returns a value indicating whether this instance is equal to a specified Int24 value.
An Int24 value to compare to this instance.
True if obj has the same value as this instance; otherwise, False.
Returns a value indicating whether this instance is equal to a specified Int32 value.
An Int32 value to compare to this instance.
True if obj has the same value as this instance; otherwise, False.
Returns the hash code for this instance.
A 32-bit signed integer hash code.
Converts the numeric value of this instance to its equivalent string representation.
The string representation of the value of this instance, consisting of a minus sign if
the value is negative, and a sequence of digits ranging from 0 to 9 with no leading zeroes.
Converts the numeric value of this instance to its equivalent string representation, using
the specified format.
A format string.
The string representation of the value of this instance as specified by format.
Converts the numeric value of this instance to its equivalent string representation using the
specified culture-specific format information.
A that supplies culture-specific formatting information.
The string representation of the value of this instance as specified by provider.
Converts the numeric value of this instance to its equivalent string representation using the
specified format and culture-specific format information.
A format specification.
A that supplies culture-specific formatting information.
The string representation of the value of this instance as specified by format and provider.
Converts the string representation of a number to its 24-bit signed integer equivalent.
A string containing a number to convert.
A 24-bit signed integer equivalent to the number contained in s.
s is null.
s represents a number less than Int24.MinValue or greater than Int24.MaxValue.
s is not in the correct format.
Converts the string representation of a number in a specified style to its 24-bit signed integer equivalent.
A string containing a number to convert.
A bitwise combination of System.Globalization.NumberStyles values that indicates the permitted format of s.
A typical value to specify is System.Globalization.NumberStyles.Integer.
A 24-bit signed integer equivalent to the number contained in s.
style is not a System.Globalization.NumberStyles value. -or- style is not a combination of
System.Globalization.NumberStyles.AllowHexSpecifier and System.Globalization.NumberStyles.HexNumber values.
s is null.
s represents a number less than Int24.MinValue or greater than Int24.MaxValue.
s is not in a format compliant with style.
Converts the string representation of a number in a specified culture-specific format to its 24-bit
signed integer equivalent.
A string containing a number to convert.
A that supplies culture-specific formatting information about s.
A 24-bit signed integer equivalent to the number contained in s.
s is null.
s represents a number less than Int24.MinValue or greater than Int24.MaxValue.
s is not in the correct format.
Converts the string representation of a number in a specified style and culture-specific format to its 24-bit
signed integer equivalent.
A string containing a number to convert.
A bitwise combination of System.Globalization.NumberStyles values that indicates the permitted format of s.
A typical value to specify is System.Globalization.NumberStyles.Integer.
A that supplies culture-specific formatting information about s.
A 24-bit signed integer equivalent to the number contained in s.
style is not a System.Globalization.NumberStyles value. -or- style is not a combination of
System.Globalization.NumberStyles.AllowHexSpecifier and System.Globalization.NumberStyles.HexNumber values.
s is null.
s represents a number less than Int24.MinValue or greater than Int24.MaxValue.
s is not in a format compliant with style.
Converts the string representation of a number to its 24-bit signed integer equivalent. A return value
indicates whether the conversion succeeded or failed.
A string containing a number to convert.
When this method returns, contains the 24-bit signed integer value equivalent to the number contained in s,
if the conversion succeeded, or zero if the conversion failed. The conversion fails if the s parameter is null,
is not of the correct format, or represents a number less than Int24.MinValue or greater than Int24.MaxValue.
This parameter is passed uninitialized.
true if s was converted successfully; otherwise, false.
Converts the string representation of a number in a specified style and culture-specific format to its
24-bit signed integer equivalent. A return value indicates whether the conversion succeeded or failed.
A string containing a number to convert.
A bitwise combination of System.Globalization.NumberStyles values that indicates the permitted format of s.
A typical value to specify is System.Globalization.NumberStyles.Integer.
When this method returns, contains the 24-bit signed integer value equivalent to the number contained in s,
if the conversion succeeded, or zero if the conversion failed. The conversion fails if the s parameter is null,
is not in a format compliant with style, or represents a number less than Int24.MinValue or greater than
Int24.MaxValue. This parameter is passed uninitialized.
A object that supplies culture-specific formatting information about s.
true if s was converted successfully; otherwise, false.
style is not a System.Globalization.NumberStyles value. -or- style is not a combination of
System.Globalization.NumberStyles.AllowHexSpecifier and System.Globalization.NumberStyles.HexNumber values.
Returns the System.TypeCode for value type System.Int32 (there is no defined type code for an Int24).
The enumerated constant, System.TypeCode.Int32.
There is no defined Int24 type code and since an Int24 will easily fit inside an Int32, the
Int32 type code is returned.
Compares the two values for equality.
Left hand operand.
Right hand operand.
Boolean value indicating equality.
Compares the two values for equality.
Left hand operand.
Right hand operand.
Boolean value indicating equality.
Compares the two values for equality.
Left hand operand.
Right hand operand.
Boolean value indicating equality.
Compares the two values for inequality.
Left hand operand.
Right hand operand.
Boolean indicating the result of the inequality.
Compares the two values for inequality.
Left hand operand.
Right hand operand.
Boolean indicating the result of the inequality.
Compares the two values for inequality.
Left hand operand.
Right hand operand.
Boolean indicating the result of the inequality.
Returns true if left value is less than right value.
Left hand operand.
Right hand operand.
Boolean indicating whether the left value was less than the right value.
Returns true if left value is less than right value.
Left hand operand.
Right hand operand.
Boolean indicating whether the left value was less than the right value.
Returns true if left value is less than right value.
Left hand operand.
Right hand operand.
Boolean indicating whether the left value was less than the right value.
Returns true if left value is less or equal to than right value.
Left hand operand.
Right hand operand.
Boolean indicating whether the left value was less than the right value.
Returns true if left value is less or equal to than right value.
Left hand operand.
Right hand operand.
Boolean indicating whether the left value was less than the right value.
Returns true if left value is less or equal to than right value.
Left hand operand.
Right hand operand.
Boolean indicating whether the left value was less than the right value.
Returns true if left value is greater than right value.
Left hand operand.
Right hand operand.
Boolean indicating whether the left value was greater than the right value.
Returns true if left value is greater than right value.
Left hand operand.
Right hand operand.
Boolean indicating whether the left value was greater than the right value.
Returns true if left value is greater than right value.
Left hand operand.
Right hand operand.
Boolean indicating whether the left value was greater than the right value.
Returns true if left value is greater than or equal to right value.
Left hand operand.
Right hand operand.
Boolean indicating whether the left value was greater than or equal to the right value.
Returns true if left value is greater than or equal to right value.
Left hand operand.
Right hand operand.
Boolean indicating whether the left value was greater than or equal to the right value.
Returns true if left value is greater than or equal to right value.
Left hand operand.
Right hand operand.
