diff --git a/.github/workflows/build_ghpages.yml b/.github/workflows/build_ghpages.yml
new file mode 100644
index 0000000..8f27d01
--- /dev/null
+++ b/.github/workflows/build_ghpages.yml
@@ -0,0 +1,35 @@
+name: Build GitHub Pages
+
+on:
+ push:
+ branches: ["main"]
+
+jobs:
+ build:
+
+ runs-on: ubuntu-latest
+
+ steps:
+ - name: Checkout code
+ uses: actions/checkout@master
+ with:
+ fetch-depth: 0
+
+ - name: Use Node.js 15.x
+ uses: actions/setup-node@v1
+ with:
+ node-version: 15.x
+
+ - run: git branch -D ghpages
+ continue-on-error: true
+
+ - run: git checkout -b ghpages
+ - run: rm .gitignore
+ - run: mv .gitignore.ghpages .gitignore
+ - run: npm ci
+ - run: npm run build
+ - run: git config user.name github-actions[bot]
+ - run: git config user.email github-actions[bot]@users.noreply.github.com
+ - run: git add -A
+ - run: git commit -m "build GitHub Pages"
+ - run: git push -f origin ghpages
\ No newline at end of file
diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000..f749449
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1,2 @@
+/node_modules/
+/.build/
\ No newline at end of file
diff --git a/.gitignore.ghpages b/.gitignore.ghpages
new file mode 100644
index 0000000..096746c
--- /dev/null
+++ b/.gitignore.ghpages
@@ -0,0 +1 @@
+/node_modules/
\ No newline at end of file
diff --git a/index.html b/index.html
new file mode 100644
index 0000000..8f52f10
--- /dev/null
+++ b/index.html
@@ -0,0 +1,27 @@
+
+
+
+
+
+
+
+ Vowel Analysis
+
+
+
+
+
+
+
+
+
+
+
+
+
+
\ No newline at end of file
diff --git a/package-lock.json b/package-lock.json
new file mode 100644
index 0000000..4d53f58
--- /dev/null
+++ b/package-lock.json
@@ -0,0 +1,2389 @@
+{
+ "name": "vowel-analysis",
+ "version": "1.0.0",
+ "lockfileVersion": 3,
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diff --git a/package.json b/package.json
new file mode 100644
index 0000000..e5428ff
--- /dev/null
+++ b/package.json
@@ -0,0 +1,26 @@
+{
+ "name": "vowel-analysis",
+ "version": "1.0.0",
+ "description": "",
+ "main": "index.js",
+ "type": "module",
+ "scripts": {
+ "build": "webpack --config webpack.config.cjs",
+ "dev": "webpack --config webpack.config.cjs --watch --mode development",
+ "start": "http-server -p 80",
+ "test": "echo \"Error: no test specified\" && exit 1"
+ },
+ "author": "",
+ "license": "ISC",
+ "devDependencies": {
+ "@babel/preset-typescript": "^7.22.15",
+ "@types/webrtc": "^0.0.36",
+ "babel-loader": "^9.1.3",
+ "babel-preset-solid": "^1.7.12",
+ "solid-js": "^1.7.12",
+ "solid-styled-components": "^0.28.5",
+ "typescript": "^5.2.2",
+ "webpack": "^5.88.2",
+ "webpack-cli": "^5.1.4"
+ }
+}
diff --git a/src/AnalysisChart.tsx b/src/AnalysisChart.tsx
new file mode 100644
index 0000000..27a3d21
--- /dev/null
+++ b/src/AnalysisChart.tsx
@@ -0,0 +1,147 @@
+import * as Solid from "solid-js"
+import { VowelSynth } from "./vowelSynth.ts"
+import { extractFormants } from "./formantExtractor.ts"
+import * as Data from "./data.ts"
+
+
+export function AnalysisChart(props: {
+ synth: VowelSynth,
+})
+{
+ let canvas: HTMLCanvasElement = undefined!
+ let canvasCtx: CanvasRenderingContext2D = undefined!
+
+
+ Solid.onMount(() => {
+ canvasCtx = canvas.getContext("2d")!
