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a/prime-calculator/src/assets/vite.svg b/prime-calculator/src/assets/vite.svg new file mode 100644 index 0000000..5101b67 --- /dev/null +++ b/prime-calculator/src/assets/vite.svg @@ -0,0 +1 @@ +Vite diff --git a/prime-calculator/src/counter.js b/prime-calculator/src/counter.js new file mode 100644 index 0000000..12bf115 --- /dev/null +++ b/prime-calculator/src/counter.js @@ -0,0 +1,9 @@ +export function setupCounter(element) { + let counter = 0 + const setCounter = (count) => { + counter = count + element.innerHTML = `Count is ${counter}` + } + element.addEventListener('click', () => setCounter(counter + 1)) + setCounter(0) +} diff --git a/prime-calculator/src/main.js b/prime-calculator/src/main.js new file mode 100644 index 0000000..5827213 --- /dev/null +++ b/prime-calculator/src/main.js @@ -0,0 +1,69 @@ +import './style.css' +import { nextPrime } from './prime.js' + +document.querySelector('#app').innerHTML = ` +
+

素数计算器

+

输入任意整数，找出比它更大的第一个素数

+ +
+
+ + +
+ +
+
+` + +const input = document.querySelector('#numberInput') +const btn = document.querySelector('#calcBtn') +const result = document.querySelector('#result') + +function calculate() { + const raw = input.value.trim() + if (raw === '') { + showError('请输入一个整数') + return + } + + const n = parseInt(raw, 10) + if (isNaN(n)) { + showError('请输入有效的整数') + return + } + if (n < 0) { + showError('请输入非负整数') + return + } + if (n > Number.MAX_SAFE_INTEGER - 1000) { + showError('数字过大，超出计算范围') + return + } + + const prime = nextPrime(n) + showSuccess(n, prime) +} + +function showSuccess(n, prime) { + result.className = 'result success' + result.innerHTML = ` +
比 ${n.toLocaleString()} 大的第一个素数是
+
${prime.toLocaleString()}
+ ` +} + +function showError(msg) { + result.className = 'result error' + result.textContent = msg +} + +btn.addEventListener('click', calculate) +input.addEventListener('keydown', (e) => { + if (e.key === 'Enter') calculate() +}) diff --git a/prime-calculator/src/prime.js b/prime-calculator/src/prime.js new file mode 100644 index 0000000..b016835 --- /dev/null +++ b/prime-calculator/src/prime.js @@ -0,0 +1,59 @@ +/** + * Miller-Rabin deterministic primality test for integers up to 3.3 × 10^24. + * Using deterministic witnesses that cover all integers up to 3,317,044,064,679,887,385,961,981. + */ +function isPrime(n) { + if (n < 2) return false + if (n === 2 || n === 3 || n === 5 || n === 7) return true + if (n % 2 === 0 || n % 3 === 0 || n % 5 === 0) return false + + // Write n-1 as 2^r * d + let d = n - 1 + let r = 0 + while (d % 2 === 0) { + d /= 2 + r++ + } + + // Deterministic witnesses for n < 3,215,031,751 (covers all 32-bit integers) + const witnesses = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37] + + for (const a of witnesses) { + if (a >= n) continue + if (!millerRabinTest(n, d, r, a)) return false + } + return true +} + +function millerRabinTest(n, d, r, a) { + let x = modPow(BigInt(a), BigInt(d), BigInt(n)) + const bn = BigInt(n) + if (x === 1n || x === bn - 1n) return true + for (let i = 0; i < r - 1; i++) { + x = (x * x) % bn + if (x === bn - 1n) return true + } + return false +} + +function modPow(base, exp, mod) { + let result = 1n + base = base % mod + while (exp > 0n) { + if (exp % 2n === 1n) result = (result * base) % mod + exp = exp >> 1n + base = (base * base) % mod + } + return result +} + +export function nextPrime(n) { + let candidate = n + 1 + if (candidate < 2) candidate = 2 + // Ensure we start on an odd number (except 2) + if (candidate > 2 && candidate % 2 === 0) candidate++ + while (!isPrime(candidate)) { + candidate += candidate === 2 ? 1 : 2 + } + return candidate +} diff --git a/prime-calculator/src/style.css b/prime-calculator/src/style.css new file mode 100644 index 0000000..a1c4063 --- /dev/null +++ b/prime-calculator/src/style.css @@ -0,0 +1,164 @@ +:root { + --bg: #0f0f13; + --surface: #1a1a24; + --border: #2e2e3e; + --accent: #7c6af7; + --accent-glow: rgba(124, 106, 247, 0.3); + --text: #e2e2f0; + --text-muted: #7a7a9a; + --success: #4ade80; + --error: #f87171; + font-family: system-ui, 'Segoe UI', Roboto, sans-serif; + color-scheme: dark; +} + +* { + box-sizing: border-box; + margin: 0; + padding: 0; +} + +body { + background: var(--bg); + color: var(--text); + min-height: 100svh; + display: flex; + align-items: center; + justify-content: center; + padding: 20px; +} + +.container { + width: 100%; + max-width: 520px; + text-align: center; +} + +h1 { + font-size: 2.4rem; + font-weight: 700; + letter-spacing: -0.03em; + margin-bottom: 10px; + background: linear-gradient(135deg, #a78bfa, #60a5fa); + -webkit-background-clip: text; + -webkit-text-fill-color: transparent; + background-clip: text; +} + +.subtitle { + color: var(--text-muted); + font-size: 0.95rem; + margin-bottom: 32px; +} + +.card { + background: var(--surface); + border: 1px solid var(--border); + border-radius: 16px; + padding: 32px; +} + +.input-group { + display: flex; + gap: 10px; +} + +input[type='number'] { + flex: 1; + background: var(--bg); + border: 1px solid var(--border); + border-radius: 10px; + color: var(--text); + font-size: 1rem; + padding: 12px 16px; + outline: none; + transition: border-color 0.2s, box-shadow 0.2s; + -moz-appearance: textfield; +} + +input[type='number']::-webkit-inner-spin-button, +input[type='number']::-webkit-outer-spin-button { + -webkit-appearance: none; +} + +input[type='number']:focus { + border-color: var(--accent); + box-shadow: 0 0 0 3px var(--accent-glow); +} + +button { + background: var(--accent); + border: none; + border-radius: 10px; + color: #fff; + cursor: pointer; + font-size: 1rem; + font-weight: 600; + padding: 12px 24px; + transition: opacity 0.2s, transform 0.1s; + white-space: nowrap; +} + +button:hover { + opacity: 0.88; +} + +button:active { + transform: scale(0.97); +} + +.result { + margin-top: 28px; + padding: 20px; + border-radius: 10px; + border: 1px solid var(--border); +} + +.result.hidden { + display: none; +} + +.result.success { + background: rgba(74, 222, 128, 0.06); + border-color: rgba(74, 222, 128, 0.3); +} + +.result.error { + background: rgba(248, 113, 113, 0.08); + border-color: rgba(248, 113, 113, 0.3); + color: var(--error); + font-size: 0.95rem; +} + +.result-label { + color: var(--text-muted); + font-size: 0.9rem; + margin-bottom: 8px; +} + +.result-label .num { + color: var(--text); + font-weight: 600; +} + +.result-value { + color: var(--success); + font-size: 2.2rem; + font-weight: 700; + letter-spacing: -0.02em; +} + +@media (max-width: 480px) { + h1 { + font-size: 1.8rem; + } + .card { + padding: 20px; + } + .input-group { + flex-direction: column; + } + .result-value { + font-size: 1.8rem; + } +}