tf_mandelbrot*

Computes the Mandelbrot set over the complex domain [x_min, x_max), [y_min, y_max), discretizing the xy-space into an output of dimensions x_pixels X y_pixels. The output for each cell is the number of iterations needed to escape to infinity, up to and including the specified max_iterations.

• tf_mandelbrot

• tf_mandelbrot_float

• tf_mandelbrot_cuda

• tf_mandelbrot_cuda_float

tf_mandelbrot

SELECT * FROM TABLE(
  tf_mandelbrot( 
    x_pixels => <x_pixels>,
    y_pixels => <y_pixels>,
    x_min => <x_min>,
    x_max => <x_max>,
    y_min => <y_min>,
    y_max => <y_max>,
    max_iterations => <max_iterations>
  )
)  

Parameter	Data Type
x_pixels	32-bit integer
y_pixels	32-bit integer
x_min	DOUBLE
x_max	DOUBLE
y_min	DOUBLE
y_max	DOUBLE
max_iterations	32-bit integer

Example

Computed Mandelbrot set using the HEAVY.AI Vega demo

tf_mandelbrot_cuda

SELECT * FROM TABLE(
  tf_mandelbrot_cuda( <x_pixels>, <y_pixels>, <x_min>, <x_max>, <y_min>, <y_max>, <max_iterations>
  )
)

Parameter	Data Type
x_pixels	32-bit integer
y_pixels	32-bit integer
x_min	DOUBLE
x_max	DOUBLE
y_min	DOUBLE
y_max	DOUBLE
max_iterations	32-bit integer

tf_mandelbrot_float

SELECT * FROM TABLE(
  tf_mandelbrot_float(<x_pixels>, <y_pixels>, <x_min>, <x_max>, <y_min>, <y_max>, <max_iterations>
  )
)

Parameter	Data Type
x_pixels	32-bit integer
y_pixels	32-bit integer
x_min	DOUBLE
x_max	DOUBLE
y_min	DOUBLE
y_max	DOUBLE
max_iterations	32-bit integer

tf_mandelbrot_cuda_float

SELECT * FROM TABLE(
  tf_mandelbrot_cuda_float( <x_pixels>, <y_pixels>, <x_min>, <x_max>, <y_min>, <y_max>, <max_iterations>
  )
)

Parameter	Data Type
x_pixels	32-bit integer
y_pixels	32-bit integer
x_min	DOUBLE
x_max	DOUBLE
y_min	DOUBLE
y_max	DOUBLE
max_iterations	32-bit integer