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munrocket revised this gist
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -490,11 +490,11 @@ fn sdBunny(p: vec3f) -> f32 { #### Union, Subtraction, Intersection - exact (outside), bound, bound ```rs fn opUnion(d1: f32, d2: f32) -> f32 { return min(d1, d2); } fn opSubtract(d1: f32, d2: f32) -> f32 { return max(d1, -d2); } fn opIntersect(d1: f32, d2: f32) -> f32 { return max(d1, d2); } ``` <img src="https://habrastorage.org/webt/l6/md/vd/l6mdvd5dynh6ewrw3gpmkhsetow.jpeg" width="450px"> @@ -516,17 +516,17 @@ fn opChamferIntersect(d1: f32, d2: f32, r: f32) -> f32 { #### Blend Union, Blend Subtraction, Blend Intersection - bound, bound, bound ```rs fn opSmoothUnion(d1: f32, d2: f32, k: f32) -> f32 { let h = clamp(0.5 + 0.5 * (d2 - d1) / k, 0., 1.); return mix(d2, d1, h) - k * h * (1. - h); } fn opSmoothSubtract(d1: f32, d2: f32, k: f32) -> f32 { let h = clamp(0.5 - 0.5 * (d1 + d2) / k, 0., 1.); return mix(d1, -d2, h) + k * h * (1. - h); } fn opSmoothIntersect(d1: f32, d2: f32, k: f32) -> f32 { let h = clamp(0.5 - 0.5 * (d2 - d1) / k, 0., 1.); return mix(d2, d1, h) + k * h * (1. - h); } -
munrocket revised this gist
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -490,25 +490,25 @@ fn sdBunny(p: vec3f) -> f32 { #### Union, Subtraction, Intersection - exact (outside), bound, bound ```rs fn opSmoothUnion(d1: f32, d2: f32) -> f32 { return min(d1, d2); } fn opSmoothSubtract(d1: f32, d2: f32) -> f32 { return max(d1, -d2); } fn opSmoothIntersect(d1: f32, d2: f32) -> f32 { return max(d1, d2); } ``` <img src="https://habrastorage.org/webt/l6/md/vd/l6mdvd5dynh6ewrw3gpmkhsetow.jpeg" width="450px"> #### Chamfer Union, Chamfer Subtraction, Chamfer Intersection - bound, bound, bound ```rs fn opChamferUnion(d1: f32, d2: f32, r: f32) -> f32 { return min(min(d1, d2), (d1 - r + d2) * 0.5); } fn opChamferSubtract(d1: f32, d2: f32, r: f32) -> f32 { return max(max(d1, -d2), (d1 + r - d2) * 0.5); } fn opChamferIntersect(d1: f32, d2: f32, r: f32) -> f32 { return max(max(d1, d2), (d1 + r + d2) * 0.5); } ``` -
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -492,9 +492,9 @@ fn sdBunny(p: vec3f) -> f32 { ```rs fn opUnion(d1: f32, d2: f32) -> f32 { return min(d1, d2); } fn opSubtract(d1: f32, d2: f32) -> f32 { return max(d1, -d2); } fn opIntersect(d1: f32, d2: f32) -> f32 { return max(d1, d2); } ``` <img src="https://habrastorage.org/webt/l6/md/vd/l6mdvd5dynh6ewrw3gpmkhsetow.jpeg" width="450px"> @@ -504,29 +504,29 @@ fn opUnionChamfer(d1: f32, d2: f32, r: f32) -> f32 { return min(min(d1, d2), (d1 - r + d2) * 0.5); } fn opSubtractChamfer(d1: f32, d2: f32, r: f32) -> f32 { return max(max(d1, -d2), (d1 + r - d2) * 0.5); } fn opIntersectChamfer(d1: f32, d2: f32, r: f32) -> f32 { return max(max(d1, d2), (d1 + r + d2) * 0.5); } ``` <img src="https://habrastorage.org/webt/tg/vq/jr/tgvqjr32gtadua4rib-fvfxz4ta.jpeg" width="450px"> #### Blend Union, Blend Subtraction, Blend Intersection - bound, bound, bound ```rs fn opUnion(d1: f32, d2: f32, k: f32) -> f32 { let h = clamp(0.5 + 0.5 * (d2 - d1) / k, 0., 1.); return mix(d2, d1, h) - k * h * (1. - h); } fn opSubtract(d1: f32, d2: f32, k: f32) -> f32 { let h = clamp(0.5 - 0.5 * (d1 + d2) / k, 0., 1.); return mix(d1, -d2, h) + k * h * (1. - h); } fn opIntersect(d1: f32, d2: f32, k: f32) -> f32 { let h = clamp(0.5 - 0.5 * (d2 - d1) / k, 0., 1.); return mix(d2, d1, h) + k * h * (1. - h); } -
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -753,4 +753,4 @@ fn length8(p: vec3f) -> f32 { ``` <img src="https://habrastorage.org/webt/uw/dm/oz/uwdmozwn25o_dpcdlsrdb-ppevm.jpeg" width="150px"/> MIT License. © 2020 Inigo Quilez, Johann Korndörfer, Martijn Steinrucken, Blackle Mori, Munrocket -
munrocket revised this gist
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -431,6 +431,61 @@ fn udQuad(p: vec3f, a: vec3f, b: vec3f, c: vec3f, d: vec3f) -> f32 { ``` <img src="https://habrastorage.org/webt/fv/nu/yc/fvnuycg5uvk6bvjthgo8en0_7su.jpeg" width="150px"> #### Bunny - bound ```rs fn sdBunny(p: vec3f) -> f32 { if (dot(p, p) > 1.) { return length(p) - .8; } let q = vec4f(p, 1.); let f00=sin(mat4x4f(-3.02,1.95,-3.42,-.6,3.08,.85,-2.25,-.24,-.29,1.16,-3.74,2.89,-.71,4.5,-3.24,-3.5)*q); let f01=sin(mat4x4f(-.4,-3.61,3.23,-.14,-.36,3.64,-3.91,2.66,2.9,-.54,-2.75,2.71,7.02,-5.41,-1.12,-7.41)*q); let f02=sin(mat4x4f(-1.77,-1.28,-4.29,-3.2,-3.49,-2.81,-.64,2.79,3.15,2.14,-3.85,1.83,-2.07,4.49,5.33,-2.17)*q); let f03=sin(mat4x4f(-.49,.68,3.05,.42,-2.87,.78,3.78,-3.41,-2.65,.33,.07,-.64,-3.24,-5.9,1.14,-4.71)*q); let f10=sin(mat4x4f(-.34,.06,-.59,-.76,.1,-.19,-.12,.44,.64,-.02,-.26,.15,-.16,.21,.91,.15)*f00+ mat4x4f(.01,.54,-.77,.11,.06,-.14,.43,.51,-.18,.08,.39,.2,.33,-.49,-.1,.19)*f01+ mat4x4f(.27,.22,.43,.53,.18,-.17,.23,-.64,-.14,.02,-.1,.16,-.13,-.06,-.04,-.36)*f02+ mat4x4f(-.13,.29,-.29,.08,1.13,.02,-.83,.32,-.32,.04,-.31,-.16,.14,-.03,-.2,.39)*f03+ vec4f(.73,-4.28,-1.56,-1.8))+f00; let f11=sin(mat4x4f(-1.11,.55,-.12,-1.00,.16,.15,-.3,.31,-.01,.01,.31,-.42,-.29,.38,-.04,.71)*f00+ mat4x4f(.96,-.02,.86,.52,-.14,.6,.44,.43,.02,-.15,-.49,-.05,-.06,-.25,-.03,-.22)*f01+ mat4x4f(.52,.44,-.05,-.11,-.56,-.1,-.61,-.4,-.04,.55,.32,-.07,-.02,.28,.26,-.49)*f02+ mat4x4f(.02,-.32,.06,-.17,-.59,.00,-.24,.6,-.06,.13,-.21,-.27,-.12,-.14,.58,-.55)*f03+ vec4f(-2.24,-3.48,-.8,1.41))+f01; let f12=sin(mat4x4f(.44,-.06,-.79,-.46,.05,-.6,.3,.36,.35,.12,.02,.12,.4,-.26,.63,-.21)*f00+ mat4x4f(-.48,.43,-.73,-.4,.11,-.01,.71,.05,-.25,.25,-.28,-.2,.32,-.02,-.84,.16)*f01+ mat4x4f(.39,-.07,.9,.36,-.38,-.27,-1.86,-.39,.48,-.2,-.05,.1,-.00,-.21,.29,.63)*f02+ mat4x4f(.46,-.32,.06,.09,.72,-.47,.81,.78,.9,.02,-.21,.08,-.16,.22,.32,-.13)*f03+ vec4f(3.38,1.2,.84,1.41))+f02; let f13=sin(mat4x4f(-.41,-.24,-.71,-.25,-.24,-.75,-.09,.02,-.27,-.42,.02,.03,-.01,.51,-.12,-1.24)*f00+ mat4x4f(.64,.31,-1.36,.61,-.34,.11,.14,.79,.22,-.16,-.29,-.70,.02,-.37,.49,.39)*f01+ mat4x4f(.79,.47,.54,-.47,-1.13,-.35,-1.03,-.22,-.67,-.26,.1,.21,-.07,-.73,-.11,.72)*f02+ mat4x4f(.43,-.23,.13,.09,1.38,-.63,1.57,-.2,.39,-.14,.42,.13,-.57,-.08,-.21,.21)*f03+ vec4f(-.34,-3.28,.43,-.52))+f03; let f20=sin(mat4x4f(-.72,.23,-.89,.52,.38,.19,-.16,-.88,.26,-.37,.09,.63,.29,-.72,.3,-.95)*f10+ mat4x4f(-.22,-.51,-.42,-.73,-.32,.00,-1.03,1.17,-.2,-.03,-.13,-.16,-.41,.09,.36,-.84)*f11+ mat4x4f(-.21,.01,.33,.47,.05,.2,-.44,-1.04,.13,.12,-.13,.31,.01,-.34,.41,-.34)*f12+ mat4x4f(-.13,-.06,-.39,-.22,.48,.25,.24,-.97,-.34,.14,.42,-.00,-.44,.05,.09,-.95)*f13+ vec4f(.48,.87,-.87,-2.06))/1.4+f10; let f21=sin(mat4x4f(-.27,.29,-.21,.15,.34,-.23,.85,-.09,-1.15,-.24,-.05,-.25,-.12,-.73,-.17,-.37)*f10+ mat4x4f(-1.11,.35,-.93,-.06,-.79,-.03,-.46,-.37,.6,-.37,-.14,.45,-.03,-.21,.02,.59)*f11+ mat4x4f(-.92,-.17,-.58,-.18,.58,.6,.83,-1.04,-.8,-.16,.23,-.11,.08,.16,.76,.61)*f12+ mat4x4f(.29,.45,.3,.39,-.91,.66,-.35,-.35,.21,.16,-.54,-.63,1.1,-.38,.2,.15)*f13+ vec4f(-1.72,-.14,1.92,2.08))/1.4+f11; let f22=sin(mat4x4f(1.00,.66,1.3,-.51,.88,.25,-.67,.03,-.68,-.08,-.12,-.14,.46,1.15,.38,-.1)*f10+ mat4x4f(.51,-.57,.41,-.09,.68,-.5,-.04,-1.01,.2,.44,-.6,.46,-.09,-.37,-1.3,.04)*f11+ mat4x4f(.14,.29,-.45,-.06,-.65,.33,-.37,-.95,.71,-.07,1.00,-.6,-1.68,-.2,-.00,-.7)*f12+ mat4x4f(-.31,.69,.56,.13,.95,.36,.56,.59,-.63,.52,-.3,.17,1.23,.72,.95,.75)*f13+ vec4f(-.9,-3.26,-.44,-3.11))/1.4+f12; let f23=sin(mat4x4f(.51,-.98,-.28,.16,-.22,-.17,-1.03,.22,.7,-.15,.12,.43,.78,.67,-.85,-.25)*f10+ mat4x4f(.81,.6,-.89,.61,-1.03,-.33,.6,-.11,-.06,.01,-.02,-.44,.73,.69,1.02,.62)*f11+ mat4x4f(-.1,.52,.8,-.65,.4,-.75,.47,1.56,.03,.05,.08,.31,-.03,.22,-1.63,.07)*f12+ mat4x4f(-.18,-.07,-1.22,.48,-.01,.56,.07,.15,.24,.25,-.09,-.54,.23,-.08,.2,.36)*f13+ vec4f(-1.11,-4.28,1.02,-.23))/1.4+f13; return dot(f20,vec4f(.09,.12,-.07,-.03))+dot(f21,vec4f(-.04,.07,-.08,.05))+ dot(f22,vec4f(-.01,.06,-.02,.07))+dot(f23,vec4f(-.05,.07,.03,.04))- 0.16; } ``` <img src="https://habrastorage.org/webt/17/20/f7/1720f7wtpzfovqvjrabg4q6qnxu.jpeg" width="150px"> # Boolean operations with primitives #### Union, Subtraction, Intersection - exact (outside), bound, bound -
munrocket revised this gist
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -449,7 +449,7 @@ fn opUnionChamfer(d1: f32, d2: f32, r: f32) -> f32 { return min(min(d1, d2), (d1 - r + d2) * 0.5); } fn opSubtractionChamfer(d1: f32, d2: f32, r: f32) -> f32 { return max(max(d1, -d2), (d1 + r - d2) * 0.5); } -
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -2,8 +2,6 @@ Revision: 06.08.2023, https://compute.toys/view/407 #### Sphere - exact ```rs fn sdSphere(p: vec3f, r: f32) -> f32 { -
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -2,13 +2,6 @@ Revision: 06.08.2023, https://compute.toys/view/407 # Primitives #### Sphere - exact -
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -1,6 +1,6 @@ # WGSL 3D SDF Primitives Revision: 06.08.2023, https://compute.toys/view/407 #### How to use this gist: 1. Build a sphere tracer with WebGPU ([paper](https://www.researchgate.net/publication/2792108_Sphere_Tracing_A_Geometric_Method_for_the_Antialiased_Ray_Tracing_of_Implicit_Surfaces), [paper2](https://www.semanticscholar.org/paper/Enhanced-Sphere-Tracing-Keinert-Sch%C3%A4fer/4c9bd91bd044980f5746d623315be5285cc799c9), [youtube](https://www.youtube.com/watch?v=PGtv-dBi2wE)) -
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -65,6 +65,7 @@ fn sdBoxFrame(p: vec3f, b: vec3f, e: f32) -> f32 { fn sdGyroid(p: vec3f, h: f32) -> f32 { return abs(dot(sin(p), cos(p.zxy))) - h; } //d = max(sdBox(p, vec3f(.8)), .5 * sdGyroid((p+vec3f(2.)) * 6.5, .2) / 6.5); ``` <img src="https://habrastorage.org/webt/nu/mi/v9/numiv9d7cz6dfxrnkgripzbbai4.jpeg" width="150px"> -
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -165,7 +165,6 @@ fn sdInfiniteCylinder(p: vec3f, c: vec3f) -> f32 { fn sdCone(p: vec3f, h: f32, sincos: vec2f) -> f32 { // Alternatively pass q instead of (sin(alpha), cos(alpha)) let q = h * vec2f(sincos.x / sincos.y, -1.); let w = vec2f(length(p.xz), p.y); let a = w - q * clamp(dot(w,q) / dot(q,q), 0., 1.); let b = w - q * vec2f(clamp(w.x / q.x, 0., 1.), 1.); -
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -1,29 +1,27 @@ # WGSL 3D SDF Primitives Revision: 06.08.2023 #### How to use this gist: 1. Build a sphere tracer with WebGPU ([paper](https://www.researchgate.net/publication/2792108_Sphere_Tracing_A_Geometric_Method_for_the_Antialiased_Ray_Tracing_of_Implicit_Surfaces), [paper2](https://www.semanticscholar.org/paper/Enhanced-Sphere-Tracing-Keinert-Sch%C3%A4fer/4c9bd91bd044980f5746d623315be5285cc799c9), [youtube](https://www.youtube.com/watch?v=PGtv-dBi2wE)) 2. Create model with sdf functions from here 3. Add light and shadows 4. ??? 5. PROFIT # Primitives #### Sphere - exact ```rs fn sdSphere(p: vec3f, r: f32) -> f32 { return length(p) - r; } ``` <img src="https://habrastorage.org/webt/9s/1j/gw/9s1jgwsvfhr9-q0v1n1xpgozm3i.jpeg" width="150px"> #### Ellipsoid - bound (not exact) ```rs fn sdEllipsoid(p: vec3f, r: vec3f) -> f32 { let k0 = length(p / r); let k1 = length(p / (r * r)); return k0 * (k0 - 1.) / k1; @@ -33,56 +31,56 @@ fn sdEllipsoid(p: vec3<f32>, r: vec3<f32>) -> f32 { #### Box - exact ```rs fn sdBox(p: vec3f, b: vec3f) -> f32 { let q = abs(p) - b; return length(max(q, vec3f(0.))) + min(max(q.x, max(q.y, q.z)), 0.); } ``` <img src="https://habrastorage.org/webt/j0/jp/rp/j0jprpokpxonzzpiz9zdm1qh2os.jpeg" width="150px"> #### Round Box - exact ```rs fn sdRoundBox(p: vec3f, b: vec3f, r: f32) -> f32 { let q = abs(p) - b; return length(max(q, vec3f(0.))) + min(max(q.x,max(q.y, q.z)), 0.) - r; } ``` <img src="https://habrastorage.org/webt/vf/g0/ze/vfg0zewp6rc61gnwnextb8v3lo4.jpeg" width="150px"> #### Box Frame - exact ```rs fn sdBoxFrame(p: vec3f, b: vec3f, e: f32) -> f32 { let q = abs(p) - b; let w = abs(q + e) - e; return min(min( length(max(vec3f(q.x, w.y, w.z), vec3f(0.))) + min(max(q.x, max(w.y, w.z)), 0.), length(max(vec3f(w.x, q.y, w.z), vec3f(0.))) + min(max(w.x, max(q.y, w.z)), 0.)), length(max(vec3f(w.x, w.y, q.z), vec3f(0.))) + min(max(w.x, max(w.y, q.z)), 0.)); } ``` <img src="https://habrastorage.org/webt/tx/7v/gb/tx7vgburvrj0rlrgsgxea1c0dni.jpeg" width="150px"> #### Gyroid - bound ```rs fn sdGyroid(p: vec3f, h: f32) -> f32 { return abs(dot(sin(p), cos(p.zxy))) - h; } ``` <img src="https://habrastorage.org/webt/nu/mi/v9/numiv9d7cz6dfxrnkgripzbbai4.jpeg" width="150px"> #### Torus - exact ```rs fn sdTorus(p: vec3f, R: f32, r: f32) -> f32 { let q = vec2f(length(p.xz) - R, p.y); return length(q) - r; } ``` <img src="https://habrastorage.org/webt/7j/lz/fi/7jlzfitp9knoablnx38najyz8hu.jpeg" width="150px"> #### Capped Torus - exact ```rs fn sdCappedTorus(p: vec3f, R: f32, r: f32, sincos: vec2f) -> f32 { let q = vec3f(abs(p.x), p.y, p.z); let k = select(length(q.xy), dot(q.xy, sincos), sincos.y * q.x > sincos.x * q.y); return sqrt(dot(q, q) + R * R - 2. * R * k) - r; } @@ -91,16 +89,16 @@ fn sdCappedTorus(p: vec3<f32>, R: f32, r: f32, sincos: vec2<f32>) -> f32 { #### Link - exact ```rs fn sdLink(p: vec3f, R: f32, r: f32, le: f32) -> f32 { let q = vec3f(p.x, max(abs(p.y) - le, 0.), p.z); return length(vec2f(length(q.xy) - R, q.z)) - r; } ``` <img src="https://habrastorage.org/webt/fk/du/dh/fkdudhqfxcgl3m7fylehvsetnqa.jpeg" width="150px"> #### Capsule / Line - exact ```rs fn sdCapsule(p: vec3f, a: vec3f, b: vec3f, r: f32) -> f32 { let pa = p - a; let ba = b - a; let h = clamp(dot(pa, ba) / dot(ba, ba), 0., 1.); @@ -111,16 +109,16 @@ fn sdCapsule(p: vec3<f32>, a: vec3<f32>, b: vec3<f32>, r: f32) -> f32 { #### Vertical Capsule / Line - exact ```rs fn sdVerticalCapsule(p: vec3f, h: f32, r: f32) -> f32 { let q = vec3f(p.x, p.y - clamp(p.y, 0., h), p.z); return length(q) - r; } ``` <img src="https://habrastorage.org/webt/0l/nd/ot/0lndot80hvqtbnhh_6-ncloz7io.jpeg" width="150px"> #### Cylinder - exact ```rs fn sdCylinder(p: vec3f, a: vec3f, b: vec3f, r: f32) -> f32 { let ba = b - a; let pa = p - a; let baba = dot(ba, ba); @@ -138,39 +136,39 @@ fn sdCylinder(p: vec3<f32>, a: vec3<f32>, b: vec3<f32>, r: f32) -> f32 { #### Vertical Cylinder - exact ```rs fn sdVerticalCylinder(p: vec3f, h: f32, r: f32) -> f32 { let d = abs(vec2f(length(p.xz), p.y)) - vec2f(r, h); return min(max(d.x, d.y), 0.) + length(max(d, vec2f(0.))); } ``` <img src="https://habrastorage.org/webt/wr/lx/lq/wrlxlqcrexycg7fkfiygip_18u8.jpeg" width="150px"> #### Rounded Cylinder - exact ```rs fn sdRoundedCylinder(p: vec3f, h: f32, r: f32, re: f32) -> f32 { let d = vec2f(length(p.xz) - 2. * r + re, abs(p.y) - h); return min(max(d.x, d.y), 0.) + length(max(d, vec2f(0.))) - re; } ``` <img src="https://habrastorage.org/webt/d9/qs/3w/d9qs3wpn4bqozwi0vsgqw8xqps8.jpeg" width="150px"> #### Infinite Cylinder - exact ```rs fn sdInfiniteCylinder(p: vec3f, c: vec3f) -> f32 { return length(p.xz - c.xy) - c.z; } ``` <img src="https://habrastorage.org/webt/bo/-p/pf/bo-ppfbsp71n1srnrclo3qc9tby.jpeg" width="150px"> #### Cone - exact ```rs fn sdCone(p: vec3f, h: f32, sincos: vec2f) -> f32 { // Alternatively pass q instead of (sin(alpha), cos(alpha)) let q = h * vec2f(sincos.x / sincos.y, -1.); let w = vec2f(length(p.xz), p.y); let a = w - q * clamp(dot(w,q) / dot(q,q), 0., 1.); let b = w - q * vec2f(clamp(w.x / q.x, 0., 1.), 1.); let k = sign(q.y); let d = min(dot(a, a), dot(b, b)); let s = max(k * (w.x * q.y - w.y * q.x), k * (w.y - q.y)); @@ -181,16 +179,16 @@ fn sdCone(p: vec3<f32>, h: f32, sincos: vec2<f32>) -> f32 { #### Cone - bound (not exact) ```rs fn sdConeBound(p: vec3f, h: f32, sincos: vec2f) -> f32 { return max(dot(sincos.yx, vec2f(length(p.xz), p.y)), -h - p.y); } ``` <img src="https://habrastorage.org/webt/ie/lz/1h/ielz1hqyxdwhft2rt-x6333c478.jpeg" width="150px"> #### Infinite Cone - exact ```rs fn sdInfiniteCone(p: vec3f, sincos: vec2f) -> f32 { let q = vec2f(length(p.xz), -p.y); let d = length(q - sincos * max(dot(q, sincos), 0.)); return d * select(-1., 1., q.x * sincos.y - q.y * sincos.x > 0.0); } @@ -199,11 +197,11 @@ fn sdInfiniteCone(p: vec3<f32>, sincos: vec2<f32>) -> f32 { #### Capped Vertical Cone - exact ```rs fn sdCappedVerticalCone(p: vec3f, h: f32, r1: f32, r2: f32) -> f32 { let q = vec2f(length(p.xz), p.y); let k1 = vec2f(r2, h); let k2 = vec2f(r2 - r1, 2. * h); let ca = vec2f(q.x - min(q.x, select(r2, r1, q.y < 0.)), abs(q.y) - h); let cb = q - k1 + k2 * clamp(dot(k1 - q, k2) / dot(k2, k2), 0., 1.); let s = select(1., -1., cb.x < 0. && ca.y < 0.); return s * sqrt(min(dot(ca, ca), dot(cb, cb))); @@ -213,7 +211,7 @@ fn sdCappedVerticalCone(p: vec3<f32>, h: f32, r1: f32, r2: f32) -> f32 { #### Capped Cone - exact ```rs fn sdCappedCone(p: vec3f, a: vec3f, b: vec3f, ra: f32, rb: f32) -> f32 { let rba = rb - ra; let baba = dot(b - a, b - a); let papa = dot(p - a, p - a); @@ -233,21 +231,21 @@ fn sdCappedCone(p: vec3<f32>, a: vec3<f32>, b: vec3<f32>, ra: f32, rb: f32) -> f #### Round Vertical cone - exact ```rs fn sdRoundVerticalCone(p: vec3f, h: f32, r1: f32, r2: f32) -> f32 { let q = vec2f(length(p.xz), p.y); let b = (r1 - r2) / h; let a = sqrt(1. - b * b); let k = dot(q, vec2f(-b, a)); if (k < 0.) { return length(q) - r1; } if (k > a * h) { return length(q - vec2f(0., h)) - r2; } return dot(q, vec2f(a, b)) - r1; } ``` <img src="https://habrastorage.org/webt/rv/ww/-1/rvww-1s4txpfkheptynmb9m2jyg.jpeg" width="150px"> #### Round cone - exact ```rs fn sdRoundCone(p: vec3f, a: vec3f, b: vec3f, r1: f32, r2: f32) -> f32 { let ba = b - a; let l2 = dot(ba, ba); let rr = r1 - r2; @@ -272,8 +270,8 @@ fn sdRoundCone(p: vec3<f32>, a: vec3<f32>, b: vec3<f32>, r1: f32, r2: f32) -> f3 #### Solid Angle - exact ```rs fn sdSolidAngle(p: vec3f, sincos: vec2f, r: f32) -> f32 { let q = vec2f(length(p.xz), p.y); let l = length(q) - r; let m = length(q - sincos * clamp(dot(q, sincos), 0., r)); return max(l, m * sign(sincos.y * q.x - sincos.x * q.y)); @@ -283,7 +281,7 @@ fn sdSolidAngle(p: vec3<f32>, sincos: vec2<f32>, r: f32) -> f32 { #### Plane - exact ```rs fn sdPlane(p: vec3f, n: vec3f, h: f32) -> f32 { // n must be normalized return dot(p, n) + h; } @@ -292,22 +290,22 @@ fn sdPlane(p: vec3<f32>, n: vec3<f32>, h: f32) -> f32 { #### Octahedron - exact ```rs fn sdOctahedron(p: vec3f, s: f32) -> f32 { var q: vec3f = abs(p); let m = q.x + q.y + q.z - s; if (3. * q.x < m) {q = q.xyz;} else {if (3. * q.y < m) {q = q.yzx;} else {if (3. * q.z < m) {q = q.zxy;} else {return m * 0.57735027;}}} let k = clamp(0.5 * (q.z - q.y + s), 0., s); return length(vec3f(q.x, q.y - s + k, q.z - k)); } ``` <img src="https://habrastorage.org/webt/pt/eg/rt/ptegrtffv6andxzppbgkzpl8poe.jpeg" width="150px"> #### Octahedron - bound (not exact) ```rs fn sdOctahedronBound(p: vec3f, s: f32) -> f32 { let q = abs(p); return (q.x + q.y + q.z - s) * 0.57735027; } @@ -316,13 +314,13 @@ fn sdOctahedronBound(p: vec3<f32>, s: f32) -> f32 { #### Pyramid - exact ```rs fn sdPyramid(p: vec3f, h: f32) -> f32 { let m2 = h * h + 0.25; var xz: vec2f = abs(p.xz); xz = select(xz, xz.yx, xz[1] > xz[0]); xz = xz - vec2f(0.5); let q = vec3f(xz[1], h * p.y - 0.5 * xz[0], h * xz[0] + 0.5 * p.y); let s = max(-q.x, 0.); let t = clamp((q.y - 0.5 * xz[1]) / (m2 + 0.25), 0., 1.); @@ -337,20 +335,20 @@ fn sdPyramid(p: vec3<f32>, h: f32) -> f32 { #### Hexagonal Prism - exact ```rs fn sdHexPrism(p: vec3f, h: vec2f) -> f32 { let k = vec3f(-0.8660254, 0.5, 0.57735); let a = abs(p); let v = a.xy - 2. * min(dot(k.xy, a.xy), 0.) * k.xy; let d1 = length(v - vec2f(clamp(v.x, -k.z * h.x, k.z * h.x), h.x)) * sign(v.y - h.x); let d2 = a.z - h.y; return min(max(d1, d2), 0.) + length(max(vec2f(d1, d2), vec2f(0.))); } ``` <img src="https://habrastorage.org/webt/tz/2i/3n/tz2i3na0oscwx1g_skclcoduo3o.jpeg" width="150px"> #### Triangular Prism - bound ```rs fn sdTriPrism(p: vec3f, h: vec2f) -> f32 { let q = abs(p); return max(q.z - h.y, max(q.x * 0.866025 + p.y * 0.5, -p.y) - h.x * 0.5); } @@ -359,7 +357,7 @@ fn sdTriPrism(p: vec3<f32>, h: vec2<f32>) -> f32 { #### Quadratic Bezier - exact ```rs fn sdBezier(p: vec3f, A: vec3f, B: vec3f, C: vec3f) -> vec2f { let a = B - A; let b = A - 2. * B + C; let c = a * 2.; @@ -374,27 +372,27 @@ fn sdBezier(p: vec3<f32>, A: vec3<f32>, B: vec3<f32>, C: vec3<f32>) -> vec2<f32> let q = kx * (2.0 * kx * kx - 3.0 * ky) + kz; var h: f32 = q * q + 4. * p3; var res: vec2f; if (h >= 0.) { h = sqrt(h); let x = (vec2f(h, -h) - q) / 2.; let uv = sign(x) * pow(abs(x), vec2f(1. / 3.)); let t = clamp(uv.x + uv.y - kx, 0., 1.); let f = d + (c + b * t) * t; res = vec2f(dot(f, f), t); } else { let z = sqrt(-p1); let v = acos(q / (p1 * z * 2.)) / 3.; let m = cos(v); let n = sin(v) * 1.732050808; let t = clamp(vec2f(m + m, -n - m) * z - kx, vec2f(0.0), vec2f(1.0)); let f = d + (c + b * t.x) * t.x; var dis: f32 = dot(f, f); res = vec2f(dis, t.x); let g = d + (c + b * t.y) * t.y; dis = dot(g, g); res = select(res, vec2f(dis, t.y), dis < res.x); } res.x = sqrt(res.x); return res; @@ -404,7 +402,7 @@ fn sdBezier(p: vec3<f32>, A: vec3<f32>, B: vec3<f32>, C: vec3<f32>) -> vec2<f32> #### Triangle - exact ```rs fn udTriangle(p: vec3f, a: vec3f, b: vec3f, c: vec3f) -> f32 { let ba = b - a; let pa = p - a; let cb = c - b; let pb = p - b; let ac = a - c; let pc = p - c; @@ -423,7 +421,7 @@ fn udTriangle(p: vec3<f32>, a: vec3<f32>, b: vec3<f32>, c: vec3<f32>) -> f32 { #### Quad - exact ```rs fn udQuad(p: vec3f, a: vec3f, b: vec3f, c: vec3f, d: vec3f) -> f32 { let ba = b - a; let pa = p - a; let cb = c - b; let pb = p - b; let dc = d - c; let pc = p - c; @@ -502,23 +500,23 @@ fn opDisplace(d1: f32, d2: f32) -> f32 { #### Twist - bound ```rs fn opTwist(p: vec3f, k: f32) -> vec3f { let s = sin(k * p.y); let c = cos(k * p.y); let m = mat2x2<f32>(vec2f(c, s), vec2f(-s, c)); return vec3f(m * p.xz, p.y); } //let d = sdfPrimitive3d(opTwist(p, k)); ``` <img src="https://habrastorage.org/webt/9w/-e/5s/9w-e5spb9rqy41hepfwwqrfwd14.jpeg" width="150px"> #### Bend - bound ```rs fn opCheapBend(p: vec3f, k: f32) -> vec3f { let s = sin(k * p.x); let c = cos(k * p.x); let m = mat2x2<f32>(vec2f(c, s), vec2f(-s, c)); return vec3f(m * p.xy, p.z); } //let d = sdfPrimitive3d(opCheapBend(p, k)); ``` @@ -528,7 +526,7 @@ fn opCheapBend(p: vec3<f32>, k: f32) -> vec3<f32> { #### Translate - exact ```rs fn opTranslate(p: vec3f, t: vec3f) -> vec3f { return p - t; } //let d = sdfPrimitive3d(opTranslate(p, t)); @@ -537,54 +535,54 @@ fn opTranslate(p: vec3<f32>, t: vec3<f32>) -> vec3<f32> { #### 90 degree rotation - exact ```rs fn op90RotateX(p: vec3f) -> vec3f { return vec3f(p.x, p.z, -p.y); } fn op90RotateY(p: vec3f) -> vec3f { return vec3f(-p.z, p.y, p.x); } fn op90RotateZ(p: vec3f) -> vec3f { return vec3f(p.y, -p.x, p.z); } //let d = sdfPrimitive3d(op90RotateZ(p)); ``` <img src="https://habrastorage.org/webt/7h/he/pa/7hhepatlqmihfu7qy8xzkcx5udm.jpeg" width="150px"/> #### Rotation around axis - exact ```rs fn opRotateX(p: vec3f, a: f32) -> vec3f { let s = sin(a); let c = cos(a); return vec3f(p.x, c * p.y + s * p.z, -s * p.y + c * p.z); } fn opRotateY(p: vec3f, a: f32) -> vec3f { let s = sin(a); let c = cos(a); return vec3f(c * p.x - s * p.z, p.y, s * p.x + c * p.z); } fn opRotateZ(p: vec3f, a: f32) -> vec3f { let s = sin(a); let c = cos(a); return vec3f(c * p.x + s * p.y, -s * p.x + c * p.y, p.z); } //let d = sdfPrimitive3d(opRotateY(p, a)); ``` <img src="https://habrastorage.org/webt/7h/he/pa/7hhepatlqmihfu7qy8xzkcx5udm.jpeg" width="150px"/> #### Rotation around free axis - exact ```rs fn opRotateE(p: vec3f, e: vec3f, a: f32) -> vec3f { let c = cos(a); return dot(e, p) * (1. - c) * e - cross(e, p) * sin(a) + c * p; } //let d = sdfPrimitive3d(opRotateE(p, normalize(vec3f(1.,0.,.5)), a)); ``` <img src="https://habrastorage.org/webt/dj/ho/sc/djhoscnd2urd2envmjtplgdna7k.jpeg" width="150px"/> #### Scale - exact ```rs fn opScale(p: vec3f, s: f32) -> vec3f { return p / s; } //let d = sdfPrimitive3d(opScale(p, s)) * s; @@ -593,8 +591,8 @@ fn opScale(p: vec3<f32>, s: f32) -> vec3<f32> { #### Free transformation - exact ```rs fn opTransform(p: vec3f, transform: mat4x4<f32>) -> vec3f { let q = inverse(transform) * vec4f(p, 1.); } //let d = sdfPrimitive3d(opTransform(p, transform)) * determinant(transform); @@ -605,18 +603,18 @@ fn opTransform(p: vec3<f32>, transform: mat4x4<f32>) -> vec3<f32> { #### Symmetry - exact ```rs fn opSymmetryX(p: vec3f) -> vec3f { return vec3f(abs(p.x), p.y, p.z); } fn opSymmetryY(p: vec3f) -> vec3f { return vec3f(p.x, abs(p.y), p.z); } fn opSymmetryZ(p: vec3f) -> vec3f { return vec3f(p.x, p.y, abs(p.z)); } //let d = sdfPrimitive3d(opSymmetryX(p)); ``` <img src="https://habrastorage.org/webt/fp/13/-t/fp13-tocnb3scya_3g_jx7h1s5w.jpeg" width="150px"/> #### Infinite Repetition - exact ```rs fn opInfArray(p: vec3f, c: vec3f) -> vec3f { return p - c * round(p / c); } //let d = sdfPrimitive3d(opInfArray(p, c)); @@ -625,7 +623,7 @@ fn opInfArray(p: vec3<f32>, c: vec3<f32>) -> vec3<f32> { #### Finite Repetition - exact ```rs fn opLimArray(p: vec3f, c: f32, lim: vec3f) -> vec3f { return p - c * clamp(round(p / c), -lim, lim); } //let d = sdfPrimitive3d(opLimArray(p, c)); @@ -636,15 +634,15 @@ fn opLimArray(p: vec3<f32>, c: f32, lim: vec3<f32>) -> vec3<f32> { #### Elongation - exact ```rs fn opElongate(p: vec3f, h: vec3f) -> vec3f { return p - clamp(p, -h, h); } //let d = sdfPrimitive3d(opElongateFast(p, h)); fn opElongateCorrect(p: vec3f, h: vec3f) -> vec4f { let q = abs(p) - h; let sgn = 2. * step(vec3f(0.), p) - vec3f(1.); return vec4f(sgn * max(q, vec3f(0.)), min(max(q.x, max(q.y, q.z)), 0.)); } //let p2 = opElongateCorrect(p, h); //let d = p2.w + sdfPrimitive3d(p2.xyz); @@ -653,7 +651,7 @@ fn opElongateCorrect(p: vec3<f32>, h: vec3<f32>) -> vec4<f32> { #### Rounding - exact ```rs fn opRound(p: vec3f, r: f32) -> f32 { return sdfPrimitive3d(p) - r; } ``` @@ -671,38 +669,38 @@ fn opOnion(d: f32, thickness: f32) -> f32 { #### Extrusion from 2D SDF - exact ```rs fn opExtrusion(d: f32, z: f32, h: f32) -> f32 { let w = vec2f(d, abs(z) - h); return min(max(w.x, w.y), 0.) + length(max(w, vec2f(0.))); } //let d = opExtrusion(sdfPrimitive2d(p.xy), p.z, h)); ``` <img src="https://habrastorage.org/webt/u_/zq/pm/u_zqpmkpzepemz5fthwhx4f0zy8.jpeg" width="150px"/> #### Revolution from 2D SDF - exact ```rs fn opRevolution(p: vec3f, o: f32) -> vec2f { return vec2f(length(p.xz) - o, p.y); } //let d = sdfPrimitive2d(opRevolution(p, h)); ``` <img src="https://habrastorage.org/webt/qd/bn/kw/qdbnkwkkjuqqemdqm-knf5ov53c.jpeg" width="150px"/> #### Change metric - bound ```rs fn length4(p: vec3f) -> f32 { var q: vec3f = p * p; q = q * q; return sqrt(sqrt(q.x + q.y + q.z)); } fn length6(p: vec3f) -> f32 { var q: vec3f = p * p * p; q = q * q; return pow(q.x + q.y + q.z, 1. / 6.); } fn length8(p: vec3f) -> f32 { var q: vec3f = p * p; q = q * q; q = q * q; return pow(q.x + q.y + q.z, 1. / 8.); } -
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -1,4 +1,4 @@ # WGSL 3D SDF Primitives #### How to use this gist: 1. Build a sphere tracer with WebGPU ([paper](https://www.researchgate.net/publication/2792108_Sphere_Tracing_A_Geometric_Method_for_the_Antialiased_Ray_Tracing_of_Implicit_Surfaces), [paper2](https://www.semanticscholar.org/paper/Enhanced-Sphere-Tracing-Keinert-Sch%C3%A4fer/4c9bd91bd044980f5746d623315be5285cc799c9), [youtube](https://www.youtube.com/watch?v=PGtv-dBi2wE)) -
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -542,7 +542,6 @@ fn op90RotateX(p: vec3<f32>) -> vec3<f32> { } fn op90RotateY(p: vec3<f32>) -> vec3<f32> { return vec3<f32>(-p.z, p.y, p.x); } -
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -9,7 +9,7 @@ This code tested in Chrome and Firefox, should work on PC too. Function `select` can work differently in browsers. # Primitives @@ -618,7 +618,7 @@ fn opSymmetryZ(p: vec3<f32>) -> vec3<f32> { return vec3<f32>(p.x, p.y, abs(p.z)) #### Infinite Repetition - exact ```rs fn opInfArray(p: vec3<f32>, c: vec3<f32>) -> vec3<f32> { return p - c * round(p / c); } //let d = sdfPrimitive3d(opInfArray(p, c)); ``` @@ -710,4 +710,4 @@ fn length8(p: vec3<f32>) -> f32 { ``` <img src="https://habrastorage.org/webt/uw/dm/oz/uwdmozwn25o_dpcdlsrdb-ppevm.jpeg" width="150px"/> MIT License. © 2020 Inigo Quilez, Johann Korndörfer, Martijn Steinrucken, Munrocket -
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -8,7 +8,8 @@ 5. PROFIT This code tested in Chrome and Firefox, should work on PC too. Functions `select` and `%` can work differently in browsers. # Primitives -
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -7,7 +7,8 @@ 4. ??? 5. PROFIT This code tested in Chrome and Firefox, should work on PC too. WGSL is not stable functions `select` and `%` can works differently in browsers. # Primitives @@ -708,4 +709,4 @@ fn length8(p: vec3<f32>) -> f32 { ``` <img src="https://habrastorage.org/webt/uw/dm/oz/uwdmozwn25o_dpcdlsrdb-ppevm.jpeg" width="150px"/> MIT License. © 2020 Munrocket, Inigo Quilez, Johann Korndörfer, Martijn Steinrucken -
munrocket revised this gist
Aug 2, 2021 . 1 changed file with 40 additions and 0 deletions.There are no files selected for viewing
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -400,6 +400,46 @@ fn sdBezier(p: vec3<f32>, A: vec3<f32>, B: vec3<f32>, C: vec3<f32>) -> vec2<f32> ``` <img src="https://habrastorage.org/webt/ad/9t/cu/ad9tcutikuqz9yxdrpdquugqkrs.jpeg" width="150px"> #### Triangle - exact ```rs fn udTriangle(p: vec3<f32>, a: vec3<f32>, b: vec3<f32>, c: vec3<f32>) -> f32 { let ba = b - a; let pa = p - a; let cb = c - b; let pb = p - b; let ac = a - c; let pc = p - c; let nor = cross(ba, ac); let d1 = ba * clamp(dot(ba, pa) / dot(ba, ba), 0., 1.) - pa; let d2 = cb * clamp(dot(cb, pb) / dot(cb, cb), 0., 1.) - pb; let d3 = ac * clamp(dot(ac, pc) / dot(ac, ac), 0., 1.) - pc; let k0 = min(min(dot(d1, d1), dot(d2, d2)), dot(d3, d3)); let k1 = dot(nor, pa) * dot(nor, pa) / dot(nor, nor); let t = sign(dot(cross(ba, nor), pa)) + sign(dot(cross(cb, nor), pb)) + sign(dot(cross(ac, nor), pc)); return sqrt(select(k0, k1, t < 2.)); } ``` <img src="https://habrastorage.org/webt/jk/cc/eo/jkcceovnen8mfbwdzyu9gpxcxhi.jpeg" width="150px"> #### Quad - exact ```rs fn udQuad(p: vec3<f32>, a: vec3<f32>, b: vec3<f32>, c: vec3<f32>, d: vec3<f32>) -> f32 { let ba = b - a; let pa = p - a; let cb = c - b; let pb = p - b; let dc = d - c; let pc = p - c; let ad = a - d; let pd = p - d; let nor = cross(ba, ad); let d1 = ba * clamp(dot(ba, pa) / dot(ba, ba), 0., 1.) - pa; let d2 = cb * clamp(dot(cb, pb) / dot(cb, cb), 0., 1.) - pb; let d3 = dc * clamp(dot(dc, pc) / dot(dc, dc), 0., 1.) - pc; let d4 = ad * clamp(dot(ad, pd) / dot(ad, ad), 0., 1.) - pd; let k0 = min(min(dot(d1, d1), dot(d2, d2)), min(dot(d3, d3), dot(d4, d4))); let k1 = dot(nor, pa) * dot(nor, pa) / dot(nor, nor); let t = sign(dot(cross(ba, nor), pa)) + sign(dot(cross(cb, nor), pb)) + sign(dot(cross(dc, nor), pc)) + sign(dot(cross(ad, nor), pd)); return sqrt(select(k0, k1, t < 3.)); } ``` <img src="https://habrastorage.org/webt/fv/nu/yc/fvnuycg5uvk6bvjthgo8en0_7su.jpeg" width="150px"> # Boolean operations with primitives #### Union, Subtraction, Intersection - exact (outside), bound, bound -
munrocket revised this gist
Jul 28, 2021 . 1 changed file with 2 additions and 6 deletions.There are no files selected for viewing
