diff --git a/CMakeLists.txt b/CMakeLists.txt
index fe0db73..c74d964 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -184,6 +184,7 @@ set(GUEST_ARTICLES
 	8.guest/2021/4.dsa
 	8.guest/2022/5.computeshader_helloworld
 	8.guest/2022/6.physically_based_bloom
+	8.guest/2022/7.area_lights
 )
 
 configure_file(configuration/root_directory.h.in configuration/root_directory.h)
diff --git a/resources/textures/concreteTexture.jpg b/resources/textures/concreteTexture.jpg
new file mode 100644
index 0000000..217845e
Binary files /dev/null and b/resources/textures/concreteTexture.jpg differ
diff --git a/src/8.guest/2022/7.area_lights/7.area_light.fs b/src/8.guest/2022/7.area_lights/7.area_light.fs
new file mode 100644
index 0000000..0a3e146
--- /dev/null
+++ b/src/8.guest/2022/7.area_lights/7.area_light.fs
@@ -0,0 +1,178 @@
+#version 330 core
+
+out vec4 fragColor;
+
+in vec3 worldPosition;
+in vec3 worldNormal;
+in vec2 texcoord;
+
+struct Light
+{
+    float intensity;
+    vec3 color;
+    vec3 points[4];
+    bool twoSided;
+};
+uniform Light areaLight;
+uniform vec3 areaLightTranslate;
+
+struct Material
+{
+    sampler2D diffuse;
+    vec4 albedoRoughness; // (x,y,z) = color, w = roughness
+};
+uniform Material material;
+
+uniform vec3 viewPosition;
+uniform sampler2D LTC1; // for inverse M
+uniform sampler2D LTC2; // GGX norm, fresnel, 0(unused), sphere
+
+const float LUT_SIZE  = 64.0; // ltc_texture size
+const float LUT_SCALE = (LUT_SIZE - 1.0)/LUT_SIZE;
+const float LUT_BIAS  = 0.5/LUT_SIZE;
+
+
+// Vector form without project to the plane (dot with the normal)
+// Use for proxy sphere clipping
+vec3 IntegrateEdgeVec(vec3 v1, vec3 v2)
+{
+    // Using built-in acos() function will result flaws
+    // Using fitting result for calculating acos()
+    float x = dot(v1, v2);
+    float y = abs(x);
+
+    float a = 0.8543985 + (0.4965155 + 0.0145206*y)*y;
+    float b = 3.4175940 + (4.1616724 + y)*y;
+    float v = a / b;
+
+    float theta_sintheta = (x > 0.0) ? v : 0.5*inversesqrt(max(1.0 - x*x, 1e-7)) - v;
+
+    return cross(v1, v2)*theta_sintheta;
+}
+
+float IntegrateEdge(vec3 v1, vec3 v2)
+{
+    return IntegrateEdgeVec(v1, v2).z;
+}
+
+// P is fragPos in world space (LTC distribution)
+vec3 LTC_Evaluate(vec3 N, vec3 V, vec3 P, mat3 Minv, vec3 points[4], bool twoSided)
+{
+    // construct orthonormal basis around N
+    vec3 T1, T2;
+    T1 = normalize(V - N * dot(V, N));
+    T2 = cross(N, T1);
+
+    // rotate area light in (T1, T2, N) basis
+    Minv = Minv * transpose(mat3(T1, T2, N));
+
+    // polygon (allocate 4 vertices for clipping)
+    vec3 L[4];
+    // transform polygon from LTC back to origin Do (cosine weighted)
+    L[0] = Minv * (points[0] - P);
+    L[1] = Minv * (points[1] - P);
+    L[2] = Minv * (points[2] - P);
+    L[3] = Minv * (points[3] - P);
+
+    // use tabulated horizon-clipped sphere
+    // check if the shading point is behind the light
+    vec3 dir = points[0] - P; // LTC space
+    vec3 lightNormal = cross(points[1] - points[0], points[3] - points[0]);
+    bool behind = (dot(dir, lightNormal) < 0.0);
+
+    // cos weighted space
+    L[0] = normalize(L[0]);
+    L[1] = normalize(L[1]);
+    L[2] = normalize(L[2]);
+    L[3] = normalize(L[3]);
+
+    // integrate
+    vec3 vsum = vec3(0.0);
+    vsum += IntegrateEdgeVec(L[0], L[1]);
+    vsum += IntegrateEdgeVec(L[1], L[2]);
+    vsum += IntegrateEdgeVec(L[2], L[3]);
+    vsum += IntegrateEdgeVec(L[3], L[0]);
+
+    // form factor of the polygon in direction vsum
+    float len = length(vsum);
+
+    float z = vsum.z/len;
+    if (behind)
+        z = -z;
+
+    vec2 uv = vec2(z*0.5f + 0.5f, len); // range [0, 1]
+    uv = uv*LUT_SCALE + LUT_BIAS;
+
+    // Fetch the form factor for horizon clipping
+    float scale = texture(LTC2, uv).w;
+
+    float sum = len*scale;
+    if (!behind && !twoSided)
+        sum = 0.0;
+
+    // Outgoing radiance (solid angle) for the entire polygon
+    vec3 Lo_i = vec3(sum, sum, sum);
+    return Lo_i;
+}
+
+// PBR-maps for roughness (and metallic) are usually stored in non-linear
+// color space (sRGB), so we use these functions to convert into linear RGB.
+vec3 PowVec3(vec3 v, float p)
+{
+    return vec3(pow(v.x, p), pow(v.y, p), pow(v.z, p));
+}
+
+const float gamma = 2.2;
+vec3 ToLinear(vec3 v) { return PowVec3(v, gamma); }
+vec3 ToSRGB(vec3 v)   { return PowVec3(v, 1.0/gamma); }
+
+
+void main()
+{
+    // gamma correction
+    vec3 mDiffuse = texture(material.diffuse, texcoord).xyz;// * vec3(0.7f, 0.8f, 0.96f);
+    vec3 mSpecular = ToLinear(vec3(0.23f, 0.23f, 0.23f)); // mDiffuse
+
+    vec3 result = vec3(0.0f);
+
+    vec3 N = normalize(worldNormal);
+    vec3 V = normalize(viewPosition - worldPosition);
+    vec3 P = worldPosition;
+    float dotNV = clamp(dot(N, V), 0.0f, 1.0f);
+
+    // use roughness and sqrt(1-cos_theta) to sample M_texture
+    vec2 uv = vec2(material.albedoRoughness.w, sqrt(1.0f - dotNV));
+    uv = uv*LUT_SCALE + LUT_BIAS;
+
+    // get 4 parameters for inverse_M
+    vec4 t1 = texture(LTC1, uv);
+
+    // Get 2 parameters for Fresnel calculation
+    vec4 t2 = texture(LTC2, uv);
+
+    mat3 Minv = mat3(
+        vec3(t1.x, 0, t1.y),
+        vec3(  0,  1,    0),
+        vec3(t1.z, 0, t1.w)
+    );
+
+    // translate light source for testing
+    vec3 translatedPoints[4];
+    translatedPoints[0] = areaLight.points[0] + areaLightTranslate;
+    translatedPoints[1] = areaLight.points[1] + areaLightTranslate;
+    translatedPoints[2] = areaLight.points[2] + areaLightTranslate;
+    translatedPoints[3] = areaLight.points[3] + areaLightTranslate;
+
+    // Evaluate LTC shading
+    vec3 diffuse = LTC_Evaluate(N, V, P, mat3(1), translatedPoints, areaLight.twoSided);
+    vec3 specular = LTC_Evaluate(N, V, P, Minv, translatedPoints, areaLight.twoSided);
+
+    // GGX BRDF shadowing and Fresnel
+    // t2.x: shadowedF90 ??? (F90 normally it should be 1.0)
+    // t2.y: Smith function for Geometric Attenuation Term, it is dot(V or L, H).
