Remove stale HF code and temporary assets

model/garden/point_cloud/iteration_7000/point_cloud.ply

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model/jelly/events.out.tfevents.1745983161.autodl-container-7a0047a67f-b56b57bd.764007.0

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model/jelly/point_cloud/iteration_5000/point_cloud.ply

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model/watermelon/events.out.tfevents.1741704083.autodl-container-ea524596de-c52d2fbe.59520.0

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model/watermelon/point_cloud/iteration_30000/origin.ply

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model/watermelon/point_cloud/iteration_30000/point_cloud_slice.ply

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submodules/diff-gaussian-rasterization/.gitignore

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-build/
-diff_gaussian_rasterization.egg-info/
-dist/

submodules/diff-gaussian-rasterization/.gitmodules

@@ -1,3 +0,0 @@
-[submodule "third_party/glm"]
-	path = third_party/glm
-	url = https://github.com/g-truc/glm.git

submodules/diff-gaussian-rasterization/CMakeLists.txt

@@ -1,36 +0,0 @@
-#
-# Copyright (C) 2023, Inria
-# GRAPHDECO research group, https://team.inria.fr/graphdeco
-# All rights reserved.
-#
-# This software is free for non-commercial, research and evaluation use 
-# under the terms of the LICENSE.md file.
-#
-# For inquiries contact  george.drettakis@inria.fr
-#
-
-cmake_minimum_required(VERSION 3.20)
-
-project(DiffRast LANGUAGES CUDA CXX)
-
-set(CMAKE_CXX_STANDARD 17)
-set(CMAKE_CXX_EXTENSIONS OFF)
-set(CMAKE_CUDA_STANDARD 17)
-
-set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS}")
-
-add_library(CudaRasterizer
-	cuda_rasterizer/backward.h
-	cuda_rasterizer/backward.cu
-	cuda_rasterizer/forward.h
-	cuda_rasterizer/forward.cu
-	cuda_rasterizer/auxiliary.h
-	cuda_rasterizer/rasterizer_impl.cu
-	cuda_rasterizer/rasterizer_impl.h
-	cuda_rasterizer/rasterizer.h
-)
-
-set_target_properties(CudaRasterizer PROPERTIES CUDA_ARCHITECTURES "70;75;86")
-
-target_include_directories(CudaRasterizer PUBLIC ${CMAKE_CURRENT_SOURCE_DIR}/cuda_rasterizer)
-target_include_directories(CudaRasterizer PRIVATE third_party/glm ${CMAKE_CUDA_TOOLKIT_INCLUDE_DIRECTORIES})

submodules/diff-gaussian-rasterization/LICENSE.md

@@ -1,83 +0,0 @@
-Gaussian-Splatting License  
-===========================  
-
-**Inria** and **the Max Planck Institut for Informatik (MPII)** hold all the ownership rights on the *Software* named **gaussian-splatting**.  
-The *Software* is in the process of being registered with the Agence pour la Protection des  
-Programmes (APP).  
-
-The *Software* is still being developed by the *Licensor*.  
-
-*Licensor*'s goal is to allow the research community to use, test and evaluate  
-the *Software*.  
-
-## 1.  Definitions  
-
-*Licensee* means any person or entity that uses the *Software* and distributes  
-its *Work*.  
-
-*Licensor* means the owners of the *Software*, i.e Inria and MPII  
-
-*Software* means the original work of authorship made available under this  
-License ie gaussian-splatting.  
-
-*Work* means the *Software* and any additions to or derivative works of the  
-*Software* that are made available under this License.  
-
-
-## 2.  Purpose  
-This license is intended to define the rights granted to the *Licensee* by  
-Licensors under the *Software*.  
-
-## 3.  Rights granted  
-
-For the above reasons Licensors have decided to distribute the *Software*.  
-Licensors grant non-exclusive rights to use the *Software* for research purposes  
-to research users (both academic and industrial), free of charge, without right  
-to sublicense.. The *Software* may be used "non-commercially", i.e., for research  
-and/or evaluation purposes only.  
-
-Subject to the terms and conditions of this License, you are granted a  
-non-exclusive, royalty-free, license to reproduce, prepare derivative works of,  
-publicly display, publicly perform and distribute its *Work* and any resulting  
-derivative works in any form.  
-
-## 4.  Limitations  
-
-**4.1 Redistribution.** You may reproduce or distribute the *Work* only if (a) you do  
-so under this License, (b) you include a complete copy of this License with  
-your distribution, and (c) you retain without modification any copyright,  
-patent, trademark, or attribution notices that are present in the *Work*.  
-
-**4.2 Derivative Works.** You may specify that additional or different terms apply  
-to the use, reproduction, and distribution of your derivative works of the *Work*  
-("Your Terms") only if (a) Your Terms provide that the use limitation in  
-Section 2 applies to your derivative works, and (b) you identify the specific  
-derivative works that are subject to Your Terms. Notwithstanding Your Terms,  
-this License (including the redistribution requirements in Section 3.1) will  
-continue to apply to the *Work* itself.  
-
-**4.3** Any other use without of prior consent of Licensors is prohibited. Research  
-users explicitly acknowledge having received from Licensors all information  
-allowing to appreciate the adequacy between of the *Software* and their needs and  
-to undertake all necessary precautions for its execution and use.  
-
-**4.4** The *Software* is provided both as a compiled library file and as source  
-code. In case of using the *Software* for a publication or other results obtained  
-through the use of the *Software*, users are strongly encouraged to cite the  
-corresponding publications as explained in the documentation of the *Software*.  
-
-## 5.  Disclaimer  
-
-THE USER CANNOT USE, EXPLOIT OR DISTRIBUTE THE *SOFTWARE* FOR COMMERCIAL PURPOSES  
-WITHOUT PRIOR AND EXPLICIT CONSENT OF LICENSORS. YOU MUST CONTACT INRIA FOR ANY  
-UNAUTHORIZED USE: stip-sophia.transfert@inria.fr . ANY SUCH ACTION WILL  
-CONSTITUTE A FORGERY. THIS *SOFTWARE* IS PROVIDED "AS IS" WITHOUT ANY WARRANTIES  
-OF ANY NATURE AND ANY EXPRESS OR IMPLIED WARRANTIES, WITH REGARDS TO COMMERCIAL  
-USE, PROFESSIONNAL USE, LEGAL OR NOT, OR OTHER, OR COMMERCIALISATION OR  
-ADAPTATION. UNLESS EXPLICITLY PROVIDED BY LAW, IN NO EVENT, SHALL INRIA OR THE  
-AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR  
-CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE  
-GOODS OR SERVICES, LOSS OF USE, DATA, OR PROFITS OR BUSINESS INTERRUPTION)  
-HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT  
-LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING FROM, OUT OF OR  
-IN CONNECTION WITH THE *SOFTWARE* OR THE USE OR OTHER DEALINGS IN THE *SOFTWARE*.  

submodules/diff-gaussian-rasterization/README.md

@@ -1,19 +0,0 @@
-# Differential Gaussian Rasterization
-
-Used as the rasterization engine for the paper "3D Gaussian Splatting for Real-Time Rendering of Radiance Fields". If you can make use of it in your own research, please be so kind to cite us.
-
-<section class="section" id="BibTeX">
-  <div class="container is-max-desktop content">
-    <h2 class="title">BibTeX</h2>
-    <pre><code>@Article{kerbl3Dgaussians,
-      author       = {Kerbl, Bernhard and Kopanas, Georgios and Leimk{\"u}hler, Thomas and Drettakis, George},
-      title        = {3D Gaussian Splatting for Real-Time Radiance Field Rendering},
-      journal      = {ACM Transactions on Graphics},
-      number       = {4},
-      volume       = {42},
-      month        = {July},
-      year         = {2023},
-      url          = {https://repo-sam.inria.fr/fungraph/3d-gaussian-splatting/}
-}</code></pre>
-  </div>
-</section>

submodules/diff-gaussian-rasterization/cuda_rasterizer/auxiliary.h

@@ -1,175 +0,0 @@
-/*
- * Copyright (C) 2023, Inria
- * GRAPHDECO research group, https://team.inria.fr/graphdeco
- * All rights reserved.
- *
- * This software is free for non-commercial, research and evaluation use 
- * under the terms of the LICENSE.md file.
- *
- * For inquiries contact  george.drettakis@inria.fr
- */
-
-#ifndef CUDA_RASTERIZER_AUXILIARY_H_INCLUDED
-#define CUDA_RASTERIZER_AUXILIARY_H_INCLUDED
-
-#include "config.h"
-#include "stdio.h"
-
-#define BLOCK_SIZE (BLOCK_X * BLOCK_Y)
-#define NUM_WARPS (BLOCK_SIZE/32)
-
-// Spherical harmonics coefficients
-__device__ const float SH_C0 = 0.28209479177387814f;
-__device__ const float SH_C1 = 0.4886025119029199f;
-__device__ const float SH_C2[] = {
-	1.0925484305920792f,
-	-1.0925484305920792f,
-	0.31539156525252005f,
-	-1.0925484305920792f,
-	0.5462742152960396f
-};
-__device__ const float SH_C3[] = {
-	-0.5900435899266435f,
-	2.890611442640554f,
-	-0.4570457994644658f,
-	0.3731763325901154f,
-	-0.4570457994644658f,
-	1.445305721320277f,
-	-0.5900435899266435f
-};
-
-__forceinline__ __device__ float ndc2Pix(float v, int S)
-{
-	return ((v + 1.0) * S - 1.0) * 0.5;
-}
-
-__forceinline__ __device__ void getRect(const float2 p, int max_radius, uint2& rect_min, uint2& rect_max, dim3 grid)
-{
-	rect_min = {
-		min(grid.x, max((int)0, (int)((p.x - max_radius) / BLOCK_X))),
-		min(grid.y, max((int)0, (int)((p.y - max_radius) / BLOCK_Y)))
-	};
-	rect_max = {
-		min(grid.x, max((int)0, (int)((p.x + max_radius + BLOCK_X - 1) / BLOCK_X))),
-		min(grid.y, max((int)0, (int)((p.y + max_radius + BLOCK_Y - 1) / BLOCK_Y)))
-	};
-}
-
-__forceinline__ __device__ float3 transformPoint4x3(const float3& p, const float* matrix)
-{
-	float3 transformed = {
-		matrix[0] * p.x + matrix[4] * p.y + matrix[8] * p.z + matrix[12],
-		matrix[1] * p.x + matrix[5] * p.y + matrix[9] * p.z + matrix[13],
-		matrix[2] * p.x + matrix[6] * p.y + matrix[10] * p.z + matrix[14],
-	};
-	return transformed;
-}
-
-__forceinline__ __device__ float4 transformPoint4x4(const float3& p, const float* matrix)
-{
-	float4 transformed = {
-		matrix[0] * p.x + matrix[4] * p.y + matrix[8] * p.z + matrix[12],
-		matrix[1] * p.x + matrix[5] * p.y + matrix[9] * p.z + matrix[13],
-		matrix[2] * p.x + matrix[6] * p.y + matrix[10] * p.z + matrix[14],
-		matrix[3] * p.x + matrix[7] * p.y + matrix[11] * p.z + matrix[15]
-	};
-	return transformed;
-}
-
-__forceinline__ __device__ float3 transformVec4x3(const float3& p, const float* matrix)
-{
-	float3 transformed = {
-		matrix[0] * p.x + matrix[4] * p.y + matrix[8] * p.z,
-		matrix[1] * p.x + matrix[5] * p.y + matrix[9] * p.z,
-		matrix[2] * p.x + matrix[6] * p.y + matrix[10] * p.z,
-	};
-	return transformed;
-}
-
-__forceinline__ __device__ float3 transformVec4x3Transpose(const float3& p, const float* matrix)
-{
-	float3 transformed = {
-		matrix[0] * p.x + matrix[1] * p.y + matrix[2] * p.z,
-		matrix[4] * p.x + matrix[5] * p.y + matrix[6] * p.z,
-		matrix[8] * p.x + matrix[9] * p.y + matrix[10] * p.z,
-	};
-	return transformed;
-}
-
-__forceinline__ __device__ float dnormvdz(float3 v, float3 dv)
-{
-	float sum2 = v.x * v.x + v.y * v.y + v.z * v.z;
-	float invsum32 = 1.0f / sqrt(sum2 * sum2 * sum2);
-	float dnormvdz = (-v.x * v.z * dv.x - v.y * v.z * dv.y + (sum2 - v.z * v.z) * dv.z) * invsum32;
-	return dnormvdz;
-}
-
-__forceinline__ __device__ float3 dnormvdv(float3 v, float3 dv)
-{
-	float sum2 = v.x * v.x + v.y * v.y + v.z * v.z;
-	float invsum32 = 1.0f / sqrt(sum2 * sum2 * sum2);
-
-	float3 dnormvdv;
-	dnormvdv.x = ((+sum2 - v.x * v.x) * dv.x - v.y * v.x * dv.y - v.z * v.x * dv.z) * invsum32;
-	dnormvdv.y = (-v.x * v.y * dv.x + (sum2 - v.y * v.y) * dv.y - v.z * v.y * dv.z) * invsum32;
-	dnormvdv.z = (-v.x * v.z * dv.x - v.y * v.z * dv.y + (sum2 - v.z * v.z) * dv.z) * invsum32;
-	return dnormvdv;
-}
-
-__forceinline__ __device__ float4 dnormvdv(float4 v, float4 dv)
-{
-	float sum2 = v.x * v.x + v.y * v.y + v.z * v.z + v.w * v.w;
-	float invsum32 = 1.0f / sqrt(sum2 * sum2 * sum2);
-
-	float4 vdv = { v.x * dv.x, v.y * dv.y, v.z * dv.z, v.w * dv.w };
-	float vdv_sum = vdv.x + vdv.y + vdv.z + vdv.w;
-	float4 dnormvdv;
-	dnormvdv.x = ((sum2 - v.x * v.x) * dv.x - v.x * (vdv_sum - vdv.x)) * invsum32;
-	dnormvdv.y = ((sum2 - v.y * v.y) * dv.y - v.y * (vdv_sum - vdv.y)) * invsum32;
-	dnormvdv.z = ((sum2 - v.z * v.z) * dv.z - v.z * (vdv_sum - vdv.z)) * invsum32;
-	dnormvdv.w = ((sum2 - v.w * v.w) * dv.w - v.w * (vdv_sum - vdv.w)) * invsum32;
-	return dnormvdv;
-}
-
-__forceinline__ __device__ float sigmoid(float x)
-{
-	return 1.0f / (1.0f + expf(-x));
-}
-
-__forceinline__ __device__ bool in_frustum(int idx,
-	const float* orig_points,
-	const float* viewmatrix,
-	const float* projmatrix,
-	bool prefiltered,
-	float3& p_view)
-{
-	float3 p_orig = { orig_points[3 * idx], orig_points[3 * idx + 1], orig_points[3 * idx + 2] };
-
-	// Bring points to screen space
-	float4 p_hom = transformPoint4x4(p_orig, projmatrix);
-	float p_w = 1.0f / (p_hom.w + 0.0000001f);
-	float3 p_proj = { p_hom.x * p_w, p_hom.y * p_w, p_hom.z * p_w };
-	p_view = transformPoint4x3(p_orig, viewmatrix);
-
-	if (p_view.z <= 0.2f)// || ((p_proj.x < -1.3 || p_proj.x > 1.3 || p_proj.y < -1.3 || p_proj.y > 1.3)))
-	{
-		if (prefiltered)
-		{
-			printf("Point is filtered although prefiltered is set. This shouldn't happen!");
-			__trap();
-		}
-		return false;
-	}
-	return true;
-}
-
-#define CHECK_CUDA(A, debug) \
-A; if(debug) { \
-auto ret = cudaDeviceSynchronize(); \
-if (ret != cudaSuccess) { \
-std::cerr << "\n[CUDA ERROR] in " << __FILE__ << "\nLine " << __LINE__ << ": " << cudaGetErrorString(ret); \
-throw std::runtime_error(cudaGetErrorString(ret)); \
-} \
-}
-
-#endif

