diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..b999e80 --- /dev/null +++ b/.gitignore @@ -0,0 +1,68 @@ +/[Ll]ibrary/ +/[Tt]emp/ +/[Oo]bj/ +/[Bb]uild/ +/[Bb]uilds/ +/[Ll]ogs/ +/[Uu]ser[Ss]ettings/ + +# MemoryCaptures can get excessive in size. +# They also could contain extremely sensitive data +/[Mm]emoryCaptures/ + +# Recordings can get excessive in size +/[Rr]ecordings/ + +# Uncomment this line if you wish to ignore the asset store tools plugin +# /[Aa]ssets/AssetStoreTools* + +# Autogenerated Jetbrains Rider plugin +/[Aa]ssets/Plugins/Editor/JetBrains* + +# Visual Studio cache directory +.vs/ + +# Gradle cache directory +.gradle/ + +# Autogenerated VS/MD/Consulo solution and project files +ExportedObj/ +.consulo/ +*.csproj +*.unityproj +*.sln +*.suo +*.tmp +*.user +*.userprefs +*.pidb +*.booproj +*.svd +*.pdb +*.mdb +*.opendb +*.VC.db + +# Unity3D generated meta files +*.pidb.meta +*.pdb.meta +*.mdb.meta + +# Unity3D generated file on crash reports +sysinfo.txt + +# Builds +*.apk +*.aab +*.unitypackage +*.app + +# Crashlytics generated file +crashlytics-build.properties + +# Packed Addressables +/[Aa]ssets/[Aa]ddressable[Aa]ssets[Dd]ata/*/*.bin* + +# Temporary auto-generated Android Assets +/[Aa]ssets/[Ss]treamingAssets/aa.meta +/[Aa]ssets/[Ss]treamingAssets/aa/* \ No newline at end of file diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..b999e80 --- /dev/null +++ b/.gitignore @@ -0,0 +1,68 @@ +/[Ll]ibrary/ +/[Tt]emp/ +/[Oo]bj/ +/[Bb]uild/ +/[Bb]uilds/ +/[Ll]ogs/ +/[Uu]ser[Ss]ettings/ + +# MemoryCaptures can get excessive in size. +# They also could contain extremely sensitive data +/[Mm]emoryCaptures/ + +# Recordings can get excessive in size +/[Rr]ecordings/ + +# Uncomment this line if you wish to ignore the asset store tools plugin +# /[Aa]ssets/AssetStoreTools* + +# Autogenerated Jetbrains Rider plugin +/[Aa]ssets/Plugins/Editor/JetBrains* + +# Visual Studio cache directory +.vs/ + +# Gradle cache directory +.gradle/ + +# Autogenerated VS/MD/Consulo solution and project files +ExportedObj/ +.consulo/ +*.csproj +*.unityproj +*.sln +*.suo +*.tmp +*.user +*.userprefs +*.pidb +*.booproj +*.svd +*.pdb +*.mdb +*.opendb +*.VC.db + +# Unity3D generated meta files +*.pidb.meta +*.pdb.meta +*.mdb.meta + +# Unity3D generated file on crash reports +sysinfo.txt + +# Builds +*.apk +*.aab +*.unitypackage +*.app + +# Crashlytics generated file +crashlytics-build.properties + +# Packed Addressables +/[Aa]ssets/[Aa]ddressable[Aa]ssets[Dd]ata/*/*.bin* + +# Temporary auto-generated Android Assets +/[Aa]ssets/[Ss]treamingAssets/aa.meta +/[Aa]ssets/[Ss]treamingAssets/aa/* \ No newline at end of file diff --git a/.vscode/settings.json b/.vscode/settings.json new file mode 100644 index 0000000..1060b04 --- /dev/null +++ b/.vscode/settings.json @@ -0,0 +1,56 @@ +{ + "files.exclude": + { + "**/.DS_Store":true, + "**/.git":true, + "**/.gitignore":true, + "**/.gitmodules":true, + "**/*.booproj":true, + 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0000000..b999e80 --- /dev/null +++ b/.gitignore @@ -0,0 +1,68 @@ +/[Ll]ibrary/ +/[Tt]emp/ +/[Oo]bj/ +/[Bb]uild/ +/[Bb]uilds/ +/[Ll]ogs/ +/[Uu]ser[Ss]ettings/ + +# MemoryCaptures can get excessive in size. +# They also could contain extremely sensitive data +/[Mm]emoryCaptures/ + +# Recordings can get excessive in size +/[Rr]ecordings/ + +# Uncomment this line if you wish to ignore the asset store tools plugin +# /[Aa]ssets/AssetStoreTools* + +# Autogenerated Jetbrains Rider plugin +/[Aa]ssets/Plugins/Editor/JetBrains* + +# Visual Studio cache directory +.vs/ + +# Gradle cache directory +.gradle/ + +# Autogenerated VS/MD/Consulo solution and project files +ExportedObj/ +.consulo/ +*.csproj +*.unityproj +*.sln +*.suo +*.tmp +*.user +*.userprefs +*.pidb +*.booproj +*.svd +*.pdb +*.mdb +*.opendb +*.VC.db + +# Unity3D generated meta files +*.pidb.meta +*.pdb.meta +*.mdb.meta + +# Unity3D generated file on crash reports +sysinfo.txt + +# Builds +*.apk +*.aab +*.unitypackage +*.app + +# Crashlytics generated file +crashlytics-build.properties + +# Packed Addressables +/[Aa]ssets/[Aa]ddressable[Aa]ssets[Dd]ata/*/*.bin* + +# Temporary auto-generated Android Assets +/[Aa]ssets/[Ss]treamingAssets/aa.meta +/[Aa]ssets/[Ss]treamingAssets/aa/* \ No newline at end of file diff --git a/.vscode/settings.json b/.vscode/settings.json new file mode 100644 index 0000000..1060b04 --- /dev/null +++ b/.vscode/settings.json @@ -0,0 +1,56 @@ +{ + "files.exclude": + { + "**/.DS_Store":true, + "**/.git":true, + "**/.gitignore":true, + "**/.gitmodules":true, + "**/*.booproj":true, + "**/*.pidb":true, + "**/*.suo":true, + "**/*.user":true, + "**/*.userprefs":true, + "**/*.unityproj":true, + "**/*.dll":true, + "**/*.exe":true, + "**/*.pdf":true, + "**/*.mid":true, + "**/*.midi":true, + "**/*.wav":true, + "**/*.gif":true, + "**/*.ico":true, + "**/*.jpg":true, + "**/*.jpeg":true, + "**/*.png":true, + "**/*.psd":true, + "**/*.tga":true, + "**/*.tif":true, + "**/*.tiff":true, + "**/*.3ds":true, + 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+/[Oo]bj/ +/[Bb]uild/ +/[Bb]uilds/ +/[Ll]ogs/ +/[Uu]ser[Ss]ettings/ + +# MemoryCaptures can get excessive in size. +# They also could contain extremely sensitive data +/[Mm]emoryCaptures/ + +# Recordings can get excessive in size +/[Rr]ecordings/ + +# Uncomment this line if you wish to ignore the asset store tools plugin +# /[Aa]ssets/AssetStoreTools* + +# Autogenerated Jetbrains Rider plugin +/[Aa]ssets/Plugins/Editor/JetBrains* + +# Visual Studio cache directory +.vs/ + +# Gradle cache directory +.gradle/ + +# Autogenerated VS/MD/Consulo solution and project files +ExportedObj/ +.consulo/ +*.csproj +*.unityproj +*.sln +*.suo +*.tmp +*.user +*.userprefs +*.pidb +*.booproj +*.svd +*.pdb +*.mdb +*.opendb +*.VC.db + +# Unity3D generated meta files +*.pidb.meta +*.pdb.meta +*.mdb.meta + +# Unity3D generated file on crash reports +sysinfo.txt + +# Builds +*.apk +*.aab +*.unitypackage +*.app + +# Crashlytics generated file +crashlytics-build.properties + +# Packed Addressables 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System.Collections; +using System.Collections.Generic; +using UnityEngine; +using UnityEngine.UI; + +public class Display : MonoBehaviour +{ + public ComputeShader schrodinger, visualization; + public RenderTexture texture; + public ComputeBuffer psi, potential; + public int resolution = 512; + public int speed = 100; + public Text time; + public int elapsedTime = 0; + + private void Start() { + psi = new ComputeBuffer(resolution * resolution * 8, 8); + // GC.KeepAlive(psiOld); + potential = new ComputeBuffer(resolution * resolution * 4, 4); + + texture = new RenderTexture(resolution, resolution, 2); + texture.enableRandomWrite = true; + texture.Create(); + + int kernel = schrodinger.FindKernel("initialize"); + schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int 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visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int kernel = schrodinger.FindKernel("process"); + schrodinger.SetInt("speed", speed); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + for (int i = 0; i < speed; i++) { + schrodinger.Dispatch(kernel, 8, 8, 1); + } + elapsedTime += speed; + time.text = string.Format("time: {0} us", (float)elapsedTime / 200); + visualization.SetBuffer(0, "psiIn", psi); + visualization.SetTexture(0, "result", texture); + visualization.Dispatch(0, 8, 8, 1); + } + + private void OnRenderImage(RenderTexture before, RenderTexture destination) { + Graphics.Blit(texture, destination); + } +} diff --git a/Assets/Scripts/Display.cs.meta b/Assets/Scripts/Display.cs.meta new file mode 100644 index 0000000..78f9f60 --- /dev/null +++ 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index 0000000..c1e3c88 --- /dev/null +++ b/Assets/Scenes/SampleScene.unity.meta @@ -0,0 +1,7 @@ +fileFormatVersion: 2 +guid: 2cda990e2423bbf4892e6590ba056729 +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Scripts.meta b/Assets/Scripts.meta new file mode 100644 index 0000000..928f668 --- /dev/null +++ b/Assets/Scripts.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: 3b2a313ca00408e4bb29a0479cbcf610 +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Scripts/Display.cs b/Assets/Scripts/Display.cs new file mode 100644 index 0000000..b0dc5ba --- /dev/null +++ b/Assets/Scripts/Display.cs @@ -0,0 +1,51 @@ +using System.Collections; +using System.Collections.Generic; +using UnityEngine; +using UnityEngine.UI; + +public class Display : MonoBehaviour +{ + public ComputeShader schrodinger, visualization; + public RenderTexture texture; + public ComputeBuffer psi, potential; + public int resolution = 512; + public int speed = 100; + public Text time; + public int elapsedTime = 0; + + private void Start() { + psi = new ComputeBuffer(resolution * resolution * 8, 8); + // GC.KeepAlive(psiOld); + potential = new ComputeBuffer(resolution * resolution * 4, 4); + + texture = new RenderTexture(resolution, resolution, 2); + texture.enableRandomWrite = true; + texture.Create(); + + int kernel = schrodinger.FindKernel("initialize"); + schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int kernel = schrodinger.FindKernel("process"); + schrodinger.SetInt("speed", speed); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + for (int i = 0; i < speed; i++) { + schrodinger.Dispatch(kernel, 8, 8, 1); + } + elapsedTime += speed; + time.text = string.Format("time: {0} us", (float)elapsedTime / 200); + visualization.SetBuffer(0, "psiIn", psi); + visualization.SetTexture(0, "result", texture); + visualization.Dispatch(0, 8, 8, 1); + } + + private void OnRenderImage(RenderTexture before, RenderTexture destination) { + Graphics.Blit(texture, destination); + } +} diff --git a/Assets/Scripts/Display.cs.meta b/Assets/Scripts/Display.cs.meta new file mode 100644 index 0000000..78f9f60 --- /dev/null +++ b/Assets/Scripts/Display.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: c147d2d32f2189545bd8eb6e93fad190 +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders.meta b/Assets/Shaders.meta new file mode 100644 index 0000000..2d603bb --- /dev/null +++ b/Assets/Shaders.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: b51f1d57807a92c4b86406339fdac8dc +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/SchrodingerCompute.compute b/Assets/Shaders/SchrodingerCompute.compute new file mode 100644 index 0000000..91bf1cb --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute @@ -0,0 +1,58 @@ +#pragma kernel process +#pragma kernel initialize + +RWStructuredBuffer psi; +RWStructuredBuffer potential; + +int resolution; +static const float PI = 3.14159265; +static const float dt = 1e-9; +int speed; + +float V(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 1e11; + } + return -5e5 * potential[x + resolution * y]; +} + +float2 psi_(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psi[x + resolution * y]; +} + +float2 timesI(float2 number) { + return float2(-number.y, number.x); +} + +[numthreads(32,32,1)] +void process (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi_(id.x + 1, id.y) - 2 * psi_(id.x, id.y) + psi_(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi_(id.x, id.y + 1) - 2 * psi_(id.x, id.y) + psi_(id.x, id.y - 1)) / (dx * dx); + float2 dPsiByDt = timesI((d2PsiByDx2 + d2PsiByDy2) - psi_(id.x, id.y) * V(id.x, id.y)); + float2 result = psi[id.x + resolution * id.y] + dPsiByDt * dt; + GroupMemoryBarrierWithGroupSync(); + psi[id.x + resolution * id.y] = result; +} + +static const float mu = 0.5; +static const float sigma = 0.05; + +[numthreads(32,32,1)] +void initialize(uint3 id: SV_DispatchThreadID) { + float x = (float) id.x / resolution; + float y = (float) id.y / resolution; + if (x >= 0.25 && x <= 0.75) { + psi[id.x + resolution * id.y] = float2(sin(4*PI*(x-0.25)), sin(4*PI*(x-0.125))) * sin(2*PI*(x-0.25)) * sin(PI*y); + } else { + psi[id.x + resolution*id.y] = float2(0, 0); + } + // psi[id.x + resolution * id.y] = float2((sin(16*x*PI)) * sin(y * PI), 0) * 0.5; + potential[id.x + resolution * id.y] = 0; // exp(-(x-mu)*(x-mu) / (2*sigma*sigma)); +} \ No newline at end of file diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..b999e80 --- /dev/null +++ b/.gitignore @@ -0,0 +1,68 @@ +/[Ll]ibrary/ +/[Tt]emp/ +/[Oo]bj/ +/[Bb]uild/ +/[Bb]uilds/ +/[Ll]ogs/ +/[Uu]ser[Ss]ettings/ + +# MemoryCaptures can get excessive in size. +# They also could contain extremely sensitive data +/[Mm]emoryCaptures/ + +# Recordings can get excessive in size +/[Rr]ecordings/ + +# Uncomment this line if you wish to ignore the asset store tools plugin +# /[Aa]ssets/AssetStoreTools* + +# Autogenerated Jetbrains Rider plugin +/[Aa]ssets/Plugins/Editor/JetBrains* + +# Visual Studio cache directory +.vs/ + +# Gradle cache directory +.gradle/ + +# Autogenerated VS/MD/Consulo 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RenderTexture(resolution, resolution, 2); + texture.enableRandomWrite = true; + texture.Create(); + + int kernel = schrodinger.FindKernel("initialize"); + schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int kernel = schrodinger.FindKernel("process"); + schrodinger.SetInt("speed", speed); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + for (int i = 0; i < speed; i++) { + schrodinger.Dispatch(kernel, 8, 8, 1); + } + elapsedTime += speed; + time.text = string.Format("time: {0} us", (float)elapsedTime / 200); + visualization.SetBuffer(0, "psiIn", psi); + visualization.SetTexture(0, "result", texture); + visualization.Dispatch(0, 8, 8, 1); + } + + private void OnRenderImage(RenderTexture before, RenderTexture destination) { + Graphics.Blit(texture, destination); + } +} diff --git a/Assets/Scripts/Display.cs.meta b/Assets/Scripts/Display.cs.meta new file mode 100644 index 0000000..78f9f60 --- /dev/null +++ b/Assets/Scripts/Display.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: c147d2d32f2189545bd8eb6e93fad190 +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders.meta b/Assets/Shaders.meta new file mode 100644 index 0000000..2d603bb --- /dev/null +++ b/Assets/Shaders.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: b51f1d57807a92c4b86406339fdac8dc +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/SchrodingerCompute.compute b/Assets/Shaders/SchrodingerCompute.compute new file mode 100644 index 0000000..91bf1cb --- /dev/null +++ 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elapsedTime = 0; + + private void Start() { + psi = new ComputeBuffer(resolution * resolution * 8, 8); + // GC.KeepAlive(psiOld); + potential = new ComputeBuffer(resolution * resolution * 4, 4); + + texture = new RenderTexture(resolution, resolution, 2); + texture.enableRandomWrite = true; + texture.Create(); + + int kernel = schrodinger.FindKernel("initialize"); + schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int kernel = schrodinger.FindKernel("process"); + schrodinger.SetInt("speed", speed); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + for (int i = 0; i < speed; i++) { + schrodinger.Dispatch(kernel, 8, 8, 1); + } + elapsedTime += speed; + time.text = string.Format("time: {0} us", (float)elapsedTime / 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id.y == resolution - 1) { + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi_(id.x + 1, id.y) - 2 * psi_(id.x, id.y) + psi_(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi_(id.x, id.y + 1) - 2 * psi_(id.x, id.y) + psi_(id.x, id.y - 1)) / (dx * dx); + float2 dPsiByDt = timesI((d2PsiByDx2 + d2PsiByDy2) - psi_(id.x, id.y) * V(id.x, id.y)); + float2 result = psi[id.x + resolution * id.y] + dPsiByDt * dt; + GroupMemoryBarrierWithGroupSync(); + psi[id.x + resolution * id.y] = result; +} + +static const float mu = 0.5; +static const float sigma = 0.05; + +[numthreads(32,32,1)] +void initialize(uint3 id: SV_DispatchThreadID) { + float x = (float) id.x / resolution; + float y = (float) id.y / resolution; + if (x >= 0.25 && x <= 0.75) { + psi[id.x + resolution * id.y] = float2(sin(4*PI*(x-0.25)), sin(4*PI*(x-0.125))) * sin(2*PI*(x-0.25)) * sin(PI*y); + } else { + psi[id.x + resolution*id.y] = float2(0, 0); + } + // psi[id.x + resolution * id.y] = float2((sin(16*x*PI)) * sin(y * PI), 0) * 0.5; + potential[id.x + resolution * id.y] = 0; // exp(-(x-mu)*(x-mu) / (2*sigma*sigma)); +} \ No newline at end of file diff --git a/Assets/Shaders/SchrodingerCompute.compute.meta b/Assets/Shaders/SchrodingerCompute.compute.meta new file mode 100644 index 0000000..8f4d570 --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 979c7135e7e183e43bf950b33bf979d1 +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/Visualization.compute b/Assets/Shaders/Visualization.compute new file mode 100644 index 0000000..538f40e --- /dev/null +++ b/Assets/Shaders/Visualization.compute @@ -0,0 +1,29 @@ +#pragma kernel CSMain + +RWStructuredBuffer psiIn; +RWTexture2D result; +int resolution; + +float2 psi(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 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b/Assets/Scripts/Display.cs @@ -0,0 +1,51 @@ +using System.Collections; +using System.Collections.Generic; +using UnityEngine; +using UnityEngine.UI; + +public class Display : MonoBehaviour +{ + public ComputeShader schrodinger, visualization; + public RenderTexture texture; + public ComputeBuffer psi, potential; + public int resolution = 512; + public int speed = 100; + public Text time; + public int elapsedTime = 0; + + private void Start() { + psi = new ComputeBuffer(resolution * resolution * 8, 8); + // GC.KeepAlive(psiOld); + potential = new ComputeBuffer(resolution * resolution * 4, 4); + + texture = new RenderTexture(resolution, resolution, 2); + texture.enableRandomWrite = true; + texture.Create(); + + int kernel = schrodinger.FindKernel("initialize"); + schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + 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return 1e11; + } + return -5e5 * potential[x + resolution * y]; +} + +float2 psi_(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psi[x + resolution * y]; +} + +float2 timesI(float2 number) { + return float2(-number.y, number.x); +} + +[numthreads(32,32,1)] +void process (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi_(id.x + 1, id.y) - 2 * psi_(id.x, id.y) + psi_(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi_(id.x, id.y + 1) - 2 * psi_(id.x, id.y) + psi_(id.x, id.y - 1)) / (dx * dx); + float2 dPsiByDt = timesI((d2PsiByDx2 + d2PsiByDy2) - psi_(id.x, id.y) * V(id.x, id.y)); + float2 result = psi[id.x + resolution * id.y] + dPsiByDt * dt; + GroupMemoryBarrierWithGroupSync(); + psi[id.x + resolution * id.y] = result; +} + +static const float mu = 0.5; +static const float sigma = 0.05; + +[numthreads(32,32,1)] +void initialize(uint3 id: SV_DispatchThreadID) { + float x = (float) id.x / resolution; + float y = (float) id.y / resolution; + if (x >= 0.25 && x <= 0.75) { + psi[id.x + resolution * id.y] = float2(sin(4*PI*(x-0.25)), sin(4*PI*(x-0.125))) * sin(2*PI*(x-0.25)) * sin(PI*y); + } else { + psi[id.x + resolution*id.y] = float2(0, 0); + } + // psi[id.x + resolution * id.y] = float2((sin(16*x*PI)) * sin(y * PI), 0) * 0.5; + potential[id.x + resolution * id.y] = 0; // exp(-(x-mu)*(x-mu) / (2*sigma*sigma)); +} \ No newline at end of file diff --git a/Assets/Shaders/SchrodingerCompute.compute.meta b/Assets/Shaders/SchrodingerCompute.compute.meta new file mode 100644 index 0000000..8f4d570 --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 979c7135e7e183e43bf950b33bf979d1 +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + 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psiIn[id.x + resolution * id.y]; + // result[id.xy] = float4(_psi.x + 0.5, _psi.y + 0.5, 0, 1.0f); + // result[id.xy] = float4(intensity * (_psi.x+0.5), intensity * (_psi.y + 0.5), intensity, 1.0f); + float intensity = _psi.x*_psi.x + _psi.y*_psi.y; + result[id.xy] = float4(intensity, intensity, intensity, 1.0f); +} diff --git a/Assets/Shaders/Visualization.compute.meta b/Assets/Shaders/Visualization.compute.meta new file mode 100644 index 0000000..dab1c8b --- /dev/null +++ b/Assets/Shaders/Visualization.