+    specular *= mSpecular*t2.x + (1.0f - mSpecular) * t2.y;
+
+    result = areaLight.color * areaLight.intensity * (specular + mDiffuse * diffuse);
+
+    fragColor = vec4(ToSRGB(result), 1.0f);
+}
diff --git a/src/8.guest/2022/7.area_lights/7.area_light.vs b/src/8.guest/2022/7.area_lights/7.area_light.vs
new file mode 100644
index 0000000..3c4ceba
--- /dev/null
+++ b/src/8.guest/2022/7.area_lights/7.area_light.vs
@@ -0,0 +1,24 @@
+#version 330 core
+
+layout (location = 0) in vec3 aPosition;
+layout (location = 1) in vec3 aNormal;
+layout (location = 2) in vec2 aTexcoord;
+
+uniform mat4 model;
+uniform mat3 normalMatrix;
+uniform mat4 view;
+uniform mat4 projection;
+
+out vec3 worldPosition;
+out vec3 worldNormal;
+out vec2 texcoord;
+
+void main()
+{
+	vec4 worldpos = model * vec4(aPosition, 1.0f);
+	worldPosition = worldpos.xyz;
+	worldNormal = normalMatrix * aNormal;
+	texcoord = aTexcoord;
+
+	gl_Position = projection * view * worldpos;
+}
diff --git a/src/8.guest/2022/7.area_lights/area_lights.cpp b/src/8.guest/2022/7.area_lights/area_lights.cpp
new file mode 100644
index 0000000..43b745d
--- /dev/null
+++ b/src/8.guest/2022/7.area_lights/area_lights.cpp
@@ -0,0 +1,666 @@
+// GLAD, GLFW, STB-IMAGE
+#include <glad/glad.h>
+#include <GLFW/glfw3.h>
+#include <stb_image.h>
+
+// GLM
+#include <glm/glm.hpp>
+#include <glm/gtc/matrix_transform.hpp>
+#include <glm/gtc/type_ptr.hpp>
+
+// LEARNOPENGL
+#include <learnopengl/filesystem.h>
+#include <learnopengl/shader.h>
+#include <learnopengl/camera.h>
+#include <learnopengl/model.h>
+
+// STANDARD
+#include <iostream>
+#include <vector>
+
+// CUSTOM
+#include "ltc_matrix.hpp"
+
+// FUNCTION PROTOTYPES
+void framebuffer_size_callback(GLFWwindow* window, int width, int height);
+void key_callback(GLFWwindow* window, int key, int scancode, int action, int mode);
+void mouse_callback(GLFWwindow* window, double xpos, double ypos);
+void scroll_callback(GLFWwindow* window, double xoffset, double yoffset);
+void processInput(GLFWwindow *window);
+unsigned int loadTexture(const char *path, bool gammaCorrection);
+void renderQuad();
+void renderCube();
+
+// settings
+const unsigned int SCR_WIDTH = 800;
+const unsigned int SCR_HEIGHT = 600;
+bool bloom = true;
+float exposure = 1.0f;
+int programChoice = 1;
+float bloomFilterRadius = 0.005f;
+
+// camera
+Camera camera(glm::vec3(0.0f, 0.0f, 5.0f));
+float lastX = (float)SCR_WIDTH / 2.0;
+float lastY = (float)SCR_HEIGHT / 2.0;
+bool firstMouse = true;
+
+// timing
+float deltaTime = 0.0f;
+float lastFrame = 0.0f;
+
+
+
+//
+// 2---3-5
+// |  / /|
+// | / / |
+// |/ /  |
+// 1-4---6
+//
+struct Vertex {
+	glm::vec3 position;
+	glm::vec3 normal;
+	glm::vec2 texcoord;
+};
+
+const GLfloat size = 10.0f;
+Vertex planeVertices[6] = {
+	{ {-size, 0.0f, -size}, {0.0f, 1.0f, 0.0f}, {0.0f, 0.0f} },
+	{ {-size, 0.0f,  size}, {0.0f, 1.0f, 0.0f}, {0.0f, 1.0f} },
+	{ { size, 0.0f,  size}, {0.0f, 1.0f, 0.0f}, {1.0f, 1.0f} },
+	{ {-size, 0.0f, -size}, {0.0f, 1.0f, 0.0f}, {0.0f, 0.0f} },
+	{ { size, 0.0f,  size}, {0.0f, 1.0f, 0.0f}, {1.0f, 1.0f} },
+	{ { size, 0.0f, -size}, {0.0f, 1.0f, 0.0f}, {1.0f, 0.0f} }
+};
+Vertex areaLightVertices[6] = {
+	{ {-8.0f, 2.4f, -1.0f}, {1.0f, 0.0f, 0.0f}, {0.0f, 0.0f} }, // 0 1 5 4
+	{ {-8.0f, 2.4f,  1.0f}, {1.0f, 0.0f, 0.0f}, {0.0f, 1.0f} },
+	{ {-8.0f, 0.4f,  1.0f}, {1.0f, 0.0f, 0.0f}, {1.0f, 1.0f} },
+	{ {-8.0f, 2.4f, -1.0f}, {1.0f, 0.0f, 0.0f}, {0.0f, 0.0f} },
+	{ {-8.0f, 0.4f,  1.0f}, {1.0f, 0.0f, 0.0f}, {1.0f, 1.0f} },
+	{ {-8.0f, 0.4f, -1.0f}, {1.0f, 0.0f, 0.0f}, {1.0f, 0.0f} }
+};
+
+GLuint planeVBO, planeVAO;
+GLuint areaLightVBO, areaLightVAO;
+
+void configureMockupData()
+{
+    // PLANE
+    glGenVertexArrays(1, &planeVAO);
+    glGenBuffers(1, &planeVBO);
+
+    glBindVertexArray(planeVAO);
+    glBindBuffer(GL_ARRAY_BUFFER, planeVBO);
+    glBufferData(GL_ARRAY_BUFFER, sizeof(planeVertices), planeVertices, GL_STATIC_DRAW);
+
+    // position
+    glVertexAttribPointer(0, 3, GL_FLOAT, GL_FALSE, 8 * sizeof(GLfloat),
+                          (GLvoid*)0);
+    glEnableVertexAttribArray(0);
+
+    // normal
+    glVertexAttribPointer(1, 3, GL_FLOAT, GL_FALSE, 8 * sizeof(GLfloat),
+                          (GLvoid*)(3 * sizeof(GLfloat)));
+    glEnableVertexAttribArray(1);
+
+    // texcoord
+    glVertexAttribPointer(2, 2, GL_FLOAT, GL_FALSE, 8 * sizeof(GLfloat),
+                          (GLvoid*)(6 * sizeof(GLfloat)));
+    glEnableVertexAttribArray(2);
+    glBindVertexArray(0);
+
+    // AREA LIGHT
+    glGenVertexArrays(1, &areaLightVAO);
+    glBindVertexArray(areaLightVAO);
+
+    glGenBuffers(1, &areaLightVBO);
+    glBindBuffer(GL_ARRAY_BUFFER, areaLightVBO);
+    glBufferData(GL_ARRAY_BUFFER, sizeof(areaLightVertices), areaLightVertices, GL_STATIC_DRAW);
+
+    // position
+    glVertexAttribPointer(0, 3, GL_FLOAT, GL_FALSE, 8 * sizeof(GLfloat),
+                          (GLvoid*)0);
+    glEnableVertexAttribArray(0);
+
+    // normal
+    glVertexAttribPointer(1, 3, GL_FLOAT, GL_FALSE, 8 * sizeof(GLfloat),
+                          (GLvoid*)(3 * sizeof(GLfloat)));
+    glEnableVertexAttribArray(1);
+
+    // texcoord
+    glVertexAttribPointer(2, 2, GL_FLOAT, GL_FALSE, 8 * sizeof(GLfloat),
+                          (GLvoid*)(6 * sizeof(GLfloat)));
+    glEnableVertexAttribArray(2);
+    glBindVertexArray(0);
+
+    glBindVertexArray(0);
+}
+
+void renderPlane()
+{
+	glBindVertexArray(planeVAO);
+	glDrawArrays(GL_TRIANGLES, 0, 6);
+	glBindVertexArray(0);
+}
+
+void renderAreaLight()
+{
+	glBindVertexArray(areaLightVAO);
+	glDrawArrays(GL_TRIANGLES, 0, 6);
+	glBindVertexArray(0);
+}
+
+
+
+struct LTC_matrices {
+	GLuint mat1;
+	GLuint mat2;
+};
+
+GLuint loadMTexture()
+{
+	GLuint texture = 0;
+	glGenTextures(1, &texture);
+	glBindTexture(GL_TEXTURE_2D, texture);
+
+	glTexImage2D(GL_TEXTURE_2D, 0, GL_RGBA, 64, 64,
+	             0, GL_RGBA, GL_FLOAT, LTC1);
+
+	glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_WRAP_S, GL_CLAMP_TO_EDGE);
+	glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_WRAP_T, GL_CLAMP_TO_EDGE);
+	glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_MIN_FILTER, GL_NEAREST);
+	glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_MAG_FILTER, GL_LINEAR);
+
+	glBindTexture(GL_TEXTURE_2D, 0);
+	return texture;
+}
+
+GLuint loadLUTTexture()
+{
+	GLuint texture = 0;
+	glGenTextures(1, &texture);
+	glBindTexture(GL_TEXTURE_2D, texture);
+
+	glTexImage2D(GL_TEXTURE_2D, 0, GL_RGBA, 64, 64,
+	             0, GL_RGBA, GL_FLOAT, LTC2);
+
+	glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_WRAP_S, GL_CLAMP_TO_EDGE);
+	glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_WRAP_T, GL_CLAMP_TO_EDGE);
+	glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_MIN_FILTER, GL_NEAREST);
+	glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_MAG_FILTER, GL_LINEAR);
+
+	glBindTexture(GL_TEXTURE_2D, 0);
+	return texture;
+}
+
+
+
+void incrementRoughness(float step)
