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Incorrect formula for bleed stacking calculations with repeating effects
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Mô tả
Check version
- I'm running the latest version of Path of Building and I've verified this by checking the changelog
Check for duplicates
- I've checked for duplicate issues by using the search function of the issue tracker
Check for support
- I've checked that the calculation is supposed to be supported. If it isn't please open a feature request instead (Red text is a feature request).
What is the value from the calculation in-game?
Currently, when supported by gems like Multistrike or Ruthless, a bleeding attack calculates the average damage approximately as follows:
$M_a * \frac{ A + B * N}{N + 1}$
Where the base damage range is between A and B, with N potential stacks of bleed, and an average multiplier of $M_a$.
What is the value from the calculation in Path of Building?
Because the the damage dealt is always the maximum of the stacks, and we know which hits have the highest multipliers, a more accurate calculation would be better approximated as:
$M_x * \frac{ A + B * \frac{N}{R}}{\frac{N}{R} + 1}$
Where R is the repeat factor, and $M_x$ is the maximum damage multiplier.
This is because, of N consecutive hits, only a fraction of them will be from ones with the maximum multiplier.
How to reproduce the issue
Suppose an attack has a damage range of [100, 200], can stack bleed up to 10 times, and is linked with Multitstrike, which provides an average damage multiplier of 1.22, with a maximum of 1.44. The current calculation would result in:
$1.22 * \frac{ 100 + 200 * 10}{10 + 1} \approx 232.9$
The more accurate version would divide the number of stacks by the repeat factor, which in the case of Multistrike support is 3:
$1.44 * \frac{ 100 + 200 * \frac{10}{3}}{\frac{10}{3} + 1} \approx 254.77$
In this instance, the damage difference is roughly 9%. This issue is further compounded when considering more extreme examples, such as combining Ruthless support with Awakened Multistrike support, which only has its highest damage multiplier every 12th hit.
Character build code
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3U1iKTtQZWcTQqVylqtbVlttS35166isEkzNcey-qmj8pqqsvXac2TaByA58ULXrC8ilqmPqBt35rk92pJUcZOGvtu8NnCHfDPImcSYJ94Ic3KdNNtmy7fya8OD7LqNeeoR2sIHv0n8qxRWH7OXLJtVEtYM4HOGbvJvYxrOjE34CGl5zgJrgxeMHFsy269bZRZ1xkawbl1ps5Ls2C1JexvWbfxFmWVABS_oqpO-6yXbenE8X1zNmQ3NGT3Qp_xWBVSzp93bmEjaIWH4-ciZKMpX1nLMXYTMWQzaMzb5bFiSL6Ws9swA-Sp6ueNFzybHyF86W03NVZDih9eUhHgzw-0k1AZ8exI9CnXS7J-3b8_uTlKXPkjdTBQs6hk5CPBDPbZWmB8d4gAIQ8UPIqY9r9w57Tm52WEQdNyyFdjY3PI-V4MzvlUH6QAMrcDCv8kAn31mAh36zu2Wgki8OvVCH6-Kn57XlfMWDLg_Fzw_aNIySt7rLoGB0LIJgSzlTZg9V5LjTttKdja8R4Dtw4QqnRPiKwYRZzsCxOE3JXs9KxYJv0oPaUhhJyV7k501lmPmXlxa507ZSXk2--rTkVd5WKr6YRaeL3LypDPPsqwCLALNm3wPvlkI6cVnuyfoc1pXvJcEOeTMjKAN4CfUlfa9wEfA6GrEgu1MGqZkdkIYvsidrL-Wr5OMlC27CllK2JF_lyLMmLaX8uvBtioVqlL9TsqgtQSQtZVizF8HzzLytZBekY-yC-3lbKSdko-CC_WljqSThTzs_-Y79slIs39waMPliwg70wm8ibA-z_LWEUojJum4pX9K2Qnb-nFgR9x1_f2I7EMy47RAw8coj9F5MJnplpxBYvzpswKA_VhWw2a3tsPB0P3tIpIxBG7QqkQTlsXi1r2Ro-jgd_6DUyxzlN7YHgrHorOykpxBp9vmKM0Zd_P6i724HuPxFre3shPU69ewOfnenVKgXIuFXe-IJYGWKXednrbCkSBcSR_gc8lTo46un9hMG0S24JPfi6WTCvLn2NgthLk3TscDlvjuC6aQfRAL7jv9LADOG5PaVD6M12oKCs4vkEwW4YBB--P74I36JS28QXRcVWdUMWa8l7embqmr2jYR-FOC6H299Oq7tq4Q0TF1TFYkQ3dDTt19hEtpxoJ-DJITnK9ejg-VP3v4fe0idiw==
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Hướng nghiên cứu
Không có tệp nguồn hoặc test nào được nêu. Hãy bắt đầu bằng cách xác định phép tính cộng dồn bleed và phần xử lý repeat-multiplier, sau đó tái hiện ví dụ Multistrike từ issue. Được xem là hoàn tất khi phép tính phản ánh multiplier tối đa và hệ số lặp, bao gồm cả các ví dụ đã nêu.
Do mô hình lập chỉ mục viết ra từ nội dung của issue.
Đánh giá
- Công nghệ
- lua
- Lĩnh vực
- game-dev
- Loại issue
- Lỗi
- Độ khó
- 4/5
- Thời gian dự kiến
- 3-5 ngày
- Mức độ hoạt động
- Đình trệ
- Độ rõ ràng
- Khá rõ ràng
- Mức phù hợp với người mới
- 35/100