submodules/diff-gaussian-rasterization/cuda_rasterizer/backward.cu

@@ -1,657 +0,0 @@
-/*
- * Copyright (C) 2023, Inria
- * GRAPHDECO research group, https://team.inria.fr/graphdeco
- * All rights reserved.
- *
- * This software is free for non-commercial, research and evaluation use 
- * under the terms of the LICENSE.md file.
- *
- * For inquiries contact  george.drettakis@inria.fr
- */
-
-#include "backward.h"
-#include "auxiliary.h"
-#include <cooperative_groups.h>
-#include <cooperative_groups/reduce.h>
-namespace cg = cooperative_groups;
-
-// Backward pass for conversion of spherical harmonics to RGB for
-// each Gaussian.
-__device__ void computeColorFromSH(int idx, int deg, int max_coeffs, const glm::vec3* means, glm::vec3 campos, const float* shs, const bool* clamped, const glm::vec3* dL_dcolor, glm::vec3* dL_dmeans, glm::vec3* dL_dshs)
-{
-	// Compute intermediate values, as it is done during forward
-	glm::vec3 pos = means[idx];
-	glm::vec3 dir_orig = pos - campos;
-	glm::vec3 dir = dir_orig / glm::length(dir_orig);
-
-	glm::vec3* sh = ((glm::vec3*)shs) + idx * max_coeffs;
-
-	// Use PyTorch rule for clamping: if clamping was applied,
-	// gradient becomes 0.
-	glm::vec3 dL_dRGB = dL_dcolor[idx];
-	dL_dRGB.x *= clamped[3 * idx + 0] ? 0 : 1;
-	dL_dRGB.y *= clamped[3 * idx + 1] ? 0 : 1;
-	dL_dRGB.z *= clamped[3 * idx + 2] ? 0 : 1;
-
-	glm::vec3 dRGBdx(0, 0, 0);
-	glm::vec3 dRGBdy(0, 0, 0);
-	glm::vec3 dRGBdz(0, 0, 0);
-	float x = dir.x;
-	float y = dir.y;
-	float z = dir.z;
-
-	// Target location for this Gaussian to write SH gradients to
-	glm::vec3* dL_dsh = dL_dshs + idx * max_coeffs;
-
-	// No tricks here, just high school-level calculus.
-	float dRGBdsh0 = SH_C0;
-	dL_dsh[0] = dRGBdsh0 * dL_dRGB;
-	if (deg > 0)
-	{
-		float dRGBdsh1 = -SH_C1 * y;
-		float dRGBdsh2 = SH_C1 * z;
-		float dRGBdsh3 = -SH_C1 * x;
-		dL_dsh[1] = dRGBdsh1 * dL_dRGB;
-		dL_dsh[2] = dRGBdsh2 * dL_dRGB;
-		dL_dsh[3] = dRGBdsh3 * dL_dRGB;
-
-		dRGBdx = -SH_C1 * sh[3];
-		dRGBdy = -SH_C1 * sh[1];
-		dRGBdz = SH_C1 * sh[2];
-
-		if (deg > 1)
-		{
-			float xx = x * x, yy = y * y, zz = z * z;
-			float xy = x * y, yz = y * z, xz = x * z;
-
-			float dRGBdsh4 = SH_C2[0] * xy;
-			float dRGBdsh5 = SH_C2[1] * yz;
-			float dRGBdsh6 = SH_C2[2] * (2.f * zz - xx - yy);
-			float dRGBdsh7 = SH_C2[3] * xz;
-			float dRGBdsh8 = SH_C2[4] * (xx - yy);
-			dL_dsh[4] = dRGBdsh4 * dL_dRGB;
-			dL_dsh[5] = dRGBdsh5 * dL_dRGB;
-			dL_dsh[6] = dRGBdsh6 * dL_dRGB;
-			dL_dsh[7] = dRGBdsh7 * dL_dRGB;
-			dL_dsh[8] = dRGBdsh8 * dL_dRGB;
-
-			dRGBdx += SH_C2[0] * y * sh[4] + SH_C2[2] * 2.f * -x * sh[6] + SH_C2[3] * z * sh[7] + SH_C2[4] * 2.f * x * sh[8];
-			dRGBdy += SH_C2[0] * x * sh[4] + SH_C2[1] * z * sh[5] + SH_C2[2] * 2.f * -y * sh[6] + SH_C2[4] * 2.f * -y * sh[8];
-			dRGBdz += SH_C2[1] * y * sh[5] + SH_C2[2] * 2.f * 2.f * z * sh[6] + SH_C2[3] * x * sh[7];
-
-			if (deg > 2)
-			{
-				float dRGBdsh9 = SH_C3[0] * y * (3.f * xx - yy);
-				float dRGBdsh10 = SH_C3[1] * xy * z;
-				float dRGBdsh11 = SH_C3[2] * y * (4.f * zz - xx - yy);
-				float dRGBdsh12 = SH_C3[3] * z * (2.f * zz - 3.f * xx - 3.f * yy);
-				float dRGBdsh13 = SH_C3[4] * x * (4.f * zz - xx - yy);
-				float dRGBdsh14 = SH_C3[5] * z * (xx - yy);
-				float dRGBdsh15 = SH_C3[6] * x * (xx - 3.f * yy);
-				dL_dsh[9] = dRGBdsh9 * dL_dRGB;
-				dL_dsh[10] = dRGBdsh10 * dL_dRGB;
-				dL_dsh[11] = dRGBdsh11 * dL_dRGB;
-				dL_dsh[12] = dRGBdsh12 * dL_dRGB;
-				dL_dsh[13] = dRGBdsh13 * dL_dRGB;
-				dL_dsh[14] = dRGBdsh14 * dL_dRGB;
-				dL_dsh[15] = dRGBdsh15 * dL_dRGB;
-
-				dRGBdx += (
-					SH_C3[0] * sh[9] * 3.f * 2.f * xy +
-					SH_C3[1] * sh[10] * yz +
-					SH_C3[2] * sh[11] * -2.f * xy +
-					SH_C3[3] * sh[12] * -3.f * 2.f * xz +
-					SH_C3[4] * sh[13] * (-3.f * xx + 4.f * zz - yy) +
-					SH_C3[5] * sh[14] * 2.f * xz +
-					SH_C3[6] * sh[15] * 3.f * (xx - yy));
-
-				dRGBdy += (
-					SH_C3[0] * sh[9] * 3.f * (xx - yy) +
-					SH_C3[1] * sh[10] * xz +
-					SH_C3[2] * sh[11] * (-3.f * yy + 4.f * zz - xx) +
-					SH_C3[3] * sh[12] * -3.f * 2.f * yz +
-					SH_C3[4] * sh[13] * -2.f * xy +
-					SH_C3[5] * sh[14] * -2.f * yz +
-					SH_C3[6] * sh[15] * -3.f * 2.f * xy);
-
-				dRGBdz += (
-					SH_C3[1] * sh[10] * xy +
-					SH_C3[2] * sh[11] * 4.f * 2.f * yz +
-					SH_C3[3] * sh[12] * 3.f * (2.f * zz - xx - yy) +
-					SH_C3[4] * sh[13] * 4.f * 2.f * xz +
-					SH_C3[5] * sh[14] * (xx - yy));
-			}
-		}
-	}
-
-	// The view direction is an input to the computation. View direction
-	// is influenced by the Gaussian's mean, so SHs gradients
-	// must propagate back into 3D position.
-	glm::vec3 dL_ddir(glm::dot(dRGBdx, dL_dRGB), glm::dot(dRGBdy, dL_dRGB), glm::dot(dRGBdz, dL_dRGB));
-
-	// Account for normalization of direction
-	float3 dL_dmean = dnormvdv(float3{ dir_orig.x, dir_orig.y, dir_orig.z }, float3{ dL_ddir.x, dL_ddir.y, dL_ddir.z });
-
-	// Gradients of loss w.r.t. Gaussian means, but only the portion 
-	// that is caused because the mean affects the view-dependent color.
-	// Additional mean gradient is accumulated in below methods.
-	dL_dmeans[idx] += glm::vec3(dL_dmean.x, dL_dmean.y, dL_dmean.z);
-}
-
-// Backward version of INVERSE 2D covariance matrix computation
-// (due to length launched as separate kernel before other 
-// backward steps contained in preprocess)
-__global__ void computeCov2DCUDA(int P,
-	const float3* means,
-	const int* radii,
-	const float* cov3Ds,
-	const float h_x, float h_y,
-	const float tan_fovx, float tan_fovy,
-	const float* view_matrix,
-	const float* dL_dconics,
-	float3* dL_dmeans,
-	float* dL_dcov)
-{
-	auto idx = cg::this_grid().thread_rank();
-	if (idx >= P || !(radii[idx] > 0))
-		return;
-
-	// Reading location of 3D covariance for this Gaussian
-	const float* cov3D = cov3Ds + 6 * idx;
-
-	// Fetch gradients, recompute 2D covariance and relevant 
-	// intermediate forward results needed in the backward.
-	float3 mean = means[idx];
-	float3 dL_dconic = { dL_dconics[4 * idx], dL_dconics[4 * idx + 1], dL_dconics[4 * idx + 3] };
-	float3 t = transformPoint4x3(mean, view_matrix);
-	
-	const float limx = 1.3f * tan_fovx;
-	const float limy = 1.3f * tan_fovy;
-	const float txtz = t.x / t.z;
-	const float tytz = t.y / t.z;
-	t.x = min(limx, max(-limx, txtz)) * t.z;
-	t.y = min(limy, max(-limy, tytz)) * t.z;
-	
-	const float x_grad_mul = txtz < -limx || txtz > limx ? 0 : 1;
-	const float y_grad_mul = tytz < -limy || tytz > limy ? 0 : 1;
-
-	glm::mat3 J = glm::mat3(h_x / t.z, 0.0f, -(h_x * t.x) / (t.z * t.z),
-		0.0f, h_y / t.z, -(h_y * t.y) / (t.z * t.z),
-		0, 0, 0);
-
-	glm::mat3 W = glm::mat3(
-		view_matrix[0], view_matrix[4], view_matrix[8],
-		view_matrix[1], view_matrix[5], view_matrix[9],
-		view_matrix[2], view_matrix[6], view_matrix[10]);
-
-	glm::mat3 Vrk = glm::mat3(
-		cov3D[0], cov3D[1], cov3D[2],
-		cov3D[1], cov3D[3], cov3D[4],
-		cov3D[2], cov3D[4], cov3D[5]);
-
-	glm::mat3 T = W * J;
-
-	glm::mat3 cov2D = glm::transpose(T) * glm::transpose(Vrk) * T;
-
-	// Use helper variables for 2D covariance entries. More compact.
-	float a = cov2D[0][0] += 0.3f;
-	float b = cov2D[0][1];
-	float c = cov2D[1][1] += 0.3f;
-
-	float denom = a * c - b * b;
-	float dL_da = 0, dL_db = 0, dL_dc = 0;
-	float denom2inv = 1.0f / ((denom * denom) + 0.0000001f);
-
-	if (denom2inv != 0)
-	{
-		// Gradients of loss w.r.t. entries of 2D covariance matrix,
-		// given gradients of loss w.r.t. conic matrix (inverse covariance matrix).
-		// e.g., dL / da = dL / d_conic_a * d_conic_a / d_a
-		dL_da = denom2inv * (-c * c * dL_dconic.x + 2 * b * c * dL_dconic.y + (denom - a * c) * dL_dconic.z);
-		dL_dc = denom2inv * (-a * a * dL_dconic.z + 2 * a * b * dL_dconic.y + (denom - a * c) * dL_dconic.x);
-		dL_db = denom2inv * 2 * (b * c * dL_dconic.x - (denom + 2 * b * b) * dL_dconic.y + a * b * dL_dconic.z);
-
-		// Gradients of loss L w.r.t. each 3D covariance matrix (Vrk) entry, 
-		// given gradients w.r.t. 2D covariance matrix (diagonal).
-		// cov2D = transpose(T) * transpose(Vrk) * T;
-		dL_dcov[6 * idx + 0] = (T[0][0] * T[0][0] * dL_da + T[0][0] * T[1][0] * dL_db + T[1][0] * T[1][0] * dL_dc);
-		dL_dcov[6 * idx + 3] = (T[0][1] * T[0][1] * dL_da + T[0][1] * T[1][1] * dL_db + T[1][1] * T[1][1] * dL_dc);
-		dL_dcov[6 * idx + 5] = (T[0][2] * T[0][2] * dL_da + T[0][2] * T[1][2] * dL_db + T[1][2] * T[1][2] * dL_dc);
-
-		// Gradients of loss L w.r.t. each 3D covariance matrix (Vrk) entry, 
-		// given gradients w.r.t. 2D covariance matrix (off-diagonal).
-		// Off-diagonal elements appear twice --> double the gradient.
-		// cov2D = transpose(T) * transpose(Vrk) * T;
-		dL_dcov[6 * idx + 1] = 2 * T[0][0] * T[0][1] * dL_da + (T[0][0] * T[1][1] + T[0][1] * T[1][0]) * dL_db + 2 * T[1][0] * T[1][1] * dL_dc;
-		dL_dcov[6 * idx + 2] = 2 * T[0][0] * T[0][2] * dL_da + (T[0][0] * T[1][2] + T[0][2] * T[1][0]) * dL_db + 2 * T[1][0] * T[1][2] * dL_dc;
-		dL_dcov[6 * idx + 4] = 2 * T[0][2] * T[0][1] * dL_da + (T[0][1] * T[1][2] + T[0][2] * T[1][1]) * dL_db + 2 * T[1][1] * T[1][2] * dL_dc;
-	}
-	else
-	{
-		for (int i = 0; i < 6; i++)
-			dL_dcov[6 * idx + i] = 0;
-	}
-
-	// Gradients of loss w.r.t. upper 2x3 portion of intermediate matrix T
-	// cov2D = transpose(T) * transpose(Vrk) * T;
-	float dL_dT00 = 2 * (T[0][0] * Vrk[0][0] + T[0][1] * Vrk[0][1] + T[0][2] * Vrk[0][2]) * dL_da +
-		(T[1][0] * Vrk[0][0] + T[1][1] * Vrk[0][1] + T[1][2] * Vrk[0][2]) * dL_db;
-	float dL_dT01 = 2 * (T[0][0] * Vrk[1][0] + T[0][1] * Vrk[1][1] + T[0][2] * Vrk[1][2]) * dL_da +
-		(T[1][0] * Vrk[1][0] + T[1][1] * Vrk[1][1] + T[1][2] * Vrk[1][2]) * dL_db;
-	float dL_dT02 = 2 * (T[0][0] * Vrk[2][0] + T[0][1] * Vrk[2][1] + T[0][2] * Vrk[2][2]) * dL_da +
-		(T[1][0] * Vrk[2][0] + T[1][1] * Vrk[2][1] + T[1][2] * Vrk[2][2]) * dL_db;
-	float dL_dT10 = 2 * (T[1][0] * Vrk[0][0] + T[1][1] * Vrk[0][1] + T[1][2] * Vrk[0][2]) * dL_dc +
-		(T[0][0] * Vrk[0][0] + T[0][1] * Vrk[0][1] + T[0][2] * Vrk[0][2]) * dL_db;
-	float dL_dT11 = 2 * (T[1][0] * Vrk[1][0] + T[1][1] * Vrk[1][1] + T[1][2] * Vrk[1][2]) * dL_dc +
-		(T[0][0] * Vrk[1][0] + T[0][1] * Vrk[1][1] + T[0][2] * Vrk[1][2]) * dL_db;
-	float dL_dT12 = 2 * (T[1][0] * Vrk[2][0] + T[1][1] * Vrk[2][1] + T[1][2] * Vrk[2][2]) * dL_dc +
-		(T[0][0] * Vrk[2][0] + T[0][1] * Vrk[2][1] + T[0][2] * Vrk[2][2]) * dL_db;
-
-	// Gradients of loss w.r.t. upper 3x2 non-zero entries of Jacobian matrix
-	// T = W * J
-	float dL_dJ00 = W[0][0] * dL_dT00 + W[0][1] * dL_dT01 + W[0][2] * dL_dT02;
-	float dL_dJ02 = W[2][0] * dL_dT00 + W[2][1] * dL_dT01 + W[2][2] * dL_dT02;
-	float dL_dJ11 = W[1][0] * dL_dT10 + W[1][1] * dL_dT11 + W[1][2] * dL_dT12;
-	float dL_dJ12 = W[2][0] * dL_dT10 + W[2][1] * dL_dT11 + W[2][2] * dL_dT12;
-
-	float tz = 1.f / t.z;
-	float tz2 = tz * tz;
-	float tz3 = tz2 * tz;
-
-	// Gradients of loss w.r.t. transformed Gaussian mean t
-	float dL_dtx = x_grad_mul * -h_x * tz2 * dL_dJ02;
-	float dL_dty = y_grad_mul * -h_y * tz2 * dL_dJ12;
-	float dL_dtz = -h_x * tz2 * dL_dJ00 - h_y * tz2 * dL_dJ11 + (2 * h_x * t.x) * tz3 * dL_dJ02 + (2 * h_y * t.y) * tz3 * dL_dJ12;
-
-	// Account for transformation of mean to t
-	// t = transformPoint4x3(mean, view_matrix);
-	float3 dL_dmean = transformVec4x3Transpose({ dL_dtx, dL_dty, dL_dtz }, view_matrix);
-
-	// Gradients of loss w.r.t. Gaussian means, but only the portion 
-	// that is caused because the mean affects the covariance matrix.
-	// Additional mean gradient is accumulated in BACKWARD::preprocess.
-	dL_dmeans[idx] = dL_dmean;
-}
-
-// Backward pass for the conversion of scale and rotation to a 
-// 3D covariance matrix for each Gaussian. 
-__device__ void computeCov3D(int idx, const glm::vec3 scale, float mod, const glm::vec4 rot, const float* dL_dcov3Ds, glm::vec3* dL_dscales, glm::vec4* dL_drots)
-{
-	// Recompute (intermediate) results for the 3D covariance computation.
-	glm::vec4 q = rot;// / glm::length(rot);
-	float r = q.x;
-	float x = q.y;
-	float y = q.z;
-	float z = q.w;
-
-	glm::mat3 R = glm::mat3(
-		1.f - 2.f * (y * y + z * z), 2.f * (x * y - r * z), 2.f * (x * z + r * y),
-		2.f * (x * y + r * z), 1.f - 2.f * (x * x + z * z), 2.f * (y * z - r * x),
-		2.f * (x * z - r * y), 2.f * (y * z + r * x), 1.f - 2.f * (x * x + y * y)
-	);
-
-	glm::mat3 S = glm::mat3(1.0f);
-
-	glm::vec3 s = mod * scale;
-	S[0][0] = s.x;
-	S[1][1] = s.y;
-	S[2][2] = s.z;
-
-	glm::mat3 M = S * R;
-
-	const float* dL_dcov3D = dL_dcov3Ds + 6 * idx;
-
-	glm::vec3 dunc(dL_dcov3D[0], dL_dcov3D[3], dL_dcov3D[5]);
-	glm::vec3 ounc = 0.5f * glm::vec3(dL_dcov3D[1], dL_dcov3D[2], dL_dcov3D[4]);
-
-	// Convert per-element covariance loss gradients to matrix form
-	glm::mat3 dL_dSigma = glm::mat3(
-		dL_dcov3D[0], 0.5f * dL_dcov3D[1], 0.5f * dL_dcov3D[2],
-		0.5f * dL_dcov3D[1], dL_dcov3D[3], 0.5f * dL_dcov3D[4],
-		0.5f * dL_dcov3D[2], 0.5f * dL_dcov3D[4], dL_dcov3D[5]
-	);
-
-	// Compute loss gradient w.r.t. matrix M
-	// dSigma_dM = 2 * M
-	glm::mat3 dL_dM = 2.0f * M * dL_dSigma;
-
-	glm::mat3 Rt = glm::transpose(R);
-	glm::mat3 dL_dMt = glm::transpose(dL_dM);
-
-	// Gradients of loss w.r.t. scale
-	glm::vec3* dL_dscale = dL_dscales + idx;
-	dL_dscale->x = glm::dot(Rt[0], dL_dMt[0]);
-	dL_dscale->y = glm::dot(Rt[1], dL_dMt[1]);
-	dL_dscale->z = glm::dot(Rt[2], dL_dMt[2]);
-
-	dL_dMt[0] *= s.x;
-	dL_dMt[1] *= s.y;
-	dL_dMt[2] *= s.z;
-
-	// Gradients of loss w.r.t. normalized quaternion
-	glm::vec4 dL_dq;
-	dL_dq.x = 2 * z * (dL_dMt[0][1] - dL_dMt[1][0]) + 2 * y * (dL_dMt[2][0] - dL_dMt[0][2]) + 2 * x * (dL_dMt[1][2] - dL_dMt[2][1]);
-	dL_dq.y = 2 * y * (dL_dMt[1][0] + dL_dMt[0][1]) + 2 * z * (dL_dMt[2][0] + dL_dMt[0][2]) + 2 * r * (dL_dMt[1][2] - dL_dMt[2][1]) - 4 * x * (dL_dMt[2][2] + dL_dMt[1][1]);
-	dL_dq.z = 2 * x * (dL_dMt[1][0] + dL_dMt[0][1]) + 2 * r * (dL_dMt[2][0] - dL_dMt[0][2]) + 2 * z * (dL_dMt[1][2] + dL_dMt[2][1]) - 4 * y * (dL_dMt[2][2] + dL_dMt[0][0]);
-	dL_dq.w = 2 * r * (dL_dMt[0][1] - dL_dMt[1][0]) + 2 * x * (dL_dMt[2][0] + dL_dMt[0][2]) + 2 * y * (dL_dMt[1][2] + dL_dMt[2][1]) - 4 * z * (dL_dMt[1][1] + dL_dMt[0][0]);
-
-	// Gradients of loss w.r.t. unnormalized quaternion
-	float4* dL_drot = (float4*)(dL_drots + idx);
-	*dL_drot = float4{ dL_dq.x, dL_dq.y, dL_dq.z, dL_dq.w };//dnormvdv(float4{ rot.x, rot.y, rot.z, rot.w }, float4{ dL_dq.x, dL_dq.y, dL_dq.z, dL_dq.w });
-}
-
-// Backward pass of the preprocessing steps, except
-// for the covariance computation and inversion
-// (those are handled by a previous kernel call)
-template<int C>
-__global__ void preprocessCUDA(
-	int P, int D, int M,
-	const float3* means,
-	const int* radii,
-	const float* shs,
-	const bool* clamped,
-	const glm::vec3* scales,
-	const glm::vec4* rotations,
-	const float scale_modifier,
-	const float* proj,
-	const glm::vec3* campos,
-	const float3* dL_dmean2D,
-	glm::vec3* dL_dmeans,
-	float* dL_dcolor,
-	float* dL_dcov3D,
-	float* dL_dsh,
-	glm::vec3* dL_dscale,
-	glm::vec4* dL_drot)
-{
-	auto idx = cg::this_grid().thread_rank();
-	if (idx >= P || !(radii[idx] > 0))
-		return;
-
-	float3 m = means[idx];
-
-	// Taking care of gradients from the screenspace points
-	float4 m_hom = transformPoint4x4(m, proj);
-	float m_w = 1.0f / (m_hom.w + 0.0000001f);
-
-	// Compute loss gradient w.r.t. 3D means due to gradients of 2D means
-	// from rendering procedure
-	glm::vec3 dL_dmean;
-	float mul1 = (proj[0] * m.x + proj[4] * m.y + proj[8] * m.z + proj[12]) * m_w * m_w;
-	float mul2 = (proj[1] * m.x + proj[5] * m.y + proj[9] * m.z + proj[13]) * m_w * m_w;
-	dL_dmean.x = (proj[0] * m_w - proj[3] * mul1) * dL_dmean2D[idx].x + (proj[1] * m_w - proj[3] * mul2) * dL_dmean2D[idx].y;
-	dL_dmean.y = (proj[4] * m_w - proj[7] * mul1) * dL_dmean2D[idx].x + (proj[5] * m_w - proj[7] * mul2) * dL_dmean2D[idx].y;
-	dL_dmean.z = (proj[8] * m_w - proj[11] * mul1) * dL_dmean2D[idx].x + (proj[9] * m_w - proj[11] * mul2) * dL_dmean2D[idx].y;
-
-	// That's the second part of the mean gradient. Previous computation
-	// of cov2D and following SH conversion also affects it.
-	dL_dmeans[idx] += dL_dmean;
-
-	// Compute gradient updates due to computing colors from SHs
-	if (shs)
-		computeColorFromSH(idx, D, M, (glm::vec3*)means, *campos, shs, clamped, (glm::vec3*)dL_dcolor, (glm::vec3*)dL_dmeans, (glm::vec3*)dL_dsh);
-
-	// Compute gradient updates due to computing covariance from scale/rotation
-	if (scales)
-		computeCov3D(idx, scales[idx], scale_modifier, rotations[idx], dL_dcov3D, dL_dscale, dL_drot);
-}
-
-// Backward version of the rendering procedure.
-template <uint32_t C>
-__global__ void __launch_bounds__(BLOCK_X * BLOCK_Y)
-renderCUDA(
-	const uint2* __restrict__ ranges,
-	const uint32_t* __restrict__ point_list,
-	int W, int H,
-	const float* __restrict__ bg_color,
-	const float2* __restrict__ points_xy_image,
-	const float4* __restrict__ conic_opacity,
-	const float* __restrict__ colors,
-	const float* __restrict__ final_Ts,
-	const uint32_t* __restrict__ n_contrib,
-	const float* __restrict__ dL_dpixels,
-	float3* __restrict__ dL_dmean2D,
-	float4* __restrict__ dL_dconic2D,
-	float* __restrict__ dL_dopacity,
-	float* __restrict__ dL_dcolors)
-{
-	// We rasterize again. Compute necessary block info.
-	auto block = cg::this_thread_block();
-	const uint32_t horizontal_blocks = (W + BLOCK_X - 1) / BLOCK_X;
-	const uint2 pix_min = { block.group_index().x * BLOCK_X, block.group_index().y * BLOCK_Y };
-	const uint2 pix_max = { min(pix_min.x + BLOCK_X, W), min(pix_min.y + BLOCK_Y , H) };
-	const uint2 pix = { pix_min.x + block.thread_index().x, pix_min.y + block.thread_index().y };
-	const uint32_t pix_id = W * pix.y + pix.x;
-	const float2 pixf = { (float)pix.x, (float)pix.y };
-
-	const bool inside = pix.x < W&& pix.y < H;
-	const uint2 range = ranges[block.group_index().y * horizontal_blocks + block.group_index().x];
-
-	const int rounds = ((range.y - range.x + BLOCK_SIZE - 1) / BLOCK_SIZE);
-
-	bool done = !inside;
-	int toDo = range.y - range.x;
-
-	__shared__ int collected_id[BLOCK_SIZE];
-	__shared__ float2 collected_xy[BLOCK_SIZE];
-	__shared__ float4 collected_conic_opacity[BLOCK_SIZE];
-	__shared__ float collected_colors[C * BLOCK_SIZE];
-
-	// In the forward, we stored the final value for T, the
-	// product of all (1 - alpha) factors. 
-	const float T_final = inside ? final_Ts[pix_id] : 0;
-	float T = T_final;
-
-	// We start from the back. The ID of the last contributing
-	// Gaussian is known from each pixel from the forward.
-	uint32_t contributor = toDo;
-	const int last_contributor = inside ? n_contrib[pix_id] : 0;
-
-	float accum_rec[C] = { 0 };
-	float dL_dpixel[C];
-	if (inside)
-		for (int i = 0; i < C; i++)
-			dL_dpixel[i] = dL_dpixels[i * H * W + pix_id];
-
-	float last_alpha = 0;
-	float last_color[C] = { 0 };
-
-	// Gradient of pixel coordinate w.r.t. normalized 
-	// screen-space viewport corrdinates (-1 to 1)
-	const float ddelx_dx = 0.5 * W;
-	const float ddely_dy = 0.5 * H;
-
-	// Traverse all Gaussians
-	for (int i = 0; i < rounds; i++, toDo -= BLOCK_SIZE)
-	{
-		// Load auxiliary data into shared memory, start in the BACK
-		// and load them in revers order.
-		block.sync();
-		const int progress = i * BLOCK_SIZE + block.thread_rank();
-		if (range.x + progress < range.y)
-		{
-			const int coll_id = point_list[range.y - progress - 1];
-			collected_id[block.thread_rank()] = coll_id;
-			collected_xy[block.thread_rank()] = points_xy_image[coll_id];
-			collected_conic_opacity[block.thread_rank()] = conic_opacity[coll_id];
-			for (int i = 0; i < C; i++)
-				collected_colors[i * BLOCK_SIZE + block.thread_rank()] = colors[coll_id * C + i];
-		}
-		block.sync();
-
-		// Iterate over Gaussians
-		for (int j = 0; !done && j < min(BLOCK_SIZE, toDo); j++)
-		{
-			// Keep track of current Gaussian ID. Skip, if this one
-			// is behind the last contributor for this pixel.
-			contributor--;
-			if (contributor >= last_contributor)
-				continue;
-
-			// Compute blending values, as before.
-			const float2 xy = collected_xy[j];
-			const float2 d = { xy.x - pixf.x, xy.y - pixf.y };
-			const float4 con_o = collected_conic_opacity[j];
-			const float power = -0.5f * (con_o.x * d.x * d.x + con_o.z * d.y * d.y) - con_o.y * d.x * d.y;
-			if (power > 0.0f)
-				continue;
-
-			const float G = exp(power);
-			const float alpha = min(0.99f, con_o.w * G);
-			if (alpha < 1.0f / 255.0f)
-				continue;
-
-			T = T / (1.f - alpha);
-			const float dchannel_dcolor = alpha * T;
-
-			// Propagate gradients to per-Gaussian colors and keep
-			// gradients w.r.t. alpha (blending factor for a Gaussian/pixel
-			// pair).
-			float dL_dalpha = 0.0f;
-			const int global_id = collected_id[j];
-			for (int ch = 0; ch < C; ch++)
-			{
-				const float c = collected_colors[ch * BLOCK_SIZE + j];
-				// Update last color (to be used in the next iteration)
-				accum_rec[ch] = last_alpha * last_color[ch] + (1.f - last_alpha) * accum_rec[ch];
-				last_color[ch] = c;
-
-				const float dL_dchannel = dL_dpixel[ch];
-				dL_dalpha += (c - accum_rec[ch]) * dL_dchannel;
-				// Update the gradients w.r.t. color of the Gaussian. 
-				// Atomic, since this pixel is just one of potentially
-				// many that were affected by this Gaussian.
-				atomicAdd(&(dL_dcolors[global_id * C + ch]), dchannel_dcolor * dL_dchannel);
-			}
-			dL_dalpha *= T;
-			// Update last alpha (to be used in the next iteration)
-			last_alpha = alpha;
-
-			// Account for fact that alpha also influences how much of
-			// the background color is added if nothing left to blend
-			float bg_dot_dpixel = 0;
-			for (int i = 0; i < C; i++)
-				bg_dot_dpixel += bg_color[i] * dL_dpixel[i];
-			dL_dalpha += (-T_final / (1.f - alpha)) * bg_dot_dpixel;
-
-
-			// Helpful reusable temporary variables
-			const float dL_dG = con_o.w * dL_dalpha;
-			const float gdx = G * d.x;
-			const float gdy = G * d.y;
-			const float dG_ddelx = -gdx * con_o.x - gdy * con_o.y;
-			const float dG_ddely = -gdy * con_o.z - gdx * con_o.y;
-
-			// Update gradients w.r.t. 2D mean position of the Gaussian
-			atomicAdd(&dL_dmean2D[global_id].x, dL_dG * dG_ddelx * ddelx_dx);
-			atomicAdd(&dL_dmean2D[global_id].y, dL_dG * dG_ddely * ddely_dy);
-
-			// Update gradients w.r.t. 2D covariance (2x2 matrix, symmetric)
-			atomicAdd(&dL_dconic2D[global_id].x, -0.5f * gdx * d.x * dL_dG);
-			atomicAdd(&dL_dconic2D[global_id].y, -0.5f * gdx * d.y * dL_dG);
-			atomicAdd(&dL_dconic2D[global_id].w, -0.5f * gdy * d.y * dL_dG);
-
-			// Update gradients w.r.t. opacity of the Gaussian
-			atomicAdd(&(dL_dopacity[global_id]), G * dL_dalpha);
-		}
-	}
-}
-
-void BACKWARD::preprocess(
-	int P, int D, int M,
-	const float3* means3D,
-	const int* radii,
-	const float* shs,
-	const bool* clamped,
-	const glm::vec3* scales,
-	const glm::vec4* rotations,
-	const float scale_modifier,
-	const float* cov3Ds,
-	const float* viewmatrix,
-	const float* projmatrix,
-	const float focal_x, float focal_y,
-	const float tan_fovx, float tan_fovy,
-	const glm::vec3* campos,
-	const float3* dL_dmean2D,
-	const float* dL_dconic,
-	glm::vec3* dL_dmean3D,
-	float* dL_dcolor,
-	float* dL_dcov3D,
-	float* dL_dsh,
-	glm::vec3* dL_dscale,
-	glm::vec4* dL_drot)
-{
-	// Propagate gradients for the path of 2D conic matrix computation. 
-	// Somewhat long, thus it is its own kernel rather than being part of 
-	// "preprocess". When done, loss gradient w.r.t. 3D means has been
-	// modified and gradient w.r.t. 3D covariance matrix has been computed.	
-	computeCov2DCUDA << <(P + 255) / 256, 256 >> > (
-		P,
-		means3D,
-		radii,
-		cov3Ds,
-		focal_x,
-		focal_y,
-		tan_fovx,
-		tan_fovy,
-		viewmatrix,
-		dL_dconic,
-		(float3*)dL_dmean3D,
-		dL_dcov3D);
-
-	// Propagate gradients for remaining steps: finish 3D mean gradients,
-	// propagate color gradients to SH (if desireD), propagate 3D covariance
-	// matrix gradients to scale and rotation.
-	preprocessCUDA<NUM_CHANNELS> << < (P + 255) / 256, 256 >> > (
-		P, D, M,
-		(float3*)means3D,
-		radii,
-		shs,
-		clamped,
-		(glm::vec3*)scales,
-		(glm::vec4*)rotations,
-		scale_modifier,
-		projmatrix,
-		campos,
-		(float3*)dL_dmean2D,
-		(glm::vec3*)dL_dmean3D,
-		dL_dcolor,
-		dL_dcov3D,
-		dL_dsh,
-		dL_dscale,
-		dL_drot);
-}
-
-void BACKWARD::render(
-	const dim3 grid, const dim3 block,
-	const uint2* ranges,
-	const uint32_t* point_list,
-	int W, int H,
-	const float* bg_color,
-	const float2* means2D,
-	const float4* conic_opacity,
-	const float* colors,
-	const float* final_Ts,
-	const uint32_t* n_contrib,
-	const float* dL_dpixels,
-	float3* dL_dmean2D,
-	float4* dL_dconic2D,
-	float* dL_dopacity,
-	float* dL_dcolors)
-{
-	renderCUDA<NUM_CHANNELS> << <grid, block >> >(
-		ranges,
-		point_list,
-		W, H,
-		bg_color,
-		means2D,
-		conic_opacity,
-		colors,
-		final_Ts,
-		n_contrib,
-		dL_dpixels,
-		dL_dmean2D,
-		dL_dconic2D,
-		dL_dopacity,
-		dL_dcolors
-		);
-}