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: c949a119cc67aa347a6c6df53f77ffdf +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..b999e80 --- /dev/null +++ b/.gitignore @@ -0,0 +1,68 @@ +/[Ll]ibrary/ +/[Tt]emp/ +/[Oo]bj/ +/[Bb]uild/ +/[Bb]uilds/ +/[Ll]ogs/ +/[Uu]ser[Ss]ettings/ + +# MemoryCaptures can get 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1078554322} + m_CullTransparentMesh: 1 diff --git a/Assets/Scenes/SampleScene.unity.meta b/Assets/Scenes/SampleScene.unity.meta new file mode 100644 index 0000000..c1e3c88 --- /dev/null +++ b/Assets/Scenes/SampleScene.unity.meta @@ -0,0 +1,7 @@ +fileFormatVersion: 2 +guid: 2cda990e2423bbf4892e6590ba056729 +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Scripts.meta b/Assets/Scripts.meta new file mode 100644 index 0000000..928f668 --- /dev/null +++ b/Assets/Scripts.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: 3b2a313ca00408e4bb29a0479cbcf610 +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Scripts/Display.cs b/Assets/Scripts/Display.cs new file mode 100644 index 0000000..b0dc5ba --- /dev/null +++ b/Assets/Scripts/Display.cs @@ -0,0 +1,51 @@ +using System.Collections; +using System.Collections.Generic; +using UnityEngine; +using UnityEngine.UI; + +public class Display : MonoBehaviour +{ + public ComputeShader schrodinger, visualization; + public RenderTexture texture; + public ComputeBuffer psi, potential; + public int resolution = 512; + public int speed = 100; + public Text time; + public int elapsedTime = 0; + + private void Start() { + psi = new ComputeBuffer(resolution * resolution * 8, 8); + // GC.KeepAlive(psiOld); + potential = new ComputeBuffer(resolution * resolution * 4, 4); + + texture = new RenderTexture(resolution, resolution, 2); + texture.enableRandomWrite = true; + texture.Create(); + + int kernel = schrodinger.FindKernel("initialize"); + schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int kernel = schrodinger.FindKernel("process"); + schrodinger.SetInt("speed", speed); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + for (int i = 0; i < speed; i++) { + schrodinger.Dispatch(kernel, 8, 8, 1); + } + elapsedTime += speed; + time.text = string.Format("time: {0} us", (float)elapsedTime / 200); + visualization.SetBuffer(0, "psiIn", psi); + visualization.SetTexture(0, "result", texture); + visualization.Dispatch(0, 8, 8, 1); + } + + private void OnRenderImage(RenderTexture before, RenderTexture destination) { + Graphics.Blit(texture, destination); + } +} diff --git a/Assets/Scripts/Display.cs.meta b/Assets/Scripts/Display.cs.meta new file mode 100644 index 0000000..78f9f60 --- /dev/null +++ b/Assets/Scripts/Display.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: c147d2d32f2189545bd8eb6e93fad190 +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders.meta b/Assets/Shaders.meta new file mode 100644 index 0000000..2d603bb --- /dev/null +++ b/Assets/Shaders.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: b51f1d57807a92c4b86406339fdac8dc +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/SchrodingerCompute.compute b/Assets/Shaders/SchrodingerCompute.compute new file mode 100644 index 0000000..91bf1cb --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute @@ -0,0 +1,58 @@ +#pragma kernel process +#pragma kernel initialize + +RWStructuredBuffer psi; +RWStructuredBuffer potential; + +int resolution; +static const float PI = 3.14159265; +static const float dt = 1e-9; +int speed; + +float V(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 1e11; + } + return -5e5 * potential[x + resolution * y]; +} + +float2 psi_(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psi[x + resolution * y]; +} + +float2 timesI(float2 number) { + return float2(-number.y, number.x); +} + +[numthreads(32,32,1)] +void process (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi_(id.x + 1, id.y) - 2 * psi_(id.x, id.y) + psi_(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi_(id.x, id.y + 1) - 2 * psi_(id.x, id.y) + psi_(id.x, id.y - 1)) / (dx * dx); + float2 dPsiByDt = timesI((d2PsiByDx2 + d2PsiByDy2) - psi_(id.x, id.y) * V(id.x, id.y)); + float2 result = psi[id.x + resolution * id.y] + dPsiByDt * dt; + GroupMemoryBarrierWithGroupSync(); + psi[id.x + resolution * id.y] = result; +} + +static const float mu = 0.5; +static const float sigma = 0.05; + +[numthreads(32,32,1)] +void initialize(uint3 id: SV_DispatchThreadID) { + float x = (float) id.x / resolution; + float y = (float) id.y / resolution; + if (x >= 0.25 && x <= 0.75) { + psi[id.x + resolution * id.y] = float2(sin(4*PI*(x-0.25)), sin(4*PI*(x-0.125))) * sin(2*PI*(x-0.25)) * sin(PI*y); + } else { + psi[id.x + resolution*id.y] = float2(0, 0); + } + // psi[id.x + resolution * id.y] = float2((sin(16*x*PI)) * sin(y * PI), 0) * 0.5; + potential[id.x + resolution * id.y] = 0; // exp(-(x-mu)*(x-mu) / (2*sigma*sigma)); +} \ No newline at end of file diff --git a/Assets/Shaders/SchrodingerCompute.compute.meta b/Assets/Shaders/SchrodingerCompute.compute.meta new file mode 100644 index 0000000..8f4d570 --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 979c7135e7e183e43bf950b33bf979d1 +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/Visualization.compute b/Assets/Shaders/Visualization.compute new file mode 100644 index 0000000..538f40e --- /dev/null +++ b/Assets/Shaders/Visualization.compute @@ -0,0 +1,29 @@ +#pragma kernel CSMain + +RWStructuredBuffer psiIn; +RWTexture2D result; +int resolution; + +float2 psi(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psiIn[x + resolution * y]; +} + +[numthreads(32,32,1)] +void CSMain (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + result[id.xy] = float4(0, 0, 0, 1.0f); + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi(id.x + 1, id.y) - 2 * psi(id.x, id.y) + psi(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi(id.x, id.y + 1) - 2 * psi(id.x, id.y) + psi(id.x, id.y - 1)) / (dx * dx); + // result[id.xy] = float4(d2PsiByDx2.x, d2PsiByDy2.x, 0, 1); + float2 _psi = psiIn[id.x + resolution * id.y]; + // result[id.xy] = float4(_psi.x + 0.5, _psi.y + 0.5, 0, 1.0f); + // result[id.xy] = float4(intensity * (_psi.x+0.5), intensity * (_psi.y + 0.5), intensity, 1.0f); + float intensity = _psi.x*_psi.x + _psi.y*_psi.y; + result[id.xy] = float4(intensity, intensity, intensity, 1.0f); +} diff --git a/Assets/Shaders/Visualization.compute.meta b/Assets/Shaders/Visualization.compute.meta new file mode 100644 index 0000000..dab1c8b --- /dev/null +++ b/Assets/Shaders/Visualization.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: c949a119cc67aa347a6c6df53f77ffdf +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Packages/manifest.json b/Packages/manifest.json new file mode 100644 index 0000000..89ebb8f --- /dev/null +++ b/Packages/manifest.json @@ -0,0 +1,49 @@ +{ + "dependencies": { + "com.unity.2d.animation": "5.0.10", + "com.unity.2d.pixel-perfect": "4.0.1", + "com.unity.2d.psdimporter": "4.1.3", + "com.unity.2d.sprite": "1.0.0", + "com.unity.2d.spriteshape": "5.1.7", + "com.unity.2d.tilemap": 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b/Assets/Scenes/SampleScene.unity.meta new file mode 100644 index 0000000..c1e3c88 --- /dev/null +++ b/Assets/Scenes/SampleScene.unity.meta @@ -0,0 +1,7 @@ +fileFormatVersion: 2 +guid: 2cda990e2423bbf4892e6590ba056729 +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Scripts.meta b/Assets/Scripts.meta new file mode 100644 index 0000000..928f668 --- /dev/null +++ b/Assets/Scripts.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: 3b2a313ca00408e4bb29a0479cbcf610 +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Scripts/Display.cs b/Assets/Scripts/Display.cs new file mode 100644 index 0000000..b0dc5ba --- /dev/null +++ b/Assets/Scripts/Display.cs @@ -0,0 +1,51 @@ +using System.Collections; +using System.Collections.Generic; +using UnityEngine; +using UnityEngine.UI; + +public class Display : MonoBehaviour +{ + public ComputeShader schrodinger, visualization; + public RenderTexture texture; + public ComputeBuffer psi, potential; + public int resolution = 512; + public int speed = 100; + public Text time; + public int elapsedTime = 0; + + private void Start() { + psi = new ComputeBuffer(resolution * resolution * 8, 8); + // GC.KeepAlive(psiOld); + potential = new ComputeBuffer(resolution * resolution * 4, 4); + + texture = new RenderTexture(resolution, resolution, 2); + texture.enableRandomWrite = true; + texture.Create(); + + int kernel = schrodinger.FindKernel("initialize"); + schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int kernel = schrodinger.FindKernel("process"); + schrodinger.SetInt("speed", speed); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + for (int i = 0; i < speed; i++) { + schrodinger.Dispatch(kernel, 8, 8, 1); + } + elapsedTime += speed; + time.text = string.Format("time: {0} us", (float)elapsedTime / 200); + visualization.SetBuffer(0, "psiIn", psi); + visualization.SetTexture(0, "result", texture); + visualization.Dispatch(0, 8, 8, 1); + } + + private void OnRenderImage(RenderTexture before, RenderTexture destination) { + Graphics.Blit(texture, destination); + } +} diff --git a/Assets/Scripts/Display.cs.meta b/Assets/Scripts/Display.cs.meta new file mode 100644 index 0000000..78f9f60 --- /dev/null +++ b/Assets/Scripts/Display.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: c147d2d32f2189545bd8eb6e93fad190 +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders.meta b/Assets/Shaders.meta new file mode 100644 index 0000000..2d603bb --- /dev/null +++ b/Assets/Shaders.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: b51f1d57807a92c4b86406339fdac8dc +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/SchrodingerCompute.compute b/Assets/Shaders/SchrodingerCompute.compute new file mode 100644 index 0000000..91bf1cb --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute @@ -0,0 +1,58 @@ +#pragma kernel process +#pragma kernel initialize + +RWStructuredBuffer psi; +RWStructuredBuffer potential; + +int resolution; +static const float PI = 3.14159265; +static const float dt = 1e-9; +int speed; + +float V(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 1e11; + } + return -5e5 * potential[x + resolution * y]; +} + +float2 psi_(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psi[x + resolution * y]; +} + +float2 timesI(float2 number) { + return float2(-number.y, number.x); +} + +[numthreads(32,32,1)] +void process (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi_(id.x + 1, id.y) - 2 * psi_(id.x, id.y) + psi_(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi_(id.x, id.y + 1) - 2 * psi_(id.x, id.y) + psi_(id.x, id.y - 1)) / (dx * dx); + float2 dPsiByDt = timesI((d2PsiByDx2 + d2PsiByDy2) - psi_(id.x, id.y) * V(id.x, id.y)); + float2 result = psi[id.x + resolution * id.y] + dPsiByDt * dt; + GroupMemoryBarrierWithGroupSync(); + psi[id.x + resolution * id.y] = result; +} + +static const float mu = 0.5; +static const float sigma = 0.05; + +[numthreads(32,32,1)] +void initialize(uint3 id: SV_DispatchThreadID) { + float x = (float) id.x / resolution; + float y = (float) id.y / resolution; + if (x >= 0.25 && x <= 0.75) { + psi[id.x + resolution * id.y] = float2(sin(4*PI*(x-0.25)), sin(4*PI*(x-0.125))) * sin(2*PI*(x-0.25)) * sin(PI*y); + } else { + psi[id.x + resolution*id.y] = float2(0, 0); + } + // psi[id.x + resolution * id.y] = float2((sin(16*x*PI)) * sin(y * PI), 0) * 0.5; + potential[id.x + resolution * id.y] = 0; // exp(-(x-mu)*(x-mu) / (2*sigma*sigma)); +} \ No newline at end of file diff --git a/Assets/Shaders/SchrodingerCompute.compute.meta b/Assets/Shaders/SchrodingerCompute.compute.meta new file mode 100644 index 0000000..8f4d570 --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 979c7135e7e183e43bf950b33bf979d1 +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/Visualization.compute b/Assets/Shaders/Visualization.compute new file mode 100644 index 0000000..538f40e --- /dev/null +++ b/Assets/Shaders/Visualization.compute @@ -0,0 +1,29 @@ +#pragma kernel CSMain + +RWStructuredBuffer psiIn; +RWTexture2D result; +int resolution; + +float2 psi(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psiIn[x + resolution * y]; +} + +[numthreads(32,32,1)] +void CSMain (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + result[id.xy] = float4(0, 0, 0, 1.0f); + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi(id.x + 1, id.y) - 2 * psi(id.x, id.y) + psi(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi(id.x, id.y + 1) - 2 * psi(id.x, id.y) + psi(id.x, id.y - 1)) / (dx * dx); + // result[id.xy] = float4(d2PsiByDx2.x, d2PsiByDy2.x, 0, 1); + float2 _psi = psiIn[id.x + resolution * id.y]; + // result[id.xy] = float4(_psi.x + 0.5, _psi.y + 0.5, 0, 1.0f); + // result[id.xy] = float4(intensity * (_psi.x+0.5), intensity * (_psi.y + 0.5), intensity, 1.0f); + float intensity = _psi.x*_psi.x + _psi.y*_psi.y; + result[id.xy] = float4(intensity, intensity, intensity, 1.0f); +} diff --git a/Assets/Shaders/Visualization.compute.meta b/Assets/Shaders/Visualization.compute.meta new file mode 100644 index 0000000..dab1c8b --- /dev/null +++ b/Assets/Shaders/Visualization.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: c949a119cc67aa347a6c6df53f77ffdf +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Packages/manifest.json b/Packages/manifest.json new file mode 100644 index 0000000..89ebb8f --- /dev/null +++ b/Packages/manifest.json @@ -0,0 +1,49 @@ +{ + "dependencies": { + "com.unity.2d.animation": "5.0.10", + "com.unity.2d.pixel-perfect": "4.0.1", + "com.unity.2d.psdimporter": "4.1.3", + "com.unity.2d.sprite": "1.0.0", + "com.unity.2d.spriteshape": "5.1.7", + "com.unity.2d.tilemap": "1.0.0", + "com.unity.collab-proxy": "1.15.7", + "com.unity.ide.rider": "2.0.7", + 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visualization; + public RenderTexture texture; + public ComputeBuffer psi, potential; + public int resolution = 512; + public int speed = 100; + public Text time; + public int elapsedTime = 0; + + private void Start() { + psi = new ComputeBuffer(resolution * resolution * 8, 8); + // GC.KeepAlive(psiOld); + potential = new ComputeBuffer(resolution * resolution * 4, 4); + + texture = new RenderTexture(resolution, resolution, 2); + texture.enableRandomWrite = true; + texture.Create(); + + int kernel = schrodinger.FindKernel("initialize"); + schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int kernel = schrodinger.FindKernel("process"); + schrodinger.SetInt("speed", speed); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + for (int i = 0; i < speed; i++) { + schrodinger.Dispatch(kernel, 8, 8, 1); + } + elapsedTime += speed; + time.text = string.Format("time: {0} us", (float)elapsedTime / 200); + visualization.SetBuffer(0, "psiIn", psi); + visualization.SetTexture(0, "result", texture); + visualization.Dispatch(0, 8, 8, 1); + } + + private void OnRenderImage(RenderTexture before, RenderTexture destination) { + Graphics.Blit(texture, destination); + } +} diff --git a/Assets/Scripts/Display.cs.meta b/Assets/Scripts/Display.cs.meta new file mode 100644 index 0000000..78f9f60 --- /dev/null +++ b/Assets/Scripts/Display.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: c147d2d32f2189545bd8eb6e93fad190 +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders.meta b/Assets/Shaders.meta new file mode 100644 index 0000000..2d603bb --- /dev/null +++ b/Assets/Shaders.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: b51f1d57807a92c4b86406339fdac8dc +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/SchrodingerCompute.compute b/Assets/Shaders/SchrodingerCompute.compute new file mode 100644 index 0000000..91bf1cb --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute @@ -0,0 +1,58 @@ +#pragma kernel process +#pragma kernel initialize + +RWStructuredBuffer psi; +RWStructuredBuffer potential; + +int resolution; +static const float PI = 3.14159265; +static const float dt = 1e-9; +int speed; + +float V(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 1e11; + } + return -5e5 * potential[x + resolution * y]; +} + +float2 psi_(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psi[x + resolution * y]; +} + +float2 timesI(float2 number) { + return float2(-number.y, number.x); +} + +[numthreads(32,32,1)] +void process (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi_(id.x + 1, id.y) - 2 * psi_(id.x, id.y) + psi_(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi_(id.x, id.y + 1) - 2 * psi_(id.x, id.y) + psi_(id.x, id.y - 1)) / (dx * dx); + float2 dPsiByDt = timesI((d2PsiByDx2 + d2PsiByDy2) - psi_(id.x, id.y) * V(id.x, id.y)); + float2 result = psi[id.x + resolution * id.y] + dPsiByDt * dt; + GroupMemoryBarrierWithGroupSync(); + psi[id.x + resolution * id.y] = result; +} + +static const float mu = 0.5; +static const float sigma = 0.05; + +[numthreads(32,32,1)] +void initialize(uint3 id: SV_DispatchThreadID) { + float x = (float) id.x / resolution; + float y = (float) id.y / resolution; + if (x >= 0.25 && x <= 0.75) { + psi[id.x + resolution * id.y] = float2(sin(4*PI*(x-0.25)), sin(4*PI*(x-0.125))) * sin(2*PI*(x-0.25)) * sin(PI*y); + } else { + psi[id.x + resolution*id.y] = float2(0, 0); + } + // psi[id.x + resolution * id.y] = float2((sin(16*x*PI)) * sin(y * PI), 0) * 0.5; + potential[id.x + resolution * id.y] = 0; // exp(-(x-mu)*(x-mu) / (2*sigma*sigma)); +} \ No newline at end of file diff --git a/Assets/Shaders/SchrodingerCompute.compute.meta b/Assets/Shaders/SchrodingerCompute.compute.meta new file mode 100644 index 0000000..8f4d570 --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 979c7135e7e183e43bf950b33bf979d1 +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/Visualization.compute b/Assets/Shaders/Visualization.compute new file mode 100644 index 0000000..538f40e --- /dev/null +++ b/Assets/Shaders/Visualization.compute @@ -0,0 +1,29 @@ +#pragma kernel CSMain + +RWStructuredBuffer psiIn; +RWTexture2D result; +int resolution; + +float2 psi(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psiIn[x + resolution * y]; +} + +[numthreads(32,32,1)] +void CSMain (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + result[id.xy] = float4(0, 0, 0, 1.0f); + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi(id.x + 1, id.y) - 2 * psi(id.x, id.y) + psi(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi(id.x, id.y + 1) - 2 * psi(id.x, id.y) + psi(id.x, id.y - 1)) / (dx * dx); + // result[id.xy] = float4(d2PsiByDx2.x, d2PsiByDy2.x, 0, 1); + float2 _psi = psiIn[id.x + resolution * id.y]; + // result[id.xy] = float4(_psi.x + 0.5, _psi.y + 0.5, 0, 1.0f); + // result[id.xy] = float4(intensity * (_psi.x+0.5), intensity * (_psi.y + 0.5), intensity, 1.0f); + float intensity = _psi.x*_psi.x + _psi.y*_psi.y; + result[id.xy] = float4(intensity, intensity, intensity, 1.0f); +} diff --git a/Assets/Shaders/Visualization.compute.meta b/Assets/Shaders/Visualization.compute.meta new file mode 100644 index 0000000..dab1c8b --- /dev/null +++ b/Assets/Shaders/Visualization.