Internal functions/Numeric functions - Revision history

Raffriff42: make redirect

2014-09-17T01:56:00Z

make redirect

Admin: tau is a non-existing mathemical constant (there is only one guy pushing it). i asked ianb to remove it from the code

2014-01-05T13:12:49Z

tau is a non-existing mathemical constant (there is only one guy pushing it). i asked ianb to remove it from the code

← Older revision		Revision as of 15:12, 5 January 2014
Line 134:		Line 134:
	: ''Examples:''		: ''Examples:''
	d = Pi() # d == 3.141592653		d = Pi() # d == 3.141592653

	* {{ScriptFunction\|Tau\|v2.60\|Tau()}}
	~~: Returns the value of the "tau" constant (the ratio of a circle's circumference to its radius). See [http://en.wikipedia.org/wiki/Tau_(2π) Tau_(2Π)] for more information.~~
	~~: ''Examples:''~~
	~~d = Tau() # d == 6.283186~~

	* {{ScriptFunction\|Exp\|v2\|Exp(float)}}		* {{ScriptFunction\|Exp\|v2\|Exp(float)}}

Unreal666: /* Numeric functions */

2014-01-05T02:10:53Z

Numeric functions

← Older revision		Revision as of 04:10, 5 January 2014
Line 134:		Line 134:
	: ''Examples:''		: ''Examples:''
	d = Pi() # d == 3.141592653		d = Pi() # d == 3.141592653

			* {{ScriptFunction\|Tau\|v2.60\|Tau()}}
			: Returns the value of the "tau" constant (the ratio of a circle's circumference to its radius). See [http://en.wikipedia.org/wiki/Tau_(2π) Tau_(2Π)] for more information.
			: ''Examples:''
			d = Tau() # d == 6.283186

	* {{ScriptFunction\|Exp\|v2\|Exp(float)}}		* {{ScriptFunction\|Exp\|v2\|Exp(float)}}
Line 283:		Line 288:

	* {{ScriptFunction\|BitTest\|v2.60\|BitTest(int, int)}}		* {{ScriptFunction\|BitTest\|v2.60\|BitTest(int, int)}}
			* {{ScriptFunction\|BitTst\|v2.60\|BitTst(int, int)}}
	: Tests a single bit (that is, it returns true if its state is one, else it returns false). The second operand denotes the location of the bit which is specified as an offset from the low order end of the operand (starting at zero).		: Tests a single bit (that is, it returns true if its state is one, else it returns false). The second operand denotes the location of the bit which is specified as an offset from the low order end of the operand (starting at zero).
	: Examples:		: Examples:
Line 305:		Line 311:

	* {{ScriptFunction\|BitClear\|v2.60\|BitClear(int, int)}}		* {{ScriptFunction\|BitClear\|v2.60\|BitClear(int, int)}}
			* {{ScriptFunction\|BitClr\|v2.60\|BitClr(int, int)}}
	: Sets a single bit to zero (so it sets its state to zero). The second operand denotes the location of the bit which is specified as an offset from the low order end of the operand (starting at zero).		: Sets a single bit to zero (so it sets its state to zero). The second operand denotes the location of the bit which is specified as an offset from the low order end of the operand (starting at zero).
	: Examples:		: Examples:
Line 317:		Line 324:

	* {{ScriptFunction\|BitChange\|v2.60\|BitChange(int, int)}}		* {{ScriptFunction\|BitChange\|v2.60\|BitChange(int, int)}}
			* {{ScriptFunction\|BitChg\|v2.60\|BitChg(int, int)}}
	: Sets a single bit to its complement (so it changes the state of a single bit; 1 becomes 0 and vice versa). The second operand denotes the location of the bit which is specified as an offset from the low order end of the operand (starting at zero). The sign bit is bit 31.		: Sets a single bit to its complement (so it changes the state of a single bit; 1 becomes 0 and vice versa). The second operand denotes the location of the bit which is specified as an offset from the low order end of the operand (starting at zero). The sign bit is bit 31.
	: Examples:		: Examples:

Admin at 14:02, 20 August 2013

2013-08-20T14:02:17Z

← Older revision		Revision as of 16:02, 20 August 2013
Line 283:		Line 283:

	* {{ScriptFunction\|BitTest\|v2.60\|BitTest(int, int)}}		* {{ScriptFunction\|BitTest\|v2.60\|BitTest(int, int)}}
	: Tests a single bit (that is, it returns true if ~~the bit~~ is one, else it returns false). The second operand denotes the location of the bit which is specified as an offset from the low order end of the operand (starting at zero).		: Tests a single bit (that is, it returns true if its state is one, else it returns false). The second operand denotes the location of the bit which is specified as an offset from the low order end of the operand (starting at zero).
	: Examples:		: Examples:
	~~Tests~~ the ~~bits~~ of the ~~number 5~~		Check the state of the fourth bit:
	BitTest(5, 0) = ~~True (since the first (most right) bit of 5 = 101 is 1)~~		BitTest(3, 4) = False
	BitTest(5, 1) = ~~False (since~~ the ~~second~~ bit ~~of 5 = 101 is 0)~~		BitTest(19, 4) = True
	BitTest(5, 2) = True (~~since the third bit of 5~~ = ~~101 is 1)~~
			Check the state of the sign bit:
			BitTest(-1, 31) = True
			BitTest(2147483647, 31) = False

	* {{ScriptFunction\|BitSet\|v2.60\|BitSet(int, int)}}		* {{ScriptFunction\|BitSet\|v2.60\|BitSet(int, int)}}
	: Sets a single bit to one (so it sets ~~a bit~~). The second operand denotes the location of the bit which is specified as an offset from the low order end of the operand (starting at zero).		: Sets a single bit to one (so it sets its state to one). The second operand denotes the location of the bit which is specified as an offset from the low order end of the operand (starting at zero).
	: Examples:		: Examples:
	~~Sets~~ the ~~bits~~ of the ~~number 5~~		Set the state of the fourth bit to one:
	BitSet(5, 0) = ~~5 (first bit is already one)~~		BitSet(3, 4) = 19
	BitSet(5, 1) = ~~7 (second~~ bit ~~is set~~ to 1)		BitSet(19, 4) = 19
	BitSet(5, 2) = ~~5 (bit is already one)~~
	BitSet(5, 3) = ~~13 (fourth bit is set to one)~~		Set the state of the sign bit to one:
			BitSet(-1, 31) = -1
			BitSet(2147483647, 31) = -1

	* {{ScriptFunction\|BitClear\|v2.60\|BitClear(int, int)}}		* {{ScriptFunction\|BitClear\|v2.60\|BitClear(int, int)}}
	: Sets a single bit to zero (so it ~~clears a bit~~). The second operand denotes the location of the bit which is specified as an offset from the low order end of the operand (starting at zero).		: Sets a single bit to zero (so it sets its state to zero). The second operand denotes the location of the bit which is specified as an offset from the low order end of the operand (starting at zero).
	: Examples:		: Examples:
	~~Clears~~ the bits of the number 5		Clear the bits of the number 5
	BitClear(5, 0) = 4 (first bit is set to zero)		BitClear(5, 0) = 4 (first bit is set to zero)
	BitClear(5, 1) = 5 (second bit is already zero)		BitClear(5, 1) = 5 (second bit is already zero)
	BitClear(5, 2) = 1 (third bit is set to zero)		BitClear(5, 2) = 1 (third bit is set to zero)
	BitClear(5, 3) = 5 (fourth bit is already zero)		BitClear(5, 3) = 5 (fourth bit is already zero)

			Clear the state of the sign bit:
			BitClear(-1, 31) = 2147483647

	* {{ScriptFunction\|BitChange\|v2.60\|BitChange(int, int)}}		* {{ScriptFunction\|BitChange\|v2.60\|BitChange(int, int)}}
	: Sets a single bit to its complement (so 1 becomes 0 and vice versa). The second operand denotes the location of the bit which is specified as an offset from the low order end of the operand (starting at zero).		: Sets a single bit to its complement (so it changes the state of a single bit; 1 becomes 0 and vice versa). The second operand denotes the location of the bit which is specified as an offset from the low order end of the operand (starting at zero). The sign bit is bit 31.
	: Examples:		: Examples:
	~~Changes~~ the ~~bits~~ of the number 5		Change the state of the a bit of the number 5:
	BitChange(5, 0) = 4 (first bit is set to zero)		BitChange(5, 0) = 4 (first bit is set to zero)
	BitChange(5, 1) = 7 (second bit is set to one)		BitChange(5, 1) = 7 (second bit is set to one)
	BitChange(5, 2) = 1 (third bit is set to zero)		BitChange(5, 2) = 1 (third bit is set to zero)
	BitChange(5, 3) = 13 (fourth bit is set to one)		BitChange(5, 3) = 13 (fourth bit is set to one)