+ window.requestAnimationFrame(() => draw(props.synth, canvasCtx))
+ })
+
+ return
+}
+
+
+function mapValueToView(
+ x: number,
+ w: number)
+{
+ const min = Data.f1Min - 100
+ const max = Data.f2Max + 500
+ const p = (x - min) / (max - min)
+ const logScale = 10
+ const t = Math.log((logScale - 1) * p + 1) / Math.log(logScale)
+ const xMargin = 10
+ return xMargin + ((w - xMargin * 2) * t)
+}
+
+
+function draw(
+ synth: VowelSynth,
+ canvasCtx: CanvasRenderingContext2D)
+{
+ requestAnimationFrame(() => draw(synth, canvasCtx))
+
+ const pixelRatio = window.devicePixelRatio
+ const rect = canvasCtx.canvas.getBoundingClientRect()
+ const w =
+ Math.round(pixelRatio * rect.right) -
+ Math.round(pixelRatio * rect.left)
+ const h =
+ Math.round(pixelRatio * rect.bottom) -
+ Math.round(pixelRatio * rect.top)
+ canvasCtx.canvas.width = w
+ canvasCtx.canvas.height = h
+
+ const freqData = synth.getAnalyserData()
+
+ canvasCtx.save()
+ canvasCtx.translate(0.5, 0.5)
+
+ canvasCtx.fillStyle = "#eee"
+ canvasCtx.fillRect(0, 0, w, h)
+
+ const xMargin = 10
+
+ canvasCtx.lineWidth = 1
+ canvasCtx.strokeStyle = "#aaa"
+ canvasCtx.fillStyle = "#aaa"
+ canvasCtx.font = "0.75em Times New Roman"
+ canvasCtx.fillStyle = "#000"
+ canvasCtx.textAlign = "left"
+ canvasCtx.textBaseline = "top"
+ for (let freq = Data.f2Min + 500; freq <= Data.f2Max; freq += 500)
+ {
+ const x = Math.floor(mapValueToView(freq, w))
+
+ canvasCtx.beginPath()
+ canvasCtx.moveTo(x, 0)
+ canvasCtx.lineTo(x, h)
+ canvasCtx.stroke()
+ canvasCtx.fillText(freq + " Hz", x + 2, 2)
+ }
+
+ canvasCtx.lineWidth = 2
+ canvasCtx.strokeStyle = "#f20"
+ canvasCtx.beginPath()
+ for (let i = 0; i < freqData.length; i++)
+ {
+ const freq = i / freqData.length * (synth.ctx.sampleRate / 2)
+ if (freq < Data.f1Min - 100)
+ continue
+ if (freq > Data.f2Max + 500)
+ break
+
+ const v = freqData[i] / 255
+ const y = h - (v * h)
+ const x = mapValueToView(freq, w)
+
+ canvasCtx.moveTo(x, h)
+ canvasCtx.lineTo(x, y)
+ }
+ canvasCtx.stroke()
+
+ const timeData = synth.getAnalyserTimeData()
+
+ canvasCtx.lineWidth = 2
+ canvasCtx.strokeStyle = "#000"
+ canvasCtx.beginPath()
+ canvasCtx.moveTo(0, h / 2)
+ for (let i = 0; i < timeData.length; i++)
+ {
+ const y = h / 2 - (timeData[i] * h / 2)
+
+ const x =
+ xMargin + (
+ (w - xMargin * 2) *
+ (i / timeData.length))
+
+ canvasCtx.lineTo(x, y)
+ }
+ canvasCtx.lineTo(w, h / 2)
+ canvasCtx.stroke()
+
+ const formants = extractFormants(timeData, synth.ctx.sampleRate)
+ canvasCtx.lineWidth = 2
+ canvasCtx.strokeStyle = "#02f"
+ canvasCtx.globalAlpha = 0.75
+ canvasCtx.beginPath()
+ for (let i = 0; i < formants.length; i++)
+ {
+ const x = mapValueToView(formants[i], w)
+
+ canvasCtx.moveTo(x, 0)
+ canvasCtx.lineTo(x, h)
+ }
+ canvasCtx.stroke()
+
+ canvasCtx.globalAlpha = 1
+
+ canvasCtx.restore()
+}
\ No newline at end of file
diff --git a/src/VowelChart.tsx b/src/VowelChart.tsx
new file mode 100644
index 0000000..25bcbe4
--- /dev/null
+++ b/src/VowelChart.tsx
@@ -0,0 +1,238 @@
+import * as Solid from "solid-js"
+import { VowelSynth } from "./vowelSynth.ts"
+import * as Data from "./data.ts"
+//import * as Styled from "solid-styled-components"
+
+
+const logScale = 10
+
+
+export function VowelChart(props: {
+ synth: VowelSynth,
+})
+{
+ const state: State = {
+ canvas: undefined!,
+ ctx: undefined!,
+ synth: props.synth,
+ mouseDown: false,
+ mousePosNormalized: { x: 0, y: 0 },
+ }
+
+ const [width, setWidth] = Solid.createSignal(700)
+ const [height, setHeight] = Solid.createSignal(400)
+
+
+ Solid.onMount(() => {
+ state.ctx = state.canvas.getContext("2d")!
