From de9f0d80fe22c40e7d5064a29616608da2d9758f Mon Sep 17 00:00:00 2001 From: DeDiamondPro <67508414+DeDiamondPro@users.noreply.github.com> Date: Fri, 15 Mar 2024 17:44:47 +0100 Subject: [PATCH] docs --- documentation/src/SUMMARY.md | 19 ++++-- documentation/src/ch-01-02-coordinate-system | 1 + .../src/ch02-01-coordinate-system.md | 17 +++++ ...rials.md => ch03-01-required-materials.md} | 0 documentation/src/ch04-00-building.md | 0 documentation/src/ch04-01-building-leg.md | 0 documentation/src/ch04-02-building-body.md | 0 .../src/ch04-02-inverse-kinematics-body.md | 37 ---------- documentation/src/ch04-03-wiring.md | 0 .../src/ch05-01-installing-software.md | 0 documentation/src/ch06-01-ros2-topics.md | 0 documentation/src/ch07-01-code-structure.md | 0 ...atics.md => ch08-00-inverse-kinematics.md} | 0 ....md => ch08-01-inverse-kinematics-legs.md} | 2 +- .../src/ch08-02-inverse-kinematics-body.md | 63 ++++++++++++++++++ .../src/img/Coordinate-System-XY.png | Bin 0 -> 261432 bytes .../src/img/Coordinate-System-XZ.png | Bin 0 -> 131180 bytes documentation/src/title-page.md | 8 +-- 18 files changed, 99 insertions(+), 48 deletions(-) create mode 100644 documentation/src/ch-01-02-coordinate-system create mode 100644 documentation/src/ch02-01-coordinate-system.md rename documentation/src/{ch02-01-required-materials.md => ch03-01-required-materials.md} (100%) create mode 100644 documentation/src/ch04-00-building.md create mode 100644 documentation/src/ch04-01-building-leg.md create mode 100644 documentation/src/ch04-02-building-body.md delete mode 100644 documentation/src/ch04-02-inverse-kinematics-body.md create mode 100644 documentation/src/ch04-03-wiring.md create mode 100644 documentation/src/ch05-01-installing-software.md create mode 100644 documentation/src/ch06-01-ros2-topics.md create mode 100644 documentation/src/ch07-01-code-structure.md rename documentation/src/{ch04-00-inverse-kinematics.md => ch08-00-inverse-kinematics.md} (100%) rename documentation/src/{ch04-01-inverse-kinematics-legs.md => ch08-01-inverse-kinematics-legs.md} (99%) create mode 100644 documentation/src/ch08-02-inverse-kinematics-body.md create mode 100644 documentation/src/img/Coordinate-System-XY.png create mode 100644 documentation/src/img/Coordinate-System-XZ.png diff --git a/documentation/src/SUMMARY.md b/documentation/src/SUMMARY.md index 35ff54c..fb880c2 100644 --- a/documentation/src/SUMMARY.md +++ b/documentation/src/SUMMARY.md @@ -3,10 +3,19 @@ [AQLARP](title-page.md) # Introduction - [Design Principles](ch01-01-design-principles.md) +- [Coordinate System](ch02-01-coordinate-system.md) # Building -- [Materials](ch02-01-required-materials.md) -# Documentation +- [Required Materials](ch03-01-required-materials.md) +- [Building](ch04-00-building.md) + - [Building The Legs](ch04-01-building-leg.md) + - [Building The Main Body](ch04-02-building-body.md) + - [Wiring](ch04-03-wiring.md) +- [Installing Software](ch05-01-installing-software.md) +# API +- [ROS2 topics](ch06-01-ros2-topics.md) +- [Code Structure](ch07-01-code-structure.md) +# Concepts explained -- [Inverse Kinematics](ch04-00-inverse-kinematics.md) - - [Inverse Kinematics Of The Legs](ch04-01-inverse-kinematics-legs.md) - - [Inverse Kinematics Of The Body](ch04-02-inverse-kinematics-body.md) \ No newline at end of file +- [Inverse Kinematics](ch08-00-inverse-kinematics.md) + - [Inverse Kinematics Of The Legs](ch08-01-inverse-kinematics-legs.md) + - [Inverse Kinematics Of