SuperminarenandClaude Sonnet 5.5
f7fa8cfbc1
- Sections and slides rewritten in Swedish; German law and institutions replaced by Swedish/CEPT/ITU equivalents (PTS, SSA, PTSFS 2025:1, SSMFS 2008:18), unverified statements marked "% TODO VERIFY" - New toc: INSTEG, HAREC, UPPGRADERING; section idents are Swedish (see ident-map.tsv) - Exam-question tags, BNetzA question pool, solutions and the German SWL course removed - Static pages, snippets, applets, READMEs and image alt-texts translated - TikZ labels translated; SVG drawings regenerated (drawing 689 still fails to build upstream: it references a missing photo) - Changed from the original: not endorsed by DARC e.V., SSA or PTS Co-Authored-By: Claude Sonnet 5.5 <[email protected]>
340 lines
13 KiB
HTML
340 lines
13 KiB
HTML
<style>
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.iq-pointer-applet {
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--iq-i-color: #168aad;
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--iq-q-color: #2a9d6f;
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--iq-vector-color: #d85a30;
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margin: 1rem 0;
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max-width: 100%;
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min-width: 0;
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box-sizing: border-box;
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}
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.iq-pointer-applet .iq-pointer-controls {
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display: grid;
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grid-template-columns: minmax(8rem, auto) minmax(10rem, 1fr) 4.5rem;
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gap: .65rem .8rem;
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align-items: center;
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margin-bottom: 1rem;
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}
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.iq-pointer-applet .iq-pointer-controls label {
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margin: 0;
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font-weight: 600;
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}
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.iq-pointer-applet .iq-pointer-controls output {
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text-align: right;
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font-variant-numeric: tabular-nums;
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}
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.iq-pointer-applet input[type="range"] { width: 100%; }
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.iq-pointer-applet .iq-pointer-toggle {
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grid-column: 1 / -1;
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justify-self: start;
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min-width: 14rem;
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}
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.iq-pointer-applet figure { margin: 0; }
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.iq-pointer-applet figcaption {
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margin-bottom: .4rem;
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font-size: .9rem;
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font-weight: 600;
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}
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.iq-pointer-applet canvas {
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display: block;
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width: 100%;
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aspect-ratio: 1.32 / 1;
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border: 1px solid var(--bs-border-color, #d8dde2);
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border-radius: .35rem;
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background: var(--bs-body-bg, #fff);
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}
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.iq-pointer-applet .iq-pointer-values {
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display: flex;
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flex-wrap: wrap;
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gap: .4rem 1.25rem;
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margin-top: .9rem;
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padding: .65rem .8rem;
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border-radius: .35rem;
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background: var(--bs-secondary-bg, #f3f5f7);
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font-variant-numeric: tabular-nums;
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}
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.iq-pointer-applet .iq-pointer-note {
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margin: .8rem 0 0;
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font-size: .9rem;
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}
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@media (min-width: 800px) {
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.course .iq-pointer-applet {
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width: 59.3%;
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}
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}
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@media (max-width: 650px) {
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.iq-pointer-applet .iq-pointer-controls {
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grid-template-columns: 1fr 4rem;
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}
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.iq-pointer-applet .iq-pointer-controls label,
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.iq-pointer-applet .iq-pointer-toggle { grid-column: 1 / -1; }
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.iq-pointer-applet canvas { aspect-ratio: 1 / 1.08; }
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}
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</style>
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<section class="iq-pointer-applet" aria-label="Visare med sinus- och cosinusprojektion">
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<div class="iq-pointer-controls">
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<label>Amplitud <var>A</var></label>
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<input data-iq-amplitude type="range" min="0" max="1" step="0.01" value="0.75"
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aria-label="Amplitud A">
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<output data-iq-amplitude-output>0,75</output>
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<label>Fas <var>φ</var></label>
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<input data-iq-phase type="range" min="-180" max="180" step="1" value="0"
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aria-label="Fas fi">
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<output data-iq-phase-output>0°</output>
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<button data-iq-toggle type="button" class="btn btn-outline-primary btn-sm iq-pointer-toggle"
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aria-pressed="false">Låt visaren rotera</button>
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</div>
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<figure>
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<figcaption data-iq-caption>Symbolens begynnelsetillstånd vid <var>t</var> = 0</figcaption>
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<canvas data-iq-diagram aria-label="Visare samt den sinus- och cosinussvängning som uppstår"></canvas>
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</figure>
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<div class="iq-pointer-values" aria-live="polite">
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<span><var>I</var> = <strong data-iq-i-value>0,75</strong></span>
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<span><var>Q</var> = <strong data-iq-q-value>0,00</strong></span>
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<span><var>A</var> = <strong data-iq-a-value>0,75</strong></span>
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<span><var>φ</var> = <strong data-iq-phi-value>0°</strong></span>
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</div>
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<p class="iq-pointer-note" data-iq-note>
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Vid <var>t</var> = 0 är den vågräta projektionen I-komponenten och den lodräta projektionen Q-komponenten.
