Class ExMMod
See ExM. This class contains functions related to mod (remainder) operations.
Inheritance
System.Object
ExMMod
Inherited Members
System.Object.ToString()
System.Object.Equals(System.Object)
System.Object.Equals(System.Object, System.Object)
System.Object.ReferenceEquals(System.Object, System.Object)
System.Object.GetHashCode()
System.Object.GetType()
System.Object.MemberwiseClone()
Assembly: cs.temp.dll.dll
Syntax
public static class ExMMod
Methods
FlipXMod(tfloat, tfloat)
Returns v if x is even,
and 180-v if x is odd.
Declaration
public static tfloat FlipXMod(tfloat x, tfloat v)
Parameters
| Type |
Name |
Description |
| tfloat |
x |
|
| tfloat |
v |
|
Returns
FlipXPMMod(tfloat, tfloat)
Returns v if x is 1,
and 180-v if x is -1.
Declaration
public static tfloat FlipXPMMod(tfloat x, tfloat v)
Parameters
| Type |
Name |
Description |
| tfloat |
x |
|
| tfloat |
v |
|
Returns
HMod(tfloat, tfloat)
Use this to draw "wings" where both go in the same direction.
Odd by: 0 is the center, [1,by/2-0.5] are one wing, and [by/2+0.5,by) are the other.
Even by: [0, by/2) are one wing, [by/2, by) are the other.
Declaration
public static tfloat HMod(tfloat by, tfloat x)
Parameters
| Type |
Name |
Description |
| tfloat |
by |
Period (note all values are in the range [0, by/2-0.5]
|
| tfloat |
x |
Value
|
Returns
Examples
HMod(X(), 9)(0) = HMod(X(), 9)(9) = 0
HMod(X(), 9)(1) = 1
HMod(X(), 9)(5) = 1
HMod(X(), 9)(8) = 4
HMod(X(), 8)(0) = HMod(X(), 8)(8) = HMod(X(), 8)(4) = 0
HMod(X(), 8)(2) = 2
HMod(X(), 8)(6) = 2
HNMod(tfloat, tfloat)
Use this to draw "wings" where both go in opposite directions.
Odd by: 0 is the center, [1,by/2-0.5] are one wing, and [by/2+0.5,by) are the other.
Even by: [0, by/2) are one wing, [by/2, by) are the other.
Declaration
public static tfloat HNMod(tfloat by, tfloat x)
Parameters
| Type |
Name |
Description |
| tfloat |
by |
Period
|
| tfloat |
x |
Target function
|
Returns
Examples
HNMod(X(), 9)(0) = HNMod(X(), 9)(9) = 0
HNMod(X(), 9)(1) = 1
HNMod(X(), 9)(5) = -1
HNMod(X(), 9)(8) = -4
HNMod(X(), 8)(0) = HNMod(X(), 8)(8) = 0.5
HNMod(X(), 8)(3) = 3.5
HNMod(X(), 8)(4) = -0.5
Mod(tfloat, tfloat)
Get the modulo (nonnegative) of one number by another.
Declaration
public static tfloat Mod(tfloat by, tfloat x)
Parameters
| Type |
Name |
Description |
| tfloat |
by |
Modulo value
|
| tfloat |
x |
Target value
|
Returns
Modh(tfloat)
Declaration
public static tfloat Modh(tfloat x)
Parameters
| Type |
Name |
Description |
| tfloat |
x |
|
Returns
Modulo<T>(TEx<T>, TEx<T>)
Declaration
public static TEx<T> Modulo<T>(TEx<T> x, TEx<T> by)
Parameters
| Type |
Name |
Description |
| TEx<T> |
x |
|
| TEx<T> |
by |
|
Returns
Type Parameters
ModWithPause(tfloat, tfloat, tfloat, tfloat)
Periodize the return value of the target function with a "pause" at the value pauseAt for pauseLen units.
The true period of this function is by + pauseLen, however the output only varies [0, by].
During the pause time, the return value will be stuck at pauseAt.
