428 lines
8.8 KiB
Markdown
428 lines
8.8 KiB
Markdown
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# 游戏数值模型文档
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本文档详细描述了游戏中所有数值计算的核心公式和设计理念。
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## 目录
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1. [设计原则](#设计原则)
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2. [角色属性系统](#角色属性系统)
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3. [装备属性系统](#装备属性系统)
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4. [词缀系统](#词缀系统)
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5. [怪物属性系统](#怪物属性系统)
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6. [经验与升级系统](#经验与升级系统)
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7. [战斗伤害计算](#战斗伤害计算)
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8. [经济系统](#经济系统)
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---
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## 设计原则
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### 1. 线性与指数平衡
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- **低等级（1-20）**：使用线性增长，确保新手体验平滑
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- **中等级（21-50）**：引入指数增长，增加挑战
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- **高等级（51+）**：指数加速，突出后期成就
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### 2. 边际收益递减
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- 属性越高，继续提升的成本越大
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- 防止某一项属性无限堆叠
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### 3. 有意义的多样性
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- 不同属性有不同用途，避免单一最优解
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- 词缀系统提供随机性和惊喜
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---
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## 角色属性系统
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### 基础属性
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| 属性 | 符号 | 默认值 | 说明 |
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|------|------|--------|------|
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| 力量 | STR | 10 | 影响攻击力 |
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| 敏捷 | AGI | 8 | 影响闪避、防御 |
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| 灵巧 | DEX | 8 | 影响暴击 |
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| 智力 | INT | 10 | 影响品质、魔法 |
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| 体质 | VIT | 10 | 影响生命、回复 |
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### 派生属性计算
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```javascript
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// 基础生命值
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HP = 100 + VIT × 10 + Level × 5
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// 基础耐力
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Stamina = 80 + VIT × 5 + Level × 3
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// 基础精神
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Sanity = 100 + INT × 3
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// 基础攻击力
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Attack = STR × 1.0 + Level × 2
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// 基础防御力
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Defense = AGI × 0.3 + VIT × 0.2 + Level
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// 基础暴击率 (%)
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CritRate = 5 + DEX × 0.3
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// 基础闪避率 (%)
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DodgeRate = AGI × 0.5
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```
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### 属性效果示例
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| 属性值 | 效果 |
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|--------|------|
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| STR 10 → 20 | 攻击力 +10 |
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| AGI 10 → 20 | 闪避 +5%，防御 +3 |
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| DEX 10 → 20 | 暴击 +3% |
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| VIT 10 → 20 | HP +100，回复 +0.5/秒 |
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| INT 10 → 20 | 装备品质期望 +5 |
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---
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## 装备属性系统
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### 装备品质
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品质范围：0-250，影响装备属性的百分比加成。
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| 品质范围 | 名称 | 倍率 | 颜色 |
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|----------|------|------|------|
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| 0-49 | 垃圾 | 0.5x | 灰色 |
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| 50-89 | 普通 | 1.0x | 白色 |
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| 90-129 | 优秀 | 1.2x | 绿色 |
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| 130-159 | 稀有 | 1.5x | 蓝色 |
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| 160-199 | 史诗 | 2.0x | 紫色 |
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| 200-250 | 传说 | 3.0x | 橙色 |
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### 装备最终属性计算
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```javascript
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// 品质倍率
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QualityMultiplier = 1 + (Quality - 100) × 0.01
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// 等级倍率（每级 +2%）
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LevelMultiplier = 1 + (ItemLevel - 1) × 0.02
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// 综合倍率
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TotalMultiplier = QualityMultiplier × LevelMultiplier
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// 最终伤害
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FinalDamage = BaseDamage × TotalMultiplier
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// 最终防御
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FinalDefense = BaseDefense × TotalMultiplier
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```
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### 装备品质示例
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以攻击力20的基础武器为例：
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| 品质 | 等级 | 最终攻击力 |
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|------|------|------------|
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| 100 (普通) | 1 | 20 |
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| 150 (优秀) | 1 | 30 |
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| 200 (史诗) | 1 | 40 |
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| 100 (普通) | 10 | 24 |
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| 150 (优秀) | 10 | 36 |
