cc-backend/web/frontend/src/plots/Roofline.svelte

356 lines
11 KiB
Svelte
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2022-06-22 11:20:57 +02:00
<div class="cc-plot">
<canvas bind:this={canvasElement} width="{prevWidth}" height="{prevHeight}"></canvas>
</div>
<script context="module">
const axesColor = '#aaaaaa'
const fontSize = 12
const fontFamily = 'system-ui, -apple-system, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"'
const paddingLeft = 40,
paddingRight = 10,
paddingTop = 10,
paddingBottom = 50
function getGradientR(x) {
if (x < 0.5) return 0
if (x > 0.75) return 255
x = (x - 0.5) * 4.0
return Math.floor(x * 255.0)
}
function getGradientG(x) {
if (x > 0.25 && x < 0.75) return 255
if (x < 0.25) x = x * 4.0
else x = 1.0 - (x - 0.75) * 4.0
return Math.floor(x * 255.0)
}
function getGradientB(x) {
if (x < 0.25) return 255
if (x > 0.5) return 0
x = 1.0 - (x - 0.25) * 4.0
return Math.floor(x * 255.0)
}
function getRGB(c) {
return `rgb(${getGradientR(c)}, ${getGradientG(c)}, ${getGradientB(c)})`
}
function lineIntersect(x1, y1, x2, y2, x3, y3, x4, y4) {
let l = (y4 - y3) * (x2 - x1) - (x4 - x3) * (y2 - y1)
let a = ((x4 - x3) * (y1 - y3) - (y4 - y3) * (x1 - x3)) / l
return {
x: x1 + a * (x2 - x1),
y: y1 + a * (y2 - y1)
}
}
const power = [1, 1e3, 1e6, 1e9, 1e12]
const suffix = ['', 'k', 'm', 'g']
function formatNumber(x) {
for (let i = 0; i < suffix.length; i++)
if (power[i] <= x && x < power[i+1])
return `${x / power[i]}${suffix[i]}`
return Math.abs(x) >= 1000 ? x.toExponential() : x.toString()
}
function axisStepFactor(i, size) {
if (size && size < 500)
return 10
if (i % 3 == 0)
return 2
else if (i % 3 == 1)
return 2.5
else
return 2
}
function render(ctx, data, cluster, width, height, colorDots, defaultMaxY) {
if (width <= 0)
return
const [minX, maxX, minY, maxY] = [0.01, 1000, 1., cluster?.flopRateSimd || defaultMaxY]
const w = width - paddingLeft - paddingRight
const h = height - paddingTop - paddingBottom
// Helpers:
const [log10minX, log10maxX, log10minY, log10maxY] =
[Math.log10(minX), Math.log10(maxX), Math.log10(minY), Math.log10(maxY)]
/* Value -> Pixel-Coordinate */
const getCanvasX = (x) => {
x = Math.log10(x)
x -= log10minX; x /= (log10maxX - log10minX)
return Math.round((x * w) + paddingLeft)
}
const getCanvasY = (y) => {
y = Math.log10(y)
y -= log10minY
y /= (log10maxY - log10minY)
return Math.round((h - y * h) + paddingTop)
}
// Axes
ctx.fillStyle = 'black'
ctx.strokeStyle = axesColor
ctx.font = `${fontSize}px ${fontFamily}`
ctx.beginPath()
for (let x = minX, i = 0; x <= maxX; i++) {
let px = getCanvasX(x)
let text = formatNumber(x)
let textWidth = ctx.measureText(text).width
ctx.fillText(text,
Math.floor(px - (textWidth / 2)),
height - paddingBottom + fontSize + 5)
ctx.moveTo(px, paddingTop - 5)
ctx.lineTo(px, height - paddingBottom + 5)
x *= axisStepFactor(i, w)
}
if (data.xLabel) {
let textWidth = ctx.measureText(data.xLabel).width
ctx.fillText(data.xLabel, Math.floor((width / 2) - (textWidth / 2)), height - 20)
}
ctx.textAlign = 'center'
for (let y = minY, i = 0; y <= maxY; i++) {
let py = getCanvasY(y)
ctx.moveTo(paddingLeft - 5, py)
ctx.lineTo(width - paddingRight + 5, py)
ctx.save()
ctx.translate(paddingLeft - 10, py)
ctx.rotate(-Math.PI / 2)
ctx.fillText(formatNumber(y), 0, 0)
ctx.restore()
y *= axisStepFactor(i)
}
if (data.yLabel) {
ctx.save()
ctx.translate(15, Math.floor(height / 2))
ctx.rotate(-Math.PI / 2)
ctx.fillText(data.yLabel, 0, 0)
ctx.restore()
}
ctx.stroke()
// Draw Data
if (data.x && data.y) {
for (let i = 0; i < data.x.length; i++) {
let x = data.x[i], y = data.y[i], c = data.c[i]
if (x == null || y == null || Number.isNaN(x) || Number.isNaN(y))
continue
const s = 3
const px = getCanvasX(x)
const py = getCanvasY(y)
ctx.fillStyle = getRGB(c)
ctx.beginPath()
ctx.arc(px, py, s, 0, Math.PI * 2, false)
ctx.fill()
}
} else if (data.tiles) {
const rows = data.tiles.length
const cols = data.tiles[0].length
const tileWidth = Math.ceil(w / cols)
const tileHeight = Math.ceil(h / rows)
let max = data.tiles.reduce((max, row) =>
Math.max(max, row.reduce((max, val) =>
Math.max(max, val)), 0), 0)
if (max == 0)
max = 1
const tileColor = val => `rgba(255, 0, 0, ${(val / max)})`
for (let i = 0; i < rows; i++) {
for (let j = 0; j < cols; j++) {
let px = paddingLeft + (j / cols) * w
