nim-mandelbrot/mandelbrot.nim
joachimschmidt557 2948a9ea5d WIP
2019-03-07 14:00:15 +01:00

38 lines
1.1 KiB
Nim

import sequtils, math, complex, colors, hsb
proc getComplexValueForPixel(x:int, y:int, height:int, width:int, zoom:float64): Complex[float64] =
complex64((x.float64-width.float64/2.0'f64)/zoom, (y.float64-height.float64/2.0'f64)/zoom)
proc colorMap(i:int, nMax:int): Color =
let
h = if (float(i) / 100'f64) <= 1.0:
(float(i) / 100'f64) * 360'f64
else: 360'f64
s = 1'f64
v = if i < nMax: 1'f64 else: 0'f64
result = hsbToRgb(h, s, v)
proc generatePixel(x:int, y:int, height:int, width:int, zoom:float64,
rMax: int, maxIter:int) : Color =
let c = getComplexValueForPixel(x, y, height, width, zoom)
var
n = maxIter
z = complex64(0'f64, 0'f64)
for i in 0..maxIter-1:
if z.abs >= rMax.float64:
n = i
break
z = c + z * z
result = colorMap(n, maxIter)
proc generateImage*(width:int, height:int, zoom:float64, rMax:int, maxIter:int): seq[seq[Color]] =
result = newSeqWith(height, newSeq[Color](width))
for y in 0..height-1:
for x in 0..width-1:
result[y][x] = generatePixel(x, y, height, width, zoom, rMax, maxIter)