From e39132b9f43220b442d8f630e724f74870b540ac Mon Sep 17 00:00:00 2001 From: HuanWeng Date: Mon, 3 Sep 2018 17:38:37 -0500 Subject: [PATCH] Modify README's and update docs --- README.md | 8 +++++++- doc/MRlib.pdf | Bin 192092 -> 191880 bytes doc/MRlib.tex | 29 ++++++++++++++++------------- packages/Mathematica/README.md | 10 +++------- packages/Matlab/README.md | 14 +++++--------- packages/Python/README.md | 8 ++------ 6 files changed, 33 insertions(+), 36 deletions(-) diff --git a/README.md b/README.md index 5407920..01c2a4a 100644 --- a/README.md +++ b/README.md @@ -1,7 +1,13 @@ # Modern Robotics: Mechanics, Planning, and Control # Code Library -This repository contains the code library accompanying _Modern Robotics: Mechanics, Planning, and Control_. The functions are available in: +This repository contains the code library accompanying [_Modern Robotics: +Mechanics, Planning, and Control_](http://modernrobotics.org) (Kevin Lynch +and Frank Park, Cambridge University Press 2017). The +[user manual](/doc/MRlib.pdf) is in the doc directory. + +The functions are available in: + * Python * MATLAB * Mathematica diff --git a/doc/MRlib.pdf b/doc/MRlib.pdf index cb02c6312bc330d2819bdea85421b3e7fd4fbd02..764b3635f254e3409a1d2abeb0d3f7ba4188ed76 100644 GIT binary patch delta 177323 zcmZs?Q*fYNz$O^mwrzE6TOHfz*v=cS()caijUa)X(!X>YKAt47i-q-pzL2 z*>WCb*4E0D!6g~tvLZ7|Z)*5|x)Rk^Ksz5DK6166S)r8ZtU1*_%J-g#`EH}XWc&okB8_j6-KrU-{_4Mqd-v3@m8)FqZ`q;Glc1oJ z`u~{{Xe_gA;eZ?TMInpVKFyfA+i(68nNUE zm|*jEu+cZcJcblx}WsU-dr0X^(w zQ3#_^AeFtN7N`4~3d9qm(5ES>K@QBa*v(#|BmnS&hSHBocD)ZtkWM-xXjl%H!<;Su zqMqcO+)u|Jj>|+uHxKG+=NbVy5KIk@5rLRvkkA@Xf#$%X3d=WmSXtr|;=-ICS>M1; zN$0`LoOx)prlf;#el1zqp3RjBtojPe3h7qfv$ttVX}f#!_UIz+1-KR}!(gaLfB(Q1 zF)CYBW0c&g6T#b>e*63LNOYBmLxzR<)eV=$ln>e$zx1)z>%I|ZS}Pz4G7z?a>eOI{ z!Jr~t2z|^~+^x7GUV;)lFfz5o|IB3A=j%2K0jr`Z!ckXRI-Ik`@?^26&(&J0I=Tg7 zWK0D*kJGc#`gdN7EFgkYL87?rk_+c9bFCFHRsH#l^D({k<8dd`!p2P9I+|5D!LGX9 z?L-58AxI%W_NB~i>g`DyW>QW 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zo{)Cr?T_soJbOtTvDN}_kt;)!lFp;-3*X)&vv}~Ale~DcBNuLM97JUGJ!;-~3vUWi zGAFosu5Zi$AaqqcRri6&em!liWj<)U~+_tZv zKkm71fS`5BT;6?yiX4ZRLckVGA3X*X>_!`NWEOtKbptzL-|sjmwAnxMP5Rij1DKF3Mr{s4k^bWQ__Tj701a{p zUET_%AmBe_V`((iQ0uxt%QrzV7JTs>9S(mq0)GP&tUnJ=-{ZU){dl<6FI6F7`RX5{ zh_mx5i{Nw`{DxBJl~bmZ#81__s2{m(&gXU?Fuya@9Z6?5@a3$(^cL5NJBm5JODO^0 zEa$HdEPoO<$M>^=f|hpi8V`dbyQddEKk$&XUvXj zody`S#>4`}ArFm^50xW8wOvQ~R$AB6V!Ax{tSAHSlPakdC$)AC`qP?tJC3w&r#sD* zZVBF{^(RGWg)BJx!E0m$dM71Wf_hi~0`p19Vuf2Imj9JBt z6t!Pb$bKx#HEuM=|hhj0bk=* zR6)w(hZclu2s1=b?}l*&PiY%n4j|(g2#ow2GroRrGF)YrIZjHTVfiw1Z-0TJcuyVp zLBGZQmc$Y80ty|#eq;DP+MVxkvGqz1%?3t!aY0(-DKRr&?Xj^9Xbl|{SjanoPE(tE z@mUAl^Q8bTqGl^RQrtIwXzU~!1FmW0$ (the determinant of $mat$ should be $1$ if $mat \in SO(3)$), this distance is calculated as $\|mat^\trans mat -I\|_F$, where $\| \cdot \|_F$ is the Frobenius norm of a matrix, the square root of the sum of the squares of the absolute values of the elements of the matrix. If the determinant is not positive, a large value is returned. } +{\item \verb~mat~: A $3 \times 3$ matrix $M$.