+{
+	static glm::vec3 color = Color::SlateGray;
+	static float roughness = 0.5f;
+	roughness += step;
+	roughness = glm::clamp(roughness, 0.0f, 1.0f);
+	//std::cout << "roughness: " << roughness << '\n';
+	lightingShader->Activate();
+	lightingShader->SetUniformVec4("material.albedoRoughness", glm::vec4(color, roughness));
+	lightingShader->Deactivate();
+}
+
+void incrementLightIntensity(float step)
+{
+	static float intensity = 4.0f;
+	intensity += step;
+	intensity = glm::clamp(intensity, 0.0f, 10.0f);
+	//std::cout << "intensity: " << intensity << '\n';
+	lightingShader->Activate();
+	lightingShader->SetUniformFloat("areaLight.intensity", intensity);
+	lightingShader->Deactivate();
+}
+
+void switchTwoSided(bool doSwitch)
+{
+	static bool twoSided = true;
+	if (doSwitch) twoSided = !twoSided;
+	//std::cout << "twoSided: " << std::boolalpha << twoSided << '\n';
+	lightingShader->Activate();
+	lightingShader->SetUniformBool("areaLight.twoSided", twoSided);
+	lightingShader->Deactivate();
+}
+
+
+
+int main()
+{
+    // glfw: initialize and configure
+    // ------------------------------
+    glfwInit();
+    glfwWindowHint(GLFW_CONTEXT_VERSION_MAJOR, 3);
+    glfwWindowHint(GLFW_CONTEXT_VERSION_MINOR, 3);
+    glfwWindowHint(GLFW_OPENGL_PROFILE, GLFW_OPENGL_CORE_PROFILE);
+
+#ifdef __APPLE__
+    glfwWindowHint(GLFW_OPENGL_FORWARD_COMPAT, GL_TRUE);
+#endif
+
+    // glfw window creation
+    // --------------------
+    GLFWwindow* window = glfwCreateWindow(
+	    SCR_WIDTH, SCR_HEIGHT, "LearnOpenGL: Area Lights", NULL, NULL);
+    if (window == NULL)
+    {
+        std::cout << "Failed to create GLFW window" << std::endl;
+        glfwTerminate();
+        return -1;
+    }
+    glfwMakeContextCurrent(window);
+    glfwSetFramebufferSizeCallback(window, framebuffer_size_callback);
+    glfwSetCursorPosCallback(window, mouse_callback);
+    glfwSetScrollCallback(window, scroll_callback);
+    glfwSetKeyCallback(window, key_callback);
+
+    // tell GLFW to capture our mouse
+    glfwSetInputMode(window, GLFW_CURSOR, GLFW_CURSOR_DISABLED);
+
+    // glad: load all OpenGL function pointers
+    // ---------------------------------------
+    if (!gladLoadGLLoader((GLADloadproc)glfwGetProcAddress))
+    {
+        std::cout << "Failed to initialize GLAD" << std::endl;
+        return -1;
+    }
+
+    // configure global opengl state
+    // -----------------------------
+    glEnable(GL_DEPTH_TEST);
+
+    // build and compile shaders
+    // -------------------------
+    Shader shaderLTC("7.area_light.vs", "7.area_light.fs");
+    // Shader shaderLight("6.bloom.vs", "6.light_box.fs");
+    // Shader shaderBlur("6.old_blur.vs", "6.old_blur.fs");
+    // Shader shaderBloomFinal("6.bloom_final.vs", "6.bloom_final.fs");
+
+    // load textures
+    // -------------
+    unsigned int concreteTexture = loadTexture(FileSystem::getPath("resources/textures/concreteTexture.jpg").c_str(), true);
+
+    // shader configuration
+    // --------------------
+    shaderLTC.use();
+    shaderLTC.setVec3("areaLight.points[0]", areaLightVertices[0].position);
+    shaderLTC.setVec3("areaLight.points[1]", areaLightVertices[1].position);
+	shaderLTC.setVec3("areaLight.points[2]", areaLightVertices[4].position);
+	shaderLTC.setVec3("areaLight.points[3]", areaLightVertices[5].position);
+	shaderLTC.setVec3("areaLight.color", Color::White);
+	shaderLTC.setInt("LTC1", 0);
+	shaderLTC.setInt("LTC2", 1);
+	shaderLTC.setInt("material.diffuse", 2);
+	incrementRoughness(0.0f);
+	incrementLightIntensity(0.0f);
+	switchTwoSided(false);
+	glUseProgram(0);
+
+
+    // shader.setInt("diffuseTexture", 0);
+    // shaderBlur.use();
+    // shaderBlur.setInt("image", 0);
+    // shaderBloomFinal.use();
+    // shaderBloomFinal.setInt("scene", 0);
+    // shaderBloomFinal.setInt("bloomBlur", 1);
+
+    // render loop
+    // -----------
+    while (!glfwWindowShouldClose(window))
+    {
+        // per-frame time logic
+        // --------------------
+        float currentFrame = static_cast<float>(glfwGetTime());
+        deltaTime = currentFrame - lastFrame;
+        lastFrame = currentFrame;
+
+        // input
+        // -----
+        processInput(window);
+
+        // render
+        // ------
+        glClearColor(0.0f, 0.0f, 0.0f, 1.0f);
+        glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
+
+        // 1. render scene into floating point framebuffer
+        // -----------------------------------------------
+        glBindFramebuffer(GL_FRAMEBUFFER, hdrFBO);
+        glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
+        glm::mat4 projection = glm::perspective(glm::radians(camera.Zoom), (float)SCR_WIDTH / (float)SCR_HEIGHT, 0.1f, 100.0f);
+        glm::mat4 view = camera.GetViewMatrix();
+        glm::mat4 model = glm::mat4(1.0f);
+        shader.use();
+        shader.setMat4("projection", projection);
+        shader.setMat4("view", view);
+        glActiveTexture(GL_TEXTURE0);
+        glBindTexture(GL_TEXTURE_2D, woodTexture);
+        // set lighting uniforms
+        for (unsigned int i = 0; i < lightPositions.size(); i++)
+        {
+            shader.setVec3("lights[" + std::to_string(i) + "].Position", lightPositions[i]);
+            shader.setVec3("lights[" + std::to_string(i) + "].Color", lightColors[i]);
+        }
+        shader.setVec3("viewPos", camera.Position);
+        // create one large cube that acts as the floor
+        model = glm::mat4(1.0f);
+        model = glm::translate(model, glm::vec3(0.0f, -1.0f, 0.0));
+        model = glm::scale(model, glm::vec3(12.5f, 0.5f, 12.5f));
+        shader.setMat4("model", model);
+        renderCube();
+        // then create multiple cubes as the scenery
+        glBindTexture(GL_TEXTURE_2D, containerTexture);
+        model = glm::mat4(1.0f);
+        model = glm::translate(model, glm::vec3(0.0f, 1.5f, 0.0));
+        model = glm::scale(model, glm::vec3(0.5f));
+        shader.setMat4("model", model);
+        renderCube();
+
+        model = glm::mat4(1.0f);
+        model = glm::translate(model, glm::vec3(2.0f, 0.0f, 1.0));
+        model = glm::scale(model, glm::vec3(0.5f));
+        shader.setMat4("model", model);
+        renderCube();
+
+        model = glm::mat4(1.0f);
+        model = glm::translate(model, glm::vec3(-1.0f, -1.0f, 2.0));
+        model = glm::rotate(model, glm::radians(60.0f), glm::normalize(glm::vec3(1.0, 0.0, 1.0)));
+        shader.setMat4("model", model);
+        renderCube();
+
+        model = glm::mat4(1.0f);
+        model = glm::translate(model, glm::vec3(0.0f, 2.7f, 4.0));
+        model = glm::rotate(model, glm::radians(23.0f), glm::normalize(glm::vec3(1.0, 0.0, 1.0)));
+        model = glm::scale(model, glm::vec3(1.25));
+        shader.setMat4("model", model);
+        renderCube();
+
+        model = glm::mat4(1.0f);
+        model = glm::translate(model, glm::vec3(-2.0f, 1.0f, -3.0));