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: c949a119cc67aa347a6c6df53f77ffdf +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Packages/manifest.json b/Packages/manifest.json new file mode 100644 index 0000000..89ebb8f --- /dev/null +++ b/Packages/manifest.json @@ -0,0 +1,49 @@ +{ + "dependencies": { + "com.unity.2d.animation": "5.0.10", + "com.unity.2d.pixel-perfect": "4.0.1", + "com.unity.2d.psdimporter": "4.1.3", + "com.unity.2d.sprite": "1.0.0", + "com.unity.2d.spriteshape": "5.1.7", + "com.unity.2d.tilemap": "1.0.0", + "com.unity.collab-proxy": "1.15.7", + "com.unity.ide.rider": "2.0.7", + 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RenderTexture(resolution, resolution, 2); + texture.enableRandomWrite = true; + texture.Create(); + + int kernel = schrodinger.FindKernel("initialize"); + schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int kernel = schrodinger.FindKernel("process"); + schrodinger.SetInt("speed", speed); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + for (int i = 0; i < speed; i++) { + schrodinger.Dispatch(kernel, 8, 8, 1); + } + elapsedTime += speed; + time.text = string.Format("time: {0} us", (float)elapsedTime / 200); + visualization.SetBuffer(0, "psiIn", psi); + visualization.SetTexture(0, "result", texture); + visualization.Dispatch(0, 8, 8, 1); + } + + private void OnRenderImage(RenderTexture before, RenderTexture destination) { + Graphics.Blit(texture, destination); + } +} diff --git a/Assets/Scripts/Display.cs.meta b/Assets/Scripts/Display.cs.meta new file mode 100644 index 0000000..78f9f60 --- /dev/null +++ b/Assets/Scripts/Display.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: c147d2d32f2189545bd8eb6e93fad190 +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders.meta b/Assets/Shaders.meta new file mode 100644 index 0000000..2d603bb --- /dev/null +++ b/Assets/Shaders.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: b51f1d57807a92c4b86406339fdac8dc +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/SchrodingerCompute.compute b/Assets/Shaders/SchrodingerCompute.compute new file mode 100644 index 0000000..91bf1cb --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute @@ -0,0 +1,58 @@ +#pragma kernel process +#pragma kernel initialize + +RWStructuredBuffer psi; +RWStructuredBuffer potential; + +int resolution; +static const float PI = 3.14159265; +static const float dt = 1e-9; +int speed; + +float V(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 1e11; + } + return -5e5 * potential[x + resolution * y]; +} + +float2 psi_(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psi[x + resolution * y]; +} + +float2 timesI(float2 number) { + return float2(-number.y, number.x); +} + +[numthreads(32,32,1)] +void process (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi_(id.x + 1, id.y) - 2 * psi_(id.x, id.y) + psi_(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi_(id.x, id.y + 1) - 2 * psi_(id.x, id.y) + psi_(id.x, id.y - 1)) / (dx * dx); + float2 dPsiByDt = timesI((d2PsiByDx2 + d2PsiByDy2) - psi_(id.x, id.y) * V(id.x, id.y)); + float2 result = psi[id.x + resolution * id.y] + dPsiByDt * dt; + GroupMemoryBarrierWithGroupSync(); + psi[id.x + resolution * id.y] = result; +} + +static const float mu = 0.5; +static const float sigma = 0.05; + +[numthreads(32,32,1)] +void initialize(uint3 id: SV_DispatchThreadID) { + float x = (float) id.x / resolution; + float y = (float) id.y / resolution; + if (x >= 0.25 && x <= 0.75) { + psi[id.x + resolution * id.y] = float2(sin(4*PI*(x-0.25)), sin(4*PI*(x-0.125))) * sin(2*PI*(x-0.25)) * sin(PI*y); + } else { + psi[id.x + resolution*id.y] = float2(0, 0); + } + // psi[id.x + resolution * id.y] = float2((sin(16*x*PI)) * sin(y * PI), 0) * 0.5; + potential[id.x + resolution * id.y] = 0; // exp(-(x-mu)*(x-mu) / (2*sigma*sigma)); +} \ No newline at end of file diff --git a/Assets/Shaders/SchrodingerCompute.compute.meta b/Assets/Shaders/SchrodingerCompute.compute.meta new file mode 100644 index 0000000..8f4d570 --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 979c7135e7e183e43bf950b33bf979d1 +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/Visualization.compute b/Assets/Shaders/Visualization.compute new file mode 100644 index 0000000..538f40e --- /dev/null +++ b/Assets/Shaders/Visualization.compute @@ -0,0 +1,29 @@ +#pragma kernel CSMain + +RWStructuredBuffer psiIn; +RWTexture2D result; +int resolution; + +float2 psi(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psiIn[x + resolution * y]; +} + +[numthreads(32,32,1)] +void CSMain (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + result[id.xy] = float4(0, 0, 0, 1.0f); + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi(id.x + 1, id.y) - 2 * psi(id.x, id.y) + psi(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi(id.x, id.y + 1) - 2 * psi(id.x, id.y) + psi(id.x, id.y - 1)) / (dx * dx); + // result[id.xy] = float4(d2PsiByDx2.x, d2PsiByDy2.x, 0, 1); + float2 _psi = psiIn[id.x + resolution * id.y]; + // result[id.xy] = float4(_psi.x + 0.5, _psi.y + 0.5, 0, 1.0f); + // result[id.xy] = float4(intensity * (_psi.x+0.5), intensity * (_psi.y + 0.5), intensity, 1.0f); + float intensity = _psi.x*_psi.x + _psi.y*_psi.y; + result[id.xy] = float4(intensity, intensity, intensity, 1.0f); +} diff --git a/Assets/Shaders/Visualization.compute.meta b/Assets/Shaders/Visualization.compute.meta new file mode 100644 index 0000000..dab1c8b --- /dev/null +++ b/Assets/Shaders/Visualization.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: c949a119cc67aa347a6c6df53f77ffdf +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Packages/manifest.json b/Packages/manifest.json new file mode 100644 index 0000000..89ebb8f --- /dev/null +++ b/Packages/manifest.json @@ -0,0 +1,49 @@ +{ + "dependencies": { + "com.unity.2d.animation": "5.0.10", + "com.unity.2d.pixel-perfect": "4.0.1", + "com.unity.2d.psdimporter": "4.1.3", + "com.unity.2d.sprite": "1.0.0", + "com.unity.2d.spriteshape": "5.1.7", + "com.unity.2d.tilemap": "1.0.0", + "com.unity.collab-proxy": "1.15.7", + "com.unity.ide.rider": "2.0.7", + "com.unity.ide.visualstudio": "2.0.12", + "com.unity.ide.vscode": "1.2.4", + "com.unity.test-framework": "1.1.29", + "com.unity.textmeshpro": "3.0.6", + "com.unity.timeline": "1.4.8", + "com.unity.ugui": "1.0.0", + "com.unity.modules.ai": "1.0.0", + "com.unity.modules.androidjni": "1.0.0", + "com.unity.modules.animation": "1.0.0", + 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b/Assets/Scripts.meta new file mode 100644 index 0000000..928f668 --- /dev/null +++ b/Assets/Scripts.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: 3b2a313ca00408e4bb29a0479cbcf610 +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Scripts/Display.cs b/Assets/Scripts/Display.cs new file mode 100644 index 0000000..b0dc5ba --- /dev/null +++ b/Assets/Scripts/Display.cs @@ -0,0 +1,51 @@ +using System.Collections; +using System.Collections.Generic; +using UnityEngine; +using UnityEngine.UI; + +public class Display : MonoBehaviour +{ + public ComputeShader schrodinger, visualization; + public RenderTexture texture; + public ComputeBuffer psi, potential; + public int resolution = 512; + public int speed = 100; + public Text time; + public int elapsedTime = 0; + + private void Start() { + psi = new ComputeBuffer(resolution * resolution * 8, 8); + // GC.KeepAlive(psiOld); + potential = new ComputeBuffer(resolution * resolution * 4, 4); + + texture = new RenderTexture(resolution, resolution, 2); + texture.enableRandomWrite = true; + texture.Create(); + + int kernel = schrodinger.FindKernel("initialize"); + schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int kernel = schrodinger.FindKernel("process"); + schrodinger.SetInt("speed", speed); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + for (int i = 0; i < speed; i++) { + schrodinger.Dispatch(kernel, 8, 8, 1); + } + elapsedTime += speed; + time.text = string.Format("time: {0} us", (float)elapsedTime / 200); + visualization.SetBuffer(0, "psiIn", psi); + visualization.SetTexture(0, "result", texture); + visualization.Dispatch(0, 8, 8, 1); + } + + private void OnRenderImage(RenderTexture before, RenderTexture destination) { + Graphics.Blit(texture, destination); + } +} diff --git a/Assets/Scripts/Display.cs.meta b/Assets/Scripts/Display.cs.meta new file mode 100644 index 0000000..78f9f60 --- /dev/null +++ b/Assets/Scripts/Display.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: c147d2d32f2189545bd8eb6e93fad190 +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders.meta b/Assets/Shaders.meta new file mode 100644 index 0000000..2d603bb --- /dev/null +++ b/Assets/Shaders.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: b51f1d57807a92c4b86406339fdac8dc +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/SchrodingerCompute.compute b/Assets/Shaders/SchrodingerCompute.compute new file mode 100644 index 0000000..91bf1cb --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute @@ -0,0 +1,58 @@ +#pragma kernel process +#pragma kernel initialize + +RWStructuredBuffer psi; +RWStructuredBuffer potential; + +int resolution; +static const float PI = 3.14159265; +static const float dt = 1e-9; +int speed; + +float V(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 1e11; + } + return -5e5 * potential[x + resolution * y]; +} + +float2 psi_(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psi[x + resolution * y]; +} + +float2 timesI(float2 number) { + return float2(-number.y, number.x); +} + +[numthreads(32,32,1)] +void process (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi_(id.x + 1, id.y) - 2 * psi_(id.x, id.y) + psi_(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi_(id.x, id.y + 1) - 2 * psi_(id.x, id.y) + psi_(id.x, id.y - 1)) / (dx * dx); + float2 dPsiByDt = timesI((d2PsiByDx2 + d2PsiByDy2) - psi_(id.x, id.y) * V(id.x, id.y)); + float2 result = psi[id.x + resolution * id.y] + dPsiByDt * dt; + GroupMemoryBarrierWithGroupSync(); + psi[id.x + resolution * id.y] = result; +} + +static const float mu = 0.5; +static const float sigma = 0.05; + +[numthreads(32,32,1)] +void initialize(uint3 id: SV_DispatchThreadID) { + float x = (float) id.x / resolution; + float y = (float) id.y / resolution; + if (x >= 0.25 && x <= 0.75) { + psi[id.x + resolution * id.y] = float2(sin(4*PI*(x-0.25)), sin(4*PI*(x-0.125))) * sin(2*PI*(x-0.25)) * sin(PI*y); + } else { + psi[id.x + resolution*id.y] = float2(0, 0); + } + // psi[id.x + resolution * id.y] = float2((sin(16*x*PI)) * sin(y * PI), 0) * 0.5; + potential[id.x + resolution * id.y] = 0; // exp(-(x-mu)*(x-mu) / (2*sigma*sigma)); +} \ No newline at end of file diff --git a/Assets/Shaders/SchrodingerCompute.compute.meta b/Assets/Shaders/SchrodingerCompute.compute.meta new file mode 100644 index 0000000..8f4d570 --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 979c7135e7e183e43bf950b33bf979d1 +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/Visualization.compute b/Assets/Shaders/Visualization.compute new file mode 100644 index 0000000..538f40e --- /dev/null +++ b/Assets/Shaders/Visualization.compute @@ -0,0 +1,29 @@ +#pragma kernel CSMain + +RWStructuredBuffer psiIn; +RWTexture2D result; +int resolution; + +float2 psi(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psiIn[x + resolution * y]; +} + +[numthreads(32,32,1)] +void CSMain (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + result[id.xy] = float4(0, 0, 0, 1.0f); + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi(id.x + 1, id.y) - 2 * psi(id.x, id.y) + psi(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi(id.x, id.y + 1) - 2 * psi(id.x, id.y) + psi(id.x, id.y - 1)) / (dx * dx); + // result[id.xy] = float4(d2PsiByDx2.x, d2PsiByDy2.x, 0, 1); + float2 _psi = psiIn[id.x + resolution * id.y]; + // result[id.xy] = float4(_psi.x + 0.5, _psi.y + 0.5, 0, 1.0f); + // result[id.xy] = float4(intensity * (_psi.x+0.5), intensity * (_psi.y + 0.5), intensity, 1.0f); + float intensity = _psi.x*_psi.x + _psi.y*_psi.y; + result[id.xy] = float4(intensity, intensity, intensity, 1.0f); +} diff --git a/Assets/Shaders/Visualization.compute.meta b/Assets/Shaders/Visualization.compute.meta new file mode 100644 index 0000000..dab1c8b --- /dev/null +++ b/Assets/Shaders/Visualization.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 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a/ProjectSettings/ClusterInputManager.asset b/ProjectSettings/ClusterInputManager.asset new file mode 100644 index 0000000..e7886b2 --- /dev/null +++ b/ProjectSettings/ClusterInputManager.asset @@ -0,0 +1,6 @@ +%YAML 1.1 +%TAG !u! tag:unity3d.com,2011: +--- !u!236 &1 +ClusterInputManager: + m_ObjectHideFlags: 0 + m_Inputs: [] diff --git a/ProjectSettings/DynamicsManager.asset b/ProjectSettings/DynamicsManager.asset new file mode 100644 index 0000000..fc90ab9 --- /dev/null +++ b/ProjectSettings/DynamicsManager.asset @@ -0,0 +1,36 @@ +%YAML 1.1 +%TAG !u! tag:unity3d.com,2011: +--- !u!55 &1 +PhysicsManager: + m_ObjectHideFlags: 0 + serializedVersion: 13 + m_Gravity: {x: 0, y: -9.81, z: 0} + m_DefaultMaterial: {fileID: 0} + m_BounceThreshold: 2 + m_SleepThreshold: 0.005 + m_DefaultContactOffset: 0.01 + m_DefaultSolverIterations: 6 + m_DefaultSolverVelocityIterations: 1 + m_QueriesHitBackfaces: 0 + m_QueriesHitTriggers: 1 + m_EnableAdaptiveForce: 0 + m_ClothInterCollisionDistance: 0.1 + 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+using UnityEngine; +using UnityEngine.UI; + +public class Display : MonoBehaviour +{ + public ComputeShader schrodinger, visualization; + public RenderTexture texture; + public ComputeBuffer psi, potential; + public int resolution = 512; + public int speed = 100; + public Text time; + public int elapsedTime = 0; + + private void Start() { + psi = new ComputeBuffer(resolution * resolution * 8, 8); + // GC.KeepAlive(psiOld); + potential = new ComputeBuffer(resolution * resolution * 4, 4); + + texture = new RenderTexture(resolution, resolution, 2); + texture.enableRandomWrite = true; + texture.Create(); + + int kernel = schrodinger.FindKernel("initialize"); + schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int kernel = schrodinger.FindKernel("process"); + 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assetBundleVariant: diff --git a/Assets/Shaders.meta b/Assets/Shaders.meta new file mode 100644 index 0000000..2d603bb --- /dev/null +++ b/Assets/Shaders.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: b51f1d57807a92c4b86406339fdac8dc +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/SchrodingerCompute.compute b/Assets/Shaders/SchrodingerCompute.compute new file mode 100644 index 0000000..91bf1cb --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute @@ -0,0 +1,58 @@ +#pragma kernel process +#pragma kernel initialize + +RWStructuredBuffer psi; +RWStructuredBuffer potential; + +int resolution; +static const float PI = 3.14159265; +static const float dt = 1e-9; +int speed; + +float V(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 1e11; + } + return -5e5 * potential[x + resolution * y]; +} + +float2 psi_(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psi[x + resolution * y]; +} + +float2 timesI(float2 number) { + return float2(-number.y, number.x); +} + +[numthreads(32,32,1)] +void process (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi_(id.x + 1, id.y) - 2 * psi_(id.x, id.y) + psi_(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi_(id.x, id.y + 1) - 2 * psi_(id.x, id.y) + psi_(id.x, id.y - 1)) / (dx * dx); + float2 dPsiByDt = timesI((d2PsiByDx2 + d2PsiByDy2) - psi_(id.x, id.y) * V(id.x, id.y)); + float2 result = psi[id.x + resolution * id.y] + dPsiByDt * dt; + GroupMemoryBarrierWithGroupSync(); + psi[id.x + resolution * id.y] = result; +} + +static const float mu = 0.5; +static const float sigma = 0.05; + +[numthreads(32,32,1)] +void initialize(uint3 id: SV_DispatchThreadID) { + float x = (float) id.x / resolution; + float y = (float) id.y / resolution; + if (x >= 0.25 && x <= 0.75) { + psi[id.x + resolution * id.y] = float2(sin(4*PI*(x-0.25)), sin(4*PI*(x-0.125))) * sin(2*PI*(x-0.25)) * sin(PI*y); + } else { + psi[id.x + resolution*id.y] = float2(0, 0); + } + // psi[id.x + resolution * id.y] = float2((sin(16*x*PI)) * sin(y * PI), 0) * 0.5; + potential[id.x + resolution * id.y] = 0; // exp(-(x-mu)*(x-mu) / (2*sigma*sigma)); +} \ No newline at end of file diff --git a/Assets/Shaders/SchrodingerCompute.compute.meta b/Assets/Shaders/SchrodingerCompute.compute.meta new file mode 100644 index 0000000..8f4d570 --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 979c7135e7e183e43bf950b33bf979d1 +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/Visualization.compute b/Assets/Shaders/Visualization.compute new file mode 100644 index 0000000..538f40e --- /dev/null +++ b/Assets/Shaders/Visualization.compute @@ -0,0 +1,29 @@ +#pragma kernel CSMain + +RWStructuredBuffer psiIn; +RWTexture2D result; +int resolution; + +float2 psi(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psiIn[x + resolution * y]; +} + +[numthreads(32,32,1)] +void CSMain (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + result[id.xy] = float4(0, 0, 0, 1.0f); + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi(id.x + 1, id.y) - 2 * psi(id.x, id.y) + psi(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi(id.x, id.y + 1) - 2 * psi(id.x, id.y) + psi(id.x, id.y - 1)) / (dx * dx); + // result[id.xy] = float4(d2PsiByDx2.x, d2PsiByDy2.x, 0, 1); + float2 _psi = psiIn[id.x + resolution * id.y]; + // result[id.xy] = float4(_psi.x + 0.5, _psi.y + 0.5, 0, 1.0f); + // result[id.xy] = float4(intensity * (_psi.x+0.5), intensity * (_psi.y + 0.5), intensity, 1.0f); + float intensity = _psi.x*_psi.x + _psi.y*_psi.y; + result[id.xy] = float4(intensity, intensity, intensity, 1.0f); +} diff --git a/Assets/Shaders/Visualization.compute.meta b/Assets/Shaders/Visualization.compute.meta new file mode 100644 index 0000000..dab1c8b --- /dev/null +++ b/Assets/Shaders/Visualization.