POV-Ray : Newsgroups : povray.newusers : What does the 'mod' operator do? : Re: What does the 'mod' operator do? Server Time
10 Nov 2025 18:58:48 EST (-0500)
  Re: What does the 'mod' operator do?  
From: Bald Eagle
Date: 10 Nov 2025 13:50:00
Message: <web.691233971bdd44317f81dbac25979125@news.povray.org>
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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