submodules/diff-gaussian-rasterization/cuda_rasterizer/backward.h

@@ -1,65 +0,0 @@
-/*
- * Copyright (C) 2023, Inria
- * GRAPHDECO research group, https://team.inria.fr/graphdeco
- * All rights reserved.
- *
- * This software is free for non-commercial, research and evaluation use 
- * under the terms of the LICENSE.md file.
- *
- * For inquiries contact  george.drettakis@inria.fr
- */
-
-#ifndef CUDA_RASTERIZER_BACKWARD_H_INCLUDED
-#define CUDA_RASTERIZER_BACKWARD_H_INCLUDED
-
-#include <cuda.h>
-#include "cuda_runtime.h"
-#include "device_launch_parameters.h"
-#define GLM_FORCE_CUDA
-#include <glm/glm.hpp>
-
-namespace BACKWARD
-{
-	void render(
-		const dim3 grid, dim3 block,
-		const uint2* ranges,
-		const uint32_t* point_list,
-		int W, int H,
-		const float* bg_color,
-		const float2* means2D,
-		const float4* conic_opacity,
-		const float* colors,
-		const float* final_Ts,
-		const uint32_t* n_contrib,
-		const float* dL_dpixels,
-		float3* dL_dmean2D,
-		float4* dL_dconic2D,
-		float* dL_dopacity,
-		float* dL_dcolors);
-
-	void preprocess(
-		int P, int D, int M,
-		const float3* means,
-		const int* radii,
-		const float* shs,
-		const bool* clamped,
-		const glm::vec3* scales,
-		const glm::vec4* rotations,
-		const float scale_modifier,
-		const float* cov3Ds,
-		const float* view,
-		const float* proj,
-		const float focal_x, float focal_y,
-		const float tan_fovx, float tan_fovy,
-		const glm::vec3* campos,
-		const float3* dL_dmean2D,
-		const float* dL_dconics,
-		glm::vec3* dL_dmeans,
-		float* dL_dcolor,
-		float* dL_dcov3D,
-		float* dL_dsh,
-		glm::vec3* dL_dscale,
-		glm::vec4* dL_drot);
-}
-
-#endif

submodules/diff-gaussian-rasterization/cuda_rasterizer/config.h

@@ -1,19 +0,0 @@
-/*
- * Copyright (C) 2023, Inria
- * GRAPHDECO research group, https://team.inria.fr/graphdeco
- * All rights reserved.
- *
- * This software is free for non-commercial, research and evaluation use 
- * under the terms of the LICENSE.md file.
- *
- * For inquiries contact  george.drettakis@inria.fr
- */
-
-#ifndef CUDA_RASTERIZER_CONFIG_H_INCLUDED
-#define CUDA_RASTERIZER_CONFIG_H_INCLUDED
-
-#define NUM_CHANNELS 3 // Default 3, RGB
-#define BLOCK_X 16
-#define BLOCK_Y 16
-
-#endif

submodules/diff-gaussian-rasterization/cuda_rasterizer/forward.cu

@@ -1,455 +0,0 @@
-/*
- * Copyright (C) 2023, Inria
- * GRAPHDECO research group, https://team.inria.fr/graphdeco
- * All rights reserved.
- *
- * This software is free for non-commercial, research and evaluation use 
- * under the terms of the LICENSE.md file.
- *
- * For inquiries contact  george.drettakis@inria.fr
- */
-
-#include "forward.h"
-#include "auxiliary.h"
-#include <cooperative_groups.h>
-#include <cooperative_groups/reduce.h>
-namespace cg = cooperative_groups;
-
-// Forward method for converting the input spherical harmonics
-// coefficients of each Gaussian to a simple RGB color.
-__device__ glm::vec3 computeColorFromSH(int idx, int deg, int max_coeffs, const glm::vec3* means, glm::vec3 campos, const float* shs, bool* clamped)
-{
-	// The implementation is loosely based on code for 
-	// "Differentiable Point-Based Radiance Fields for 
-	// Efficient View Synthesis" by Zhang et al. (2022)
-	glm::vec3 pos = means[idx];
-	glm::vec3 dir = pos - campos;
-	dir = dir / glm::length(dir);
-
-	glm::vec3* sh = ((glm::vec3*)shs) + idx * max_coeffs;
-	glm::vec3 result = SH_C0 * sh[0];
-
-	if (deg > 0)
-	{
-		float x = dir.x;
-		float y = dir.y;
-		float z = dir.z;
-		result = result - SH_C1 * y * sh[1] + SH_C1 * z * sh[2] - SH_C1 * x * sh[3];
-
-		if (deg > 1)
-		{
-			float xx = x * x, yy = y * y, zz = z * z;
-			float xy = x * y, yz = y * z, xz = x * z;
-			result = result +
-				SH_C2[0] * xy * sh[4] +
-				SH_C2[1] * yz * sh[5] +
-				SH_C2[2] * (2.0f * zz - xx - yy) * sh[6] +
-				SH_C2[3] * xz * sh[7] +
-				SH_C2[4] * (xx - yy) * sh[8];
-
-			if (deg > 2)
-			{
-				result = result +
-					SH_C3[0] * y * (3.0f * xx - yy) * sh[9] +
-					SH_C3[1] * xy * z * sh[10] +
-					SH_C3[2] * y * (4.0f * zz - xx - yy) * sh[11] +
-					SH_C3[3] * z * (2.0f * zz - 3.0f * xx - 3.0f * yy) * sh[12] +
-					SH_C3[4] * x * (4.0f * zz - xx - yy) * sh[13] +
-					SH_C3[5] * z * (xx - yy) * sh[14] +
-					SH_C3[6] * x * (xx - 3.0f * yy) * sh[15];
-			}
-		}
-	}
-	result += 0.5f;
-
-	// RGB colors are clamped to positive values. If values are
-	// clamped, we need to keep track of this for the backward pass.
-	clamped[3 * idx + 0] = (result.x < 0);
-	clamped[3 * idx + 1] = (result.y < 0);
-	clamped[3 * idx + 2] = (result.z < 0);
-	return glm::max(result, 0.0f);
-}
-
-// Forward version of 2D covariance matrix computation
-__device__ float3 computeCov2D(const float3& mean, float focal_x, float focal_y, float tan_fovx, float tan_fovy, const float* cov3D, const float* viewmatrix)
-{
-	// The following models the steps outlined by equations 29
-	// and 31 in "EWA Splatting" (Zwicker et al., 2002). 
-	// Additionally considers aspect / scaling of viewport.
-	// Transposes used to account for row-/column-major conventions.
-	float3 t = transformPoint4x3(mean, viewmatrix);
-
-	const float limx = 1.3f * tan_fovx;
-	const float limy = 1.3f * tan_fovy;
-	const float txtz = t.x / t.z;
-	const float tytz = t.y / t.z;
-	t.x = min(limx, max(-limx, txtz)) * t.z;
-	t.y = min(limy, max(-limy, tytz)) * t.z;
-
-	glm::mat3 J = glm::mat3(
-		focal_x / t.z, 0.0f, -(focal_x * t.x) / (t.z * t.z),
-		0.0f, focal_y / t.z, -(focal_y * t.y) / (t.z * t.z),
-		0, 0, 0);
-
-	glm::mat3 W = glm::mat3(
-		viewmatrix[0], viewmatrix[4], viewmatrix[8],
-		viewmatrix[1], viewmatrix[5], viewmatrix[9],
-		viewmatrix[2], viewmatrix[6], viewmatrix[10]);
-
-	glm::mat3 T = W * J;
-
-	glm::mat3 Vrk = glm::mat3(
-		cov3D[0], cov3D[1], cov3D[2],
-		cov3D[1], cov3D[3], cov3D[4],
-		cov3D[2], cov3D[4], cov3D[5]);
-
-	glm::mat3 cov = glm::transpose(T) * glm::transpose(Vrk) * T;
-
-	// Apply low-pass filter: every Gaussian should be at least
-	// one pixel wide/high. Discard 3rd row and column.
-	cov[0][0] += 0.3f;
-	cov[1][1] += 0.3f;
-	return { float(cov[0][0]), float(cov[0][1]), float(cov[1][1]) };
-}
-
-// Forward method for converting scale and rotation properties of each
-// Gaussian to a 3D covariance matrix in world space. Also takes care
-// of quaternion normalization.
-__device__ void computeCov3D(const glm::vec3 scale, float mod, const glm::vec4 rot, float* cov3D)
-{
-	// Create scaling matrix
-	glm::mat3 S = glm::mat3(1.0f);
-	S[0][0] = mod * scale.x;
-	S[1][1] = mod * scale.y;
-	S[2][2] = mod * scale.z;
-
-	// Normalize quaternion to get valid rotation
-	glm::vec4 q = rot;// / glm::length(rot);
-	float r = q.x;
-	float x = q.y;
-	float y = q.z;
-	float z = q.w;
-
-	// Compute rotation matrix from quaternion
-	glm::mat3 R = glm::mat3(
-		1.f - 2.f * (y * y + z * z), 2.f * (x * y - r * z), 2.f * (x * z + r * y),
-		2.f * (x * y + r * z), 1.f - 2.f * (x * x + z * z), 2.f * (y * z - r * x),
-		2.f * (x * z - r * y), 2.f * (y * z + r * x), 1.f - 2.f * (x * x + y * y)
-	);
-
-	glm::mat3 M = S * R;
-
-	// Compute 3D world covariance matrix Sigma
-	glm::mat3 Sigma = glm::transpose(M) * M;
-
-	// Covariance is symmetric, only store upper right
-	cov3D[0] = Sigma[0][0];
-	cov3D[1] = Sigma[0][1];
-	cov3D[2] = Sigma[0][2];
-	cov3D[3] = Sigma[1][1];
-	cov3D[4] = Sigma[1][2];
-	cov3D[5] = Sigma[2][2];
-}
-
-// Perform initial steps for each Gaussian prior to rasterization.
-template<int C>
-__global__ void preprocessCUDA(int P, int D, int M,
-	const float* orig_points,
-	const glm::vec3* scales,
-	const float scale_modifier,
-	const glm::vec4* rotations,
-	const float* opacities,
-	const float* shs,
-	bool* clamped,
-	const float* cov3D_precomp,
-	const float* colors_precomp,
-	const float* viewmatrix,
-	const float* projmatrix,
-	const glm::vec3* cam_pos,
-	const int W, int H,
-	const float tan_fovx, float tan_fovy,
-	const float focal_x, float focal_y,
-	int* radii,
-	float2* points_xy_image,
-	float* depths,
-	float* cov3Ds,
-	float* rgb,
-	float4* conic_opacity,
-	const dim3 grid,
-	uint32_t* tiles_touched,
-	bool prefiltered)
-{
-	auto idx = cg::this_grid().thread_rank();
-	if (idx >= P)
-		return;
-
-	// Initialize radius and touched tiles to 0. If this isn't changed,
-	// this Gaussian will not be processed further.
-	radii[idx] = 0;
-	tiles_touched[idx] = 0;
-
-	// Perform near culling, quit if outside.
-	float3 p_view;
-	if (!in_frustum(idx, orig_points, viewmatrix, projmatrix, prefiltered, p_view))
-		return;
-
-	// Transform point by projecting
-	float3 p_orig = { orig_points[3 * idx], orig_points[3 * idx + 1], orig_points[3 * idx + 2] };
-	float4 p_hom = transformPoint4x4(p_orig, projmatrix);
-	float p_w = 1.0f / (p_hom.w + 0.0000001f);
-	float3 p_proj = { p_hom.x * p_w, p_hom.y * p_w, p_hom.z * p_w };
-
-	// If 3D covariance matrix is precomputed, use it, otherwise compute
-	// from scaling and rotation parameters. 
-	const float* cov3D;
-	if (cov3D_precomp != nullptr)
-	{
-		cov3D = cov3D_precomp + idx * 6;
-	}
-	else
-	{
-		computeCov3D(scales[idx], scale_modifier, rotations[idx], cov3Ds + idx * 6);
-		cov3D = cov3Ds + idx * 6;
-	}
-
-	// Compute 2D screen-space covariance matrix
-	float3 cov = computeCov2D(p_orig, focal_x, focal_y, tan_fovx, tan_fovy, cov3D, viewmatrix);
-
-	// Invert covariance (EWA algorithm)
-	float det = (cov.x * cov.z - cov.y * cov.y);
-	if (det == 0.0f)
-		return;
-	float det_inv = 1.f / det;
-	float3 conic = { cov.z * det_inv, -cov.y * det_inv, cov.x * det_inv };
-
-	// Compute extent in screen space (by finding eigenvalues of
-	// 2D covariance matrix). Use extent to compute a bounding rectangle
-	// of screen-space tiles that this Gaussian overlaps with. Quit if
-	// rectangle covers 0 tiles. 
-	float mid = 0.5f * (cov.x + cov.z);
-	float lambda1 = mid + sqrt(max(0.1f, mid * mid - det));
-	float lambda2 = mid - sqrt(max(0.1f, mid * mid - det));
-	float my_radius = ceil(3.f * sqrt(max(lambda1, lambda2)));
-	float2 point_image = { ndc2Pix(p_proj.x, W), ndc2Pix(p_proj.y, H) };
-	uint2 rect_min, rect_max;
-	getRect(point_image, my_radius, rect_min, rect_max, grid);
-	if ((rect_max.x - rect_min.x) * (rect_max.y - rect_min.y) == 0)
-		return;
-
-	// If colors have been precomputed, use them, otherwise convert
-	// spherical harmonics coefficients to RGB color.
-	if (colors_precomp == nullptr)
-	{
-		glm::vec3 result = computeColorFromSH(idx, D, M, (glm::vec3*)orig_points, *cam_pos, shs, clamped);
-		rgb[idx * C + 0] = result.x;
-		rgb[idx * C + 1] = result.y;
-		rgb[idx * C + 2] = result.z;
-	}
-
-	// Store some useful helper data for the next steps.
-	depths[idx] = p_view.z;
-	radii[idx] = my_radius;
-	points_xy_image[idx] = point_image;
-	// Inverse 2D covariance and opacity neatly pack into one float4
-	conic_opacity[idx] = { conic.x, conic.y, conic.z, opacities[idx] };
-	tiles_touched[idx] = (rect_max.y - rect_min.y) * (rect_max.x - rect_min.x);
-}
-
-// Main rasterization method. Collaboratively works on one tile per
-// block, each thread treats one pixel. Alternates between fetching 
-// and rasterizing data.
-template <uint32_t CHANNELS>
-__global__ void __launch_bounds__(BLOCK_X * BLOCK_Y)
-renderCUDA(
-	const uint2* __restrict__ ranges,
-	const uint32_t* __restrict__ point_list,
-	int W, int H,
-	const float2* __restrict__ points_xy_image,
-	const float* __restrict__ features,
-	const float4* __restrict__ conic_opacity,
-	float* __restrict__ final_T,
-	uint32_t* __restrict__ n_contrib,
-	const float* __restrict__ bg_color,
-	float* __restrict__ out_color)
-{
-	// Identify current tile and associated min/max pixel range.
-	auto block = cg::this_thread_block();
-	uint32_t horizontal_blocks = (W + BLOCK_X - 1) / BLOCK_X;
-	uint2 pix_min = { block.group_index().x * BLOCK_X, block.group_index().y * BLOCK_Y };
-	uint2 pix_max = { min(pix_min.x + BLOCK_X, W), min(pix_min.y + BLOCK_Y , H) };
-	uint2 pix = { pix_min.x + block.thread_index().x, pix_min.y + block.thread_index().y };
-	uint32_t pix_id = W * pix.y + pix.x;
-	float2 pixf = { (float)pix.x, (float)pix.y };
-
-	// Check if this thread is associated with a valid pixel or outside.
-	bool inside = pix.x < W&& pix.y < H;
-	// Done threads can help with fetching, but don't rasterize
-	bool done = !inside;
-
-	// Load start/end range of IDs to process in bit sorted list.
-	uint2 range = ranges[block.group_index().y * horizontal_blocks + block.group_index().x];
-	const int rounds = ((range.y - range.x + BLOCK_SIZE - 1) / BLOCK_SIZE);
-	int toDo = range.y - range.x;
-
-	// Allocate storage for batches of collectively fetched data.
-	__shared__ int collected_id[BLOCK_SIZE];
-	__shared__ float2 collected_xy[BLOCK_SIZE];
-	__shared__ float4 collected_conic_opacity[BLOCK_SIZE];
-
-	// Initialize helper variables
-	float T = 1.0f;
-	uint32_t contributor = 0;
-	uint32_t last_contributor = 0;
-	float C[CHANNELS] = { 0 };
-
-	// Iterate over batches until all done or range is complete
-	for (int i = 0; i < rounds; i++, toDo -= BLOCK_SIZE)
-	{
-		// End if entire block votes that it is done rasterizing
-		int num_done = __syncthreads_count(done);
-		if (num_done == BLOCK_SIZE)
-			break;
-
-		// Collectively fetch per-Gaussian data from global to shared
-		int progress = i * BLOCK_SIZE + block.thread_rank();
-		if (range.x + progress < range.y)
-		{
-			int coll_id = point_list[range.x + progress];
-			collected_id[block.thread_rank()] = coll_id;
-			collected_xy[block.thread_rank()] = points_xy_image[coll_id];
-			collected_conic_opacity[block.thread_rank()] = conic_opacity[coll_id];
-		}
-		block.sync();
-
-		// Iterate over current batch
-		for (int j = 0; !done && j < min(BLOCK_SIZE, toDo); j++)
-		{
-			// Keep track of current position in range
-			contributor++;
-
-			// Resample using conic matrix (cf. "Surface 
-			// Splatting" by Zwicker et al., 2001)
-			float2 xy = collected_xy[j];
-			float2 d = { xy.x - pixf.x, xy.y - pixf.y };
-			float4 con_o = collected_conic_opacity[j];
-			float power = -0.5f * (con_o.x * d.x * d.x + con_o.z * d.y * d.y) - con_o.y * d.x * d.y;
-			if (power > 0.0f)
-				continue;
-
-			// Eq. (2) from 3D Gaussian splatting paper.
-			// Obtain alpha by multiplying with Gaussian opacity
-			// and its exponential falloff from mean.
-			// Avoid numerical instabilities (see paper appendix). 
-			float alpha = min(0.99f, con_o.w * exp(power));
-			if (alpha < 1.0f / 255.0f)
-				continue;
-			float test_T = T * (1 - alpha);
-			if (test_T < 0.0001f)
-			{
-				done = true;
-				continue;
-			}
-
-			// Eq. (3) from 3D Gaussian splatting paper.
-			for (int ch = 0; ch < CHANNELS; ch++)
-				C[ch] += features[collected_id[j] * CHANNELS + ch] * alpha * T;
-
-			T = test_T;
-
-			// Keep track of last range entry to update this
-			// pixel.
-			last_contributor = contributor;
-		}
-	}
-
-	// All threads that treat valid pixel write out their final
-	// rendering data to the frame and auxiliary buffers.
-	if (inside)
-	{
-		final_T[pix_id] = T;
-		n_contrib[pix_id] = last_contributor;
-		for (int ch = 0; ch < CHANNELS; ch++)
-			out_color[ch * H * W + pix_id] = C[ch] + T * bg_color[ch];
-	}
-}
-
-void FORWARD::render(
-	const dim3 grid, dim3 block,
-	const uint2* ranges,
-	const uint32_t* point_list,
-	int W, int H,
-	const float2* means2D,
-	const float* colors,
-	const float4* conic_opacity,
-	float* final_T,
-	uint32_t* n_contrib,
-	const float* bg_color,
-	float* out_color)
-{
-	renderCUDA<NUM_CHANNELS> << <grid, block >> > (
-		ranges,
-		point_list,
-		W, H,
-		means2D,
-		colors,
-		conic_opacity,
-		final_T,
-		n_contrib,
-		bg_color,
-		out_color);
-}
-
-void FORWARD::preprocess(int P, int D, int M,
-	const float* means3D,
-	const glm::vec3* scales,
-	const float scale_modifier,
-	const glm::vec4* rotations,
-	const float* opacities,
-	const float* shs,
-	bool* clamped,
-	const float* cov3D_precomp,
-	const float* colors_precomp,
-	const float* viewmatrix,
-	const float* projmatrix,
-	const glm::vec3* cam_pos,
-	const int W, int H,
-	const float focal_x, float focal_y,
-	const float tan_fovx, float tan_fovy,
-	int* radii,
-	float2* means2D,
-	float* depths,
-	float* cov3Ds,
-	float* rgb,
-	float4* conic_opacity,
-	const dim3 grid,
-	uint32_t* tiles_touched,
-	bool prefiltered)
-{
-	preprocessCUDA<NUM_CHANNELS> << <(P + 255) / 256, 256 >> > (
-		P, D, M,
-		means3D,
-		scales,
-		scale_modifier,
-		rotations,
-		opacities,
-		shs,
-		clamped,
-		cov3D_precomp,
-		colors_precomp,
-		viewmatrix, 
-		projmatrix,
-		cam_pos,
-		W, H,
-		tan_fovx, tan_fovy,
-		focal_x, focal_y,
-		radii,
-		means2D,
-		depths,
-		cov3Ds,
-		rgb,
-		conic_opacity,
-		grid,
-		tiles_touched,
-		prefiltered
-		);
-}

