Steam 社区 :: 指南 :: (EN) How to use【Back-and-Forth 2 Module [PO]】

商店页面

Cities: Skylines

全部讨论截图艺术作品实况直播视频创意工坊新闻指南评测

Cities: Skylines > 指南 > 98ColdDew 的指南

评价数不足

(EN) How to use【Back-and-Forth 2 Module [PO]】

由 98ColdDew 制作

I know this guide may be difficult to understand, you can just use Back-and-Forth 2 Module [PO] as "BAF module + rotation control'. This module's method to achieve multi-segment motion (calculate and set delay time) is troublesome now, but this is an attempt to future. I will learn how to create a list of key frame (like "Cinematic Camera Extended" mod) and control them by only one module.

奖励

创建者

98ColdDew
离线

发表于

更新日期

2021 年 10 月 3 日下午 2:00

2021 年 10 月 9 日上午 11:32

413	不重复访客数
5	当前收藏人数

指南索引

总览

1 UI

2 Single-Segment Motion (1 module)

3 Multi-Segment Motion (>1 module)

4 Speed Curve

留言

1 UI

Line 1

【Enabled : ON/OFF】Move/Pause
【Delete Module】Delete the module and remove effects on the current PO

Line 2

【1 - Delay】The delay time (seconds) for PO to start moving after pressing "start" button (game is running) (non-negative float number)
= 0 : start at once
> 0 : start after n second(s)
【N - Delay】The delay time (seconds) for PO to restart moving after it finishes one motion (game is running) (float number)
< 0 : no restart
= 0 : restart at once (Apply to Small Loop)
> 0 : restart after n second(s) (Apply to Big Loop)
(See chapter "3 Multi-Segment Motion (>1 module)")

Line 3, 4

【A (button)】Move PO to point A at once
【B (button)】Move PO to point B at once
【A】　　The time (seconds) (non-negative float number) PO rests at A
【A → B】The time (seconds) (non-negative float number) PO moves from A to B
【B】　　The time (seconds) (non-negative float number) PO rests at B
【B → A】The time (seconds) (non-negative float number) PO moves from B to A

Line 5

【( A → B　+　B → A ) times】The times of A → B and B → A in one motion (integer number)
< 1 : [1-Delay] + [A→B] + [B] + [B→A] + [A] + [A→B] + [B] + [B→A] + [A] + ... (countless)
= 1 : [1-Delay] + [A→B] 　　　　　　　　　　　　　　　　　　　 (+ [N-Delay] + [2nd motion] + ...)
= 2 : [1-Delay] + [A→B] + [B] + [B→A] 　　　　　　　　　　　　　(+ [N-Delay] + [2nd motion] + ...)
= 3 : [1-Delay] + [A→B] + [B] + [B→A] + [A] + [A→B] 　　　　　　 (+ [N-Delay] + [2nd motion] + ...)
= 4 : [1-Delay] + [A→B] + [B] + [B→A] + [A] + [A→B] + [B] + [B→A] (+ [N-Delay] + [2nd motion] + ...)
...

Line 6

【UNSET/Set A】Set point A's position and rotation (direction)
【UNSET/Set B】Set point B's position and rotation (direction)
【Start/Back】Start moving/Back to point A(only available after setting point A and B)

Line 7, 8

【Speed Curve】The speed curve of PO's single move
【→】average
【↗↘】from slow to fast to slow
【↗】from slow to fast
【↘】from fast to slow
(See chapter "4 Speed Curve")
【Rotation : +/-/ 】Forward/Reverse/No rotation(only available when the point A and B's directions are different)

Line 9

【Children in group follow motion : ON/OFF】
Children in group also move and use same parameters

2 Single-Segment Motion (1 module)

【Single-Segment Motion】means the PO is controlled by 1 BAF2 Module and it can only move between two points(single line segment).

Just add 1 BAF2 Module to the PO. User can use it like BAF1 module.

To achieve back-and-forth, change 【( A → B　+　B → A ) times】 from 1 to < 1 (0/-1/-2/...) and don't forget to change 【A】【A → B】【B】【B → A】.

Notice : 【( A → B　+　B → A ) times】< 1 and = 2 are different:
< 1 : 1-Delay + (AB + B + BA + A) + (AB + B + BA + A) + ...
= 2 : 1-Delay + (AB + B + BA) + N-Delay + (AB + B + BA) + N-Delay + ...
(A =【A】, B =【B】, AB =【A → B】, BA =【B → A】)

In【Single-Segment Motion】, 【1 - Delay】and【N - Delay】are NOT important.
If user wants to move the PO back-and-forth with no rest in one motion, but rest for a while between two motions, set【N - Delay】> 0.
【e.g.】
【1 - Delay】5　【N - Delay】10
【A】【A → B】【B】【B → A】
　0　　　 1　　　 0　　　2
【( A → B　+　B → A ) times】6
one motion = AB + BA + AB + BA + AB + BA = 1 + 2 + 1 + 2 + 1 + 2 = 9 (seconds)
all motion = 1-Delay + (one motion) + N-Delay + (one motion) + N-Delay + ...
= 5 + (9) + 10 + (9) + 10 + ...

3 Multi-Segment Motion (>1 module)

【Multi-Segment Motion】means the PO is controlled by more than 1 BAF2 module and it can move along a complicated path(multiple line segment).

