Mirrors a value in a numberline Args: pt : real value in numberline delta: value to mirror Returns: pt - de

Reads an integer value in an unsigned byte array Args: offset: uint starting offset in buffer or array

Sets pixel at (x, y) in a bitmap to color c Args: bmp : unsigned byte array with bmp format x, y: unsigned int

Saves bitmap to file Args: filename: full path to the file to be saved bmp : unsigned byte array

Gets the y value stored in the windows bmp header Args: bmp: unsigned byte array with bmp format Returns:

Gets the x value stored in the windows bmp header Args: bmp: unsigned byte array with bmp format Returns:

Checks is value is within high and low limits Args: value : numeric variable to check highlimit: upper

Get the chars or bytes in row of a BMP Args: bmp: unsigned byte array with bmp format Returns: count of

Returns the correct function to use in computing offsets with headers in a given bmp Args: bmp: unsigned byte array

Gets the RGB palette of a bitmap Args: bmp: unsigned byte array with bmp format Returns: [(r: byte, g: b

Load bitmap to a byte array (uncompressed bitmap only) Args: filename: full path to the file to be loaded

Rounds off the components of a vector (list of floats -> list of ints) Args: v: list of floats Returns: list o

Bytearray-like array

Yields (int, int) 2D vertices along a path defined by radius r as it traces one fourth of a circle with origin set at (0, 0) tuned for

Add vectors u and v by adding their components Args: u, v: list of ints or floats Returns: list of ints or floats

Decompose into bytes before byteextend

Yields a Multi Fractal Args: x1, y1, x2, y2: rectangular area to draw in d : any paramat

Write a PNG chunk to the output file, including length and checksum.

Returns trueval if boolcond is true else return falseval Args: boolcond: an expression that evalu

Draw a Multi Fractal Args: bmp : unsigned byte array with bmp format

Sorts the x and y values that sets a rectangular area Args: x1, x2: int x coordinates y1, y2: int y coordinates Return

Color matching from a 24-bit palette to any 1, 4 or 8-bit palette using Euclidean distance minimization in an rgb

Mix a byte luminosity value to an rgb triplet that express a color value in [r, g, b] ratios from 0.0 to 1.0 to ob

Saves a Multi Fractal to a file Args: file : full path to new file x : width of bitmap y : height of

Set the value of val to maxval if val > maxval Args: val : numeric variable maxval: upper limit of variable Returns:

Get the maximum number of colors supported by a BMP Args: bmp: unsigned byte array with bmp format Returns:

Yields a Multi Fractal with a complex number parameter Args: x1, y1, x2, y2: rectangular area to draw in

Creates a new in-memory bitmap Args: x, y : unsigned int values of x and y dims colorbits: bit depth

Draw a Multifractal with a complex parameter Args: bmp : unsigned byte array

Get the number of bytes in a bmp row given x dimension and bit depth Args: x : unsigned int value of x-dimension

Returns a rgb array from int i color input Args: i: color value Returns: unsigned byte RGB array

Saves a Fractal with two parameters to a file Args: file : full path to new file x : width of bitmap y

Sets offset in array to arraybuf Args: bmp : unsigned byte array with bmp format offset : unsigned in

Apply a user provided function (no parameters) to a circular area Args: ExistingBMPfile: Whole path to

Apply a byref function with no parameters to a rectangular region and save Args: ExistingBMPfile: Whole path to

Apply a by-ref function with no parameters and save Args: ExistingBMPfile: Whole path to existing file

Draws a Filled Rectangle Args: bmp : unsigned byte array with bmp format

Gets the max x and y values stored in the bmp header Args: bmp: unsigned byte array with bmp format Returns:

Draws a string using a function Args: bmp : unsigned byte array with

Set the value of val to minval if val < minval Args: val : numeric variable minval: lower limit of variable Returns:

Subtracts vectors u and v by subtracting their components Args: u, v: list of ints or floats Returns: list of ints or

Get the header size of a BMP Args: bmp: unsigned byte array with bmp format Returns: int value of header

Biomorph Function Args: f : a function f(z, d, c) z : complex number d : float (exponent) c : complex numbe

Draw a Horizontal Line Args: bmp : unsigned byte array with bmp format y : constant y value

Scan a rectangular area and yield scan lines Args: bmp : unsigned byte array

Yields (int, int) 2D vertices along a line segment defined by endpoints p1 and p2 Args: p1, p2: line endpoints

Calculates a number between two numbers at a specific increment. Args: a, b: float values f : the amount to interpola

Read the PNG file and decode it. Returns (`width`, `height`, `pixels`, `metadata`). May use excessive memory. `pix

Set the value of val to minval if val < minval or the value of val to maxval if val > maxval Args: val : numeric variable

