Derivative Shaders -

// The normal is the cross product of these two vectors vec3 normal = normalize(cross(dx, dy));

What are screen space derivatives and when would I use them?

Because the GPU calculates the color for four pixels simultaneously, it can compare the values of variables between them. If pixel A has a value of $5.0$ and its neighbor pixel B has a value of $5.1$, the hardware knows that the value is changing at a rate of $0.1$ per pixel. That rate of change is the derivative.

Derivatives allow the shader to know "how fast" the UVs are changing. If the change is high, the pattern is moving too fast for the screen resolution, and the shader needs to blur (mip) the result. This is how texture() lookups automatically select the correct MIP map level—they calculate derivatives of the UVs behind the scenes. derivative shaders

Shader Options menu to toggle specific features like shadow quality or volumetric clouds to balance looks and performance. ftp.bills.com.au +1 Quick Comparison: Derivative vs. Others Shader Pack Primary Strength Best For Derivative Cinematic atmosphere & glass reflections Realistic cityscapes and trailers Complementary Exceptional performance and customization General survival gameplay Sildur's Vibrant Iconic, colorful look with high compatibility Players with older hardware Iris + Sodium Pure performance/FPS boost with shader support Competitive or lag-free play Further Exploration Learn more about the specific visual differences in this Derivative vs. Complementary comparison video . Check out a detailed walkthrough of installing shaders for version 1.21.11 . Explore community discussions on performance-focused shader alternatives like Sodium and Iris. Are you looking for a

Next time you write a shader, ask — “What would this effect look like if it knew how fast things change across the screen?” Then reach for ddx and ddy . You might never go back.

Derivative shaders can generate "flat" surface normals on the fly without requiring pre-baked normal maps or vertex normals. By taking the derivatives of the world-space position (reconstructed from depth), a shader can calculate a face normal using a cross product of the horizontal and vertical rates of change. Common Functions and Syntax Function (GLSL) Function (HLSL) Description dFdx(v) ddx(v) // The normal is the cross product of

In computer graphics, "derivative shaders" refers to programs that utilize hardware-level partial derivative functions—such as dFdx , dFdy , and fwidth in GLSL, or ddx , ddy , and fwidth in HLSL—to calculate the rate of change of a variable across screen space. These functions are primarily used in to manage texture filtering, anti-aliasing, and surface detail generation. How Derivative Shaders Work

The most common use of derivatives is texture anti-aliasing. Imagine a procedural checkerboard pattern calculated mathematically (without a texture file).

In calculus, a derivative represents the rate at which a value changes. In a fragment shader, a derivative represents how much a specific value changes from one pixel to its neighbor. That rate of change is the derivative

Derivatives provide a proxy for screen-space size. If length(ddx(position)) is small, the object is large on screen (high detail needed). If the value is large, the object is small on screen (low detail needed). This allows for dynamic LOD in fragment shaders without passing distance variables from the vertex stage.

Derivative shaders represent a significant advancement in the field of computer graphics, providing developers with precise control over texture sampling and manipulation. Through their ability to enhance visual fidelity and support complex graphical effects, derivative shaders play a critical role in creating immersive and engaging graphical experiences. As the field continues to evolve, the applications and importance of derivative shaders are set to grow, driving forward the boundaries of what is possible in computer-generated imagery.