forked from AbleOS/ableos
cooler mandelbrot
This commit is contained in:
parent
5b3a97e580
commit
642b0b74b5
14
Cargo.lock
generated
14
Cargo.lock
generated
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@ -88,18 +88,18 @@ checksum = "baf1de4339761588bc0619e3cbc0120ee582ebb74b53b4efbf79117bd2da40fd"
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[[package]]
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name = "crossbeam-queue"
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version = "0.3.11"
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version = "0.3.12"
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source = "registry+https://github.com/rust-lang/crates.io-index"
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checksum = "df0346b5d5e76ac2fe4e327c5fd1118d6be7c51dfb18f9b7922923f287471e35"
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checksum = "0f58bbc28f91df819d0aa2a2c00cd19754769c2fad90579b3592b1c9ba7a3115"
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dependencies = [
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"crossbeam-utils",
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]
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[[package]]
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name = "crossbeam-utils"
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version = "0.8.20"
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version = "0.8.21"
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source = "registry+https://github.com/rust-lang/crates.io-index"
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checksum = "22ec99545bb0ed0ea7bb9b8e1e9122ea386ff8a48c0922e43f36d45ab09e0e80"
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checksum = "d0a5c400df2834b80a4c3327b3aad3a4c4cd4de0629063962b03235697506a28"
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[[package]]
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name = "derive_more"
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@ -213,12 +213,12 @@ dependencies = [
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[[package]]
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name = "hbbytecode"
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version = "0.1.0"
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source = "git+https://git.ablecorp.us/AbleOS/holey-bytes.git#dc96c8b10ae85af7a11bd1e8ca2cd29e2c42a033"
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source = "git+https://git.ablecorp.us/AbleOS/holey-bytes.git#9f43e3bb925534f613cb2089df6e5fe315fc851a"
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[[package]]
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name = "hblang"
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version = "0.1.0"
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source = "git+https://git.ablecorp.us/AbleOS/holey-bytes.git#dc96c8b10ae85af7a11bd1e8ca2cd29e2c42a033"
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source = "git+https://git.ablecorp.us/AbleOS/holey-bytes.git#9f43e3bb925534f613cb2089df6e5fe315fc851a"
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dependencies = [
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"hashbrown",
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"hbbytecode",
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@ -229,7 +229,7 @@ dependencies = [
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[[package]]
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name = "hbvm"
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version = "0.1.0"
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source = "git+https://git.ablecorp.us/AbleOS/holey-bytes.git#dc96c8b10ae85af7a11bd1e8ca2cd29e2c42a033"
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source = "git+https://git.ablecorp.us/AbleOS/holey-bytes.git#9f43e3bb925534f613cb2089df6e5fe315fc851a"
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dependencies = [
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"hbbytecode",
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]
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@ -1,45 +1,66 @@
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// ln_f32 := fn(x: f32): f32 {
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// if x <= 0 {
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// return -1000000000000000.0
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// }
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// approx := x - 1.0
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// i := 0
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// loop if i == 10 break else {
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// exp_approx := exp_f32(approx)
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// approx -= (exp_approx - x) / exp_approx
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// i += 1
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// }
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// return approx
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// }
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ln_f64 := fn(x: f64): f64 {
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if x <= 0.0 return -100000000000000000000000.0
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if x == 1.0 return 0.0
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if x == E return 1.0
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// exp_f32 := fn(x: f32): f32 {
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// sum := 1.0
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// term := 1.0
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// n := @as(int, 1)
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// loop if n == 20 break else {
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// term *= x / @floatcast(@itf(n))
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// sum += term
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// if term < 0.000006 break
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// n += 1
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// }
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// return sum
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// }
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scale := @as(f64, 0.0)
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scaled_x := x
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// sqrt_f32 := fn(x: f32): f32 {
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// if x <= 0 {
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// return 0.0
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// }
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// guess := x / 2.0
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// tolerance := 0.000001
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// loop {
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// new_guess := (guess + x / guess) / 2.0
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// if guess - new_guess < tolerance {
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// break
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// }
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// guess = new_guess
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// }
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// return guess
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// }
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if scaled_x > 2.0 {
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loop if scaled_x <= 2.0 break else {
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scaled_x = scaled_x / E
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scale += 1.0
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}
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} else if scaled_x < 1.0 {