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: c949a119cc67aa347a6c6df53f77ffdf +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Packages/manifest.json b/Packages/manifest.json new file mode 100644 index 0000000..89ebb8f --- /dev/null +++ b/Packages/manifest.json @@ -0,0 +1,49 @@ +{ + "dependencies": { + "com.unity.2d.animation": "5.0.10", + "com.unity.2d.pixel-perfect": "4.0.1", + "com.unity.2d.psdimporter": "4.1.3", + "com.unity.2d.sprite": "1.0.0", + "com.unity.2d.spriteshape": 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tag:unity3d.com,2011: +--- !u!11 &1 +AudioManager: + m_ObjectHideFlags: 0 + serializedVersion: 2 + m_Volume: 1 + Rolloff Scale: 1 + Doppler Factor: 1 + Default Speaker Mode: 2 + m_SampleRate: 0 + m_DSPBufferSize: 1024 + m_VirtualVoiceCount: 512 + m_RealVoiceCount: 32 + m_SpatializerPlugin: + m_AmbisonicDecoderPlugin: + m_DisableAudio: 0 + m_VirtualizeEffects: 1 + m_RequestedDSPBufferSize: 0 diff --git a/ProjectSettings/ClusterInputManager.asset b/ProjectSettings/ClusterInputManager.asset new file mode 100644 index 0000000..e7886b2 --- /dev/null +++ b/ProjectSettings/ClusterInputManager.asset @@ -0,0 +1,6 @@ +%YAML 1.1 +%TAG !u! tag:unity3d.com,2011: +--- !u!236 &1 +ClusterInputManager: + m_ObjectHideFlags: 0 + m_Inputs: [] diff --git a/ProjectSettings/DynamicsManager.asset b/ProjectSettings/DynamicsManager.asset new file mode 100644 index 0000000..fc90ab9 --- /dev/null +++ b/ProjectSettings/DynamicsManager.asset @@ -0,0 +1,36 @@ +%YAML 1.1 +%TAG !u! tag:unity3d.com,2011: +--- !u!55 &1 +PhysicsManager: + m_ObjectHideFlags: 0 + serializedVersion: 13 + m_Gravity: {x: 0, y: -9.81, z: 0} + m_DefaultMaterial: {fileID: 0} + m_BounceThreshold: 2 + m_SleepThreshold: 0.005 + m_DefaultContactOffset: 0.01 + m_DefaultSolverIterations: 6 + m_DefaultSolverVelocityIterations: 1 + m_QueriesHitBackfaces: 0 + m_QueriesHitTriggers: 1 + m_EnableAdaptiveForce: 0 + m_ClothInterCollisionDistance: 0.1 + m_ClothInterCollisionStiffness: 0.2 + m_ContactsGeneration: 1 + m_LayerCollisionMatrix: ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff + m_AutoSimulation: 1 + m_AutoSyncTransforms: 0 + m_ReuseCollisionCallbacks: 1 + m_ClothInterCollisionSettingsToggle: 0 + m_ClothGravity: {x: 0, y: -9.81, z: 0} + m_ContactPairsMode: 0 + m_BroadphaseType: 0 + m_WorldBounds: + m_Center: {x: 0, y: 0, z: 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b/Assets/Scenes/SampleScene.unity.meta new file mode 100644 index 0000000..c1e3c88 --- /dev/null +++ b/Assets/Scenes/SampleScene.unity.meta @@ -0,0 +1,7 @@ +fileFormatVersion: 2 +guid: 2cda990e2423bbf4892e6590ba056729 +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Scripts.meta b/Assets/Scripts.meta new file mode 100644 index 0000000..928f668 --- /dev/null +++ b/Assets/Scripts.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: 3b2a313ca00408e4bb29a0479cbcf610 +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Scripts/Display.cs b/Assets/Scripts/Display.cs new file mode 100644 index 0000000..b0dc5ba --- /dev/null +++ b/Assets/Scripts/Display.cs @@ -0,0 +1,51 @@ +using System.Collections; +using System.Collections.Generic; +using UnityEngine; +using UnityEngine.UI; + +public class Display : MonoBehaviour +{ + public ComputeShader schrodinger, visualization; + public RenderTexture texture; + public ComputeBuffer psi, potential; + public int resolution = 512; + public int speed = 100; + public Text time; + public int elapsedTime = 0; + + private void Start() { + psi = new ComputeBuffer(resolution * resolution * 8, 8); + // GC.KeepAlive(psiOld); + potential = new ComputeBuffer(resolution * resolution * 4, 4); + + texture = new RenderTexture(resolution, resolution, 2); + texture.enableRandomWrite = true; + texture.Create(); + + int kernel = schrodinger.FindKernel("initialize"); + schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int kernel = schrodinger.FindKernel("process"); + schrodinger.SetInt("speed", speed); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + for (int i = 0; i < speed; i++) { + schrodinger.Dispatch(kernel, 8, 8, 1); + } + elapsedTime += speed; + time.text = string.Format("time: {0} us", (float)elapsedTime / 200); + visualization.SetBuffer(0, "psiIn", psi); + visualization.SetTexture(0, "result", texture); + visualization.Dispatch(0, 8, 8, 1); + } + + private void OnRenderImage(RenderTexture before, RenderTexture destination) { + Graphics.Blit(texture, destination); + } +} diff --git a/Assets/Scripts/Display.cs.meta b/Assets/Scripts/Display.cs.meta new file mode 100644 index 0000000..78f9f60 --- /dev/null +++ b/Assets/Scripts/Display.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: c147d2d32f2189545bd8eb6e93fad190 +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders.meta b/Assets/Shaders.meta new file mode 100644 index 0000000..2d603bb --- /dev/null +++ b/Assets/Shaders.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: b51f1d57807a92c4b86406339fdac8dc +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/SchrodingerCompute.compute b/Assets/Shaders/SchrodingerCompute.compute new file mode 100644 index 0000000..91bf1cb --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute @@ -0,0 +1,58 @@ +#pragma kernel process +#pragma kernel initialize + +RWStructuredBuffer psi; +RWStructuredBuffer potential; + +int resolution; +static const float PI = 3.14159265; +static const float dt = 1e-9; +int speed; + +float V(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 1e11; + } + return -5e5 * potential[x + resolution * y]; +} + +float2 psi_(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psi[x + resolution * y]; +} + +float2 timesI(float2 number) { + return float2(-number.y, number.x); +} + +[numthreads(32,32,1)] +void process (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi_(id.x + 1, id.y) - 2 * psi_(id.x, id.y) + psi_(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi_(id.x, id.y + 1) - 2 * psi_(id.x, id.y) + psi_(id.x, id.y - 1)) / (dx * dx); + float2 dPsiByDt = timesI((d2PsiByDx2 + d2PsiByDy2) - psi_(id.x, id.y) * V(id.x, id.y)); + float2 result = psi[id.x + resolution * id.y] + dPsiByDt * dt; + GroupMemoryBarrierWithGroupSync(); + psi[id.x + resolution * id.y] = result; +} + +static const float mu = 0.5; +static const float sigma = 0.05; + +[numthreads(32,32,1)] +void initialize(uint3 id: SV_DispatchThreadID) { + float x = (float) id.x / resolution; + float y = (float) id.y / resolution; + if (x >= 0.25 && x <= 0.75) { + psi[id.x + resolution * id.y] = float2(sin(4*PI*(x-0.25)), sin(4*PI*(x-0.125))) * sin(2*PI*(x-0.25)) * sin(PI*y); + } else { + psi[id.x + resolution*id.y] = float2(0, 0); + } + // psi[id.x + resolution * id.y] = float2((sin(16*x*PI)) * sin(y * PI), 0) * 0.5; + potential[id.x + resolution * id.y] = 0; // exp(-(x-mu)*(x-mu) / (2*sigma*sigma)); +} \ No newline at end of file diff --git a/Assets/Shaders/SchrodingerCompute.compute.meta b/Assets/Shaders/SchrodingerCompute.compute.meta new file mode 100644 index 0000000..8f4d570 --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 979c7135e7e183e43bf950b33bf979d1 +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/Visualization.compute b/Assets/Shaders/Visualization.compute new file mode 100644 index 0000000..538f40e --- /dev/null +++ b/Assets/Shaders/Visualization.compute @@ -0,0 +1,29 @@ +#pragma kernel CSMain + +RWStructuredBuffer psiIn; +RWTexture2D result; +int resolution; + +float2 psi(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psiIn[x + resolution * y]; +} + +[numthreads(32,32,1)] +void CSMain (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + result[id.xy] = float4(0, 0, 0, 1.0f); + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi(id.x + 1, id.y) - 2 * psi(id.x, id.y) + psi(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi(id.x, id.y + 1) - 2 * psi(id.x, id.y) + psi(id.x, id.y - 1)) / (dx * dx); + // result[id.xy] = float4(d2PsiByDx2.x, d2PsiByDy2.x, 0, 1); + float2 _psi = psiIn[id.x + resolution * id.y]; + // result[id.xy] = float4(_psi.x + 0.5, _psi.y + 0.5, 0, 1.0f); + // result[id.xy] = float4(intensity * (_psi.x+0.5), intensity * (_psi.y + 0.5), intensity, 1.0f); + float intensity = _psi.x*_psi.x + _psi.y*_psi.y; + result[id.xy] = float4(intensity, intensity, intensity, 1.0f); +} diff --git a/Assets/Shaders/Visualization.compute.meta b/Assets/Shaders/Visualization.compute.meta new file mode 100644 index 0000000..dab1c8b --- /dev/null +++ b/Assets/Shaders/Visualization.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: c949a119cc67aa347a6c6df53f77ffdf +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Packages/manifest.json b/Packages/manifest.json new file mode 100644 index 0000000..89ebb8f --- /dev/null +++ b/Packages/manifest.json @@ -0,0 +1,49 @@ +{ + "dependencies": { + "com.unity.2d.animation": "5.0.10", + "com.unity.2d.pixel-perfect": "4.0.1", + "com.unity.2d.psdimporter": "4.1.3", + "com.unity.2d.sprite": "1.0.0", + "com.unity.2d.spriteshape": "5.1.7", + "com.unity.2d.tilemap": "1.0.0", + "com.unity.collab-proxy": "1.15.7", + "com.unity.ide.rider": "2.0.7", + 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b/Assets/Scripts/Display.cs @@ -0,0 +1,51 @@ +using System.Collections; +using System.Collections.Generic; +using UnityEngine; +using UnityEngine.UI; + +public class Display : MonoBehaviour +{ + public ComputeShader schrodinger, visualization; + public RenderTexture texture; + public ComputeBuffer psi, potential; + public int resolution = 512; + public int speed = 100; + public Text time; + public int elapsedTime = 0; + + private void Start() { + psi = new ComputeBuffer(resolution * resolution * 8, 8); + // GC.KeepAlive(psiOld); + potential = new ComputeBuffer(resolution * resolution * 4, 4); + + texture = new RenderTexture(resolution, resolution, 2); + texture.enableRandomWrite = true; + texture.Create(); + + int kernel = schrodinger.FindKernel("initialize"); + schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int kernel = schrodinger.FindKernel("process"); + schrodinger.SetInt("speed", speed); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + for (int i = 0; i < speed; i++) { + schrodinger.Dispatch(kernel, 8, 8, 1); + } + elapsedTime += speed; + time.text = string.Format("time: {0} us", (float)elapsedTime / 200); + visualization.SetBuffer(0, "psiIn", psi); + visualization.SetTexture(0, "result", texture); + visualization.Dispatch(0, 8, 8, 1); + } + + private void OnRenderImage(RenderTexture before, RenderTexture destination) { + Graphics.Blit(texture, destination); + } +} diff --git a/Assets/Scripts/Display.cs.meta b/Assets/Scripts/Display.cs.meta new file mode 100644 index 0000000..78f9f60 --- /dev/null +++ b/Assets/Scripts/Display.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: c147d2d32f2189545bd8eb6e93fad190 +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders.meta b/Assets/Shaders.meta new file mode 100644 index 0000000..2d603bb --- /dev/null +++ b/Assets/Shaders.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: b51f1d57807a92c4b86406339fdac8dc +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/SchrodingerCompute.compute b/Assets/Shaders/SchrodingerCompute.compute new file mode 100644 index 0000000..91bf1cb --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute @@ -0,0 +1,58 @@ +#pragma kernel process +#pragma kernel initialize + +RWStructuredBuffer psi; +RWStructuredBuffer potential; + +int resolution; +static const float PI = 3.14159265; +static const float dt = 1e-9; +int speed; + +float V(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 1e11; + } + return -5e5 * potential[x + resolution * y]; +} + +float2 psi_(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psi[x + resolution * y]; +} + +float2 timesI(float2 number) { + return float2(-number.y, number.x); +} + +[numthreads(32,32,1)] +void process (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi_(id.x + 1, id.y) - 2 * psi_(id.x, id.y) + psi_(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi_(id.x, id.y + 1) - 2 * psi_(id.x, id.y) + psi_(id.x, id.y - 1)) / (dx * dx); + float2 dPsiByDt = timesI((d2PsiByDx2 + d2PsiByDy2) - psi_(id.x, id.y) * V(id.x, id.y)); + float2 result = psi[id.x + resolution * id.y] + dPsiByDt * dt; + GroupMemoryBarrierWithGroupSync(); + psi[id.x + resolution * id.y] = result; +} + +static const float mu = 0.5; +static const float sigma = 0.05; + +[numthreads(32,32,1)] +void initialize(uint3 id: SV_DispatchThreadID) { + float x = (float) id.x / resolution; + float y = (float) id.y / resolution; + if (x >= 0.25 && x <= 0.75) { + psi[id.x + resolution * id.y] = float2(sin(4*PI*(x-0.25)), sin(4*PI*(x-0.125))) * sin(2*PI*(x-0.25)) * sin(PI*y); + } else { + psi[id.x + resolution*id.y] = float2(0, 0); + } + // psi[id.x + resolution * id.y] = float2((sin(16*x*PI)) * sin(y * PI), 0) * 0.5; + potential[id.x + resolution * id.y] = 0; // exp(-(x-mu)*(x-mu) / (2*sigma*sigma)); +} \ No newline at end of file diff --git a/Assets/Shaders/SchrodingerCompute.compute.meta b/Assets/Shaders/SchrodingerCompute.compute.meta new file mode 100644 index 0000000..8f4d570 --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 979c7135e7e183e43bf950b33bf979d1 +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/Visualization.compute b/Assets/Shaders/Visualization.compute new file mode 100644 index 0000000..538f40e --- /dev/null +++ b/Assets/Shaders/Visualization.compute @@ -0,0 +1,29 @@ +#pragma kernel CSMain + +RWStructuredBuffer psiIn; +RWTexture2D result; +int resolution; + +float2 psi(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psiIn[x + resolution * y]; +} + +[numthreads(32,32,1)] +void CSMain (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + result[id.xy] = float4(0, 0, 0, 1.0f); + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi(id.x + 1, id.y) - 2 * psi(id.x, id.y) + psi(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi(id.x, id.y + 1) - 2 * psi(id.x, id.y) + psi(id.x, id.y - 1)) / (dx * dx); + // result[id.xy] = float4(d2PsiByDx2.x, d2PsiByDy2.x, 0, 1); + float2 _psi = psiIn[id.x + resolution * id.y]; + // result[id.xy] = float4(_psi.x + 0.5, _psi.y + 0.5, 0, 1.0f); + // result[id.xy] = float4(intensity * (_psi.x+0.5), intensity * (_psi.y + 0.5), intensity, 1.0f); + float intensity = _psi.x*_psi.x + _psi.y*_psi.y; + result[id.xy] = float4(intensity, intensity, intensity, 1.0f); +} diff --git a/Assets/Shaders/Visualization.compute.meta b/Assets/Shaders/Visualization.compute.meta new file mode 100644 index 0000000..dab1c8b --- /dev/null +++ b/Assets/Shaders/Visualization.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: c949a119cc67aa347a6c6df53f77ffdf +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Packages/manifest.json b/Packages/manifest.json new file mode 100644 index 0000000..89ebb8f --- /dev/null +++ b/Packages/manifest.json @@ -0,0 +1,49 @@ +{ + "dependencies": { + "com.unity.2d.animation": "5.0.10", + 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UnityEngine.UI; + +public class Display : MonoBehaviour +{ + public ComputeShader schrodinger, visualization; + public RenderTexture texture; + public ComputeBuffer psi, potential; + public int resolution = 512; + public int speed = 100; + public Text time; + public int elapsedTime = 0; + + private void Start() { + psi = new ComputeBuffer(resolution * resolution * 8, 8); + // GC.KeepAlive(psiOld); + potential = new ComputeBuffer(resolution * resolution * 4, 4); + + texture = new RenderTexture(resolution, resolution, 2); + texture.enableRandomWrite = true; + texture.Create(); + + int kernel = schrodinger.FindKernel("initialize"); + schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int kernel = schrodinger.FindKernel("process"); + schrodinger.SetInt("speed", speed); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + for (int i = 0; i < speed; i++) { + schrodinger.Dispatch(kernel, 8, 8, 1); + } + elapsedTime += speed; + time.text = string.Format("time: {0} us", (float)elapsedTime / 200); + visualization.SetBuffer(0, "psiIn", psi); + visualization.SetTexture(0, "result", texture); + visualization.Dispatch(0, 8, 8, 1); + } + + private void OnRenderImage(RenderTexture before, RenderTexture destination) { + Graphics.Blit(texture, destination); + } +} diff --git a/Assets/Scripts/Display.cs.meta b/Assets/Scripts/Display.cs.meta new file mode 100644 index 0000000..78f9f60 --- /dev/null +++ b/Assets/Scripts/Display.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: c147d2d32f2189545bd8eb6e93fad190 +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders.meta b/Assets/Shaders.meta new file mode 100644 index 0000000..2d603bb --- /dev/null +++ b/Assets/Shaders.