From 0bdd12598e22932d14fb71b16f9ad840d544d12d Mon Sep 17 00:00:00 2001 From: yum Date: Sat, 15 Mar 2025 20:02:27 -0700 Subject: begin sketching out harnack tracer --- 2ner.cginc | 35 +- 2ner.shader | 11 + Materials/Filament calibration/Mat00.mat | 600 ++++ Materials/Filament calibration/Mat00_Filament.mat | 146 + Materials/Filament calibration/Mat01.mat | 600 ++++ Materials/Filament calibration/Mat01_Filament.mat | 146 + Materials/Filament calibration/Mat02.mat | 600 ++++ Materials/Filament calibration/Mat02_Filament.mat | 146 + Materials/Filament calibration/Mat03.mat | 600 ++++ Materials/Filament calibration/Mat03_Filament.mat | 146 + Materials/Filament calibration/Mat04.mat | 595 ++++ Materials/Filament calibration/Mat04_Filament.mat | 146 + Materials/Filament calibration/Mat05.mat | 595 ++++ Materials/Filament calibration/Mat05_Filament.mat | 146 + Materials/Filament calibration/Mat06.mat | 595 ++++ Materials/Filament calibration/Mat06_Filament.mat | 146 + Materials/Filament calibration/Mat07.mat | 600 ++++ Materials/Filament calibration/Mat07_Filament.mat | 146 + Materials/Filament calibration/Mat08.mat | 600 ++++ Materials/Filament calibration/Mat08_Filament.mat | 147 + Materials/Filament calibration/Mat09.mat | 600 ++++ Materials/Filament calibration/Mat09_Filament.mat | 147 + Materials/Filament calibration/Mat10.mat | 600 ++++ Materials/Filament calibration/Mat10_Filament.mat | 147 + Materials/Filament calibration/Mat11.mat | 605 ++++ Materials/Filament calibration/Mat11_Filament.mat | 147 + Materials/Filament calibration/Mat12.mat | 601 ++++ Materials/Filament calibration/Mat13.mat | 601 ++++ Materials/Filament calibration/Mat14.mat | 601 ++++ Materials/Filament calibration/Mat15.mat | 601 ++++ Materials/Harnack.mat | 572 ++++ Materials/Mat00.mat | 600 ---- Materials/Mat00.mat.meta | 8 - Materials/Mat00_Filament.mat | 146 - Materials/Mat00_Filament.mat.meta | 8 - Materials/Mat01.mat | 600 ---- Materials/Mat01.mat.meta | 8 - Materials/Mat01_Filament.mat | 146 - Materials/Mat01_Filament.mat.meta | 8 - Materials/Mat02.mat | 600 ---- Materials/Mat02.mat.meta | 8 - Materials/Mat02_Filament.mat | 146 - Materials/Mat02_Filament.mat.meta | 8 - Materials/Mat03.mat | 600 ---- Materials/Mat03.mat.meta | 8 - Materials/Mat03_Filament.mat | 146 - Materials/Mat03_Filament.mat.meta | 8 - Materials/Mat04.mat | 595 ---- Materials/Mat04.mat.meta | 8 - Materials/Mat04_Filament.mat | 146 - Materials/Mat04_Filament.mat.meta | 8 - Materials/Mat05.mat | 595 ---- Materials/Mat05.mat.meta | 8 - Materials/Mat05_Filament.mat | 146 - Materials/Mat05_Filament.mat.meta | 8 - Materials/Mat06.mat | 595 ---- Materials/Mat06.mat.meta | 8 - Materials/Mat06_Filament.mat | 146 - Materials/Mat06_Filament.mat.meta | 8 - Materials/Mat07.mat | 600 ---- Materials/Mat07.mat.meta | 8 - Materials/Mat07_Filament.mat | 146 - Materials/Mat07_Filament.mat.meta | 8 - Scenes/Filament calibration.unity | 3729 +++++++++++++++++++++ Scenes/Harnack.unity | 574 ++++ Test scene.unity | 3729 --------------------- Textures/SSFD_2x2/Texture3DFromSequence.asset | 40 + Textures/SSFD_2x2/dots_L1-sdf.png | Bin 0 -> 5834 bytes Textures/SSFD_2x2/dots_L1.png | Bin 0 -> 437 