let py = paddingTop + (h - (i / rows) * h) - tileHeight
ctx.fillStyle = tileColor(data.tiles[i][j])
ctx.fillRect(px, py, tileWidth, tileHeight)
}
}
}
// Draw roofs
ctx.strokeStyle = 'black'
ctx.lineWidth = 2
ctx.beginPath()
if (cluster != null) {
const ycut = 0.01 * cluster.memoryBandwidth
const scalarKnee = (cluster.flopRateScalar - ycut) / cluster.memoryBandwidth
const simdKnee = (cluster.flopRateSimd - ycut) / cluster.memoryBandwidth
const scalarKneeX = getCanvasX(scalarKnee),
simdKneeX = getCanvasX(simdKnee),
flopRateScalarY = getCanvasY(cluster.flopRateScalar),
flopRateSimdY = getCanvasY(cluster.flopRateSimd)
if (scalarKneeX < width - paddingRight) {
ctx.moveTo(scalarKneeX, flopRateScalarY)
ctx.lineTo(width - paddingRight, flopRateScalarY)
}
if (simdKneeX < width - paddingRight) {
ctx.moveTo(simdKneeX, flopRateSimdY)
ctx.lineTo(width - paddingRight, flopRateSimdY)
}
let x1 = getCanvasX(0.01),
y1 = getCanvasY(ycut),
x2 = getCanvasX(simdKnee),
y2 = flopRateSimdY
let xAxisIntersect = lineIntersect(
x1, y1, x2, y2,
0, height - paddingBottom, width, height - paddingBottom)
if (xAxisIntersect.x > x1) {
x1 = xAxisIntersect.x
y1 = xAxisIntersect.y
}
ctx.moveTo(x1, y1)
ctx.lineTo(x2, y2)
}
ctx.stroke()
if (colorDots && data.x && data.y) {
// The Color Scale
ctx.fillStyle = 'black'
ctx.fillText('Time:', 17, height - 5)
const start = paddingLeft + 5
for (let x = start; x < width - paddingRight; x += 15) {
let c = (x - start) / (width - start - paddingRight)
ctx.fillStyle = getRGB(c)
ctx.beginPath()
ctx.arc(x, height - 10, 5, 0, Math.PI * 2, false)
ctx.fill()
}
}
}
function transformData(flopsAny, memBw, colorDots) {
const nodes = flopsAny.series.length
const timesteps = flopsAny.series[0].data.length
/* c will contain values from 0 to 1 representing the time */
const x = [], y = [], c = []
for (let i = 0; i < nodes; i++) {
const flopsData = flopsAny.series[i].data
const memBwData = memBw.series[i].data
for (let j = 0; j < timesteps; j++) {
const f = flopsData[j], m = memBwData[j]
const intensity = f / m
if (Number.isNaN(intensity) || !Number.isFinite(intensity))
continue
x.push(intensity)
y.push(f)
c.push(colorDots ? j / timesteps : 0)
}
}
return {
x, y, c,
xLabel: 'Intensity [FLOPS/byte]',
yLabel: 'Performance [GFLOPS]'
}
}
// Return something to be plotted. The argument shall be the result of the
// `nodeMetrics` GraphQL query.
export function transformPerNodeData(nodes) {
const x = [], y = [], c = []
for (let node of nodes) {
let flopsAny = node.metrics.find(m => m.name == 'flops_any' && m.metric.scope == 'node')?.metric
let memBw = node.metrics.find(m => m.name == 'mem_bw' && m.metric.scope == 'node')?.metric
if (!flopsAny || !memBw)
continue
let flopsData = flopsAny.series[0].data, memBwData = memBw.series[0].data
const f = flopsData[flopsData.length - 1], m = memBwData[flopsData.length - 1]
const intensity = f / m
if (Number.isNaN(intensity) || !Number.isFinite(intensity))
continue
x.push(intensity)
y.push(f)
c.push(0)
}
return {
x, y, c,
xLabel: 'Intensity [FLOPS/byte]',
yLabel: 'Performance [GFLOPS]'
}
}
</script>
<script>
import { onMount, tick } from 'svelte'
export let flopsAny = null
export let memBw = null
export let cluster = null
export let maxY = null
export let width
export let height
export let tiles = null
export let colorDots = true
export let data = null
console.assert(data || tiles || (flopsAny && memBw), "you must provide flopsAny and memBw or tiles!")
let ctx, canvasElement, prevWidth = width, prevHeight = height
data = data != null ? data : (flopsAny && memBw
? transformData(flopsAny, memBw, colorDots)
: {
tiles: tiles,
xLabel: 'Intensity [FLOPS/byte]',
yLabel: 'Performance [GFLOPS]'
})
onMount(() => {
ctx = canvasElement.getContext('2d')
if (prevWidth != width || prevHeight != height) {
sizeChanged()
return
}
canvasElement.width = width
canvasElement.height = height
render(ctx, data, cluster, width, height, colorDots, maxY)
})
let timeoutId = null
function sizeChanged() {
if (!ctx)
return
if (timeoutId != null)
clearTimeout(timeoutId)
prevWidth = width
prevHeight = height
timeoutId = setTimeout(() => {
if (!canvasElement)
return
timeoutId = null
canvasElement.width = width
canvasElement.height = height
render(ctx, data, cluster, width, height, colorDots, maxY)
}, 250)
}
$: sizeChanged(width, height)
</script>