The Body](ch08-02-inverse-kinematics-body.md) \ No newline at end of file diff --git a/documentation/src/ch-01-02-coordinate-system b/documentation/src/ch-01-02-coordinate-system new file mode 100644 index 0000000..1e0ca6a --- /dev/null +++ b/documentation/src/ch-01-02-coordinate-system @@ -0,0 +1 @@ +# diff --git a/documentation/src/ch02-01-coordinate-system.md b/documentation/src/ch02-01-coordinate-system.md new file mode 100644 index 0000000..b8c5e3a --- /dev/null +++ b/documentation/src/ch02-01-coordinate-system.md @@ -0,0 +1,17 @@ +# Defining AQLARP's coordinate system +Knowing AQLARP's coordinate system is import so you know what setting each axis will do. +Here are the definitions for it: +- X-axis: + - Increasing the value will make AQLARP move to the front + - Decreasing the value will make AQLARP move to the back +- Y-axis: + - Increasing the value will make AQLARP go up + - Decreasing the value will make AQLARP go down +- Z-axis: + - Increasing the value will make AQLARP go to the right + - Decreasing the value will make AQLARP go to the left + +The origin of these axis is where the leg is connected to the top joint, this is a per leg coordinate system. + +Below are some images to clarify what axis does what. +![](img/Coordinate-System-XY.png)![](img/Coordinate-System-XZ.png) \ No newline at end of file diff --git a/documentation/src/ch02-01-required-materials.md b/documentation/src/ch03-01-required-materials.md similarity index 100% rename from documentation/src/ch02-01-required-materials.md rename to documentation/src/ch03-01-required-materials.md diff --git a/documentation/src/ch04-00-building.md b/documentation/src/ch04-00-building.md new file mode 100644 index 0000000..e69de29 diff --git a/documentation/src/ch04-01-building-leg.md b/documentation/src/ch04-01-building-leg.md new file mode 100644 index 0000000..e69de29 diff --git a/documentation/src/ch04-02-building-body.md b/documentation/src/ch04-02-building-body.md new file mode 100644 index 0000000..e69de29 diff --git a/documentation/src/ch04-02-inverse-kinematics-body.md b/documentation/src/ch04-02-inverse-kinematics-body.md deleted file mode 100644 index 7fd522c..0000000 --- a/documentation/src/ch04-02-inverse-kinematics-body.md +++ /dev/null @@ -1,37 +0,0 @@ -# Inverse kinematic of the body -The inverse kinematics of the body is to transform pitch, roll and rotation into offsets for the x, y and z coordinate of a leg. -## Definitions -\\(l\\) length of the body - -\\(w\\) width of the body - -\\(pitch\\) desired pitch - -\\(roll\\) desired roll - -\\(rotation\\) desired rotation - -\\(rotation\\) desired rotation - -\\(m_{x}\\) leg movement x - -\\(m_{y}\\) leg movement y - -\\(m_{z}\\) leg movement z - -\\(x\\) x position of a leg relative to the center - -\\(z\\) z position of a leg relative to the center -## Pitch -The calculations for pitch are as follows: -$$m_{x} = \frac{l(1-\cos(pitch))}{2}$$ -$$m_{y} = \frac{l\sin(pitch)}{2}$$ -## Roll -The calculations for roll are as follows: -$$m_{z} = \frac{w(1-\cos(roll))}{2}$$ -$$m_{y} = \frac{w\sin(roll)}{2}$$ -## Rotation -The calculations for rotation are based on a [rotation matrix](https://en.wikipedia.org/wiki/Rotation_matrix). These calculations are as follows: - -$$m_{x} = (x \times \cos(rotation) - z \times \sin(rotation)) - x$$ -$$m_{z} = (x \times \sin(rotation) + z \times \cos(rotation)) - z$$ \ No newline at end of file diff --git a/documentation/src/ch04-03-wiring.md