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -566,13 +566,9 @@ fn opTransform(p: vec3<f32>, transform: mat4x4<f32>) -> vec3<f32> { ```rs fn opSymmetryX(p: vec3<f32>) -> vec3<f32> { return vec3<f32>(abs(p.x), p.y, p.z); } fn opSymmetryY(p: vec3<f32>) -> vec3<f32> { return vec3<f32>(p.x, abs(p.y), p.z); } fn opSymmetryZ(p: vec3<f32>) -> vec3<f32> { return vec3<f32>(p.x, p.y, abs(p.z)); } //let d = sdfPrimitive3d(opSymmetryX(p)); ``` <img src="https://habrastorage.org/webt/fp/13/-t/fp13-tocnb3scya_3g_jx7h1s5w.jpeg" width="150px"/> -
munrocket revised this gist
Jul 22, 2021 . 1 changed file with 7 additions and 7 deletions.There are no files selected for viewing
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -217,7 +217,7 @@ fn sdCappedCone(p: vec3<f32>, a: vec3<f32>, b: vec3<f32>, ra: f32, rb: f32) -> f let papa = dot(p - a, p - a); let paba = dot(p - a, b - a) / baba; let x = sqrt(papa - paba * paba * baba); let cax = max(0.0, x - select(rb, ra, paba < 0.5)); let cay = abs(paba - 0.5) - 0.5; let k = rba * rba + baba; let f = clamp((rba * (x - ra) + paba * baba) / k, 0.0, 1.0); @@ -378,20 +378,20 @@ fn sdBezier(p: vec3<f32>, A: vec3<f32>, B: vec3<f32>, C: vec3<f32>) -> vec2<f32> let x = (vec2<f32>(h, -h) - q) / 2.; let uv = sign(x) * pow(abs(x), vec2<f32>(1. / 3.)); let t = clamp(uv.x + uv.y - kx, 0., 1.); let f = d + (c + b * t) * t; res = vec2<f32>(dot(f, f), t); } else { let z = sqrt(-p1); let v = acos(q / (p1 * z * 2.)) / 3.; let m = cos(v); let n = sin(v) * 1.732050808; let t = clamp(vec2<f32>(m + m, -n - m) * z - kx, vec2<f32>(0.0), vec2<f32>(1.0)); let f = d + (c + b * t.x) * t.x; var dis: f32 = dot(f, f); res = vec2<f32>(dis, t.x); let g = d + (c + b * t.y) * t.y; dis = dot(g, g); res = select(res, vec2<f32>(dis, t.y), dis < res.x); } res.x = sqrt(res.x); -
munrocket revised this gist
Jul 22, 2021 . 1 changed file with 8 additions and 8 deletions.There are no files selected for viewing
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -81,7 +81,7 @@ fn sdTorus(p: vec3<f32>, R: f32, r: f32) -> f32 { ```rs fn sdCappedTorus(p: vec3<f32>, R: f32, r: f32, sincos: vec2<f32>) -> f32 { let q = vec3<f32>(abs(p.x), p.y, p.z); let k = select(length(q.xy), dot(q.xy, sincos), sincos.y * q.x > sincos.x * q.y); return sqrt(dot(q, q) + R * R - 2. * R * k) - r; } ``` @@ -128,7 +128,7 @@ fn sdCylinder(p: vec3<f32>, a: vec3<f32>, b: vec3<f32>, r: f32) -> f32 { let x2 = x * x; let y2 = y * y * baba; let d = x2 * step(0., x) + y2 * step(0., y); let d2 = select(d, -min(x2, y2), max(x, y) < 0.); return sign(d2) * sqrt(abs(d2)) / baba; } ``` @@ -190,7 +190,7 @@ fn sdConeBound(p: vec3<f32>, h: f32, sincos: vec2<f32>) -> f32 { fn sdInfiniteCone(p: vec3<f32>, sincos: vec2<f32>) -> f32 { let q = vec2<f32>(length(p.xz), -p.y); let d = length(q - sincos * max(dot(q, sincos), 0.)); return d * select(-1., 1., q.x * sincos.y - q.y * sincos.x > 0.0); } ``` <img src="https://habrastorage.org/webt/39/j5/fs/39j5fsjq-6onu2lxbwtakun5g1k.jpeg" width="150px"> @@ -201,9 +201,9 @@ fn sdCappedVerticalCone(p: vec3<f32>, h: f32, r1: f32, r2: f32) -> f32 { let q = vec2<f32>(length(p.xz), p.y); let k1 = vec2<f32>(r2, h); let k2 = vec2<f32>(r2 - r1, 2. * h); let ca = vec2<f32>(q.x - min(q.x, select(r2, r1, q.y < 0.)), abs(q.y) - h); let cb = q - k1 + k2 * clamp(dot(k1 - q, k2) / dot(k2, k2), 0., 1.); let s = select(1., -1., cb.x < 0. && ca.y < 0.); return s * sqrt(min(dot(ca, ca), dot(cb, cb))); } ``` @@ -223,7 +223,7 @@ fn sdCappedCone(p: vec3<f32>, a: vec3<f32>, b: vec3<f32>, ra: f32, rb: f32) -> f let f = clamp((rba * (x - ra) + paba * baba) / k, 0.0, 1.0); let cbx = x - ra - f * rba; let cby = paba - f; let s = select(1., -1., cbx < 0.0 && cay < 0.0); return s * sqrt(min(cax * cax + cay * cay * baba, cbx * cbx + cby * cby * baba)); } ``` @@ -317,7 +317,7 @@ fn sdOctahedronBound(p: vec3<f32>, s: f32) -> f32 { fn sdPyramid(p: vec3<f32>, h: f32) -> f32 { let m2 = h * h + 0.25; var xz: vec2<f32> = abs(p.xz); xz = select(xz, xz.yx, xz[1] > xz[0]); xz = xz - vec2<f32>(0.5); let q = vec3<f32>(xz[1], h * p.y - 0.5 * xz[0], h * xz[0] + 0.5 * p.y); @@ -392,7 +392,7 @@ fn sdBezier(p: vec3<f32>, A: vec3<f32>, B: vec3<f32>, C: vec3<f32>) -> vec2<f32> let w = d + (c + b * t.y) * t.y; dis = dot(w, w); res = select(res, vec2<f32>(dis, t.y), dis < res.x); } res.x = sqrt(res.x); return res; -
munrocket revised this gist
Jul 21, 2021 . 1 changed file with 2 additions and 2 deletions.There are no files selected for viewing
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -380,7 +380,7 @@ fn sdBezier(p: vec3<f32>, A: vec3<f32>, B: vec3<f32>, C: vec3<f32>) -> vec2<f32> let t = clamp(uv.x + uv.y - kx, 0., 1.); let w = d + (c + b * t) * t; res = vec2<f32>(dot(w, w), t); } else { let z = sqrt(-p1); let v = acos(q / (p1 * z * 2.)) / 3.; let m = cos(v); @@ -392,7 +392,7 @@ fn sdBezier(p: vec3<f32>, A: vec3<f32>, B: vec3<f32>, C: vec3<f32>) -> vec2<f32> let w = d + (c + b * t.y) * t.y; dis = dot(w, w); res = select(vec2<f32>(dis, t.y), res, dis < res.x); } res.x = sqrt(res.x); return res; -
munrocket revised this gist
Jul 21, 2021 . 1 changed file with 45 additions and 0 deletions.There are no files selected for viewing
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -355,6 +355,51 @@ fn sdTriPrism(p: vec3<f32>, h: vec2<f32>) -> f32 { ``` <img src="https://habrastorage.org/webt/zc/2k/2s/zc2k2sm4cudwfsghvk7ibkdztcc.jpeg" width="150px"> #### Quadratic Bezier - exact ```rs fn sdBezier(p: vec3<f32>, A: vec3<f32>, B: vec3<f32>, C: vec3<f32>) -> vec2<f32> { let a = B - A; let b = A - 2. * B + C; let c = a * 2.; let d = A - p; let kk = 1. / dot(b, b); let kx = kk * dot(a, b); let ky = kk * (2. * dot(a, a) + dot(d, b)) / 3.; let kz = kk * dot(d, a); let p1 = ky - kx * kx; let p3 = p1 * p1 * p1; let q = kx * (2.0 * kx * kx - 3.0 * ky) + kz; var h: f32 = q * q + 4. * p3; var res: vec2<f32>; if (h >= 0.) { h = sqrt(h); let x = (vec2<f32>(h, -h) - q) / 2.; let uv = sign(x) * pow(abs(x), vec2<f32>(1. / 3.)); let t = clamp(uv.x + uv.y - kx, 0., 1.); let w = d + (c + b * t) * t; res = vec2<f32>(dot(w, w), t); } else{ let z = sqrt(-p1); let v = acos(q / (p1 * z * 2.)) / 3.; let m = cos(v); let n = sin(v) * 1.732050808; let t = clamp(vec2<f32>(m + m, -n - m) * z - kx, vec2<f32>(0.0), vec2<f32>(1.0)); let v = d + (c + b * t.x) * t.x; var dis: f32 = dot(v, v); res = vec2<f32>(dis, t.x); let w = d + (c + b * t.y) * t.y; dis = dot(w, w); if (dis < res.x) { res = vec2<f32>(dis, t.y); } } res.x = sqrt(res.x); return res; } ``` <img src="https://habrastorage.org/webt/ad/9t/cu/ad9tcutikuqz9yxdrpdquugqkrs.jpeg" width="150px"> # Boolean operations with primitives #### Union, Subtraction, Intersection - exact (outside), bound, bound -