+        model = glm::rotate(model, glm::radians(124.0f), glm::normalize(glm::vec3(1.0, 0.0, 1.0)));
+        shader.setMat4("model", model);
+        renderCube();
+
+        model = glm::mat4(1.0f);
+        model = glm::translate(model, glm::vec3(-3.0f, 0.0f, 0.0));
+        model = glm::scale(model, glm::vec3(0.5f));
+        shader.setMat4("model", model);
+        renderCube();
+
+        // finally show all the light sources as bright cubes
+        shaderLight.use();
+        shaderLight.setMat4("projection", projection);
+        shaderLight.setMat4("view", view);
+
+        for (unsigned int i = 0; i < lightPositions.size(); i++)
+        {
+            model = glm::mat4(1.0f);
+            model = glm::translate(model, glm::vec3(lightPositions[i]));
+            model = glm::scale(model, glm::vec3(0.25f));
+            shaderLight.setMat4("model", model);
+            shaderLight.setVec3("lightColor", lightColors[i]);
+            renderCube();
+        }
+        glBindFramebuffer(GL_FRAMEBUFFER, 0);
+
+        if (programChoice < 1 || programChoice > 3) { programChoice = 1; }
+        bloom = (programChoice == 1) ? false : true;
+        bool horizontal = true;
+
+        // 2.A) bloom is disabled
+        // ----------------------
+        if (programChoice == 1)
+        {
+
+        }
+
+        // 2.B) blur bright fragments with two-pass Gaussian Blur
+        // ------------------------------------------------------
+        else if (programChoice == 2)
+        {
+	        bool first_iteration = true;
+	        unsigned int amount = 10;
+	        shaderBlur.use();
+	        for (unsigned int i = 0; i < amount; i++)
+	        {
+		        glBindFramebuffer(GL_FRAMEBUFFER, pingpongFBO[horizontal]);
+		        shaderBlur.setInt("horizontal", horizontal);
+		        glBindTexture(GL_TEXTURE_2D, first_iteration ? colorBuffers[1] : pingpongColorbuffers[!horizontal]);  // bind texture of other framebuffer (or scene if first iteration)
+		        renderQuad();
+		        horizontal = !horizontal;
+		        if (first_iteration)
+			        first_iteration = false;
+	        }
+	        glBindFramebuffer(GL_FRAMEBUFFER, 0);
+        }
+
+        // 2.C) use unthresholded bloom with progressive downsample/upsampling
+        // -------------------------------------------------------------------
+        else if (programChoice == 3)
+        {
+	        bloomRenderer.RenderBloomTexture(colorBuffers[1], bloomFilterRadius);
+        }
+
+        // 3. now render floating point color buffer to 2D quad and tonemap HDR colors to default framebuffer's (clamped) color range
+        // --------------------------------------------------------------------------------------------------------------------------
+        glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
+        shaderBloomFinal.use();
+        glActiveTexture(GL_TEXTURE0);
+        glBindTexture(GL_TEXTURE_2D, colorBuffers[0]);
+        glActiveTexture(GL_TEXTURE1);
+        if (programChoice == 1) {
+	        glBindTexture(GL_TEXTURE_2D, 0); // trick to bind invalid texture "0", we don't care either way!
+        }
+        if (programChoice == 2) {
+	        glBindTexture(GL_TEXTURE_2D, pingpongColorbuffers[!horizontal]);
+        }
+        else if (programChoice == 3) {
+	        glBindTexture(GL_TEXTURE_2D, bloomRenderer.BloomTexture());
+        }
+        shaderBloomFinal.setInt("programChoice", programChoice);
+        shaderBloomFinal.setFloat("exposure", exposure);
+        renderQuad();
+
+        //std::cout << "bloom: " << (bloom ? "on" : "off") << "| exposure: " << exposure << std::endl;
+
+        // glfw: swap buffers and poll IO events (keys pressed/released, mouse moved etc.)
+        // -------------------------------------------------------------------------------
+        glfwSwapBuffers(window);
+        glfwPollEvents();
+    }
+
+    bloomRenderer.Destroy();
+    glfwTerminate();
+    return 0;
+}
+
+
+
+// process all input: query GLFW whether relevant keys are pressed/released this frame and react accordingly
+// ---------------------------------------------------------------------------------------------------------
+void do_movement(GLfloat deltaTime)
+{
+    GLfloat cameraSpeed = 10.0f * deltaTime;
+
+    if(keys[GLFW_KEY_W]) {
+        cam->MoveForwards(cameraSpeed);
+    }
+    else if(keys[GLFW_KEY_S]) {
+        cam->MoveBackwards(cameraSpeed);
+    }
+    if(keys[GLFW_KEY_A]) {
+        cam->StrafeLeft(cameraSpeed);
+    }
+    else if(keys[GLFW_KEY_D]) {
+        cam->StrafeRight(cameraSpeed);
+    }
+
+    if (keys[GLFW_KEY_Z]) {
+	    if (keys[GLFW_KEY_LEFT_SHIFT]) cam->MoveDown(cameraSpeed);
+	    else cam->MoveUp(cameraSpeed);
+    }
+
+    if (keys[GLFW_KEY_R]) {
+	    if (keys[GLFW_KEY_LEFT_SHIFT]) incrementRoughness(0.01f);
+	    else incrementRoughness(-0.01f);
+    }
+
+    if (keys[GLFW_KEY_I]) {
+	    if (keys[GLFW_KEY_LEFT_SHIFT]) incrementLightIntensity(0.025f);
+	    else incrementLightIntensity(-0.025f);
+    }
+
+    if (keys[GLFW_KEY_LEFT]) {
+	    areaLightTranslate.z += 0.01f;
+    }
+    if (keys[GLFW_KEY_RIGHT]) {
+	    areaLightTranslate.z -= 0.01f;
+    }
+    if (keys[GLFW_KEY_UP]) {
+	    areaLightTranslate.y += 0.01f;
+    }
+    if (keys[GLFW_KEY_DOWN]) {
+	    areaLightTranslate.y -= 0.01f;
+    }
+}
+
+void key_callback(GLFWwindow* window, int key, int scancode, int action, int mode)
+{
+    static unsigned short wireframe = 0;
+
+    if(action == GLFW_PRESS)
+    {
+        switch(key)
+        {
+        case GLFW_KEY_ESCAPE:
+            glfwSetWindowShouldClose(window, GL_TRUE);
+            return;
+        case GLFW_KEY_L:
+            screen_lock = !screen_lock;
+            break;
+        case GLFW_KEY_C:
+	        lightingShader = new Shaders::ShaderWrapper(shadername, Shaders::SHADERS_VF);
+	        recompileShader = true;
+	        break;
+        case GLFW_KEY_B:
+	        switchTwoSided(true);
+	        break;
+        default:
+            keys[key] = true;
+            break;
+        }
+    }
+
+    if(action == GLFW_RELEASE)
+    {
+        if(key == GLFW_KEY_SPACE) {
+            switch(wireframe)
+            {
+            case 0:
+                glPolygonMode(GL_FRONT_AND_BACK, GL_LINE);
+                wireframe = 1;
+                break;
+            default:
+                glPolygonMode(GL_FRONT_AND_BACK, GL_FILL);
+                wireframe = 0;
+                break;
+            }
+        }
+        else {
+            keys[key] = false;
+        }
+    }
+}
+
+// glfw: whenever the window size changed (by OS or user resize) this callback function executes
+// ---------------------------------------------------------------------------------------------
+void framebuffer_size_callback(GLFWwindow* window, int width, int height)
+{
+    // make sure the viewport matches the new window dimensions; note that width and
+    // height will be significantly larger than specified on retina displays.