+
+ state.canvas.addEventListener("mousedown", (ev) => mouseDown(state, ev))
+ window.addEventListener("mousemove", (ev) => mouseMove(state, ev))
+ window.addEventListener("mouseup", (ev) => mouseUp(state, ev))
+ draw(state)
+ })
+
+
+ return
+}
+
+
+interface State
+{
+ canvas: HTMLCanvasElement
+ ctx: CanvasRenderingContext2D
+ synth: VowelSynth
+
+ mouseDown: boolean
+ mousePosNormalized: {
+ x: number,
+ y: number,
+ }
+}
+
+
+function updateMousePos(
+ state: State,
+ ev: MouseEvent)
+{
+ const rect = state.canvas.getBoundingClientRect()
+
+ const x = (ev.clientX - rect.x) / rect.width
+ const y = (ev.clientY - rect.y) / rect.height
+
+ state.mousePosNormalized = { x, y }
+
+ const f2 = mapViewToValue(1 - x, Data.f2Min, Data.f2Max)
+ const f1 = mapViewToValue(y, Data.f1Min, Data.f1Max)
+
+ console.log(f1.toFixed(0), f2.toFixed(0))
+
+ state.synth.setFrequencies(f1, f2)
+}
+
+
+function mapViewToValue(x: number, min: number, max: number)
+{
+ const p = (Math.pow(logScale, x) - 1) / (logScale - 1)
+ return min + (max - min) * p
+}
+
+
+function mapValueToView(x: number, min: number, max: number)
+{
+ const p = (x - min) / (max - min)
+ return Math.log((logScale - 1) * p + 1) / Math.log(logScale)
+}
+
+
+function mouseDown(
+ state: State,
+ ev: MouseEvent)
+{
+ ev.preventDefault()
+ state.mouseDown = true
+ state.synth.resume()
+ state.synth.setGain(1)
+ updateMousePos(state, ev)
+ draw(state)
+}
+
+
+function mouseMove(
+ state: State,
+ ev: MouseEvent)
+{
+ ev.preventDefault()
+ updateMousePos(state, ev)
+ draw(state)
+}
+
+
+function mouseUp(
+ state: State,
+ ev: MouseEvent)
+{
+ ev.preventDefault()
+ state.mouseDown = false
+ state.synth.setGain(0)
+ updateMousePos(state, ev)
+ draw(state)
+}
+
+
+const ipaVowels = [
+ { symbol: "i", f1: 255, f2: 2890 }, //f1: 262, f2: 2287 },
+ { symbol: "u", f1: 260, f2: 593 }, //f1: 304, f2: 878 },
+ { symbol: "a", f1: 1072, f2: 1449 }, //f1: 913, f2: 1506 },
+ { symbol: "o", f1: 500, f2: 800 }, //f1: 570, f2: 837 },
+ { symbol: "ɔ", f1: 664, f2: 907 }, //f1: 570, f2: 837 },
+ { symbol: "ɛ", f1: 709, f2: 2105 }, //f1: 527, f2: 1853 },
+ { symbol: "e", f1: 408, f2: 2253 },
+ { symbol: "ə", f1: 600, f2: 1200 },//f1: 544, f2: 1296 },
+ { symbol: "ɪ", f1: 347, f2: 2629 }, //f1: 391, f2: 1992 },
+ { symbol: "ʊ", f1: 434, f2: 1024 },
+ { symbol: "ʌ", f1: 731, f2: 1127 }, //f1: 633, f2: 1194 },
+ { symbol: "ɑ", f1: 970, f2: 984 }, //f1: 717, f2: 1094 },
+ { symbol: "æ", f1: 902, f2: 1730 }, //f1: 656, f2: 1730 },
+ { symbol: "y", f1: 252, f2: 2120 },
+]
+
+
+function draw(
+ state: State)
+{
+ const pixelRatio = window.devicePixelRatio
+ const rect = state.canvas.getBoundingClientRect()
+ const w =
+ Math.round(pixelRatio * rect.right) -
+ Math.round(pixelRatio * rect.left)
+ const h =
+ Math.round(pixelRatio * rect.bottom) -
+ Math.round(pixelRatio * rect.top)
+ state.canvas.width = w