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| 200 (史诗) | 10 | 48 |
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---
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## 词缀系统
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### 词缀稀有度
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每件装备最多3个词缀，词缀数量和稀有度受品质影响。
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| 品质范围 | 最大词缀数 | 词缀稀有度倾向 |
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|----------|------------|----------------|
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| 0-89 | 0 | 无 |
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| 90-129 | 1 | 普通60%，稀有30% |
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| 130-159 | 2 | 稀有为主 |
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| 160-199 | 3 | 史诗为主 |
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| 200-250 | 3 | 传说9% |
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### 词缀属性
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词缀属性随物品等级缩放：
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```
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词缀最终值 = 词缀基础值 × (1 + (物品等级 - 1) × 0.1)
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```
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### 武器词缀示例
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| 名称 | 类型 | 基础值 | 稀有度 |
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|------|------|--------|--------|
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| 锋利 | 攻击+5% | 5 | 普通 |
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| 残暴 | 攻击+12% | 12 | 稀有 |
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| 弑神 | 攻击+25% | 25 | 传说 |
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| 锐利 | 暴击+3% | 3 | 普通 |
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| 致命 | 暴击+8% | 8 | 稀有 |
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| 烈焰 | 火伤+10 | 10 | 史诗 |
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### 防具词缀示例
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| 名称 | 类型 | 基础值 | 稀有度 |
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|------|------|--------|--------|
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| 坚固 | 防御+5% | 5 | 普通 |
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| 强化 | 防御+12% | 12 | 稀有 |
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| 铁壁 | 防御+25% | 25 | 史诗 |
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| 灵活 | 闪避+3% | 3 | 普通 |
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| 耐久 | 耐力+15 | 15 | 稀有 |
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| 不朽 | 生命+100 | 100 | 传说 |
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---
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## 怪物属性系统
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### 怪物等级缩放
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```javascript
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// 生命值缩放（每级 +12%）
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MonsterHP = BaseHP × 1.12^(Level - 1)
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// 攻击力缩放（每级 +8%）
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MonsterAttack = BaseAttack × 1.08^(Level - 1)
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// 防御力缩放（每级 +6%）
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MonsterDefense = BaseDefense × 1.06^(Level - 1)
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// 经验奖励缩放（每级 +10%）
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MonsterEXP = BaseEXP × 1.10^(Level - 1)
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```
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### 怪物等级范围
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怪物实际等级在基础等级 ±20% 范围内浮动：
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```javascript
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LevelVariance = BaseLevel × 0.2
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MinLevel = Max(1, BaseLevel - LevelVariance)
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MaxLevel = BaseLevel + LevelVariance
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```
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### 难度系数
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```javascript
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// 基础难度
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Difficulty = 1.0
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// 精英怪
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Elite: Difficulty = 1.5
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// Boss
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Boss: Difficulty = 2.0
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// 弱小怪
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Weak: Difficulty = 0.7
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```
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### 怪物属性示例
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以基础攻击10的怪物为例：
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| 等级 | HP | 攻击 | 防御 | 经验 |
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|------|-----|------|------|------|
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| 1 | 100 | 10 | 5 | 20 |
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| 5 | 157 | 14 | 7 | 29 |
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| 10 | 278 | 20 | 10 | 47 |
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| 20 | 872 | 43 | 17 | 122 |
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| 50 | 18403 | 184 | 74 | 5851 |
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---
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## 经验与升级系统
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### 角色升级经验
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```javascript
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// 所需经验 = 基础值 × 增长系数^(等级-1)
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ExpNeeded = 100 × 1.15^(Level - 1)
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```
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| 等级 | 所需经验 | 累计经验 |
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|------|----------|----------|
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| 1 | 100 | 0 |
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| 5 | 174 | 674 |
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| 10 | 352 | 2261 |
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| 20 | 1458 | 12674 |
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| 50 | 84049 | 424058 |
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### 战斗经验计算
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```javascript
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// 等级差调整