+    glViewport(0, 0, width, height);
+}
+
+// glfw: whenever the mouse moves, this callback is called
+// -------------------------------------------------------
+void mouse_callback(GLFWwindow* window, double xposIn, double yposIn)
+{
+    float xpos = static_cast<float>(xposIn);
+    float ypos = static_cast<float>(yposIn);
+    if (firstMouse)
+    {
+        lastX = xpos;
+        lastY = ypos;
+        firstMouse = false;
+    }
+
+    float xoffset = xpos - lastX;
+    float yoffset = lastY - ypos; // reversed since y-coordinates go from bottom to top
+
+    lastX = xpos;
+    lastY = ypos;
+
+    camera.ProcessMouseMovement(xoffset, yoffset);
+}
+
+// glfw: whenever the mouse scroll wheel scrolls, this callback is called
+// ----------------------------------------------------------------------
+void scroll_callback(GLFWwindow* window, double xoffset, double yoffset)
+{
+    camera.ProcessMouseScroll(static_cast<float>(yoffset));
+}
+
+// utility function for loading a 2D texture from file
+// ---------------------------------------------------
+unsigned int loadTexture(char const * path, bool gammaCorrection)
+{
+    unsigned int textureID;
+    glGenTextures(1, &textureID);
+
+    int width, height, nrComponents;
+    unsigned char *data = stbi_load(path, &width, &height, &nrComponents, 0);
+    if (data)
+    {
+        GLenum internalFormat;
+        GLenum dataFormat;
+        if (nrComponents == 1)
+        {
+            internalFormat = dataFormat = GL_RED;
+        }
+        else if (nrComponents == 3)
+        {
+            internalFormat = gammaCorrection ? GL_SRGB : GL_RGB;
+            dataFormat = GL_RGB;
+        }
+        else if (nrComponents == 4)
+        {
+            internalFormat = gammaCorrection ? GL_SRGB_ALPHA : GL_RGBA;
+            dataFormat = GL_RGBA;
+        }
+
+        glBindTexture(GL_TEXTURE_2D, textureID);
+        glTexImage2D(GL_TEXTURE_2D, 0, internalFormat, width, height, 0, dataFormat, GL_UNSIGNED_BYTE, data);
+        glGenerateMipmap(GL_TEXTURE_2D);
+
+        glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_WRAP_S, GL_REPEAT);
+        glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_WRAP_T, GL_REPEAT);
+        glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_MIN_FILTER, GL_LINEAR_MIPMAP_LINEAR);
+        glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_MAG_FILTER, GL_LINEAR);
+
+        stbi_image_free(data);
+    }
+    else
+    {
+        std::cout << "Texture failed to load at path: " << path << std::endl;
+        stbi_image_free(data);
+    }
+
+    return textureID;
+}
diff --git a/src/8.guest/2022/7.area_lights/ltc_matrix.hpp b/src/8.guest/2022/7.area_lights/ltc_matrix.hpp
new file mode 100644
index 0000000..3dd7545
--- /dev/null
+++ b/src/8.guest/2022/7.area_lights/ltc_matrix.hpp
@@ -0,0 +1,8203 @@
+#pragma once
+
+// LTC1 is the inverse M
+// LTC2 is for (GGX norm, fresnel, 0(unused), sphere for horizon-clipping)
+
+const float LTC1[] = {
+	1, 0, 0, 2e-05,
+	1, 0, 0, 0.000503905,
+	1, 0, 0, 0.00201562,
+	1, 0, 0, 0.00453516,
+	1, 0, 0, 0.00806253,
+	1, 0, 0, 0.0125978,
+	1, 0, 0, 0.018141,
+	1, 0, 0, 0.0246924,
+	1, 0, 0, 0.0322525,
+	1, 0, 0, 0.0408213,
+	1, 0, 0, 0.0503999,
+	1, 0, 0, 0.0609894,
+	1, 0, 0, 0.0725906,
+	1, 0, 0, 0.0852058,
+	1, 0, 0, 0.0988363,
+	1, 0, 0, 0.113484,
+	1, 0, 0, 0.129153,
+	1, 0, 0, 0.145839,
+	1, 0, 0, 0.163548,
+	1, 0, 0, 0.182266,
+	1, 0, 0, 0.201942,
+	1, 0, 0, 0.222314,
+	1, 0, 0, 0.241906,
+	1, 0, 0, 0.262314,
+	1, 0, 0, 0.285754,
+	1, 0, 0, 0.310159,
+	1, 0, 0, 0.335426,
+	1, 0, 0, 0.361341,
+	1, 0, 0, 0.387445,
+	1, 0, 0, 0.412784,
+	1, 0, 0, 0.438197,
+	1, 0, 0, 0.466966,
+	1, 0, 0, 0.49559,
+	1, 0, 0, 0.523448,
+	1, 0, 0, 0.549938,
+	1, 0, 0, 0.57979,
+	1, 0, 0, 0.608746,
+	1, 0, 0, 0.636185,
+	1, 0, 0, 0.664748,
+	1, 0, 0, 0.69313,
+	1, 0, 0, 0.71966,
+	1, 0, 0, 0.747662,
+	1, 0, 0, 0.774023,
+	1, 0, 0, 0.799775,
+	1, 0, 0, 0.825274,
+	1, 0, 0, 0.849156,
+	1, 0, 0, 0.873248,
+	1, 0, 0, 0.89532,
+	1, 0, 0, 0.917565,
+	1, 0, 0, 0.937863,
+	1, 0, 0, 0.958139,
+	1, 0, 0, 0.976563,
+	1, 0, 0, 0.994658,
+	1, 0, 0, 1.0112,
+	1, 0, 0, 1.02712,
+	1, 0, 0, 1.04189,
+	1, 0, 0, 1.05568,
+	1, 0, 0, 1.06877,
+	1, 0, 0, 1.08058,
+	1, 0, 0, 1.09194,
+	1, 0, 0, 1.10191,
+	1, 0, 0, 1.11161,
+	1, 0, 0, 1.1199,
+	1, 0, 0, 1.12813,
+	0.999547, -4.48815e-07, 0.0224417, 1.99902e-05,
+	0.999495, -1.13079e-05, 0.0224406, 0.000503651,
+	0.999496, -4.52317e-05, 0.0224406, 0.00201461,
+	0.999496, -0.000101772, 0.0224406, 0.00453287,
+	0.999495, -0.000180928, 0.0224406, 0.00805845,
+	0.999497, -0.000282702, 0.0224406, 0.0125914,
+	0.999496, -0.000407096, 0.0224406, 0.0181319,
+	0.999498, -0.000554114, 0.0224406, 0.02468,
+	0.999499, -0.000723768, 0.0224406, 0.0322363,
+	0.999495, -0.000916058, 0.0224405, 0.0408009,
+	0.999499, -0.00113101, 0.0224408, 0.050375,
+	0.999494, -0.00136863, 0.0224405, 0.0609586,
+	0.999489, -0.00162896, 0.0224401, 0.0725537,
+	0.999489, -0.00191201, 0.0224414, 0.0851619,
+	0.999498, -0.00221787, 0.0224413, 0.0987867,
+	0.999492, -0.00254642, 0.0224409, 0.113426,
+	0.999507, -0.00289779, 0.0224417, 0.129088,
+	0.999494, -0.0032716, 0.0224386, 0.145767,
+	0.999546, -0.0036673, 0.0224424, 0.163472,
+	0.999543, -0.00408166, 0.0224387, 0.182182,
+	0.999499, -0.00450056, 0.0224338, 0.201843,
+	0.999503, -0.00483661, 0.0224203, 0.222198,
+	0.999546, -0.00452928, 0.022315, 0.241714,
+	0.999508, -0.00587403, 0.0224329, 0.262184,