+ state.canvas.height = h
+
+ // Clear background
+ state.ctx.save()
+ state.ctx.translate(0.5, 0.5)
+
+ state.ctx.clearRect(0, 0, w, h)
+ state.ctx.fillStyle = "#eee"
+ state.ctx.fillRect(0, 0, w, h)
+
+ // Draw invalid region
+ state.ctx.fillStyle = "#ccc"
+ state.ctx.beginPath()
+ state.ctx.moveTo(w, h)
+ for (let freq = Data.f2Min; freq <= Data.f1Max; freq += 100)
+ {
+ const x = w - mapValueToView(freq, Data.f2Min, Data.f2Max) * w
+ const y = mapValueToView(freq, Data.f1Min, Data.f1Max) * h
+ state.ctx.lineTo(x, y)
+ }
+ state.ctx.fill()
+
+ // Draw gradation lines
+ state.ctx.lineWidth = 1
+ state.ctx.strokeStyle = "#aaa"
+ state.ctx.fillStyle = "#aaa"
+ state.ctx.font = "0.75em Times New Roman"
+ state.ctx.fillStyle = "#000"
+ state.ctx.textAlign = "left"
+ state.ctx.textBaseline = "top"
+ for (let freq = Data.f2Min + 500; freq <= Data.f2Max; freq += 500)
+ {
+ const x = Math.floor(w - mapValueToView(freq, Data.f2Min, Data.f2Max) * w)
+ state.ctx.beginPath()
+ state.ctx.moveTo(x, 0)
+ state.ctx.lineTo(x, h)
+ state.ctx.stroke()
+ state.ctx.fillText(freq + " Hz", x + 2, 2)
+ }
+ state.ctx.textBaseline = "bottom"
+ for (let freq = Data.f1Min + 200; freq <= Data.f1Max; freq += 200)
+ {
+ const y = Math.floor(mapValueToView(freq, Data.f1Min, Data.f1Max) * h)
+ state.ctx.beginPath()
+ state.ctx.moveTo(0, y)
+ state.ctx.lineTo(w, y)
+ state.ctx.stroke()
+ state.ctx.fillText(freq + " Hz", 2, y - 2)
+ }
+
+ // Draw IPA symbols
+ state.ctx.font = "2em Times New Roman"
+ state.ctx.fillStyle = "#000"
+ state.ctx.textAlign = "center"
+ state.ctx.textBaseline = "middle"
+ for (const vowel of ipaVowels)
+ {
+ const x = Math.floor(w - mapValueToView(vowel.f2, Data.f2Min, Data.f2Max) * w)
+ const y = Math.floor(mapValueToView(vowel.f1, Data.f1Min, Data.f1Max) * h)
+ state.ctx.fillText(vowel.symbol, x, y)
+ }
+
+ // Draw mouse
+ if (state.mouseDown)
+ {
+ state.ctx.strokeStyle = "#048"
+ state.ctx.lineWidth = 2
+ state.ctx.beginPath()
+ state.ctx.arc(
+ state.mousePosNormalized.x * w,
+ state.mousePosNormalized.y * h,
+ 5,
+ 0,
+ Math.PI * 2)
+ state.ctx.stroke()
+ }
+
+ state.ctx.restore()
+}
\ No newline at end of file
diff --git a/src/data.ts b/src/data.ts
new file mode 100644
index 0000000..e829e94
--- /dev/null
+++ b/src/data.ts
@@ -0,0 +1,4 @@
+export const f1Min = 200
+export const f1Max = 1200
+export const f2Min = 500
+export const f2Max = 3500
\ No newline at end of file
diff --git a/src/formantExtractor.ts b/src/formantExtractor.ts
new file mode 100644
index 0000000..c31eaed
--- /dev/null
+++ b/src/formantExtractor.ts
@@ -0,0 +1,69 @@
+import { forwardLinearPrediction } from "./lpc.ts"
+import { findRoots, Complex } from "./roots.ts"
+
+
+export function extractFormants(
+ sample: Float32Array,
+ samplingFrequency: number)
+ : number[]
+{
+ //console.log("length", sample.length, "freq", samplingFrequency, "ratio", sample.length / samplingFrequency)