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</p>
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<script>
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(function () {
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const applet = document.currentScript.closest('.iq-pointer-applet');
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const amplitudeInput = applet.querySelector('[data-iq-amplitude]');
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const phaseInput = applet.querySelector('[data-iq-phase]');
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const toggleButton = applet.querySelector('[data-iq-toggle]');
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const caption = applet.querySelector('[data-iq-caption]');
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const note = applet.querySelector('[data-iq-note]');
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const canvas = applet.querySelector('[data-iq-diagram]');
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let running = false;
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let timePhase = 0;
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let previousTime = performance.now();
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function color(name, fallback) {
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return getComputedStyle(applet).getPropertyValue(name).trim() || fallback;
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}
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function formatNumber(value) {
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const normalized = Math.abs(value) < .005 ? 0 : value;
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return normalized.toLocaleString('sv-SE', {
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minimumFractionDigits: 2,
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maximumFractionDigits: 2
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});
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}
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function setupCanvas() {
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const rect = canvas.getBoundingClientRect();
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const dpr = window.devicePixelRatio || 1;
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const pixelWidth = Math.round(rect.width * dpr);
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const pixelHeight = Math.round(rect.height * dpr);
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if (canvas.width !== pixelWidth || canvas.height !== pixelHeight) {
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canvas.width = pixelWidth;
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canvas.height = pixelHeight;
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}
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const ctx = canvas.getContext('2d');
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ctx.setTransform(dpr, 0, 0, dpr, 0, 0);
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return { ctx, width: rect.width, height: rect.height };
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}
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function line(ctx, x0, y0, x1, y1) {
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ctx.beginPath();
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ctx.moveTo(x0, y0);
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ctx.lineTo(x1, y1);
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ctx.stroke();
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}
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function arrow(ctx, x0, y0, x1, y1, strokeColor, width) {
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const angle = Math.atan2(y1 - y0, x1 - x0);
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const head = 9;
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ctx.strokeStyle = strokeColor;
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ctx.fillStyle = strokeColor;
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ctx.lineWidth = width;
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ctx.lineCap = 'round';
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line(ctx, x0, y0, x1, y1);
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ctx.beginPath();
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ctx.moveTo(x1, y1);
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ctx.lineTo(x1 - head * Math.cos(angle - Math.PI / 6), y1 - head * Math.sin(angle - Math.PI / 6));
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ctx.lineTo(x1 - head * Math.cos(angle + Math.PI / 6), y1 - head * Math.sin(angle + Math.PI / 6));
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ctx.closePath();
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ctx.fill();
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}
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function draw(amplitude, phase) {
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const { ctx, width, height } = setupCanvas();
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const compact = width < 540;
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const cx = width * (compact ? .27 : .275);
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const cy = height * (compact ? .245 : .29);
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const radius = Math.min(width * .19, height * (compact ? .145 : .205));
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const rightStart = cx + radius + (compact ? 16 : 28);
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const rightEnd = width - 18;
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const bottomStart = cy + radius + (compact ? 25 : 32);
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const bottomEnd = height - 24;
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const angle = phase + timePhase;
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const tipX = cx + radius * amplitude * Math.cos(angle);
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const tipY = cy - radius * amplitude * Math.sin(angle);