submodules/diff-gaussian-rasterization/cuda_rasterizer/forward.h

@@ -1,66 +0,0 @@
-/*
- * Copyright (C) 2023, Inria
- * GRAPHDECO research group, https://team.inria.fr/graphdeco
- * All rights reserved.
- *
- * This software is free for non-commercial, research and evaluation use 
- * under the terms of the LICENSE.md file.
- *
- * For inquiries contact  george.drettakis@inria.fr
- */
-
-#ifndef CUDA_RASTERIZER_FORWARD_H_INCLUDED
-#define CUDA_RASTERIZER_FORWARD_H_INCLUDED
-
-#include <cuda.h>
-#include "cuda_runtime.h"
-#include "device_launch_parameters.h"
-#define GLM_FORCE_CUDA
-#include <glm/glm.hpp>
-
-namespace FORWARD
-{
-	// Perform initial steps for each Gaussian prior to rasterization.
-	void preprocess(int P, int D, int M,
-		const float* orig_points,
-		const glm::vec3* scales,
-		const float scale_modifier,
-		const glm::vec4* rotations,
-		const float* opacities,
-		const float* shs,
-		bool* clamped,
-		const float* cov3D_precomp,
-		const float* colors_precomp,
-		const float* viewmatrix,
-		const float* projmatrix,
-		const glm::vec3* cam_pos,
-		const int W, int H,
-		const float focal_x, float focal_y,
-		const float tan_fovx, float tan_fovy,
-		int* radii,
-		float2* points_xy_image,
-		float* depths,
-		float* cov3Ds,
-		float* colors,
-		float4* conic_opacity,
-		const dim3 grid,
-		uint32_t* tiles_touched,
-		bool prefiltered);
-
-	// Main rasterization method.
-	void render(
-		const dim3 grid, dim3 block,
-		const uint2* ranges,
-		const uint32_t* point_list,
-		int W, int H,
-		const float2* points_xy_image,
-		const float* features,
-		const float4* conic_opacity,
-		float* final_T,
-		uint32_t* n_contrib,
-		const float* bg_color,
-		float* out_color);
-}
-
-
-#endif

submodules/diff-gaussian-rasterization/cuda_rasterizer/rasterizer.h

@@ -1,88 +0,0 @@
-/*
- * Copyright (C) 2023, Inria
- * GRAPHDECO research group, https://team.inria.fr/graphdeco
- * All rights reserved.
- *
- * This software is free for non-commercial, research and evaluation use 
- * under the terms of the LICENSE.md file.
- *
- * For inquiries contact  george.drettakis@inria.fr
- */
-
-#ifndef CUDA_RASTERIZER_H_INCLUDED
-#define CUDA_RASTERIZER_H_INCLUDED
-
-#include <vector>
-#include <functional>
-
-namespace CudaRasterizer
-{
-	class Rasterizer
-	{
-	public:
-
-		static void markVisible(
-			int P,
-			float* means3D,
-			float* viewmatrix,
-			float* projmatrix,
-			bool* present);
-
-		static int forward(
-			std::function<char* (size_t)> geometryBuffer,
-			std::function<char* (size_t)> binningBuffer,
-			std::function<char* (size_t)> imageBuffer,
-			const int P, int D, int M,
-			const float* background,
-			const int width, int height,
-			const float* means3D,
-			const float* shs,
-			const float* colors_precomp,
-			const float* opacities,
-			const float* scales,
-			const float scale_modifier,
-			const float* rotations,
-			const float* cov3D_precomp,
-			const float* viewmatrix,
-			const float* projmatrix,
-			const float* cam_pos,
-			const float tan_fovx, float tan_fovy,
-			const bool prefiltered,
-			float* out_color,
-			int* radii = nullptr,
-			bool debug = false);
-
-		static void backward(
-			const int P, int D, int M, int R,
-			const float* background,
-			const int width, int height,
-			const float* means3D,
-			const float* shs,
-			const float* colors_precomp,
-			const float* scales,
-			const float scale_modifier,
-			const float* rotations,
-			const float* cov3D_precomp,
-			const float* viewmatrix,
-			const float* projmatrix,
-			const float* campos,
-			const float tan_fovx, float tan_fovy,
-			const int* radii,
-			char* geom_buffer,
-			char* binning_buffer,
-			char* image_buffer,
-			const float* dL_dpix,
-			float* dL_dmean2D,
-			float* dL_dconic,
-			float* dL_dopacity,
-			float* dL_dcolor,
-			float* dL_dmean3D,
-			float* dL_dcov3D,
-			float* dL_dsh,
-			float* dL_dscale,
-			float* dL_drot,
-			bool debug);
-	};
-};
-
-#endif

submodules/diff-gaussian-rasterization/cuda_rasterizer/rasterizer_impl.cu

@@ -1,434 +0,0 @@
-/*
- * Copyright (C) 2023, Inria
- * GRAPHDECO research group, https://team.inria.fr/graphdeco
- * All rights reserved.
- *
- * This software is free for non-commercial, research and evaluation use 
- * under the terms of the LICENSE.md file.
- *
- * For inquiries contact  george.drettakis@inria.fr
- */
-
-#include "rasterizer_impl.h"
-#include <iostream>
-#include <fstream>
-#include <algorithm>
-#include <numeric>
-#include <cuda.h>
-#include "cuda_runtime.h"
-#include "device_launch_parameters.h"
-#include <cub/cub.cuh>
-#include <cub/device/device_radix_sort.cuh>
-#define GLM_FORCE_CUDA
-#include <glm/glm.hpp>
-
-#include <cooperative_groups.h>
-#include <cooperative_groups/reduce.h>
-namespace cg = cooperative_groups;
-
-#include "auxiliary.h"
-#include "forward.h"
-#include "backward.h"
-
-// Helper function to find the next-highest bit of the MSB
-// on the CPU.
-uint32_t getHigherMsb(uint32_t n)
-{
-	uint32_t msb = sizeof(n) * 4;
-	uint32_t step = msb;
-	while (step > 1)
-	{
-		step /= 2;
-		if (n >> msb)
-			msb += step;
-		else
-			msb -= step;
-	}
-	if (n >> msb)
-		msb++;
-	return msb;
-}
-
-// Wrapper method to call auxiliary coarse frustum containment test.
-// Mark all Gaussians that pass it.
-__global__ void checkFrustum(int P,
-	const float* orig_points,
-	const float* viewmatrix,
-	const float* projmatrix,
-	bool* present)
-{
-	auto idx = cg::this_grid().thread_rank();
-	if (idx >= P)
-		return;
-
-	float3 p_view;
-	present[idx] = in_frustum(idx, orig_points, viewmatrix, projmatrix, false, p_view);
-}
-
-// Generates one key/value pair for all Gaussian / tile overlaps. 
-// Run once per Gaussian (1:N mapping).
-__global__ void duplicateWithKeys(
-	int P,
-	const float2* points_xy,
-	const float* depths,
-	const uint32_t* offsets,
-	uint64_t* gaussian_keys_unsorted,
-	uint32_t* gaussian_values_unsorted,
-	int* radii,
-	dim3 grid)
-{
-	auto idx = cg::this_grid().thread_rank();
-	if (idx >= P)
-		return;
-
-	// Generate no key/value pair for invisible Gaussians
-	if (radii[idx] > 0)
-	{
-		// Find this Gaussian's offset in buffer for writing keys/values.
-		uint32_t off = (idx == 0) ? 0 : offsets[idx - 1];
-		uint2 rect_min, rect_max;
-
-		getRect(points_xy[idx], radii[idx], rect_min, rect_max, grid);
-
-		// For each tile that the bounding rect overlaps, emit a 
-		// key/value pair. The key is |  tile ID  |      depth      |,
-		// and the value is the ID of the Gaussian. Sorting the values 
-		// with this key yields Gaussian IDs in a list, such that they
-		// are first sorted by tile and then by depth. 
-		for (int y = rect_min.y; y < rect_max.y; y++)
-		{
-			for (int x = rect_min.x; x < rect_max.x; x++)
-			{
-				uint64_t key = y * grid.x + x;
-				key <<= 32;
-				key |= *((uint32_t*)&depths[idx]);
-				gaussian_keys_unsorted[off] = key;
-				gaussian_values_unsorted[off] = idx;
-				off++;
-			}
-		}
-	}
-}
-
-// Check keys to see if it is at the start/end of one tile's range in 
-// the full sorted list. If yes, write start/end of this tile. 
-// Run once per instanced (duplicated) Gaussian ID.
-__global__ void identifyTileRanges(int L, uint64_t* point_list_keys, uint2* ranges)
-{
-	auto idx = cg::this_grid().thread_rank();
-	if (idx >= L)
-		return;
-
-	// Read tile ID from key. Update start/end of tile range if at limit.
-	uint64_t key = point_list_keys[idx];
-	uint32_t currtile = key >> 32;
-	if (idx == 0)
-		ranges[currtile].x = 0;
-	else
-	{
-		uint32_t prevtile = point_list_keys[idx - 1] >> 32;
-		if (currtile != prevtile)
-		{
-			ranges[prevtile].y = idx;
-			ranges[currtile].x = idx;
-		}
-	}
-	if (idx == L - 1)
-		ranges[currtile].y = L;
-}
-
-// Mark Gaussians as visible/invisible, based on view frustum testing
-void CudaRasterizer::Rasterizer::markVisible(
-	int P,
-	float* means3D,
-	float* viewmatrix,
-	float* projmatrix,
-	bool* present)
-{
-	checkFrustum << <(P + 255) / 256, 256 >> > (
-		P,
-		means3D,
-		viewmatrix, projmatrix,
-		present);
-}
-
-CudaRasterizer::GeometryState CudaRasterizer::GeometryState::fromChunk(char*& chunk, size_t P)
-{
-	GeometryState geom;
-	obtain(chunk, geom.depths, P, 128);
-	obtain(chunk, geom.clamped, P * 3, 128);
-	obtain(chunk, geom.internal_radii, P, 128);
-	obtain(chunk, geom.means2D, P, 128);
-	obtain(chunk, geom.cov3D, P * 6, 128);
-	obtain(chunk, geom.conic_opacity, P, 128);
-	obtain(chunk, geom.rgb, P * 3, 128);
-	obtain(chunk, geom.tiles_touched, P, 128);
-	cub::DeviceScan::InclusiveSum(nullptr, geom.scan_size, geom.tiles_touched, geom.tiles_touched, P);
-	obtain(chunk, geom.scanning_space, geom.scan_size, 128);
-	obtain(chunk, geom.point_offsets, P, 128);
-	return geom;
-}
-
-CudaRasterizer::ImageState CudaRasterizer::ImageState::fromChunk(char*& chunk, size_t N)
-{
-	ImageState img;
-	obtain(chunk, img.accum_alpha, N, 128);
-	obtain(chunk, img.n_contrib, N, 128);
-	obtain(chunk, img.ranges, N, 128);
-	return img;
-}
-
-CudaRasterizer::BinningState CudaRasterizer::BinningState::fromChunk(char*& chunk, size_t P)
-{
-	BinningState binning;
-	obtain(chunk, binning.point_list, P, 128);
-	obtain(chunk, binning.point_list_unsorted, P, 128);
-	obtain(chunk, binning.point_list_keys, P, 128);
-	obtain(chunk, binning.point_list_keys_unsorted, P, 128);
-	cub::DeviceRadixSort::SortPairs(
-		nullptr, binning.sorting_size,
-		binning.point_list_keys_unsorted, binning.point_list_keys,
-		binning.point_list_unsorted, binning.point_list, P);
-	obtain(chunk, binning.list_sorting_space, binning.sorting_size, 128);
-	return binning;
-}
-
-// Forward rendering procedure for differentiable rasterization
-// of Gaussians.
-int CudaRasterizer::Rasterizer::forward(
-	std::function<char* (size_t)> geometryBuffer,
-	std::function<char* (size_t)> binningBuffer,
-	std::function<char* (size_t)> imageBuffer,
-	const int P, int D, int M,
-	const float* background,
-	const int width, int height,
-	const float* means3D,
-	const float* shs,
-	const float* colors_precomp,
-	const float* opacities,
-	const float* scales,
-	const float scale_modifier,
-	const float* rotations,
-	const float* cov3D_precomp,
-	const float* viewmatrix,
-	const float* projmatrix,
-	const float* cam_pos,
-	const float tan_fovx, float tan_fovy,
-	const bool prefiltered,
-	float* out_color,
-	int* radii,
-	bool debug)
-{
-	const float focal_y = height / (2.0f * tan_fovy);
-	const float focal_x = width / (2.0f * tan_fovx);
-
-	size_t chunk_size = required<GeometryState>(P);
-	char* chunkptr = geometryBuffer(chunk_size);
-	GeometryState geomState = GeometryState::fromChunk(chunkptr, P);
-
-	if (radii == nullptr)
-	{
-		radii = geomState.internal_radii;
-	}
-
-	dim3 tile_grid((width + BLOCK_X - 1) / BLOCK_X, (height + BLOCK_Y - 1) / BLOCK_Y, 1);
-	dim3 block(BLOCK_X, BLOCK_Y, 1);
-
-	// Dynamically resize image-based auxiliary buffers during training
-	size_t img_chunk_size = required<ImageState>(width * height);
-	char* img_chunkptr = imageBuffer(img_chunk_size);
-	ImageState imgState = ImageState::fromChunk(img_chunkptr, width * height);
-
-	if (NUM_CHANNELS != 3 && colors_precomp == nullptr)
-	{
-		throw std::runtime_error("For non-RGB, provide precomputed Gaussian colors!");
-	}
-
-	// Run preprocessing per-Gaussian (transformation, bounding, conversion of SHs to RGB)
-	CHECK_CUDA(FORWARD::preprocess(
-		P, D, M,
-		means3D,
-		(glm::vec3*)scales,
-		scale_modifier,
-		(glm::vec4*)rotations,
-		opacities,
-		shs,
-		geomState.clamped,
-		cov3D_precomp,
-		colors_precomp,
-		viewmatrix, projmatrix,
-		(glm::vec3*)cam_pos,
-		width, height,
-		focal_x, focal_y,
-		tan_fovx, tan_fovy,
-		radii,
-		geomState.means2D,
-		geomState.depths,
-		geomState.cov3D,
-		geomState.rgb,
-		geomState.conic_opacity,
-		tile_grid,
-		geomState.tiles_touched,
-		prefiltered
-	), debug)
-
-	// Compute prefix sum over full list of touched tile counts by Gaussians
-	// E.g., [2, 3, 0, 2, 1] -> [2, 5, 5, 7, 8]
-	CHECK_CUDA(cub::DeviceScan::InclusiveSum(geomState.scanning_space, geomState.scan_size, geomState.tiles_touched, geomState.point_offsets, P), debug)
-
-	// Retrieve total number of Gaussian instances to launch and resize aux buffers
-	int num_rendered;
-	CHECK_CUDA(cudaMemcpy(&num_rendered, geomState.point_offsets + P - 1, sizeof(int), cudaMemcpyDeviceToHost), debug);
-
-	size_t binning_chunk_size = required<BinningState>(num_rendered);
-	char* binning_chunkptr = binningBuffer(binning_chunk_size);
-	BinningState binningState = BinningState::fromChunk(binning_chunkptr, num_rendered);
-
-	// For each instance to be rendered, produce adequate [ tile | depth ] key 
-	// and corresponding dublicated Gaussian indices to be sorted
-	duplicateWithKeys << <(P + 255) / 256, 256 >> > (
-		P,
-		geomState.means2D,
-		geomState.depths,
-		geomState.point_offsets,
-		binningState.point_list_keys_unsorted,
-		binningState.point_list_unsorted,
-		radii,
-		tile_grid)
-	CHECK_CUDA(, debug)
-
-	int bit = getHigherMsb(tile_grid.x * tile_grid.y);
-
-	// Sort complete list of (duplicated) Gaussian indices by keys
-	CHECK_CUDA(cub::DeviceRadixSort::SortPairs(
-		binningState.list_sorting_space,
-		binningState.sorting_size,
-		binningState.point_list_keys_unsorted, binningState.point_list_keys,
-		binningState.point_list_unsorted, binningState.point_list,
-		num_rendered, 0, 32 + bit), debug)
-
-	CHECK_CUDA(cudaMemset(imgState.ranges, 0, tile_grid.x * tile_grid.y * sizeof(uint2)), debug);
-
-	// Identify start and end of per-tile workloads in sorted list
-	if (num_rendered > 0)
-		identifyTileRanges << <(num_rendered + 255) / 256, 256 >> > (
-			num_rendered,
-			binningState.point_list_keys,
-			imgState.ranges);
-	CHECK_CUDA(, debug)
-
-	// Let each tile blend its range of Gaussians independently in parallel
-	const float* feature_ptr = colors_precomp != nullptr ? colors_precomp : geomState.rgb;
-	CHECK_CUDA(FORWARD::render(
-		tile_grid, block,
-		imgState.ranges,
-		binningState.point_list,
-		width, height,
-		geomState.means2D,
-		feature_ptr,
-		geomState.conic_opacity,
-		imgState.accum_alpha,
-		imgState.n_contrib,
-		background,
-		out_color), debug)
-
-	return num_rendered;
-}
-
-// Produce necessary gradients for optimization, corresponding
-// to forward render pass
-void CudaRasterizer::Rasterizer::backward(
-	const int P, int D, int M, int R,
-	const float* background,
-	const int width, int height,
-	const float* means3D,
-	const float* shs,
-	const float* colors_precomp,
-	const float* scales,
-	const float scale_modifier,
-	const float* rotations,
-	const float* cov3D_precomp,
-	const float* viewmatrix,
-	const float* projmatrix,
-	const float* campos,
-	const float tan_fovx, float tan_fovy,
-	const int* radii,
-	char* geom_buffer,
-	char* binning_buffer,
-	char* img_buffer,
-	const float* dL_dpix,
-	float* dL_dmean2D,
-	float* dL_dconic,
-	float* dL_dopacity,
-	float* dL_dcolor,
-	float* dL_dmean3D,
-	float* dL_dcov3D,
-	float* dL_dsh,
-	float* dL_dscale,
-	float* dL_drot,
-	bool debug)
-{
-	GeometryState geomState = GeometryState::fromChunk(geom_buffer, P);
-	BinningState binningState = BinningState::fromChunk(binning_buffer, R);
-	ImageState imgState = ImageState::fromChunk(img_buffer, width * height);
-
-	if (radii == nullptr)
-	{
-		radii = geomState.internal_radii;
-	}
-
-	const float focal_y = height / (2.0f * tan_fovy);
-	const float focal_x = width / (2.0f * tan_fovx);
-
-	const dim3 tile_grid((width + BLOCK_X - 1) / BLOCK_X, (height + BLOCK_Y - 1) / BLOCK_Y, 1);
-	const dim3 block(BLOCK_X, BLOCK_Y, 1);
-
-	// Compute loss gradients w.r.t. 2D mean position, conic matrix,
-	// opacity and RGB of Gaussians from per-pixel loss gradients.
-	// If we were given precomputed colors and not SHs, use them.
-	const float* color_ptr = (colors_precomp != nullptr) ? colors_precomp : geomState.rgb;
-	CHECK_CUDA(BACKWARD::render(
-		tile_grid,
-		block,
-		imgState.ranges,
-		binningState.point_list,
-		width, height,
-		background,
-		geomState.means2D,
-		geomState.conic_opacity,
-		color_ptr,
-		imgState.accum_alpha,
-		imgState.n_contrib,
-		dL_dpix,
-		(float3*)dL_dmean2D,
-		(float4*)dL_dconic,
-		dL_dopacity,
-		dL_dcolor), debug)
-
-	// Take care of the rest of preprocessing. Was the precomputed covariance
-	// given to us or a scales/rot pair? If precomputed, pass that. If not,
-	// use the one we computed ourselves.
-	const float* cov3D_ptr = (cov3D_precomp != nullptr) ? cov3D_precomp : geomState.cov3D;
-	CHECK_CUDA(BACKWARD::preprocess(P, D, M,
-		(float3*)means3D,
-		radii,
-		shs,
-		geomState.clamped,
-		(glm::vec3*)scales,
-		(glm::vec4*)rotations,
-		scale_modifier,
-		cov3D_ptr,
-		viewmatrix,
-		projmatrix,
-		focal_x, focal_y,
-		tan_fovx, tan_fovy,
-		(glm::vec3*)campos,
-		(float3*)dL_dmean2D,
-		dL_dconic,
-		(glm::vec3*)dL_dmean3D,
-		dL_dcolor,
-		dL_dcov3D,
-		dL_dsh,
-		(glm::vec3*)dL_dscale,
-		(glm::vec4*)dL_drot), debug)
-}