+ const sampleWindowed = sample.map((s, i) => s * hammingWindow(i, sample.length))
+ const sampleFiltered = preemphasisFilter(sampleWindowed)
+ //console.log(preemphasisFilter(new Float32Array([1, 1, 1, 1])))
+
+ const lpc = forwardLinearPrediction(sampleFiltered, 8)
+
+ const roots = findRoots(lpc)
+ .filter(c => c.imag >= 0)
+
+ const angles = roots
+ .map(c => Math.atan2(c.imag, c.real))
+
+ const frequencies = angles
+ .map(a => a * (samplingFrequency / (2 * Math.PI)))
+
+ const complexMagnitude = (c: Complex) => Math.sqrt(c.real * c.real + c.imag * c.imag)
+
+ const bandwidths = roots
+ .map(r => -0.5 * (samplingFrequency / (2 * Math.PI)) * Math.log(complexMagnitude(r)))
+
+ const formants = []
+ //console.log(frequencies.map(f => f.toFixed(0).padStart(4)), bandwidths.map(b => b.toFixed(0).padStart(4)))
+ for (let i = 0; i < angles.length; i++)
+ {
+ const frequency = frequencies[i]
+ const bandwidth = bandwidths[i]
+ //if (frequency > 90 && frequency < 3500 && bandwidth < 1000)
+ formants.push(frequency)
+ }
+
+ formants.sort((a, b) => a - b)
+ return formants
+}
+
+
+function hammingWindow(
+ n: number,
+ nMax: number)
+{
+ const a0 = 25 / 46
+ return a0 - (1 - a0) * Math.cos(2 * Math.PI * n / nMax)
+}
+
+
+function preemphasisFilter(
+ array: Float32Array)
+{
+ const result = new Float32Array(array.length)
+
+ const a0 = 1
+ const a1 = 0.63
+
+ result[0] = a0 * array[0]
+
+ for (let i = 1; i < array.length; i++)
+ result[i] = a0 * array[i] - a1 * result[i - 1]
+
+ return result
+}
\ No newline at end of file
diff --git a/src/lpc.ts b/src/lpc.ts
new file mode 100644
index 0000000..78c6054
--- /dev/null
+++ b/src/lpc.ts
@@ -0,0 +1,143 @@
+export function forwardLinearPrediction(
+ sample: Float32Array,
+ numCoeffs: number)
+{
+ // INITIALIZE R WITH AUTOCORRELATION COEFFICIENTS
+ const r = new Array(numCoeffs + 1).fill(0)
+ for (let i = 0; i <= numCoeffs; i++)
+ {
+ for (let j = 0; j <= sample.length - 1 - i; j++)
+ {
+ r[i] += sample[j] * sample[j + i]
+ }
+ }
+
+ // INITIALIZE Ak
+ const ak = new Array(numCoeffs + 1).fill(0)
+ ak[0] = 1
+
+ // INITIALIZE Ek
+ let ek = r[0]
+
+ // LEVINSON-DURBIN RECURSION
+ for (let k = 0; k < numCoeffs; k++)
+ {
+ // COMPUTE LAMBDA
+ let lambda = 0
+ for (let j = 0; j <= k; j++)
+ {
+ lambda -= ak[j] * r[k + 1 - j]
+ }
+
+ lambda /= ek
+
+ // UPDATE Ak
+ for (let i = 0; i <= (k + 1) / 2; i++)
+ {
+ const temp = ak[k + 1 - i] + lambda * ak[i]
+ ak[i] = ak[i] + lambda * ak[k + 1 - i]
+ ak[k + 1 - i] = temp
+ }
+
+ // UPDATE Ek
+ ek *= 1 - lambda * lambda
+ }
+
+ // ASSIGN COEFFICIENTS
+ return ak
+}
+
+
+/*void ForwardLinearPrediction( vector &coeffs, const vector &x )
+{
+ // GET SIZE FROM INPUT VECTORS
+ size_t N = x.size() - 1;
+ size_t m = coeffs.size();
+
+ // INITIALIZE R WITH AUTOCORRELATION COEFFICIENTS
+ vector R( m + 1, 0.0 );
+ for ( size_t i = 0; i <= m; i++ )
+ {
