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Just got a chance to do a quick AI-interrogation
Practical Computer Graphics Uses of Modulo
Tiling and Repeating Patterns
Use case: Seamless textures, checkerboards, brick walls.
How: mod(x, tile_width) wraps coordinates to repeat a pattern.
Example: Creating a grid of alternating colors:
Text.#declare Color = select(mod(X + Y, 2), rgb <1,1,1>, rgb <0,0,0>);Show more
lines
UV Mapping and Texture Wrapping
Use case: Preventing texture coordinates from exceeding [0,1].
How: mod(U, 1) ensures UVs stay within bounds.
Animation Loops
Use case: Looping motion or color changes.
How: mod(Time, Duration) resets animation after a cycle.
Striping and Banding Effects
Use case: Zebra stripes, barcodes, scanlines.
How: mod(Y, StripeHeight) < Threshold to alternate colors.
Grid Indexing
Use case: Mapping 1D index to 2D grid.
How: Row = Index / Width, Col = mod(Index, Width).
Symmetry and Mirroring
Use case: Reflecting patterns across axes.
How: mod(abs(X), MirrorWidth) to repeat mirrored segments.
Procedural Noise and Randomization
Use case: Repeating pseudo-random patterns.
How: Seeded PRNGs often use mod to wrap values.
Non-Math Logic and Programming Tasks Using Modulo
Alternating Behavior
Use case: Toggle between two states (e.g., even/odd rows).
How: if (mod(i, 2) = 0) → even; else → odd.
Scheduling and Timing
Use case: Trigger events every N frames or seconds.
How: if (mod(Frame, N) = 0) → trigger.
Circular Buffers
Use case: Wrap-around indexing in fixed-size arrays.
How: Index = mod(CurrentIndex, BufferSize).
Color Cycling
Use case: Cycle through a palette.
How: Color = Palette[mod(i, PaletteSize)].
Hashing and Bucketing
Use case: Assign items to groups or bins.
How: Bucket = mod(ID, NumBuckets).
File Naming or Resource Allocation
Use case: Distribute tasks or files evenly.
How: mod(TaskID, NumWorkers).
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