Compute the Magnitude or length of a vector v of arbitrary dimension n equal to len(v) Args: v: list of ints or floats Ret

Get the file size of a win bmp from its bmp header Args: bmp: unsigned byte array with bmp format Return

Checks if an entire circle is within a rectagular area Args: x, y: center of the ellipse xmin, ymin: min (x, y) bounds

Checks if (x,y) coordinates are within the BMP Args: bmp : unsigned byte array with bmp format x, y: unsigned

Check if `x` is platform native integer

Gets the inner product of vector u and vector v Args: u, v: list of ints or floats Returns: list of ints or floats

Draws a string using a function to a file Args: file : new file draw the string str2plo

Swaps val1 and val2 if boolcond is true Args: boolcond : an expression that evaluates as either

Write a PNG image to the output file. `rows` should be an iterable that yields each row in boxed row flat pixel format. The

Get the bit depth of BMP Args: bmp: unsigned byte array with bmp format Returns: int value of bit depth

Compute the Distance or length of a vector v of arbitrary dimension n in a n-dimensional Euclidean space where u and v are both vectors

Scales a vector by multiplying a scalar value (float) to all components of the vector or a list of numbers Args: v : the v

Applies a xor operation of between the elements of two lists of ints Args: v : list[int] bitmask: int Return

Pack byte r, g and b color value components to an int representation for a specific color Args: r, g, b: co

Apply a user provided color adjustment function to a circular area (24-bit only) Args: ExistingBMPfile: Whole path to

Break down int color i to its byte valued r, g and b components Args: i: int color value Returns: r:

trivial `next` emulation

Draws an Attractor from a list of x, y pairs Args: v : list of [x, y] coordinate pairs x, y: int dimensions of bmp

Get the offset in a byte array with RGB data given x and y Args: bmp: unsigned byte array with bmp format x,y:

Get the offset in a byte array with RGB data given x and y with bmp header Args: bmp: unsigned byte array with bm

Get the offset in a byte array with 8 bit color data given x and y with adjustments made for a bmp header Args: bmp : u

Returns the offset given a bmp and (x, y) coordinates Args: bmp : unsigned byte array with bmp format x, y: un

Apply a 24-bit byref color modification function to a rectangular area and save Args: ExistingBMPfile: Whole path to

Apply a byref function with parameters to a rectangular area and save Args: ExistingBMPfile: Whole path to

Apply a user provided function with parameters to a circular area Args: ExistingBMPfile: Whole path to

Default version

Draws a Circle Args: bmp : unsigned byte array with bmp format x, y, r : center (x,y)

Scales a vector by multiplying a scalar value (float) to all components of the vector or a list of numbers then rounds off values in the lis

Yields (int, int) 2D vertices along a path defined by radius r as it traces a circle with origin set at (x, y) Args: x, y: i

Gets the average of a list of numbers Args: v: the vector or a list of ints or floats Returns: float

Returns an int depending on the sign of val Args: val : a Number Returns: Postive value -> 1 zero -

Converts an unsigned byte array to an integer value Args: buf: unsigned byte array Returns: unsigned int valu

Copies the RGB palette info from a source unsigned byte array to a destination unsigned byte array Args: sourceBMP and destB

Flips a 4-bit image buffer Args: buf: unsigned byte array Returns: unsigned byte array

Gets the raw image buffer of a bmp without the header Args: bmp: unsigned byte array with bmp format Returns:

Break down int color i to its byte valued r, g and b components in a list Args: i: int color value Returns:

Returns a packed int RGB value interpolated with functon f and float value v Args: f : interpolation function r1, r

Sets the color of a pixel at (x, y) Args: bmp: unsigned byte array with bmp format v : (x:int, y:int)

Yields (int, int) 2D vertices along a path defined by major and minor axes b and a as it traces one fourth of an ellipse with origin se

Yields (r, g, b) information for the entire bitmap Args: bmp : unsigned byte array with bmp format

Draw a line in a bitmap Args: bmp : unsigned byte array with bmp format u, v : (x:float,y:float)

Mirrors the left-half of a rectangular area Args: bmp : unsigned byte array

Mirrors the right-half of a rectangular area in a bitmap Args: bmp : unsigned byte array

fast init by length

Draws a string Args: bmp : unsigned byte array with bmp format

Does a bit rotate to the bytes in an unsigned byte array Args: buf: unsigned byte array Returns: unsigned byt

Sets the RGB palette of a bitmap Args: bmp : unsigned byte array with bmp format pallist: [(r: byte,

Draw a Thick Rounded Line Args: bmp : unsigned byte array with bmp format p1, p2 : (x, y) endpo