bytes Textures/SSFD_2x2/dots_L2-sdf.png | Bin 0 -> 5701 bytes Textures/SSFD_2x2/dots_L2.png | Bin 0 -> 551 bytes Textures/SSFD_2x2/dots_L3-sdf.png | Bin 0 -> 6024 bytes Textures/SSFD_2x2/dots_L3.png | Bin 0 -> 515 bytes Textures/SSFD_2x2/dots_L4-sdf.png | Bin 0 -> 7523 bytes Textures/SSFD_2x2/dots_L4.png | Bin 0 -> 365 bytes Textures/SSFD_4x4/README.md | 4 + Textures/SSFD_4x4/Texture3DFromSequence.asset | 40 + Textures/SSFD_4x4/dots_L1-sdf.png | Bin 0 -> 5834 bytes Textures/SSFD_4x4/dots_L1.png | Bin 0 -> 437 bytes Textures/SSFD_4x4/dots_L10-sdf.png | Bin 0 -> 8027 bytes Textures/SSFD_4x4/dots_L10.png | Bin 0 -> 507 bytes Textures/SSFD_4x4/dots_L11-sdf.png | Bin 0 -> 8105 bytes Textures/SSFD_4x4/dots_L11.png | Bin 0 -> 488 bytes Textures/SSFD_4x4/dots_L12-sdf.png | Bin 0 -> 8110 bytes Textures/SSFD_4x4/dots_L12.png | Bin 0 -> 398 bytes Textures/SSFD_4x4/dots_L13-sdf.png | Bin 0 -> 8156 bytes Textures/SSFD_4x4/dots_L13.png | Bin 0 -> 445 bytes Textures/SSFD_4x4/dots_L14-sdf.png | Bin 0 -> 8234 bytes Textures/SSFD_4x4/dots_L14.png | Bin 0 -> 411 bytes Textures/SSFD_4x4/dots_L15-sdf.png | Bin 0 -> 8285 bytes Textures/SSFD_4x4/dots_L15.png | Bin 0 -> 339 bytes Textures/SSFD_4x4/dots_L16-sdf.png | Bin 0 -> 8159 bytes Textures/SSFD_4x4/dots_L16.png | Bin 0 -> 283 bytes Textures/SSFD_4x4/dots_L2-sdf.png | Bin 0 -> 5701 bytes Textures/SSFD_4x4/dots_L2.png | Bin 0 -> 551 bytes Textures/SSFD_4x4/dots_L3-sdf.png | Bin 0 -> 6024 bytes Textures/SSFD_4x4/dots_L3.png | Bin 0 -> 515 bytes Textures/SSFD_4x4/dots_L4-sdf.png | Bin 0 -> 7523 bytes Textures/SSFD_4x4/dots_L4.png | Bin 0 -> 365 bytes Textures/SSFD_4x4/dots_L5-sdf.png | Bin 0 -> 7499 bytes Textures/SSFD_4x4/dots_L5.png | Bin 0 -> 466 bytes Textures/SSFD_4x4/dots_L6-sdf.png | Bin 0 -> 7874 bytes Textures/SSFD_4x4/dots_L6.png | Bin 0 -> 524 bytes Textures/SSFD_4x4/dots_L7-sdf.png | Bin 0 -> 7788 bytes Textures/SSFD_4x4/dots_L7.png | Bin 0 -> 526 bytes Textures/SSFD_4x4/dots_L8-sdf.png | Bin 0 -> 7916 bytes Textures/SSFD_4x4/dots_L8.png | Bin 0 -> 453 bytes Textures/SSFD_4x4/dots_L9-sdf.png | Bin 0 -> 7793 bytes Textures/SSFD_4x4/dots_L9.png | Bin 0 -> 535 bytes Textures/black.png | Bin 0 -> 29897 bytes Textures/invisible.png | Bin 0 -> 1593 bytes Textures/white.png | Bin 0 -> 29897 bytes face_me.cginc | 2 + features.cginc | 5 + globals.cginc | 5 + harnack_tracing.cginc | 168 + 116 files changed, 16534 insertions(+), 9811 deletions(-) create mode 100644 Materials/Filament calibration/Mat00.mat create mode 100644 Materials/Filament calibration/Mat00_Filament.mat create mode 100644 Materials/Filament calibration/Mat01.mat create mode 100644 Materials/Filament calibration/Mat01_Filament.mat create mode 100644 Materials/Filament calibration/Mat02.mat create mode 100644 Materials/Filament calibration/Mat02_Filament.mat create mode 100644 Materials/Filament calibration/Mat03.mat create mode 100644 Materials/Filament calibration/Mat03_Filament.mat create mode 100644 Materials/Filament calibration/Mat04.mat create mode 100644 Materials/Filament calibration/Mat04_Filament.mat create mode 100644 Materials/Filament calibration/Mat05.mat create mode 100644 Materials/Filament