submodules/diff-gaussian-rasterization/cuda_rasterizer/rasterizer_impl.h

@@ -1,74 +0,0 @@
-/*
- * Copyright (C) 2023, Inria
- * GRAPHDECO research group, https://team.inria.fr/graphdeco
- * All rights reserved.
- *
- * This software is free for non-commercial, research and evaluation use 
- * under the terms of the LICENSE.md file.
- *
- * For inquiries contact  george.drettakis@inria.fr
- */
-
-#pragma once
-
-#include <iostream>
-#include <vector>
-#include "rasterizer.h"
-#include <cuda_runtime_api.h>
-
-namespace CudaRasterizer
-{
-	template <typename T>
-	static void obtain(char*& chunk, T*& ptr, std::size_t count, std::size_t alignment)
-	{
-		std::size_t offset = (reinterpret_cast<std::uintptr_t>(chunk) + alignment - 1) & ~(alignment - 1);
-		ptr = reinterpret_cast<T*>(offset);
-		chunk = reinterpret_cast<char*>(ptr + count);
-	}
-
-	struct GeometryState
-	{
-		size_t scan_size;
-		float* depths;
-		char* scanning_space;
-		bool* clamped;
-		int* internal_radii;
-		float2* means2D;
-		float* cov3D;
-		float4* conic_opacity;
-		float* rgb;
-		uint32_t* point_offsets;
-		uint32_t* tiles_touched;
-
-		static GeometryState fromChunk(char*& chunk, size_t P);
-	};
-
-	struct ImageState
-	{
-		uint2* ranges;
-		uint32_t* n_contrib;
-		float* accum_alpha;
-
-		static ImageState fromChunk(char*& chunk, size_t N);
-	};
-
-	struct BinningState
-	{
-		size_t sorting_size;
-		uint64_t* point_list_keys_unsorted;
-		uint64_t* point_list_keys;
-		uint32_t* point_list_unsorted;
-		uint32_t* point_list;
-		char* list_sorting_space;
-
-		static BinningState fromChunk(char*& chunk, size_t P);
-	};
-
-	template<typename T> 
-	size_t required(size_t P)
-	{
-		char* size = nullptr;
-		T::fromChunk(size, P);
-		return ((size_t)size) + 128;
-	}
-};

submodules/diff-gaussian-rasterization/diff_gaussian_rasterization/_C.cpython-39-x86_64-linux-gnu.so

@@ -1,3 +0,0 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:521a1bcd74f39a7ee157dd390de342561d189241559fed7bd376b39ca4a9a7ce
-size 2063192

submodules/diff-gaussian-rasterization/diff_gaussian_rasterization/__init__.py

@@ -1,221 +0,0 @@
-#
-# Copyright (C) 2023, Inria
-# GRAPHDECO research group, https://team.inria.fr/graphdeco
-# All rights reserved.
-#
-# This software is free for non-commercial, research and evaluation use 
-# under the terms of the LICENSE.md file.
-#
-# For inquiries contact  george.drettakis@inria.fr
-#
-
-from typing import NamedTuple
-import torch.nn as nn
-import torch
-from . import _C
-
-def cpu_deep_copy_tuple(input_tuple):
-    copied_tensors = [item.cpu().clone() if isinstance(item, torch.Tensor) else item for item in input_tuple]
-    return tuple(copied_tensors)
-
-def rasterize_gaussians(
-    means3D,
-    means2D,
-    sh,
-    colors_precomp,
-    opacities,
-    scales,
-    rotations,
-    cov3Ds_precomp,
-    raster_settings,
-):
-    return _RasterizeGaussians.apply(
-        means3D,
-        means2D,
-        sh,
-        colors_precomp,
-        opacities,
-        scales,
-        rotations,
-        cov3Ds_precomp,
-        raster_settings,
-    )
-
-class _RasterizeGaussians(torch.autograd.Function):
-    @staticmethod
-    def forward(
-        ctx,
-        means3D,
-        means2D,
-        sh,
-        colors_precomp,
-        opacities,
-        scales,
-        rotations,
-        cov3Ds_precomp,
-        raster_settings,
-    ):
-
-        # Restructure arguments the way that the C++ lib expects them
-        args = (
-            raster_settings.bg, 
-            means3D,
-            colors_precomp,
-            opacities,
-            scales,
-            rotations,
-            raster_settings.scale_modifier,
-            cov3Ds_precomp,
-            raster_settings.viewmatrix,
-            raster_settings.projmatrix,
-            raster_settings.tanfovx,
-            raster_settings.tanfovy,
-            raster_settings.image_height,
-            raster_settings.image_width,
-            sh,
-            raster_settings.sh_degree,
-            raster_settings.campos,
-            raster_settings.prefiltered,
-            raster_settings.debug
-        )
-
-        # Invoke C++/CUDA rasterizer
-        if raster_settings.debug:
-            cpu_args = cpu_deep_copy_tuple(args) # Copy them before they can be corrupted
-            try:
-                num_rendered, color, radii, geomBuffer, binningBuffer, imgBuffer = _C.rasterize_gaussians(*args)
-            except Exception as ex:
-                torch.save(cpu_args, "snapshot_fw.dump")
-                print("\nAn error occured in forward. Please forward snapshot_fw.dump for debugging.")
-                raise ex
-        else:
-            num_rendered, color, radii, geomBuffer, binningBuffer, imgBuffer = _C.rasterize_gaussians(*args)
-
-        # Keep relevant tensors for backward
-        ctx.raster_settings = raster_settings
-        ctx.num_rendered = num_rendered
-        ctx.save_for_backward(colors_precomp, means3D, scales, rotations, cov3Ds_precomp, radii, sh, geomBuffer, binningBuffer, imgBuffer)
-        return color, radii
-
-    @staticmethod
-    def backward(ctx, grad_out_color, _):
-
-        # Restore necessary values from context
-        num_rendered = ctx.num_rendered
-        raster_settings = ctx.raster_settings
-        colors_precomp, means3D, scales, rotations, cov3Ds_precomp, radii, sh, geomBuffer, binningBuffer, imgBuffer = ctx.saved_tensors
-
-        # Restructure args as C++ method expects them
-        args = (raster_settings.bg,
-                means3D, 
-                radii, 
-                colors_precomp, 
-                scales, 
-                rotations, 
-                raster_settings.scale_modifier, 
-                cov3Ds_precomp, 
-                raster_settings.viewmatrix, 
-                raster_settings.projmatrix, 
-                raster_settings.tanfovx, 
-                raster_settings.tanfovy, 
-                grad_out_color, 
-                sh, 
-                raster_settings.sh_degree, 
-                raster_settings.campos,
-                geomBuffer,
-                num_rendered,
-                binningBuffer,
-                imgBuffer,
-                raster_settings.debug)
-
-        # Compute gradients for relevant tensors by invoking backward method
-        if raster_settings.debug:
-            cpu_args = cpu_deep_copy_tuple(args) # Copy them before they can be corrupted
-            try:
-                grad_means2D, grad_colors_precomp, grad_opacities, grad_means3D, grad_cov3Ds_precomp, grad_sh, grad_scales, grad_rotations = _C.rasterize_gaussians_backward(*args)
-            except Exception as ex:
-                torch.save(cpu_args, "snapshot_bw.dump")
-                print("\nAn error occured in backward. Writing snapshot_bw.dump for debugging.\n")
-                raise ex
-        else:
-             grad_means2D, grad_colors_precomp, grad_opacities, grad_means3D, grad_cov3Ds_precomp, grad_sh, grad_scales, grad_rotations = _C.rasterize_gaussians_backward(*args)
-
-        grads = (
-            grad_means3D,
-            grad_means2D,
-            grad_sh,
-            grad_colors_precomp,
-            grad_opacities,
-            grad_scales,
-            grad_rotations,
-            grad_cov3Ds_precomp,
-            None,
-        )
-
-        return grads
-
-class GaussianRasterizationSettings(NamedTuple):
-    image_height: int
-    image_width: int 
-    tanfovx : float
-    tanfovy : float
-    bg : torch.Tensor
-    scale_modifier : float
-    viewmatrix : torch.Tensor
-    projmatrix : torch.Tensor
-    sh_degree : int
-    campos : torch.Tensor
-    prefiltered : bool
-    debug : bool
-
-class GaussianRasterizer(nn.Module):
-    def __init__(self, raster_settings):
-        super().__init__()
-        self.raster_settings = raster_settings
-
-    def markVisible(self, positions):
-        # Mark visible points (based on frustum culling for camera) with a boolean 
-        with torch.no_grad():
-            raster_settings = self.raster_settings
-            visible = _C.mark_visible(
-                positions,
-                raster_settings.viewmatrix,
-                raster_settings.projmatrix)
-            
-        return visible
-
-    def forward(self, means3D, means2D, opacities, shs = None, colors_precomp = None, scales = None, rotations = None, cov3D_precomp = None):
-        
-        raster_settings = self.raster_settings
-
-        if (shs is None and colors_precomp is None) or (shs is not None and colors_precomp is not None):
-            raise Exception('Please provide excatly one of either SHs or precomputed colors!')
-        
-        if ((scales is None or rotations is None) and cov3D_precomp is None) or ((scales is not None or rotations is not None) and cov3D_precomp is not None):
-            raise Exception('Please provide exactly one of either scale/rotation pair or precomputed 3D covariance!')
-        
-        if shs is None:
-            shs = torch.Tensor([])
-        if colors_precomp is None:
-            colors_precomp = torch.Tensor([])
-
-        if scales is None:
-            scales = torch.Tensor([])
-        if rotations is None:
-            rotations = torch.Tensor([])
-        if cov3D_precomp is None:
-            cov3D_precomp = torch.Tensor([])
-
-        # Invoke C++/CUDA rasterization routine
-        return rasterize_gaussians(
-            means3D,
-            means2D,
-            shs,
-            colors_precomp,
-            opacities,
-            scales, 
-            rotations,
-            cov3D_precomp,
-            raster_settings, 
-        )
-

submodules/diff-gaussian-rasterization/ext.cpp

@@ -1,19 +0,0 @@
-/*
- * Copyright (C) 2023, Inria
- * GRAPHDECO research group, https://team.inria.fr/graphdeco
- * All rights reserved.
- *
- * This software is free for non-commercial, research and evaluation use 
- * under the terms of the LICENSE.md file.
- *
- * For inquiries contact  george.drettakis@inria.fr
- */
-
-#include <torch/extension.h>
-#include "rasterize_points.h"
-
-PYBIND11_MODULE(TORCH_EXTENSION_NAME, m) {
-  m.def("rasterize_gaussians", &RasterizeGaussiansCUDA);
-  m.def("rasterize_gaussians_backward", &RasterizeGaussiansBackwardCUDA);
-  m.def("mark_visible", &markVisible);
-}

submodules/diff-gaussian-rasterization/rasterize_points.cu

@@ -1,217 +0,0 @@
-/*
- * Copyright (C) 2023, Inria
- * GRAPHDECO research group, https://team.inria.fr/graphdeco
- * All rights reserved.
- *
- * This software is free for non-commercial, research and evaluation use 
- * under the terms of the LICENSE.md file.
- *
- * For inquiries contact  george.drettakis@inria.fr
- */
-
-#include <math.h>
-#include <torch/extension.h>
-#include <cstdio>
-#include <sstream>
-#include <iostream>
-#include <tuple>
-#include <stdio.h>
-#include <cuda_runtime_api.h>
-#include <memory>
-#include "cuda_rasterizer/config.h"
-#include "cuda_rasterizer/rasterizer.h"
-#include <fstream>
-#include <string>
-#include <functional>
-
-std::function<char*(size_t N)> resizeFunctional(torch::Tensor& t) {
-    auto lambda = [&t](size_t N) {
-        t.resize_({(long long)N});
-		return reinterpret_cast<char*>(t.contiguous().data_ptr());
-    };
-    return lambda;
-}
-
-std::tuple<int, torch::Tensor, torch::Tensor, torch::Tensor, torch::Tensor, torch::Tensor>
-RasterizeGaussiansCUDA(
-	const torch::Tensor& background,
-	const torch::Tensor& means3D,
-    const torch::Tensor& colors,
-    const torch::Tensor& opacity,
-	const torch::Tensor& scales,
-	const torch::Tensor& rotations,
-	const float scale_modifier,
-	const torch::Tensor& cov3D_precomp,
-	const torch::Tensor& viewmatrix,
-	const torch::Tensor& projmatrix,
-	const float tan_fovx, 
-	const float tan_fovy,
-    const int image_height,
-    const int image_width,
-	const torch::Tensor& sh,
-	const int degree,
-	const torch::Tensor& campos,
-	const bool prefiltered,
-	const bool debug)
-{
-  if (means3D.ndimension() != 2 || means3D.size(1) != 3) {
-    AT_ERROR("means3D must have dimensions (num_points, 3)");
-  }
-  
-  const int P = means3D.size(0);
-  const int H = image_height;
-  const int W = image_width;
-
-  auto int_opts = means3D.options().dtype(torch::kInt32);
-  auto float_opts = means3D.options().dtype(torch::kFloat32);
-
-  torch::Tensor out_color = torch::full({NUM_CHANNELS, H, W}, 0.0, float_opts);
-  torch::Tensor radii = torch::full({P}, 0, means3D.options().dtype(torch::kInt32));
-  
-  torch::Device device(torch::kCUDA);
-  torch::TensorOptions options(torch::kByte);
-  torch::Tensor geomBuffer = torch::empty({0}, options.device(device));
-  torch::Tensor binningBuffer = torch::empty({0}, options.device(device));
-  torch::Tensor imgBuffer = torch::empty({0}, options.device(device));
-  std::function<char*(size_t)> geomFunc = resizeFunctional(geomBuffer);
-  std::function<char*(size_t)> binningFunc = resizeFunctional(binningBuffer);
-  std::function<char*(size_t)> imgFunc = resizeFunctional(imgBuffer);
-  
-  int rendered = 0;
-  if(P != 0)
-  {
-	  int M = 0;
-	  if(sh.size(0) != 0)
-	  {
-		M = sh.size(1);
-      }
-
-	  rendered = CudaRasterizer::Rasterizer::forward(
-	    geomFunc,
-		binningFunc,
-		imgFunc,
-	    P, degree, M,
-		background.contiguous().data<float>(),
-		W, H,
-		means3D.contiguous().data<float>(),
-		sh.contiguous().data_ptr<float>(),
-		colors.contiguous().data<float>(), 
-		opacity.contiguous().data<float>(), 
-		scales.contiguous().data_ptr<float>(),
-		scale_modifier,
-		rotations.contiguous().data_ptr<float>(),
-		cov3D_precomp.contiguous().data<float>(), 
-		viewmatrix.contiguous().data<float>(), 
-		projmatrix.contiguous().data<float>(),
-		campos.contiguous().data<float>(),
-		tan_fovx,
-		tan_fovy,
-		prefiltered,
-		out_color.contiguous().data<float>(),
-		radii.contiguous().data<int>(),
-		debug);
-  }
-  return std::make_tuple(rendered, out_color, radii, geomBuffer, binningBuffer, imgBuffer);
-}
-
-std::tuple<torch::Tensor, torch::Tensor, torch::Tensor, torch::Tensor, torch::Tensor, torch::Tensor, torch::Tensor, torch::Tensor>
- RasterizeGaussiansBackwardCUDA(
- 	const torch::Tensor& background,
-	const torch::Tensor& means3D,
-	const torch::Tensor& radii,
-    const torch::Tensor& colors,
-	const torch::Tensor& scales,
-	const torch::Tensor& rotations,
-	const float scale_modifier,
-	const torch::Tensor& cov3D_precomp,
-	const torch::Tensor& viewmatrix,
-    const torch::Tensor& projmatrix,
-	const float tan_fovx,
-	const float tan_fovy,
-    const torch::Tensor& dL_dout_color,
-	const torch::Tensor& sh,
-	const int degree,
-	const torch::Tensor& campos,
-	const torch::Tensor& geomBuffer,
-	const int R,
-	const torch::Tensor& binningBuffer,
-	const torch::Tensor& imageBuffer,
-	const bool debug) 
-{
-  const int P = means3D.size(0);
-  const int H = dL_dout_color.size(1);
-  const int W = dL_dout_color.size(2);
-  
-  int M = 0;
-  if(sh.size(0) != 0)
-  {	
-	M = sh.size(1);
-  }
-
-  torch::Tensor dL_dmeans3D = torch::zeros({P, 3}, means3D.options());
-  torch::Tensor dL_dmeans2D = torch::zeros({P, 3}, means3D.options());
-  torch::Tensor dL_dcolors = torch::zeros({P, NUM_CHANNELS}, means3D.options());
-  torch::Tensor dL_dconic = torch::zeros({P, 2, 2}, means3D.options());
-  torch::Tensor dL_dopacity = torch::zeros({P, 1}, means3D.options());
-  torch::Tensor dL_dcov3D = torch::zeros({P, 6}, means3D.options());
-  torch::Tensor dL_dsh = torch::zeros({P, M, 3}, means3D.options());
-  torch::Tensor dL_dscales = torch::zeros({P, 3}, means3D.options());
-  torch::Tensor dL_drotations = torch::zeros({P, 4}, means3D.options());
-  
-  if(P != 0)
-  {  
-	  CudaRasterizer::Rasterizer::backward(P, degree, M, R,
-	  background.contiguous().data<float>(),
-	  W, H, 
-	  means3D.contiguous().data<float>(),
-	  sh.contiguous().data<float>(),
-	  colors.contiguous().data<float>(),
-	  scales.data_ptr<float>(),
-	  scale_modifier,
-	  rotations.data_ptr<float>(),
-	  cov3D_precomp.contiguous().data<float>(),
-	  viewmatrix.contiguous().data<float>(),
-	  projmatrix.contiguous().data<float>(),
-	  campos.contiguous().data<float>(),
-	  tan_fovx,
-	  tan_fovy,
-	  radii.contiguous().data<int>(),
-	  reinterpret_cast<char*>(geomBuffer.contiguous().data_ptr()),
-	  reinterpret_cast<char*>(binningBuffer.contiguous().data_ptr()),
-	  reinterpret_cast<char*>(imageBuffer.contiguous().data_ptr()),
-	  dL_dout_color.contiguous().data<float>(),
-	  dL_dmeans2D.contiguous().data<float>(),
-	  dL_dconic.contiguous().data<float>(),  
-	  dL_dopacity.contiguous().data<float>(),
-	  dL_dcolors.contiguous().data<float>(),
-	  dL_dmeans3D.contiguous().data<float>(),
-	  dL_dcov3D.contiguous().data<float>(),
-	  dL_dsh.contiguous().data<float>(),
-	  dL_dscales.contiguous().data<float>(),
-	  dL_drotations.contiguous().data<float>(),
-	  debug);
-  }
-
-  return std::make_tuple(dL_dmeans2D, dL_dcolors, dL_dopacity, dL_dmeans3D, dL_dcov3D, dL_dsh, dL_dscales, dL_drotations);
-}
-
-torch::Tensor markVisible(
-		torch::Tensor& means3D,
-		torch::Tensor& viewmatrix,
-		torch::Tensor& projmatrix)
-{ 
-  const int P = means3D.size(0);
-  
-  torch::Tensor present = torch::full({P}, false, means3D.options().dtype(at::kBool));
- 
-  if(P != 0)
-  {
-	CudaRasterizer::Rasterizer::markVisible(P,
-		means3D.contiguous().data<float>(),
-		viewmatrix.contiguous().data<float>(),
-		projmatrix.contiguous().data<float>(),
-		present.contiguous().data<bool>());
-  }
-  
-  return present;
-}

