---

name: matrix-data-model-progression-testing description: Matrix data model verification using ASCII diagrams. Use when working with *Progressions.ts files, defineProgression(), or testing how 2D numeric grids evolve over time. Auto-apply when editing files matching Progressions.ts or src/test-utils/ascii.ts.

Matrix Data Model Progression Testing Skill

Verifies how 2D numeric matrices (the underlying data model) evolve over simulated time. Uses compact ASCII diagrams inspired by RxJS marble testing.

This is about data correctness, not rendering. The wave simulation uses matrices to represent:

• Bathymetry (depth values)
• Energy fields (wave energy at each cell)
• Foam density (foam amount at each cell)

When to Use This

• Editing *Progressions.ts files (bathymetry, energy field, foam, etc.)
• Designing new simulation behaviors
• Debugging why a layer produces unexpected data output
• Verifying time-series evolution of matrix values

Architecture

src/test-utils/
  asciiMatrix.ts           → ASCII encoding/decoding utilities
  asciiMatrix.test.ts      → Tests for the utilities themselves
  progression.ts           → defineProgression() framework
  progression.test.ts      → Tests for the framework

src/render/*Progressions.ts    → Layer progression definitions
src/state/energyFieldProgressions.ts

ASCII Matrix Format

Each character represents a cell value (0.0-1.0):

Char	Value Range	Meaning
-	< 0.05	No energy / zero
1	0.05-0.14	Very low
2	0.15-0.24	Low
3	0.25-0.34	Low-medium
4	0.35-0.44	Medium-low
A	0.45-0.54	Medium
B	0.55-0.64	Medium-high
C	0.65-0.74	High
D	0.75-0.84	Higher
E	0.85-0.94	Very high
F	>= 0.95	Full energy / max

Single Matrix Example

FFFFF    ← Row 0: Full energy at horizon
-----    ← Row 1: No energy
-----    ← Row 2: No energy
-----    ← Row 3: No energy
-----    ← Row 4: No energy (shore)

Multi-Frame Progression Example

Shows energy propagating downward over time:

t=0s     t=1s     t=2s     t=3s
FFFFF    BBBBB    44444    22222
-----    AAAAA    AAAAA    44444
-----    22222    44444    44444
-----    11111    22222    33333
-----    -----    11111    22222

Core Utilities

import {
  matrixToAscii,
  asciiToMatrix,
  progressionToAscii,
  asciiToProgression,
  matricesMatchAscii,
  valueToChar,
  charToValue,
} from '../test-utils/asciiMatrix';

// Single matrix
matrixToAscii([[1.0, 0.5], [0.0, 0.2]])  // → "FA\n-2"
asciiToMatrix("FA\n-2")                   // → [[1.0, 0.5], [0.0, 0.2]]

// Multi-frame progression
progressionToAscii(snapshots)             // → side-by-side frames with headers
asciiToProgression(asciiString)           // → array of {time, matrix}

// Comparison (tolerant to ASCII precision)
matricesMatchAscii(actual, expected)      // → true if same when encoded

defineProgression() Framework

import { defineProgression } from '../test-utils/progression';

export const PROGRESSION_ENERGY_PROPAGATION = defineProgression({
  id: 'energy-field/propagation',
  description: 'Energy propagates from horizon toward shore',
  initialMatrix: [
    [1.0, 1.0, 1.0, 1.0, 1.0],  // Horizon: full energy
    [0.0, 0.0, 0.0, 0.0, 0.0],
    [0.0, 0.0, 0.0, 0.0, 0.0],
    [0.0, 0.0, 0.0, 0.0, 0.0],
    [0.0, 0.0, 0.0, 0.0, 0.0],  // Shore: no energy yet
  ],
  updateFn: (matrix, dt) => propagateEnergy(matrix, dt),
  captureTimes: [0, 1, 2, 3, 4, 5],  // Capture snapshots at these times
});

// Access computed snapshots
PROGRESSION_ENERGY_PROPAGATION.snapshots[0].matrix  // t=0
PROGRESSION_ENERGY_PROPAGATION.snapshots[3].matrix  // t=3