calibration/Mat05_Filament.mat create mode 100644 Materials/Filament calibration/Mat06.mat create mode 100644 Materials/Filament calibration/Mat06_Filament.mat create mode 100644 Materials/Filament calibration/Mat07.mat create mode 100644 Materials/Filament calibration/Mat07_Filament.mat create mode 100644 Materials/Filament calibration/Mat08.mat create mode 100644 Materials/Filament calibration/Mat08_Filament.mat create mode 100644 Materials/Filament calibration/Mat09.mat create mode 100644 Materials/Filament calibration/Mat09_Filament.mat create mode 100644 Materials/Filament calibration/Mat10.mat create mode 100644 Materials/Filament calibration/Mat10_Filament.mat create mode 100644 Materials/Filament calibration/Mat11.mat create mode 100644 Materials/Filament calibration/Mat11_Filament.mat create mode 100644 Materials/Filament calibration/Mat12.mat create mode 100644 Materials/Filament calibration/Mat13.mat create mode 100644 Materials/Filament calibration/Mat14.mat create mode 100644 Materials/Filament calibration/Mat15.mat create mode 100644 Materials/Harnack.mat delete mode 100644 Materials/Mat00.mat delete mode 100644 Materials/Mat00.mat.meta delete mode 100644 Materials/Mat00_Filament.mat delete mode 100644 Materials/Mat00_Filament.mat.meta delete mode 100644 Materials/Mat01.mat delete mode 100644 Materials/Mat01.mat.meta delete mode 100644 Materials/Mat01_Filament.mat delete mode 100644 Materials/Mat01_Filament.mat.meta delete mode 100644 Materials/Mat02.mat delete mode 100644 Materials/Mat02.mat.meta delete mode 100644 Materials/Mat02_Filament.mat delete mode 100644 Materials/Mat02_Filament.mat.meta delete mode 100644 Materials/Mat03.mat delete mode 100644 Materials/Mat03.mat.meta delete mode 100644 Materials/Mat03_Filament.mat delete mode 100644 Materials/Mat03_Filament.mat.meta delete mode 100644 Materials/Mat04.mat delete mode 100644 Materials/Mat04.mat.meta delete mode 100644 Materials/Mat04_Filament.mat delete mode 100644 Materials/Mat04_Filament.mat.meta delete mode 100644 Materials/Mat05.mat delete mode 100644 Materials/Mat05.mat.meta delete mode 100644 Materials/Mat05_Filament.mat delete mode 100644 Materials/Mat05_Filament.mat.meta delete mode 100644 Materials/Mat06.mat delete mode 100644 Materials/Mat06.mat.meta delete mode 100644 Materials/Mat06_Filament.mat delete mode 100644 Materials/Mat06_Filament.mat.meta delete mode 100644 Materials/Mat07.mat delete mode 100644 Materials/Mat07.mat.meta delete mode 100644 Materials/Mat07_Filament.mat delete mode 100644 Materials/Mat07_Filament.mat.meta create mode 100644 Scenes/Filament calibration.unity create mode 100644 Scenes/Harnack.unity delete mode 100644 Test scene.unity create mode 100644 Textures/SSFD_2x2/Texture3DFromSequence.asset create mode 100644 Textures/SSFD_2x2/dots_L1-sdf.png create mode 100644 Textures/SSFD_2x2/dots_L1.png create mode 100644 Textures/SSFD_2x2/dots_L2-sdf.png create mode 100644 Textures/SSFD_2x2/dots_L2.png create mode 100644 Textures/SSFD_2x2/dots_L3-sdf.png create mode 100644 Textures/SSFD_2x2/dots_L3.png create mode 100644 Textures/SSFD_2x2/dots_L4-sdf.png create mode 100644 Textures/SSFD_2x2/dots_L4.png create mode 100644 