submodules/diff-gaussian-rasterization/rasterize_points.h

@@ -1,67 +0,0 @@
-/*
- * Copyright (C) 2023, Inria
- * GRAPHDECO research group, https://team.inria.fr/graphdeco
- * All rights reserved.
- *
- * This software is free for non-commercial, research and evaluation use 
- * under the terms of the LICENSE.md file.
- *
- * For inquiries contact  george.drettakis@inria.fr
- */
-
-#pragma once
-#include <torch/extension.h>
-#include <cstdio>
-#include <tuple>
-#include <string>
-	
-std::tuple<int, torch::Tensor, torch::Tensor, torch::Tensor, torch::Tensor, torch::Tensor>
-RasterizeGaussiansCUDA(
-	const torch::Tensor& background,
-	const torch::Tensor& means3D,
-    const torch::Tensor& colors,
-    const torch::Tensor& opacity,
-	const torch::Tensor& scales,
-	const torch::Tensor& rotations,
-	const float scale_modifier,
-	const torch::Tensor& cov3D_precomp,
-	const torch::Tensor& viewmatrix,
-	const torch::Tensor& projmatrix,
-	const float tan_fovx, 
-	const float tan_fovy,
-    const int image_height,
-    const int image_width,
-	const torch::Tensor& sh,
-	const int degree,
-	const torch::Tensor& campos,
-	const bool prefiltered,
-	const bool debug);
-
-std::tuple<torch::Tensor, torch::Tensor, torch::Tensor, torch::Tensor, torch::Tensor, torch::Tensor, torch::Tensor, torch::Tensor>
- RasterizeGaussiansBackwardCUDA(
- 	const torch::Tensor& background,
-	const torch::Tensor& means3D,
-	const torch::Tensor& radii,
-    const torch::Tensor& colors,
-	const torch::Tensor& scales,
-	const torch::Tensor& rotations,
-	const float scale_modifier,
-	const torch::Tensor& cov3D_precomp,
-	const torch::Tensor& viewmatrix,
-    const torch::Tensor& projmatrix,
-	const float tan_fovx, 
-	const float tan_fovy,
-    const torch::Tensor& dL_dout_color,
-	const torch::Tensor& sh,
-	const int degree,
-	const torch::Tensor& campos,
-	const torch::Tensor& geomBuffer,
-	const int R,
-	const torch::Tensor& binningBuffer,
-	const torch::Tensor& imageBuffer,
-	const bool debug);
-		
-torch::Tensor markVisible(
-		torch::Tensor& means3D,
-		torch::Tensor& viewmatrix,
-		torch::Tensor& projmatrix);

submodules/diff-gaussian-rasterization/setup.py

@@ -1,34 +0,0 @@
-#
-# Copyright (C) 2023, Inria
-# GRAPHDECO research group, https://team.inria.fr/graphdeco
-# All rights reserved.
-#
-# This software is free for non-commercial, research and evaluation use 
-# under the terms of the LICENSE.md file.
-#
-# For inquiries contact  george.drettakis@inria.fr
-#
-
-from setuptools import setup
-from torch.utils.cpp_extension import CUDAExtension, BuildExtension
-import os
-os.path.dirname(os.path.abspath(__file__))
-
-setup(
-    name="diff_gaussian_rasterization",
-    packages=['diff_gaussian_rasterization'],
-    ext_modules=[
-        CUDAExtension(
-            name="diff_gaussian_rasterization._C",
-            sources=[
-            "cuda_rasterizer/rasterizer_impl.cu",
-            "cuda_rasterizer/forward.cu",
-            "cuda_rasterizer/backward.cu",
-            "rasterize_points.cu",
-            "ext.cpp"],
-            extra_compile_args={"nvcc": ["-I" + os.path.join(os.path.dirname(os.path.abspath(__file__)), "third_party/glm/")]})
-        ],
-    cmdclass={
-        'build_ext': BuildExtension
-    }
-)

submodules/diff-gaussian-rasterization/third_party/glm/.appveyor.yml

@@ -1,92 +0,0 @@
-shallow_clone: true
-
-platform:
-  - x86
-  - x64
-
-configuration:
-  - Debug
-  - Release
-
-image:
-  - Visual Studio 2013
-  - Visual Studio 2015
-  - Visual Studio 2017
-  - Visual Studio 2019
-
-environment:
-  matrix:
-    - GLM_ARGUMENTS: -DGLM_TEST_FORCE_PURE=ON
-    - GLM_ARGUMENTS: -DGLM_TEST_ENABLE_SIMD_SSE2=ON -DGLM_TEST_ENABLE_LANG_EXTENSIONS=ON
-    - GLM_ARGUMENTS: -DGLM_TEST_ENABLE_SIMD_AVX=ON -DGLM_TEST_ENABLE_LANG_EXTENSIONS=ON
-    - GLM_ARGUMENTS: -DGLM_TEST_ENABLE_SIMD_AVX=ON -DGLM_TEST_ENABLE_LANG_EXTENSIONS=ON -DGLM_TEST_ENABLE_CXX_14=ON
-    - GLM_ARGUMENTS: -DGLM_TEST_ENABLE_SIMD_AVX=ON -DGLM_TEST_ENABLE_LANG_EXTENSIONS=ON -DGLM_TEST_ENABLE_CXX_17=ON
-
-matrix:
-    exclude:
-    - image: Visual Studio 2013
-      GLM_ARGUMENTS: -DGLM_TEST_ENABLE_SIMD_AVX=ON -DGLM_TEST_ENABLE_LANG_EXTENSIONS=ON
-    - image: Visual Studio 2013
-      GLM_ARGUMENTS: -DGLM_TEST_ENABLE_SIMD_AVX=ON -DGLM_TEST_ENABLE_LANG_EXTENSIONS=ON -DGLM_TEST_ENABLE_CXX_14=ON
-    - image: Visual Studio 2013
-      GLM_ARGUMENTS: -DGLM_TEST_ENABLE_SIMD_AVX=ON -DGLM_TEST_ENABLE_LANG_EXTENSIONS=ON -DGLM_TEST_ENABLE_CXX_17=ON
-    - image: Visual Studio 2013
-      configuration: Debug
-    - image: Visual Studio 2015
-      GLM_ARGUMENTS: -DGLM_TEST_ENABLE_SIMD_SSE2=ON -DGLM_TEST_ENABLE_LANG_EXTENSIONS=ON
-    - image: Visual Studio 2015
-      GLM_ARGUMENTS: -DGLM_TEST_ENABLE_SIMD_AVX=ON -DGLM_TEST_ENABLE_LANG_EXTENSIONS=ON -DGLM_TEST_ENABLE_CXX_14=ON
-    - image: Visual Studio 2015
-      GLM_ARGUMENTS: -DGLM_TEST_ENABLE_SIMD_AVX=ON -DGLM_TEST_ENABLE_LANG_EXTENSIONS=ON -DGLM_TEST_ENABLE_CXX_17=ON
-    - image: Visual Studio 2015
-      platform: x86
-    - image: Visual Studio 2015
-      configuration: Debug
-    - image: Visual Studio 2017
-      platform: x86
-    - image: Visual Studio 2017
-      configuration: Debug
-    - image: Visual Studio 2019
-      platform: x64
-
-branches:
-  only:
-    - master
-
-before_build:
-  - ps: |
-      mkdir build
-      cd build
-
-      if ("$env:APPVEYOR_JOB_NAME" -match "Image: Visual Studio 2013") {
-          $env:generator="Visual Studio 12 2013"
-      } 
-      if ("$env:APPVEYOR_JOB_NAME" -match "Image: Visual Studio 2015") {
-          $env:generator="Visual Studio 14 2015"
-      } 
-      if ("$env:APPVEYOR_JOB_NAME" -match "Image: Visual Studio 2017") {
-          $env:generator="Visual Studio 15 2017"
-      }
-      if ("$env:APPVEYOR_JOB_NAME" -match "Image: Visual Studio 2019") {
-          $env:generator="Visual Studio 16 2019"
-      }
-      if ($env:PLATFORM -eq "x64") {
-          $env:generator="$env:generator Win64"
-      }
-      echo generator="$env:generator"
-      cmake .. -G "$env:generator" -DCMAKE_INSTALL_PREFIX="$env:APPVEYOR_BUILD_FOLDER/install" -DGLM_QUIET=ON -DGLM_TEST_ENABLE=ON "$env:GLM_ARGUMENTS"
-
-build_script:
-  - cmake --build . --parallel --config %CONFIGURATION% -- /m /v:minimal
-  - cmake --build . --target install --parallel --config %CONFIGURATION% -- /m /v:minimal
-
-test_script:
-  - ctest --parallel 4 --verbose -C %CONFIGURATION%
-  - cd ..
-  - ps: |
-      mkdir build_test_cmake
-      cd build_test_cmake
-      cmake ..\test\cmake\ -G "$env:generator" -DCMAKE_PREFIX_PATH="$env:APPVEYOR_BUILD_FOLDER/install"
-  - cmake --build . --parallel --config %CONFIGURATION% -- /m /v:minimal
-
-deploy: off

submodules/diff-gaussian-rasterization/third_party/glm/.gitignore

@@ -1,61 +0,0 @@
-# Compiled Object files
-*.slo
-*.lo
-*.o
-*.obj
-
-# Precompiled Headers
-*.gch
-*.pch
-
-# Compiled Dynamic libraries
-*.so
-*.dylib
-*.dll
-
-# Fortran module files
-*.mod
-
-# Compiled Static libraries
-*.lai
-*.la
-*.a
-*.lib
-
-# Executables
-*.exe
-*.out
-*.app
-
-# CMake
-CMakeCache.txt
-CMakeFiles
-cmake_install.cmake
-install_manifest.txt
-*.cmake
-!glmConfig.cmake
-!glmConfig-version.cmake
-# ^ May need to add future .cmake files as exceptions
-
-# Test logs
-Testing/*
-
-# Test input
-test/gtc/*.dds
-
-# Project Files
-Makefile
-*.cbp
-*.user
-
-# Misc.
-*.log
-
-# local build(s)
-build*
-
-/.vs
-/.vscode
-/CMakeSettings.json
-.DS_Store
-*.swp

submodules/diff-gaussian-rasterization/third_party/glm/.travis.yml

@@ -1,388 +0,0 @@
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-
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-        - CMAKE_BUILD_ENV="-DCMAKE_BUILD_TYPE=Debug -DGLM_TEST_ENABLE=ON -DGLM_TEST_ENABLE_CXX_14=ON -DGLM_TEST_ENABLE_LANG_EXTENSIONS=ON -DGLM_TEST_ENABLE_SIMD_SSE2=ON"
-        - CTEST_ENV="--parallel 4 --output-on-failure"
-        - CMAKE_ENV="--parallel"
-
-    - name: "Clang C++14 sse2 debug"
-      os: linux
-      dist: focal
-      env:
-        - MATRIX_EVAL="CC=clang && CXX=clang++"
-        - CMAKE_BUILD_ENV="-DCMAKE_BUILD_TYPE=Debug -DGLM_TEST_ENABLE=ON -DGLM_TEST_ENABLE_CXX_14=ON -DGLM_TEST_ENABLE_LANG_EXTENSIONS=ON -DGLM_TEST_ENABLE_SIMD_SSE2=ON"
-        - CTEST_ENV="--parallel 4 --output-on-failure"
-        - CMAKE_ENV="--parallel"
-
-    - name: "Clang C++17 sse2 debug"
-      os: linux
-      dist: focal
-      env:
-        - MATRIX_EVAL="CC=clang && CXX=clang++"
-        - CMAKE_BUILD_ENV="-DCMAKE_BUILD_TYPE=Debug -DGLM_TEST_ENABLE=ON -DGLM_TEST_ENABLE_CXX_17=ON -DGLM_TEST_ENABLE_LANG_EXTENSIONS=ON -DGLM_TEST_ENABLE_SIMD_SSE2=ON"
-        - CTEST_ENV="--parallel 4 --output-on-failure"
-        - CMAKE_ENV="--parallel"
-
-    - name: "Clang C++17 avx2 debug"
-      os: linux
-      dist: focal
-      env:
-        - MATRIX_EVAL="CC=clang && CXX=clang++"
-        - CMAKE_BUILD_ENV="-DCMAKE_BUILD_TYPE=Debug -DGLM_TEST_ENABLE=ON -DGLM_TEST_ENABLE_CXX_17=ON -DGLM_TEST_ENABLE_LANG_EXTENSIONS=ON -DGLM_TEST_ENABLE_SIMD_AVX2=ON"
-        - CTEST_ENV="--parallel 4 --output-on-failure"
-        - CMAKE_ENV="--parallel"
-
-    - name: "Clang C++17 pure debug"
-      os: linux
-      dist: focal
-      env:
-        - MATRIX_EVAL="CC=clang && CXX=clang++"
-        - CMAKE_BUILD_ENV="-DCMAKE_BUILD_TYPE=Debug -DGLM_TEST_ENABLE=ON -DGLM_TEST_ENABLE_CXX_17=ON -DGLM_TEST_FORCE_PURE=ON"
-        - CTEST_ENV="--parallel 4 --output-on-failure"
-        - CMAKE_ENV="--parallel"
-
-    - name: "Clang C++17 pure release"
-      os: linux
-      dist: focal
-      env:
-        - MATRIX_EVAL="CC=clang && CXX=clang++"
-        - CMAKE_BUILD_ENV="-DCMAKE_BUILD_TYPE=Release -DGLM_TEST_ENABLE=ON -DGLM_TEST_ENABLE_CXX_17=ON -DGLM_TEST_FORCE_PURE=ON"
-        - CTEST_ENV="--parallel 4 --output-on-failure"
-        - CMAKE_ENV="--parallel"
-
-before_script:
-    - cmake --version
-    - eval "${MATRIX_EVAL}"
-
-script:
-  - ${CC} --version
-  - mkdir ./build
-  - cd ./build
-  - cmake -DCMAKE_INSTALL_PREFIX=$TRAVIS_BUILD_DIR/install -DCMAKE_CXX_COMPILER=$COMPILER ${CMAKE_BUILD_ENV} ..
-  - cmake --build . ${CMAKE_ENV}
-  - ctest ${CTEST_ENV}
-  - cmake --build . --target install ${CMAKE_ENV}
-  - cd $TRAVIS_BUILD_DIR
-  - mkdir ./build_test_cmake
-  - cd ./build_test_cmake
-  - cmake -DCMAKE_CXX_COMPILER=$COMPILER $TRAVIS_BUILD_DIR/test/cmake/ -DCMAKE_PREFIX_PATH=$TRAVIS_BUILD_DIR/install
-  - cmake --build .
-
-

submodules/diff-gaussian-rasterization/third_party/glm/CMakeLists.txt

@@ -1,45 +0,0 @@
-cmake_minimum_required(VERSION 3.2 FATAL_ERROR)
-cmake_policy(VERSION 3.2)
-
-
-file(READ "glm/detail/setup.hpp" GLM_SETUP_FILE)
-string(REGEX MATCH "#define[ ]+GLM_VERSION_MAJOR[ ]+([0-9]+)" _ ${GLM_SETUP_FILE})
-set(GLM_VERSION_MAJOR "${CMAKE_MATCH_1}")
-string(REGEX MATCH "#define[ ]+GLM_VERSION_MINOR[ ]+([0-9]+)" _ ${GLM_SETUP_FILE})
-set(GLM_VERSION_MINOR "${CMAKE_MATCH_1}")
-string(REGEX MATCH "#define[ ]+GLM_VERSION_PATCH[ ]+([0-9]+)" _ ${GLM_SETUP_FILE})
-set(GLM_VERSION_PATCH "${CMAKE_MATCH_1}")
-string(REGEX MATCH "#define[ ]+GLM_VERSION_REVISION[ ]+([0-9]+)" _ ${GLM_SETUP_FILE})
-set(GLM_VERSION_REVISION "${CMAKE_MATCH_1}")
-
-set(GLM_VERSION ${GLM_VERSION_MAJOR}.${GLM_VERSION_MINOR}.${GLM_VERSION_PATCH}.${GLM_VERSION_REVISION})
-project(glm VERSION ${GLM_VERSION} LANGUAGES CXX)
-message(STATUS "GLM: Version " ${GLM_VERSION})
-
-add_subdirectory(glm)
-add_library(glm::glm ALIAS glm)
-
-if(${CMAKE_SOURCE_DIR} STREQUAL ${CMAKE_CURRENT_SOURCE_DIR})
-
-	include(CPack)
-	install(DIRECTORY glm DESTINATION ${CMAKE_INSTALL_INCLUDEDIR} PATTERN "CMakeLists.txt" EXCLUDE)
-	install(EXPORT glm FILE glmConfig.cmake DESTINATION ${CMAKE_INSTALL_LIBDIR}/cmake/glm NAMESPACE glm::)
-	include(CMakePackageConfigHelpers)
-	write_basic_package_version_file("glmConfigVersion.cmake" COMPATIBILITY AnyNewerVersion)
-	install(FILES ${CMAKE_CURRENT_BINARY_DIR}/glmConfigVersion.cmake DESTINATION ${CMAKE_INSTALL_LIBDIR}/cmake/glm)
-
-	include(CTest)
-	if(BUILD_TESTING)
-		add_subdirectory(test)
-	endif()
-
-endif(${CMAKE_SOURCE_DIR} STREQUAL ${CMAKE_CURRENT_SOURCE_DIR})
-
-if (NOT TARGET uninstall)
-configure_file(cmake/cmake_uninstall.cmake.in
-               cmake_uninstall.cmake IMMEDIATE @ONLY)
-
-add_custom_target(uninstall
-                  "${CMAKE_COMMAND}" -P
-                  "${CMAKE_BINARY_DIR}/cmake_uninstall.cmake")
-endif()

submodules/diff-gaussian-rasterization/third_party/glm/cmake/cmake_uninstall.cmake.in

@@ -1,21 +0,0 @@
-if(NOT EXISTS "@CMAKE_BINARY_DIR@/install_manifest.txt")
-  message(FATAL_ERROR "Cannot find install manifest: @CMAKE_BINARY_DIR@/install_manifest.txt")
-endif()
-
-file(READ "@CMAKE_BINARY_DIR@/install_manifest.txt" files)
-string(REGEX REPLACE "\n" ";" files "${files}")
-foreach(file ${files})
-  message(STATUS "Uninstalling $ENV{DESTDIR}${file}")
-  if(IS_SYMLINK "$ENV{DESTDIR}${file}" OR EXISTS "$ENV{DESTDIR}${file}")
-    exec_program(
-      "@CMAKE_COMMAND@" ARGS "-E remove \"$ENV{DESTDIR}${file}\""
-      OUTPUT_VARIABLE rm_out
-      RETURN_VALUE rm_retval
-      )
-    if(NOT "${rm_retval}" STREQUAL 0)
-      message(FATAL_ERROR "Problem when removing $ENV{DESTDIR}${file}")
-    endif()
-  else(IS_SYMLINK "$ENV{DESTDIR}${file}" OR EXISTS "$ENV{DESTDIR}${file}")
-    message(STATUS "File $ENV{DESTDIR}${file} does not exist.")
-  endif()
-endforeach()

submodules/diff-gaussian-rasterization/third_party/glm/copying.txt

@@ -1,54 +0,0 @@
-================================================================================
-OpenGL Mathematics (GLM)
---------------------------------------------------------------------------------
-GLM is licensed under The Happy Bunny License or MIT License
-
-================================================================================
-The Happy Bunny License (Modified MIT License)
---------------------------------------------------------------------------------
-Copyright (c) 2005 - G-Truc Creation
-
-Permission is hereby granted, free of charge, to any person obtaining a copy
-of this software and associated documentation files (the "Software"), to deal
-in the Software without restriction, including without limitation the rights
-to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
-copies of the Software, and to permit persons to whom the Software is
-furnished to do so, subject to the following conditions:
-
-The above copyright notice and this permission notice shall be included in
-all copies or substantial portions of the Software.
-
-Restrictions:
- By making use of the Software for military purposes, you choose to make a
- Bunny unhappy.
-
-THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
-IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
-FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
-AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
-LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
-OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
-THE SOFTWARE.
-
-================================================================================
-The MIT License
---------------------------------------------------------------------------------
-Copyright (c) 2005 - G-Truc Creation
-
-Permission is hereby granted, free of charge, to any person obtaining a copy
-of this software and associated documentation files (the "Software"), to deal
-in the Software without restriction, including without limitation the rights
-to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
-copies of the Software, and to permit persons to whom the Software is
-furnished to do so, subject to the following conditions:
-
-The above copyright notice and this permission notice shall be included in
-all copies or substantial portions of the Software.
-
-THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
-IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
-FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
-AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
-LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
-OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
-THE SOFTWARE.

