From 78b2904d44cc1a5d1c1a4e6c10ee40a9f392b742 Mon Sep 17 00:00:00 2001 From: puttersp Date: Sat, 9 Dec 2023 19:18:20 +0700 Subject: [PATCH 01/19] update1 --- pyplot3d/.gitattributes | 148 ++++++++++++ pyplot3d/.gitignore | 267 ++++++++++++++++++++++ pyplot3d/README.md | 107 +++++++++ pyplot3d/__init__.py | 0 pyplot3d/basic.py | 470 +++++++++++++++++++++++++++++++++++++++ pyplot3d/camera.py | 120 ++++++++++ pyplot3d/media/video.gif | Bin 0 -> 659490 bytes pyplot3d/media/video.mov | Bin 0 -> 512618 bytes pyplot3d/uav.py | 137 ++++++++++++ pyplot3d/utils.py | 104 +++++++++ sim12.py | 44 ++++ 11 files changed, 1397 insertions(+) create mode 100644 pyplot3d/.gitattributes create mode 100644 pyplot3d/.gitignore create mode 100644 pyplot3d/README.md create mode 100644 pyplot3d/__init__.py create mode 100644 pyplot3d/basic.py create mode 100644 pyplot3d/camera.py create mode 100644 pyplot3d/media/video.gif create mode 100644 pyplot3d/media/video.mov create mode 100644 pyplot3d/uav.py create mode 100644 pyplot3d/utils.py create mode 100644 sim12.py diff --git a/pyplot3d/.gitattributes b/pyplot3d/.gitattributes new file mode 100644 index 0000000..ddbe473 --- /dev/null +++ b/pyplot3d/.gitattributes @@ -0,0 +1,148 @@ +# LaTeX +*.tex text eol=lf +*.cls text eol=lf +*.sty text eol=lf +*.bst text eol=lf +*.bib text eol=lf + +#sources +*.c text eol=lf +*.cc text eol=lf +*.cxx text eol=lf +*.cpp text eol=lf +*.c++ text eol=lf +*.hpp text eol=lf +*.h text eol=lf +*.h++ text eol=lf +*.hh text eol=lf + +# Compiled Object files +*.slo binary +*.lo binary +*.o binary +*.obj binary + +# Precompiled Headers +*.gch binary +*.pch binary + +# Compiled Dynamic libraries +*.so binary +*.dylib binary +*.dll binary + +# Compiled Static libraries +*.lai binary +*.la binary +*.a binary +*.lib binary + +# Executables +*.exe binary +*.out binary +*.app binary + + +#common settings that generally should always be used with your language specific settings + +# Auto detect text files and perform LF 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+![UAV](media/video.gif) + + +The sole purpose of this library is to provide a few customizable 3D shapes so that you can conveneintly use them for generating 3D plots. + +## How to Use + +1. Add this as a submodule. + ```sh + cd /directory/where/you/have/your/python/files + git submodule add https://github.com/kanishkegb/pyplot-3d.git ./pyplot3d + ``` + Alternatively, you can download the repo as a zip file, extract it, rename it to `pyplot3d`, and move it your directory with python codes. + +1. Use the library in your code. + ```python + from pyplot3d.uav import Uav + from pyplot3d.utils import ypr_to_R + + import numpy as np + import matplotlib.pyplot as plt + + plt.style.use('seaborn') + + # initialize plot + fig = plt.figure() + ax = fig.gca(projection='3d') + + arm_length = 0.24 # in meters + uav = Uav(ax, arm_length) + + uav.draw_at([1, 0, 0], ypr_to_R([np.pi/2.0, 0, 0])) + + plt.show() + ``` + +1. Run the code. + ```sh + python3 /name/of/your/file + ``` + +You can combine multiple objects. +For example, the UAV