Declaration
public static tfloat ModWithPause(tfloat by, tfloat pauseAt, tfloat pauseLen, tfloat x)
Parameters
| Type |
Name |
Description |
| tfloat |
by |
Naive period
|
| tfloat |
pauseAt |
Time at which to pause
|
| tfloat |
pauseLen |
Length for which to pause
|
| tfloat |
x |
Target function
|
Returns
MP1Mod(tfloat)
Returns -1 if the value is even,
and 1 if the value is odd.
Declaration
public static tfloat MP1Mod(tfloat x)
Parameters
| Type |
Name |
Description |
| tfloat |
x |
|
Returns
PM1Mod(tfloat)
Returns 1 if the value is even,
and -1 if the value is odd.
Declaration
public static tfloat PM1Mod(tfloat x)
Parameters
| Type |
Name |
Description |
| tfloat |
x |
|
Returns
PMZ1(tfloat)
Convert a value 1,-1 to 1,0.
Declaration
public static tfloat PMZ1(tfloat x)
Parameters
| Type |
Name |
Description |
| tfloat |
x |
|
Returns
RangeMod(tfloat, tfloat)
Periodize a value around a positive and negative endpoint.
Declaration
public static tfloat RangeMod(tfloat by, tfloat x)
Parameters
| Type |
Name |
Description |
| tfloat |
by |
|
| tfloat |
x |
|
Returns
Examples
FSoftMod(X(), 4)(3.95) = 3.95
FSoftMod(X(), 4)(4.05) = -3.95
FSoftMod(X(), 4)(11) = 3
FSoftMod(X(), 4)(12.05) = -3.95
RangeModh(tfloat)
Declaration
public static tfloat RangeModh(tfloat x)
Parameters
| Type |
Name |
Description |
| tfloat |
x |
|
Returns
RangeSoftMod(tfloat, tfloat)
Periodize a value, bouncing it off a positive and negative endpoint.
Declaration
public static tfloat RangeSoftMod(tfloat by, tfloat x)
Parameters
| Type |
Name |
Description |
| tfloat |
by |
|
| tfloat |
x |
|
Returns
Examples
FSoftMod(X(), 4)(3.95) = 3.95
FSoftMod(X(), 4)(4.05) = 3.95
FSoftMod(X(), 4)(11) = -3
FSoftMod(X(), 4)(12.05) = -3.95
RemapIndex(tfloat, tfloat)
Use Fermat's Little Theorem to reindex integers around a prime number mod.
Declaration
public static tfloat RemapIndex(tfloat mod, tfloat index)
Parameters
| Type |
Name |
Description |
| tfloat |
mod |
|
| tfloat |
index |
|
Returns
RemapIndexLoop(tfloat, tfloat)
Use Fermat's Little Theorem to reindex integers around a prime number mod, localized to the region
[mod*floor(index/mod), mod+mod*floor(index/mod)].
Declaration
public static tfloat RemapIndexLoop(tfloat mod, tfloat index)
Parameters
| Type |
Name |
Description |
| tfloat |
mod |
|
| tfloat |
index |
|
Returns
SoftMod(tfloat, tfloat)
Periodize a value,
"bouncing off" the endpoint instead of wrapping around.
Declaration
public static tfloat SoftMod(tfloat by, tfloat x)
Parameters
| Type |
Name |
Description |
| tfloat |
by |
Period
|
| tfloat |
x |
Value
|
Returns
Examples
FSoftMod(X(), 4)(3.95) = 3.95
FSoftMod(X(), 4)(4.05) = 3.95
FSoftMod(X(), 4)(4.15) = 3.85
z1Mod(tfloat)
Returns 0 if the value is even,
and 1 if the value is odd.
Declaration
public static tfloat z1Mod(tfloat x)
Parameters
| Type |
Name |
Description |
| tfloat |
x |
|
Returns
Z1PM(tfloat)
Convert a value 1,0 to 1,-1.
Declaration
public static tfloat Z1PM(tfloat x)
Parameters
| Type |
Name |
Description |
| tfloat |
x |
|
Returns