submodules/diff-gaussian-rasterization/third_party/glm/doc/api/a00001_source.html

@@ -1,493 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
-<html xmlns="http://www.w3.org/1999/xhtml">
-<head>
-<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
-<meta http-equiv="X-UA-Compatible" content="IE=9"/>
-<meta name="generator" content="Doxygen 1.8.10"/>
-<title>0.9.9 API documentation: _features.hpp Source File</title>
-<link href="tabs.css" rel="stylesheet" type="text/css"/>
-<script type="text/javascript" src="jquery.js"></script>
-<script type="text/javascript" src="dynsections.js"></script>
-<link href="search/search.css" rel="stylesheet" type="text/css"/>
-<script type="text/javascript" src="search/searchdata.js"></script>
-<script type="text/javascript" src="search/search.js"></script>
-<script type="text/javascript">
-  $(document).ready(function() { init_search(); });
-</script>
-<link href="doxygen.css" rel="stylesheet" type="text/css" />
-</head>
-<body>
-<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
-<div id="titlearea">
-<table cellspacing="0" cellpadding="0">
- <tbody>
- <tr style="height: 56px;">
-  <td id="projectlogo"><img alt="Logo" src="logo-mini.png"/></td>
-  <td id="projectalign" style="padding-left: 0.5em;">
-   <div id="projectname">0.9.9 API documentation
-   </div>
-  </td>
- </tr>
- </tbody>
-</table>
-</div>
-<!-- end header part -->
-<!-- Generated by Doxygen 1.8.10 -->
-<script type="text/javascript">
-var searchBox = new SearchBox("searchBox", "search",false,'Search');
-</script>
-  <div id="navrow1" class="tabs">
-    <ul class="tablist">
-      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
-      <li><a href="modules.html"><span>Modules</span></a></li>
-      <li class="current"><a href="files.html"><span>Files</span></a></li>
-      <li>
-        <div id="MSearchBox" class="MSearchBoxInactive">
-        <span class="left">
-          <img id="MSearchSelect" src="search/mag_sel.png"
-               onmouseover="return searchBox.OnSearchSelectShow()"
-               onmouseout="return searchBox.OnSearchSelectHide()"
-               alt=""/>
-          <input type="text" id="MSearchField" value="Search" accesskey="S"
-               onfocus="searchBox.OnSearchFieldFocus(true)" 
-               onblur="searchBox.OnSearchFieldFocus(false)" 
-               onkeyup="searchBox.OnSearchFieldChange(event)"/>
-          </span><span class="right">
-            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
-          </span>
-        </div>
-      </li>
-    </ul>
-  </div>
-  <div id="navrow2" class="tabs2">
-    <ul class="tablist">
-      <li><a href="files.html"><span>File&#160;List</span></a></li>
-    </ul>
-  </div>
-<!-- window showing the filter options -->
-<div id="MSearchSelectWindow"
-     onmouseover="return searchBox.OnSearchSelectShow()"
-     onmouseout="return searchBox.OnSearchSelectHide()"
-     onkeydown="return searchBox.OnSearchSelectKey(event)">
-</div>
-
-<!-- iframe showing the search results (closed by default) -->
-<div id="MSearchResultsWindow">
-<iframe src="javascript:void(0)" frameborder="0" 
-        name="MSearchResults" id="MSearchResults">
-</iframe>
-</div>
-
-<div id="nav-path" class="navpath">
-  <ul>
-<li class="navelem"><a class="el" href="dir_3a581ba30d25676e4b797b1f96d53b45.html">F:</a></li><li class="navelem"><a class="el" href="dir_9e5fe034a00e89334fd5186c3e7db156.html">G-Truc</a></li><li class="navelem"><a class="el" href="dir_d9496f0844b48bc7e53b5af8c99b9ab2.html">Source</a></li><li class="navelem"><a class="el" href="dir_a8bee7be44182a33f3820393ae0b105d.html">G-Truc</a></li><li class="navelem"><a class="el" href="dir_44e5e654415abd9ca6fdeaddaff8565e.html">glm</a></li><li class="navelem"><a class="el" href="dir_cef2d71d502cb69a9252bca2297d9549.html">glm</a></li><li class="navelem"><a class="el" href="dir_033f5edb0915b828d2c46ed4804e5503.html">detail</a></li>  </ul>
-</div>
-</div><!-- top -->
-<div class="header">
-  <div class="headertitle">
-<div class="title">_features.hpp</div>  </div>
-</div><!--header-->
-<div class="contents">
-<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#pragma once</span></div>
-<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;</div>
-<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">// #define GLM_CXX98_EXCEPTIONS</span></div>
-<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// #define GLM_CXX98_RTTI</span></div>
-<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
-<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">// #define GLM_CXX11_RVALUE_REFERENCES</span></div>
-<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">// Rvalue references - GCC 4.3</span></div>
-<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2006/n2118.html</span></div>
-<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
-<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment">// GLM_CXX11_TRAILING_RETURN</span></div>
-<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment">// Rvalue references for *this - GCC not supported</span></div>
-<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2007/n2439.htm</span></div>
-<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
-<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="comment">// GLM_CXX11_NONSTATIC_MEMBER_INIT</span></div>
-<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment">// Initialization of class objects by rvalues - GCC any</span></div>
-<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2004/n1610.html</span></div>
-<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
-<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment">// GLM_CXX11_NONSTATIC_MEMBER_INIT</span></div>
-<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment">// Non-static data member initializers - GCC 4.7</span></div>
-<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment">// http://www.open-std.org/JTC1/SC22/WG21/docs/papers/2008/n2756.htm</span></div>
-<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
-<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="comment">// #define GLM_CXX11_VARIADIC_TEMPLATE</span></div>
-<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="comment">// Variadic templates - GCC 4.3</span></div>
-<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2007/n2242.pdf</span></div>
-<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
-<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="comment">// Extending variadic template template parameters - GCC 4.4</span></div>
-<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2008/n2555.pdf</span></div>
-<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
-<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="comment">// #define GLM_CXX11_GENERALIZED_INITIALIZERS</span></div>
-<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="comment">// Initializer lists - GCC 4.4</span></div>
-<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2008/n2672.htm</span></div>
-<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
-<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="comment">// #define GLM_CXX11_STATIC_ASSERT</span></div>
-<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="comment">// Static assertions - GCC 4.3</span></div>
-<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2004/n1720.html</span></div>
-<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
-<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="comment">// #define GLM_CXX11_AUTO_TYPE</span></div>
-<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="comment">// auto-typed variables - GCC 4.4</span></div>
-<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2006/n1984.pdf</span></div>
-<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
-<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="comment">// #define GLM_CXX11_AUTO_TYPE</span></div>
-<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="comment">// Multi-declarator auto - GCC 4.4</span></div>
-<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2004/n1737.pdf</span></div>
-<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
-<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="comment">// #define GLM_CXX11_AUTO_TYPE</span></div>
-<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="comment">// Removal of auto as a storage-class specifier - GCC 4.4</span></div>
-<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2008/n2546.htm</span></div>
-<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
-<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="comment">// #define GLM_CXX11_AUTO_TYPE</span></div>
-<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;<span class="comment">// New function declarator syntax - GCC 4.4</span></div>
-<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2008/n2541.htm</span></div>
-<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
-<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;<span class="comment">// #define GLM_CXX11_LAMBDAS</span></div>
-<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;<span class="comment">// New wording for C++0x lambdas - GCC 4.5</span></div>
-<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;<span class="comment">// http://www.open-std.org/JTC1/SC22/WG21/docs/papers/2009/n2927.pdf</span></div>
-<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
-<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;<span class="comment">// #define GLM_CXX11_DECLTYPE</span></div>
-<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;<span class="comment">// Declared type of an expression - GCC 4.3</span></div>
-<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2007/n2343.pdf</span></div>
-<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
-<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;<span class="comment">// Right angle brackets - GCC 4.3</span></div>
-<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2005/n1757.html</span></div>
-<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
-<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;<span class="comment">// Default template arguments for function templates    DR226   GCC 4.3</span></div>
-<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/cwg_defects.html#226</span></div>
-<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
-<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;<span class="comment">// Solving the SFINAE problem for expressions   DR339   GCC 4.4</span></div>
-<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2008/n2634.html</span></div>
-<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
-<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;<span class="comment">// #define GLM_CXX11_ALIAS_TEMPLATE</span></div>
-<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;<span class="comment">// Template aliases     N2258   GCC 4.7</span></div>
-<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2007/n2258.pdf</span></div>
-<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
-<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;<span class="comment">// Extern templates     N1987   Yes</span></div>
-<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2006/n1987.htm</span></div>
-<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div>
-<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;<span class="comment">// #define GLM_CXX11_NULLPTR</span></div>
-<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;<span class="comment">// Null pointer constant        N2431   GCC 4.6</span></div>
-<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2007/n2431.pdf</span></div>
-<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
-<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;<span class="comment">// #define GLM_CXX11_STRONG_ENUMS</span></div>
-<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;<span class="comment">// Strongly-typed enums N2347   GCC 4.4</span></div>
-<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2007/n2347.pdf</span></div>
-<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
-<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;<span class="comment">// Forward declarations for enums       N2764   GCC 4.6</span></div>
-<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2008/n2764.pdf</span></div>
-<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
-<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;<span class="comment">// Generalized attributes       N2761   GCC 4.8</span></div>
-<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2008/n2761.pdf</span></div>
-<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div>
-<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;<span class="comment">// Generalized constant expressions     N2235   GCC 4.6</span></div>
-<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2007/n2235.pdf</span></div>
-<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
-<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;<span class="comment">// Alignment support    N2341   GCC 4.8</span></div>
-<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2007/n2341.pdf</span></div>
-<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;</div>
-<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;<span class="comment">// #define GLM_CXX11_DELEGATING_CONSTRUCTORS</span></div>
-<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;<span class="comment">// Delegating constructors      N1986   GCC 4.7</span></div>
-<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2006/n1986.pdf</span></div>
-<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;</div>
-<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;<span class="comment">// Inheriting constructors      N2540   GCC 4.8</span></div>
-<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2008/n2540.htm</span></div>
-<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;</div>
-<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;<span class="comment">// #define GLM_CXX11_EXPLICIT_CONVERSIONS</span></div>
-<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;<span class="comment">// Explicit conversion operators        N2437   GCC 4.5</span></div>
-<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2007/n2437.pdf</span></div>
-<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;</div>
-<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;<span class="comment">// New character types  N2249   GCC 4.4</span></div>
-<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2007/n2249.html</span></div>
-<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;</div>
-<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;<span class="comment">// Unicode string literals      N2442   GCC 4.5</span></div>
-<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2007/n2442.htm</span></div>
-<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div>
-<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;<span class="comment">// Raw string literals  N2442   GCC 4.5</span></div>
-<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2007/n2442.htm</span></div>
-<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;</div>
-<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;<span class="comment">// Universal character name literals    N2170   GCC 4.5</span></div>
-<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2007/n2170.html</span></div>
-<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;</div>
-<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;<span class="comment">// #define GLM_CXX11_USER_LITERALS</span></div>
-<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;<span class="comment">// User-defined literals                N2765   GCC 4.7</span></div>
-<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2008/n2765.pdf</span></div>
-<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;</div>
-<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;<span class="comment">// Standard Layout Types        N2342   GCC 4.5</span></div>
-<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2007/n2342.htm</span></div>
-<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;</div>
-<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;<span class="comment">// #define GLM_CXX11_DEFAULTED_FUNCTIONS</span></div>
-<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;<span class="comment">// #define GLM_CXX11_DELETED_FUNCTIONS</span></div>
-<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;<span class="comment">// Defaulted and deleted functions      N2346   GCC 4.4</span></div>
-<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2007/n2346.htm</span></div>
-<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;</div>
-<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;<span class="comment">// Extended friend declarations N1791   GCC 4.7</span></div>
-<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2005/n1791.pdf</span></div>
-<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;</div>
-<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;<span class="comment">// Extending sizeof     N2253   GCC 4.4</span></div>
-<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2007/n2253.html</span></div>
-<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;</div>
-<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;<span class="comment">// #define GLM_CXX11_INLINE_NAMESPACES</span></div>
-<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;<span class="comment">// Inline namespaces    N2535   GCC 4.4</span></div>
-<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2008/n2535.htm</span></div>
-<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;</div>
-<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;<span class="comment">// #define GLM_CXX11_UNRESTRICTED_UNIONS</span></div>
-<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;<span class="comment">// Unrestricted unions  N2544   GCC 4.6</span></div>
-<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2008/n2544.pdf</span></div>
-<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;</div>
-<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;<span class="comment">// #define GLM_CXX11_LOCAL_TYPE_TEMPLATE_ARGS</span></div>
-<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;<span class="comment">// Local and unnamed types as template arguments        N2657   GCC 4.5</span></div>
-<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2008/n2657.htm</span></div>
-<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;</div>
-<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;<span class="comment">// #define GLM_CXX11_RANGE_FOR</span></div>
-<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;<span class="comment">// Range-based for      N2930   GCC 4.6</span></div>
-<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;<span class="comment">// http://www.open-std.org/JTC1/SC22/WG21/docs/papers/2009/n2930.html</span></div>
-<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;</div>
-<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;<span class="comment">// #define GLM_CXX11_OVERRIDE_CONTROL</span></div>
-<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;<span class="comment">// Explicit virtual overrides   N2928 N3206 N3272       GCC 4.7</span></div>
-<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;<span class="comment">// http://www.open-std.org/JTC1/SC22/WG21/docs/papers/2009/n2928.htm</span></div>
-<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2010/n3206.htm</span></div>
-<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2011/n3272.htm</span></div>
-<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;</div>
-<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;<span class="comment">// Minimal support for garbage collection and reachability-based leak detection N2670   No</span></div>
-<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2008/n2670.htm</span></div>
-<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;</div>
-<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;<span class="comment">// #define GLM_CXX11_NOEXCEPT</span></div>
-<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;<span class="comment">// Allowing move constructors to throw [noexcept]       N3050   GCC 4.6 (core language only)</span></div>
-<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2010/n3050.html</span></div>
-<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;</div>
-<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;<span class="comment">// Defining move special member functions       N3053   GCC 4.6</span></div>
-<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2010/n3053.html</span></div>
-<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;</div>
-<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;<span class="comment">// Sequence points      N2239   Yes</span></div>
-<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2007/n2239.html</span></div>
-<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;</div>
-<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;<span class="comment">// Atomic operations    N2427   GCC 4.4</span></div>
-<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2007/n2239.html</span></div>
-<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;</div>
-<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;<span class="comment">// Strong Compare and Exchange  N2748   GCC 4.5</span></div>
-<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2007/n2427.html</span></div>
-<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;</div>
-<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;<span class="comment">// Bidirectional Fences N2752   GCC 4.8</span></div>
-<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2008/n2752.htm</span></div>
-<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;</div>
-<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;<span class="comment">// Memory model N2429   GCC 4.8</span></div>
-<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2007/n2429.htm</span></div>
-<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;</div>
-<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;<span class="comment">// Data-dependency ordering: atomics and memory model   N2664   GCC 4.4</span></div>
-<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2008/n2664.htm</span></div>
-<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;</div>
-<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;<span class="comment">//</span></div>
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-<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;</div>
-<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;<span class="comment">// Abandoning a process and at_quick_exit       N2440   GCC 4.8</span></div>
-<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2007/n2440.htm</span></div>
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-<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;</div>
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-<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2008/n2659.htm</span></div>
-<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;</div>
-<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;<span class="comment">//</span></div>
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-<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2008/n2660.htm</span></div>
-<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;</div>
-<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;<span class="comment">// __func__ predefined identifier       N2340   GCC 4.3</span></div>
-<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2007/n2340.htm</span></div>
-<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;</div>
-<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;<span class="comment">//</span></div>
-<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;<span class="comment">// C99 preprocessor     N1653   GCC 4.3</span></div>
-<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2004/n1653.htm</span></div>
-<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;</div>
-<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;<span class="comment">//</span></div>
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-<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2005/n1811.pdf</span></div>
-<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;</div>
-<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;<span class="comment">//</span></div>
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-<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;<span class="comment">// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2006/n1988.pdf</span></div>
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-<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;<span class="preprocessor">#elif(GLM_COMPILER &amp; GLM_COMPILER_CLANG)</span></div>
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-<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;<span class="preprocessor">#       endif</span></div>
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-<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;<span class="preprocessor">#       endif</span></div>
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-<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;<span class="preprocessor">#       if(__has_feature(cxx_constexpr))</span></div>
-<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;<span class="preprocessor">#               define GLM_CXX11_CONSTEXPR</span></div>
-<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;<span class="preprocessor">#       endif</span></div>
-<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;</div>
-<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;<span class="preprocessor">#       if(__has_feature(cxx_decltype))</span></div>
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-<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;<span class="preprocessor">#       endif</span></div>
-<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;</div>
-<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;<span class="preprocessor">#       if(__has_feature(cxx_default_function_template_args))</span></div>
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-<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;<span class="preprocessor">#       endif</span></div>
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-<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;<span class="preprocessor">#       if(__has_feature(cxx_defaulted_functions))</span></div>
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-Functions</h2></td></tr>
-<tr class="memitem:ga7d9c8785230c8db60f72ec8975f1ba45"><td class="memTemplParams" colspan="2">template&lt;typename T , typename U &gt; </td></tr>
-<tr class="memitem:ga7d9c8785230c8db60f72ec8975f1ba45"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL U&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00308.html#ga7d9c8785230c8db60f72ec8975f1ba45">associatedMax</a> (T x, U a, T y, U b)</td></tr>
-<tr class="memdesc:ga7d9c8785230c8db60f72ec8975f1ba45"><td class="mdescLeft">&#160;</td><td class="mdescRight">Maximum comparison between 2 variables and returns 2 associated variable values.  <a href="a00308.html#ga7d9c8785230c8db60f72ec8975f1ba45">More...</a><br /></td></tr>
-<tr class="separator:ga7d9c8785230c8db60f72ec8975f1ba45"><td class="memSeparator" colspan="2">&#160;</td></tr>
-<tr class="memitem:ga5c6758bc50aa7fbe700f87123a045aad"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , typename U , qualifier Q&gt; </td></tr>
-<tr class="memitem:ga5c6758bc50aa7fbe700f87123a045aad"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; 2, U, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00308.html#ga5c6758bc50aa7fbe700f87123a045aad">associatedMax</a> (vec&lt; L, T, Q &gt; const &amp;x, vec&lt; L, U, Q &gt; const &amp;a, vec&lt; L, T, Q &gt; const &amp;y, vec&lt; L, U, Q &gt; const &amp;b)</td></tr>
-<tr class="memdesc:ga5c6758bc50aa7fbe700f87123a045aad"><td class="mdescLeft">&#160;</td><td class="mdescRight">Maximum comparison between 2 variables and returns 2 associated variable values.  <a href="a00308.html#ga5c6758bc50aa7fbe700f87123a045aad">More...</a><br /></td></tr>
-<tr class="separator:ga5c6758bc50aa7fbe700f87123a045aad"><td class="memSeparator" colspan="2">&#160;</td></tr>
-<tr class="memitem:ga0d169d6ce26b03248df175f39005d77f"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , typename U , qualifier Q&gt; </td></tr>
-<tr class="memitem:ga0d169d6ce26b03248df175f39005d77f"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00308.html#ga0d169d6ce26b03248df175f39005d77f">associatedMax</a> (T x, vec&lt; L, U, Q &gt; const &amp;a, T y, vec&lt; L, U, Q &gt; const &amp;b)</td></tr>
-<tr class="memdesc:ga0d169d6ce26b03248df175f39005d77f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Maximum comparison between 2 variables and returns 2 associated variable values.  <a href="a00308.html#ga0d169d6ce26b03248df175f39005d77f">More...</a><br /></td></tr>
-<tr class="separator:ga0d169d6ce26b03248df175f39005d77f"><td class="memSeparator" colspan="2">&#160;</td></tr>
-<tr class="memitem:ga4086269afabcb81dd7ded33cb3448653"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , typename U , qualifier Q&gt; </td></tr>
-<tr class="memitem:ga4086269afabcb81dd7ded33cb3448653"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, U, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00308.html#ga4086269afabcb81dd7ded33cb3448653">associatedMax</a> (vec&lt; L, T, Q &gt; const &amp;x, U a, vec&lt; L, T, Q &gt; const &amp;y, U b)</td></tr>
-<tr class="memdesc:ga4086269afabcb81dd7ded33cb3448653"><td class="mdescLeft">&#160;</td><td class="mdescRight">Maximum comparison between 2 variables and returns 2 associated variable values.  <a href="a00308.html#ga4086269afabcb81dd7ded33cb3448653">More...</a><br /></td></tr>
-<tr class="separator:ga4086269afabcb81dd7ded33cb3448653"><td class="memSeparator" colspan="2">&#160;</td></tr>
-<tr class="memitem:gaec891e363d91abbf3a4443cf2f652209"><td class="memTemplParams" colspan="2">template&lt;typename T , typename U &gt; </td></tr>
-<tr class="memitem:gaec891e363d91abbf3a4443cf2f652209"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL U&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00308.html#gaec891e363d91abbf3a4443cf2f652209">associatedMax</a> (T x, U a, T y, U b, T z, U c)</td></tr>
-<tr class="memdesc:gaec891e363d91abbf3a4443cf2f652209"><td class="mdescLeft">&#160;</td><td class="mdescRight">Maximum comparison between 3 variables and returns 3 associated variable values.  <a href="a00308.html#gaec891e363d91abbf3a4443cf2f652209">More...</a><br /></td></tr>
-<tr class="separator:gaec891e363d91abbf3a4443cf2f652209"><td class="memSeparator" colspan="2">&#160;</td></tr>
-<tr class="memitem:gab84fdc35016a31e8cd0cbb8296bddf7c"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , typename U , qualifier Q&gt; </td></tr>
-<tr class="memitem:gab84fdc35016a31e8cd0cbb8296bddf7c"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, U, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00308.html#gab84fdc35016a31e8cd0cbb8296bddf7c">associatedMax</a> (vec&lt; L, T, Q &gt; const &amp;x, vec&lt; L, U, Q &gt; const &amp;a, vec&lt; L, T, Q &gt; const &amp;y, vec&lt; L, U, Q &gt; const &amp;b, vec&lt; L, T, Q &gt; const &amp;z, vec&lt; L, U, Q &gt; const &amp;c)</td></tr>
-<tr class="memdesc:gab84fdc35016a31e8cd0cbb8296bddf7c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Maximum comparison between 3 variables and returns 3 associated variable values.  <a href="a00308.html#gab84fdc35016a31e8cd0cbb8296bddf7c">More...</a><br /></td></tr>
-<tr class="separator:gab84fdc35016a31e8cd0cbb8296bddf7c"><td class="memSeparator" colspan="2">&#160;</td></tr>
-<tr class="memitem:gadd2a2002f4f2144bbc39eb2336dd2fba"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , typename U , qualifier Q&gt; </td></tr>
-<tr class="memitem:gadd2a2002f4f2144bbc39eb2336dd2fba"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00308.html#gadd2a2002f4f2144bbc39eb2336dd2fba">associatedMax</a> (T x, vec&lt; L, U, Q &gt; const &amp;a, T y, vec&lt; L, U, Q &gt; const &amp;b, T z, vec&lt; L, U, Q &gt; const &amp;c)</td></tr>
-<tr class="memdesc:gadd2a2002f4f2144bbc39eb2336dd2fba"><td class="mdescLeft">&#160;</td><td class="mdescRight">Maximum comparison between 3 variables and returns 3 associated variable values.  <a href="a00308.html#gadd2a2002f4f2144bbc39eb2336dd2fba">More...</a><br /></td></tr>
-<tr class="separator:gadd2a2002f4f2144bbc39eb2336dd2fba"><td class="memSeparator" colspan="2">&#160;</td></tr>
-<tr class="memitem:ga19f59d1141a51a3b2108a9807af78f7f"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , typename U , qualifier Q&gt; </td></tr>
-<tr class="memitem:ga19f59d1141a51a3b2108a9807af78f7f"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, U, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00308.html#ga19f59d1141a51a3b2108a9807af78f7f">associatedMax</a> (vec&lt; L, T, Q &gt; const &amp;x, U a, vec&lt; L, T, Q &gt; const &amp;y, U b, vec&lt; L, T, Q &gt; const &amp;z, U c)</td></tr>
-<tr class="memdesc:ga19f59d1141a51a3b2108a9807af78f7f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Maximum comparison between 3 variables and returns 3 associated variable values.  <a href="a00308.html#ga19f59d1141a51a3b2108a9807af78f7f">More...</a><br /></td></tr>
-<tr class="separator:ga19f59d1141a51a3b2108a9807af78f7f"><td class="memSeparator" colspan="2">&#160;</td></tr>
-<tr class="memitem:ga3038ffcb43eaa6af75897a99a5047ccc"><td class="memTemplParams" colspan="2">template&lt;typename T , typename U &gt; </td></tr>
-<tr class="memitem:ga3038ffcb43eaa6af75897a99a5047ccc"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL U&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00308.html#ga3038ffcb43eaa6af75897a99a5047ccc">associatedMax</a> (T x, U a, T y, U b, T z, U c, T w, U d)</td></tr>
-<tr class="memdesc:ga3038ffcb43eaa6af75897a99a5047ccc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Maximum comparison between 4 variables and returns 4 associated variable values.  <a href="a00308.html#ga3038ffcb43eaa6af75897a99a5047ccc">More...</a><br /></td></tr>
-<tr class="separator:ga3038ffcb43eaa6af75897a99a5047ccc"><td class="memSeparator" colspan="2">&#160;</td></tr>
-<tr class="memitem:gaf5ab0c428f8d1cd9e3b45fcfbf6423a6"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , typename U , qualifier Q&gt; </td></tr>
-<tr class="memitem:gaf5ab0c428f8d1cd9e3b45fcfbf6423a6"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, U, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00308.html#gaf5ab0c428f8d1cd9e3b45fcfbf6423a6">associatedMax</a> (vec&lt; L, T, Q &gt; const &amp;x, vec&lt; L, U, Q &gt; const &amp;a, vec&lt; L, T, Q &gt; const &amp;y, vec&lt; L, U, Q &gt; const &amp;b, vec&lt; L, T, Q &gt; const &amp;z, vec&lt; L, U, Q &gt; const &amp;c, vec&lt; L, T, Q &gt; const &amp;w, vec&lt; L, U, Q &gt; const &amp;d)</td></tr>
-<tr class="memdesc:gaf5ab0c428f8d1cd9e3b45fcfbf6423a6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Maximum comparison between 4 variables and returns 4 associated variable values.  <a href="a00308.html#gaf5ab0c428f8d1cd9e3b45fcfbf6423a6">More...</a><br /></td></tr>
-<tr class="separator:gaf5ab0c428f8d1cd9e3b45fcfbf6423a6"><td class="memSeparator" colspan="2">&#160;</td></tr>
-<tr class="memitem:ga11477c2c4b5b0bfd1b72b29df3725a9d"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , typename U , qualifier Q&gt; </td></tr>
-<tr class="memitem:ga11477c2c4b5b0bfd1b72b29df3725a9d"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, U, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00308.html#ga11477c2c4b5b0bfd1b72b29df3725a9d">associatedMax</a> (T x, vec&lt; L, U, Q &gt; const &amp;a, T y, vec&lt; L, U, Q &gt; const &amp;b, T z, vec&lt; L, U, Q &gt; const &amp;c, T w, vec&lt; L, U, Q &gt; const &amp;d)</td></tr>
-<tr class="memdesc:ga11477c2c4b5b0bfd1b72b29df3725a9d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Maximum comparison between 4 variables and returns 4 associated variable values.  <a href="a00308.html#ga11477c2c4b5b0bfd1b72b29df3725a9d">More...</a><br /></td></tr>
-<tr class="separator:ga11477c2c4b5b0bfd1b72b29df3725a9d"><td class="memSeparator" colspan="2">&#160;</td></tr>
-<tr class="memitem:gab9c3dd74cac899d2c625b5767ea3b3fb"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , typename U , qualifier Q&gt; </td></tr>
-<tr class="memitem:gab9c3dd74cac899d2c625b5767ea3b3fb"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, U, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00308.html#gab9c3dd74cac899d2c625b5767ea3b3fb">associatedMax</a> (vec&lt; L, T, Q &gt; const &amp;x, U a, vec&lt; L, T, Q &gt; const &amp;y, U b, vec&lt; L, T, Q &gt; const &amp;z, U c, vec&lt; L, T, Q &gt; const &amp;w, U d)</td></tr>
-<tr class="memdesc:gab9c3dd74cac899d2c625b5767ea3b3fb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Maximum comparison between 4 variables and returns 4 associated variable values.  <a href="a00308.html#gab9c3dd74cac899d2c625b5767ea3b3fb">More...</a><br /></td></tr>
-<tr class="separator:gab9c3dd74cac899d2c625b5767ea3b3fb"><td class="memSeparator" colspan="2">&#160;</td></tr>
-<tr class="memitem:gacc01bd272359572fc28437ae214a02df"><td class="memTemplParams" colspan="2">template&lt;typename T , typename U , qualifier Q&gt; </td></tr>
-<tr class="memitem:gacc01bd272359572fc28437ae214a02df"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL U&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00308.html#gacc01bd272359572fc28437ae214a02df">associatedMin</a> (T x, U a, T y, U b)</td></tr>
-<tr class="memdesc:gacc01bd272359572fc28437ae214a02df"><td class="mdescLeft">&#160;</td><td class="mdescRight">Minimum comparison between 2 variables and returns 2 associated variable values.  <a href="a00308.html#gacc01bd272359572fc28437ae214a02df">More...</a><br /></td></tr>
-<tr class="separator:gacc01bd272359572fc28437ae214a02df"><td class="memSeparator" colspan="2">&#160;</td></tr>
-<tr class="memitem:gac2f0dff90948f2e44386a5eafd941d1c"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , typename U , qualifier Q&gt; </td></tr>
-<tr class="memitem:gac2f0dff90948f2e44386a5eafd941d1c"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; 2, U, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00308.html#gac2f0dff90948f2e44386a5eafd941d1c">associatedMin</a> (vec&lt; L, T, Q &gt; const &amp;x, vec&lt; L, U, Q &gt; const &amp;a, vec&lt; L, T, Q &gt; const &amp;y, vec&lt; L, U, Q &gt; const &amp;b)</td></tr>
-<tr class="memdesc:gac2f0dff90948f2e44386a5eafd941d1c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Minimum comparison between 2 variables and returns 2 associated variable values.  <a href="a00308.html#gac2f0dff90948f2e44386a5eafd941d1c">More...</a><br /></td></tr>
-<tr class="separator:gac2f0dff90948f2e44386a5eafd941d1c"><td class="memSeparator" colspan="2">&#160;</td></tr>
-<tr class="memitem:gacfec519c820331d023ef53a511749319"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , typename U , qualifier Q&gt; </td></tr>
-<tr class="memitem:gacfec519c820331d023ef53a511749319"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, U, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00308.html#gacfec519c820331d023ef53a511749319">associatedMin</a> (T x, const vec&lt; L, U, Q &gt; &amp;a, T y, const vec&lt; L, U, Q &gt; &amp;b)</td></tr>
-<tr class="memdesc:gacfec519c820331d023ef53a511749319"><td class="mdescLeft">&#160;</td><td class="mdescRight">Minimum comparison between 2 variables and returns 2 associated variable values.  <a href="a00308.html#gacfec519c820331d023ef53a511749319">More...</a><br /></td></tr>
-<tr class="separator:gacfec519c820331d023ef53a511749319"><td class="memSeparator" colspan="2">&#160;</td></tr>
-<tr class="memitem:ga4757c7cab2d809124a8525d0a9deeb37"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , typename U , qualifier Q&gt; </td></tr>
-<tr class="memitem:ga4757c7cab2d809124a8525d0a9deeb37"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, U, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00308.html#ga4757c7cab2d809124a8525d0a9deeb37">associatedMin</a> (vec&lt; L, T, Q &gt; const &amp;x, U a, vec&lt; L, T, Q &gt; const &amp;y, U b)</td></tr>
-<tr class="memdesc:ga4757c7cab2d809124a8525d0a9deeb37"><td class="mdescLeft">&#160;</td><td class="mdescRight">Minimum comparison between 2 variables and returns 2 associated variable values.  <a href="a00308.html#ga4757c7cab2d809124a8525d0a9deeb37">More...</a><br /></td></tr>
-<tr class="separator:ga4757c7cab2d809124a8525d0a9deeb37"><td class="memSeparator" colspan="2">&#160;</td></tr>
-<tr class="memitem:gad0aa8f86259a26d839d34a3577a923fc"><td class="memTemplParams" colspan="2">template&lt;typename T , typename U &gt; </td></tr>
-<tr class="memitem:gad0aa8f86259a26d839d34a3577a923fc"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL U&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00308.html#gad0aa8f86259a26d839d34a3577a923fc">associatedMin</a> (T x, U a, T y, U b, T z, U c)</td></tr>
-<tr class="memdesc:gad0aa8f86259a26d839d34a3577a923fc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Minimum comparison between 3 variables and returns 3 associated variable values.  <a href="a00308.html#gad0aa8f86259a26d839d34a3577a923fc">More...</a><br /></td></tr>
-<tr class="separator:gad0aa8f86259a26d839d34a3577a923fc"><td class="memSeparator" colspan="2">&#160;</td></tr>
-<tr class="memitem:ga723e5411cebc7ffbd5c81ffeec61127d"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , typename U , qualifier Q&gt; </td></tr>
-<tr class="memitem:ga723e5411cebc7ffbd5c81ffeec61127d"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, U, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00308.html#ga723e5411cebc7ffbd5c81ffeec61127d">associatedMin</a> (vec&lt; L, T, Q &gt; const &amp;x, vec&lt; L, U, Q &gt; const &amp;a, vec&lt; L, T, Q &gt; const &amp;y, vec&lt; L, U, Q &gt; const &amp;b, vec&lt; L, T, Q &gt; const &amp;z, vec&lt; L, U, Q &gt; const &amp;c)</td></tr>
-<tr class="memdesc:ga723e5411cebc7ffbd5c81ffeec61127d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Minimum comparison between 3 variables and returns 3 associated variable values.  <a href="a00308.html#ga723e5411cebc7ffbd5c81ffeec61127d">More...</a><br /></td></tr>
-<tr class="separator:ga723e5411cebc7ffbd5c81ffeec61127d"><td class="memSeparator" colspan="2">&#160;</td></tr>
-<tr class="memitem:ga432224ebe2085eaa2b63a077ecbbbff6"><td class="memTemplParams" colspan="2">template&lt;typename T , typename U &gt; </td></tr>
-<tr class="memitem:ga432224ebe2085eaa2b63a077ecbbbff6"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL U&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00308.html#ga432224ebe2085eaa2b63a077ecbbbff6">associatedMin</a> (T x, U a, T y, U b, T z, U c, T w, U d)</td></tr>
-<tr class="memdesc:ga432224ebe2085eaa2b63a077ecbbbff6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Minimum comparison between 4 variables and returns 4 associated variable values.  <a href="a00308.html#ga432224ebe2085eaa2b63a077ecbbbff6">More...</a><br /></td></tr>
-<tr class="separator:ga432224ebe2085eaa2b63a077ecbbbff6"><td class="memSeparator" colspan="2">&#160;</td></tr>
-<tr class="memitem:ga66b08118bc88f0494bcacb7cdb940556"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , typename U , qualifier Q&gt; </td></tr>
-<tr class="memitem:ga66b08118bc88f0494bcacb7cdb940556"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, U, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00308.html#ga66b08118bc88f0494bcacb7cdb940556">associatedMin</a> (vec&lt; L, T, Q &gt; const &amp;x, vec&lt; L, U, Q &gt; const &amp;a, vec&lt; L, T, Q &gt; const &amp;y, vec&lt; L, U, Q &gt; const &amp;b, vec&lt; L, T, Q &gt; const &amp;z, vec&lt; L, U, Q &gt; const &amp;c, vec&lt; L, T, Q &gt; const &amp;w, vec&lt; L, U, Q &gt; const &amp;d)</td></tr>
-<tr class="memdesc:ga66b08118bc88f0494bcacb7cdb940556"><td class="mdescLeft">&#160;</td><td class="mdescRight">Minimum comparison between 4 variables and returns 4 associated variable values.  <a href="a00308.html#ga66b08118bc88f0494bcacb7cdb940556">More...</a><br /></td></tr>
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-<tr class="memdesc:ga78c28fde1a7080fb7420bd88e68c6c68"><td class="mdescLeft">&#160;</td><td class="mdescRight">Minimum comparison between 4 variables and returns 4 associated variable values.  <a href="a00308.html#ga78c28fde1a7080fb7420bd88e68c6c68">More...</a><br /></td></tr>
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-<tr class="memitem:ga2db7e351994baee78540a562d4bb6d3b"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , typename U , qualifier Q&gt; </td></tr>
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-<tr class="memdesc:ga2db7e351994baee78540a562d4bb6d3b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Minimum comparison between 4 variables and returns 4 associated variable values.  <a href="a00308.html#ga2db7e351994baee78540a562d4bb6d3b">More...</a><br /></td></tr>
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-<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
-<div class="textblock"><p><a class="el" href="a00308.html">GLM_GTX_associated_min_max</a> </p>
-<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00280.html" title="Features that implement in C++ the GLSL specification as closely as possible. ">Core features</a> (dependence) </dd>
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-gtx_extented_min_max (dependence) </dd></dl>
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-<p>Definition in file <a class="el" href="a00007_source.html">associated_min_max.hpp</a>.</p>
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-<tr class="memitem:ga0dcc8fe7c3d3ad60dea409281efa3d05"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL genIUType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00309.html#ga0dcc8fe7c3d3ad60dea409281efa3d05">highestBitValue</a> (genIUType Value)</td></tr>
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-<tr class="memdesc:ga898ef075ccf809a1e480faab48fe96bf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Find the highest bit set to 1 in a integer variable and return its value.  <a href="a00309.html#ga898ef075ccf809a1e480faab48fe96bf">More...</a><br /></td></tr>
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-<a href="a00008.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;</div>
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submodules/diff-gaussian-rasterization/third_party/glm/doc/api/a00009.html

