feat:更新core 和首页代码

This commit is contained in:
R524809
2026-03-27 17:31:52 +08:00
parent dc5e057cb3
commit 1b45ba7d11
44 changed files with 2891 additions and 1087 deletions
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/**
* 纯数学工具(无随机、无平台依赖),供 generators / 模板引擎使用
*/
/** 将数值限制在 [min, max] */
export function clamp(value: number, min: number, max: number): number {
return Math.min(max, Math.max(min, value));
}
/** 最大公约数(非负整数) */
export function gcd(a: number, b: number): number {
let x = Math.abs(Math.trunc(a));
let y = Math.abs(Math.trunc(b));
while (y !== 0) {
const t = y;
y = x % y;
x = t;
}
return x || 1;
}
/** 最小公倍数 */
export function lcm(a: number, b: number): number {
const g = gcd(a, b);
return Math.abs(Math.trunc(a) * Math.trunc(b)) / g;
}
/** 闭区间 [min, max] 上的整数列表 */
export function integerRangeInclusive(min: number, max: number): number[] {
const lo = Math.min(min, max);
const hi = Math.max(min, max);
const out: number[] = [];
for (let i = lo; i <= hi; i += 1) {
out.push(i);
}
return out;
}
/** 数组求和 */
export function sum(numbers: readonly number[]): number {
let s = 0;
for (let i = 0; i < numbers.length; i += 1) {
s += numbers[i];
}
return s;
}
/** 算术平均(空数组为 0 */
export function mean(numbers: readonly number[]): number {
if (numbers.length === 0) return 0;
return sum(numbers) / numbers.length;
}
/** 各位数字之和(十进制,忽略负号) */
export function digitSum(n: number): number {
let v = Math.abs(Math.trunc(n));
let s = 0;
while (v > 0) {
s += v % 10;
v = Math.floor(v / 10);
}
return s;
}
export function isEven(n: number): boolean {
return n % 2 === 0;
}
export function isOdd(n: number): boolean {
return !isEven(n);
}
/**
* 将浮点数舍入到指定小数位(避免 0.1+0.2 展示问题)
*/
export function roundToDecimals(value: number, decimals: number): number {
const p = 10 ** decimals;
return Math.round(value * p) / p;
}