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loop if scaled_x >= 1.0 {
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scaled_x = scaled_x * E
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scale -= 1.0
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}
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}
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guess := (scaled_x - 1.0) / (scaled_x + 1.0)
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max_iter := 30
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i := 0
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loop if i == max_iter break else {
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exp_g := exp_f64(guess)
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f := exp_g - scaled_x
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f_prime := exp_g
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delta := f / (f_prime * (1.0 - 0.5 * f * f_prime / (f_prime * f_prime)))
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guess = guess - delta
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if abs_f64(delta) < 0.0000000001 break
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i += 1
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}
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return guess + scale
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}
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exp_f64 := fn(x: f64): f64 {
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result := @as(f64, 1.0)
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term := @as(f64, 1.0)
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n := @as(int, 1)
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loop if n == 20 break else {
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term = term * x / @itf(n)
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result += term
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if abs_f64(term) < 0.0000000001 break
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n += 1
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}
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return result
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}
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abs_f64 := fn(x: f64): f64 {
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if x < 0 return -x else return x
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}
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lerp_f64 := fn(v0: f64, v1: f64, t: f64): f64 {
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return v0 + t * (v1 - v0)
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}
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render := @use("lib:render")
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sunset := @use("lib:sunset_proto");
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@ -57,22 +78,21 @@ $X_MAX := -0.93
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$Y_MIN := 0.31
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$Y_MAX := 0.306
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// if you use the minibrot this should be at least 100 to actually see the minibrot,
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// if you use the mandelbrot it looks best under 30
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$MAX_MAX_ITERATION := 30000000
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$MAX_ITERATION := 300
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$USE_SUNSET := true
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$USE_SUNSET := false
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$COLOUR_R := 200
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$COLOUR_G := 100
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$COLOUR_B := 255
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// $COLOUR_R := 255
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// $COLOUR_G := 255
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// $COLOUR_B := 255
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$LOG_2 := 0.693147180559945309417232121458176568
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$E := 2.71828182845904523536028747135266250
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// $INTERIOR_COLOUR := render.WHITE
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$INTERIOR_COLOUR := render.Color.{r: COLOUR_R, g: COLOUR_G, b: COLOUR_B, a: 255}
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$INTERIOR_COLOUR := render.BLACK
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palette := [render.Color].(render.RED, render.YELLOW, render.GREEN, render.CYAN, render.BLUE, render.MAGENTA)
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$LEN_PALETTE := @sizeof(@TypeOf(palette)) / @sizeof(render.Color)
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example := fn(): void {
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screen := @as(render.Surface, idk)
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@ -90,74 +110,64 @@ example := fn(): void {
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}
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screen.clear(INTERIOR_COLOUR)
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max_iteration := 0
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prev_max_iteration := 0
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x_scale := @as(f64, X_MAX - X_MIN) / @itf(@bitcast(screen.width))
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y_scale := @as(f64, Y_MAX - Y_MIN) / @itf(@bitcast(screen.height))
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x_scale := (X_MAX - X_MIN) / @floatcast(@itf(@bitcast(screen.width)))
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y_scale := (Y_MAX - Y_MIN) / @floatcast(@itf(@bitcast(screen.height)))
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py := 0
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loop if py == screen.height break else {
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px := 0
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loop if px >= screen.width break else {
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x0 := @as(f64, X_MIN) + @itf(@bitcast(px)) * x_scale
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y0 := @as(f64, Y_MIN) + @itf(@bitcast(py)) * y_scale
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loop if max_iteration >= MAX_MAX_ITERATION break else {
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py := 0
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loop if py == screen.height break else {
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px := 0
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loop if px >= screen.width break else {
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x0 := X_MIN + @floatcast(@itf(@bitcast(px))) * x_scale
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y0 := Y_MIN + @floatcast(@itf(@bitcast(py))) * y_scale
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q := (x0 - 0.25) * (x0 - 0.25) + y0 * y0
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if q * (q + x0 - 0.25) <= 0.25 * y0 * y0 {
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px += 1
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continue
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}
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if (x0 + 1.0) * (x0 + 1.0) + y0 * y0 <= 0.0625 {
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px += 1
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continue
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}
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x := 0.0
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y := 0.0
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iteration := 0
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x2 := x * x