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-<tr class="memdesc:ga2eb49678a344ce1495bdb5586d9896b9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Rotate all bits to the left.  <a href="a00288.html#ga2eb49678a344ce1495bdb5586d9896b9">More...</a><br /></td></tr>
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-<tr class="separator:gae186317091b1a39214ebf79008d44a1e"><td class="memSeparator" colspan="2">&#160;</td></tr>
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-<tr class="memdesc:ga1c33d075c5fb8bd8dbfd5092bfc851ca"><td class="mdescLeft">&#160;</td><td class="mdescRight">Rotate all bits to the right.  <a href="a00288.html#ga1c33d075c5fb8bd8dbfd5092bfc851ca">More...</a><br /></td></tr>
-<tr class="separator:ga1c33d075c5fb8bd8dbfd5092bfc851ca"><td class="memSeparator" colspan="2">&#160;</td></tr>
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-<tr class="memitem:ga590488e1fc00a6cfe5d3bcaf93fbfe88"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00288.html#ga590488e1fc00a6cfe5d3bcaf93fbfe88">bitfieldRotateRight</a> (vec&lt; L, T, Q &gt; const &amp;In, int Shift)</td></tr>
-<tr class="memdesc:ga590488e1fc00a6cfe5d3bcaf93fbfe88"><td class="mdescLeft">&#160;</td><td class="mdescRight">Rotate all bits to the right.  <a href="a00288.html#ga590488e1fc00a6cfe5d3bcaf93fbfe88">More...</a><br /></td></tr>
-<tr class="separator:ga590488e1fc00a6cfe5d3bcaf93fbfe88"><td class="memSeparator" colspan="2">&#160;</td></tr>
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-<tr class="memdesc:gad7eba518a0b71662114571ee76939f8a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Build a mask of 'count' bits.  <a href="a00288.html#gad7eba518a0b71662114571ee76939f8a">More...</a><br /></td></tr>
-<tr class="separator:gad7eba518a0b71662114571ee76939f8a"><td class="memSeparator" colspan="2">&#160;</td></tr>
-<tr class="memitem:ga2e64e3b922a296033b825311e7f5fff1"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier Q&gt; </td></tr>
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-<tr class="memdesc:ga2e64e3b922a296033b825311e7f5fff1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Build a mask of 'count' bits.  <a href="a00288.html#ga2e64e3b922a296033b825311e7f5fff1">More...</a><br /></td></tr>
-<tr class="separator:ga2e64e3b922a296033b825311e7f5fff1"><td class="memSeparator" colspan="2">&#160;</td></tr>
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-<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
-<div class="textblock"><p><a class="el" href="a00288.html">GLM_GTC_bitfield</a> </p>
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-<a class="el" href="a00288.html" title="Include <glm/gtc/bitfield.hpp> to use the features of this extension. ">GLM_GTC_bitfield</a> (dependence) </dd></dl>
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-<tr class="memdesc:ga36529c278ef716986151d58d151d697d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Find the point on a straight line which is the closet of a point.  <a href="a00310.html#ga36529c278ef716986151d58d151d697d">More...</a><br /></td></tr>
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-Functions</h2></td></tr>
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-<tr class="memdesc:ga42239e7b3da900f7ef37cec7e2476579"><td class="mdescLeft">&#160;</td><td class="mdescRight">Convert a linear color to sRGB color using a standard gamma correction.  <a href="a00289.html#ga42239e7b3da900f7ef37cec7e2476579">More...</a><br /></td></tr>
-<tr class="separator:ga42239e7b3da900f7ef37cec7e2476579"><td class="memSeparator" colspan="2">&#160;</td></tr>
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-<tr class="memdesc:gaace0a21167d13d26116c283009af57f6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Convert a linear color to sRGB color using a custom gamma correction.  <a href="a00289.html#gaace0a21167d13d26116c283009af57f6">More...</a><br /></td></tr>
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-<tr class="memitem:ga16c798b7a226b2c3079dedc55083d187"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier Q&gt; </td></tr>
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-<tr class="memdesc:ga16c798b7a226b2c3079dedc55083d187"><td class="mdescLeft">&#160;</td><td class="mdescRight">Convert a sRGB color to linear color using a standard gamma correction.  <a href="a00289.html#ga16c798b7a226b2c3079dedc55083d187">More...</a><br /></td></tr>
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-template&lt;length_t L, typename T , qualifier Q&gt; </td></tr>
-<tr class="memitem:gad1b91f27a9726c9cb403f9fee6e2e200"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00289.html#gad1b91f27a9726c9cb403f9fee6e2e200">convertSRGBToLinear</a> (vec&lt; L, T, Q &gt; const &amp;ColorSRGB, T Gamma)</td></tr>
-<tr class="memdesc:gad1b91f27a9726c9cb403f9fee6e2e200"><td class="mdescLeft">&#160;</td><td class="mdescRight">Convert a sRGB color to linear color using a custom gamma correction. <br /></td></tr>
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-<a class="el" href="a00289.html" title="Include <glm/gtc/color_space.hpp> to use the features of this extension. ">GLM_GTC_color_space</a> (dependence) </dd></dl>
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