} +{\item \verb~d~: A measure of the distance from $M$ to $SO(3)$, the space of rotation matrices. If ${\rm det}(M)>0$ (the determinant of $M$ should be $1$ if $M \in SO(3)$), this distance is calculated as $\|M^\trans M -I\|_F$, since $M^\trans M$ should be the identity matrix if $M\in SO(3)$. The Frobenius norm $\| \cdot \|_F$ of a matrix is the square root of the sum of the squares of the absolute values of the elements of the matrix. If the determinant is not positive, a large value is returned. } {} \end{function} \begin{function} %TestIfSO3 {judge = TestIfSO3(mat)} -{\item \verb~mat~: A $3 \times 3$ matrix $mat$.} -{\item \verb~judge~: $1$ (True) if $mat$ is a rotation matrix (an element of $SO(3)$) and $0$ (False) otherwise. This function calls \verb~DistanceToSO3(mat)~ and tests if the returned distance is smaller than a small value (which you should feel free to change to suit your purposes).} +{\item \verb~mat~: A $3 \times 3$ matrix $M$.} +{\item \verb~judge~: $1$ (True) if $M$ is a rotation matrix (an element of $SO(3)$) and $0$ (False) otherwise. This function calls \verb~DistanceToSO3(mat)~ and tests if the returned distance is smaller than a small value (which you should feel free to change to suit your purposes).} {} \end{function} \begin{function} %ProjectToSO3 {R = ProjectToSO3(mat)} -{\item \verb~mat~: A $3 \times 3$ matrix $mat$.} -{\item \verb~R~: The closest rotation matrix (element of $SO(3)$) to $mat$. This function is only appropriate for matrices $mat$ that are ``close'' to $SO(3)$. For example, $mat$ could be the result of a long series of multiplications of rotation matrices, which has caused the result to drift slightly away from satisfying the conditions of $SO(3)$ (${\rm det}(mat) = 1, mat^\trans mat = I$) due to roundoff errors.} +{\item \verb~mat~: A $3 \times 3$ matrix $M$.} +{\item \verb~R~: The closest rotation matrix (element of $SO(3)$) to $M$. This function is only appropriate for matrices $M$ that are ``close'' to $SO(3)$. For example, $M$ could be the result of a long series of multiplications of rotation matrices, which has caused the result to drift slightly away from satisfying the conditions of $SO(3)$ (${\rm det}(M) = 1, M^\trans M = I$) due to roundoff errors.} {} \end{function} @@ -297,22 +299,23 @@ $K_d$ & {\tt Kd} & A scalar feedback derivative gain.\\ \begin{function} %DistanceToSE3 {d = DistanceToSE3(mat)} -{\item \verb~mat~: A $4 \times 4$ matrix $mat$.} -{\item \verb~d~: A measure of the distance from $mat$ to $SE(3)$, the space of transformation matrices. Let $matR$ be the top $3 \times 3$ submatrix of $mat$, i.e., the portion of $mat$ expected to represent a rotation matrix. If ${\rm det}(matR)>0$ (the determinant of $matR$ should be $1$ if $matR \in SO(3)$), the distance is calculated as $\|mat^{\prime\trans} mat^\prime -I\|_F$, where $mat^\prime$ is equivalent to $mat$ except the elements in $mat^\prime$, which are $mat^\prime_{14}$, $mat^\prime_{24}$, and $mat^\prime_{34}$, are zero. The Frobenius norm $\| \cdot \|_F$ of a matrix is the the square root of the sum of the squares of the absolute values of the elements of the matrix. If the determinant of $matR$ is not positive, a large value is returned. } +{\item \verb~mat~: A $4 \times 4$ matrix $M$.