plot is simply a combination of a few other basic shapes defined in `basic.py`. +Just make sure to call all the objects before calling `plt.show()`. + + +Also, you can use it with combination of animations package. +The below code can be used to generate the GIF shown above. + +```python +import numpy as np +from matplotlib import pyplot as plt +# %matplotlib inline + +from matplotlib import animation + +from uav import pyplot3d.Uav +from utils import pyplot3d.ypr_to_R + + +def update_plot(i, x, R): + uav_plot.update_plot(x[:, i], R[:, :, i]) + + # These limits must be set manually since we use + # a different axis frame configuration than the + # one matplotlib uses. + xmin, xmax = -2, 2 + ymin, ymax = -2, 2 + zmin, zmax = -2, 2 + + ax.set_xlim([xmin, xmax]) + ax.set_ylim([ymax, ymin]) + ax.set_zlim([zmax, zmin]) + + +plt.style.use('seaborn') + +fig = plt.figure() +ax = fig.gca(projection='3d') + +arm_length = 0.24 # in meters +uav_plot = Uav(ax, arm_length) + + +# Create some fake simulation data +steps = 60 +t_end = 1 + +x = np.zeros((3, steps)) +x[0, :] = np.arange(0, t_end, t_end / steps) +x[1, :] = np.arange(0, t_end, t_end / steps) * 2 + +R = np.zeros((3, 3, steps)) +for i in range(steps): + ypr = np.array([i, 0.1 * i, 0.0]) + R[:, :, i] = ypr_to_R(ypr, degrees=True) + +ani = animation.FuncAnimation(fig, update_plot, frames=20, fargs=(x, R,)); + +# If using Jupyter Notebooks +# from IPython.display import HTML +# HTML(ani.to_jshtml()) + diff --git a/pyplot3d/__init__.py b/pyplot3d/__init__.py new file mode 100644 index 0000000..e69de29 diff --git a/pyplot3d/basic.py b/pyplot3d/basic.py new file mode 100644 index 0000000..afc2509 --- /dev/null +++ b/pyplot3d/basic.py @@ -0,0 +1,470 @@ +import matplotlib.pyplot as plt +import numpy as np + +from mpl_toolkits.mplot3d import Axes3D + +from .utils import ypr_to_R + + + +class Sphere: + ''' + Draws a sphere at a given position. + ''' + + def __init__(self, ax, r, c='b', x0=np.array([0, 0, 0]).T, resolution=20): + ''' + Initialize the sphere. + + Params: + ax: (matplotlib axis) the axis where the sphere should be drawn + r: (float) radius of the sphere + c: (string) color of the sphere, default 'b' + x0: (3x1 numpy.ndarray) initial position of the sphere, default + is [0, 0, 0] + resolution: (int) resolution of the plot, default 20 + + Returns: + None + ''' + + self.ax = ax + self.r = r + self.color = c + self.x0 = x0 + self.reso = resolution + + + def draw(self): + ''' + Draw the sphere with the initially defined position when the class was + instantiated. + + Args: + None + + Returns: + None + ''' + + vertices = np.linspace(0, 2*np.pi, self.reso+1) + u, v = np.meshgrid(vertices, vertices) + + x = self.r * np.cos(u) * np.sin(v) + self.x0[0] + y = self.r * np.sin(u) * np.sin(v) + self.x0[1] + z = self.r * np.cos(v) + self.x0[2] + + self.ax.plot_surface(x, y, z, color=self.color) + + + def draw_at(self, position=np.array([0.0, 0.0, 0.0]).T): + ''' + Draw the sphere at a given position. + + Args: + position: (3x1 numpy.ndarray) position of the sphere, + default = [0.0, 0.0, 