Boolean indicating whether the left value was greater than or equal to the right value.
Explicitly converts value to an .
Enum value that is converted.
Int24
Explicitly converts value to an .
String value that is converted.
Int24
Explicitly converts value to an .
Decimal value that is converted.
Int24
Explicitly converts value to an .
Double value that is converted.
Int24
Explicitly converts value to an .
Float value that is converted.
Int24
Explicitly converts value to an .
Long value that is converted.
Int24
Explicitly converts value to an .
Integer value that is converted.
Int24
Explicitly converts to .
Int24 value that is converted.
Short
Explicitly converts to .
Int24 value that is converted.
Unsigned Short
Explicitly converts to .
Int24 value that is converted.
Byte
Implicitly converts value to an .
Byte value that is converted to an .
An value.
Implicitly converts value to an .
Char value that is converted to an .
An value.
Implicitly converts value to an .
Short value that is converted to an .
An value.
Implicitly converts to .
value that is converted to an .
An value.
Implicitly converts to .
value that is converted to an unsigned integer.
Unsigned integer
Implicitly converts to .
value that is converted to an .
An value.
Implicitly converts to .
value that is converted to an .
An value.
Implicitly converts to .
value that is converted to an .
A value.
Implicitly converts to .
value that is converted to an .
A value.
Implicitly converts to .
value that is converted to an .
A value.
Implicitly converts to .
value that is converted to an .
A value.
Returns true if value is not zero.
Int24 value to test.
Boolean to indicate whether the value was not equal to zero.
Returns true if value is equal to zero.
Int24 value to test.
Boolean to indicate whether the value was equal to zero.
Returns bitwise complement of value.
value as operand.
as result.
Returns logical bitwise AND of values.
Left hand operand.
Right hand operand.
Int24 as result of operation.
Returns logical bitwise AND of values.
Left hand operand.
Right hand operand.
Integer as result of operation.
Returns logical bitwise AND of values.
Left hand operand.
Right hand operand.
Integer as result of operation.
Returns logical bitwise OR of values.
Left hand operand.
Right hand operand.
Int24 as result of operation.
Returns logical bitwise OR of values.
Left hand operand.
Right hand operand.
Integer as result of operation.
Returns logical bitwise OR of values.
Left hand operand.
Right hand operand.
Integer as result of operation.
Returns logical bitwise exclusive-OR of values.
Left hand operand.
Right hand operand.
Integer value of the resulting exclusive-OR operation.
Returns logical bitwise exclusive-OR of values.
Left hand operand.
Right hand operand.
Integer value of the resulting exclusive-OR operation.
Returns logical bitwise exclusive-OR of values.
Left hand operand.
Right hand operand.
Integer value of the resulting exclusive-OR operation.
Returns value after right shifts of first value by the number of bits specified by second value.
value to shift.
shifts indicates how many places to shift.
An value.
Returns value after left shifts of first value by the number of bits specified by second value.
value to shift.
shifts indicates how many places to shift.
An value.
Returns computed remainder after dividing first value by the second.
value as numerator.
value as denominator.
as remainder
Returns computed remainder after dividing first value by the second.
value as numerator.
value as denominator.
as remainder
Returns computed remainder after dividing first value by the second.
value as numerator.
value as denominator.
as remainder
Returns computed sum of values.
Left hand operand.
Right hand operand.
Int24 result of addition.
Returns computed sum of values.
Left hand operand.
Right hand operand.
Integer result of addition.
Returns computed sum of values.
Left hand operand.
Right hand operand.
Integer result of addition.
Returns computed difference of values.
Left hand operand.
Right hand operand.
Int24 result of subtraction.
Returns computed difference of values.
Left hand operand.
Right hand operand.
Integer result of subtraction.
Returns computed difference of values.
Left hand operand.
Right hand operand.
Integer result of subtraction.
Returns incremented value.
The operand.
Int24 result of increment.
Returns decremented value.
The operand.
Int24 result of decrement.
Returns computed product of values.
value as left hand operand.
value as right hand operand.
as result
Returns computed product of values.
value as left hand operand.
value as right hand operand.
as result
Returns computed product of values.
value as left hand operand.
value as right hand operand.
as result
Returns computed division of values.
Left hand operand.
Right hand operand.
Int24 result of operation.
Returns computed division of values.
Left hand operand.
Right hand operand.
Integer result of operation.
Returns computed division of values.
Left hand operand.
Right hand operand.
Integer result of operation.
Returns result of first value raised to power of second value.
Left hand operand.
Right hand operand.
Double that is the result of the operation.
Returns result of first value raised to power of second value.
Left hand operand.
Right hand operand.
Double that is the result of the operation.
Returns result of first value raised to power of second value.
Left hand operand.
Right hand operand.
Double that is the result of the operation.
Represents the largest possible value of an Int24. This field is constant.
Represents the smallest possible value of an Int24. This field is constant.
Returns the specified Int24 value as an array of three bytes.
Int24 value to convert to bytes.
An array of bytes with length 3.
You can use this function in-lieu of a System.BitConverter.GetBytes(Int24) function.
Bytes will be returned in endian order of currently executing process architecture (little-endian on Intel platforms).
Returns a 24-bit signed integer from three bytes at a specified position in a byte array.
An array of bytes.
The starting position within value.
A 24-bit signed integer formed by three bytes beginning at startIndex.
You can use this function in-lieu of a System.BitConverter.ToInt24 function.
Bytes endian order assumed to match that of currently executing process architecture (little-endian on Intel platforms).
cannot be null.
is greater than length.
length from is too small to represent an .
Defines methods related to big endian operations.
Returns a 24-bit signed integer converted from three bytes, accounting for target endian-order, at a specified position in a byte array.
An array of bytes (i.e., buffer containing binary image of value).
A 24-bit signed integer formed by three bytes beginning at startIndex.
value is null.
startIndex is less than zero or greater than the length of value minus 1.
Returns a 24-bit signed integer converted from three bytes, accounting for target endian-order, at a specified position in a byte array.
An array of bytes (i.e., buffer containing binary image of value).
The starting position within value.
A 24-bit signed integer formed by three bytes beginning at startIndex.
value is null.
startIndex is less than zero or greater than the length of value minus 1.
Returns the specified 24-bit signed integer value as an array of bytes.
The number to convert.
An array of bytes with length 3.
Copies the specified 24-bit signed integer value as an array of 3 bytes in the target endian-order to the destination array.
The number to convert and copy.
The destination buffer.
The byte offset into .
Length of bytes copied into array based on size of .
Copies the specified 24-bit signed integer value as an array of 3 bytes in the target endian-order to the destination array.
The number to convert and copy.
The destination buffer.
Length of bytes copied into array based on size of .
Defines extension methods related to bit operations.
Returns value with specified set.
Value source.
to set.
value with specified set.
Returns value with specified set.
Value source.
Bit-mask of the bits to set.
value with specified set.
Returns value with specified cleared.