} +{\item \verb~d~: A measure of the distance from $M$ to $SE(3)$, the + space of transformation matrices. Let $R$ be the top-left $3 \times 3$ submatrix of $M$, i.e., the portion of $M$ expected to represent a rotation matrix. If ${\rm det}(R)>0$ (the determinant of $R$ should be $1$ if $R \in SO(3)$), the distance is calculated as $\|M^\prime -I\|_F$, where the top-left $3 \times 3$ submatrix of $M^\prime$ is $R^\trans R$ (which should be the identity matrix if $R \in SO(3)$), the $1 \times 4$ bottom row of $M^\prime$ is the same as the bottom row of $M$, and the elements $M^\prime_{14}$, $M^\prime_{24}$, and $M^\prime_{34}$ are zero. The Frobenius norm $\| \cdot \|_F$ of a matrix is the the square root of the sum of the squares of the absolute values of the elements of the matrix. If the determinant of $R$ is not positive, a large value is returned. } {} \end{function} \begin{function} %TestIfSE3 {judge = TestIfSE3(mat)} -{\item \verb~mat~: A $4 \times 4$ matrix $mat$.} -{\item \verb~judge~: $1$ if $mat$ is a transformation matrix (an element of $SE(3)$) and $0$ otherwise. This function calls \verb~DistanceToSE3(mat)~ and tests if the returned distance is smaller than a small value (which you should feel free to change to suit your purposes).} +{\item \verb~mat~: A $4 \times 4$ matrix $M$.} +{\item \verb~judge~: $1$ if $M$ is a transformation matrix (an element of $SE(3)$) and $0$ otherwise. This function calls \verb~DistanceToSE3(mat)~ and tests if the returned distance is smaller than a small value (which you should feel free to change to suit your purposes).} {} \end{function} \begin{function} %ProjectToSE3 {T = ProjectToSE3(mat)} -{\item \verb~mat~: A $4 \times 4$ matrix $mat$.} -{\item \verb~T~: The closest transformation matrix (element of $SE(3)$) to $mat$. This function is only appropriate for matrices $mat$ that are ``close'' to $SE(3)$. For example, $mat$ could be the result of a long series of multiplications of transformation matrices, which has caused the result to drift slightly away from satisfying the conditions of $SE(3)$ (top left $3\times 3$ submatrix is in $SO(3)$ and the bottom row is $[0 \; 0\; 0 \; 1]$) due to roundoff errors.} +{\item \verb~mat~: A $4 \times 4$ matrix $M$.} +{\item \verb~T~: The closest transformation matrix (element of $SE(3)$) to $M$. This function is only appropriate for matrices $M$ that are ``close'' to $SE(3)$. For example, $M$ could be the result of a long series of multiplications of transformation matrices, which has caused the result to drift slightly away from satisfying the conditions of $SE(3)$ (top-left $3\times 3$ submatrix is in $SO(3)$ and the bottom row is $[0 \; 0\; 0 \; 1]$) due to roundoff errors. The top-left $3 \times 3$ submatrix of $T$ is the $SO(3)$ matrix closest to the top-left $3 \times 3$ submatrix of $M$, the bottom row of $T$ is $[0 \; 0\; 0\; 1]$, and the elements $T_{14}$, $T_{24}$, and $T_{34}$ are equivalent to the elements $M_{14}$, $M_{24}$, and $M_{34}$, respectively. } {} \end{function} diff --git a/packages/Mathematica/README.md b/packages/Mathematica/README.md index 709e145..ca90a7c 100644 --- a/packages/Mathematica/README.md +++ b/packages/Mathematica/README.md @@ -1,9 +1,5 @@ # "ModernRobotics" Mathematica Package Instructions # -This package is the code library for _Modern Robotics: Mechanics, Planning, -and Control_. [Here](../../doc/MRlib.pdf) is the introduction. For more -details please see the [website](http://modernrobotics.org/). - ## Installing the Package ## ### Recommended Installation Instructions ### @@ -16,10 +12,10 @@ Mathematica's front end to install this package. Use the following steps: 2. Click `File -> Install...