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const progress = (((timePhase % (2 * Math.PI)) + 2 * Math.PI) % (2 * Math.PI)) / (2 * Math.PI);
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const sineCursorX = rightStart + (rightEnd - rightStart) * progress;
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const cosineCursorY = bottomStart + (bottomEnd - bottomStart) * progress;
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const textColor = getComputedStyle(applet).color || '#263238';
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const gridColor = 'rgba(120,130,140,.38)';
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const axisColor = 'rgba(80,90,100,.75)';
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const iColor = color('--iq-i-color', '#168aad');
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const qColor = color('--iq-q-color', '#2a9d6f');
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const vectorColor = color('--iq-vector-color', '#d85a30');
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ctx.clearRect(0, 0, width, height);
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ctx.font = (compact ? '11px' : '13px') + ' system-ui, sans-serif';
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ctx.fillStyle = textColor;
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// I/Q-plan och cirkelbana
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ctx.strokeStyle = gridColor;
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ctx.lineWidth = 1;
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ctx.beginPath();
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ctx.arc(cx, cy, radius, 0, 2 * Math.PI);
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ctx.stroke();
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ctx.strokeStyle = axisColor;
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arrow(ctx, cx - radius - 10, cy, cx + radius + 14, cy, axisColor, 1);
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arrow(ctx, cx, cy + radius + 10, cx, cy - radius - 14, axisColor, 1);
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ctx.fillText('I', cx + radius + 16, cy - 7);
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ctx.fillText('Q', cx + 7, cy - radius - 13);
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// fasvinkel endast i begynnelsetillståndet
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if (!running && Math.abs(phase) > .02) {
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const angleRadius = radius * .27;
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ctx.strokeStyle = vectorColor;
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ctx.lineWidth = 1.5;
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ctx.beginPath();
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ctx.arc(cx, cy, angleRadius, 0, -phase, phase > 0);
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ctx.stroke();
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ctx.fillStyle = vectorColor;
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ctx.font = 'italic ' + (compact ? '12px' : '14px') + ' system-ui, sans-serif';
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ctx.fillText('φ', cx + angleRadius * 1.35 * Math.cos(phase / 2), cy - angleRadius * 1.35 * Math.sin(phase / 2));
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}
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// roterande visare
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if (amplitude > 0) arrow(ctx, cx, cy, tipX, tipY, vectorColor, 3);
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ctx.fillStyle = vectorColor;
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ctx.beginPath(); ctx.arc(tipX, tipY, 4.5, 0, 2 * Math.PI); ctx.fill();
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// sinussvängning åt höger: lodrät projektion
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ctx.strokeStyle = axisColor;
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arrow(ctx, rightStart, cy, rightEnd, cy, axisColor, 1);
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line(ctx, rightStart, cy + radius + 8, rightStart, cy - radius - 8);
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ctx.fillStyle = qColor;
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ctx.font = '600 ' + (compact ? '10px' : '12px') + ' system-ui, sans-serif';
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ctx.fillText('Q: sinus', rightStart, cy - radius - 13);
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ctx.strokeStyle = qColor;
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ctx.lineWidth = 2.5;
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ctx.beginPath();
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for (let p = 0; p <= Math.ceil(rightEnd - rightStart); p++) {
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const theta = 2 * Math.PI * p / (rightEnd - rightStart);
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const x = rightStart + p;
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const y = cy - radius * amplitude * Math.sin(phase + theta);
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p === 0 ? ctx.moveTo(x, y) : ctx.lineTo(x, y);
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}
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ctx.stroke();
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// cosinussvängning nedåt: vågrät projektion
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ctx.strokeStyle = axisColor;
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arrow(ctx, cx, bottomStart, cx, bottomEnd, axisColor, 1);
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line(ctx, cx - radius - 8, bottomStart, cx + radius + 8, bottomStart);
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ctx.fillStyle = iColor;
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ctx.font = '600 ' + (compact ? '10px' : '12px') + ' system-ui, sans-serif';
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ctx.fillText('I: cosinus', cx + radius + 13, bottomStart + 4);
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ctx.strokeStyle = iColor;
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ctx.lineWidth = 2.5;
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ctx.beginPath();