b/documentation/src/ch04-03-wiring.md new file mode 100644 index 0000000..e69de29 diff --git a/documentation/src/ch05-01-installing-software.md b/documentation/src/ch05-01-installing-software.md new file mode 100644 index 0000000..e69de29 diff --git a/documentation/src/ch06-01-ros2-topics.md b/documentation/src/ch06-01-ros2-topics.md new file mode 100644 index 0000000..e69de29 diff --git a/documentation/src/ch07-01-code-structure.md b/documentation/src/ch07-01-code-structure.md new file mode 100644 index 0000000..e69de29 diff --git a/documentation/src/ch04-00-inverse-kinematics.md b/documentation/src/ch08-00-inverse-kinematics.md similarity index 100% rename from documentation/src/ch04-00-inverse-kinematics.md rename to documentation/src/ch08-00-inverse-kinematics.md diff --git a/documentation/src/ch04-01-inverse-kinematics-legs.md b/documentation/src/ch08-01-inverse-kinematics-legs.md similarity index 99% rename from documentation/src/ch04-01-inverse-kinematics-legs.md rename to documentation/src/ch08-01-inverse-kinematics-legs.md index ac69fb1..69e722a 100644 --- a/documentation/src/ch04-01-inverse-kinematics-legs.md +++ b/documentation/src/ch08-01-inverse-kinematics-legs.md @@ -42,7 +42,7 @@ Then finally we can combine them by adding them together. $$A = A_{x} + A_{y}$$ $$B = B_{y}$$ $$C = C_{y} + C_{z}$$ -## In code +## Code After transforming all these calculations into code, we get this: ```py def calc_angles(leg, x, y, z): diff --git a/documentation/src/ch08-02-inverse-kinematics-body.md b/documentation/src/ch08-02-inverse-kinematics-body.md new file mode 100644 index 0000000..39bcde1 --- /dev/null +++ b/documentation/src/ch08-02-inverse-kinematics-body.md @@ -0,0 +1,63 @@ +# Inverse kinematic of the body +The inverse kinematics of the body is to transform pitch, roll and rotation into offsets for the x, y and z coordinate of a leg. +## Definitions +\\(l\\) length of the body + +\\(w\\) width of the body + +\\(pitch\\) desired pitch + +\\(roll\\) desired roll + +\\(rotation\\) desired rotation + +\\(rotation\\) desired rotation + +\\(m_{x}\\) leg movement x + +\\(m_{y}\\) leg movement y + +\\(m_{z}\\) leg movement z + +\\(x\\) x position of a leg relative to the center + +\\(z\\) z position of a leg relative to the center +## Pitch +The calculations for pitch are as follows: +$$m_{x} = \frac{l(1-\cos(pitch))}{2}$$ +$$m_{y} = \frac{l\sin(pitch)}{2}$$ +## Roll +The calculations for roll are as follows: +$$m_{z} = \frac{w(1-\cos(roll))}{2}$$ +$$m_{y} = \frac{w\sin(roll)}{2}$$ +## Rotation +The calculations for rotation are based on a [rotation matrix](https://en.wikipedia.org/wiki/Rotation_matrix). These calculations are as follows: + +$$m_{x} = (x \times \cos(rotation) - z \times \sin(rotation)) - x$$ +$$m_{z} = (x \times \sin(rotation) + z \times \cos(rotation)) - z$$ +## Combining Calculations +To combine these calculations you just calculate each one separately and then calculate the sum of all x calculations, then the sum of all y calculations and finally the sum of all z calculations. +## Code +After transforming these calculations into code, we get this: +```py +def calc_leg_offsets(leg, pitch, roll, rotation): + # Get the X and Z coordinate of the leg + x = (body_length / 2) if leg < 2 else -(body_length / 2) + z = -(body_width / 2) if leg == 0 or leg == 3 else (body_width / 2) + # Calculate the height difference of the leg to reach the target pitch + height_diff_pitch = x * sin(radians(pitch)) + # Calculate