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: b51f1d57807a92c4b86406339fdac8dc +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/SchrodingerCompute.compute b/Assets/Shaders/SchrodingerCompute.compute new file mode 100644 index 0000000..91bf1cb --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute @@ -0,0 +1,58 @@ +#pragma kernel process +#pragma kernel initialize + +RWStructuredBuffer psi; +RWStructuredBuffer potential; + +int resolution; +static const float PI = 3.14159265; +static const float dt = 1e-9; +int speed; + +float V(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 1e11; + } + return -5e5 * potential[x + resolution * y]; +} + +float2 psi_(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psi[x + resolution * y]; +} + +float2 timesI(float2 number) { + return float2(-number.y, number.x); +} + +[numthreads(32,32,1)] +void process (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi_(id.x + 1, id.y) - 2 * psi_(id.x, id.y) + psi_(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi_(id.x, id.y + 1) - 2 * psi_(id.x, id.y) + psi_(id.x, id.y - 1)) / (dx * dx); + float2 dPsiByDt = timesI((d2PsiByDx2 + d2PsiByDy2) - psi_(id.x, id.y) * V(id.x, id.y)); + float2 result = psi[id.x + resolution * id.y] + dPsiByDt * dt; + GroupMemoryBarrierWithGroupSync(); + psi[id.x + resolution * id.y] = result; +} + +static const float mu = 0.5; +static const float sigma = 0.05; + +[numthreads(32,32,1)] +void initialize(uint3 id: SV_DispatchThreadID) { + float x = (float) id.x / resolution; + float y = (float) id.y / resolution; + if (x >= 0.25 && x <= 0.75) { + psi[id.x + resolution * id.y] = float2(sin(4*PI*(x-0.25)), sin(4*PI*(x-0.125))) * sin(2*PI*(x-0.25)) * sin(PI*y); + } else { + psi[id.x + resolution*id.y] = float2(0, 0); + } + // psi[id.x + resolution * id.y] = float2((sin(16*x*PI)) * sin(y * PI), 0) * 0.5; + potential[id.x + resolution * id.y] = 0; // exp(-(x-mu)*(x-mu) / (2*sigma*sigma)); +} \ No newline at end of file diff --git a/Assets/Shaders/SchrodingerCompute.compute.meta b/Assets/Shaders/SchrodingerCompute.compute.meta new file mode 100644 index 0000000..8f4d570 --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 979c7135e7e183e43bf950b33bf979d1 +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/Visualization.compute b/Assets/Shaders/Visualization.compute new file mode 100644 index 0000000..538f40e --- /dev/null +++ b/Assets/Shaders/Visualization.compute @@ -0,0 +1,29 @@ +#pragma kernel CSMain + +RWStructuredBuffer psiIn; +RWTexture2D result; +int resolution; + +float2 psi(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psiIn[x + resolution * y]; +} + +[numthreads(32,32,1)] +void CSMain (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + result[id.xy] = float4(0, 0, 0, 1.0f); + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi(id.x + 1, id.y) - 2 * psi(id.x, id.y) + psi(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi(id.x, id.y + 1) - 2 * psi(id.x, id.y) + psi(id.x, id.y - 1)) / (dx * dx); + // result[id.xy] = float4(d2PsiByDx2.x, d2PsiByDy2.x, 0, 1); + float2 _psi = psiIn[id.x + resolution * id.y]; + // result[id.xy] = float4(_psi.x + 0.5, _psi.y + 0.5, 0, 1.0f); + // result[id.xy] = float4(intensity * (_psi.x+0.5), 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elapsedTime = 0; + + private void Start() { + psi = new ComputeBuffer(resolution * resolution * 8, 8); + // GC.KeepAlive(psiOld); + potential = new ComputeBuffer(resolution * resolution * 4, 4); + + texture = new RenderTexture(resolution, resolution, 2); + texture.enableRandomWrite = true; + texture.Create(); + + int kernel = schrodinger.FindKernel("initialize"); + schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int kernel = schrodinger.FindKernel("process"); + schrodinger.SetInt("speed", speed); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + for (int i = 0; i < speed; i++) { + schrodinger.Dispatch(kernel, 8, 8, 1); + } + elapsedTime += speed; + time.text = string.Format("time: {0} us", (float)elapsedTime / 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assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/SchrodingerCompute.compute b/Assets/Shaders/SchrodingerCompute.compute new file mode 100644 index 0000000..91bf1cb --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute @@ -0,0 +1,58 @@ +#pragma kernel process +#pragma kernel initialize + +RWStructuredBuffer psi; +RWStructuredBuffer potential; + +int resolution; +static const float PI = 3.14159265; +static const float dt = 1e-9; +int speed; + +float V(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 1e11; + } + return -5e5 * potential[x + resolution * y]; +} + +float2 psi_(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psi[x + resolution * y]; +} + +float2 timesI(float2 number) { + return float2(-number.y, number.x); +} + +[numthreads(32,32,1)] +void process (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi_(id.x + 1, id.y) - 2 * psi_(id.x, id.y) + psi_(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi_(id.x, id.y + 1) - 2 * psi_(id.x, id.y) + psi_(id.x, id.y - 1)) / (dx * dx); + float2 dPsiByDt = timesI((d2PsiByDx2 + d2PsiByDy2) - psi_(id.x, id.y) * V(id.x, id.y)); + float2 result = psi[id.x + resolution * id.y] + dPsiByDt * dt; + GroupMemoryBarrierWithGroupSync(); + psi[id.x + resolution * id.y] = result; +} + +static const float mu = 0.5; +static const float sigma = 0.05; + +[numthreads(32,32,1)] +void initialize(uint3 id: SV_DispatchThreadID) { + float x = (float) id.x / resolution; + float y = (float) id.y / resolution; + if (x >= 0.25 && x <= 0.75) { + psi[id.x + resolution * id.y] = float2(sin(4*PI*(x-0.25)), sin(4*PI*(x-0.125))) * sin(2*PI*(x-0.25)) * sin(PI*y); + } else { + psi[id.x + resolution*id.y] = float2(0, 0); + } + // psi[id.x + resolution * id.y] = float2((sin(16*x*PI)) * sin(y * PI), 0) * 0.5; + potential[id.x + resolution * id.y] = 0; // exp(-(x-mu)*(x-mu) / (2*sigma*sigma)); +} \ No newline at end of file diff --git a/Assets/Shaders/SchrodingerCompute.compute.meta b/Assets/Shaders/SchrodingerCompute.compute.meta new file mode 100644 index 0000000..8f4d570 --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 979c7135e7e183e43bf950b33bf979d1 +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/Visualization.compute b/Assets/Shaders/Visualization.compute new file mode 100644 index 0000000..538f40e --- /dev/null +++ b/Assets/Shaders/Visualization.compute @@ -0,0 +1,29 @@ +#pragma kernel CSMain + +RWStructuredBuffer psiIn; +RWTexture2D result; +int resolution; + +float2 psi(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psiIn[x + resolution * y]; +} + +[numthreads(32,32,1)] +void CSMain (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + result[id.xy] = float4(0, 0, 0, 1.0f); + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi(id.x + 1, id.y) - 2 * psi(id.x, id.y) + psi(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi(id.x, id.y + 1) - 2 * psi(id.x, id.y) + psi(id.x, id.y - 1)) / (dx * dx); + // result[id.xy] = float4(d2PsiByDx2.x, d2PsiByDy2.x, 0, 1); + float2 _psi = psiIn[id.x + resolution * id.y]; + // result[id.xy] = float4(_psi.x + 0.5, _psi.y + 0.5, 0, 1.0f); + // result[id.xy] = float4(intensity * (_psi.x+0.5), intensity * (_psi.y + 0.5), intensity, 1.0f); + float intensity = _psi.x*_psi.x + _psi.y*_psi.y; + result[id.xy] = float4(intensity, intensity, intensity, 1.0f); +} diff --git a/Assets/Shaders/Visualization.compute.meta b/Assets/Shaders/Visualization.compute.meta 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b/Assets/Scenes/SampleScene.unity.meta new file mode 100644 index 0000000..c1e3c88 --- /dev/null +++ b/Assets/Scenes/SampleScene.unity.meta @@ -0,0 +1,7 @@ +fileFormatVersion: 2 +guid: 2cda990e2423bbf4892e6590ba056729 +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Scripts.meta b/Assets/Scripts.meta new file mode 100644 index 0000000..928f668 --- /dev/null +++ b/Assets/Scripts.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: 3b2a313ca00408e4bb29a0479cbcf610 +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Scripts/Display.cs b/Assets/Scripts/Display.cs new file mode 100644 index 0000000..b0dc5ba --- /dev/null +++ b/Assets/Scripts/Display.cs @@ -0,0 +1,51 @@ +using System.Collections; +using System.Collections.Generic; +using UnityEngine; +using UnityEngine.UI; + +public class Display : MonoBehaviour +{ + public ComputeShader schrodinger, visualization; + public RenderTexture texture; + public ComputeBuffer psi, potential; + public int resolution = 512; + public int speed = 100; + public Text time; + public int elapsedTime = 0; + + private void Start() { + psi = new ComputeBuffer(resolution * resolution * 8, 8); + // GC.KeepAlive(psiOld); + potential = new ComputeBuffer(resolution * resolution * 4, 4); + + texture = new RenderTexture(resolution, resolution, 2); + texture.enableRandomWrite = true; + texture.Create(); + + int kernel = schrodinger.FindKernel("initialize"); + schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int kernel = schrodinger.FindKernel("process"); + schrodinger.SetInt("speed", speed); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + for (int i = 0; i < speed; i++) { + schrodinger.Dispatch(kernel, 8, 8, 1); + } + elapsedTime += speed; + time.text = string.Format("time: {0} us", (float)elapsedTime / 200); + visualization.SetBuffer(0, "psiIn", psi); + visualization.SetTexture(0, "result", texture); + visualization.Dispatch(0, 8, 8, 1); + } + + private void OnRenderImage(RenderTexture before, RenderTexture destination) { + Graphics.Blit(texture, destination); + } +} diff --git a/Assets/Scripts/Display.cs.meta b/Assets/Scripts/Display.cs.meta new file mode 100644 index 0000000..78f9f60 --- /dev/null +++ b/Assets/Scripts/Display.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: c147d2d32f2189545bd8eb6e93fad190 +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders.meta b/Assets/Shaders.meta new file mode 100644 index 0000000..2d603bb --- /dev/null +++ b/Assets/Shaders.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: b51f1d57807a92c4b86406339fdac8dc +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/SchrodingerCompute.compute b/Assets/Shaders/SchrodingerCompute.compute new file mode 100644 index 0000000..91bf1cb --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute @@ -0,0 +1,58 @@ +#pragma kernel process +#pragma kernel initialize + +RWStructuredBuffer psi; +RWStructuredBuffer potential; + +int resolution; +static const float PI = 3.14159265; +static const float dt = 1e-9; +int speed; + +float V(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 1e11; + } + return -5e5 * potential[x + resolution * y]; +} + +float2 psi_(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psi[x + resolution * y]; +} + +float2 timesI(float2 number) { + return float2(-number.y, number.x); +} + +[numthreads(32,32,1)] +void process (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi_(id.x + 1, id.y) - 2 * psi_(id.x, id.y) + psi_(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi_(id.x, id.y + 1) - 2 * psi_(id.x, id.y) + psi_(id.x, id.y - 1)) / (dx * dx); + float2 dPsiByDt = timesI((d2PsiByDx2 + d2PsiByDy2) - psi_(id.x, id.y) * V(id.x, id.y)); + float2 result = psi[id.x + resolution * id.y] + dPsiByDt * dt; + GroupMemoryBarrierWithGroupSync(); + psi[id.x + resolution * id.y] = result; +} + +static const float mu = 0.5; +static const float sigma = 0.05; + +[numthreads(32,32,1)] +void initialize(uint3 id: SV_DispatchThreadID) { + float x = (float) id.x / resolution; + float y = (float) id.y / resolution; + if (x >= 0.25 && x <= 0.75) { + psi[id.x + resolution * id.y] = float2(sin(4*PI*(x-0.25)), sin(4*PI*(x-0.125))) * sin(2*PI*(x-0.25)) * sin(PI*y); + } else { + psi[id.x + resolution*id.y] = float2(0, 0); + } + // psi[id.x + resolution * id.y] = float2((sin(16*x*PI)) * sin(y * PI), 0) * 0.5; + potential[id.x + resolution * id.y] = 0; // exp(-(x-mu)*(x-mu) / (2*sigma*sigma)); +} \ No newline at end of file diff --git a/Assets/Shaders/SchrodingerCompute.compute.meta b/Assets/Shaders/SchrodingerCompute.compute.meta new file mode 100644 index 0000000..8f4d570 --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 979c7135e7e183e43bf950b33bf979d1 +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/Visualization.compute b/Assets/Shaders/Visualization.compute new file mode 100644 index 0000000..538f40e --- /dev/null +++ b/Assets/Shaders/Visualization.compute @@ -0,0 +1,29 @@ +#pragma kernel CSMain + +RWStructuredBuffer psiIn; +RWTexture2D result; +int resolution; + +float2 psi(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psiIn[x + resolution * y]; +} + +[numthreads(32,32,1)] +void CSMain (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + result[id.xy] = float4(0, 0, 0, 1.0f); + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi(id.x + 1, id.y) - 2 * psi(id.x, id.y) + psi(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi(id.x, id.y + 1) - 2 * psi(id.x, id.y) + psi(id.x, id.y - 1)) / (dx * dx); + // result[id.xy] = float4(d2PsiByDx2.x, d2PsiByDy2.x, 0, 1); + float2 _psi = psiIn[id.x + resolution * id.y]; + // result[id.xy] = float4(_psi.x + 0.5, _psi.y + 0.5, 0, 1.0f); + // result[id.xy] = float4(intensity * (_psi.x+0.5), intensity * (_psi.y + 0.5), intensity, 1.0f); + float intensity = _psi.x*_psi.x + _psi.y*_psi.y; + result[id.xy] = float4(intensity, intensity, intensity, 1.0f); +} diff --git a/Assets/Shaders/Visualization.compute.meta b/Assets/Shaders/Visualization.compute.meta new file mode 100644 index 0000000..dab1c8b --- /dev/null +++ b/Assets/Shaders/Visualization.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: c949a119cc67aa347a6c6df53f77ffdf +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Packages/manifest.json b/Packages/manifest.json new file mode 100644 index 0000000..89ebb8f --- /dev/null +++ b/Packages/manifest.json @@ -0,0 +1,49 @@ +{ + "dependencies": { + "com.unity.2d.animation": "5.0.10", + "com.unity.2d.pixel-perfect": "4.0.1", + "com.unity.2d.psdimporter": "4.1.3", + "com.unity.2d.sprite": "1.0.0", + "com.unity.2d.spriteshape": "5.1.7", + "com.unity.2d.tilemap": "1.0.0", + "com.unity.collab-proxy": "1.15.7", + "com.unity.ide.rider": "2.0.7", + 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schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int kernel = schrodinger.FindKernel("process"); + schrodinger.SetInt("speed", speed); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + for (int i = 0; i < speed; i++) { + schrodinger.Dispatch(kernel, 8, 8, 1); + } + elapsedTime += speed; + time.text = string.Format("time: {0} us", (float)elapsedTime / 200); + visualization.SetBuffer(0, "psiIn", psi); + visualization.SetTexture(0, "result", texture); + visualization.Dispatch(0, 8, 8, 1); + } + + private void OnRenderImage(RenderTexture before, RenderTexture destination) { + Graphics.Blit(texture, destination); + } +} diff --git a/Assets/Scripts/Display.cs.meta b/Assets/Scripts/Display.cs.meta new file mode 100644 index 0000000..78f9f60 --- /dev/null +++ b/Assets/Scripts/Display.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: c147d2d32f2189545bd8eb6e93fad190 +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders.meta b/Assets/Shaders.meta new file mode 100644 index 0000000..2d603bb --- /dev/null +++ b/Assets/Shaders.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: b51f1d57807a92c4b86406339fdac8dc +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/SchrodingerCompute.compute b/Assets/Shaders/SchrodingerCompute.compute new file mode 100644 index 0000000..91bf1cb --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute @@ -0,0 +1,58 @@ +#pragma kernel process +#pragma kernel initialize + +RWStructuredBuffer psi; +RWStructuredBuffer potential; + +int resolution; +static const float PI = 3.14159265; +static const float dt = 1e-9; +int speed; + +float V(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 1e11; + } + return -5e5 * potential[x + resolution * y]; +} + +float2 psi_(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psi[x + resolution * y]; +} + +float2 timesI(float2 number) { + return float2(-number.y, number.x); +} + +[numthreads(32,32,1)] +void process (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi_(id.x + 1, id.y) - 2 * psi_(id.x, id.y) + psi_(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi_(id.x, id.y + 1) - 2 * psi_(id.x, id.y) + psi_(id.x, id.y - 1)) / (dx * dx); + float2 dPsiByDt = timesI((d2PsiByDx2 + d2PsiByDy2) - psi_(id.x, id.y) * V(id.x, id.y)); + float2 result = psi[id.x + resolution * id.y] + dPsiByDt * dt; + GroupMemoryBarrierWithGroupSync(); + psi[id.x + resolution * id.y] = result; +} + +static const float mu = 0.5; +static const float sigma = 0.05; + +[numthreads(32,32,1)] +void initialize(uint3 id: SV_DispatchThreadID) { + float x = (float) id.x / resolution; + float y = (float) id.y / resolution; + if (x >= 0.25 && x <= 0.75) { + psi[id.x + resolution * id.y] = float2(sin(4*PI*(x-0.25)), sin(4*PI*(x-0.125))) * sin(2*PI*(x-0.25)) * sin(PI*y); + } else { + psi[id.x + resolution*id.y] = float2(0, 0); + } + // psi[id.x + resolution * id.y] = float2((sin(16*x*PI)) * sin(y * PI), 0) * 0.5; + potential[id.x + resolution * id.y] = 0; // exp(-(x-mu)*(x-mu) / (2*sigma*sigma)); +} \ No newline at end of file diff --git a/Assets/Shaders/SchrodingerCompute.compute.meta b/Assets/Shaders/SchrodingerCompute.compute.meta new file mode 100644 index 0000000..8f4d570 --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 979c7135e7e183e43bf950b33bf979d1 +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/Visualization.compute b/Assets/Shaders/Visualization.compute new file mode 100644 index 0000000..538f40e --- /dev/null +++ b/Assets/Shaders/Visualization.compute @@ -0,0 +1,29 @@ +#pragma kernel CSMain + +RWStructuredBuffer psiIn; +RWTexture2D result; +int resolution; + +float2 psi(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psiIn[x + resolution * y]; +} + +[numthreads(32,32,1)] +void CSMain (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + result[id.xy] = float4(0, 0, 0, 1.0f); + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi(id.x + 1, id.y) - 2 * psi(id.x, id.y) + psi(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi(id.x, id.y + 1) - 2 * psi(id.x, id.y) + psi(id.x, id.y - 1)) / (dx * dx); + // result[id.xy] = float4(d2PsiByDx2.x, d2PsiByDy2.x, 0, 1); + float2 _psi = psiIn[id.x + resolution * id.y]; + // result[id.xy] = float4(_psi.x + 0.5, _psi.y + 0.5, 0, 1.0f); + // result[id.xy] = float4(intensity * (_psi.x+0.5), intensity * (_psi.y + 0.5), intensity, 1.0f); + float intensity = _psi.x*_psi.x + _psi.y*_psi.y; + result[id.xy] = float4(intensity, intensity, intensity, 1.0f); +} diff --git a/Assets/Shaders/Visualization.compute.meta b/Assets/Shaders/Visualization.compute.meta new file mode 100644 index 0000000..dab1c8b --- /dev/null +++ b/Assets/Shaders/Visualization.