Value source.
to clear.
value with specified cleared.
Returns value with specified cleared.
Value source.
Bit-mask of the bits to clear.
value with specified cleared.
Determines if specified are set.
Value source.
to check.
true if specified are set in value; otherwise false.
Determines if specified are set.
Value source.
Bit-mask of the bits to check.
true if specified are set in value; otherwise false.
Determines if specified are set.
Value source.
to check.
true to check if all are set; otherwise false.
true if specified are set in value; otherwise false.
Determines if specified are set.
Value source.
Bit-mask of the bits to check.
true to check if all are set; otherwise false.
true if specified are set in value; otherwise false.
Returns value with specified toggled.
Value source.
to toggle.
value with specified toggled.
Returns value with specified toggled.
Value source.
Bit-mask of the bits to toggle.
value with specified toggled.
Returns value stored in the bits represented by the specified .
Value source.
that make-up the bit-mask.
value.
Returns value stored in the bits represented by the specified .
Value source.
Bit-mask of the bits involved.
value.
Returns value after setting a new for the bits specified by the .
Value source.
that make-up the bit-mask.
New value.
value.
Returns value after setting a new for the bits specified by the .
Value source.
Bit-mask of the bits involved.
New value.
value.
Performs rightwise bit-rotation for the specified number of rotations.
Value used for bit-rotation.
Number of rotations to perform.
Value that has its bits rotated to the right the specified number of times.
Actual rotation direction is from a big-endian perspective - this is an artifact of the native
.NET bit shift operators. As a result bits may actually appear to rotate right on little-endian
architectures.
Performs rightwise bit-rotation for the specified number of rotations.
Value used for bit-rotation.
Number of rotations to perform.
Value that has its bits rotated to the right the specified number of times.
Actual rotation direction is from a big-endian perspective - this is an artifact of the native
.NET bit shift operators. As a result bits may actually appear to rotate left on little-endian
architectures.
Defines methods related to little endian operations.
Returns a 24-bit signed integer converted from three bytes, accounting for target endian-order, at a specified position in a byte array.
An array of bytes (i.e., buffer containing binary image of value).
A 24-bit signed integer formed by three bytes beginning at startIndex.
value is null.
startIndex is less than zero or greater than the length of value minus 1.
Returns a 24-bit signed integer converted from three bytes, accounting for target endian-order, at a specified position in a byte array.
An array of bytes (i.e., buffer containing binary image of value).
The starting position within value.
A 24-bit signed integer formed by three bytes beginning at startIndex.
value is null.
startIndex is less than zero or greater than the length of value minus 1.
Returns the specified 24-bit signed integer value as an array of bytes.
The number to convert.
An array of bytes with length 3.
Copies the specified 24-bit signed integer value as an array of 3 bytes in the target endian-order to the destination array.
The number to convert and copy.
The destination buffer.
The byte offset into .
Length of bytes copied into array based on size of .
Copies the specified 24-bit signed integer value as an array of 3 bytes in the target endian-order to the destination array.
The number to convert and copy.
The destination buffer.
Length of bytes copied into array based on size of .
Function definition for the inverse distance weighting algorithm.
The x-coordinate of the point at which the value is to be calculated.
The y-coordinate of the point at which the value is to be calculated.
The calculated value at the given location.
Function definition for calculating the distance between two points.
The x-coordinate of the first point.
The y-coordinate of the first point.
The x-coordinate of the second point.
The y-coordinate of the second point.
The distance between the two given points.
Represents a function for calculating values
at given coordinates based on sparse data sets.
Usage is similar to the class.
Gets the collection of x-coordinates of points at which the values are known.
Gets the collection of y-coordinates of points at which the values are known.
Gets the collection of values of points at which the values are known.
Gets the power applied to the inverse distance to control the speed of value's decay.
Gets the function to be used to calculate the distance between two points.
Sets the collection of x-coordinates of points at which the values are known.
The x-coordinates of points at which the values are known.
A reference to the inverse distance weighting function.
Sets the collection of y-coordinates of points at which the values are known.
The y-coordinates of points at which the values are known.
A reference to the inverse distance weighting function.
Sets the collection of values of points at which the values are known.
The values of points at which the values are known.
A reference to the inverse distance weighting function.
Sets the power applied to the inverse distance to control the speed of value's decay.
The power applied to the inverse of the distance.
A reference to the inverse distance weighting function.
Larger values increase the speed of decay such that a known value affects a smaller area.
Sets the function to be used to calculate the distance between two points.
The function used to calculate distance between two points.
A reference to the inverse distance weighting function.
Converts the
object to an to start converting values.
The inverse distance weighting function to be converted.
the number of x-coordinates does not equal the number of y-coordinates
- or -
the number of coordinates does not equal the number of values
Calculates the distance between two points.
The x-coordinate of the first point.
The y-coordinate of the first point.
The x-coordinate of the second point.
The y-coordinate of the second point.
Represents a piecebut-three-order Hermite Interpolation similar to Matlab Pchip.
interpolates to find Vq, the values of the underlying function y=F(x) at the query points Xq.
The x-values provided for the estimation of F(x).
The y-values provided for the estimation of y = F(x)
The x values to be estimated
the estimated y-values at location x =
Represents a piecewise linear function for
calculating values between pivot points.
The conversion function returned by this class uses a
binary search algorithm to find the appropriate line segment
to use for the calculation. Therefore, the domain must
be specified either in increasing or decreasing order.
Here is an example of how to use this class.
Func<double, double> piecewiseLinearFunc = new PiecewiseLinearFunction()
.SetDomain(-1, 0, 1)
.SetRange(0, 1, 0);
Console.WriteLine(piecewiseLinearFunc(-10)); // -9
Console.WriteLine(piecewiseLinearFunc(-1)); // 0
Console.WriteLine(piecewiseLinearFunc(-0.5)); // 0.5
Console.WriteLine(piecewiseLinearFunc(0)); // 1
Console.WriteLine(piecewiseLinearFunc(0.5)); // 0.5
Console.WriteLine(piecewiseLinearFunc(1)); // 0
Console.WriteLine(piecewiseLinearFunc(10)); // -9
Gets the x-values of the pivot points in the piecewise linear function.
Gets the y-values of the pivot points in the piecewise linear function.
Sets the x-values of the pivot points in the piecewise linear function.
The x-values of the pivot points.
A reference to the piecewise linear function.
Sets the y-values of the pivot points in the piecewise linear function.
The y-values of the pivot points.
A reference to the piecewise linear function.
Converts the object to a
to start converting values.
The piecewise linear function to be converted.
the size of the domain does not equal the size of the range
- or -
less than two pivot points are defined
One piece of a piecewise polynomial function.
The starting value for the dependent
variable at which the spline was computed.
The coefficients of each term in the polynomial.
The array index matches the exponent to which the x-value is raised.
term[i] = Coefficients[i] * Math.Pow(x - XValue, i);
Creates a new instance of the class.