0.0] + + Returns: + None + ''' + + vertices = np.linspace(0, 2*np.pi, self.reso+1) + u, v = np.meshgrid(vertices, vertices) + + x = self.r * np.cos(u) * np.sin(v) + position[0] + y = self.r * np.sin(u) * np.sin(v) + position[1] + z = self.r * np.cos(v) + position[2] + + self.ax.plot_surface(x, y, z, color=self.color) + + + +class Arrow: + ''' + Draws an arrow at a given position, with a given attitude. + ''' + + def __init__(self, ax, direction, c='b', x0=np.array([0.0, 0.0, 0.0]).T, \ + length=1.0): + ''' + Initialize the arrow. + + Params: + ax: (matplotlib axis) the axis where the arrow should be drawn + direction: (3x1 numpy.ndarray) direction of the arrow + c: (string) color of the arrow, default = 'b' + x0: (3x1 numpy.ndarray) origin of the arrow, + default = [0.0, 0.0, 0.0] + length: (float) length of the arrow, default = 1.0 + + Returns: + None + ''' + + self.ax = ax + self.u0 = direction + self.color = c + self.x0 = x0 + self.arrow_length = length + + + def draw(self): + ''' + Draw the arrow with the initially defined parameter when the class was + instantiated. + + Args: + None + + Returns: + None + ''' + + x = self.x0 + u = self.u0 + + self.ax.quiver(x[0], x[1], x[1], \ + u[0], u[1], u[2], \ + color=self.color, + length=self.arrow_length, \ + normalize=False) + + + def draw_from_to(self, x=np.array([0.0, 0.0, 0.0]).T, \ + u=np.array([1.0, 0.0, 0.0]).T): + ''' + Draw the arrow at a given position, with a given direction + + Args: + x: (3x1 numpy.ndarray) origin of the arrow, + default = [0.0, 0.0, 0.0] + u: (3x1 numpy.ndarray) direction of the arrow, + default = [1.0, 0.0, 0.0] + + Returns: + None + ''' + + self.ax.quiver(x[0], x[1], x[2], \ + u[0], u[1], u[2], \ + color=self.color, + length=self.arrow_length, \ + normalize=False) + + + +class Line: + ''' + Draws a line at a given position, with a given attitude. + ''' + + def __init__(self, ax, c='b', x0=np.array([0.0, 0.0, 0.0]).T, \ + x1=np.array([1.0, 0.0, 0.0]).T): + ''' + Initialize the line. + Params: + ax: (matplotlib axis) the axis where the line should be drawn + c: (string) color of the arrow, default = 'b' + x0: (3x1 numpy.ndarray) start of the line, + default = [0.0, 0.0, 0.0] + x1: (3x1 numpy.ndarray) end of the line, + default = [1.0, 0.0, 0.0] + + Returns: + None + ''' + + self.ax = ax + self.color = c + self.x0 = x0 + self.x1 = x1 + + + def draw(self): + ''' + Draw the line with the initially defined parameter when the class was + instantiated. + Args: + None + + Returns: + None + ''' + + self.ax.plot([self.x0[0], self.x1[0]], \ + [self.x0[1], self.x1[1]], \ + [self.x0[2], self.x1[2]], \ + color=self.color) + + + def draw_from_to(self, x0=np.array([0.0, 0.0, 0.0]).T, \ + x1=np.array([1.0, 0.0, 0.0]).T): + ''' + Draw the line between two points. + Args: + x0: (3x1 numpy.ndarray) start of the line, + default = [0.0, 0.0, 0.0] + x1: (3x1 numpy.ndarray) end of the line, + default = [1.0, 0.0, 0.0] + + Returns: + None + ''' + + self.ax.plot([x0[0], x1[0]], \ + [x0[1], x1[1]], \ + [x0[2], x1[2]], \ + color=self.color) + + +class Plane: + ''' + Draws a plane at a