+ for ( size_t j = 0; j <= N - i; j++ )
+ {
+ R[ i ] += x[ j ] * x[ j + i ];
+ }
+ }
+
+ // INITIALIZE Ak
+ vector Ak( m + 1, 0.0 );
+ Ak[ 0 ] = 1.0;
+
+ // INITIALIZE Ek
+ double Ek = R[ 0 ];
+
+ // LEVINSON-DURBIN RECURSION
+ for ( size_t k = 0; k < m; k++ )
+ {
+ // COMPUTE LAMBDA
+ double lambda = 0.0;
+ for ( size_t j = 0; j <= k; j++ )
+ {
+ lambda -= Ak[ j ] * R[ k + 1 - j ];
+ }
+
+ lambda /= Ek;
+
+ // UPDATE Ak
+ for ( size_t n = 0; n <= ( k + 1 ) / 2; n++ )
+ {
+ double temp = Ak[ k + 1 - n ] + lambda * Ak[ n ];
+ Ak[ n ] = Ak[ n ] + lambda * Ak[ k + 1 - n ];
+ Ak[ k + 1 - n ] = temp;
+ }
+
+ // UPDATE Ek
+ Ek *= 1.0 - lambda * lambda;
+ }
+
+ // ASSIGN COEFFICIENTS
+ coeffs.assign( ++Ak.begin(), Ak.end() );
+}
+
+int main()
+{
+ vector original( 128, 0.0 );
+ for ( size_t i = 0; i < original.size(); i++ ){
+ original[ i ] = sin( i * 0.01 ) + 0.75 * sin( i * 0.03 )+ 0.5 * sin( i * 0.05 ) + 0.25 * sin( i * 0.11 );
+
+ }
+ for ( int i = 0; i < 128; i++ ){
+ printf( "Original: %.2d = %.6f\n", i, original[ i ] );
+ }
+ // GET FORWARD LINEAR PREDICTION COEFFICIENTS
+ vector coeffs( 4, 0.0 );
+ ForwardLinearPrediction( coeffs, original );
+
+ // PREDICT DATA LINEARLY
+ vector predicted( original );
+ size_t m = coeffs.size();
+ for ( size_t i = m; i < predicted.size(); i++ ){
+ predicted[ i ] = 0.0;
+ for ( size_t j = 0; j < m; j++ ){
+ predicted[ i ] -= coeffs[ j ] * original[ i - 1 - j ];
+
+ }
+
+ }
+ // CALCULATE AND DISPLAY ERROR
+ double error = 0.0;
+ for ( int i = m; i < predicted.size(); i++ ){
+ //printf( "Index: %.2d / Original: %.6f / Predicted: %.6f\n", i, original[ i ], predicted[ i ] );
+ double delta = predicted[ i ] - original[ i ];
+ error += delta * delta;
+
+ }
+ printf( "Forward Linear Prediction Approximation Error: %f\n", error);
+
+ for ( int i = 0; i < coeffs.size(); i++ ){
+ printf( "Coeff: %.2d = %.6f\n", i, coeffs[ i ] );
+ }
+
+ return 0;
+}
+*/
\ No newline at end of file
diff --git a/src/main.tsx b/src/main.tsx
new file mode 100644
index 0000000..145aa0a
--- /dev/null
+++ b/src/main.tsx
@@ -0,0 +1,53 @@
+import * as Solid from "solid-js"
+import * as SolidWeb from "solid-js/web"
+import * as Styled from "solid-styled-components"
+
+import { VowelSynth } from "./vowelSynth.ts"
+import { VowelChart } from "./VowelChart.tsx"
+import { AnalysisChart } from "./AnalysisChart.tsx"
+import { extractFormants } from "./formantExtractor.ts"
+
+
+const MyButton = Styled.styled("button")`
+ border-radius: 0.5em;
+ border: 1px solid buttonborder;
+
+ &:hover {
+ background-color: #fff;
+ }
+ &:active {
+ background-color: #666;
+ }
+`
+
+
+function Page()
+{
+ const synth = new VowelSynth()
+
+ return
+
+
+ Click and drag to synthesize vowel sounds.
+ The blue bars on the bottom chart indicate formant frequencies. (Work-in-progress)
+
+
+
+
+
+
+
+
+}
+
+
+SolidWeb.render(
+ Page,
+ document.getElementById("app")!)