The starting value for the dependent variable at which the spline was computed.
The coefficients of each term in the polynomial.
Calculates the y-value of the polynomial at the given x-value.
The x-value at which the polynomial should be used to calculate a y-value.
The y-value of the polynomial at the given x-value.
A collection of splines computed through spline interpolation.
The collection of splines used to interpolate a curve.
Creates a new instance of the class.
The collection of splines.
Calculates the interpolated y-value at the given x-value using the appropriate spline.
The x-value from which to calculate the interpolated y-value.
The interpolated y-value at the given x-value.
Computes a cubic spline for interpolating values from the given data set.
The x-values of each sampled data point.
The y-values of each sampled data point.
A representing the collection of splines to be used for interpolation.
Represents a complex number.
Creates a of given size, prepopulated with a value.
The number of columns of this .
The number of rows of this .
The value to populate the with.
Creates a from the given data.
The data of this .
Creates a of repeating rows.
The number of rows of this .
The values of a row of this .
Creates a of repeating columns.
The number of columns of this .
The values of a collumn of this .
Gets the Transpose of the .
Gets the value of this .
Gets the number of columns in this .
Gets the number of rows in this .
Gets the sum of each column of the .
Gets the sum of each row of the .
Accesses the element stored at (i,j)
Accesses the element stored at (i,j)
Returns a resulting from transposing this matrix and multiplying it with a
Returns a resulting from transposing this matrix and multiplying it with a 1xN
Applies the given function to each row of the .
Applies the given function to each column of the .
Applies the given function to each column of the .
Function does not mutate this , it returns a new .
Applies the given function to each value of the .
returns the speciefied row of the Matrix
returns the specified column of the Matrix
Gets a submatrix of the starting at the given row and column, with the given number of rows and columns.
the first row of the submatrix.
the first column of the submarix.
the number of rows of the submatrix.
the number of columns of the submatrix.
A new that is the submatrix speciffied.
Returns the solution for Ax = B, given this as A and the arg as B.
Uses a reduced row echelon algorithm.
Returns the solution for Ax = B, given this as A and the arg as B.
Uses a least squares algorithm.
Returns the inverse of the matrix.
Does an LUP Decomposition.
The Lower Triangular Matrix
The upper Triangular Matrix
The Permutation Matrix, represented by a vector of row order P
Implicitly converts a to a .
Operand.
ComplexNumber representing the result of the operation.
Implicitly converts a to a .NET value.
Operand.
Complex representing the result of the operation.
Returns the negated value.
Left hand operand.
ComplexNumber representing the result of the unary negation operation.
Returns computed sum of values.
Left hand operand.
Right hand operand.
representing the result of the addition operation.
Returns computed sum of values.
Left hand operand.
Right hand operand.
representing the result of the addition operation.
Returns computed difference of values.
Left hand operand.
Right hand operand.
representing the result of the subtraction operation.
Returns computed product of values.
Left hand operand.
Right hand operand.
representing the result of the multiplication operation.
Returns computed product of values.
Left hand operand.
Right hand operand.
representing the result of the multiplication operation.
Returns computed product of values.
Left hand operand.
Right hand operand.
representing the result of the multiplication operation.
The namespace organizes all Gemstone library functionality
related to numerics. The root numeric namespace also includes common numeric classes,
e.g., and .
Represents a radix value codec for conversion of base-10 integer values to and from other base values.
The primary use case of this class is to provide compact string encodings of integer values.
The encodings produced by this class do not manage arbitrary sized bytes arrays, nor do they
include padding - as a result, encodings are not intended to comply with RFC 3548.
Defines the available digits for a radix value codec.
Creates a new .
Digits to use for radix values.
Determines if alphabetic radix characters are case sensitive.
Converts integer value to a radix value.
Integer value to convert.
Radix value string.
Converts integer value to a radix value.
Integer value to convert.
Radix value string.
Converts integer value to a radix value.
Integer value to convert.
Radix value string.
Converts integer value to a radix value.
Integer value to convert.
Radix value string.
Converts integer value to a radix value.
Integer value to convert.
Radix value string.
Converts integer value to a radix value.
Integer value to convert.
Radix value string.
Converts integer value to a radix value.
Integer value to convert.
Radix value string.
Converts integer value to a radix value.
Integer value to convert.
Radix value string.
Attempts to convert a radix value to an integer value.
Radix value to convert.
Decoded integer value.
true if decode succeeds; otherwise, false.
Attempts to convert a radix value to an integer value.
Radix value to convert.
Decoded integer value.
true if decode succeeds; otherwise, false.
Attempts to convert a radix value to an integer value.
Radix value to convert.
Decoded integer value.
true if decode succeeds; otherwise, false.
Attempts to convert a radix value to an integer value.
Radix value to convert.
Decoded integer value.
true if decode succeeds; otherwise, false.
Attempts to convert a radix value to an integer value.
Radix value to convert.
Decoded integer value.
true if decode succeeds; otherwise, false.
Attempts to convert a radix value to an integer value.
Radix value to convert.
Decoded integer value.
true if decode succeeds; otherwise, false.
Attempts to convert a radix value to an integer value.
Radix value to convert.
Decoded integer value.
true if decode succeeds; otherwise, false.
Attempts to convert a radix value to an integer value.
Radix value to convert.
Decoded integer value.
true if decode succeeds; otherwise, false.
Converts a radix value to an integer value.
Integer type to convert
Radix value to convert.
Decoded integer value.
Radix value is null.
Invalid radix value character.
Decoded radix value overflowed integer type.
Only integer types Int16, UInt16, Int24, UInt24, Int32, UInt32, Int64 and UInt64 are supported.
Converts a radix value to an integer value.
Integer type to convert.
Radix value to convert.
Decoded integer value.
Radix value is null.
Invalid radix value character.
Decoded radix value overflowed integer type.
Only integer types Int16, UInt16, Int24, UInt24, Int32, UInt32, Int64 and UInt64 are supported.