+	0.999509, -0.00638806, 0.0224271, 0.285609,
+	0.999501, -0.00691028, 0.0224166, 0.309998,
+	0.999539, -0.00741979, 0.0223989, 0.335262,
+	0.999454, -0.00786282, 0.0223675, 0.361154,
+	0.999529, -0.00811928, 0.0222828, 0.387224,
+	0.999503, -0.00799941, 0.0221063, 0.41252,
+	0.999561, -0.00952753, 0.0223057, 0.438006,
+	0.999557, -0.0099134, 0.0222065, 0.466735,
+	0.999541, -0.0100935, 0.0220402, 0.495332,
+	0.999562, -0.00996821, 0.0218067, 0.523197,
+	0.999556, -0.0105031, 0.0217096, 0.550223,
+	0.999561, -0.0114191, 0.0217215, 0.579498,
+	0.999588, -0.0111818, 0.0213357, 0.608416,
+	0.999633, -0.0107725, 0.0208689, 0.635965,
+	0.999527, -0.0121671, 0.0210149, 0.664476,
+	0.999508, -0.0116005, 0.020431, 0.692786,
+	0.999568, -0.0115604, 0.0199791, 0.719709,
+	0.999671, -0.0121117, 0.0197415, 0.74737,
+	0.999688, -0.0110769, 0.0188846, 0.773692,
+	0.99962, -0.0122368, 0.0188452, 0.799534,
+	0.999823, -0.0110325, 0.0178001, 0.825046,
+	0.999599, -0.0114923, 0.0174221, 0.849075,
+	0.999619, -0.0105923, 0.0164345, 0.872999,
+	0.999613, -0.0105988, 0.0158227, 0.895371,
+	0.99964, -0.00979861, 0.0148131, 0.917364,
+	0.99977, -0.00967238, 0.0140721, 0.938002,
+	0.999726, -0.00869175, 0.0129543, 0.957917,
+	0.99973, -0.00866872, 0.0122329, 0.976557,
+	0.999773, -0.00731956, 0.0108958, 0.994459,
+	0.999811, -0.00756027, 0.0102715, 1.01118,
+	0.999862, -0.00583732, 0.00878781, 1.02701,
+	0.999835, -0.00631438, 0.00827529, 1.04186,
+	0.999871, -0.00450785, 0.00674583, 1.05569,
+	0.999867, -0.00486079, 0.00621041, 1.06861,
+	0.999939, -0.00322072, 0.00478301, 1.08064,
+	0.999918, -0.00318199, 0.00406395, 1.09181,
+	1.00003, -0.00193348, 0.00280682, 1.10207,
+	0.999928, -0.00153729, 0.00198741, 1.11152,
+	0.999933, -0.000623666, 0.000917714, 1.12009,
+	1, -1.02387e-06, 9.07581e-07, 1.12813,
+	0.997866, -8.96716e-07, 0.0448334, 1.99584e-05,
+	0.997987, -2.25945e-05, 0.0448389, 0.000502891,
+	0.997987, -9.03781e-05, 0.0448388, 0.00201156,
+	0.997985, -0.000203351, 0.0448388, 0.00452602,
+	0.997986, -0.000361514, 0.0448388, 0.00804629,
+	0.997987, -0.00056487, 0.0448389, 0.0125724,
+	0.997988, -0.000813423, 0.0448389, 0.0181045,
+	0.997984, -0.00110718, 0.0448387, 0.0246427,
+	0.997985, -0.00144616, 0.0448388, 0.0321875,
+	0.997987, -0.00183038, 0.044839, 0.0407392,
+	0.997983, -0.00225987, 0.0448387, 0.0502986,
+	0.997991, -0.00273467, 0.0448389, 0.0608667,
+	0.997984, -0.00325481, 0.0448384, 0.0724444,
+	0.998002, -0.00382043, 0.044839, 0.0850348,
+	0.997997, -0.00443145, 0.0448396, 0.0986372,
+	0.998007, -0.00508796, 0.0448397, 0.113255,
+	0.998008, -0.00578985, 0.04484, 0.128891,
+	0.998003, -0.00653683, 0.0448384, 0.145548,
+	0.997983, -0.00732713, 0.0448358, 0.163221,
+	0.997985, -0.00815454, 0.0448358, 0.181899,
+	0.998005, -0.00898985, 0.0448286, 0.201533,
+	0.998026, -0.00964404, 0.0447934, 0.221821,
+	0.998055, -0.00922677, 0.044611, 0.241282,
+	0.99804, -0.0117361, 0.0448245, 0.261791,
+	0.998048, -0.0127628, 0.0448159, 0.285181,
+	0.998088, -0.0138055, 0.0447996, 0.30954,
+	0.998058, -0.0148206, 0.0447669, 0.334751,
+	0.998099, -0.0156998, 0.044697, 0.36061,
+	0.998116, -0.0161976, 0.0445122, 0.386603,
+	0.998195, -0.015945, 0.0441711, 0.411844,
+	0.998168, -0.0183947, 0.0444255, 0.43773,
+	0.998184, -0.0197913, 0.0443809, 0.466009,
+	0.998251, -0.0201426, 0.0440689, 0.494574,
+	0.998305, -0.0198847, 0.0435632, 0.522405,
+	0.998273, -0.0210577, 0.043414, 0.549967,
+	0.998254, -0.0227901, 0.0433943, 0.578655,
+	0.998349, -0.0223108, 0.0426529, 0.60758,
+	0.99843, -0.0223088, 0.042, 0.635524,
+	0.998373, -0.0241141, 0.0418987, 0.663621,
+	0.998425, -0.0231446, 0.0408118, 0.691906,
+	0.998504, -0.0233684, 0.0400565, 0.719339,
+	0.998443, -0.0241652, 0.0394634, 0.74643,
+	0.99848, -0.0228715, 0.0380002, 0.773086,
+	0.998569, -0.023519, 0.0372322, 0.798988,
+	0.998619, -0.0223108, 0.0356468, 0.824249,
+	0.998594, -0.0223105, 0.034523, 0.848808,
+	0.998622, -0.0213426, 0.0328887, 0.87227,
+	0.998669, -0.0207912, 0.0314374, 0.895157,
+	0.998705, -0.0198416, 0.0296925, 0.916769,
+	0.998786, -0.0189168, 0.0279634, 0.937773,
+	0.998888, -0.0178811, 0.0261597, 0.957431,
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+	0.0379225, -0.0422914, 0.177932, 0.0239236,
+	0.0447501, -0.0487469, 0.19167, 0.0296568,
+	0.0519391, -0.0556398, 0.203224, 0.0362924,
+	0.0599464, -0.0631646, 0.215652, 0.0440585,
+	0.0702427, -0.0714308, 0.232089, 0.0531619,
+	0.0806902, -0.0800605, 0.245258, 0.0634564,
+	0.0923194, -0.0892815, 0.258609, 0.0752481,
+	0.106938, -0.09931, 0.276654, 0.0888914,
+	0.121238, -0.109575, 0.289847, 0.104055,
+	0.138817, -0.120461, 0.307566, 0.121266,
+	0.15595, -0.131209, 0.320117, 0.139944,
+	0.178418, -0.143049, 0.339677, 0.161591,
+	0.197875, -0.154074, 0.349886, 0.184303,
+	0.224368, -0.166307, 0.369352, 0.210669,
+	0.252213, -0.178051, 0.386242, 0.238895,
+	0.277321, -0.189335, 0.395294, 0.269182,
+	0.310332, -0.200683, 0.412148, 0.302508,
+	0.338809, -0.210856, 0.418266, 0.337264,
+	0.372678, -0.220655, 0.428723, 0.374881,
+	0.405632, -0.230053, 0.433887, 0.415656,
+	0.442293, -0.237993, 0.439911, 0.457982,
+	0.477256, -0.244897, 0.440175, 0.502831,
+	0.515592, -0.250657, 0.441079, 0.550277,
+	0.550969, -0.255459, 0.435219, 0.601102,
+	0.592883, -0.257696, 0.432882, 0.651785,
+	0.629092, -0.259894, 0.421054, 0.708961,
+	0.672033, -0.258592, 0.41177, 0.763806,
+	0.709147, -0.256525, 0.395267, 0.824249,
+	0.745367, -0.254677, 0.375013, 0.8951,