\ No newline at end of file
diff --git a/src/roots.ts b/src/roots.ts
new file mode 100644
index 0000000..77a2891
--- /dev/null
+++ b/src/roots.ts
@@ -0,0 +1,99 @@
+export interface Complex
+{
+ real: number
+ imag: number
+}
+
+
+// Bairstow method, from: http://catc.ac.ir/mazlumi/jscodes/bairstow.php
+export function findRoots(coeff: number[])
+{
+ const result: Complex[] = []
+ const epsilon = 1e-6
+
+ const b = new Array(coeff.length).fill(0)
+ const c = new Array(coeff.length).fill(0)
+
+ let r = 0
+ let s = 0
+
+ while (coeff.length > 3)
+ {
+ const n = coeff.length
+
+ b[n - 1] = 1
+ b[n - 2] = 1
+
+ let budget = 100
+
+ while ((Math.abs(b[n - 1]) + Math.abs(b[n - 2])) > epsilon &&
+ budget > 0)
+ {
+ budget--
+
+ b[0] = coeff[0]
+ b[1] = coeff[1] + r * b[0]
+
+ for (let i = 2; i < n; i++)
+ b[i] = coeff[i] + r * b[i - 1] + s * b[i - 2]
+
+ c[0] = b[0]
+ c[1] = b[1] + r * c[0]
+
+ for (let i = 2; i < n - 1; i++)
+ c[i] = b[i] + r * c[i - 1] + s * c[i - 2]
+
+ const h =
+ (-b[n - 2] * c[n - 3] + b[n - 1] * c[n - 4]) /
+ (c[n - 3] * c[n - 3] - c[n - 2] * c[n - 4])
+
+ const k =
+ (-b[n - 1] * c[n - 3] + b[n - 2] * c[n - 2]) /
+ (c[n - 3] * c[n - 3] - c[n - 2] * c[n - 4])
+
+ r += h
+ s += k
+ }
+
+ result.push(...solveQuadratic(1, -r, -s))
+
+ coeff = b.slice(0, n - 2)
+ }
+
+ if (coeff.length == 3)
+ result.push(...solveQuadratic(coeff[0], coeff[1], coeff[2]))
+ else
+ result.push({ real: -coeff[1] / coeff[0], imag: 0 })
+
+ return result
+}
+
+
+function solveQuadratic(
+ a: number,
+ b: number,
+ c: number)
+ : [Complex, Complex]
+{
+ const det = b * b - 4 * a * c
+
+ if (det < 0)
+ {
+ const real = -b / (2 * a)
+ const imag = Math.sqrt(-det) / (2 * a)
+
+ return [
+ { real, imag: imag },
+ { real, imag: -imag },
+ ]
+ }
+ else
+ {
+ const detSqrRoot = Math.sqrt(det)
+
+ return [
+ { real: (-b + detSqrRoot) / (2 * a), imag: 0 },
+ { real: (-b - detSqrRoot) / (2 * a), imag: 0 },
+ ]
+ }
+}
\ No newline at end of file
diff --git a/src/vowelSynth.ts b/src/vowelSynth.ts
new file mode 100644
index 0000000..8b74ebc
--- /dev/null
+++ b/src/vowelSynth.ts
@@ -0,0 +1,122 @@
+export class VowelSynth
+{
+ ctx: AudioContext
+ nodeSource: OscillatorNode
+ nodeFormant1Filter: BiquadFilterNode
+ nodeFormant1Gain: GainNode
+ nodeFormant2Filter: BiquadFilterNode
+ nodeFormant2Gain: GainNode
+ nodeAnalyser: AnalyserNode
+ nodeAnalyserData: Uint8Array
+ nodeAnalyserTimeDomainData: Float32Array
+ nodeMicSrc?: MediaStreamAudioSourceNode
+ nodeMicFilter: BiquadFilterNode
+
+
+ constructor()
+ {
+ this.ctx = new AudioContext()
+
+
+ this.nodeAnalyser = this.ctx.createAnalyser()
+ this.nodeAnalyser.fftSize = 2048
+ this.nodeAnalyser.maxDecibels = -20
+ this.nodeAnalyser.minDecibels = -90
+ this.nodeAnalyser.smoothingTimeConstant = 0.8
+ this.nodeAnalyserData = new Uint8Array(this.nodeAnalyser.frequencyBinCount)
+ this.nodeAnalyserTimeDomainData = new Float32Array(this.nodeAnalyser.frequencyBinCount)
+
+ this.nodeMicFilter = this.ctx.createBiquadFilter()
+ this.nodeMicFilter.type = "lowpass"
+ this.nodeMicFilter.frequency.value = 3000
+ this.nodeMicFilter.Q.value = 25
+ this.nodeMicFilter.connect(this.nodeAnalyser)
+
+
+ this.nodeFormant1Gain = this.ctx.createGain()
+ this.nodeFormant1Gain.gain.value = 0
