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Conversion Funnel · How it works & code

Multi-stage conversion from visit to recommendation: cumulative conversion = product of step-by-step conversion rates.

Runtime logic

Visiting `/dataviz/funnel`, DemoHost lazy-loads `demos/kits/kit-dataviz.js` (registry `mod: 'kit-dataviz'`) and calls `mount(host, { variant: 'funnel' })`. mount resolves the variant to family `funnel`; `withControls` builds the control panel (6 presets + sliders). `createCanvasStage` creates the `<canvas>` (HiDPI ≤ 2×, ResizeObserver) and the info panel. The family’s `build(S)` initialises state and returns the per-frame callback. Every `requestAnimationFrame`: read controls, advance a speed-scaled clock (dt ≤ 50 ms), run the frame callback; returned readouts go to the info panel. Changing parameters: colour/speed/size apply live; structural ones remount; leaving the page cancels rAF, removes listeners and frees resources.

Environment

Canvas 2D: 2D canvas drawing; requestAnimationFrame: Display-synced animation loop; ResizeObserver: Canvas follows container size; Pointer Events: Unified mouse/touch/pen events; devicePixelRatio: Crisp HiDPI rendering (capped at 2×) · react 18.3.1, react-router-dom 6.30.6, vite 5.4.21

Dependencies

react 18.3.1

Imported APIs

withControls — Wraps the demo in the shared control panel (presets, sliders, reset); hot-updates or remounts on change; paramsFromSpec — Turns the spec (colour/speed/size/count/extras) into control-panel parameter definitions; createCanvasStage — Shared Canvas 2D stage: canvas + info panel, HiDPI, one rAF loop, pointer state, idle auto-pointer; rng — Seeded deterministic PRNG (same seed, same result); hueOf — Hue of a colour (0–360°); clamp — Clamps a value to a range; TAU — Constant 2π; fmt — Number formatting (fixed decimals); F — Formula block HTML; S.clear — Clears with the background colour (translucent = trails); S.get — Reads current control values; S.onFrame — Registers a per-frame callback; its return value feeds the info panel; ctx.beginPath() — Starts a new path; ctx.moveTo() — Moves the pen without drawing; ctx.lineTo() — Adds a straight line to a point; ctx.closePath() — Closes the current sub-path; ctx.fill() — Fills the current path; ctx.stroke() — Strokes the current path; ctx.arc() — Adds a circular arc (center, radius, start/end angle); ctx.arcTo() — Adds an arc using tangent lines; ctx.fillText() — Draws filled text; ctx.measureText() — Measures text width

Source code

frontend/src/demos/kits/kit-dataviz.js: FAM.funnel (L608-L650)

Code walkthrough

L609-609: Control definitions (colour/speed/size/count/extras): Funnel Color, Funnel Width, Stage Count, Average Conversion Rate, Layer Spacing px, Monochrome. L610-610: Preset buttons: name → parameter overrides (6). L611-619: Info-panel content: live rows(v), formula, notes, params, steps. L620-649: Init function: sets up state and returns the per-frame callback: draws with Canvas 2D `beginPath`, `moveTo`, `lineTo`, `closePath`, `fill`, `stroke` …; math via `Math.round`, `Math.max`, `Math.sqrt`, `Math.floor`, `Math.random`, `Math.min`; returns readouts `n`, `st`, `cnt`, `prev`, `step`, `cum`, `lost` … to the info panel.

Principles

第 k Number of steps Nₖ = Nₖ₋₁ × pₖ(pₖ For single-step conversion rate) Cumulative Conversion = Nk Currently / N₁ = p₂ × p₃ × … × pₖ Gradient width Funnel Chart 展示用户一步步完成目标的过程:从访问网站,到注册、激活、下单、支付…每一步都会有人离开,所以越往下越窄,像个漏斗。 The two most important figures: Step Conversion Rate (What's left of this step? Cumulative conversion rate (相对于最开始还剩多少)。累计转化是所有单步转化率 Multiplication , So even every step 60%, After five steps, there's only one 13%. The small dots represent the downward movement of the user and the loss is the result of being thrown out. Pointer suspends any layer to view data.

Open the interactive demo · GitHub