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y2 := y * y
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loop if iteration == max_iteration break else {
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if x2 + y2 > 4.0 break
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y = 2.0 * x * y + y0
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x = x2 - y2 + x0
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iteration += 1
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x2 = x * x
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y2 = y * y
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}
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smooth_value := @itf(@bitcast(iteration - prev_max_iteration / 10)) / @itf(@bitcast(max_iteration))
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smooth_value *= smooth_value * (3 - 2 * smooth_value)
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if iteration < max_iteration & iteration > prev_max_iteration / 10 {
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colour := render.Color.{
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r: @intcast(@fti(smooth_value * COLOUR_R)),
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g: @intcast(@fti(smooth_value * COLOUR_G)),
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b: @intcast(@fti(smooth_value * COLOUR_B)),
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a: 0,
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}
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screen.put_pixel(.(px, py), colour)
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}
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// faster
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if iteration >= max_iteration {
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px += 2
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} else if iteration < 5 {
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screen.put_hline(py, px, px + 5, .(0, 0, 0, 0))
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px += 5
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} else {
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px += 1
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}
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// slower but more slightly more accurate
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// px += 1
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q := (x0 - 0.25) * (x0 - 0.25) + y0 * y0
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if q * (q + x0 - 0.25) <= 0.25 * y0 * y0 {
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px += 1
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continue
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}
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py += 1
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}
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prev_max_iteration = max_iteration
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max_iteration += 5
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if USE_SUNSET {
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_ = sunset.client.send_frame(window)
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if (x0 + 1.0) * (x0 + 1.0) + y0 * y0 <= 0.0625 {
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px += 1
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continue
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}
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x := @as(f64, 0.0)
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y := @as(f64, 0.0)
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iteration := 0
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loop if x * x + y * y > @itf(1 << 16) | iteration == MAX_ITERATION break else {
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x_temp := x * x - y * y + x0
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y = 2 * x * y + y0
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x = x_temp
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iteration += 1
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}
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c := *screen.indexptr(px, py)
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if c.r != INTERIOR_COLOUR.r | c.b != INTERIOR_COLOUR.b | c.g != INTERIOR_COLOUR.g {
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px += 1
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continue
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}
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if iteration < MAX_ITERATION {
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log_zn := ln_f64(x * x + y * y) / 2.0
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nu := ln_f64(log_zn / LOG_2) / LOG_2
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smoothed := @itf(@bitcast(iteration + 1)) - nu
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smoothed_int := @fti(smoothed)
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normalised := smoothed - @itf(smoothed_int)
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colour0 := palette[@bitcast(smoothed_int) % LEN_PALETTE]
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colour1 := palette[@bitcast(smoothed_int + 1) % LEN_PALETTE]
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colour := render.Color.{
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r: @intcast(@fti(lerp_f64(@itf(@intcast(colour0.r)), @itf(@intcast(colour1.r)), normalised))),
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g: @intcast(@fti(lerp_f64(@itf(@intcast(colour0.g)), @itf(@intcast(colour1.g)), normalised))),
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b: @intcast(@fti(lerp_f64(@itf(@intcast(colour0.b)), @itf(@intcast(colour1.b)), normalised))),
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a: 0,
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}
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screen.put_pixel(.(px, py), colour)
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}
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px += 1
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}
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py += 1
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}
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if USE_SUNSET loop {
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_ = sunset.client.send_frame(window)
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}
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}
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@ -25,11 +25,11 @@ resolution = "1024x768x24"
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[boot.limine.ableos.modules.render_example]
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path = "boot:///render_example.hbf"
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[boot.limine.ableos.modules.sunset_server]
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path = "boot:///sunset_server.hbf"
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# [boot.limine.ableos.modules.sunset_server]
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# path = "boot:///sunset_server.hbf"
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[boot.limine.ableos.modules.ps2_mouse_driver]
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path = "boot:///ps2_mouse_driver.hbf"
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# [boot.limine.ableos.modules.ps2_mouse_driver]
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# path = "boot:///ps2_mouse_driver.hbf"
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# [boot.limine.ableos.modules.ps2_keyboard_driver]
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# path = "boot:///ps2_keyboard_driver.hbf"
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