munrocket revised this gist
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -355,66 +355,6 @@ fn sdTriPrism(p: vec3<f32>, h: vec2<f32>) -> f32 { ``` <img src="https://habrastorage.org/webt/zc/2k/2s/zc2k2sm4cudwfsghvk7ibkdztcc.jpeg" width="150px"> # Boolean operations with primitives #### Union, Subtraction, Intersection - exact (outside), bound, bound -
munrocket revised this gist
Jul 21, 2021 . 1 changed file with 38 additions and 39 deletions.There are no files selected for viewing
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -357,58 +357,57 @@ fn sdTriPrism(p: vec3<f32>, h: vec2<f32>) -> f32 { #### Bunny - bound ```rs fn m4(a1: f32, a2: f32, a3: f32, a4: f32, b1: f32, b2: f32, b3: f32, b4: f32, c1: f32, c2: f32, c3: f32, c4: f32, d1: f32, d2: f32, d3: f32, d4: f32) -> mat4x4<f32> { return mat4x4<f32>(vec4<f32>(a1, a2, a3, a4), vec4<f32>(b1, b2, b3, b4), vec4<f32>(c1, c2, c3, c4), vec4<f32>(d1, d2, d3, d4)); } fn bunny(p: vec3<f32>) -> f32 { if (dot(p, p) > 1.) { return length(p) - .8; } let q = vec4<f32>(p, 1.); let f00=sin(m4(-3.02,1.95,-3.42,-.6,3.08,.85,-2.25,-.24,-.29,1.16,-3.74,2.89,-.71,4.5,-3.24,-3.5)*q); let f01=sin(m4(-.4,-3.61,3.23,-.14,-.36,3.64,-3.91,2.66,2.9,-.54,-2.75,2.71,7.02,-5.41,-1.12,-7.41)*q); let f02=sin(m4(1.77,1.28,4.29,3.2,3.49,2.81,.64,-2.79,-3.15,-2.14,3.85,-1.83,2.07,-4.49,-5.33,2.17)*-q); let f03=sin(m4(-.49,.68,3.05,.42,-2.87,.78,3.78,-3.41,-2.65,.33,.07,-.64,-3.24,-5.9,1.14,-4.71)*q); let f10=sin(m4(-.34,.06,-.59,-.76,.1,-.19,-.12,.44,.64,-.02,-.26,.15,-.16,.21,.91,.15)*f00+ m4(.01,.54,-.77,.11,.06,-.14,.43,.51,-.18,.08,.39,.2,.33,-.49,-.1,.19)*f01+ m4(.27,.22,.43,.53,.18,-.17,.23,-.64,-.14,.02,-.1,.16,-.13,-.06,-.04,-.36)*f02+ m4(-.13,.29,-.29,.08,1.13,.02,-.83,.32,-.32,.04,-.31,-.16,.14,-.03,-.2,.39)*f03+ vec4<f32>(.73,-4.28,-1.56,-1.8))+f00; let f11=sin(m4(-1.11,.55,-.12,-1.00,.16,.15,-.3,.31,-.01,.01,.31,-.42,-.29,.38,-.04,.71)*f00+ m4(.96,-.02,.86,.52,-.14,.6,.44,.43,.02,-.15,-.49,-.05,-.06,-.25,-.03,-.22)*f01+ m4(.52,.44,-.05,-.11,-.56,-.1,-.61,-.4,-.04,.55,.32,-.07,-.02,.28,.26,-.49)*f02+ m4(.02,-.32,.06,-.17,-.59,.00,-.24,.6,-.06,.13,-.21,-.27,-.12,-.14,.58,-.55)*f03+ vec4<f32>(-2.24,-3.48,-.8,1.41))+f01; let f12=sin(m4(.44,-.06,-.79,-.46,.05,-.6,.3,.36,.35,.12,.02,.12,.4,-.26,.63,-.21)*f00+ m4(-.48,.43,-.73,-.4,.11,-.01,.71,.05,-.25,.25,-.28,-.2,.32,-.02,-.84,.16)*f01+ m4(.39,-.07,.9,.36,-.38,-.27,-1.86,-.39,.48,-.2,-.05,.1,-.00,-.21,.29,.63)*f02+ m4(.46,-.32,.06,.09,.72,-.47,.81,.78,.9,.02,-.21,.08,-.16,.22,.32,-.13)*f03+ vec4<f32>(3.38,1.2,.84,1.41))+f02; let f13=sin(m4(-.41,-.24,-.71,-.25,-.24,-.75,-.09,.02,-.27,-.42,.02,.03,-.01,.51,-.12,-1.24)*f00+ m4(.64,.31,-1.36,.61,-.34,.11,.14,.79,.22,-.16,-.29,-.70,.02,-.37,.49,.39)*f01+ m4(.79,.47,.54,-.47,-1.13,-.35,-1.03,-.22,-.67,-.26,.1,.21,-.07,-.73,-.11,.72)*f02+ m4(.43,-.23,.13,.09,1.38,-.63,1.57,-.2,.39,-.14,.42,.13,-.57,-.08,-.21,.21)*f03+ vec4<f32>(-.34,-3.28,.43,-.52))+f03; let f20=sin(m4(-.72,.23,-.89,.52,.38,.19,-.16,-.88,.26,-.37,.09,.63,.29,-.72,.3,-.95)*f10+ m4(-.22,-.51,-.42,-.73,-.32,.00,-1.03,1.17,-.2,-.03,-.13,-.16,-.41,.09,.36,-.84)*f11+ m4(-.21,.01,.33,.47,.05,.2,-.44,-1.04,.13,.12,-.13,.31,.01,-.34,.41,-.34)*f12+ m4(-.13,-.06,-.39,-.22,.48,.25,.24,-.97,-.34,.14,.42,-.00,-.44,.05,.09,-.95)*f13+ vec4<f32>(.48,.87,-.87,-2.06))/1.4+f10; let f21=sin(m4(-.27,.29,-.21,.15,.34,-.23,.85,-.09,-1.15,-.24,-.05,-.25,-.12,-.73,-.17,-.37)*f10+ m4(-1.11,.35,-.93,-.06,-.79,-.03,-.46,-.37,.6,-.37,-.14,.45,-.03,-.21,.02,.59)*f11+ m4(-.92,-.17,-.58,-.18,.58,.6,.83,-1.04,-.8,-.16,.23,-.11,.08,.16,.76,.61)*f12+ m4(.29,.45,.3,.39,-.91,.66,-.35,-.35,.21,.16,-.54,-.63,1.1,-.38,.2,.15)*f13+ vec4<f32>(-1.72,-.14,1.92,2.08))/1.4+f11; let f22=sin(m4(1.00,.66,1.3,-.51,.88,.25,-.67,.03,-.68,-.08,-.12,-.14,.46,1.15,.38,-.1)*f10+ m4(.51,-.57,.41,-.09,.68,-.5,-.04,-1.01,.2,.44,-.6,.46,-.09,-.37,-1.3,.04)*f11+ m4(.14,.29,-.45,-.06,-.65,.33,-.37,-.95,.71,-.07,1.00,-.6,-1.68,-.2,-.00,-.7)*f12+ m4(-.31,.69,.56,.13,.95,.36,.56,.59,-.63,.52,-.3,.17,1.23,.72,.95,.75)*f13+ vec4<f32>(-.9,-3.26,-.44,-3.11))/1.4+f12; let f23=sin(m4(.51,-.98,-.28,.16,-.22,-.17,-1.03,.22,.7,-.15,.12,.43,.78,.67,-.85,-.25)*f10+ m4(.81,.6,-.89,.61,-1.03,-.33,.6,-.11,-.06,.01,-.02,-.44,.73,.69,1.02,.62)*f11+ m4(-.1,.52,.8,-.65,.4,-.75,.47,1.56,.03,.05,.08,.31,-.03,.22,-1.63,.07)*f12+ m4(-.18,-.07,-1.22,.48,-.01,.56,.07,.15,.24,.25,-.09,-.54,.23,-.08,.2,.36)*f13+ vec4<f32>(-1.11,-4.28,1.02,-.23))/1.4+f13; return dot(f20,vec4<f32>(.09,.12,-.07,-.03))+dot(f21,vec4<f32>(-.04,.07,-.08,.05))+ dot(f22,vec4<f32>(-.01,.06,-.02,.07))+dot(f23,vec4<f32>(-.05,.07,.03,.04))- 0.16; -
munrocket revised this gist
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -355,6 +355,67 @@ fn sdTriPrism(p: vec3<f32>, h: vec2<f32>) -> f32 { ``` <img src="https://habrastorage.org/webt/zc/2k/2s/zc2k2sm4cudwfsghvk7ibkdztcc.jpeg" width="150px"> #### Bunny - bound ```rs fn fmat4init(a1: f32, a2: f32, a3: f32, a4: f32, b1: f32, b2: f32, b3: f32, b4: f32, c1: f32, c2: f32, c3: f32, c4: f32, d1: f32, d2: f32, d3: f32, d4: f32) -> mat4x4<f32> { return mat4x4<f32>(vec4<f32>(a1, a2, a3, a4), vec4<f32>(b1, b2, b3, b4), vec4<f32>(c1, c2, c3, c4), vec4<f32>(d1, d2, d3, d4)); } fn bunny(p: vec3<f32>) -> f32 { if (dot(p, p) > 1.) { return length(p) - .8; } let q = vec4<f32>(p, 1.); let f00=sin(fmat4init(-3.02,1.95,-3.42,-.6,3.08,.85,-2.25,-.24,-.29,1.16,-3.74,2.89,-.71,4.5,-3.24,-3.5)*q); let f01=sin(fmat4init(-.4,-3.61,3.23,-.14,-.36,3.64,-3.91,2.66,2.9,-.54,-2.75,2.71,7.02,-5.41,-1.12,-7.41)*q); let f02=sin(fmat4init(-1.77,-1.28,-4.29,-3.2,-3.49,-2.81,-.64,2.79,3.15,2.14,-3.85,1.83,-2.07,4.49,5.33,-2.17)*q); let