			Change the state of the sign bit:
			BitChange(-1, 31) = 2147483647

	----		----

Admin at 13:46, 20 August 2013

2013-08-20T13:46:03Z

← Older revision		Revision as of 15:46, 20 August 2013
Line 277:		Line 277:
	* {{ScriptFunction\|BitRRotate\|v2.60\|BitRRotateL(int, int)}}		* {{ScriptFunction\|BitRRotate\|v2.60\|BitRRotateL(int, int)}}
	* {{ScriptFunction\|BitRor\|v2.60\|BitRor(int, int)}}		* {{ScriptFunction\|BitRor\|v2.60\|BitRor(int, int)}}
	: Rotates the bits of an integer to the right by the number of bits specified in the second operand. For each rotation specified, the low order bit that exits from the right of the operand returns at the left to become the new high order bit		: Rotates the bits of an integer to the right by the number of bits specified in the second operand. For each rotation specified, the low order bit that exits from the right of the operand returns at the left to become the new high order bit.
	: Examples:		: Examples:
	Rotates the bits of the number 13 one bit to the right:		Rotates the bits of the number 13 one bit to the right:

Admin: typo

2013-08-20T13:45:31Z

typo

← Older revision		Revision as of 15:45, 20 August 2013
Line 272:		Line 272:
	: Rotates the bits of an integer to the left by the number of bits specified in the second operand. For each rotation specified, the high order bit that exits from the left of the operand returns at the right to become the new low order bit.		: Rotates the bits of an integer to the left by the number of bits specified in the second operand. For each rotation specified, the high order bit that exits from the left of the operand returns at the right to become the new low order bit.
	: Examples:		: Examples:
	Rotates the bits of the number -2147483642 one bit to the ~~right~~:		Rotates the bits of the number -2147483642 one bit to the left:
	BitLRotate(-2147483642, 1) = 13 (since 10000000000000000000000000000110 ROL 1 = 00000000000000000000000000001101)		BitLRotate(-2147483642, 1) = 13 (since 10000000000000000000000000000110 ROL 1 = 00000000000000000000000000001101)

Admin: remove tau offline, typo BitLRotate (left instead of right), clean up new bit functions

2013-07-07T19:50:53Z

remove tau offline, typo BitLRotate (left instead of right), clean up new bit functions

← Older revision		Revision as of 21:50, 7 July 2013
Line 5:		Line 5:
	* {{ScriptFunction\|Max\|v2.58\|Max(float, float [, ...])}}		* {{ScriptFunction\|Max\|v2.58\|Max(float, float [, ...])}}
	: Returns the maximum value of a set of numbers.		: Returns the maximum value of a set of numbers.
			: If all the values are of type Int, the result is an Int. If any of the values are of type Float, the result is a Float.
			: This may cause an unexpected result when an Int value greater than 16777216 is mixed with Float values.
	: ''Examples:''		: ''Examples:''
	Max (1, 2) = 2		Max (1, 2) = 2
Line 75:		Line 77:
	: ''Examples:''		: ''Examples:''
	Tan(Pi()/4) = 1.0		Tan(Pi()/4) = 1.0
	Tan(Pi()/2) = not defined (not ~~sure what~~ AviSynth returns)		Tan(Pi()/2) = not defined
			: 32 bit ieee floats do not have sufficient resolution to exactly represent
			: pi/2 so AviSynth returns a large positive number for the value slightly less
			: than pi/2 and a large negative value for the next possible value which is
			: slightly greater than pi/2.

	* {{ScriptFunction\|Asin\|v2.60\|Asin(float)}}		* {{ScriptFunction\|Asin\|v2.60\|Asin(float)}}
Line 125:		Line 131:

	* {{ScriptFunction\|Pi\|v2\|Pi()}}		* {{ScriptFunction\|Pi\|v2\|Pi()}}
	: Returns the value of the "pi" constant (the ratio of a circle's ~~perimeter~~ to its diameter).		: Returns the value of the "pi" constant (the ratio of a circle's circumference to its diameter).
	: ''Examples:''		: ''Examples:''
	d = Pi() # d == 3.141592653		d = Pi() # d == 3.141592653
Line 214:		Line 220:

	* {{ScriptFunction\|BitAnd\|v2.60\|BitAnd(int, int)}}		* {{ScriptFunction\|BitAnd\|v2.60\|BitAnd(int, int)}}
	: The functions: BitAnd, BitNot, BitOr and BitXor are bitwise operators. This means that their arguments (being integers) are converted to binary numbers, the operation is performed on their bits, and the resulting binary number is converted back again.		: The functions: BitAnd, BitNot, BitOr and BitXor, etc, are bitwise operators. This means that their arguments (being integers) are converted to binary numbers, the operation is performed on their bits, and the resulting binary number is converted back again.
	: BitAnd returns the bitwise AND (sets bit to 1 if both bits are 1 and sets bit to 0 otherwise).		: BitAnd returns the bitwise AND (sets bit to 1 if both bits are 1 and sets bit to 0 otherwise).
	: ''Examples:''		: ''Examples:''
Line 238:		Line 244:

	* {{ScriptFunction\|BitLShift\|v2.60\|BitLShift(int, int)}}		* {{ScriptFunction\|BitLShift\|v2.60\|BitLShift(int, int)}}
			* {{ScriptFunction\|BitShl\|v2.60\|BitShl(int, int)}}
			* {{ScriptFunction\|BitSal\|v2.60\|BitSal(int, int)}}
	: Shift the bits of a number to the left.		: Shift the bits of a number to the left.
	: ''Examples:''		: ''Examples:''
Line 245:		Line 253:
	* {{ScriptFunction\|BitRShiftL\|v2.60\|BitRShiftL(int, int)}}		* {{ScriptFunction\|BitRShiftL\|v2.60\|BitRShiftL(int, int)}}
	* {{ScriptFunction\|BitRShiftU\|v2.60\|BitRShiftU(int, int)}}		* {{ScriptFunction\|BitRShiftU\|v2.60\|BitRShiftU(int, int)}}
			* {{ScriptFunction\|BitShr\|v2.60\|BitShr(int, int)}}
	: Shift the bits of an unsigned integer to the right. (Logical, zero fill, Right Shift)		: Shift the bits of an unsigned integer to the right. (Logical, zero fill, Right Shift)
	: ''Examples:''		: ''Examples:''
Line 253:		Line 262:
	* {{ScriptFunction\|BitRShiftA\|v2.60\|BitRShiftA(int, int)}}		* {{ScriptFunction\|BitRShiftA\|v2.60\|BitRShiftA(int, int)}}
	* {{ScriptFunction\|BitRShiftS\|v2.60\|BitRShiftS(int, int)}}		* {{ScriptFunction\|BitRShiftS\|v2.60\|BitRShiftS(int, int)}}
			* {{ScriptFunction\|BitSar\|v2.60\|BitSar(int, int)}}
	: Shift the bits of an integer to the right. (Arithmetic, Sign bit fill, Right Shift)		: Shift the bits of an integer to the right. (Arithmetic, Sign bit fill, Right Shift)
	: Examples:		: Examples:
Line 259:		Line 269:

	* {{ScriptFunction\|BitLRotate\|v2.60\|BitLRotate(int, int)}}		* {{ScriptFunction\|BitLRotate\|v2.60\|BitLRotate(int, int)}}
			* {{ScriptFunction\|BitRol\|v2.60\|BitRol(int, int)}}
	: Rotates the bits of an integer to the left by the number of bits specified in the second operand. For each rotation specified, the high order bit that exits from the left of the operand returns at the right to become the new low order bit.		: Rotates the bits of an integer to the left by the number of bits specified in the second operand. For each rotation specified, the high order bit that exits from the left of the operand returns at the right to become the new low order bit.
	: Examples:		: Examples:
	~~Rotates the bits of the number 5 two bits to the left:~~		Rotates the bits of the number -2147483642 one bit to the right:
	~~BitLRotate(5, 2) = 20 (since 101 becomes 10100)~~		BitLRotate(-2147483642, 1) = 13 (since 10000000000000000000000000000110 ROL 1 = 00000000000000000000000000001101)
	Rotates the bits of the number -42 one bit ~~(and two bits)~~ to the ~~left~~:
	BitLRotate(-42, 1) = ~~-83~~ (since ~~11111111111111111111111111010110 becomes 11111111111111111111111110101101)~~
	~~BitLRotate(-42, 2)~~ = ~~-165 (since 11111111111111111111111111010110 becomes 11111111111111111111111101011011~~)

	* {{ScriptFunction\|BitRRotate\|v2.60\|BitRRotateL(int, int)}}		* {{ScriptFunction\|BitRRotate\|v2.60\|BitRRotateL(int, int)}}
			* {{ScriptFunction\|BitRor\|v2.60\|BitRor(int, int)}}
	: Rotates the bits of an integer to the right by the number of bits specified in the second operand. For each rotation specified, the low order bit that exits from the right of the operand returns at the left to become the new high order bit		: Rotates the bits of an integer to the right by the number of bits specified in the second operand. For each rotation specified, the low order bit that exits from the right of the operand returns at the left to become the new high order bit
	: Examples:		: Examples:
	Rotates the bits of the number ~~5 two bits to the right:~~		Rotates the bits of the number 13 one bit to the right:
	~~BitRRotate(5, 2) = 1073741825 (since 101 becomes 01000000000000000000000000000001)~~		BitRRotate(13, 1) = -2147483642 (since 00000000000000000000000000001101 ROR 1 = 10000000000000000000000000000110)
	~~Rotates the bits of the number -42~~ one bit to the right:
	BitRRotate(~~-42~~, 1) = ~~2147483627~~ (since ~~11111111111111111111111111010110 becomes 01111111111111111111111111101011~~)