Gets a radix-2 value (binary) encoding.
int.MaxValue encodes to "1111111111111111111111111111111", 31 characters
int.MinValue encodes to "-10000000000000000000000000000000", 33 characters
uint.MaxValue encodes to "11111111111111111111111111111111", 32 characters
long.MaxValue encodes to "111111111111111111111111111111111111111111111111111111111111111", 63 characters
long.MinValue encodes to "-1000000000000000000000000000000000000000000000000000000000000000", 65 characters
ulong.MaxValue encodes to "1111111111111111111111111111111111111111111111111111111111111111", 64 characters
12
Gets a radix-8 value (octal) encoding.
int.MaxValue encodes to "17777777777", 11 characters
int.MinValue encodes to "-20000000000", 12 characters
uint.MaxValue encodes to "37777777777", 11 characters
long.MaxValue encodes to "777777777777777777777", 21 characters
long.MinValue encodes to "-1000000000000000000000", 23 characters
ulong.MaxValue encodes to "1777777777777777777777", 22 characters
12345678
Gets a radix-16 value (hex) encoding.
int.MaxValue encodes to "7FFFFFFF", 8 characters
int.MinValue encodes to "-80000000", 9 characters
uint.MaxValue encodes to "FFFFFFFF", 8 characters
long.MaxValue encodes to "7FFFFFFFFFFFFFFF", 16 characters
long.MinValue encodes to "-8000000000000000", 17 characters
ulong.MaxValue encodes to "FFFFFFFFFFFFFFFF", 16 characters
1234567890123456
Gets a radix-32 value encoding.
int.MaxValue encodes to "1VVVVVV", 7 characters
int.MinValue encodes to "-2000000", 8 characters
uint.MaxValue encodes to "3VVVVVV", 7 characters
long.MaxValue encodes to "7VVVVVVVVVVVV", 13 characters
long.MinValue encodes to "-8000000000000", 14 characters
ulong.MaxValue encodes to "FVVVVVVVVVVVV", 13 characters
12345678901234567890123456789012
Gets a radix-36 value encoding.
int.MaxValue encodes to "ZIK0ZJ", 6 characters -- ideal int size with reduced digit set
int.MinValue encodes to "-ZIK0ZK", 7 characters
uint.MaxValue encodes to "1Z141Z3", 7 characters
long.MaxValue encodes to "1Y2P0IJ32E8E7", 13 characters
long.MinValue encodes to "-1Y2P0IJ32E8E8", 14 characters
ulong.MaxValue encodes to "3W5E11264SGSF", 13 characters
123456789012345678901234567890123456
Gets a radix-64 value encoding.
int.MaxValue encodes to "1/////", 6 characters
int.MinValue encodes to "-200000", 7 characters
uint.MaxValue encodes to "3/////", 6 characters
long.MaxValue encodes to "7//////////", 11 characters
long.MinValue encodes to "-80000000000", 12 characters
ulong.MaxValue encodes to "F//////////", 11 characters
1234567890123456789012345678901234567890123456789012345678901234
Gets a radix-86 value encoding.
int.MaxValue encodes to "$S2Jx", 5 characters -- base 86 reduces int size to 5
int.MinValue encodes to "-$S2Jy", 6 characters
uint.MaxValue encodes to "1qu4dh", 6 characters
long.MaxValue encodes to "1X2qL^UmlIt", 11 characters
long.MinValue encodes to "-1X2qL^UmlIu", 12 characters
ulong.MaxValue encodes to "2&5Sh]zLIbZ", 11 characters
1234567890123456789012345678901234567890123456789012345678901234567890123456
Discrete Pseudo-Random number distributed across Uniform(lower limit, upper limit)
Property holding the actual value of the Discrete Unif(lower limit, upper limit) random number.
Uniform(0,1)
Upper limit of distribution
Lower limit of distribution
Generates Normal(mean,variance) distribution, full period cycle length > 2 billion
Instantiates Normal distribution generator to Normal(mean,variance)
Seed value for Uniform generator
Upper limit of distribution
Lower limit of distribution
Gets next in the sequence
Gets the next n number of
Pseudo-Random number distributed across Geometric(probability)
Property holding the actual value of the Geometric(probability) random number.
Transforms a Uniform(0,1) into a Geometric(probability)
Uniform(0,1)
Probability of bernoulli trial success
Generates Geometric(probability) distribution, full period cycle length > 2 billion
Instantiates Normal distribution generator to Geometric(probability)
Seed value for Uniform generator
Probability of bernoulli trial success
Gets next in the sequence
Gets the next n number of
Pseudo-Random number distributed across LogNormal(mean,variance)
Property holding the actual value of the LogNormal(mean,variance) random number.
Transforms a Uniform(0,1) into a LogNormal(mean,variance)
Uniform(0,1)
Power of the Log Normal distribution
Mean of the Normal distribution
Variance of the Normal distribution
Generates LogNormal(mean,variance) distribution, full period cycle length > 2 billion
Instantiates Normal distribution generator to LogNormal(mean,variance)
Seed value for Uniform generator
Power of the Log Normal distribution
Mean of the Normal distribution
Variance of the Normal distribution
Gets next in the sequence
Gets the next n number of
Pseudo-Random number distributed across Normal(mean,variance)
Property holding the actual value of the Normal(mean,variance) random number.
Transforms a Uniform(0,1) into a Normal(mean,variance)
Uniform(0,1)
Mean of the Normal distribution
Variance of the Normal distribution
Generates Normal(mean,variance) distribution, full period cycle length > 2 billion
Instantiates Normal distribution generator to Normal(mean,variance)
Seed value for Uniform generator
Mean of the Normal distribution
Variance of the Normal distribution
Gets next in the sequence
Gets the next n number of
Extension functions for Random number generation.
Linq extension function used to Transform an enumerable of to an enumerable of
enumerable of
Probability of bernoulli trial success
Linq extension function used to Transform an enumerable of to an enumerable of
enumerable of
Mean of normal distribution
Variance of normal distribution
Linq extension function used to Transform an enumerable of to an enumerable of
enumerable of
Power of the Log Normal distribution
Mean of normal distribution
Variance of normal distribution
Linq extension function used to Transform an enumerable of to an enumerable of
enumerable of
Upper limit of distribution
Lower limit of distribution
Pseudo-Random Autoregressive generated Random number
Constructor to set Value of random variate.
used to set Value.
Value of random variate
Generates specifed order Autoregressive time-series distribution, full period cycle length > 2 billion
Instantiates Autoregressive time series generator.
Seed value for Uniform generator
Moving Average order
ordered phis phi i-1, phi i-2, etc
Mean of the Normal distribution
Variance of the Normal distribution
Gets next in the sequence
Gets the next n number of
Pseudo-Random Moving Average generated Random number
Constructor to set Value of random variate.
used to set Value.
Value of random variate
Generates specifed order Moving Average time-series distribution, full period cycle length > 2 billion
Instantiates Moving Average generator.
Seed value for Uniform generator
Moving Average order
Array of lambda values, ordered lambda i-1, lamda i-2, etc
Mean of the Normal distribution
Variance of the Normal distribution
Gets next in the sequence
Gets the next n number of
Pseudo-Random number distributed across the Uniform(0,1) distribution
Takes a between zero and 1 and sets the Value.
used to set Value.
Property holding the actual value of the Uniform random number.
Based on 16807 (BFS 1987) LCG implementation, full period cycle length > 2 billion, generates Uniform(0,1) distribution
Instantiates generator with given seed
value used to set generator seed.
Gets next in the sequence
Gets the next n number of
Provides a type converter to convert > values to and from various other representations.
Since reports a type code of , the converter will convert
to and from uint values as well as other types supported by .
Represents a 3-byte, 24-bit unsigned integer.