+	0.784715, -0.247892, 0.353906, 0.959317,
+	0.818107, -0.240162, 0.327801, 1.03153,
+	0.847895, -0.229741, 0.298821, 1.10601,
+	0.879603, -0.213084, 0.269115, 1.164,
+	0.902605, -0.195242, 0.236606, 1.22854,
+	0.922788, -0.174505, 0.203442, 1.29017,
+	0.944831, -0.150169, 0.169594, 1.34157,
+	0.959656, -0.124099, 0.135909, 1.3956,
+	0.972399, -0.0960626, 0.0990563, 1.45128,
+	0.986549, -0.0657097, 0.0602348, 1.50312,
+	1.00013, -0.0333558, 0.0186694, 1.55364,
+	6.19747e-06, -1e-07, 0.00778326, 7.96756e-11,
+	2.37499e-08, -9.99999e-08, 2.82592e-05, 1.14596e-10,
+	1.00292e-06, -1.66369e-06, 0.000250354, 6.77492e-09,
+	3.50752e-06, -6.37769e-06, 0.000357289, 6.31655e-08,
+	8.26445e-06, -1.74689e-05, 0.000516179, 3.1851e-07,
+	2.42481e-05, -4.50868e-05, 0.0010223, 1.30577e-06,
+	4.55631e-05, -8.9044e-05, 0.00144302, 3.74587e-06,
+	9.71222e-05, -0.000178311, 0.00241912, 1.02584e-05,
+	0.000171403, -0.000313976, 0.00354938, 2.36481e-05,
+	0.000292747, -0.000520026, 0.00513765, 4.96014e-05,
+	0.000789827, -0.00118187, 0.0238621, 0.000139056,
+	0.00114093, -0.00171827, 0.0286691, 0.000244093,
+	0.00176119, -0.00249667, 0.0368565, 0.000420623,
+	0.0022233, -0.00333742, 0.0400469, 0.00065673,
+	0.00343382, -0.00481976, 0.0535751, 0.00109323,
+	0.00427602, -0.00600755, 0.057099, 0.00155268,
+	0.00461435, -0.00737637, 0.0551084, 0.00215031,
+	0.00695698, -0.00971401, 0.0715767, 0.00316529,
+	0.00867619, -0.0120943, 0.0793314, 0.00436995,
+	0.0106694, -0.0148202, 0.0869391, 0.0058959,
+	0.0140351, -0.0183501, 0.101572, 0.00798757,
+	0.0168939, -0.022006, 0.11018, 0.0104233,
+	0.020197, -0.0261568, 0.119041, 0.0134167,
+	0.0254702, -0.0312778, 0.135404, 0.0173009,
+	0.0298384, -0.0362469, 0.1437, 0.0215428,
+	0.035159, -0.042237, 0.15512, 0.0268882,
+	0.0427685, -0.0488711, 0.17128, 0.033235,
+	0.0494848, -0.0557997, 0.181813, 0.0404443,
+	0.0592394, -0.0635578, 0.198745, 0.0490043,
+	0.0681463, -0.071838, 0.210497, 0.0588239,
+	0.0804753, -0.0809297, 0.228864, 0.0702835,
+	0.0942205, -0.0906488, 0.247008, 0.0834012,
+	0.106777, -0.100216, 0.258812, 0.0975952,
+	0.124471, -0.110827, 0.278617, 0.114162,
+	0.138389, -0.121193, 0.287049, 0.131983,
+	0.159543, -0.13253, 0.307151, 0.152541,
+	0.176432, -0.143611, 0.31564, 0.174673,
+	0.201723, -0.15548, 0.33538, 0.199842,
+	0.229721, -0.167166, 0.355256, 0.227097,
+	0.250206, -0.178238, 0.360047, 0.256014,
+	0.282118, -0.189905, 0.378761, 0.28855,
+	0.312821, -0.201033, 0.39181, 0.323348,
+	0.341482, -0.211584, 0.397716, 0.360564,
+	0.377368, -0.221314, 0.410141, 0.400004,
+	0.418229, -0.230474, 0.423485, 0.442371,
+	0.444881, -0.239443, 0.418874, 0.488796,
+	0.488899, -0.245987, 0.427545, 0.535012,
+	0.520317, -0.253948, 0.422147, 0.589678,
+	0.568566, -0.256616, 0.42719, 0.637683,
+	0.599607, -0.26376, 0.415114, 0.703363,
+	0.64222, -0.268687, 0.408715, 0.771363,
+	0.685698, -0.2694, 0.399722, 0.83574,
+	0.732327, -0.266642, 0.388651, 0.897764,
+	0.769873, -0.267712, 0.369198, 0.983312,
+	0.806733, -0.263479, 0.346802, 1.06222,
+	0.843466, -0.254575, 0.321368, 1.13477,
+	0.873008, -0.242749, 0.29211, 1.20712,
+	0.908438, -0.22725, 0.262143, 1.27465,
+	0.936321, -0.207621, 0.228876, 1.33203,
+	0.950353, -0.187932, 0.19484, 1.40439,
+	0.96442, -0.165154, 0.163178, 1.4732,
+	0.979856, -0.139302, 0.127531, 1.53574,
+	0.982561, -0.11134, 0.0903457, 1.59982,
+	0.996389, -0.0808124, 0.0489007, 1.6577,
+};
+
+
+const float LTC2[] = {
+	1, 0, 0, 0,
+	1, 7.91421e-31, 0, 0,
+	1, 1.04392e-24, 0, 0,
+	1, 3.49405e-21, 0, 0,
+	1, 1.09923e-18, 0, 0,
+	1, 9.47414e-17, 0, 0,
+	1, 3.59627e-15, 0, 0,
+	1, 7.72053e-14, 0, 0,
+	1, 1.08799e-12, 0, 0,
+	1, 1.10655e-11, 0, 0,
+	1, 8.65818e-11, 0, 0,
+	0.999998, 5.45037e-10, 0, 0,
+	0.999994, 2.85095e-09, 0, 0,
+	0.999989, 1.26931e-08, 0, 0,
+	0.999973, 4.89938e-08, 0, 0,
+	0.999947, 1.66347e-07, 0, 0,
+	0.999894, 5.02694e-07, 0, 0,
+	0.999798, 1.36532e-06, 0, 0,
+	0.999617, 3.35898e-06, 0, 0,
+	0.999234, 7.52126e-06, 0, 0,
+	0.998258, 1.52586e-05, 0, 0,
+	0.99504, 2.66207e-05, 0, 0,
+	0.980816, 2.36802e-05, 0, 0,
+	0.967553, 2.07684e-06, 0, 0,
+	0.966877, 4.03733e-06, 0, 0,
+	0.965752, 7.41174e-06, 0, 0,
+	0.96382, 1.27746e-05, 0, 0,
+	0.960306, 2.02792e-05, 0, 0,
+	0.953619, 2.80232e-05, 0, 0,
+	0.941103, 2.78816e-05, 0, 0,
+	0.926619, 1.60221e-05, 0, 0,
+	0.920983, 2.35164e-05, 0, 0,
+	0.912293, 3.11924e-05, 0, 0.0158731,
+	0.899277, 3.48118e-05, 0, 0.0476191,
+	0.880884, 2.6041e-05, 0, 0.0793651,
+	0.870399, 3.38726e-05, 0, 0.111111,
+	0.856138, 3.92906e-05, 0, 0.142857,
+	0.837436, 3.72874e-05, 0, 0.174603,
+	0.820973, 3.92558e-05, 0, 0.206349,
+	0.803583, 4.34658e-05, 0, 0.238095,
+	0.782168, 4.0256e-05, 0, 0.269841,
+	0.764107, 4.48159e-05, 0, 0.301587,
+	0.743092, 4.57627e-05, 0, 0.333333,
+	0.721626, 4.55314e-05, 0, 0.365079,
+	0.700375, 4.77335e-05, 0, 0.396825,
+	0.677334, 4.61072e-05, 0, 0.428571,
+	0.655702, 4.84393e-05, 0, 0.460317,
+	0.632059, 4.64583e-05, 0, 0.492064,
+	0.610125, 4.83923e-05, 0, 0.52381,
+	0.58653, 4.64342e-05, 0, 0.555556,
+	0.564508, 4.77033e-05, 0, 0.587302,
+	0.541405, 4.59263e-05, 0, 0.619048,
+	0.519556, 4.6412e-05, 0, 0.650794,
+	0.497292, 4.48913e-05, 0, 0.68254,
+	0.475898, 4.45789e-05, 0, 0.714286,
+	0.454722, 4.33496e-05, 0, 0.746032,
+	0.434042, 4.23054e-05, 0, 0.777778,
+	0.414126, 4.13737e-05, 0, 0.809524,
+	0.394387, 3.97265e-05, 0, 0.84127,
+	0.375841, 3.90709e-05, 0, 0.873016,
+	0.357219, 3.69938e-05, 0, 0.904762,
+	0.340084, 3.65618e-05, 0, 0.936508,
+	0.322714, 3.42533e-05, 0, 0.968254,