	* {{ScriptFunction\|BitTest\|v2.60\|BitTest(int, int)}}		* {{ScriptFunction\|BitTest\|v2.60\|BitTest(int, int)}}

Admin: 1 revision

2013-05-09T21:33:33Z

1 revision

← Older revision	Revision as of 23:33, 9 May 2013
(No difference)

Wilbert: new bit functions

2013-03-17T16:11:22Z

new bit functions

New page

== Numeric functions ==

They provide common mathematical operations on numeric variables.

* {{ScriptFunction|Max|v2.58|Max(float, float [, ...])}}
: Returns the maximum value of a set of numbers.
: ''Examples:''
Max (1, 2) = 2
Max (5, 3.0, 2) = 5.0

* {{ScriptFunction|Min|v2.58|Min(float, float [, ...])}}
: Returns the minimum value of a set of numbers.
: ''Examples:''
Min (1, 2) = 1
Min (5, 3.0, 2) = 2.0

* {{ScriptFunction|MulDiv|v2.56|MulDiv(int, int, int)}}
: Multiplies two ints (m, n) and divides the product by a third (d) in a single operation, with 64 bit intermediate result. The actual equation used is <tt> (m * n + d / 2) / d </tt>.
: ''Examples:''
MulDiv (1, 1, 2) = 1
MulDiv (2, 3, 2) = 3

* {{ScriptFunction|Floor||Floor(float)}}
: Converts from single-precision, [http://en.wikipedia.org/wiki/Floating_point floating-point] value to int (round down on any fractional amount).
: ''Examples:''
Floor(1.2) = 1
Floor(1.6) = 1
Floor(-1.2) = -2
Floor(-1.6) = -2

* {{ScriptFunction|Ceil||Ceil(float)}}
: Converts from single-precision, [http://en.wikipedia.org/wiki/Floating_point floating-point] value to int (round up on any fractional amount).
: ''Examples:''
Ceil(1.2) = 2
Ceil(1.6) = 2
Ceil(-1.2) = -1
Ceil(-1.6) = -1

* {{ScriptFunction|Round||Round(float)}}
: Converts from single-precision, [http://en.wikipedia.org/wiki/Floating_point floating-point] value to int (round off to nearest integer).
: ''Examples:''
Round(1.2) = 1
Round(1.6) = 2
Round(-1.2) = -1
Round(-1.6) = -2

* {{ScriptFunction|Int|v2.07|Int(float)}}
: Converts from single-precision, [http://en.wikipedia.org/wiki/Floating_point floating-point] value to int (round towards zero).
: ''Examples:''
Int(1.2) = 1
Int(1.6) = 1
Int(-1.2) = -1
Int(-1.6) = -1

* {{ScriptFunction|Float|v2.07|Float(int)}}
: Converts int to single-precision, [http://en.wikipedia.org/wiki/Floating_point floating-point] value. Integer values that require more than 24-bits to be represented will have their lower 8-bits truncated yielding unexpected values.
: ''Examples:''
Float(4) = 4.0
Float(4) / 3 = 1.333 (while 4 / 3 = 1 , due to integer division)

* {{ScriptFunction|Sin|v2|Sin(float)}}
: Returns the sine of the argument (assumes it is radians).
: ''Examples:''
Sin(Pi()/4) = 0.707
Sin(Pi()/2) = 1.0

* {{ScriptFunction|Cos|v2|Cos(float)}}
: Returns the cosine of the argument (assumes it is radians).
: ''Examples:''
Cos(Pi()/4) = 0.707
Cos(Pi()/2) = 0.0

* {{ScriptFunction|Tan|v2.60|Tan(float)}}
: Returns the tangent of the argument (assumes it is radians).
: ''Examples:''
Tan(Pi()/4) = 1.0
Tan(Pi()/2) = not defined (not sure what AviSynth returns)

* {{ScriptFunction|Asin|v2.60|Asin(float)}}
: Returns the inverse of the sine of the argument (output is radians).
: ''Examples:''
Asin(0.707) = 0.7852471634 (~ Pi/4)
Asin(1.0) = 1.570796327 (~ Pi/2)

* {{ScriptFunction|Acos|v2.60|Acos(float)}}
: Returns the inverse of the cosine of the argument (output is in radians).
: ''Examples:''
Acos(0.707) = 0.7852471634 (~ Pi/4)
Acos(0.0) = 1.570796327 (~ Pi/2)