This class behaves like most other intrinsic unsigned integers but allows a 3-byte, 24-bit integer implementation
that is often found in many digital-signal processing arenas and different kinds of protocol parsing. An unsigned
24-bit integer is typically used to save storage space on disk where its value range of 0 to 16777215 is sufficient,
but the unsigned Int16 value range of 0 to 65535 is too small.
This structure uses an UInt32 internally for storage and most other common expected integer functionality, so using
a 24-bit integer will not save memory. However, if the 24-bit unsigned integer range (0 to 16777215) suits your
data needs you can save disk space by only storing the three bytes that this integer actually consumes. You can do
this by calling the UInt24.GetBytes function to return a three byte binary array that can be serialized to the desired
destination and then calling the UInt24.GetValue function to restore the UInt24 value from those three bytes.
All the standard operators for the UInt24 have been fully defined for use with both UInt24 and UInt32 unsigned integers;
you should find that without the exception UInt24 can be compared and numerically calculated with an UInt24 or UInt32.
Necessary casting should be minimal and typical use should be very simple - just as if you are using any other native
unsigned integer.
High byte bit-mask used when a 24-bit integer is stored within a 32-bit integer. This field is constant.
Creates 24-bit unsigned integer from an existing 24-bit unsigned integer.
A to create the new value from.
Creates 24-bit unsigned integer from a 32-bit unsigned integer.
32-bit unsigned integer to use as new 24-bit unsigned integer value.
Source values over 24-bit max range will cause an overflow exception.
Creates 24-bit unsigned integer from three bytes at a specified position in a byte array.
An array of bytes.
The starting position within .
You can use this constructor in-lieu of a System.BitConverter.ToUInt24 function.
Bytes endian order assumed to match that of currently executing process architecture (little-endian on Intel platforms).
cannot be null.
is greater than length.
length from is too small to represent a .
Returns the UInt24 value as an array of three bytes.
An array of bytes with length 3.
You can use this function in-lieu of a System.BitConverter.GetBytes function.
Bytes will be returned in endian order of currently executing process architecture (little-endian on Intel platforms).
Compares this instance to a specified object and returns an indication of their relative values.
An object to compare, or null.
A signed number indicating the relative values of this instance and value. Returns less than zero
if this instance is less than value, zero if this instance is equal to value, or greater than zero
if this instance is greater than value.
value is not an UInt32 or UInt24.
Compares this instance to a specified 24-bit unsigned integer and returns an indication of their
relative values.
An integer to compare.
A signed number indicating the relative values of this instance and value. Returns less than zero
if this instance is less than value, zero if this instance is equal to value, or greater than zero
if this instance is greater than value.
Compares this instance to a specified 32-bit unsigned integer and returns an indication of their
relative values.
An integer to compare.
A signed number indicating the relative values of this instance and value. Returns less than zero
if this instance is less than value, zero if this instance is equal to value, or greater than zero
if this instance is greater than value.
Returns a value indicating whether this instance is equal to a specified object.
An object to compare, or null.
True if obj is an instance of UInt32 or UInt24 and equals the value of this instance;
otherwise, False.
Returns a value indicating whether this instance is equal to a specified UInt24 value.
An UInt24 value to compare to this instance.
True if obj has the same value as this instance; otherwise, False.
Returns a value indicating whether this instance is equal to a specified uint value.
An UInt32 value to compare to this instance.
True if obj has the same value as this instance; otherwise, False.
Returns the hash code for this instance.
A 32-bit unsigned integer hash code.
Converts the numeric value of this instance to its equivalent string representation.
The string representation of the value of this instance, consisting of a minus sign if
the value is negative, and a sequence of digits ranging from 0 to 9 with no leading zeroes.
Converts the numeric value of this instance to its equivalent string representation, using
the specified format.
A format string.
The string representation of the value of this instance as specified by format.
Converts the numeric value of this instance to its equivalent string representation using the
specified culture-specific format information.
A that supplies culture-specific formatting information.
The string representation of the value of this instance as specified by provider.
Converts the numeric value of this instance to its equivalent string representation using the
specified format and culture-specific format information.
A format specification.
A that supplies culture-specific formatting information.
The string representation of the value of this instance as specified by format and provider.
Converts the string representation of a number to its 24-bit unsigned integer equivalent.
A string containing a number to convert.
A 24-bit unsigned integer equivalent to the number contained in s.
s is null.
s represents a number less than UInt24.MinValue or greater than UInt24.MaxValue.
s is not in the correct format.
Converts the string representation of a number in a specified style to its 24-bit unsigned integer equivalent.
A string containing a number to convert.
A bitwise combination of System.Globalization.NumberStyles values that indicates the permitted format of s.
A typical value to specify is System.Globalization.NumberStyles.Integer.
A 24-bit unsigned integer equivalent to the number contained in s.
style is not a System.Globalization.NumberStyles value. -or- style is not a combination of
System.Globalization.NumberStyles.AllowHexSpecifier and System.Globalization.NumberStyles.HexNumber values.
s is null.
s represents a number less than UInt24.MinValue or greater than UInt24.MaxValue.
s is not in a format compliant with style.
Converts the string representation of a number in a specified culture-specific format to its 24-bit
unsigned integer equivalent.
A string containing a number to convert.
A that supplies culture-specific formatting information about s.
A 24-bit unsigned integer equivalent to the number contained in s.
s is null.
s represents a number less than UInt24.MinValue or greater than UInt24.MaxValue.
s is not in the correct format.
Converts the string representation of a number in a specified style and culture-specific format to its 24-bit
unsigned integer equivalent.
A string containing a number to convert.
A bitwise combination of System.Globalization.NumberStyles values that indicates the permitted format of s.
A typical value to specify is System.Globalization.NumberStyles.Integer.
A that supplies culture-specific formatting information about s.
A 24-bit unsigned integer equivalent to the number contained in s.
style is not a System.Globalization.NumberStyles value. -or- style is not a combination of
System.Globalization.NumberStyles.AllowHexSpecifier and System.Globalization.NumberStyles.HexNumber values.
s is null.
s represents a number less than UInt24.MinValue or greater than UInt24.MaxValue.
s is not in a format compliant with style.
Converts the string representation of a number to its 24-bit unsigned integer equivalent. A return value
indicates whether the conversion succeeded or failed.
A string containing a number to convert.
When this method returns, contains the 24-bit unsigned integer value equivalent to the number contained in s,
if the conversion succeeded, or zero if the conversion failed. The conversion fails if the s parameter is null,
is not of the correct format, or represents a number less than UInt24.MinValue or greater than UInt24.MaxValue.
This parameter is passed uninitialized.
true if s was converted successfully; otherwise, false.
Converts the string representation of a number in a specified style and culture-specific format to its
24-bit unsigned integer equivalent. A return value indicates whether the conversion succeeded or failed.
A string containing a number to convert.
A bitwise combination of System.Globalization.NumberStyles values that indicates the permitted format of s.