the height difference of the leg to reach the target roll + height_diff_roll = z * sin(radians(roll)) + # Calculate the X and Z offsets to keep the body centered + movement_x_pitch = x * (1 - cos(radians(pitch))) + movement_z_roll = z * (1 - cos(radians(roll))) + # Calculate the rotation offsets + movement_x_rotation = (x * cos(radians(rotation)) - z * sin(radians(rotation))) - x + movement_z_rotation = (x * sin(radians(rotation)) + z * cos(radians(rotation))) - z + # Merge the offsets and return them + return ( + movement_x_pitch + movement_x_rotation, + height_diff_pitch - height_diff_roll, + movement_z_roll + movement_z_rotation + ) +``` \ No newline at end of file diff --git a/documentation/src/img/Coordinate-System-XY.png b/documentation/src/img/Coordinate-System-XY.png new file mode 100644 index 0000000000000000000000000000000000000000..ec5c7f27001ba302138273455a82fecf67b9bb7d GIT binary patch literal 261432 zcmeFYXH-+&)+me>6v2Xmh=7WM0)m3n0I`B}=^dm-dJBY_phy=`DWN7RO?s0WAPNFf zBoyg{NDVcCPy(cV9DUC{Jn#4O{<>qFJx2E4YpycqntiRk67@_=h3({}lT1uZY^qNm z>oPGN+kZXE#BzN9(Uh?HX#a7-AAf4ulAq^ znh%(m%Hvt7*2kERP=BgEexUDnXoWUf>Y|!F8FhP{0BXW(-L-dk?4Zmk>8zVjs=U1NbD7Op!4v^67z%GIU`pJ)Lh;U zx^PCNNeBoFNM5t8-Dm`XaYNNE;}T{L(wLZj ztB2m$YobuZ4*eOgjSq7y=>tl1P#K4&0^i z{sRs@FHXO>M`02_dVuWTQY}#dXmrSq5bS?peBig{6}L>ty&c9=O}D1>zSr}Y7&Com-B+Ri zbB!F$ct!>|pJB`rQ3vU%RW#h3j{k@TUj08!nV7z={ythyEY;bU1Ww=}{O37K>iRb} zmJsU0x0HVjBRBMSm@EHie#U_@%0mxC9sn{e@#-J68S`&D zSW@q9k`En_8PiZG$8RWuvvps@|9~6Dtp1C*#D-gg%J*N8dvekpUq z(H)-?A_vH*iNCQI%Qi`N|6iO+iN~&R!A{X=kp~(xReC-gBU=gdl~O7H(6wKlhsP+T ziz~q0KpT|eUnYJH4}pjL>FmOZ%Ok9!OGQNKw7;AQiT(C>&Lb=?Le${g&Rzb| z#-qP8tzmay`t#<(4*akh0y;$hhjH*GFF-6qX|!b8|8P3Qj9ES8k4UAN#&6Stk<~Gb zA?|dv>L2{S4Zodx{;#(Xv$iJszTBo|%qO7nf9k##zv2%0^H%e8pY8E40LSi!Td|OC z5BxRL5Hlu8ravRQ!TEc)qhY7eXY9-@-TqLwX8P~WW^c9_nD(z?e_3sM=g0w(hTJ}W z_{tv?e{W`|j@~~|tiH$+a-isP_sm~>e_~4>i9HM>!9@H5m~7%HMn8+Y0bMH6F_@sZ6!(-&Q*-neI|f|EFR?e*8LHtf0t`;iFdwWl7_m9DX6SIJ zegloR0sezr^Gw$ZOx#=x#L@?EC|GX#`U?8A;R^1b-A5e`y{%Jy;HLR%2KMv-spd)I zFPV0*QjuObp0(xB3zUt6iOX+!mwjoKy{)#fCWJ=wFQ?GRO8-$dCJ)}G>xX~KI~;=6 ztj&a8Kr#Nu^ZptCcYP4|(fbZ;l}xbgiMD^RFEuFY=+~;Bhrj;=S{`I_^nQ3))df}` zpcf2XV;O0zJ`te8@?BM~VMKR))O#2kk7Lt#BMQb0d zVPy%~#G0LFKo5$jC_#K*2ouwyU;ifq`_m)D=kTGmp?z~W7}Shq&M*PotT})G!>a0E zGL3wDHNh4Q171IX&FwHt$O+DQxBFBI(?3oB(4jk1*ZgrbMUzUVor9MDJ2!+WrR6X- z4aC46%E1CY0#JXK#2?-v$$GY|p)z>_7s4UK6o#*8r z(LE1!JivCQva0{atN)t_{pgR-pF5Y+8M_xp!v2)ZSpO$E`l}HCO$q*+1pPPd`)`JQ z|F1jvbN_#IO~Jjtfi=N|WQ^k5sr~_e0ScF5#l)=4`G~RGmX=?*+Or(McR%&*j_$aC z!Qf3@f}EV(I=LZem((}zj&2ML2&k9L)Pn3ny{-Auf;VQTr>C_B?s0j=H{r05^ArBf zWF!)~f%9{Bceg3VLdaUa5J<4%OLN2cX z&_AcTTDUfS@$^C?`q(=FOiRqLhZcpJeF>OrS?HgdK#Z5Z%hA(f#n1Ol&P{?VfT`hY zyS0tka18&s)y4@dZykVtL@}_l-6AMA(1AF4%pwD|DeFy;0ssJTu}tw@DsO#dJA^?U zt;{1fk`dZ4E;O$ap0xC|xmv+QYsNXNX>f4z} zAb9vOV^?qbhyQZ3=OqFPOkRx|pG0P6R=ySF%5W3ow_4ovCY$m?$+Q>vAbkIm+3Qrd zStxtNC=P!Q;OiK`N3x69&?i9xes_*7E=*_3`Fp|wVC3DNjkb11T+Ghs=#+J!UqF+$ z(qyVeTdbmdpuOcP|K-ab6C>zHMuMl1c!^g3ss0sR()YQ!l$jMZdS6)JWt-G7Y-X*; 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the [MIT license](https://github.com/DeDiamondPro/AQLARP/blob/master/LICENSE). -

\ No newline at end of file +> **🚨 This documentation is incomplete** +> +> It is advisable to have a basic understanding of the parts of the robot to effectively address encountered issues. If you need help, feel free to open an issue on [AQLARP's GitHub](https://github.com/DeDiamondPro/AQLARP). However there is no gaurantee that I will be able to help you.