* {{ScriptFunction|Atan|v2.60|Atan(float)}}
: Returns the inverse of the tangent of the argument (output is in radians).
: ''Examples:''
Atan(0.707) = 0.6154085176
Atan(1.0) = 0.7853981634 (~ Pi/4)

* {{ScriptFunction|Atan2|v2.60|Atan2(float, float)}}
: Returns the angle between the positive x-axis of a plane and the point given by the coordinates (x, y) on it (output is in radians). See [http://en.wikipedia.org/wiki/Atan2 wikipedia] for more information.
: y is the first argument and x is the second argument.
: ''Examples:''
Atan2(1.0, 0) = 1.570796327 (~ Pi/2)
Atan2(1.0, 1.0) = 0.7852471634 (~ Pi/4)
Atan2(−1.0, −1.0) = -2.356194490 (~ −3Pi/4)

* {{ScriptFunction|Sinh|v2.60|Sinh(float)}}
: Returns the hyperbolic sine of the argument. See [http://en.wikipedia.org/wiki/Hyperbolic_function wikipedia] for more information.
: ''Examples:''
Sinh(2.0) = 3.626860408

* {{ScriptFunction|Cosh|v2.60|Cosh(float)}}
: Returns the hyperbolic cosine of the argument.
: ''Examples:''
Cosh(2.0) = 3.762195691

* {{ScriptFunction|Tanh|v2.60|Tanh(float)}}
: Returns the hyperbolic tangent of the argument.
: ''Examples:''
Tanh(2.0) = 0.9640275801

* {{ScriptFunction|Fmod|v2.60|Fmod(float, float)}}
: Returns the modulo of the argument. Output is float.
: ''Examples:''
Fmod(3.5, 0.5) = 0 (since 3.5 - 7*0.5 = 0)
Fmod(3.5, 1.0) = 0.5 (since 3.5 - 3*1.0 = 0.5)

* {{ScriptFunction|Pi|v2|Pi()}}
: Returns the value of the "pi" constant (the ratio of a circle's perimeter to its diameter).
: ''Examples:''
d = Pi() # d == 3.141592653

* {{ScriptFunction|Exp|v2|Exp(float)}}
: Returns the natural (base-e) exponent of the argument.
: ''Examples:''
Exp(1) = 2.7182818
Exp(0) = 1.0

* {{ScriptFunction|Log|v2|Log(float)}}
: Returns the natural (base-e) logarithm of the argument.
: ''Examples:''
Log(1) = 0.0
Log(10) = 2.30259
Log(Exp(1)) = 1.0

* {{ScriptFunction|Log10|v2.60|Log10(float)}}
: Returns the common logarithm of the argument.
: ''Examples:''
Log10(1.0) = 0
Log10(10.0) = 1.0
Log10(2.0) = 0.3010299957

* {{ScriptFunction|Pow|v2|Pow(float base, float power)}}
: Returns "base" raised to the power indicated by the second argument.
: ''Examples:''
Pow(2, 3) = 8
Pow(3, 2) = 9
Pow(3.45, 1.75) = 8.7334

* {{ScriptFunction|Sqrt|v2|Sqrt(float)}}
: Returns the square root of the argument.
: ''Examples:''
Sqrt(1) = 1.0
Sqrt(2) = 1.4142

* {{ScriptFunction|Abs|v2.07|Abs(float or int)}}
: Returns the absolute value of its argument (returns float for float, integer for integer).
: ''Examples:''
Abs(-3.8) = 3.8
Abs(-4) = 4

* {{ScriptFunction|Sign|v2.07|Sign(float)}}
: Returns the sign of the value passed as argument (1, 0 or -1).
: ''Examples:''
Sign(-3.5) = -1
Sign(3.5) = 1
Sign(0) = 0

* {{ScriptFunction|Frac|v2.07|Frac(float)}}
: Returns the fractional portion of the value provided.
: ''Examples:''
Frac(3.7) = 0.7
Frac(-1.8) = -0.8

* {{ScriptFunction|Rand|v2.07|Rand([int max] [, bool scale] [, bool seed])}}
: Returns a random integer value. All parameters are optional.
:* ''max'' sets the maximum value+1 (default 32768) and can be set negative for negative results. It operates either in scaled or modulus mode (default ''scale''=true only if abs(max) > 32768, false otherwise).
:* Scaled mode (''scale''=true) scales the internal random number generator value to the maximum value, while modulus mode (''scale''=false) uses the remainder from an integer divide of the random generator value by the maximum. I found modulus mode is best for smaller maximums.
:* Using ''seed=true'' seeds the random number generator with the current time. ''seed'' defaults to false and probably isn't necessary, although it's there just in case.
: Typically, this function would be used with the Select function for random clips.
: ''Examples:''
Select(Rand(5), clip1, clip2, clip3, clip4, clip5)