Textures/SSFD_4x4/README.md create mode 100644 Textures/SSFD_4x4/Texture3DFromSequence.asset create mode 100644 Textures/SSFD_4x4/dots_L1-sdf.png create mode 100644 Textures/SSFD_4x4/dots_L1.png create mode 100644 Textures/SSFD_4x4/dots_L10-sdf.png create mode 100644 Textures/SSFD_4x4/dots_L10.png create mode 100644 Textures/SSFD_4x4/dots_L11-sdf.png create mode 100644 Textures/SSFD_4x4/dots_L11.png create mode 100644 Textures/SSFD_4x4/dots_L12-sdf.png create mode 100644 Textures/SSFD_4x4/dots_L12.png create mode 100644 Textures/SSFD_4x4/dots_L13-sdf.png create mode 100644 Textures/SSFD_4x4/dots_L13.png create mode 100644 Textures/SSFD_4x4/dots_L14-sdf.png create mode 100644 Textures/SSFD_4x4/dots_L14.png create mode 100644 Textures/SSFD_4x4/dots_L15-sdf.png create mode 100644 Textures/SSFD_4x4/dots_L15.png create mode 100644 Textures/SSFD_4x4/dots_L16-sdf.png create mode 100644 Textures/SSFD_4x4/dots_L16.png create mode 100644 Textures/SSFD_4x4/dots_L2-sdf.png create mode 100644 Textures/SSFD_4x4/dots_L2.png create mode 100644 Textures/SSFD_4x4/dots_L3-sdf.png create mode 100644 Textures/SSFD_4x4/dots_L3.png create mode 100644 Textures/SSFD_4x4/dots_L4-sdf.png create mode 100644 Textures/SSFD_4x4/dots_L4.png create mode 100644 Textures/SSFD_4x4/dots_L5-sdf.png create mode 100644 Textures/SSFD_4x4/dots_L5.png create mode 100644 Textures/SSFD_4x4/dots_L6-sdf.png create mode 100644 Textures/SSFD_4x4/dots_L6.png create mode 100644 Textures/SSFD_4x4/dots_L7-sdf.png create mode 100644 Textures/SSFD_4x4/dots_L7.png create mode 100644 Textures/SSFD_4x4/dots_L8-sdf.png create mode 100644 Textures/SSFD_4x4/dots_L8.png create mode 100644 Textures/SSFD_4x4/dots_L9-sdf.png create mode 100644 Textures/SSFD_4x4/dots_L9.png create mode 100644 Textures/black.png create mode 100644 Textures/invisible.png create mode 100644 Textures/white.png create mode 100644 harnack_tracing.cginc diff --git a/2ner.cginc b/2ner.cginc index 548ec87..1382903 100644 --- a/2ner.cginc +++ b/2ner.cginc @@ -8,6 +8,7 @@ #include "face_me.cginc" #include "features.cginc" #include "globals.cginc" +#include "harnack_tracing.cginc" #include "interpolators.cginc" #include "matcaps.cginc" #include "poi.cginc" @@ -141,7 +142,11 @@ v2f vert(appdata v) { return o; } -float4 frag(v2f i) : SV_Target { +float4 frag(v2f i +#if defined(_HARNACK_TRACING) + , out float depth : SV_DepthLessEqual +#endif +) : SV_Target { UNITY_APPLY_DITHER_CROSSFADE(i.pos.xy); UNITY_SETUP_INSTANCE_ID(i); UNITY_SETUP_STEREO_EYE_INDEX_POST_VERTEX(i); @@ -156,6 +161,15 @@ float4 frag(v2f i) : SV_Target { YumPbr pbr = GetYumPbr(i); +#if defined(_HARNACK_TRACING) + HarnackTracingOutput harnack_output = HarnackTracing(i); + pbr.albedo = float4(1, 1, 1, 0.2); + pbr.smoothness = 0.95; + pbr.roughness_perceptual = 0.05; + pbr.roughness = pbr.roughness_perceptual * pbr.roughness_perceptual; + pbr.metallic = 0; +#endif + #if defined(_SSFD) float ssfd_mask = ssfd(i.uv01.xy, _SSFD_Scale, _SSFD_Max_Fwidth, 0, _SSFD_Noise); pbr.albedo *= (ssfd_mask > _SSFD_Threshold); @@ -194,6 +208,25 @@ float4 frag(v2f i) : SV_Target { float4 lit = YumBRDF(i, l, pbr); +#if defined(_HARNACK_TRACING) + pbr.albedo = harnack_output.color; + pbr.smoothness = 0; + pbr.roughness = 1; + pbr.roughness_perceptual = 1; + pbr.metallic = 0; + pbr.normal = harnack_output.normal; + l.NoL = saturate(dot(pbr.normal, l.dir)); + l.NoL_wrapped_s = l.NoL; + l.NoL_wrapped_d = l.NoL; + float4 harnack_lit = YumBRDF(i, l, pbr); + //lit = alphaBlend(harnack_lit, lit); + lit = harnack_lit; + { + float4 clip_pos = mul(UNITY_MATRIX_VP, float4(harnack_output.worldPos, 1.0)); + depth = clip_pos.z / clip_pos.w; + } +#endif + #if defined(_EMISSION) || (defined(_GLITTER) && defined(FORWARD_BASE_PASS)) lit.rgb += pbr.emission; #endif diff --git a/2ner.shader b/2ner.shader index 1192b58..c8d2d00 100644 --- a/2ner.shader +++ b/2ner.shader @@ -369,6 +369,17 @@ Shader "yum_food/2ner" [HideInInspector] m_end_SSFD("SSFD", Float) = 0 //endex + //ifex _Harnack_Tracing_Enabled==0 + [HideInInspector] m_start_Harnack_Tracing("Harnack tracing", Float) = 0 + [ThryToggle(_HARNACK_TRACING)] _Harnack_Tracing_Enabled("Enable", Float) = 0 + [HideInInspector] m_start_Harnack_Tracing_Gyroid("Gyroid", Float) = 0 + [ThryToggle(_HARNACK_TRACING_GYROID)] _Harnack_Tracing_Gyroid_Enabled("Enable", Float) = 0 + _Harnack_Tracing_Gyroid_Speed("Speed", Float) = 0.0 + _Harnack_Tracing_Gyroid_Scale("Scale", Float) = 10.0 + [HideInInspector] m_end_Harnack_Tracing_Gyroid("Gyroid", Float) = 0 + [HideInInspector] m_end_Harnack_Tracing("Harnack tracing", Float) = 0 + //endex + //ifex _Masked_Stencil1_Enabled==0 [HideInInspector] m_start_Masked_Stencil1("Masked stencil 1", Float) = 0 [ThryToggle(_)] _Masked_Stencil1_Enabled("Enable", Float) = 0 diff --git a/Materials/Filament calibration/Mat00.mat b/Materials/Filament calibration/Mat00.mat new file mode 100644 index 0000000..b26c951 --- /dev/null +++ b/Materials/Filament calibration/Mat00.mat @@ -0,0 +1,600 @@ +%YAML 1.1 +%TAG !u! tag:unity3d.com,2011: +--- !u!21 &2100000 +Material: + serializedVersion: 8 + m_ObjectHideFlags: 0 + m_CorrespondingSourceObject: {fileID: 0} + m_PrefabInstance: {fileID: 0} + m_PrefabAsset: {fileID: 0} + m_Name: Mat00 + m_Shader: {fileID: 4800000, guid: b4e71db42d10be94e9a50ee0569be871, type: 3} + m_Parent: {fileID: 0} + 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files /dev/null and b/Textures/SSFD_4x4/dots_L9-sdf.png differ diff --git a/Textures/SSFD_4x4/dots_L9.png b/Textures/SSFD_4x4/dots_L9.png new file mode 100644 index 0000000..fd0bd3b Binary files /dev/null and b/Textures/SSFD_4x4/dots_L9.png differ diff --git a/Textures/black.png b/Textures/black.png new file mode 100644 index 0000000..014a858 Binary files /dev/null and b/Textures/black.png differ diff --git a/Textures/invisible.png b/Textures/invisible.png new file mode 100644 index 0000000..03fc4a1 Binary files /dev/null and b/Textures/invisible.png differ diff --git a/Textures/white.png b/Textures/white.png new file mode 100644 index 0000000..040a62d Binary files /dev/null and b/Textures/white.png differ diff --git a/face_me.cginc b/face_me.cginc index b5622b5..e048dfd 100644 --- a/face_me.cginc +++ b/face_me.cginc @@ -4,6 +4,7 @@ #include "cnlohr.cginc" #include "interpolators.cginc" +#if defined(_FACE_ME) // Rotate the object's position and normal so