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: c949a119cc67aa347a6c6df53f77ffdf +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Packages/manifest.json b/Packages/manifest.json new 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visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int kernel = schrodinger.FindKernel("process"); + schrodinger.SetInt("speed", speed); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + for (int i = 0; i < speed; i++) { + schrodinger.Dispatch(kernel, 8, 8, 1); + } + elapsedTime += speed; + time.text = string.Format("time: {0} us", (float)elapsedTime / 200); + visualization.SetBuffer(0, "psiIn", psi); + visualization.SetTexture(0, "result", texture); + visualization.Dispatch(0, 8, 8, 1); + } + + private void OnRenderImage(RenderTexture before, RenderTexture destination) { + Graphics.Blit(texture, destination); + } +} diff --git a/Assets/Scripts/Display.cs.meta b/Assets/Scripts/Display.cs.meta new file mode 100644 index 0000000..78f9f60 --- /dev/null +++ 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3.14159265; +static const float dt = 1e-9; +int speed; + +float V(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 1e11; + } + return -5e5 * potential[x + resolution * y]; +} + +float2 psi_(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psi[x + resolution * y]; +} + +float2 timesI(float2 number) { + return float2(-number.y, number.x); +} + +[numthreads(32,32,1)] +void process (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi_(id.x + 1, id.y) - 2 * psi_(id.x, id.y) + psi_(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi_(id.x, id.y + 1) - 2 * psi_(id.x, id.y) + psi_(id.x, id.y - 1)) / (dx * dx); + float2 dPsiByDt = timesI((d2PsiByDx2 + d2PsiByDy2) - psi_(id.x, id.y) * V(id.x, id.y)); + float2 result = psi[id.x + resolution * id.y] + dPsiByDt * dt; + GroupMemoryBarrierWithGroupSync(); + psi[id.x + resolution * id.y] = result; +} + +static const float mu = 0.5; +static const float sigma = 0.05; + +[numthreads(32,32,1)] +void initialize(uint3 id: SV_DispatchThreadID) { + float x = (float) id.x / resolution; + float y = (float) id.y / resolution; + if (x >= 0.25 && x <= 0.75) { + psi[id.x + resolution * id.y] = float2(sin(4*PI*(x-0.25)), sin(4*PI*(x-0.125))) * sin(2*PI*(x-0.25)) * sin(PI*y); + } else { + psi[id.x + resolution*id.y] = float2(0, 0); + } + // psi[id.x + resolution * id.y] = float2((sin(16*x*PI)) * sin(y * PI), 0) * 0.5; + potential[id.x + resolution * id.y] = 0; // exp(-(x-mu)*(x-mu) / (2*sigma*sigma)); +} \ No newline at end of file diff --git a/Assets/Shaders/SchrodingerCompute.compute.meta b/Assets/Shaders/SchrodingerCompute.compute.meta new file mode 100644 index 0000000..8f4d570 --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 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RenderTexture(resolution, resolution, 2); + texture.enableRandomWrite = true; + texture.Create(); + + int kernel = schrodinger.FindKernel("initialize"); + schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int kernel = schrodinger.FindKernel("process"); + schrodinger.SetInt("speed", speed); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + for (int i = 0; i < speed; i++) { + schrodinger.Dispatch(kernel, 8, 8, 1); + } + elapsedTime += speed; + time.text = string.Format("time: {0} us", (float)elapsedTime / 200); + visualization.SetBuffer(0, "psiIn", psi); + visualization.SetTexture(0, "result", texture); + visualization.Dispatch(0, 8, 8, 1); + } + + private void OnRenderImage(RenderTexture before, RenderTexture destination) { + Graphics.Blit(texture, destination); + } +} diff --git a/Assets/Scripts/Display.cs.meta b/Assets/Scripts/Display.cs.meta new file mode 100644 index 0000000..78f9f60 --- /dev/null +++ b/Assets/Scripts/Display.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: c147d2d32f2189545bd8eb6e93fad190 +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders.meta b/Assets/Shaders.meta new file mode 100644 index 0000000..2d603bb --- /dev/null +++ b/Assets/Shaders.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: b51f1d57807a92c4b86406339fdac8dc +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/SchrodingerCompute.compute b/Assets/Shaders/SchrodingerCompute.compute new file mode 100644 index 0000000..91bf1cb --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute @@ -0,0 +1,58 @@ +#pragma kernel process +#pragma kernel initialize + +RWStructuredBuffer psi; +RWStructuredBuffer potential; + +int resolution; +static const float PI = 3.14159265; +static const float dt = 1e-9; +int speed; + +float V(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 1e11; + } + return -5e5 * potential[x + resolution * y]; +} + +float2 psi_(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psi[x + resolution * y]; +} + +float2 timesI(float2 number) { + return float2(-number.y, number.x); +} + +[numthreads(32,32,1)] +void process (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi_(id.x + 1, id.y) - 2 * psi_(id.x, id.y) + psi_(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi_(id.x, id.y + 1) - 2 * psi_(id.x, id.y) + psi_(id.x, id.y - 1)) / (dx * dx); + float2 dPsiByDt = timesI((d2PsiByDx2 + d2PsiByDy2) - psi_(id.x, id.y) * V(id.x, id.y)); + float2 result = psi[id.x + resolution * id.y] + dPsiByDt * dt; + GroupMemoryBarrierWithGroupSync(); + psi[id.x + resolution * id.y] = result; +} + +static const float mu = 0.5; +static const float sigma = 0.05; + +[numthreads(32,32,1)] +void initialize(uint3 id: SV_DispatchThreadID) { + float x = (float) id.x / resolution; + float y = (float) id.y / resolution; + if (x >= 0.25 && x <= 0.75) { + psi[id.x + resolution * id.y] = float2(sin(4*PI*(x-0.25)), sin(4*PI*(x-0.125))) * sin(2*PI*(x-0.25)) * sin(PI*y); + } else { + psi[id.x + resolution*id.y] = float2(0, 0); + } + // psi[id.x + resolution * id.y] = float2((sin(16*x*PI)) * sin(y * PI), 0) * 0.5; + potential[id.x + resolution * id.y] = 0; // exp(-(x-mu)*(x-mu) / (2*sigma*sigma)); +} \ No newline at end of file diff --git a/Assets/Shaders/SchrodingerCompute.compute.meta b/Assets/Shaders/SchrodingerCompute.compute.meta new file mode 100644 index 0000000..8f4d570 --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 979c7135e7e183e43bf950b33bf979d1 +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/Visualization.compute b/Assets/Shaders/Visualization.compute new file mode 100644 index 0000000..538f40e --- /dev/null +++ b/Assets/Shaders/Visualization.compute @@ -0,0 +1,29 @@ +#pragma kernel CSMain + +RWStructuredBuffer psiIn; +RWTexture2D result; +int resolution; + +float2 psi(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psiIn[x + resolution * y]; +} + +[numthreads(32,32,1)] +void CSMain (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + result[id.xy] = float4(0, 0, 0, 1.0f); + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi(id.x + 1, id.y) - 2 * psi(id.x, id.y) + psi(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi(id.x, id.y + 1) - 2 * psi(id.x, id.y) + psi(id.x, id.y - 1)) / (dx * dx); + // result[id.xy] = float4(d2PsiByDx2.x, d2PsiByDy2.x, 0, 1); + float2 _psi = psiIn[id.x + resolution * id.y]; + // result[id.xy] = float4(_psi.x + 0.5, _psi.y + 0.5, 0, 1.0f); + // result[id.xy] = float4(intensity * (_psi.x+0.5), intensity * (_psi.y + 0.5), intensity, 1.0f); + float intensity = _psi.x*_psi.x + _psi.y*_psi.y; + result[id.xy] = float4(intensity, intensity, intensity, 1.0f); +} diff --git a/Assets/Shaders/Visualization.compute.meta b/Assets/Shaders/Visualization.compute.meta new file mode 100644 index 0000000..dab1c8b --- /dev/null +++ b/Assets/Shaders/Visualization.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 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index 0000000..c1e3c88 --- /dev/null +++ b/Assets/Scenes/SampleScene.unity.meta @@ -0,0 +1,7 @@ +fileFormatVersion: 2 +guid: 2cda990e2423bbf4892e6590ba056729 +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Scripts.meta b/Assets/Scripts.meta new file mode 100644 index 0000000..928f668 --- /dev/null +++ b/Assets/Scripts.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: 3b2a313ca00408e4bb29a0479cbcf610 +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Scripts/Display.cs b/Assets/Scripts/Display.cs new file mode 100644 index 0000000..b0dc5ba --- /dev/null +++ b/Assets/Scripts/Display.cs @@ -0,0 +1,51 @@ +using System.Collections; +using System.Collections.Generic; +using UnityEngine; +using UnityEngine.UI; + +public class Display : MonoBehaviour +{ + public ComputeShader schrodinger, visualization; + public RenderTexture texture; + public ComputeBuffer psi, potential; + public int resolution = 512; + public int speed = 100; + public Text time; + public int elapsedTime = 0; + + private void Start() { + psi = new ComputeBuffer(resolution * resolution * 8, 8); + // GC.KeepAlive(psiOld); + potential = new ComputeBuffer(resolution * resolution * 4, 4); + + texture = new RenderTexture(resolution, resolution, 2); + texture.enableRandomWrite = true; + texture.Create(); + + int kernel = schrodinger.FindKernel("initialize"); + schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int kernel = schrodinger.FindKernel("process"); + schrodinger.SetInt("speed", speed); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + for (int i = 0; i < speed; i++) { + schrodinger.Dispatch(kernel, 8, 8, 1); + } + elapsedTime += speed; + time.text = string.Format("time: {0} us", (float)elapsedTime / 200); + visualization.SetBuffer(0, "psiIn", psi); + visualization.SetTexture(0, "result", texture); + visualization.Dispatch(0, 8, 8, 1); + } + + private void OnRenderImage(RenderTexture before, RenderTexture destination) { + Graphics.Blit(texture, destination); + } +} diff --git a/Assets/Scripts/Display.cs.meta b/Assets/Scripts/Display.cs.meta new file mode 100644 index 0000000..78f9f60 --- /dev/null +++ b/Assets/Scripts/Display.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: c147d2d32f2189545bd8eb6e93fad190 +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders.meta b/Assets/Shaders.meta new file mode 100644 index 0000000..2d603bb --- /dev/null +++ b/Assets/Shaders.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: b51f1d57807a92c4b86406339fdac8dc +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/SchrodingerCompute.compute b/Assets/Shaders/SchrodingerCompute.compute new file mode 100644 index 0000000..91bf1cb --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute @@ -0,0 +1,58 @@ +#pragma kernel process +#pragma kernel initialize + +RWStructuredBuffer psi; +RWStructuredBuffer potential; + +int resolution; +static const float PI = 3.14159265; +static const float dt = 1e-9; +int speed; + +float V(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 1e11; + } + return -5e5 * potential[x + resolution * y]; +} + +float2 psi_(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psi[x + resolution * y]; +} + +float2 timesI(float2 number) { + return float2(-number.y, number.x); +} + +[numthreads(32,32,1)] +void process (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi_(id.x + 1, id.y) - 2 * psi_(id.x, id.y) + psi_(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi_(id.x, id.y + 1) - 2 * psi_(id.x, id.y) + psi_(id.x, id.y - 1)) / (dx * dx); + float2 dPsiByDt = timesI((d2PsiByDx2 + d2PsiByDy2) - psi_(id.x, id.y) * V(id.x, id.y)); + float2 result = psi[id.x + resolution * id.y] + dPsiByDt * dt; + GroupMemoryBarrierWithGroupSync(); + psi[id.x + resolution * id.y] = result; +} + +static const float mu = 0.5; +static const float sigma = 0.05; + +[numthreads(32,32,1)] +void initialize(uint3 id: SV_DispatchThreadID) { + float x = (float) id.x / resolution; + float y = (float) id.y / resolution; + if (x >= 0.25 && x <= 0.75) { + psi[id.x + resolution * id.y] = float2(sin(4*PI*(x-0.25)), sin(4*PI*(x-0.125))) * sin(2*PI*(x-0.25)) * sin(PI*y); + } else { + psi[id.x + resolution*id.y] = float2(0, 0); + } + // psi[id.x + resolution * id.y] = float2((sin(16*x*PI)) * sin(y * PI), 0) * 0.5; + potential[id.x + resolution * id.y] = 0; // exp(-(x-mu)*(x-mu) / (2*sigma*sigma)); +} \ No newline at end of file diff --git a/Assets/Shaders/SchrodingerCompute.compute.meta b/Assets/Shaders/SchrodingerCompute.compute.meta new file mode 100644 index 0000000..8f4d570 --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 979c7135e7e183e43bf950b33bf979d1 +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/Visualization.compute b/Assets/Shaders/Visualization.compute new file mode 100644 index 0000000..538f40e --- /dev/null +++ b/Assets/Shaders/Visualization.compute @@ -0,0 +1,29 @@ +#pragma kernel CSMain + +RWStructuredBuffer psiIn; +RWTexture2D result; +int resolution; + +float2 psi(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psiIn[x + resolution * y]; +} + +[numthreads(32,32,1)] +void CSMain (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + result[id.xy] = float4(0, 0, 0, 1.0f); + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi(id.x + 1, id.y) - 2 * psi(id.x, id.y) + psi(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi(id.x, id.y + 1) - 2 * psi(id.x, id.y) + psi(id.x, id.y - 1)) / (dx * dx); + // result[id.xy] = float4(d2PsiByDx2.x, d2PsiByDy2.x, 0, 1); + float2 _psi = psiIn[id.x + resolution * id.y]; + // result[id.xy] = float4(_psi.x + 0.5, _psi.y + 0.5, 0, 1.0f); + // result[id.xy] = float4(intensity * (_psi.x+0.5), intensity * (_psi.y + 0.5), intensity, 1.0f); + float intensity = _psi.x*_psi.x + _psi.y*_psi.y; + result[id.xy] = 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System.Collections; +using System.Collections.Generic; +using UnityEngine; +using UnityEngine.UI; + +public class Display : MonoBehaviour +{ + public ComputeShader schrodinger, visualization; + public RenderTexture texture; + public ComputeBuffer psi, potential; + public int resolution = 512; + public int speed = 100; + public Text time; + public int elapsedTime = 0; + + private void Start() { + psi = new ComputeBuffer(resolution * resolution * 8, 8); + // GC.KeepAlive(psiOld); + potential = new ComputeBuffer(resolution * resolution * 4, 4); + + texture = new RenderTexture(resolution, resolution, 2); + texture.enableRandomWrite = true; + texture.Create(); + + int kernel = schrodinger.FindKernel("initialize"); + schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int 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x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psi[x + resolution * y]; +} + +float2 timesI(float2 number) { + return float2(-number.y, number.x); +} + +[numthreads(32,32,1)] +void process (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi_(id.x + 1, id.y) - 2 * psi_(id.x, id.y) + psi_(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi_(id.x, id.y + 1) - 2 * psi_(id.x, id.y) + psi_(id.x, id.y - 1)) / (dx * dx); + float2 dPsiByDt = timesI((d2PsiByDx2 + d2PsiByDy2) - psi_(id.x, id.y) * V(id.x, id.y)); + float2 result = psi[id.x + resolution * id.y] + dPsiByDt * dt; + GroupMemoryBarrierWithGroupSync(); + psi[id.x + resolution * id.y] = result; +} + +static const float mu = 0.5; +static const float sigma = 0.05; + +[numthreads(32,32,1)] +void initialize(uint3 id: SV_DispatchThreadID) { + float x = (float) id.x / resolution; + float y = (float) id.y / resolution; + if (x >= 0.25 && x <= 0.75) { + psi[id.x + resolution * id.y] = float2(sin(4*PI*(x-0.25)), sin(4*PI*(x-0.125))) * sin(2*PI*(x-0.25)) * sin(PI*y); + } else { + psi[id.x + resolution*id.y] = float2(0, 0); + } + // psi[id.x + resolution * id.y] = float2((sin(16*x*PI)) * sin(y * PI), 0) * 0.5; + potential[id.x + resolution * id.y] = 0; // exp(-(x-mu)*(x-mu) / (2*sigma*sigma)); +} \ No newline at end of file diff --git a/Assets/Shaders/SchrodingerCompute.compute.meta b/Assets/Shaders/SchrodingerCompute.compute.meta new file mode 100644 index 0000000..8f4d570 --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 979c7135e7e183e43bf950b33bf979d1 +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/Visualization.compute b/Assets/Shaders/Visualization.compute new file mode 100644 index 0000000..538f40e --- /dev/null +++ b/Assets/Shaders/Visualization.compute @@ -0,0 +1,29 @@ +#pragma kernel CSMain + +RWStructuredBuffer psiIn; +RWTexture2D result; +int resolution; + +float2 psi(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psiIn[x + resolution * y]; +} + +[numthreads(32,32,1)] +void CSMain (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + result[id.xy] = float4(0, 0, 0, 1.0f); + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi(id.x + 1, id.y) - 2 * psi(id.x, id.y) + psi(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi(id.x, id.y + 1) - 2 * psi(id.x, id.y) + psi(id.x, id.y - 1)) / (dx * dx); + // result[id.xy] = float4(d2PsiByDx2.x, d2PsiByDy2.x, 0, 1); + float2 _psi = psiIn[id.x + resolution * id.y]; + // result[id.xy] = float4(_psi.x + 0.5, _psi.y + 0.5, 0, 1.0f); + // result[id.xy] = float4(intensity * (_psi.x+0.5), intensity * (_psi.y + 0.5), intensity, 1.0f); + float intensity = _psi.x*_psi.x + _psi.y*_psi.y; + result[id.xy] = float4(intensity, intensity, intensity, 1.0f); +} diff --git a/Assets/Shaders/Visualization.compute.meta b/Assets/Shaders/Visualization.compute.meta new file mode 100644 index 0000000..dab1c8b --- /dev/null +++ b/Assets/Shaders/Visualization.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: c949a119cc67aa347a6c6df53f77ffdf +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Packages/manifest.json b/Packages/manifest.json new file mode 100644 index 0000000..89ebb8f --- /dev/null +++ b/Packages/manifest.json @@ -0,0 +1,49 @@ +{ + "dependencies": { + "com.unity.2d.animation": "5.0.10", + "com.unity.2d.pixel-perfect": "4.0.1", + "com.unity.2d.psdimporter": "4.1.3", + 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b/Assets/Scripts.meta new file mode 100644 index 0000000..928f668 --- /dev/null +++ b/Assets/Scripts.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: 3b2a313ca00408e4bb29a0479cbcf610 +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Scripts/Display.cs b/Assets/Scripts/Display.cs new file mode 100644 index 0000000..b0dc5ba --- /dev/null +++ b/Assets/Scripts/Display.cs @@ -0,0 +1,51 @@ +using System.Collections; +using System.Collections.Generic; +using UnityEngine; +using UnityEngine.UI; + +public class Display : MonoBehaviour +{ + public ComputeShader schrodinger, visualization; + public RenderTexture texture; + public ComputeBuffer psi, potential; + public int resolution = 512; + public int speed = 100; + public Text time; + public int elapsedTime = 0; + + private void Start() { + psi = new ComputeBuffer(resolution * resolution * 8, 8); + // GC.KeepAlive(psiOld); + potential = new ComputeBuffer(resolution * resolution * 4, 4); + + texture = new RenderTexture(resolution, resolution, 2); + texture.enableRandomWrite = true; + texture.Create(); + + int kernel = schrodinger.FindKernel("initialize"); + schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int kernel = schrodinger.FindKernel("process"); + schrodinger.SetInt("speed", speed); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + for (int i = 0; i < speed; i++) { + schrodinger.Dispatch(kernel, 8, 8, 1); + } + elapsedTime += speed; + time.text = string.Format("time: {0} us", (float)elapsedTime / 200); + visualization.SetBuffer(0, "psiIn", psi); + visualization.SetTexture(0, "result", texture); + visualization.Dispatch(0, 8, 8, 1); + } + + private void OnRenderImage(RenderTexture before, RenderTexture destination) { + Graphics.Blit(texture, destination); + } +} diff --git a/Assets/Scripts/Display.cs.meta b/Assets/Scripts/Display.cs.meta new file mode 100644 index 0000000..78f9f60 --- /dev/null +++ b/Assets/Scripts/Display.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: c147d2d32f2189545bd8eb6e93fad190 +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders.meta b/Assets/Shaders.meta new file mode 100644 index 0000000..2d603bb --- /dev/null +++ b/Assets/Shaders.