---
title: "数学 Math"
description: "噪声、缓动、随机与夹值"
---
---
title: 数学 Math
description: 噪声、缓动、随机与夹值
---
`sa` · 扩展 `CLEO+` · 需 CLEO + CLEO+
写法见 [Lua](/docs/cleo/syntax) / [Redux](/docs/cleo/syntax-redux)。
## 1D Perlin
1D Perlin simplex 噪声。
```text
0E03 PERLIN_NOISE
in: x
out: result
```
```lua
local n = perlinNoise(t)
```
```js
const result = Math.perlinNoise(x)
```
## 缓动
把 `k`（0–1）按 mode / way 做缓动，适合动画。
```text
0E1F EASE
in: k, mode, way
out: result
```
```lua
local e = ease(0.5, mode, way)
```
```js
const result = Math.ease(k, mode, way)
```
## 两点夹角
两点平面角。
```text
0E27 GET_ANGLE_FROM_TWO_COORDS
in: x1, y1, x2, y2
out: angle
```
```lua
local a = getAngleFromTwoCoords(x1, y1, x2, y2)
```
```js
const angle = Math.getAngleFromTwoCoords(x1, y1, x2, y2)
```
## Perlin fBm
1D Perlin 的 fBm 叠加。
```text
0E29 PERLIN_NOISE_FRACTAL
in: x, octaves, frequency, amplitude, lacunarity, persistence
out: result
```
```lua
local n = perlinNoiseFractal(t, 4, 1.0, 1.0, 2.0, 0.5)
```
```js
const result = Math.perlinNoiseFractal(x, octaves, frequency, amplitude, lacunarity, persistence)
```
## 百分比随机
约 `percent`% 概率为真。用在 `if` 里。
```text
0E4D RANDOM_PERCENT
in: percent
```
```lua
if randomPercent(25) then
end
```
```js
if (Math.randomPercent(percent)) {
}
```
## 带种子整数随机
`[min, max)`。
```text
0EBC GENERATE_RANDOM_INT_IN_RANGE_WITH_SEED
in: seed, min, max
out: randomInteger
```
```lua
local n = generateRandomIntInRangeWithSeed(seed, 0, 100)
```
```js
const randomInteger = Math.generateRandomIntInRangeWithSeed(seed, min, max)
```
## 带种子浮点随机
`[min, max)`。
```text
0EBD GENERATE_RANDOM_FLOAT_IN_RANGE_WITH_SEED
in: seed, min, max
out: randomFloat
```
```lua
local f = generateRandomFloatInRangeWithSeed(seed, 0.0, 1.0)
```
```js
const randomFloat = Math.generateRandomFloatInRangeWithSeed(seed, min, max)
```
## 2D Perlin fBm
```text
0EF1 PERLIN_NOISE_FRACTAL_2D
in: x, y, octaves, frequency, amplitude, lacunarity, persistence
out: result
```
```lua
local n = perlinNoiseFractal2D(x, y, 4, 1.0, 1.0, 2.0, 0.5)
```
```js
const result = Math.perlinNoiseFractal2D(x, y, octaves, frequency, amplitude, lacunarity, persistence)
```
## 3D Perlin fBm
```text
0EF2 PERLIN_NOISE_FRACTAL_3D
in: x, y, z, octaves, frequency, amplitude, lacunarity, persistence
out: result
```
```lua
local n = perlinNoiseFractal3D(x, y, z, 4, 1.0, 1.0, 2.0, 0.5)
```
```js
const result = Math.perlinNoiseFractal3D(x, y, z, octaves, frequency, amplitude, lacunarity, persistence)
```
## 线性插值
`a + (b-a)*t`。
```text
0EF3 LERP
in: a, b, t
out: result
```
```lua
local v = lerp(0.0, 1.0, 0.5)
```
```js
const result = native("LERP", a, b, t)
```
## 浮点夹值
浮点夹到 `[min, max]`。
```text
0EF4 CLAMP_FLOAT
in: float, min, max
out: clamped
```
```lua
local v = clampFloat(x, 0.0, 1.0)
```
```js
const clamped = Math.clampFloat(float, min, max)
```
## 整数夹值
整数夹到 `[min, max]`。
```text
0EF7 CLAMP_INT
in: integer, min, max
out: clamped
```
```lua
local v = clampInt(n, 0, 100)
```
```js
const clamped = Math.clampInt(integer, min, max)
```