From 6ac4658d75cadaf095af7994572d79ceb395af9a Mon Sep 17 00:00:00 2001 From: "Dmitry V. Sokolov" Date: Sun, 27 Jan 2019 15:34:54 +0100 Subject: [PATCH] fractal brownian motion --- out.jpg | Bin 79226 -> 86931 bytes tinykaboom.cpp | 42 ++++++++++++++++++++++++++++++++++++++++-- 2 files changed, 40 insertions(+), 2 deletions(-) diff --git a/out.jpg b/out.jpg index 9d5a69f5d8ee58ca4d9389fc72ce5a2926f77b28..ecc8a7d696aee4653af82302334b79ec14e238b9 100644 GIT binary patch literal 86931 zcmeFYbx>Q;*ESlQQYeMuF2UWUXekmX76@)FP&Bv{C{k!?ixUVGrw}Z-1-DYXxD`U6 zSaB%saQVG=zPaDr|L(l+fA?G2li72Uz4kdfCwr}DJs!zaMSBgDbRdi3zI@>2jd77i{J4mKV(E*=gpfB*{{2N#bFfKSd! z@Qh7_LYa_KRR1-*C)JA&i9j*%_iE}l|GLJP4>=6P!)a7t4=xxUT>sY$|I0rBfQOHb zOMpZ8pZR4U&gEeS9Bf=%Jly{*(8Ic6li}d9ir|qeU0N_%#7p$iP_DRf^^B$6jr*qSu(DFksbL?xowsS1_6QymrsXey^vMxJ$vJLKP zK-NBn$ro|eh{_kqMoa~M*7~Yu(jF8vGu5HkzQ}aFYk3u#D_e*RU@a-r5vdOqP4d@V znb&g9@SCoL&n-)RJ+Cp6Ag21g&0$tlaF;nqv5fOoMu7kyclqljo(?_Wy05|!Q9gpw zy`F{!Rq~;IUA)zW@&adM{M4zv_dVzKYQW$It@;Y)W=~&UT?geqvG)KE^vXSe5h#45 z{#so+MK-bLOV^8Uc-4tXF;4?$v#mPvyHl5+zjrICJYF5??M)rCv^FjF 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zL^p>E_)}&^KNR_4{Y9iBx~HJ~pz)%8aV${SBLIZc#JWB60mT|(Rw1|$L8oDxc2DQc Me-k5!_&f8z0A_HfZvX%Q diff --git a/tinykaboom.cpp b/tinykaboom.cpp index f636497..5171f37 100644 --- a/tinykaboom.cpp +++ b/tinykaboom.cpp @@ -8,14 +8,52 @@ #include "geometry.h" const float sphere_radius = 1.5; -const float noise_amplitude = 0.2; +const float noise_amplitude = 1.0; + +template inline T lerp(const T &v0, const T &v1, float t) { + return v0 + (v1-v0)*std::max(0.f, std::min(1.f, t)); +} + +float hash(const float n) { + float x = sin(n)*43758.5453f; + return x-floor(x); +} + +float noise(const Vec3f &x) { + Vec3f p(floor(x.x), floor(x.y), floor(x.z)); + Vec3f f(x.x-p.x, x.y-p.y, x.z-p.z); + f = f*(f*(Vec3f(3.f, 3.f, 3.f)-f*2.f)); + float n = p*Vec3f(1.f, 57.f, 113.f); + return lerp(lerp( + lerp(hash(n + 0.f), hash(n + 1.f), f.x), + lerp(hash(n + 57.f), hash(n + 58.f), f.x), f.y), + lerp( + lerp(hash(n + 113.f), hash(n + 114.f), f.x), + lerp(hash(n + 170.f), hash(n + 171.f), f.x), f.y), f.z); +} + +Vec3f rotate(const Vec3f &v) { + return Vec3f(Vec3f(0.00, 0.80, 0.60)*v, Vec3f(-0.80, 0.36, -0.48)*v, Vec3f(-0.60, -0.48, 0.64)*v); +} + +float fractal_brownian_motion(const Vec3f &x) { + Vec3f p = rotate(x); + float f = 0; + f += 0.5000*noise(p); p = p*2.32; + f += 0.2500*noise(p); p = p*3.03; + f += 0.1250*noise(p); p = p*2.61; + f += 0.0625*noise(p); + return f/0.9375; +} float signed_distance(const Vec3f &p) { - float displacement = sin(16*p.x)*sin(16*p.y)*sin(16*p.z)*noise_amplitude; + float displacement = -fractal_brownian_motion(p*3.4)*noise_amplitude; return p.norm() - (sphere_radius + displacement); } bool sphere_trace(const Vec3f &orig, const Vec3f &dir, Vec3f &pos) { + if (orig*orig - pow(orig*dir, 2) > pow(sphere_radius, 2)) return false; // early discard + pos = orig; for (size_t i=0; i<128; i++) { float d = signed_distance(pos);