A simple and efficient computing package for Genshin Impact gacha analysis

Overview

GGanalysisLite计算包

这个版本的计算包追求计算速度,而GGanalysis包有着更多计算功能。

GGanalysisLite包通过卷积计算分布列,通过FFT和快速幂加速卷积计算。

测试玩家得到的排名值rank的数学意义是:与抽了同样数量五星的其他玩家相比,测试玩家花费的抽数大于等于比例rank的玩家。rank的值在(0,1]上,值越高说明玩家越不幸运,达到1则说明达到了保底系统的极限。

安装方法

打开终端输入以下指令,安装完成后下载文件可以删除。

git clone https://github.com/OneBST/GGanalysisLite.git
cd GGanalysisLite
pip install .

卷积计算方法

采用的模型见我的B站专栏。通过卷积计算分布列。

卷积采用scipysignal.convolve()函数,由其自动根据规模选择使用FFT计算或是直接卷积。

当计算物品数量上升,获取分布列需要多次卷积时,朴素FFT计算复杂度接近,故采用快速幂进行加速,复杂度降为

用例

使用GenshinPlayer类添加玩家,初始化其抽卡情况,随后使用类函数输出rank

import GGanalysisLite as ggl

permanent_5 = 5			# 常驻祈愿五星数量
permanent_pull = 301	# 常驻祈愿恰好出最后一个五星时花费的抽数
character_5 = 14		# 角色祈愿五星数量
character_pull = 876	# 角色祈愿恰好出最后一个五星时花费的抽数
character_up_5 = 8		# 角色祈愿UP五星数量
character_up_pull = 876	# 角色祈愿恰好出最后一个UP五星时花费的抽数
weapon_5 = 2			# 武器祈愿五星数量
weapon_pull = 126		# 武器祈愿恰好出最后一个五星时花费的抽数

# 初始化玩家
player = ggl.GenshinPlayer(	p5=permanent_5,
                            c5=character_5,
                            u5=character_up_5,
                            w5=weapon_5,
                            p_pull=permanent_pull,
                            c_pull=character_pull,
                            u_pull=character_up_pull,
                            w_pull=weapon_pull)

# 查看常驻祈愿rank
print('常驻祈愿', player.get_p5_rank())

# 查看角色祈愿rank(考虑五星数量)
print('角色祈愿', player.get_c5_rank())

# 查看UP角色rank(考虑UP五星数量)
print('角色祈愿UP', player.get_u5_rank())

# 查看武器祈愿rank
print('武器祈愿', player.get_w5_rank())

# 查看综合rank(角色祈愿考虑五星数量)
print('综合', player.get_comprehensive_rank())

# 查看综合rank(角色祈愿考虑UP数量)
print('综合UP', player.get_comprehensive_rank_Up5Character())
Owner
一棵平衡树
一棵平衡树
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