+	0.306974, 3.39596e-05, 0, 1,
+	1, 1.01524e-18, 0, 0,
+	1, 1.0292e-18, 0, 0,
+	1, 1.30908e-18, 0, 0,
+	1, 4.73331e-18, 0, 0,
+	1, 6.25319e-17, 0, 0,
+	1, 1.07932e-15, 0, 0,
+	1, 1.63779e-14, 0, 0,
+	1, 2.03198e-13, 0, 0,
+	1, 2.04717e-12, 0, 0,
+	0.999999, 1.68995e-11, 0, 0,
+	0.999998, 1.15855e-10, 0, 0,
+	0.999996, 6.6947e-10, 0, 0,
+	0.999991, 3.30863e-09, 0, 0,
+	0.999983, 1.41737e-08, 0, 0,
+	0.999968, 5.32626e-08, 0, 0,
+	0.99994, 1.77431e-07, 0, 0,
+	0.999891, 5.28835e-07, 0, 0,
+	0.999797, 1.42169e-06, 0, 0,
+	0.999617, 3.47057e-06, 0, 0,
+	0.999227, 7.7231e-06, 0, 0,
+	0.998239, 1.55753e-05, 0, 0,
+	0.994937, 2.68495e-05, 0, 0,
+	0.980225, 2.13742e-05, 0, 0,
+	0.967549, 2.1631e-06, 0, 0,
+	0.966865, 4.17989e-06, 0, 0,
+	0.965739, 7.63341e-06, 0, 0,
+	0.963794, 1.30892e-05, 0, 0,
+	0.960244, 2.06456e-05, 0, 0,
+	0.953495, 2.82016e-05, 0, 0.000148105,
+	0.940876, 2.71581e-05, 0, 0.002454,
+	0.926569, 1.64159e-05, 0, 0.00867491,
+	0.920905, 2.39521e-05, 0, 0.01956,
+	0.912169, 3.15127e-05, 0, 0.035433,
+	0.899095, 3.46626e-05, 0, 0.056294,
+	0.882209, 2.90223e-05, 0, 0.0818191,
+	0.870272, 3.42992e-05, 0, 0.111259,
+	0.855977, 3.94164e-05, 0, 0.142857,
+	0.837431, 3.72343e-05, 0, 0.174603,
+	0.820826, 3.96691e-05, 0, 0.206349,
+	0.803408, 4.35395e-05, 0, 0.238095,
+	0.782838, 4.19579e-05, 0, 0.269841,
+	0.763941, 4.50953e-05, 0, 0.301587,
+	0.742904, 4.55847e-05, 0, 0.333333,
+	0.721463, 4.58833e-05, 0, 0.365079,
+	0.700197, 4.77159e-05, 0, 0.396825,
+	0.677501, 4.70641e-05, 0, 0.428571,
+	0.655527, 4.84732e-05, 0, 0.460317,
+	0.6324, 4.76834e-05, 0, 0.492064,
+	0.609964, 4.84213e-05, 0, 0.52381,
+	0.586839, 4.75541e-05, 0, 0.555556,
+	0.564353, 4.76951e-05, 0, 0.587302,
+	0.541589, 4.67611e-05, 0, 0.619048,
+	0.519413, 4.63493e-05, 0, 0.650794,
+	0.497337, 4.53994e-05, 0, 0.68254,
+	0.475797, 4.45308e-05, 0, 0.714286,
+	0.454659, 4.35787e-05, 0, 0.746032,
+	0.434065, 4.24839e-05, 0, 0.777778,
+	0.414018, 4.1436e-05, 0, 0.809524,
+	0.39455, 4.01902e-05, 0, 0.84127,
+	0.375742, 3.90813e-05, 0, 0.873016,
+	0.357501, 3.77116e-05, 0, 0.904762,
+	0.339996, 3.6535e-05, 0, 0.936508,
+	0.323069, 3.51265e-05, 0, 0.968254,
+	0.306897, 3.39112e-05, 0, 1,
+	1, 1.0396e-15, 0, 0,
+	1, 1.04326e-15, 0, 0,
+	1, 1.10153e-15, 0, 0,
+	1, 1.44668e-15, 0, 0,
+	1, 3.4528e-15, 0, 0,
+	1, 1.75958e-14, 0, 0,
+	1, 1.2627e-13, 0, 0,
+	1, 9.36074e-13, 0, 0,
+	1, 6.45742e-12, 0, 0,
+	0.999998, 4.01228e-11, 0, 0,
+	0.999997, 2.22338e-10, 0, 0,
+	0.999995, 1.0967e-09, 0, 0,
+	0.999991, 4.82132e-09, 0, 0,
+	0.999981, 1.89434e-08, 0, 0,
+	0.999967, 6.67716e-08, 0, 0,
+	0.999938, 2.12066e-07, 0, 0,
+	0.999886, 6.0977e-07, 0, 0,
+	0.999792, 1.59504e-06, 0, 0,
+	0.999608, 3.81191e-06, 0, 0,
+	0.999209, 8.33727e-06, 0, 0,
+	0.998179, 1.65288e-05, 0, 0,
+	0.994605, 2.74387e-05, 0, 0,
+	0.979468, 1.67316e-05, 0, 0,
+	0.967529, 2.42877e-06, 0, 0,
+	0.966836, 4.61696e-06, 0, 0,
+	0.96569, 8.30977e-06, 0, 0,
+	0.963706, 1.40427e-05, 0, 2.44659e-06,
+	0.960063, 2.17353e-05, 0, 0.000760774,
+	0.953113, 2.86606e-05, 0, 0.00367261,
+	0.940192, 2.47691e-05, 0, 0.00940263,
+	0.927731, 1.95814e-05, 0, 0.018333,
+	0.920669, 2.52531e-05, 0, 0.0306825,
+	0.911799, 3.24277e-05, 0, 0.0465556,
+	0.89857, 3.40982e-05, 0, 0.0659521,
+	0.883283, 3.19622e-05, 0, 0.0887677,
+	0.86989, 3.5548e-05, 0, 0.114784,
+	0.855483, 3.97143e-05, 0, 0.143618,
+	0.837987, 3.91665e-05, 0, 0.174606,
+	0.820546, 4.11306e-05, 0, 0.206349,
+	0.802878, 4.36753e-05, 0, 0.238095,
+	0.783402, 4.44e-05, 0, 0.269841,
+	0.763439, 4.58726e-05, 0, 0.301587,
+	0.742925, 4.67097e-05, 0, 0.333333,
+	0.721633, 4.78887e-05, 0, 0.365079,
+	0.69985, 4.81251e-05, 0, 0.396825,
+	0.67783, 4.91811e-05, 0, 0.428571,
+	0.655126, 4.88199e-05, 0, 0.460318,
+	0.632697, 4.96025e-05, 0, 0.492064,
+	0.609613, 4.8829e-05, 0, 0.52381,
+	0.587098, 4.92754e-05, 0, 0.555556,
+	0.564119, 4.82625e-05, 0, 0.587302,
+	0.541813, 4.82807e-05, 0, 0.619048,
+	0.519342, 4.71552e-05, 0, 0.650794,
+	0.497514, 4.66765e-05, 0, 0.68254,
+	0.475879, 4.55582e-05, 0, 0.714286,
+	0.454789, 4.46007e-05, 0, 0.746032,
+	0.434217, 4.35382e-05, 0, 0.777778,
+	0.414086, 4.21753e-05, 0, 0.809524,
+	0.394744, 4.12093e-05, 0, 0.84127,
+	0.375782, 3.96634e-05, 0, 0.873016,
+	0.357707, 3.86419e-05, 0, 0.904762,
+	0.340038, 3.70345e-05, 0, 0.936508,
+	0.323284, 3.59725e-05, 0, 0.968254,
+	0.306954, 3.436e-05, 0, 1,
+	1, 5.99567e-14, 0, 0,
+	1, 6.00497e-14, 0, 0,
+	1, 6.14839e-14, 0, 0,
+	1, 6.86641e-14, 0, 0,
+	1, 9.72658e-14, 0, 0,
+	1, 2.21271e-13, 0, 0,
+	1, 8.33195e-13, 0, 0,
+	1, 4.03601e-12, 0, 0,
+	0.999999, 2.06001e-11, 0, 0,
+	0.999998, 1.01739e-10, 0, 0,
+	0.999997, 4.70132e-10, 0, 0,
+	0.999993, 2.00436e-09, 0, 0,
+	0.999988, 7.83682e-09, 0, 0,
+	0.999979, 2.80338e-08, 0, 0,
+	0.999962, 9.17033e-08, 0, 0,
+	0.999933, 2.74514e-07, 0, 0,
+	0.999881, 7.53201e-07, 0, 0,
+	0.999783, 1.89826e-06, 0, 0,
+	0.999594, 4.40279e-06, 0, 0,
+	0.999178, 9.3898e-06, 0, 0,
+	0.998073, 1.81265e-05, 0, 0,
+	0.993993, 2.80487e-05, 0, 0,
+	0.979982, 1.49422e-05, 0, 0,
+	0.968145, 3.78481e-06, 0, 0,
+	0.966786, 5.3771e-06, 0, 0,
+	0.965611, 9.47508e-06, 0, 3.88934e-05,
+	0.963557, 1.56616e-05, 0, 0.0009693,
+	0.959752, 2.35144e-05, 0, 0.00370329,
+	0.952461, 2.91568e-05, 0, 0.00868428,
+	0.940193, 2.40102e-05, 0, 0.0161889,
+	0.929042, 2.31235e-05, 0, 0.0263948,
+	0.920266, 2.73968e-05, 0, 0.0394088,
+	0.911178, 3.37915e-05, 0, 0.0552818,
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