* {{ScriptFunction|Spline|v2.51|Spline(float X, x1, y1, x2, y2, .... [, bool cubic])}}
: Interpolates the Y value at point X using the control points x1/y1, ... There have to be at least 2 x/y-pairs. The interpolation can be cubic (the result is a spline) or linear (the result is a polygon). Default is cubic.
: ''Examples:''
Spline(5, 0, 0, 10, 10, 20, 0, false) = 5
Spline(5, 0, 0, 10, 10, 20, 0, true) = 7

* {{ScriptFunction|ContinuedNumerator|v2.60|ContinuedNumerator(float, int limit)}}
* {{ScriptFunction|ContinuedNumerator|v2.60|ContinuedNumerator(int, int, int limit)}}
* {{ScriptFunction|ContinuedDenominator|v2.60|ContinuedDenominator(float, int limit)}}
* {{ScriptFunction|ContinuedDenominator|v2.60|ContinuedDenominator(int, int, int limit)}}
: The rational pair (ContinuedNumerator,ContinuedDenominator) returned has the smallest possible denominator such that the absolute error is less than 1/limit. More information can be found on [http://en.wikipedia.org/wiki/Continued_fraction wikipedia].
: If ''limit'' is not specified in the Float case the rational pair returned is to the limit of the single precision floating point value. Thus (float)((double)Num/(double)Den) == V.
: In the Int case if ''limit'' is not specified then the normalized original values will be returned, i.e. reduced by the GCD.
: ''Examples:''
ContinuedNumerator(PI(), limit=5000]) = 355
ContinuedDenominator(PI(), limit=5000) = 113

ContinuedNumerator(PI(), limit=50]) = 22
ContinuedDenominator(PI(), limit=50) = 7

ContinuedNumerator(355, 113, limit=50]) = 22
ContinuedDenominator(355, 113, limit=50) = 7

* {{ScriptFunction|BitAnd|v2.60|BitAnd(int, int)}}
: The functions: BitAnd, BitNot, BitOr and BitXor are bitwise operators. This means that their arguments (being integers) are converted to binary numbers, the operation is performed on their bits, and the resulting binary number is converted back again.
: BitAnd returns the bitwise AND (sets bit to 1 if both bits are 1 and sets bit to 0 otherwise).
: ''Examples:''
BitAnd(5, 6) = 4 # since 5 = 101, 6 = 110, and 101&110 = 100

* {{ScriptFunction|BitNot|v2.60|BitNot(int)}}
: Returns the bit-inversion (sets bit to 1 if bit is 0 and vice-versa).
: ''Examples:''
BitNOT(5) = -6 # since 5 = 101, and ~101 = 1111 1111 1111 1111 1111 1111 1111 1010 = -6
: Note: 1111 1111 1111 1111 1111 1111 1111 1010 = (2^32-1)-2^0-2^2 = 2^32-(1+2^0+2^2) =(signed) -(1+2^0+2^2) = -6

* {{ScriptFunction|BitOr|v2.60|BitOr(int, int)}}
: Returns the bitwise inclusive OR (sets bit to 1 if one of the bits (or both) is 1 and sets bit to 0 otherwise).
: ''Examples:''
BitOr(5, 6) = 7 # since 5 = 101, 6 = 110, and 101|110 = 111
BitOr(4, 2) = 6 # since 4 = 100, 2 = 010, and 100|010 = 110

* {{ScriptFunction|BitXor|v2.60|BitXor(int, int)}}
: Returns the bitwise exclusive OR (sets bit to 1 if exactly one of the bits is 1 and sets bit to 0 otherwise).
: ''Examples:''
BitXor(5, 6) = 3 # since 5 = 101, 6 = 110, and 101^110 = 011
BitXor(4, 2) = 6 # since 4 = 100, 2 = 010, and 100^010 = 110

* {{ScriptFunction|BitLShift|v2.60|BitLShift(int, int)}}
: Shift the bits of a number to the left.
: ''Examples:''
Shifts the bits of the number 5 two bits to the left:
BitLShift(5, 2) = 20 (since 101 << 2 = 10100)