f03=sin(fmat4init(-.49,.68,3.05,.42,-2.87,.78,3.78,-3.41,-2.65,.33,.07,-.64,-3.24,-5.9,1.14,-4.71)*q); let f10=sin(fmat4init(-.34,.06,-.59,-.76,.1,-.19,-.12,.44,.64,-.02,-.26,.15,-.16,.21,.91,.15)*f00+ fmat4init(.01,.54,-.77,.11,.06,-.14,.43,.51,-.18,.08,.39,.2,.33,-.49,-.1,.19)*f01+ fmat4init(.27,.22,.43,.53,.18,-.17,.23,-.64,-.14,.02,-.1,.16,-.13,-.06,-.04,-.36)*f02+ fmat4init(-.13,.29,-.29,.08,1.13,.02,-.83,.32,-.32,.04,-.31,-.16,.14,-.03,-.2,.39)*f03+ vec4<f32>(.73,-4.28,-1.56,-1.8))+f00; let f11=sin(fmat4init(-1.11,.55,-.12,-1.00,.16,.15,-.3,.31,-.01,.01,.31,-.42,-.29,.38,-.04,.71)*f00+ fmat4init(.96,-.02,.86,.52,-.14,.6,.44,.43,.02,-.15,-.49,-.05,-.06,-.25,-.03,-.22)*f01+ fmat4init(.52,.44,-.05,-.11,-.56,-.1,-.61,-.4,-.04,.55,.32,-.07,-.02,.28,.26,-.49)*f02+ fmat4init(.02,-.32,.06,-.17,-.59,.00,-.24,.6,-.06,.13,-.21,-.27,-.12,-.14,.58,-.55)*f03+ vec4<f32>(-2.24,-3.48,-.8,1.41))+f01; let f12=sin(fmat4init(.44,-.06,-.79,-.46,.05,-.6,.3,.36,.35,.12,.02,.12,.4,-.26,.63,-.21)*f00+ fmat4init(-.48,.43,-.73,-.4,.11,-.01,.71,.05,-.25,.25,-.28,-.2,.32,-.02,-.84,.16)*f01+ fmat4init(.39,-.07,.9,.36,-.38,-.27,-1.86,-.39,.48,-.2,-.05,.1,-.00,-.21,.29,.63)*f02+ fmat4init(.46,-.32,.06,.09,.72,-.47,.81,.78,.9,.02,-.21,.08,-.16,.22,.32,-.13)*f03+ vec4<f32>(3.38,1.2,.84,1.41))+f02; let f13=sin(fmat4init(-.41,-.24,-.71,-.25,-.24,-.75,-.09,.02,-.27,-.42,.02,.03,-.01,.51,-.12,-1.24)*f00+ fmat4init(.64,.31,-1.36,.61,-.34,.11,.14,.79,.22,-.16,-.29,-.70,.02,-.37,.49,.39)*f01+ fmat4init(.79,.47,.54,-.47,-1.13,-.35,-1.03,-.22,-.67,-.26,.1,.21,-.07,-.73,-.11,.72)*f02+ fmat4init(.43,-.23,.13,.09,1.38,-.63,1.57,-.2,.39,-.14,.42,.13,-.57,-.08,-.21,.21)*f03+ vec4<f32>(-.34,-3.28,.43,-.52))+f03; let f20=sin(fmat4init(-.72,.23,-.89,.52,.38,.19,-.16,-.88,.26,-.37,.09,.63,.29,-.72,.3,-.95)*f10+ fmat4init(-.22,-.51,-.42,-.73,-.32,.00,-1.03,1.17,-.2,-.03,-.13,-.16,-.41,.09,.36,-.84)*f11+ fmat4init(-.21,.01,.33,.47,.05,.2,-.44,-1.04,.13,.12,-.13,.31,.01,-.34,.41,-.34)*f12+ fmat4init(-.13,-.06,-.39,-.22,.48,.25,.24,-.97,-.34,.14,.42,-.00,-.44,.05,.09,-.95)*f13+ vec4<f32>(.48,.87,-.87,-2.06))/1.4+f10; let f21=sin(fmat4init(-.27,.29,-.21,.15,.34,-.23,.85,-.09,-1.15,-.24,-.05,-.25,-.12,-.73,-.17,-.37)*f10+ fmat4init(-1.11,.35,-.93,-.06,-.79,-.03,-.46,-.37,.6,-.37,-.14,.45,-.03,-.21,.02,.59)*f11+ fmat4init(-.92,-.17,-.58,-.18,.58,.6,.83,-1.04,-.8,-.16,.23,-.11,.08,.16,.76,.61)*f12+ fmat4init(.29,.45,.3,.39,-.91,.66,-.35,-.35,.21,.16,-.54,-.63,1.1,-.38,.2,.15)*f13+ vec4<f32>(-1.72,-.14,1.92,2.08))/1.4+f11; let f22=sin(fmat4init(1.00,.66,1.3,-.51,.88,.25,-.67,.03,-.68,-.08,-.12,-.14,.46,1.15,.38,-.1)*f10+ fmat4init(.51,-.57,.41,-.09,.68,-.5,-.04,-1.01,.2,.44,-.6,.46,-.09,-.37,-1.3,.04)*f11+ fmat4init(.14,.29,-.45,-.06,-.65,.33,-.37,-.95,.71,-.07,1.00,-.6,-1.68,-.2,-.00,-.7)*f12+ fmat4init(-.31,.69,.56,.13,.95,.36,.56,.59,-.63,.52,-.3,.17,1.23,.72,.95,.75)*f13+ vec4<f32>(-.9,-3.26,-.44,-3.11))/1.4+f12; let f23=sin(fmat4init(.51,-.98,-.28,.16,-.22,-.17,-1.03,.22,.7,-.15,.12,.43,.78,.67,-.85,-.25)*f10+ fmat4init(.81,.6,-.89,.61,-1.03,-.33,.6,-.11,-.06,.01,-.02,-.44,.73,.69,1.02,.62)*f11+ fmat4init(-.1,.52,.8,-.65,.4,-.75,.47,1.56,.03,.05,.08,.31,-.03,.22,-1.63,.07)*f12+ fmat4init(-.18,-.07,-1.22,.48,-.01,.56,.07,.15,.24,.25,-.09,-.54,.23,-.08,.2,.36)*f13+ vec4<f32>(-1.11,-4.28,1.02,-.23))/1.4+f13; return dot(f20,vec4<f32>(.09,.12,-.07,-.03))+dot(f21,vec4<f32>(-.04,.07,-.08,.05))+ dot(f22,vec4<f32>(-.01,.06,-.02,.07))+dot(f23,vec4<f32>(-.05,.07,.03,.04))- 0.16; } ``` <img src="https://habrastorage.org/webt/4c/kf/dw/4ckfdwujkpobfo27nn63mkwaw-4.jpeg" width="150px"> # Boolean operations with primitives #### Union, Subtraction, Intersection - exact (outside), bound, bound -
munrocket revised this gist
Jul 21, 2021 . 1 changed file with 1 addition and 0 deletions.There are no files selected for viewing
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -625,5 +625,6 @@ fn length8(p: vec3<f32>) -> f32 { return pow(q.x + q.y + q.z, 1. / 8.); } ``` <img src="https://habrastorage.org/webt/uw/dm/oz/uwdmozwn25o_dpcdlsrdb-ppevm.jpeg" width="150px"/> MIT License. © 2020 Munrocket, Inigo Quilez, Johann Korndörfer, Martijn Steinrucken, Blackle Mori -
munrocket revised this gist
Jul 19, 2021 . 1 changed file with 4 additions and 2 deletions.There are no files selected for viewing
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -1,7 +1,7 @@ # 3D SDF Primitives in WGSL #### How to use this gist: 1. Build a sphere tracer with WebGPU ([paper](https://www.researchgate.net/publication/2792108_Sphere_Tracing_A_Geometric_Method_for_the_Antialiased_Ray_Tracing_of_Implicit_Surfaces), [paper2](https://www.semanticscholar.org/paper/Enhanced-Sphere-Tracing-Keinert-Sch%C3%A4fer/4c9bd91bd044980f5746d623315be5285cc799c9), [youtube](https://www.youtube.com/watch?v=PGtv-dBi2wE)) 2. Create model with sdf functions from here 3. Add light and shadows 4. ??? @@ -624,4 +624,6 @@ fn length8(p: vec3<f32>) -> f32 { q = q * q; q = q * q; return pow(q.x + q.y + q.z, 1. / 8.); } ``` MIT License. © 2020 Munrocket, Inigo Quilez, Johann Korndörfer, Martijn Steinrucken, Blackle Mori -
munrocket revised this gist
Jul 19, 2021 . 1 changed file with 1 addition and 1 deletion.There are no files selected for viewing
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -66,7 +66,7 @@ fn sdGyroid(p: vec3<f32>, h: f32) -> f32 { return abs(dot(sin(p), cos(p.zxy))) - h; } ``` <img src="https://habrastorage.org/webt/nu/mi/v9/numiv9d7cz6dfxrnkgripzbbai4.jpeg" width="150px"> #### Torus - exact ```rs -
munrocket revised this gist
Jul 19, 2021 . 1 changed file with 8 additions and 0 deletions.There are no files selected for viewing
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -60,6 +60,14 @@ fn sdBoxFrame(p: vec3<f32>, b: vec3<f32>, e: f32) -> f32 { ``` <img src="https://habrastorage.org/webt/tx/7v/gb/tx7vgburvrj0rlrgsgxea1c0dni.jpeg" width="150px"> #### Gyroid - bound ```rs fn sdGyroid(p: vec3<f32>, h: f32) -> f32 { return abs(dot(sin(p), cos(p.zxy))) - h; } ``` <img src="https://habrastorage.org/webt/q9/1v/ck/q91vckssijkyduknwph_sdg2upu.jpeg" width="150px"> #### Torus - exact ```rs fn sdTorus(p: vec3<f32>, R: f32, r: f32) -> f32 {
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