that it always faces the camera. void face_me(inout appdata v) { [branch] @@ -59,6 +60,7 @@ void face_me(inout appdata v) { v.tangent.xyz = normalize(mul(unity_WorldToObject, world_tangent)); } } +#endif // _FACE_ME #endif // __FACE_ME_INC diff --git a/features.cginc b/features.cginc index 3e554cf..e087359 100644 --- a/features.cginc +++ b/features.cginc @@ -102,6 +102,11 @@ #pragma shader_feature_local _FACE_ME //endex +//ifex _Harnack_Tracing_Enabled==0 +#pragma shader_feature_local _HARNACK_TRACING +#pragma shader_feature_local _HARNACK_TRACING_GYROID +//endex + //ifex _Decal0_Enabled==0 #pragma shader_feature_local _DECAL0 #pragma shader_feature_local _DECAL0_NORMAL diff --git a/globals.cginc b/globals.cginc index 253c78e..4f1d419 100644 --- a/globals.cginc +++ b/globals.cginc @@ -348,4 +348,9 @@ float3 _Cloth_Subsurface_Color; #endif // _MATERIAL_TYPE_CLOTH_SUBSURFACE #endif // _MATERIAL_TYPE_CLOTH +#if defined(_HARNACK_TRACING_GYROID) +float _Harnack_Tracing_Gyroid_Speed; +float _Harnack_Tracing_Gyroid_Scale; +#endif // _HARNACK_TRACING_GYROID + #endif // __GLOBALS_INC diff --git a/harnack_tracing.cginc b/harnack_tracing.cginc new file mode 100644 index 0000000..bd911fa --- /dev/null +++ b/harnack_tracing.cginc @@ -0,0 +1,168 @@ +#ifndef __HARNACK_TRACING_INC +#define __HARNACK_TRACING_INC + +#include "cnlohr.cginc" +#include "globals.cginc" +#include "interpolators.cginc" + +#if defined(_HARNACK_TRACING) + +#define MAX_ITERATIONS 100 +#define UNIT_SHIFT 5.0 +#define WALL_THICKNESS 0.1 + +#define SPHERE_RADIUS 0.49 +#define OUTER_RADIUS (SPHERE_RADIUS + 0.5) + +float gyroid(float3 pos); +float3 gyroid_gradient(float3 pos); +bool harnackTrace(float3 ro, float3 rd, out float t, out float3 pos, out float3 normal, float tMax); +bool intersectSphere(float3 ro, float3 rd, float3 center, float radius, out float t0, out float t1); +float getRadius(float3 p); +float getMaxStep4D(float fx, float R, float levelset, float shift); +bool closeToLevelset(float f, float levelset, float tol, float gradNorm); +bool betweenLevelsets(float f, float loBound, float hiBound, float tol, float gradNorm); + +struct HarnackTracingOutput { + float4 color; + float3 worldPos; // intersection point in world space + float3 normal; // normal in world space +}; + +// Gyroid function implementation +float gyroid(float3 pos) { + float timeOffset = 2.0 * PI * _Harnack_Tracing_Gyroid_Speed * _Time.y; + float3 p = _Harnack_Tracing_Gyroid_Scale * pos + float3(0.0, timeOffset, 0.0); + return sin(p.x) * cos(p.y) + sin(p.y) * cos(p.z) + sin(p.z) * cos(p.x); +} + +// Gradient of gyroid function +float3 gyroid_gradient(float3 pos) { + float timeOffset = 2.0 * PI * _Harnack_Tracing_Gyroid_Speed * _Time.y; + float3 p = _Harnack_Tracing_Gyroid_Scale * pos + float3(0.0, timeOffset, 0.0); + return float3( + cos(p.x) * cos(p.y) - sin(p.z) * sin(p.x), + cos(p.y) * cos(p.z) - sin(p.x) * sin(p.y), + cos(p.z) * cos(p.x) - sin(p.y) * sin(p.z) + ) * _Harnack_Tracing_Gyroid_Scale; +} + +// Get radius from point to outer boundary +float getRadius(float3 p) { + return OUTER_RADIUS - length(p); +} + +// Calculate if point is close to levelset +bool closeToLevelset(float