* {{ScriptFunction|BitRShiftL|v2.60|BitRShiftL(int, int)}}
* {{ScriptFunction|BitRShiftU|v2.60|BitRShiftU(int, int)}}
: Shift the bits of an unsigned integer to the right. (Logical, zero fill, Right Shift)
: ''Examples:''
Shifts the bits of the number -42 one bit to the right, treating it as unsigned:
BitRShiftL(-42, 1) = 2147483627 (since 1111 1111 1111 1111 1111 1111 1101 0110 >> 1 = 0111 1111 1111 1111 1111 1111 1110 1011)
: Note: -42 = -(1+2^0+2^3+2^5) = (unsigned) (2^32-1)-(2^0+2^3+2^5) = 1111 1111 1111 1111 1111 1111 1101 0110

* {{ScriptFunction|BitRShiftA|v2.60|BitRShiftA(int, int)}}
* {{ScriptFunction|BitRShiftS|v2.60|BitRShiftS(int, int)}}
: Shift the bits of an integer to the right. (Arithmetic, Sign bit fill, Right Shift)
: Examples:
Shifts the bits of the number -42 one bit to the right, treating it as signed:
BitRShiftA(-42, 1) = -21 (since 1111 1111 1111 1111 1111 1111 1101 0110 >> 1 = 1111 1111 1111 1111 1111 1111 1110 1011)

* {{ScriptFunction|BitLRotate|v2.60|BitLRotate(int, int)}}
: Rotates the bits of an integer to the left by the number of bits specified in the second operand. For each rotation specified, the high order bit that exits from the left of the operand returns at the right to become the new low order bit.
: Examples:
Rotates the bits of the number 5 two bits to the left:
BitLRotate(5, 2) = 20 (since 101 becomes 10100)
Rotates the bits of the number -42 one bit (and two bits) to the left:
BitLRotate(-42, 1) = -83 (since 11111111111111111111111111010110 becomes 11111111111111111111111110101101)
BitLRotate(-42, 2) = -165 (since 11111111111111111111111111010110 becomes 11111111111111111111111101011011)

* {{ScriptFunction|BitRRotate|v2.60|BitRRotateL(int, int)}}
: Rotates the bits of an integer to the right by the number of bits specified in the second operand. For each rotation specified, the low order bit that exits from the right of the operand returns at the left to become the new high order bit
: Examples:
Rotates the bits of the number 5 two bits to the right:
BitRRotate(5, 2) = 1073741825 (since 101 becomes 01000000000000000000000000000001)
Rotates the bits of the number -42 one bit to the right:
BitRRotate(-42, 1) = 2147483627 (since 11111111111111111111111111010110 becomes 01111111111111111111111111101011)

* {{ScriptFunction|BitTest|v2.60|BitTest(int, int)}}
: Tests a single bit (that is, it returns true if the bit is one, else it returns false). The second operand denotes the location of the bit which is specified as an offset from the low order end of the operand (starting at zero).
: Examples:
Tests the bits of the number 5
BitTest(5, 0) = True (since the first (most right) bit of 5 = 101 is 1)
BitTest(5, 1) = False (since the second bit of 5 = 101 is 0)
BitTest(5, 2) = True (since the third bit of 5 = 101 is 1)

* {{ScriptFunction|BitSet|v2.60|BitSet(int, int)}}
: Sets a single bit to one (so it sets a bit). The second operand denotes the location of the bit which is specified as an offset from the low order end of the operand (starting at zero).
: Examples:
Sets the bits of the number 5
BitSet(5, 0) = 5 (first bit is already one)
BitSet(5, 1) = 7 (second bit is set to 1)
BitSet(5, 2) = 5 (bit is already one)
BitSet(5, 3) = 13 (fourth bit is set to one)

* {{ScriptFunction|BitClear|v2.60|BitClear(int, int)}}
: Sets a single bit to zero (so it clears a bit). The second operand denotes the location of the bit which is specified as an offset from the low order end of the operand (starting at zero).
: Examples:
Clears the bits of the number 5
BitClear(5, 0) = 4 (first bit is set to zero)
BitClear(5, 1) = 5 (second bit is already zero)
BitClear(5, 2) = 1 (third bit is set to zero)
BitClear(5, 3) = 5 (fourth bit is already zero)

* {{ScriptFunction|BitChange|v2.60|BitChange(int, int)}}
: Sets a single bit to its complement (so 1 becomes 0 and vice versa). The second operand denotes the location of the bit which is specified as an offset from the low order end of the operand (starting at zero).
: Examples:
Changes the bits of the number 5
BitChange(5, 0) = 4 (first bit is set to zero)
BitChange(5, 1) = 7 (second bit is set to one)
BitChange(5, 2) = 1 (third bit is set to zero)
BitChange(5, 3) = 13 (fourth bit is set to one)

----
Back to [[Internal functions]].

[[Category:AviSynth_Syntax]]
[[Category:Scripting_Basics]]