given position. + ''' + + def __init__(self, ax, h, w, c='b', x=np.array([0, 0, 0]).T, \ + R=np.eye(3), resolution=1): + ''' + Initialize the sphere. + Params: + ax: (matplotlib axis) the axis where the plane should be drawn + h = (float): height of the plane (x axis) + w = (float): width of the plane (y axis) + c: (string) color of the plane, default 'b' + x: (3x1 numpy.ndarray) initial position of the plane, default + is [0, 0, 0] + R: (3x1 numpy.ndarray) attitude of the plane, + default = eye(3) + resolution: (int) resolution of the plot, default 1 + + Returns: + None + ''' + + self.ax = ax + self.h = h + self.w = w + self.color = c + self.x = x + self.R = R + self.reso = resolution + + self.uvw = np.array([]) + self.mesh_shape = (1, 1) + + + def draw(self): + ''' + Draw the plane with the initially defined position when the class was + instantiated. + Args: + None + + Returns: + None + ''' + + if self.uvw.size == 0: + reso = self.reso + h = self.h/2.0 + w = self.w/2.0 + + vertices_h = np.linspace(-h, h, reso+1) + vertices_w = np.linspace(-w, w, reso+1) + + u, v = np.meshgrid(vertices_h, vertices_w) + w = u*0.0 + + self.mesh_shape = np.shape(u) + self.uvw = np.array([u.ravel(), v.ravel(), w.ravel()]) + + # NOTE: for higher resolutions, raveling and reshpaing can be + # expensive. Replace this with np.einsum. + uvw = self.R @ self.uvw + + self.ax.plot_surface( + uvw[0, :].reshape(self.mesh_shape) + float(self.x[0]), + uvw[1, :].reshape(self.mesh_shape) + float(self.x[1]), + uvw[2, :].reshape(self.mesh_shape) + float(self.x[2]), + color=self.color) + + + def draw_at(self, x=np.array([0.0, 0.0, 0.0]).T, R=np.eye(3)): + ''' + Draw the plane at a given position and attitude. + + Args: + x: (3x1 numpy.ndarray) position of plane, + default = [0.0, 0.0, 0.0] + R: (3x1 numpy.ndarray) attitude of the plane, + default = eye(3) + + Returns: + None + ''' + + if self.uvw.size == 0: + reso = self.reso + h = self.h/2.0 + w = self.w/2.0 + + vertices_h = np.linspace(-h, h, reso+1) + vertices_w = np.linspace(-w, w, reso+1) + + u, v = np.meshgrid(vertices_h, vertices_w) + w = u*0.0 + + self.mesh_shape = np.shape(u) + self.uvw = np.array([u.ravel(), v.ravel(), w.ravel()]) + + # NOTE: for higher resolutions, raveling and reshpaing can be + # expensive. Replace this with np.einsum. + uvw = R @ self.uvw + + self.ax.plot_surface( + uvw[0, :].reshape(self.mesh_shape) + float(x[0]), + uvw[1, :].reshape(self.mesh_shape) + float(x[1]), + uvw[2, :].reshape(self.mesh_shape) + float(x[2]), + color=self.color) + + + +class Cube: + ''' + Draws a cube at a given position. + ''' + + def __init__(self, ax, dimensions, c='b', x=np.array([0, 0, 0]).T, \ + R=np.eye(3), resolution=10): + ''' + Initialize the cube. + Params: + ax: (matplotlib axis) the axis where the cube should be drawn + dimensions = (3x1 numpy.ndarray): dimensions along each axis + c: (string) color of the cube, default 'b' + x: (3x1 numpy.ndarray) initial position of the cube, default + is [0, 0, 0] + R: (3x1 numpy.ndarray) attitude of the cube, + default = eye(3) + resolution: (int) resolution of