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LevelDiff = MonsterLevel - PlayerLevel
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if (LevelDiff > 5) {
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// 怪物高5级以上，额外奖励
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ExpMultiplier = 1 + (LevelDiff - 5) × 0.1
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} else if (LevelDiff < -5) {
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// 怪物低5级以上，大幅衰减
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ExpMultiplier = Max(0.1, 0.5 + (LevelDiff + 5) × 0.1)
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} else {
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// 等级相近，正常或小幅衰减
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ExpMultiplier = 1 + LevelDiff × 0.05
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}
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// 实际经验
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ActualExp = BaseExp × ExpMultiplier
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```
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### 经验衰减表
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| 玩家等级 vs 怪物等级 | 经验倍率 |
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|---------------------|----------|
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| +5级或更高 | 100%+ |
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| 相同等级 | 100% |
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| -3级 | 85% |
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| -5级 | 50% |
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| -10级 | 10% |
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### 技能经验
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```javascript
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// 技能经验衰减（等级越高越难升级）
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Decay = 0.95^(SkillLevel - 1)
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ActualExp = ActionExp × Decay
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```
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| 技能等级 | 经验衰减 | 获得100经验实际得到 |
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|----------|----------|-------------------|
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| 1 | 100% | 100 |
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| 5 | 81% | 81 |
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| 10 | 63% | 63 |
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| 20 | 36% | 36 |
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---
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## 战斗伤害计算
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### 普通伤害
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```javascript
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// 基础伤害
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BaseDamage = Attack - Defense × 0.5
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// 最小伤害保证（攻击力的20%）
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MinDamage = Attack × 0.2
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// 实际伤害
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ActualDamage = Max(MinDamage, BaseDamage)
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```
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### 暴击系统
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```javascript
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// 暴击判定
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IsCrit = Random(0, 100) < CritRate
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// 暴击伤害
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if (IsCrit) {
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CritDamage = BaseDamage × 1.5 // 基础暴击倍率
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// 可通过装备/技能提升
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}
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```
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### 命中系统
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```javascript
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// 实际命中率
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ActualHitRate = Clamp(5, 95, HitRate - DodgeRate)
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// 命中判定
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IsHit = Random(0, 100) < ActualHitRate
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```
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|||
|
|
### 伤害示例
|
|||
|
|
|
|||
|
|
| 攻击 | 防御 | 基础伤害 | 最小伤害 | 实际伤害 |
|
|||
|
|
|------|------|----------|----------|----------|
|
|||
|
|
| 20 | 5 | 17.5 | 4 | 17-18 |
|
|||
|
|
| 50 | 10 | 45 | 10 | 45 |
|
|||
|
|
| 50 | 30 | 35 | 10 | 35 |
|
|||
|
|
| 100 | 50 | 75 | 20 | 75 |
|
|||
|
|
| 30 | 40 | 10 | 6 | 10 |
|
|||
|
|
|
|||
|
|
---
|
|||
|
|
|
|||
|
|
## 经济系统
|
|||
|
|
|
|||
|
|
### 物品价值
|
|||
|
|
|
|||
|
|
```javascript
|
|||
|
|
// 出售价格
|
|||
|
|
SellPrice = BaseValue × QualityMultiplier × (1 + AffixCount × 0.15)
|
|||
|
|
|
|||
|
|
// 购买价格（商人倍率）
|
|||
|
|
BuyPrice = SellPrice × MerchantRate
|
|||
|
|
|
|||
|
|
// 商人收购价
|
|||
|
|
BuybackPrice = SellPrice × 0.3
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 商人类型
|
|||
|
|
|
|||
|
|
| 商人 | 出售倍率 | 收购倍率 |
|
|||
|
|
|------|----------|----------|
|
|||
|
|
| 普通商人 | 200% | 30% |
|
|||
|
|
| 黑市商人 | 250% | 50% |
|
|||
|
|
| 特殊商人 | 150% | 40% |
|
|||
|
|
|
|||
|
|
### 价值示例
|
|||
|
|
|
|||
|
|
以基础价值100的物品为例：
|
|||
|
|
|
|||
|
|
| 品质 | 词缀 | 出售价 | 购买价(普通) | 购买价(黑市) |
|
|||
|
|
|------|------|--------|-------------|-------------|
|
|||
|
|
| 100 | 0 | 100 | 200 | 250 |
|
|||
|
|
| 150 | 1 | 145 | 290 | 362 |
|
|||
|
|
| 200 | 2 | 250 | 500 | 625 |
|
|||
|
|
| 200 | 3 | 287 | 574 | 717 |
|
|||
|
|
|
|||
|
|
---
|
|||
|
|
|
|||
|
|
## 平衡性检查
|
|||
|
|
|
|||
|
|
### 攻击期望
|
|||
|
|
|
|||
|
|
玩家攻击期望 = 基础攻击 × (1 + 暴击率 × 暴击倍率)
|
|||
|
|
|
|||
|
|
例如：攻击100，暴击率20%，暴击倍率1.5
|
|||
|
|
```
|
|||
|
|
期望伤害 = 100 × (1 + 0.2 × 0.5) = 100 × 1.1 = 110
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 生存期望
|
|||
|
|
|
|||
|
|
玩家有效生命 = HP × (1 + 闪避率 / (1 - 闪避率))
|
|||
|
|
|
|||
|
|
例如：HP 1000，闪避30%
|
|||
|
|
```
|
|||
|
|
有效生命 = 1000 × (1 + 0.3 / 0.7) = 1000 × 1.43 = 1430
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### DPT（每回合伤害）
|
|||
|
|
|
|||
|
|
```javascript
|
|||
|
|
PlayerDPT = PlayerAttack × PlayerHitRate
|
|||
|
|
MonsterDPT = MonsterAttack × (1 - PlayerDodgeRate)
|
|||
|
|
|
|||
|
|
// 生存回合
|
|||
|
|
SurvivalTurns = PlayerHP / MonsterDPT
|
|||
|
|
|
|||
|
|
// 击杀回合
|
|||
|
|
KillTurns = MonsterHP / PlayerDPT
|
|||
|
|
|
|||
|
|
// 战斗评价
|
|||
|
|
if (KillTurns < SurvivalTurns) {
|
|||
|
|
// 玩家优势
|
|||
|
|
} else {
|
|||
|
|
// 怪物优势
|
|||
|
|
}
|
|||
|
|
```
|