+ this.nodeFormant1Gain.connect(this.nodeAnalyser)
+ this.nodeFormant1Gain.connect(this.ctx.destination)
+
+ this.nodeFormant1Filter = this.ctx.createBiquadFilter()
+ this.nodeFormant1Filter.type = "bandpass"
+ this.nodeFormant1Filter.frequency.value = 0
+ this.nodeFormant1Filter.Q.value = 5
+ this.nodeFormant1Filter.connect(this.nodeFormant1Gain)
+
+
+ this.nodeFormant2Gain = this.ctx.createGain()
+ this.nodeFormant2Gain.gain.value = 0
+ this.nodeFormant2Gain.connect(this.nodeAnalyser)
+ this.nodeFormant2Gain.connect(this.ctx.destination)
+
+ this.nodeFormant2Filter = this.ctx.createBiquadFilter()
+ this.nodeFormant2Filter.type = "bandpass"
+ this.nodeFormant2Filter.frequency.value = 0
+ this.nodeFormant2Filter.Q.value = 5
+ this.nodeFormant2Filter.connect(this.nodeFormant2Gain)
+
+
+ this.nodeSource = this.ctx.createOscillator()
+ this.nodeSource.type = "sawtooth"
+ this.nodeSource.frequency.value = 120
+ this.nodeSource.connect(this.nodeFormant1Filter)
+ this.nodeSource.connect(this.nodeFormant2Filter)
+ this.nodeSource.start()
+ }
+
+
+ resume()
+ {
+ this.ctx.resume()
+ }
+
+
+ setGain(gain: number)
+ {
+ this.nodeFormant1Gain.gain.value = gain * 0.25
+ this.nodeFormant2Gain.gain.value = gain * 0.25 * 0.8
+ }
+
+
+ setFrequencies(formant1Freq: number, formant2Freq: number)
+ {
+ this.nodeFormant1Filter.frequency.value = formant1Freq
+ this.nodeFormant2Filter.frequency.value = formant2Freq
+ }
+
+
+ getAnalyserData(): Uint8Array
+ {
+ this.nodeAnalyser.getByteFrequencyData(this.nodeAnalyserData)
+ return this.nodeAnalyserData
+ }
+
+
+ getAnalyserTimeData(): Float32Array
+ {
+ this.nodeAnalyser.getFloatTimeDomainData(this.nodeAnalyserTimeDomainData)
+ return this.nodeAnalyserTimeDomainData
+ }
+
+
+ async openMic()
+ {
+ if (this.nodeMicSrc)
+ return
+
+ return new Promise((resolve, reject) => {
+
+ const callback = (stream: MediaStream) => {
+ this.nodeMicSrc = this.ctx.createMediaStreamSource(stream)
+ this.nodeMicSrc.connect(this.nodeMicFilter)
+ resolve()
+ }
+
+ navigator.getUserMedia(
+ { audio: true },
+ callback,
+ reject)
+ })
+ }
+}
\ No newline at end of file
diff --git a/tsconfig.json b/tsconfig.json
new file mode 100644
index 0000000..c88c858
--- /dev/null
+++ b/tsconfig.json
@@ -0,0 +1,13 @@
+{
+ "compilerOptions": {
+ "jsx": "preserve",
+ "jsxImportSource": "solid-js",
+ "module": "esnext",
+ "moduleResolution": "bundler",
+ "allowImportingTsExtensions": true,
+ "noEmit": true,
+ "target": "es2017",
+ "strictNullChecks": true,
+ "noImplicitAny": true
+ }
+}
\ No newline at end of file
diff --git a/webpack.config.cjs b/webpack.config.cjs
new file mode 100644
index 0000000..1537982
--- /dev/null
+++ b/webpack.config.cjs
@@ -0,0 +1,35 @@
+const path = require("path")
+
+module.exports = {
+ mode: "production",
+ devtool: "source-map",
+
+ entry: {
+ main: path.resolve(__dirname, "src/main.tsx"),
+ },
+
+ output: {
+ filename: "[name].js",
+ path: path.resolve(__dirname, ".build"),
+ publicPath: "/.build/"
+ },
+
+ module: {
+ rules: [
+ {
+ test: /\.(ts|tsx)$/,
+ exclude: /node_modules/,
+ use:
+ {
+ loader: "babel-loader",
+ options: {
+ presets: [
+ "@babel/preset-typescript",
+ "babel-preset-solid"
+ ]
+ }
+ }
+ }
+ ]
+ }
+}
\ No newline at end of file