the plot, default 10 + + Returns: + None + ''' + + self.ax = ax + self.d1 = dimensions[0] + self.d2 = dimensions[1] + self.d3 = dimensions[2] + self.color = c + self.x = x + self.R = R + self.reso = resolution + + theta = np.pi / 2.0 + + self.pt1 = np.array([self.d1/2.0, 0.0, 0.0]) + self.R1 = ypr_to_R([0.0, theta, 0.0]) + self.p1 = Plane(self.ax, self.d3, self.d2, 'r', \ + self.pt1, self.R1) + + self.pt2 = np.array([-self.d1/2.0, 0.0, 0.0]) + self.R2 = ypr_to_R([0.0, -theta, 0.0]) + self.p2 = Plane(self.ax, self.d3, self.d2, 'r', \ + self.pt2, self.R2) + + self.pt3 = np.array([0.0, self.d2/2.0, 0.0]) + self.R3 = ypr_to_R([0.0, 0.0, -theta]) + self.p3 = Plane(self.ax, self.d1, self.d3, 'r', \ + self.pt3, self.R3) + + self.pt4 = np.array([0.0, -self.d2/2.0, 0.0]) + self.R4 = ypr_to_R([0.0, 0.0, theta]) + self.p4 = Plane(self.ax, self.d1, self.d3, 'r', \ + self.pt4, self.R4) + + self.pt5 = np.array([0.0, 0.0, self.d3/2.0]) + self.R5 = np.eye(3) + self.p5 = Plane(self.ax, self.d1, self.d2, 'r', \ + self.pt5, self.R5) + + self.pt6 = np.array([0.0, 0.0, -self.d3/2.0]) + self.R6 = np.eye(3) + self.p6 = Plane(self.ax, self.d1, self.d2, 'r', \ + self.pt6, self.R6) + + + def draw(self): + ''' + Draw the cube with the initially defined position when the class was + instantiated. + Args: + None + + Returns: + None + ''' + + self.p1.draw() + self.p2.draw() + self.p3.draw() + self.p4.draw() + self.p5.draw() + self.p6.draw() + + + def draw_at(self, x=np.array([0.0, 0.0, 0.0]).T, R=np.eye(3)): + ''' + Draw the camera at a given point and attitude. + Args: + x: (3x1 numpy.ndarray) position of camera, + default = [0.0, 0.0, 0.0] + R: (3x1 numpy.ndarray) attitude of the camera, + default = eye(3) + + Returns: + None + ''' + + raise NotImplementedError('This has not been implemented correctly') + # self.p1.draw_at(x + R@self.R1@self.pt1, R@self.R1) + # self.p2.draw_at(x + R@self.R2@self.pt2, R@self.R2) + # self.p3.draw_at(x + R@self.R3@self.pt3, R@self.R3) + # self.p4.draw_at(x + R@self.R4@self.pt4, R@self.R4) + # self.p5.draw_at(x + R@self.R5@self.pt5, R@self.R5) + # self.p6.draw_at(x + R@self.R6@self.pt6, R@self.R6) + + self.p1.draw_at(x + self.pt1, R@self.R1) + self.p2.draw_at(x + self.pt2, R@self.R2) + self.p3.draw_at(x + self.pt3, R@self.R3) + self.p4.draw_at(x + self.pt4, R@self.R4) + self.p5.draw_at(x + self.pt5, R@self.R5) + self.p6.draw_at(x + self.pt6, R@self.R6) + + + +if __name__ == '__main__': + + # Initiate the plot + plt.style.use('seaborn') + + fig = plt.figure() + ax = fig.gca(projection='3d') + + # s1 = Sphere(ax, 1) + # s1.draw() + + # R = ypr_to_R([0, 0, np.pi/2.0]) + # p1 = Plane(ax, 3, 2, 'r', [0, 0, 1], R) + # p1.draw() + + c1 = Cube(ax, [3, 4, 5]) + # c1.draw_at([1,0,0], ypr_to_R([0,0,0])) + c1.draw_at([0,0,0], ypr_to_R([np.pi/4,0,0])) + + ax.set_xlim([-5, 5]) + ax.set_ylim([-5, 5]) + ax.set_zlim([-5, 5]) + + plt.show() \ No newline at end of file diff --git a/pyplot3d/camera.py b/pyplot3d/camera.py new file mode 100644 index 0000000..2e89324 --- /dev/null +++ b/pyplot3d/camera.py @@ -0,0 +1,120 @@ +from .basic import