f, float levelset, float tol, float gradNorm) { + return abs(f - levelset) < tol; +} + +// Calculate if point is between levelsets (for wall thickness) +bool betweenLevelsets(float f, float loBound, float hiBound, float tol, float gradNorm) { + return max(loBound - f, f - hiBound) < tol; +} + +// Sphere intersection test +bool intersectSphere(float3 ro, float3 rd, float3 center, float radius, out float t0, out float t1) { + float3 oc = ro - center; + float b = dot(oc, rd); + float c = dot(oc, oc) - radius * radius; + float h = b * b - c; + + if (h < 0.0) return false; + + h = sqrt(h); + t0 = -b - h; + t1 = -b + h; + + return true; +} + +// Calculate maximum step size for Harnack tracing +float getMaxStep4D(float fx, float R, float levelset, float shift) { + float a = (fx + shift) / (levelset + shift); + float u = pow(3.0 * sqrt(3.0 * pow(a, 3.0) + 81.0 * pow(a, 2.0)) + 27.0 * a, 1.0 / 3.0); + return R * abs(u / 3.0 - a / u - 1.0); +} + +// Main Harnack tracing function +bool harnackTrace(float3 ro, float3 rd, out float t, out float3 pos, out float3 normal, float tMax) { + t = 0.0; + float levelset = sin(_Harnack_Tracing_Gyroid_Speed * _Time.y); + + // Early sphere intersection test + float t0, t1; + if (!intersectSphere(ro, rd, float3(0,0,0), SPHERE_RADIUS, t0, t1) || tMax < 0.0) + return false; + + // Optimize bounds + t = max(t0, 0.0); + tMax = min(t1, tMax); + + // Check immediate intersection + pos = ro + t0 * rd; + float val = gyroid(pos); + float3 gradF = gyroid_gradient(pos); + if (betweenLevelsets(val, levelset - WALL_THICKNESS, levelset + WALL_THICKNESS, 0.025, length(gradF))) { + normal = normalize(gradF); + return true; + } + + float t_overstep = 0.0; + + [loop] + for (int iters = 0; iters < MAX_ITERATIONS && t < tMax; iters++) { + pos = ro + t * rd + t_overstep * rd; + + val = gyroid(pos); + gradF = gyroid_gradient(pos); + + float offset_levelset = clamp(val, levelset - WALL_THICKNESS, levelset + WALL_THICKNESS); + + float R = getRadius(pos); + float shift = exp(sqrt(2.0) * R) * UNIT_SHIFT; + float r = getMaxStep4D(val, R, offset_levelset, shift); + + if (r >= t_overstep && closeToLevelset(val, offset_levelset, 0.025, length(gradF))) { + normal = normalize(gradF); + return true; + } + + float stepSize = (r >= t_overstep) ? t_overstep + r : 0.0; + t_overstep = (r >= t_overstep) ? r * 0.75 : 0.0; + t += stepSize; + } + + normal = float3(0,0,0); + return false; +} + +HarnackTracingOutput HarnackTracing(v2f i) { + HarnackTracingOutput o = (HarnackTracingOutput)0; + +#if defined(_HARNACK_TRACING_GYROID) + float3 worldRo = _WorldSpaceCameraPos; + float3 ro = mul(unity_WorldToObject, float4(worldRo, 1.0)).xyz; + + float3 worldRd = normalize(i.worldPos - worldRo); + float3 rd = normalize(mul((float3x3)unity_WorldToObject, worldRd)); + + float t; + float3 pos; + float3 normal; + + bool hit = harnackTrace(ro, rd, t, pos, normal, 100.0); + + if (hit) { + o.color = 1; + o.worldPos = mul(unity_ObjectToWorld, float4(pos, 1.0)).xyz; + o.normal = normalize(mul(transpose((float3x3)unity_WorldToObject), normal)); + } +#endif + + return o; +} + +#endif // _HARNACK_TRACING + +#endif // __HARNACK_TRACING_INC -- cgit v1.2.3