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: b51f1d57807a92c4b86406339fdac8dc +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/SchrodingerCompute.compute b/Assets/Shaders/SchrodingerCompute.compute new file mode 100644 index 0000000..91bf1cb --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute @@ -0,0 +1,58 @@ +#pragma kernel process +#pragma kernel initialize + +RWStructuredBuffer psi; +RWStructuredBuffer potential; + +int resolution; +static const float PI = 3.14159265; +static const float dt = 1e-9; +int speed; + +float V(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 1e11; + } + return -5e5 * potential[x + resolution * y]; +} + +float2 psi_(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psi[x + resolution * y]; +} + +float2 timesI(float2 number) { + return float2(-number.y, number.x); +} + +[numthreads(32,32,1)] +void process (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi_(id.x + 1, id.y) - 2 * psi_(id.x, id.y) + psi_(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi_(id.x, id.y + 1) - 2 * psi_(id.x, id.y) + psi_(id.x, id.y - 1)) / (dx * dx); + float2 dPsiByDt = timesI((d2PsiByDx2 + d2PsiByDy2) - psi_(id.x, id.y) * V(id.x, id.y)); + float2 result = psi[id.x + resolution * id.y] + dPsiByDt * dt; + GroupMemoryBarrierWithGroupSync(); + psi[id.x + resolution * id.y] = result; +} + +static const float mu = 0.5; +static const float sigma = 0.05; + +[numthreads(32,32,1)] +void initialize(uint3 id: SV_DispatchThreadID) { + float x = (float) id.x / resolution; + float y = (float) id.y / resolution; + if (x >= 0.25 && x <= 0.75) { + psi[id.x + resolution * id.y] = float2(sin(4*PI*(x-0.25)), sin(4*PI*(x-0.125))) * sin(2*PI*(x-0.25)) * sin(PI*y); + } else { + psi[id.x + resolution*id.y] = float2(0, 0); + } + // psi[id.x + resolution * id.y] = float2((sin(16*x*PI)) * sin(y * PI), 0) * 0.5; + potential[id.x + resolution * id.y] = 0; // exp(-(x-mu)*(x-mu) / (2*sigma*sigma)); +} \ No newline at end of file diff --git a/Assets/Shaders/SchrodingerCompute.compute.meta b/Assets/Shaders/SchrodingerCompute.compute.meta new file mode 100644 index 0000000..8f4d570 --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 979c7135e7e183e43bf950b33bf979d1 +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/Visualization.compute b/Assets/Shaders/Visualization.compute new file mode 100644 index 0000000..538f40e --- /dev/null +++ b/Assets/Shaders/Visualization.compute @@ -0,0 +1,29 @@ +#pragma kernel CSMain + +RWStructuredBuffer psiIn; +RWTexture2D result; +int resolution; + +float2 psi(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psiIn[x + resolution * y]; +} + +[numthreads(32,32,1)] +void CSMain (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + result[id.xy] = float4(0, 0, 0, 1.0f); + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi(id.x + 1, id.y) - 2 * psi(id.x, id.y) + psi(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi(id.x, id.y + 1) - 2 * psi(id.x, id.y) + psi(id.x, id.y - 1)) / (dx * dx); + // result[id.xy] = float4(d2PsiByDx2.x, d2PsiByDy2.x, 0, 1); + float2 _psi = psiIn[id.x + resolution * id.y]; + // result[id.xy] = float4(_psi.x + 0.5, _psi.y + 0.5, 0, 1.0f); + // result[id.xy] = float4(intensity * (_psi.x+0.5), intensity * (_psi.y + 0.5), intensity, 1.0f); + float intensity = _psi.x*_psi.x + _psi.y*_psi.y; + result[id.xy] = float4(intensity, intensity, intensity, 1.0f); +} diff --git a/Assets/Shaders/Visualization.compute.meta b/Assets/Shaders/Visualization.compute.meta new file mode 100644 index 0000000..dab1c8b --- /dev/null +++ b/Assets/Shaders/Visualization.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 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2 +guid: 2cda990e2423bbf4892e6590ba056729 +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Scripts.meta b/Assets/Scripts.meta new file mode 100644 index 0000000..928f668 --- /dev/null +++ b/Assets/Scripts.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: 3b2a313ca00408e4bb29a0479cbcf610 +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Scripts/Display.cs b/Assets/Scripts/Display.cs new file mode 100644 index 0000000..b0dc5ba --- /dev/null +++ b/Assets/Scripts/Display.cs @@ -0,0 +1,51 @@ +using System.Collections; +using System.Collections.Generic; +using UnityEngine; +using UnityEngine.UI; + +public class Display : MonoBehaviour +{ + public ComputeShader schrodinger, visualization; + public RenderTexture texture; + public ComputeBuffer psi, potential; + public int resolution = 512; + public int speed = 100; + public Text time; + public int elapsedTime = 0; + + private void Start() { + psi = new ComputeBuffer(resolution * resolution * 8, 8); + // GC.KeepAlive(psiOld); + potential = new ComputeBuffer(resolution * resolution * 4, 4); + + texture = new RenderTexture(resolution, resolution, 2); + texture.enableRandomWrite = true; + texture.Create(); + + int kernel = schrodinger.FindKernel("initialize"); + schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int kernel = schrodinger.FindKernel("process"); + schrodinger.SetInt("speed", speed); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + for (int i = 0; i < speed; i++) { + schrodinger.Dispatch(kernel, 8, 8, 1); + } + elapsedTime += speed; + time.text = string.Format("time: {0} us", (float)elapsedTime / 200); + visualization.SetBuffer(0, "psiIn", psi); + visualization.SetTexture(0, "result", texture); + visualization.Dispatch(0, 8, 8, 1); + } + + private void OnRenderImage(RenderTexture before, RenderTexture destination) { + Graphics.Blit(texture, destination); + } +} diff --git a/Assets/Scripts/Display.cs.meta b/Assets/Scripts/Display.cs.meta new file mode 100644 index 0000000..78f9f60 --- /dev/null +++ b/Assets/Scripts/Display.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: c147d2d32f2189545bd8eb6e93fad190 +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders.meta b/Assets/Shaders.meta new file mode 100644 index 0000000..2d603bb --- /dev/null +++ b/Assets/Shaders.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: b51f1d57807a92c4b86406339fdac8dc +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/SchrodingerCompute.compute b/Assets/Shaders/SchrodingerCompute.compute new file mode 100644 index 0000000..91bf1cb --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute @@ -0,0 +1,58 @@ +#pragma kernel process +#pragma kernel initialize + +RWStructuredBuffer psi; +RWStructuredBuffer potential; + +int resolution; +static const float PI = 3.14159265; +static const float dt = 1e-9; +int speed; + +float V(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 1e11; + } + return -5e5 * potential[x + resolution * y]; +} + +float2 psi_(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psi[x + resolution * y]; +} + +float2 timesI(float2 number) { + return float2(-number.y, number.x); +} + +[numthreads(32,32,1)] +void process (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi_(id.x + 1, id.y) - 2 * psi_(id.x, id.y) + psi_(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi_(id.x, id.y + 1) - 2 * psi_(id.x, id.y) + psi_(id.x, id.y - 1)) / (dx * dx); + float2 dPsiByDt = timesI((d2PsiByDx2 + d2PsiByDy2) - psi_(id.x, id.y) * V(id.x, id.y)); + float2 result = psi[id.x + resolution * id.y] + dPsiByDt * dt; + GroupMemoryBarrierWithGroupSync(); + psi[id.x + resolution * id.y] = result; +} + +static const float mu = 0.5; +static const float sigma = 0.05; + +[numthreads(32,32,1)] +void initialize(uint3 id: SV_DispatchThreadID) { + float x = (float) id.x / resolution; + float y = (float) id.y / resolution; + if (x >= 0.25 && x <= 0.75) { + psi[id.x + resolution * id.y] = float2(sin(4*PI*(x-0.25)), sin(4*PI*(x-0.125))) * sin(2*PI*(x-0.25)) * sin(PI*y); + } else { + psi[id.x + resolution*id.y] = float2(0, 0); + } + // psi[id.x + resolution * id.y] = float2((sin(16*x*PI)) * sin(y * PI), 0) * 0.5; + potential[id.x + resolution * id.y] = 0; // exp(-(x-mu)*(x-mu) / (2*sigma*sigma)); +} \ No newline at end of file diff --git a/Assets/Shaders/SchrodingerCompute.compute.meta b/Assets/Shaders/SchrodingerCompute.compute.meta new file mode 100644 index 0000000..8f4d570 --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 979c7135e7e183e43bf950b33bf979d1 +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/Visualization.compute b/Assets/Shaders/Visualization.compute new file mode 100644 index 0000000..538f40e --- /dev/null +++ b/Assets/Shaders/Visualization.compute @@ -0,0 +1,29 @@ +#pragma kernel CSMain + +RWStructuredBuffer psiIn; +RWTexture2D result; +int resolution; + +float2 psi(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psiIn[x + resolution * y]; +} + +[numthreads(32,32,1)] +void CSMain (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + result[id.xy] = float4(0, 0, 0, 1.0f); + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi(id.x + 1, id.y) - 2 * psi(id.x, id.y) + psi(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi(id.x, id.y + 1) - 2 * psi(id.x, id.y) + psi(id.x, id.y - 1)) / (dx * dx); + // result[id.xy] = float4(d2PsiByDx2.x, d2PsiByDy2.x, 0, 1); + float2 _psi = psiIn[id.x + resolution * id.y]; + // result[id.xy] = float4(_psi.x + 0.5, _psi.y + 0.5, 0, 1.0f); + // result[id.xy] = float4(intensity * (_psi.x+0.5), intensity * (_psi.y + 0.5), intensity, 1.0f); + float intensity = _psi.x*_psi.x + _psi.y*_psi.y; + result[id.xy] = float4(intensity, intensity, intensity, 1.0f); +} diff --git a/Assets/Shaders/Visualization.compute.meta b/Assets/Shaders/Visualization.compute.meta 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yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Scripts/Display.cs b/Assets/Scripts/Display.cs new file mode 100644 index 0000000..b0dc5ba --- /dev/null +++ b/Assets/Scripts/Display.cs @@ -0,0 +1,51 @@ +using System.Collections; +using System.Collections.Generic; +using UnityEngine; +using UnityEngine.UI; + +public class Display : MonoBehaviour +{ + public ComputeShader schrodinger, visualization; + public RenderTexture texture; + public ComputeBuffer psi, potential; + public int resolution = 512; + public int speed = 100; + public Text time; + public int elapsedTime = 0; + + private void Start() { + psi = new ComputeBuffer(resolution * resolution * 8, 8); + // GC.KeepAlive(psiOld); + potential = new ComputeBuffer(resolution * resolution * 4, 4); + + texture = new RenderTexture(resolution, resolution, 2); + texture.enableRandomWrite = true; + texture.Create(); + + int kernel = schrodinger.FindKernel("initialize"); + schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int kernel = schrodinger.FindKernel("process"); + schrodinger.SetInt("speed", speed); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + for (int i = 0; i < speed; i++) { + schrodinger.Dispatch(kernel, 8, 8, 1); + } + elapsedTime += speed; + time.text = string.Format("time: {0} us", (float)elapsedTime / 200); + visualization.SetBuffer(0, "psiIn", psi); + visualization.SetTexture(0, "result", texture); + visualization.Dispatch(0, 8, 8, 1); + } + + private void OnRenderImage(RenderTexture before, RenderTexture destination) { + Graphics.Blit(texture, destination); + } +} diff --git a/Assets/Scripts/Display.cs.meta b/Assets/Scripts/Display.cs.meta new file mode 100644 index 0000000..78f9f60 --- /dev/null +++ b/Assets/Scripts/Display.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: c147d2d32f2189545bd8eb6e93fad190 +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders.meta b/Assets/Shaders.meta new file mode 100644 index 0000000..2d603bb --- /dev/null +++ b/Assets/Shaders.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: b51f1d57807a92c4b86406339fdac8dc +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/SchrodingerCompute.compute b/Assets/Shaders/SchrodingerCompute.compute new file mode 100644 index 0000000..91bf1cb --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute @@ -0,0 +1,58 @@ +#pragma kernel process +#pragma kernel initialize + +RWStructuredBuffer psi; +RWStructuredBuffer potential; + +int resolution; +static const float PI = 3.14159265; +static const float dt = 1e-9; +int speed; + +float V(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 1e11; + } + return -5e5 * potential[x + resolution * y]; +} + +float2 psi_(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psi[x + resolution * y]; +} + +float2 timesI(float2 number) { + return float2(-number.y, number.x); +} + +[numthreads(32,32,1)] +void process (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi_(id.x + 1, id.y) - 2 * psi_(id.x, id.y) + psi_(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi_(id.x, id.y + 1) - 2 * psi_(id.x, id.y) + psi_(id.x, id.y - 1)) / (dx * dx); + float2 dPsiByDt = timesI((d2PsiByDx2 + d2PsiByDy2) - psi_(id.x, id.y) * V(id.x, id.y)); + float2 result = psi[id.x + resolution * id.y] + dPsiByDt * dt; + GroupMemoryBarrierWithGroupSync(); + psi[id.x + resolution * id.y] = result; +} + +static const float mu = 0.5; +static const float sigma = 0.05; + +[numthreads(32,32,1)] +void initialize(uint3 id: SV_DispatchThreadID) { + float x = (float) id.x / resolution; + float y = (float) id.y / resolution; + if (x >= 0.25 && x <= 0.75) { + psi[id.x + resolution * id.y] = float2(sin(4*PI*(x-0.25)), sin(4*PI*(x-0.125))) * sin(2*PI*(x-0.25)) * sin(PI*y); + } else { + psi[id.x + resolution*id.y] = float2(0, 0); + } + // psi[id.x + resolution * id.y] = float2((sin(16*x*PI)) * sin(y * PI), 0) * 0.5; + potential[id.x + resolution * id.y] = 0; // exp(-(x-mu)*(x-mu) / (2*sigma*sigma)); +} \ No newline at end of file diff --git a/Assets/Shaders/SchrodingerCompute.compute.meta b/Assets/Shaders/SchrodingerCompute.compute.meta new file mode 100644 index 0000000..8f4d570 --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute.meta @@ -0,0 +1,9 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* dx); + float2 d2PsiByDy2 = (psi(id.x, id.y + 1) - 2 * psi(id.x, id.y) + psi(id.x, id.y - 1)) / (dx * dx); + // result[id.xy] = float4(d2PsiByDx2.x, d2PsiByDy2.x, 0, 1); + float2 _psi = psiIn[id.x + resolution * id.y]; + // result[id.xy] = float4(_psi.x + 0.5, _psi.y + 0.5, 0, 1.0f); + // result[id.xy] = float4(intensity * (_psi.x+0.5), intensity * (_psi.y + 0.5), intensity, 1.0f); + float intensity = _psi.x*_psi.x + _psi.y*_psi.y; + result[id.xy] = float4(intensity, intensity, intensity, 1.0f); +} diff --git a/Assets/Shaders/Visualization.compute.meta b/Assets/Shaders/Visualization.compute.meta new file mode 100644 index 0000000..dab1c8b --- /dev/null +++ b/Assets/Shaders/Visualization.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: c949a119cc67aa347a6c6df53f77ffdf +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Packages/manifest.json b/Packages/manifest.json new 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externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Scripts.meta b/Assets/Scripts.meta new file mode 100644 index 0000000..928f668 --- /dev/null +++ b/Assets/Scripts.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: 3b2a313ca00408e4bb29a0479cbcf610 +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Scripts/Display.cs b/Assets/Scripts/Display.cs new file mode 100644 index 0000000..b0dc5ba --- /dev/null +++ b/Assets/Scripts/Display.cs @@ -0,0 +1,51 @@ +using System.Collections; +using System.Collections.Generic; +using UnityEngine; +using UnityEngine.UI; + +public class Display : MonoBehaviour +{ + public ComputeShader schrodinger, visualization; + public RenderTexture texture; + public ComputeBuffer psi, potential; + public int resolution = 512; + public int speed = 100; + public Text time; + public int elapsedTime = 0; + + private void Start() { + psi = new ComputeBuffer(resolution * resolution * 8, 8); + // GC.KeepAlive(psiOld); + potential = new ComputeBuffer(resolution * resolution * 4, 4); + + texture = new RenderTexture(resolution, resolution, 2); + texture.enableRandomWrite = true; + texture.Create(); + + int kernel = schrodinger.FindKernel("initialize"); + schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int kernel = schrodinger.FindKernel("process"); + schrodinger.SetInt("speed", speed); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + for (int i = 0; i < speed; i++) { + schrodinger.Dispatch(kernel, 8, 8, 1); + } + elapsedTime += speed; + time.text = string.Format("time: {0} us", (float)elapsedTime / 200); + visualization.SetBuffer(0, "psiIn", psi); + visualization.SetTexture(0, "result", texture); + visualization.Dispatch(0, 8, 8, 1); + } + + private void OnRenderImage(RenderTexture before, RenderTexture destination) { + Graphics.Blit(texture, destination); + } +} diff --git a/Assets/Scripts/Display.cs.meta b/Assets/Scripts/Display.cs.meta new file mode 100644 index 0000000..78f9f60 --- /dev/null +++ b/Assets/Scripts/Display.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: c147d2d32f2189545bd8eb6e93fad190 +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders.meta b/Assets/Shaders.meta new file mode 100644 index 0000000..2d603bb --- /dev/null +++ b/Assets/Shaders.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: b51f1d57807a92c4b86406339fdac8dc +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/SchrodingerCompute.compute b/Assets/Shaders/SchrodingerCompute.compute new file mode 100644 index 0000000..91bf1cb --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute @@ -0,0 +1,58 @@ +#pragma kernel process +#pragma kernel initialize + +RWStructuredBuffer psi; +RWStructuredBuffer potential; + +int resolution; +static const float PI = 3.14159265; +static const float dt = 1e-9; +int speed; + +float V(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 1e11; + } + return -5e5 * potential[x + resolution * y]; +} + +float2 psi_(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psi[x + resolution * y]; +} + +float2 timesI(float2 number) { + return float2(-number.y, number.x); +} + +[numthreads(32,32,1)] +void process (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi_(id.x + 1, id.y) - 2 * psi_(id.x, id.y) + psi_(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi_(id.x, id.y + 1) - 2 * psi_(id.x, id.y) + psi_(id.x, id.y - 1)) / (dx * dx); + float2 dPsiByDt = timesI((d2PsiByDx2 + d2PsiByDy2) - psi_(id.x, id.y) * V(id.x, id.y)); + float2 result = psi[id.x + resolution * id.y] + dPsiByDt * dt; + GroupMemoryBarrierWithGroupSync(); + psi[id.x + resolution * id.y] = result; +} + +static const float mu = 0.5; +static const float sigma = 0.05; + +[numthreads(32,32,1)] +void initialize(uint3 id: SV_DispatchThreadID) { + float x = (float) id.x / resolution; + float y = (float) id.y / resolution; + if (x >= 0.25 && x <= 0.75) { + psi[id.x + resolution * id.y] = float2(sin(4*PI*(x-0.25)), sin(4*PI*(x-0.125))) * sin(2*PI*(x-0.25)) * sin(PI*y); + } else { + psi[id.x + resolution*id.y] = float2(0, 0); + } + // psi[id.x + resolution * id.y] = float2((sin(16*x*PI)) * sin(y * PI), 0) * 0.5; + potential[id.x + resolution * id.y] = 0; // exp(-(x-mu)*(x-mu) / (2*sigma*sigma)); +} \ No newline at end of file diff --git a/Assets/Shaders/SchrodingerCompute.compute.meta b/Assets/Shaders/SchrodingerCompute.compute.meta new file mode 100644 index 0000000..8f4d570 --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 979c7135e7e183e43bf950b33bf979d1 +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/Visualization.compute b/Assets/Shaders/Visualization.compute new file mode 100644 index 0000000..538f40e --- /dev/null +++ b/Assets/Shaders/Visualization.compute @@ -0,0 +1,29 @@ +#pragma kernel CSMain + +RWStructuredBuffer psiIn; +RWTexture2D result; +int resolution; + +float2 psi(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psiIn[x + resolution * y]; +} + +[numthreads(32,32,1)] +void CSMain (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + result[id.xy] = float4(0, 0, 0, 1.0f); + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi(id.x + 1, id.y) - 2 * psi(id.x, id.y) + psi(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi(id.x, id.y + 1) - 2 * psi(id.x, id.y) + psi(id.x, id.y - 1)) / (dx * dx); + // result[id.xy] = float4(d2PsiByDx2.x, d2PsiByDy2.x, 0, 1); + float2 _psi = psiIn[id.x + resolution * id.y]; + // result[id.xy] = float4(_psi.x + 0.5, _psi.y + 0.5, 0, 1.0f); + // result[id.xy] = float4(intensity * (_psi.x+0.5), intensity * (_psi.y + 0.5), intensity, 1.0f); + float intensity = _psi.x*_psi.x + _psi.y*_psi.y; + result[id.xy] = float4(intensity, intensity, intensity, 1.0f); +} diff --git a/Assets/Shaders/Visualization.compute.meta b/Assets/Shaders/Visualization.compute.meta new file mode 100644 index 0000000..dab1c8b --- /dev/null +++ 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index 0000000..c1e3c88 --- /dev/null +++ b/Assets/Scenes/SampleScene.unity.meta @@ -0,0 +1,7 @@ +fileFormatVersion: 2 +guid: 2cda990e2423bbf4892e6590ba056729 +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Scripts.meta b/Assets/Scripts.meta new file mode 100644 index 0000000..928f668 --- /dev/null +++ b/Assets/Scripts.