` 3. Select `Package` for the _Type of Item to Install_ 4. Chose `From File...` for the _Source_ -5. Navigate to the `ModernRobotics.m` and select it as the source for the +5. Navigate to `ModernRobotics.m` and select it as the source for the package 6. The _Install Name_ should default to `ModernRobotics`; if it doesn't then - fill in the install name to be `ModernRobotics`. + fill in the install name to be `ModernRobotics` 7. Choose whether you want the package installed for a single user or for all users (may require administrative privileges) 8. Click `OK` @@ -28,7 +24,7 @@ Mathematica's front end to install this package. Use the following steps: If you have any troubles with the front-end installation described above, try manually installing the package by copying the `ModernRobotics.m` file into -the following director. +the following directory. ```sh $MATHPATH/Applications/ModernRobotics/ diff --git a/packages/Matlab/README.md b/packages/Matlab/README.md index 5a2789a..df179a1 100644 --- a/packages/Matlab/README.md +++ b/packages/Matlab/README.md @@ -1,12 +1,9 @@ -# "mr" Matlab Code Library Instructions # - -This is the code library for _Modern Robotics: Mechanics, Planning, and -Control_. [Here](../../doc/MRlib.pdf) is the introduction. For more details -please see the [website](http://modernrobotics.org/). +# "mr" MATLAB Code Library Instructions # ## Installing the Library ## -This code library does not need installation. +Copy the "mr" folder to a known location on your computer. We will call the +path to this folder `$FOLDER_PATH/mr`. ## Importing the Library ## @@ -16,8 +13,7 @@ To import the library, use `addpath` as addpath('$FOLDER_PATH/mr') ``` -where `$FOLDER_PATH` is the path to "mr" folder. This process is required for -any program using this package. +This process is required for any program using this package. ## Using the Package ## @@ -40,7 +36,7 @@ invR = RotInv(R); You should get the the variable `invR` whose value is the same as the output shown in the function usage example. -To check the function list and which chapter in the book do those functions +To check the function list and which chapter in the book those functions belong to, use `help` as ``` diff --git a/packages/Python/README.md b/packages/Python/README.md index 12e5fb0..79312d4 100644 --- a/packages/Python/README.md +++ b/packages/Python/README.md @@ -1,9 +1,5 @@ # "modern_robotics" Python Package Instructions # -This package is the code library for _Modern Robotics: Mechanics, Planning, -and Control_. [Here](../../doc/MRlib.pdf) is the introduction. For more -details please see the [website](http://modernrobotics.org/). - ## Installing the Package ## ### Recommended Method ### @@ -16,7 +12,7 @@ pip install modern_robotics ``` If pip is not preinstalled, check -[here](https://pip.pypa.io/en/stable/installing/) for help of installing pip. +[here](https://pip.pypa.io/en/stable/installing/) for help installing pip. ### Alternative Method ### @@ -53,7 +49,7 @@ R = np.array([[0, 0, 1], invR = mr.RotInv(R) ``` -You should get the the variable `invR` whose value is the same as the output +You should get the variable `invR` whose value is the same as the output shown in the function usage example. ## Using the Package Locally ##