ABBA=【( A → B　+　B → A ) times】
M1 = the 1st BAF2 module
M2 = the 2nd BAF2 module
M3 = the 3rd BAF2 module
...
M i = the i-th BAF2 module
...
M n = the n-th BAF2 module
【M i】= (AB × ABBA/2+ABBA%2) + (B × ABBA/2) + (BA × ABBA/2) + (A × (ABBA/2+ABBA%2-1)) (the time of the i-th BAF2 module finishes one motion)
【M】=【M1】+【M2】+【M3】+ ... +【M i】+ ... + 【M n】
M i【1 - Delay】=【M1】+【M2】+【M3】+ ... +【M i-1】
M i【N - Delay】=【M】-【M i】
【Big Loop】=【M】+【M】+【M】+ ... (n > 1) (Multi-Segment Motion)
【Small Loop】=【M1】+【M1】+【M1】+ ... (n = 1) (Single-Segment Motion)

【e.g.】
Here's a 2 segments motion with 3 points (a → b → c).
a = M1 point A
b = M1 point B = M2 point A
c = M2 point B

M1
【1 - Delay】0　【N - Delay】2
【A】【A → B】【B】【B → A】
　0　　　 1　　　 0　　　0
【( A → B　+　B → A ) times】1
M2
【1 - Delay】1　【N - Delay】1
【A】【A → B】【B】【B → A】
　0　　　 2　　　 0　　　0
【( A → B　+　B → A ) times】1

【M1】= (1 × 1/2+1%2) + (0 × 1/2) + (0 × 1/2) + (0 × (1/2+1%2-1)) = 1
【M2】= (2 × 1/2+1%2) + (0 × 1/2) + (0 × 1/2) + (0 × (1/2+1%2-1)) = 2
【M】= 1 + 2 = 3
M1【1 - Delay】= 0
M1【N - Delay】=【M】-【M1】= 3 - 1 = 2
M2【1 - Delay】=【M1】= 1
M2【N - Delay】=【M】-【M2】= 3 - 2 = 1

4 Speed Curve

　　　Back-and-Forth 1 x-t　　　　　　Back-and-Forth 2 x-t

x1 = t　　　　　　　　　　　　　　　　　　　　　x1 = t
x2 = 1.063 / (1 + ℯ^(-7 t + 3.4)) - 0.035　　　　　x2 = 4t³ (t < 0.5) 1 - 4(1 - t)³ (t > 0.5)
x3 = 1.0135 / (1 + ℯ^(-10 t + 5)) - 0.0067　　　　x3 = t²
　　　　　　　　　　　　　　　　　　　　　　　 x4 = 1 - (1 - t)²

　　　Back-and-Forth 1 v-t　　　　　　Back-and-Forth 2 v-t

v1 = 1　　　　　　　　　　　　　　　　　　　　 v1 = 1
v2 = 7.441ℯ^(-7 t + 3.4) / (ℯ^(-7 t + 3.4) + 1)²　　v2 = 12t² (t < 0.5) 12(1 - t)² (t > 0.5)
v3 = 10.135ℯ^(-10 t + 5) / (ℯ^(-10 t + 5) + 1)²　　v3 = 2t
　　　　　　　　　　　　　　　　　　　　　　　 v4 = 2(1 - t)

8 条留言

< >

ArchTeryx 2023 年 7 月 6 日上午 11:01

It had a huge amount of power, but like a lot of really powerful mods, it was also very complex. I've been using it, but mostly for simple motions, just a bit more complex then Back and Forth 1 could have done.

I look forward to the new module! Keyframe animation is far easier than math based - it's why computer animators switched to that system decades ago!

98ColdDew [作者] 2023 年 7 月 6 日上午 9:28

@ArchTeryx : Thanks for your explanation! Actually, this PO module is not a successful item. But I have a gift for you : I will release a new module, called "Motion Module [PO]", in this month(2023.07). The new module uses a keyframe list to achieve multi-segment motion and it is easier for players to use than BAF2. Just wait for it!

ArchTeryx 2023 年 7 月 5 日上午 9:10

For more complicated segmented movements (such as moving a train with a number of cars, or non-curcular paths) you need to get an equation for the curve you want to transit in terms of x and y, then use some physics (velocity = displacement/time) to get x vs. t and y vs. t, so you can fill in the time delays in each segment's modules.

It gets VERY complicated, VERY fast, even for someone with a math background like me.

The OP's graphs are an attempt to do some of this work; they show the displacement of x vs. t and y vs. t for a number of paths and velocities. It doesn't do much good to show the actual motion, though.

I mostly use it to move items in simple curves, or move two items at once on an object.

ArchTeryx 2023 年 7 月 5 日上午 9:06

I think I've finally figured out a simple way of explaining it. The original author gets way too deep into the math.

Say you want to direct a locomotive around a fixed radius curve of 10 meter radius. You will need two of these modules:

One for the x-direction (forward and back), and rotation.

One for the y-direction (up and down), no rotation required.

1-A becomes the start point of the locomotive. 1-B is the end point in the X direction and rotation of 90 degrees.

2-A is the start point of the locomotive.
2-B is the end point in the Y direction.

Delays and times to transit should be the same in both modules, or you'll get a parabola, not a circular curve.

This should allow the engine to transit the curve.

手を取り合ってこのま 2021 年 10 月 24 日上午 6:45

HD-信仰 2021 年 10 月 23 日上午 12:54

666666666666666

Mighty 2021 年 10 月 4 日下午 4:11

thanks for explaining so thoroughly. i think i understood some of those words

Jimboflow HR studio 2021 年 10 月 4 日上午 1:06

i felt like this is my math test

< >