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: 3b2a313ca00408e4bb29a0479cbcf610 +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Scripts/Display.cs b/Assets/Scripts/Display.cs new file mode 100644 index 0000000..b0dc5ba --- /dev/null +++ b/Assets/Scripts/Display.cs @@ -0,0 +1,51 @@ +using System.Collections; +using System.Collections.Generic; +using UnityEngine; +using UnityEngine.UI; + +public class Display : MonoBehaviour +{ + public ComputeShader schrodinger, visualization; + public RenderTexture texture; + public ComputeBuffer psi, potential; + public int resolution = 512; + public int speed = 100; + public Text time; + public int elapsedTime = 0; + + private void Start() { + psi = new ComputeBuffer(resolution * resolution * 8, 8); + // GC.KeepAlive(psiOld); + potential = new ComputeBuffer(resolution * resolution * 4, 4); + + texture = new RenderTexture(resolution, resolution, 2); + texture.enableRandomWrite = true; + texture.Create(); + + int kernel = schrodinger.FindKernel("initialize"); + schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int kernel = schrodinger.FindKernel("process"); + schrodinger.SetInt("speed", speed); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + for (int i = 0; i < speed; i++) { + schrodinger.Dispatch(kernel, 8, 8, 1); + } + elapsedTime += speed; + time.text = string.Format("time: {0} us", (float)elapsedTime / 200); + visualization.SetBuffer(0, "psiIn", psi); + visualization.SetTexture(0, "result", texture); + visualization.Dispatch(0, 8, 8, 1); + } + + private void OnRenderImage(RenderTexture before, RenderTexture destination) { + Graphics.Blit(texture, destination); + } +} diff --git a/Assets/Scripts/Display.cs.meta b/Assets/Scripts/Display.cs.meta new file mode 100644 index 0000000..78f9f60 --- /dev/null +++ b/Assets/Scripts/Display.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: c147d2d32f2189545bd8eb6e93fad190 +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders.meta b/Assets/Shaders.meta new file mode 100644 index 0000000..2d603bb --- /dev/null +++ b/Assets/Shaders.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: b51f1d57807a92c4b86406339fdac8dc +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/SchrodingerCompute.compute b/Assets/Shaders/SchrodingerCompute.compute new file mode 100644 index 0000000..91bf1cb --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute @@ -0,0 +1,58 @@ +#pragma kernel process +#pragma kernel initialize + +RWStructuredBuffer psi; +RWStructuredBuffer potential; + +int resolution; +static const float PI = 3.14159265; +static const float dt = 1e-9; +int speed; + +float V(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 1e11; + } + return -5e5 * potential[x + resolution * y]; +} + +float2 psi_(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psi[x + resolution * y]; +} + +float2 timesI(float2 number) { + return float2(-number.y, number.x); +} + +[numthreads(32,32,1)] +void process (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi_(id.x + 1, id.y) - 2 * psi_(id.x, id.y) + psi_(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi_(id.x, id.y + 1) - 2 * psi_(id.x, id.y) + psi_(id.x, id.y - 1)) / (dx * dx); + float2 dPsiByDt = timesI((d2PsiByDx2 + d2PsiByDy2) - psi_(id.x, id.y) * V(id.x, id.y)); + float2 result = psi[id.x + resolution * id.y] + dPsiByDt * dt; + GroupMemoryBarrierWithGroupSync(); + psi[id.x + resolution * id.y] = result; +} + +static const float mu = 0.5; +static const float sigma = 0.05; + +[numthreads(32,32,1)] +void initialize(uint3 id: SV_DispatchThreadID) { + float x = (float) id.x / resolution; + float y = (float) id.y / resolution; + if (x >= 0.25 && x <= 0.75) { + psi[id.x + resolution * id.y] = float2(sin(4*PI*(x-0.25)), sin(4*PI*(x-0.125))) * sin(2*PI*(x-0.25)) * sin(PI*y); + } else { + psi[id.x + resolution*id.y] = float2(0, 0); + } + // psi[id.x + resolution * id.y] = float2((sin(16*x*PI)) * sin(y * PI), 0) * 0.5; + potential[id.x + resolution * id.y] = 0; // exp(-(x-mu)*(x-mu) / (2*sigma*sigma)); +} \ No newline at end of file diff --git a/Assets/Shaders/SchrodingerCompute.compute.meta b/Assets/Shaders/SchrodingerCompute.compute.meta new file mode 100644 index 0000000..8f4d570 --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 979c7135e7e183e43bf950b33bf979d1 +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/Visualization.compute b/Assets/Shaders/Visualization.compute new file mode 100644 index 0000000..538f40e --- /dev/null +++ b/Assets/Shaders/Visualization.compute @@ -0,0 +1,29 @@ +#pragma kernel CSMain + +RWStructuredBuffer psiIn; +RWTexture2D result; +int resolution; + +float2 psi(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psiIn[x + resolution * y]; +} + +[numthreads(32,32,1)] +void CSMain (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + result[id.xy] = float4(0, 0, 0, 1.0f); + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi(id.x + 1, id.y) - 2 * psi(id.x, id.y) + psi(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi(id.x, id.y + 1) - 2 * psi(id.x, id.y) + psi(id.x, id.y - 1)) / (dx * dx); + // result[id.xy] = float4(d2PsiByDx2.x, d2PsiByDy2.x, 0, 1); + float2 _psi = psiIn[id.x + resolution * id.y]; + // result[id.xy] = float4(_psi.x + 0.5, _psi.y + 0.5, 0, 1.0f); + // result[id.xy] = float4(intensity * (_psi.x+0.5), intensity * (_psi.y + 0.5), intensity, 1.0f); + float intensity = _psi.x*_psi.x + _psi.y*_psi.y; + result[id.xy] = 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RenderTexture(resolution, resolution, 2); + texture.enableRandomWrite = true; + texture.Create(); + + int kernel = schrodinger.FindKernel("initialize"); + schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int kernel = schrodinger.FindKernel("process"); + schrodinger.SetInt("speed", speed); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + for (int i = 0; i < speed; i++) { + schrodinger.Dispatch(kernel, 8, 8, 1); + } + elapsedTime += speed; + time.text = string.Format("time: {0} us", (float)elapsedTime / 200); + visualization.SetBuffer(0, "psiIn", psi); + visualization.SetTexture(0, "result", texture); + visualization.Dispatch(0, 8, 8, 1); + } + + private void OnRenderImage(RenderTexture before, RenderTexture destination) { + Graphics.Blit(texture, destination); + } +} diff --git a/Assets/Scripts/Display.cs.meta b/Assets/Scripts/Display.cs.meta new file mode 100644 index 0000000..78f9f60 --- /dev/null +++ b/Assets/Scripts/Display.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: c147d2d32f2189545bd8eb6e93fad190 +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders.meta b/Assets/Shaders.meta new file mode 100644 index 0000000..2d603bb --- /dev/null +++ b/Assets/Shaders.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: b51f1d57807a92c4b86406339fdac8dc +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/SchrodingerCompute.compute b/Assets/Shaders/SchrodingerCompute.compute new file mode 100644 index 0000000..91bf1cb --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute @@ -0,0 +1,58 @@ +#pragma kernel process +#pragma kernel initialize + +RWStructuredBuffer psi; +RWStructuredBuffer potential; + +int resolution; +static const float PI = 3.14159265; +static const float dt = 1e-9; +int speed; + +float V(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 1e11; + } + return -5e5 * potential[x + resolution * y]; +} + +float2 psi_(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psi[x + resolution * y]; +} + +float2 timesI(float2 number) { + return float2(-number.y, number.x); +} + +[numthreads(32,32,1)] +void process (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi_(id.x + 1, id.y) - 2 * psi_(id.x, id.y) + psi_(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi_(id.x, id.y + 1) - 2 * psi_(id.x, id.y) + psi_(id.x, id.y - 1)) / (dx * dx); + float2 dPsiByDt = timesI((d2PsiByDx2 + d2PsiByDy2) - psi_(id.x, id.y) * V(id.x, id.y)); + float2 result = psi[id.x + resolution * id.y] + dPsiByDt * dt; + GroupMemoryBarrierWithGroupSync(); + psi[id.x + resolution * id.y] = result; +} + +static const float mu = 0.5; +static const float sigma = 0.05; + +[numthreads(32,32,1)] +void initialize(uint3 id: SV_DispatchThreadID) { + float x = (float) id.x / resolution; + float y = (float) id.y / resolution; + if (x >= 0.25 && x <= 0.75) { + psi[id.x + resolution * id.y] = float2(sin(4*PI*(x-0.25)), sin(4*PI*(x-0.125))) * sin(2*PI*(x-0.25)) * sin(PI*y); + } else { + psi[id.x + resolution*id.y] = float2(0, 0); + } + // psi[id.x + resolution * id.y] = float2((sin(16*x*PI)) * sin(y * PI), 0) * 0.5; + potential[id.x + resolution * id.y] = 0; // exp(-(x-mu)*(x-mu) / (2*sigma*sigma)); +} \ No newline at end of file diff --git a/Assets/Shaders/SchrodingerCompute.compute.meta b/Assets/Shaders/SchrodingerCompute.compute.meta new file mode 100644 index 0000000..8f4d570 --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 979c7135e7e183e43bf950b33bf979d1 +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/Visualization.compute b/Assets/Shaders/Visualization.compute new file mode 100644 index 0000000..538f40e --- /dev/null +++ b/Assets/Shaders/Visualization.compute @@ -0,0 +1,29 @@ +#pragma kernel CSMain + +RWStructuredBuffer psiIn; +RWTexture2D result; +int resolution; + +float2 psi(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psiIn[x + resolution * y]; +} + +[numthreads(32,32,1)] +void CSMain (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + result[id.xy] = float4(0, 0, 0, 1.0f); + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi(id.x + 1, id.y) - 2 * psi(id.x, id.y) + psi(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi(id.x, id.y + 1) - 2 * psi(id.x, id.y) + psi(id.x, id.y - 1)) / (dx * dx); + // result[id.xy] = float4(d2PsiByDx2.x, d2PsiByDy2.x, 0, 1); + float2 _psi = psiIn[id.x + resolution * id.y]; + // result[id.xy] = float4(_psi.x + 0.5, _psi.y + 0.5, 0, 1.0f); + // result[id.xy] = float4(intensity * (_psi.x+0.5), intensity * (_psi.y + 0.5), intensity, 1.0f); + float intensity = _psi.x*_psi.x + _psi.y*_psi.y; + result[id.xy] = float4(intensity, intensity, intensity, 1.0f); +} diff --git a/Assets/Shaders/Visualization.compute.meta b/Assets/Shaders/Visualization.compute.meta new file mode 100644 index 0000000..dab1c8b --- /dev/null +++ b/Assets/Shaders/Visualization.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 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2 +guid: 2cda990e2423bbf4892e6590ba056729 +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Scripts.meta b/Assets/Scripts.meta new file mode 100644 index 0000000..928f668 --- /dev/null +++ b/Assets/Scripts.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: 3b2a313ca00408e4bb29a0479cbcf610 +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Scripts/Display.cs b/Assets/Scripts/Display.cs new file mode 100644 index 0000000..b0dc5ba --- /dev/null +++ b/Assets/Scripts/Display.cs @@ -0,0 +1,51 @@ +using System.Collections; +using System.Collections.Generic; +using UnityEngine; +using UnityEngine.UI; + +public class Display : MonoBehaviour +{ + public ComputeShader schrodinger, visualization; + public RenderTexture texture; + public ComputeBuffer psi, potential; + public int resolution = 512; + public int speed = 100; + public Text time; + public int elapsedTime = 0; + + private void Start() { + psi = new ComputeBuffer(resolution * resolution * 8, 8); + // GC.KeepAlive(psiOld); + potential = new ComputeBuffer(resolution * resolution * 4, 4); + + texture = new RenderTexture(resolution, resolution, 2); + texture.enableRandomWrite = true; + texture.Create(); + + int kernel = schrodinger.FindKernel("initialize"); + schrodinger.SetInt("resolution", resolution); + visualization.SetInt("resolution", resolution); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + schrodinger.Dispatch(kernel, 8, 8, 1); + } + + private void Update() { + int kernel = schrodinger.FindKernel("process"); + schrodinger.SetInt("speed", speed); + schrodinger.SetBuffer(kernel, "psi", psi); + schrodinger.SetBuffer(kernel, "potential", potential); + for (int i = 0; i < speed; i++) { + schrodinger.Dispatch(kernel, 8, 8, 1); + } + elapsedTime += speed; + time.text = string.Format("time: {0} us", (float)elapsedTime / 200); + visualization.SetBuffer(0, "psiIn", psi); + visualization.SetTexture(0, "result", texture); + visualization.Dispatch(0, 8, 8, 1); + } + + private void OnRenderImage(RenderTexture before, RenderTexture destination) { + Graphics.Blit(texture, destination); + } +} diff --git a/Assets/Scripts/Display.cs.meta b/Assets/Scripts/Display.cs.meta new file mode 100644 index 0000000..78f9f60 --- /dev/null +++ b/Assets/Scripts/Display.cs.meta @@ -0,0 +1,11 @@ +fileFormatVersion: 2 +guid: c147d2d32f2189545bd8eb6e93fad190 +MonoImporter: + externalObjects: {} + serializedVersion: 2 + defaultReferences: [] + executionOrder: 0 + icon: {instanceID: 0} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders.meta b/Assets/Shaders.meta new file mode 100644 index 0000000..2d603bb --- /dev/null +++ b/Assets/Shaders.meta @@ -0,0 +1,8 @@ +fileFormatVersion: 2 +guid: b51f1d57807a92c4b86406339fdac8dc +folderAsset: yes +DefaultImporter: + externalObjects: {} + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/SchrodingerCompute.compute b/Assets/Shaders/SchrodingerCompute.compute new file mode 100644 index 0000000..91bf1cb --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute @@ -0,0 +1,58 @@ +#pragma kernel process +#pragma kernel initialize + +RWStructuredBuffer psi; +RWStructuredBuffer potential; + +int resolution; +static const float PI = 3.14159265; +static const float dt = 1e-9; +int speed; + +float V(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 1e11; + } + return -5e5 * potential[x + resolution * y]; +} + +float2 psi_(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psi[x + resolution * y]; +} + +float2 timesI(float2 number) { + return float2(-number.y, number.x); +} + +[numthreads(32,32,1)] +void process (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi_(id.x + 1, id.y) - 2 * psi_(id.x, id.y) + psi_(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi_(id.x, id.y + 1) - 2 * psi_(id.x, id.y) + psi_(id.x, id.y - 1)) / (dx * dx); + float2 dPsiByDt = timesI((d2PsiByDx2 + d2PsiByDy2) - psi_(id.x, id.y) * V(id.x, id.y)); + float2 result = psi[id.x + resolution * id.y] + dPsiByDt * dt; + GroupMemoryBarrierWithGroupSync(); + psi[id.x + resolution * id.y] = result; +} + +static const float mu = 0.5; +static const float sigma = 0.05; + +[numthreads(32,32,1)] +void initialize(uint3 id: SV_DispatchThreadID) { + float x = (float) id.x / resolution; + float y = (float) id.y / resolution; + if (x >= 0.25 && x <= 0.75) { + psi[id.x + resolution * id.y] = float2(sin(4*PI*(x-0.25)), sin(4*PI*(x-0.125))) * sin(2*PI*(x-0.25)) * sin(PI*y); + } else { + psi[id.x + resolution*id.y] = float2(0, 0); + } + // psi[id.x + resolution * id.y] = float2((sin(16*x*PI)) * sin(y * PI), 0) * 0.5; + potential[id.x + resolution * id.y] = 0; // exp(-(x-mu)*(x-mu) / (2*sigma*sigma)); +} \ No newline at end of file diff --git a/Assets/Shaders/SchrodingerCompute.compute.meta b/Assets/Shaders/SchrodingerCompute.compute.meta new file mode 100644 index 0000000..8f4d570 --- /dev/null +++ b/Assets/Shaders/SchrodingerCompute.compute.meta @@ -0,0 +1,9 @@ +fileFormatVersion: 2 +guid: 979c7135e7e183e43bf950b33bf979d1 +ComputeShaderImporter: + externalObjects: {} + currentAPIMask: 4 + preprocessorOverride: 0 + userData: + assetBundleName: + assetBundleVariant: diff --git a/Assets/Shaders/Visualization.compute b/Assets/Shaders/Visualization.compute new file mode 100644 index 0000000..538f40e --- /dev/null +++ b/Assets/Shaders/Visualization.compute @@ -0,0 +1,29 @@ +#pragma kernel CSMain + +RWStructuredBuffer psiIn; +RWTexture2D result; +int resolution; + +float2 psi(int x, int y) { + if (x == 0 || x == resolution - 1 || y == 0 || y == resolution - 1) { + return 0; + } + return psiIn[x + resolution * y]; +} + +[numthreads(32,32,1)] +void CSMain (uint3 id : SV_DispatchThreadID) { + if (id.x == 0 || id.x == resolution - 1 || id.y == 0 || id.y == resolution - 1) { + result[id.xy] = float4(0, 0, 0, 1.0f); + return; + } + float dx = 1.0 / resolution; + float2 d2PsiByDx2 = (psi(id.x + 1, id.y) - 2 * psi(id.x, id.y) + psi(id.x - 1, id.y)) / (dx * dx); + float2 d2PsiByDy2 = (psi(id.x, id.y + 1) - 2 * psi(id.x, id.y) + psi(id.x, id.y - 1)) / (dx * dx); + // result[id.xy] = float4(d2PsiByDx2.x, d2PsiByDy2.x, 0, 1); + float2 _psi = psiIn[id.x + resolution * id.y]; + // result[id.xy] = float4(_psi.x + 0.5, _psi.y + 0.5, 0, 1.0f); + // result[id.xy] = float4(intensity * (_psi.x+0.5), intensity * (_psi.y + 0.5), intensity, 1.0f); + float intensity = _psi.x*_psi.x + _psi.y*_psi.y; + result[id.xy] = float4(intensity, intensity, intensity, 1.0f); +} diff --git a/Assets/Shaders/Visualization.compute.meta b/Assets/Shaders/Visualization.compute.meta 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