Line, Sphere + +import numpy as np + + +class Camera: + ''' + Draws a line at a given position, with a given attitude. + ''' + + def __init__(self, ax, c='b', x=np.array([0.0, 0.0, 0.0]).T, R=np.eye(3)): + ''' + Initialize the camera. + Params: + ax: (matplotlib axis) the axis where the line should be drawn + direction: (3x1 numpy.ndarray) direction of the arrow + c: (string) color of the arrow, default = 'b' + x: (3x1 numpy.ndarray) origin of the camera, + default = [0.0, 0.0, 0.0] + R: (3x1 numpy.ndarray) attitude of the camera, + default = eye(3) + + Returns: + None + ''' + + self.ax = ax + self.color = c + self.x = x + self.R = R + + d = 0.3 + w = 0.2 + h = 0.1 + p1 = np.array([d, w, h]) + p2 = np.array([d, -w, h]) + p3 = np.array([d, -w, -h]) + p4 = np.array([d, w, -h]) + self.l1 = Line(self.ax, 'b', x, p1) + self.l2 = Line(self.ax, 'b', x, p2) + self.l3 = Line(self.ax, 'b', x, p3) + self.l4 = Line(self.ax, 'b', x, p4) + self.l5 = Line(self.ax, 'r', p1, p2) + self.l6 = Line(self.ax, 'r', p2, p3) + self.l7 = Line(self.ax, 'r', p3, p4) + self.l8 = Line(self.ax, 'r', p4, p1) + + self.origin = Sphere(self.ax, 0.02, 'y') + + + def draw(self): + ''' + Draw a camera with the initially defined parameter when the class was + instantiated. + Args: + None + + Returns: + None + ''' + + self.l1.draw() + self.l2.draw() + self.l3.draw() + self.l4.draw() + self.l5.draw() + self.l6.draw() + self.l7.draw() + self.l8.draw() + self.origin.draw() + + + def draw_at(self, x=np.array([0.0, 0.0, 0.0]).T, R=np.eye(3)): + ''' + Draw the camera at a given point and attitude. + Args: + x: (3x1 numpy.ndarray) position of camera, + default = [0.0, 0.0, 0.0] + R: (3x1 numpy.ndarray) attitude of the camera, + default = eye(3) + + Returns: + None + ''' + + d = 0.5 + w = 0.4 + h = 0.3 + p1 = x + R@np.array([d, w, h]) + p2 = x + R@np.array([d, -w, h]) + p3 = x + R@np.array([d, -w, -h]) + p4 = x + R@np.array([d, w, -h]) + + self.l1.draw_from_to(x, p1) + self.l2.draw_from_to(x, p2) + self.l3.draw_from_to(x, p3) + self.l4.draw_from_to(x, p4) + self.l5.draw_from_to(p1, p2) + self.l6.draw_from_to(p2, p3) + self.l7.draw_from_to(p3, p4) + self.l8.draw_from_to(p4, p1) + self.origin.draw_at(x) + + + +if __name__ == '__main__': + from utils import ypr_to_R + from mpl_toolkits.mplot3d import Axes3D + + import numpy as np + import matplotlib.pyplot as plt + + plt.style.use('seaborn') + fig = plt.figure() + ax = fig.gca(projection='3d') + + camera = Camera(ax) + camera.draw_at([1, 1, 3], ypr_to_R([0, np.pi/4, 0])) + + plt.show() \ No newline at end of file diff --git a/pyplot3d/media/video.gif b/pyplot3d/media/video.gif new file mode 100644 index 0000000000000000000000000000000000000000..1c3c9437b32f7f45d40237de3777c4e75c9f26a4 GIT binary patch literal 659490 zcmV(uK+0}-0s>)%V*2&@cgf^aNFDRzy}JnXKI6j$x4Jv zHGWr@$2jA>h0R4r@6Vk?eg#Q@bB~b_44xdXlQK+1KvnS0)iwel9Fde zMN`?>-o?f0tE=Ilpr$ce06}R2dwdDo+y2NjIKjcjS5(&t2#e_F>rF_HC?u`!;oX3L zhV}LMBp}~Bc@FpZ`O(qV+HXnA>lVPMUE ze6%Pgg>7r#h&TrJ=IH3>@D&n{{hOaWIqH{{#PbOc)YI>TZaJVP18X<|I*vPSa0T4l 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