Testing Progressions

Inline ASCII Assertions

import { describe, it, expect } from 'vitest';
import { progressionToAscii } from '../test-utils/asciiMatrix';

describe('PROGRESSION_ENERGY_PROPAGATION', () => {
  it('produces expected time evolution', () => {
    const ascii = progressionToAscii(PROGRESSION_ENERGY_PROPAGATION.snapshots);

    expect(ascii).toBe(`
t=0s     t=1s     t=2s     t=3s
FFFFF    BBBBB    44444    22222
-----    AAAAA    AAAAA    44444
-----    22222    44444    44444
-----    11111    22222    33333
-----    -----    11111    22222
`.trim());
  });
});

Point Assertions

it('energy reaches row 3 by t=3s', () => {
  const snapshot = PROGRESSION_ENERGY_PROPAGATION.snapshots[3];
  expect(snapshot.matrix[3][0]).toBeGreaterThan(0);
});

Workflow: Designing a New Progression

1. Sketch ASCII first - Draw what you expect the evolution to look like
2. Write the test - Use progressionToAscii() with your expected ASCII
3. Implement the logic - Write the updateFn that produces this behavior
4. Run test - npx vitest run src/render/myProgressions.test.ts
5. Iterate - Adjust coefficients until ASCII matches expectations

Design-first workflow:
  Sketch ASCII → Write test → Implement → Verify

NOT trial-and-error:
  Implement → Run → "Hmm, that looks wrong" → Tweak → Repeat

Why ASCII Over Vitest Snapshots?

Aspect	ASCII	Vitest Snapshots
Readability	Visual pattern obvious	Wall of numbers
Size	7 lines for 6 frames	1000+ lines
Location	Inline in test	Separate file
Diffs	Shows exactly which cells changed	Hard to parse
Design	Can sketch expected output first	Must run to generate

Relationship to Visual Testing

Progression tests verify the data (matrix values). Visual tests verify the rendering (pixels on screen).

Progression Test (this skill)     Visual Test (visual-testing skill)
        ↓                                    ↓
   Matrix data                         Screenshot
   [1.0, 0.5, 0.2]                    [PNG pixels]
        ↓                                    ↓
   ASCII: "FA2"                       Baseline comparison

Always verify data first. If the matrix is wrong, the visual will be wrong too. Don't debug rendering when the underlying data is the problem.

See visual-testing skill for screenshot-based regression testing.

Commands

# Run progression tests
npx vitest run src/render/bathymetryProgressions.test.ts
npx vitest run src/state/energyFieldProgressions.test.ts

# Run all test utilities (including ASCII)
npx vitest run src/test-utils/

# Watch mode for development
npx vitest src/render/foamProgressions.test.ts

Common Patterns

Testing Boundary Conditions

it('handles zero initial energy gracefully', () => {
  const progression = defineProgression({
    initialMatrix: createZeroMatrix(5, 5),
    updateFn: propagateEnergy,
    captureTimes: [0, 1, 2],
  });

  // Should remain zero (no energy to propagate)
  expect(matrixToAscii(progression.snapshots[2].matrix)).toBe(
    '-----\n-----\n-----\n-----\n-----'
  );
});

Testing Conservation Laws

it('total energy decreases with damping', () => {
  const snapshots = PROGRESSION_WITH_DAMPING.snapshots;
  const totalEnergy = (m: number[][]) => m.flat().reduce((a, b) => a + b, 0);

  expect(totalEnergy(snapshots[3].matrix))
    .toBeLessThan(totalEnergy(snapshots[0].matrix));
});

Comparing Two Progressions

it('damped version has less energy than undamped', () => {
  const damped = PROGRESSION_WITH_DAMPING.snapshots[3].matrix;
  const undamped = PROGRESSION_NO_DAMPING.snapshots[3].matrix;

  const sum = (m: number[][]) => m.flat().reduce((a, b) => a + b, 0);
  expect(sum(damped)).toBeLessThan(sum(undamped));
});