A typical value to specify is System.Globalization.NumberStyles.Integer.
When this method returns, contains the 24-bit unsigned integer value equivalent to the number contained in s,
if the conversion succeeded, or zero if the conversion failed. The conversion fails if the s parameter is null,
is not in a format compliant with style, or represents a number less than UInt24.MinValue or greater than
UInt24.MaxValue. This parameter is passed uninitialized.
A object that supplies culture-specific formatting information about s.
true if s was converted successfully; otherwise, false.
style is not a System.Globalization.NumberStyles value. -or- style is not a combination of
System.Globalization.NumberStyles.AllowHexSpecifier and System.Globalization.NumberStyles.HexNumber values.
Returns the System.TypeCode for value type System.UInt32 (there is no defined type code for an UInt24).
The enumerated constant, System.TypeCode.UInt32.
There is no defined UInt24 type code and since an UInt24 will easily fit inside an UInt32, the
UInt32 type code is returned.
Compares the two values for equality.
left hand operand.
right hand operand.
value representing the result.
Compares the two values for equality.
left hand operand.
right hand operand.
value representing the result.
Compares the two values for equality.
left hand operand.
right hand operand.
value representing the result.
Compares the two values for inequality.
left hand operand.
right hand operand.
value representing the result.
Compares the two values for inequality.
left hand operand.
right hand operand.
value representing the result.
Compares the two values for inequality.
left hand operand.
right hand operand.
value representing the result.
Returns true if left value is less than right value.
left hand operand.
right hand operand.
value representing the result.
Returns true if left value is less than right value.
left hand operand.
right hand operand.
value representing the result.
Returns true if left value is less than right value.
left hand operand.
right hand operand.
value representing the result.
Returns true if left value is less or equal to than right value.
left hand operand.
right hand operand.
value representing the result.
Returns true if left value is less or equal to than right value.
left hand operand.
right hand operand.
value representing the result.
Returns true if left value is less or equal to than right value.
left hand operand.
right hand operand.
value representing the result.
Returns true if left value is greater than right value.
left hand operand.
right hand operand.
value representing the result.
Returns true if left value is greater than right value.
left hand operand.
right hand operand.
value representing the result.
Returns true if left value is greater than right value.
left hand operand.
right hand operand.
value representing the result.
Returns true if left value is greater than or equal to right value.
left hand operand.
right hand operand.
value representing the result.
Returns true if left value is greater than or equal to right value.
left hand operand.
right hand operand.
value representing the result.
Returns true if left value is greater than or equal to right value.
left hand operand.
right hand operand.
value representing the result.
Explicitly converts value to an .
value to be converted.
value that is the result of the conversion.
Explicitly converts value to an .
value to be converted.
value that is the result of the conversion.
Explicitly converts value to an .
value to be converted.
value that is the result of the conversion.
Explicitly converts value to an .
value to be converted.
value that is the result of the conversion.
Explicitly converts value to an .
value to be converted.
value that is the result of the conversion.
Explicitly converts value to an .
value to be converted.
value that is the result of the conversion.
Explicitly converts value to an .
value to be converted.
value that is the result of the conversion.
Explicitly converts value to an .
value to be converted.
value that is the result of the conversion.
Explicitly converts value to an .
value to be converted.
value that is the result of the conversion.
Explicitly converts to .
value to be converted.
value that is the result of the conversion.
Explicitly converts to .
value to be converted.
value that is the result of the conversion.
Explicitly converts to .
value to be converted.
value that is the result of the conversion.
Implicitly converts value to an .
value to be converted.
value that is the result of the conversion.
Implicitly converts value to an .
value to be converted.
value that is the result of the conversion.
Implicitly converts value to an .
value to be converted.
value that is the result of the conversion.
Implicitly converts to .
value to be converted.
value that is the result of the conversion.
Implicitly converts to .
value to be converted.
value that is the result of the conversion.
Implicitly converts to .
value to be converted.
value that is the result of the conversion.
Implicitly converts to .
value to be converted.
value that is the result of the conversion.
Implicitly converts to .
value to be converted.
value that is the result of the conversion.
Implicitly converts to .
value to be converted.
value that is the result of the conversion.
Implicitly converts to .
value to be converted.
value that is the result of the conversion.
Implicitly converts to .
value to be converted.
value that is the result of the conversion.
Returns true if value is greater than zero.
value to evaluate.
value indicating whether the value is greater than zero.
Returns true if value is equal to zero.
value to evaluate.
value indicating whether the value is equal than zero.
Returns bitwise complement of value.
value to evaluate.
value representing the complement of the input value.
Returns logical bitwise AND of values.
left hand operand.
right hand operand.
value representing the logical bitwise AND of the values.
Returns logical bitwise AND of values.
left hand operand.
right hand operand.
value representing the logical bitwise AND of the values.
Returns logical bitwise AND of values.
left hand operand.
right hand operand.
value representing the logical bitwise AND of the values.
Returns logical bitwise OR of values.
left hand operand.
right hand operand.
value representing the logical bitwise OR of the values.
Returns logical bitwise OR of values.
left hand operand.
right hand operand.
value representing the logical bitwise OR of the values.
Returns logical bitwise OR of values.
left hand operand.
right hand operand.
value representing the logical bitwise OR of the values.
Returns logical bitwise exclusive-OR of values.
left hand operand.
right hand operand.
value representing the logical bitwise exclusive-OR of the values.
Returns logical bitwise exclusive-OR of values.
left hand operand.
right hand operand.
value representing the logical bitwise exclusive-OR of the values.
Returns logical bitwise exclusive-OR of values.
left hand operand.
right hand operand.
value representing the logical bitwise exclusive-OR of the values.
Returns value after right shifts of first value by the number of bits specified by second value.
value to right shift.
value indicating the number of bits to right shift by.
value as result of right shift operation.
Returns value after left shifts of first value by the number of bits specified by second value.
value to left shift.
value indicating the number of bits to left shift by.
value as result of left shift operation.
Returns computed remainder after dividing first value by the second.
left hand operand.
right hand operand.
value as result of modulus operation.
Returns computed remainder after dividing first value by the second.
left hand operand.
right hand operand.
value as result of modulus operation.
Returns computed remainder after dividing first value by the second.
left hand operand.
right hand operand.
value as result of modulus operation.
Returns computed sum of values.
left hand operand.
right hand operand.
value as result of addition operation.
Returns computed sum of values.
left hand operand.
right hand operand.
value as result of addition operation.
Returns computed sum of values.
left hand operand.
right hand operand.
value as result of addition operation.
Returns computed difference of values.
left hand operand.
right hand operand.
value as result of subtraction operation.
Returns computed difference of values.
left hand operand.
right hand operand.
value as result of subtraction operation.
Returns computed difference of values.
left hand operand.
right hand operand.
value as result of subtraction operation.
Returns incremented value.
The operand.
result of increment.
Returns decremented value.
