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# Mandelbrot set
#
# Install:
# $ git clone https://github.com/akkartik/mu
# $ cd mu
# Build on Linux:
# $ ./translate apps/mandelbrot.mu
# Build on other platforms (slow):
# $ ./translate_emulated apps/mandelbrot.mu
# Run:
# $ qemu-system-i386 code.img
fn main screen: (addr screen), keyboard: (addr keyboard), data-disk: (addr disk) {
mandelbrot screen
}
fn mandelbrot screen: (addr screen) {
var a/eax: int <- copy 0
var b/ecx: int <- copy 0
a, b <- screen-size screen
var width/esi: int <- copy a
width <- shift-left 3/log2-font-width
var height/edi: int <- copy b
height <- shift-left 4/log2-font-height
var y/ecx: int <- copy 0
{
compare y, height
break-if->=
var imaginary/xmm1: float <- viewport-to-imaginary y, width, height
var x/edx: int <- copy 0
{
compare x, width
break-if->=
var real/xmm0: float <- viewport-to-real x, width
var iterations/eax: int <- mandelbrot-iterations-for-point real, imaginary, 0x400/max
compare iterations, 0x400/max
{
break-if->=
pixel screen, x, y, 0xf/white
}
compare iterations, 0x400/max
{
break-if-<
pixel screen, x, y, 0/black
}
x <- increment
loop
}
y <- increment
loop
}
}
fn mandelbrot-iterations-for-point real: float, imaginary: float, max: int -> _/eax: int {
var zero: float
var x/xmm0: float <- copy zero
var y/xmm1: float <- copy zero
var iterations/ecx: int <- copy 0
{
var done?/eax: boolean <- mandelbrot-done? x, y
compare done?, 0/false
break-if-!=
compare iterations, max
break-if->=
var newx/xmm2: float <- mandelbrot-x x, y, real
var newy/xmm3: float <- mandelbrot-y x, y, imaginary
x <- copy newx
y <- copy newy
iterations <- increment
loop
}
return iterations
}
fn mandelbrot-done? x: float, y: float -> _/eax: boolean {
# x*x + y*y > 4
var x2/xmm0: float <- copy x
x2 <- multiply x
var y2/xmm1: float <- copy y
y2 <- multiply y
var sum/xmm0: float <- copy x2
sum <- add y2
var four/eax: int <- copy 4
var four-f/xmm1: float <- convert four
compare sum, four-f
{
break-if-float>
return 0/false
}
return 1/true
}
fn mandelbrot-x x: float, y: float, real: float -> _/xmm2: float {
# x*x - y*y + real
var x2/xmm0: float <- copy x
x2 <- multiply x
var y2/xmm1: float <- copy y
y2 <- multiply y
var result/xmm0: float <- copy x2
result <- subtract y2
result <- add real
return result
}
fn mandelbrot-y x: float, y: float, imaginary: float -> _/xmm3: float {
# 2*x*y + imaginary
var two/eax: int <- copy 2
var result/xmm0: float <- convert two
result <- multiply x
result <- multiply y
result <- add imaginary
return result
}
# Scale (x, y) pixel coordinates to a complex plane where the viewport width
# ranges from -2 to +2. Viewport height just follows the viewport's aspect
# ratio.
fn viewport-to-real x: int, width: int -> _/xmm0: float {
# (x - width/2)*4/width
var result/xmm0: float <- convert x
var width-f/xmm1: float <- convert width
var two/eax: int <- copy 2
var two-f/xmm2: float <- convert two
var half-width-f/xmm2: float <- reciprocal two-f
half-width-f <- multiply width-f
result <- subtract half-width-f
var four/eax: int <- copy 4
var four-f/xmm2: float <- convert four
result <- multiply four-f
result <- divide width-f
return result
}
fn viewport-to-imaginary y: int, width: int, height: int -> _/xmm1: float {
# (y - height/2)*4/width
var result/xmm0: float <- convert y
var height-f/xmm1: float <- convert height
var half-height-f/xmm1: float <- copy height-f
var two/eax: int <- copy 2
var two-f/xmm2: float <- convert two
half-height-f <- divide two-f
result <- subtract half-height-f
var four/eax: int <- copy 4
var four-f/xmm1: float <- convert four
result <- multiply four-f
var width-f/xmm1: float <- convert width
result <- divide width-f
return result
}
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