Transform Templates - Tile

Absolute Value

Take the absolute value of the tile pixel value in the source field and put it into the target field.  Absolute value leaves positive numbers unchanged and converts negative numbers into their positive equivalents.  

Add

Add two values and put the result into the target field.

Arc Cosine

Take the arc cosine (inverse cosine) of the source field and put it into the target field.

Arc Sine

Take the arc sine (inverse sine) of the source field and put it into the target field.

Arc Tangent

Take the arc tangent (inverse tangent) of the source field and put it into the target field.

Arc Tangent of Ratio

Take the arc tangent (inverse tangent) of the ratio between the DY field and the DX field and put into the target field.

Base 10 Logarithm

Put the base 10 logarithm (also called the common logarithm) of the source field into the target field.

Base 2 Logarithm

Put the base 2 logarithm (also called the binary logarithm) of the source field into the target field.

Bessel J0

A Bessel function of the first kind: Put the result of the Bessel function J0(x) using the source field as x into the target.

Bessel J1

A Bessel function of the first kind: Put the result of the Bessel function J1(x) using the source field as x into the target.

Bessel Jn

The nth Bessel function of the first kind: Put the result of the Bessel function Jn(x) for Order n using the source field as x into the target.  Specifying 2 for Order uses a J2(x) Bessel function.  Using 0 or 1 for the Order is equivalent to using J0(x) or J1(x), respectively.

Bessel Y0

A Bessel function of the second kind: Put the result of the Bessel Function Y0(x) using the source field as x into the target.

Bessel Y1

A Bessel function of the second kind: Put the result of the Bessel Function Y1(x) using the source field as x into the target.

Bessel Yn

The nth Bessel function of the second kind: Put the result of the Bessel Function Yn(x) for Order n using the source field as x into the target.  Specifying 2 for Order uses a Y2(x) Bessel function.  Using 0 or 1 for the Order is equivalent to using Y0(x) or Y1(x), respectively.

Blur

Take the source field, Interpolate pixel values based on radius and power, averaging pixel values over a square array of pixels, and place the result in the target field.  The Radius value sets the number of pixels from the center pixel to the edge:  A Radius of 1 results in a 3x3 pixel array. The Power value is the weight to give the center pixel: a weight of 1 means not to emphasize it.  A weight of 5 means to give the center pixel's value five times the value in averaging compared to other pixels in the array.  

Ceiling

Put the rounded up integer value of the source field into the target field.

Ceiling up to Decimals

Put the value of the source field rounded up to the specified number of Decimal positions into the target field.

Complementary Error Function

Take the complementary error function (also called erfc(z) ) of the source field and put it into the target field.

Cosine

Take the cosine of the source field and put it into the target field.

Cube Root

Take the cube root of the source field and put it into the target field.

Divide

Divide the source field by the divide field and put the result into the target field.

Divide and Truncate

Divide the source field by the divide field and put the integer part of the result into the target field.

Error Function

Take the error function (also called erf(z) ) of the source field and put it into the target field.

Exponent

The exponential function: Take e to the power of the source field and place result into the target field. For anything but small numbers in the source field such exponentiation very rapidly results in numbers larger than can be represented in most types and thus stores a NULL in the target.  

Floor

Put the rounded down integer value of the source field into the target field.

Floor down to Decimals

Put the value of the source field rounded up to the specified number of Decimal positions into the target field.

Fractional Part

Take only the decimal fraction portion of the source and put into the target field.

Fractional Part from Decimals

Take only the decimal fraction portion of the source beyond the specified number of Decimal positions and put into the target field.

Gamma Function

Put the gamma function for the source field into the target field.

Hyperbolic Arc Cosine

Put the hyperbolic arc cosine of the source field into the target field.

Hyperbolic Arc Sine

Put the hyperbolic arc sine of the source field into the target field.

Hyperbolic Arc Tangent

Put the hyperbolic arc tangent of the source field into the target field.

Hyperbolic Cosine

Put the hyperbolic cosine of the source field into the target field.

Hyperbolic Sine

Put the hyperbolic sine of the source field into the target field.

Hyperbolic Tangent

Put the hyperbolic tangent of the source field into the target field.

Hypotenuse

The great and ancient Pythagorean theorem: The square root of the sum of the squares of the two sides of a right triangle.  Save into the target the value of the hypotenuse taking two given source fields as DX and DY.

Log-gamma Function

The log-gamma function takes the natural logarithm of the gamma function for the source field and stores the result into the target field.

Logarithm

Put the base e logarithm (also called the natural logarithm) of the source field into the target field.

Maximum Value

Take the maximum, that is the greater value, of either the source field or the comparison field and save into the target field.

Modulo

The remainder (of a congruence) function: Take what is left over by the integral division of the source field by the given Divide by value and place into the target field.

Multiply

Multiply the two source fields and place the result into the target field.

Negate

Multiply the source field by -1 and place the result into the target field.

Noise

Place random noise values into pixels over the given range.

Parse Base64 String

Takes a base64-encoded string that encodes a tile value, convert it back into the original value and store into the tile.

Parse Hex String

Takes a hex-encoded string that encodes a tile value, convert it back into the original value and store into the tile.

Power

Compute the source field to the power of the specified Power value and put the result into the target field. A Power of 2 is the source field squared while a Power of 3 is the source field cubed.

Power of 10

Compute 10 to the power of the source field and put the result into the target field.  If the source field has values 1, 2, 3,... the result of Power of 10 will be 10, 100, 1000,....   For anything but small numbers in the source field such exponentiation very rapidly results in numbers larger than can be represented in most types and thus stores a NULL in the target.  

Power of 2

Compute 2 to the power of the source field and put the result into the target field.  If the source field has values 1, 2, 3,... the result of Power of 2 will be 2, 4, 8,....   For anything but small numbers in the source field such exponentiation very rapidly results in numbers larger than can be represented in most types and thus stores a NULL in the target.  

Reciprocal Cube Root

Also known as the inverse cube root: Take 1 divided by the cube root of the source field and put the result into the target field.

Reciprocal Square Root

Also known as the inverse square root: Take 1 divided by the square root of the source field and put the result into the target field.

Round

Round a source field with a fractional part up or down to the nearest integer and put the result into the target field.

Round to Decimals

Round a source field with a fractional part up or down to the number of decimals specified by  Decimals and put the result into the target field.

Sign

For a source field that is positive or negative put a 1 or -1 respectively into the target field.

Sine

Take the sine of the source field and put it into the target field.

Square Root

Take the square root of the source field and put it into the target field.

Subtract

Subtract one source field from the other and put the result into the target field.

Tangent

Take the tangent of the source field and put it into the target field.

Truncate

Take the integer part of the source field, discarding any decimal fraction part, and put the result into the target field.

Truncate to Decimals

Take the integer part of the source field as well as any decimal fraction up to the specified number of Decimal places, discarding any decimal fraction part beyond, and put the result into the target field.