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for (let p = 0; p <= Math.ceil(bottomEnd - bottomStart); p++) {
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const theta = 2 * Math.PI * p / (bottomEnd - bottomStart);
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const x = cx + radius * amplitude * Math.cos(phase + theta);
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const y = bottomStart + p;
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p === 0 ? ctx.moveTo(x, y) : ctx.lineTo(x, y);
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}
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ctx.stroke();
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// projektioner av det aktuella ögonblicksvärdet
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ctx.setLineDash([5, 4]);
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ctx.lineWidth = 1.5;
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ctx.strokeStyle = qColor;
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line(ctx, tipX, tipY, sineCursorX, tipY);
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ctx.strokeStyle = iColor;
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line(ctx, tipX, tipY, tipX, cosineCursorY);
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ctx.setLineDash([]);
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ctx.fillStyle = qColor;
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ctx.beginPath(); ctx.arc(sineCursorX, tipY, 4, 0, 2 * Math.PI); ctx.fill();
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ctx.fillStyle = iColor;
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ctx.beginPath(); ctx.arc(tipX, cosineCursorY, 4, 0, 2 * Math.PI); ctx.fill();
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}
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function update() {
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const amplitude = Number(amplitudeInput.value);
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const phaseDegrees = Number(phaseInput.value);
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const phase = phaseDegrees * Math.PI / 180;
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const i = amplitude * Math.cos(phase);
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const q = amplitude * Math.sin(phase);
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draw(amplitude, phase);
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applet.querySelector('[data-iq-amplitude-output]').textContent = formatNumber(amplitude);
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applet.querySelector('[data-iq-phase-output]').textContent = phaseDegrees + '°';
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applet.querySelector('[data-iq-i-value]').textContent = formatNumber(i);
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applet.querySelector('[data-iq-q-value]').textContent = formatNumber(q);
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applet.querySelector('[data-iq-a-value]').textContent = formatNumber(amplitude);
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applet.querySelector('[data-iq-phi-value]').textContent = phaseDegrees + '°';
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}
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function setRunning(enabled) {
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running = enabled;
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timePhase = 0;
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toggleButton.setAttribute('aria-pressed', String(enabled));
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toggleButton.textContent = enabled ? 'Visa begynnelsetillstånd' : 'Låt visaren rotera';
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toggleButton.classList.toggle('btn-primary', enabled);
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toggleButton.classList.toggle('btn-outline-primary', !enabled);
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caption.innerHTML = enabled
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? 'Roterande visare och dess två projektioner'
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: 'Symbolens begynnelsetillstånd vid <var>t</var> = 0';
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note.innerHTML = enabled
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? 'De streckade linjerna förbinder visarens spets med de momentana värdena för båda svängningarna.'
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: 'Vid <var>t</var> = 0 är den vågräta projektionen I-komponenten och den lodräta projektionen Q-komponenten.';
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update();
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}
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function animate(now) {
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const delta = Math.min((now - previousTime) / 1000, .1);
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previousTime = now;
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if (running) timePhase = (timePhase + delta * Math.PI * .8) % (2 * Math.PI);
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update();
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requestAnimationFrame(animate);
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}
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amplitudeInput.addEventListener('input', update);
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phaseInput.addEventListener('input', update);
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toggleButton.addEventListener('click', function () { setRunning(!running); });
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new ResizeObserver(update).observe(applet);
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document.addEventListener('visibilitychange', function () { previousTime = performance.now(); });
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requestAnimationFrame(animate);
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})();
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</script>
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</section>
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