The operand.
result of decrement.
Returns computed product of values.
left hand operand.
right hand operand.
value as result of multiplication operation.
Returns computed product of values.
left hand operand.
right hand operand.
value as result of multiplication operation.
Returns computed product of values.
left hand operand.
right hand operand.
value as result of multiplication operation.
Returns computed division of values.
left hand operand.
right hand operand.
value as result of division operation.
Returns computed division of values.
left hand operand.
right hand operand.
value as result of division operation.
Returns computed division of values.
left hand operand.
right hand operand.
value as result of division operation.
Returns result of first value raised to power of second value.
left hand operand.
right hand operand.
value as result of operation.
Returns result of first value raised to power of second value.
left hand operand.
right hand operand.
value as result of operation.
Returns result of first value raised to power of second value.
left hand operand.
right hand operand.
value as result of operation.
Represents the largest possible value of an Int24. This field is constant.
Represents the smallest possible value of an Int24. This field is constant.
Returns the specified UInt24 value as an array of three bytes.
UInt24 value to convert to bytes.
An array of bytes with length 3.
You can use this function in-lieu of a System.BitConverter.GetBytes(UInt24) function.
Bytes will be returned in endian order of currently executing process architecture (little-endian on Intel platforms).
Returns a 24-bit unsigned integer from three bytes at a specified position in a byte array.
An array of bytes.
The starting position within value.
A 24-bit unsigned integer formed by three bytes beginning at startIndex.
You can use this function in-lieu of a System.BitConverter.ToUInt24 function.
Bytes endian order assumed to match that of currently executing process architecture (little-endian on Intel platforms).
cannot be null.
is greater than length.
length from is too small to represent an .
Defines methods related to big endian operations.
Returns a 24-bit unsigned integer converted from three bytes, accounting for target endian-order, at a specified position in a byte array.
An array of bytes (i.e., buffer containing binary image of value).
A 24-bit unsigned integer formed by three bytes beginning at startIndex.
value is null.
startIndex is less than zero or greater than the length of value minus 1.
Returns a 24-bit unsigned integer converted from three bytes, accounting for target endian-order, at a specified position in a byte array.
An array of bytes (i.e., buffer containing binary image of value).
The starting position within value.
A 24-bit unsigned integer formed by three bytes beginning at startIndex.
value is null.
startIndex is less than zero or greater than the length of value minus 1.
Returns the specified 24-bit unsigned integer value as an array of bytes.
The number to convert.
An array of bytes with length 3.
Copies the specified 24-bit unsigned integer value as an array of 3 bytes in the target endian-order to the destination array.
The number to convert and copy.
The destination buffer.
The byte offset into .
Length of bytes copied into array based on size of .
Copies the specified 24-bit unsigned integer value as an array of 3 bytes in the target endian-order to the destination array.
The number to convert and copy.
The destination buffer.
Length of bytes copied into array based on size of .
Defines extension methods related to bit operations.
Returns value with specified set.
Value source.
to set.
value with specified set.
Returns value with specified set.
Value source.
Bit-mask of the bits to set.
value with specified set.
Returns value with specified cleared.
Value source.
to clear.
value with specified cleared.
Returns value with specified cleared.
Value source.
Bit-mask of the bits to clear.
value with specified cleared.
Determines if specified are set.
Value source.
to check.
true if specified are set in value; otherwise false.
Determines if specified are set.
Value source.
Bit-mask of the bits to check.
true if specified are set in value; otherwise false.
Determines if specified are set.
Value source.
to check.
true to check if all are set; otherwise false.
true if specified are set in value; otherwise false.
Determines if specified are set.
Value source.
Bit-mask of the bits to check.
true to check if all are set; otherwise false.
true if specified are set in value; otherwise false.
Returns value with specified toggled.
Value source.
to toggle.
value with specified toggled.
Returns value with specified toggled.
Value source.
Bit-mask of the bits to toggle.
value with specified toggled.
Returns value stored in the bits represented by the specified .
Value source.
that make-up the bit-mask.
value.
Returns value stored in the bits represented by the specified .
Value source.
Bit-mask of the bits involved.
value.
Returns value after setting a new for the bits specified by the .
Value source.
that make-up the bit-mask.
New value.
value.
Returns value after setting a new for the bits specified by the .
Value source.
Bit-mask of the bits involved.
New value.
value.
Performs rightwise bit-rotation for the specified number of rotations.
Value used for bit-rotation.
Number of rotations to perform.
Value that has its bits rotated to the right the specified number of times.
Actual rotation direction is from a big-endian perspective - this is an artifact of the native
.NET bit shift operators. As a result bits may actually appear to rotate right on little-endian
architectures.
Performs rightwise bit-rotation for the specified number of rotations.
Value used for bit-rotation.
Number of rotations to perform.
Value that has its bits rotated to the right the specified number of times.
Actual rotation direction is from a big-endian perspective - this is an artifact of the native
.NET bit shift operators. As a result bits may actually appear to rotate left on little-endian
architectures.
Defines methods related to little endian operations.
Returns a 24-bit unsigned integer converted from three bytes, accounting for target endian-order, at a specified position in a byte array.
An array of bytes (i.e., buffer containing binary image of value).
A 24-bit unsigned integer formed by three bytes beginning at startIndex.
value is null.
startIndex is less than zero or greater than the length of value minus 1.
Returns a 24-bit unsigned integer converted from three bytes, accounting for target endian-order, at a specified position in a byte array.
An array of bytes (i.e., buffer containing binary image of value).
The starting position within value.
A 24-bit unsigned integer formed by three bytes beginning at startIndex.
value is null.
startIndex is less than zero or greater than the length of value minus 1.
Returns the specified 24-bit unsigned integer value as an array of bytes.
The number to convert.
An array of bytes with length 3.
Copies the specified 24-bit unsigned integer value as an array of 3 bytes in the target endian-order to the destination array.
The number to convert and copy.
The destination buffer.
The byte offset into .
Length of bytes copied into array based on size of .
Copies the specified 24-bit unsigned integer value as an array of 3 bytes in the target endian-order to the destination array.
The number to convert and copy.
The destination buffer.
Length of bytes copied into array based on size of .
Contains numeric extension methods for types in namespace.
Defines extension functions related to unit structures.
Gets the equivalent angle moved within the range of
and + 2.0 * .
Source angle.
The minimum value of the range.
Indicates whether the range is inclusive of the minimum value.
The equivalent angle within the specified range.
Unwraps a set of values so a comparable mathematical operation can be applied.
Sequence of values to unwrap.
Unwrapped set of values.
For Angles that wrap, e.g., between -180 and +180, this algorithm unwraps the values to make the values mathematically comparable.
Calculates an average of the specified sequence of values.
Sequence of values over which to calculate average.
Average of the specified sequence of values.
For Angles that wrap, e.g., between -180 and +180, this algorithm takes the wrapping into account when calculating the average.