Coverage for /usr/lib/python3/dist-packages/sympy/plotting/pygletplot/__init__.py: 60%

1"""Plotting module that can plot 2D and 3D functions 

2""" 

3 

4from sympy.utilities.decorator import doctest_depends_on 

5 

6@doctest_depends_on(modules=('pyglet',)) 

7def PygletPlot(*args, **kwargs): 

8 """ 

9 

10 Plot Examples 

11 ============= 

12 

13 See examples/advanced/pyglet_plotting.py for many more examples. 

14 

15 >>> from sympy.plotting.pygletplot import PygletPlot as Plot 

16 >>> from sympy.abc import x, y, z 

17 

18 >>> Plot(x*y**3-y*x**3) 

19 [0]: -x**3*y + x*y**3, 'mode=cartesian' 

20 

21 >>> p = Plot() 

22 >>> p[1] = x*y 

23 >>> p[1].color = z, (0.4,0.4,0.9), (0.9,0.4,0.4) 

24 

25 >>> p = Plot() 

26 >>> p[1] = x**2+y**2 

27 >>> p[2] = -x**2-y**2 

28 

29 

30 Variable Intervals 

31 ================== 

32 

33 The basic format is [var, min, max, steps], but the 

34 syntax is flexible and arguments left out are taken 

35 from the defaults for the current coordinate mode: 

36 

37 >>> Plot(x**2) # implies [x,-5,5,100] 

38 [0]: x**2, 'mode=cartesian' 

39 

40 >>> Plot(x**2, [], []) # [x,-1,1,40], [y,-1,1,40] 

41 [0]: x**2, 'mode=cartesian' 

42 >>> Plot(x**2-y**2, [100], [100]) # [x,-1,1,100], [y,-1,1,100] 

43 [0]: x**2 - y**2, 'mode=cartesian' 

44 >>> Plot(x**2, [x,-13,13,100]) 

45 [0]: x**2, 'mode=cartesian' 

46 >>> Plot(x**2, [-13,13]) # [x,-13,13,100] 

47 [0]: x**2, 'mode=cartesian' 

48 >>> Plot(x**2, [x,-13,13]) # [x,-13,13,100] 

49 [0]: x**2, 'mode=cartesian' 

50 >>> Plot(1*x, [], [x], mode='cylindrical') 

51 ... # [unbound_theta,0,2*Pi,40], [x,-1,1,20] 

52 [0]: x, 'mode=cartesian' 

53 

54 

55 Coordinate Modes 

56 ================ 

57 

58 Plot supports several curvilinear coordinate modes, and 

59 they independent for each plotted function. You can specify 

60 a coordinate mode explicitly with the 'mode' named argument, 

61 but it can be automatically determined for Cartesian or 

62 parametric plots, and therefore must only be specified for 

63 polar, cylindrical, and spherical modes. 

64 

65 Specifically, Plot(function arguments) and Plot[n] = 

66 (function arguments) will interpret your arguments as a 

67 Cartesian plot if you provide one function and a parametric 

68 plot if you provide two or three functions. Similarly, the 

69 arguments will be interpreted as a curve if one variable is 

70 used, and a surface if two are used. 

71 

72 Supported mode names by number of variables: 

73 

74 1: parametric, cartesian, polar 

75 2: parametric, cartesian, cylindrical = polar, spherical 

76 

77 >>> Plot(1, mode='spherical') 

78 

79 

80 Calculator-like Interface 

81 ========================= 

82 

83 >>> p = Plot(visible=False) 

84 >>> f = x**2 

85 >>> p[1] = f 

86 >>> p[2] = f.diff(x) 

87 >>> p[3] = f.diff(x).diff(x) 

88 >>> p 

89 [1]: x**2, 'mode=cartesian' 

90 [2]: 2*x, 'mode=cartesian' 

91 [3]: 2, 'mode=cartesian' 

92 >>> p.show() 

93 >>> p.clear() 

94 >>> p 

95 <blank plot> 

96 >>> p[1] = x**2+y**2 

97 >>> p[1].style = 'solid' 

98 >>> p[2] = -x**2-y**2 

99 >>> p[2].style = 'wireframe' 

100 >>> p[1].color = z, (0.4,0.4,0.9), (0.9,0.4,0.4) 

101 >>> p[1].style = 'both' 

102 >>> p[2].style = 'both' 

103 >>> p.close() 

104 

105 

106 Plot Window Keyboard Controls 

107 ============================= 

108 

109 Screen Rotation: 

110 X,Y axis Arrow Keys, A,S,D,W, Numpad 4,6,8,2 

111 Z axis Q,E, Numpad 7,9 

112 

113 Model Rotation: 

114 Z axis Z,C, Numpad 1,3 

115 

116 Zoom: R,F, PgUp,PgDn, Numpad +,- 

117 

118 Reset Camera: X, Numpad 5 

119 

120 Camera Presets: 

121 XY F1 

122 XZ F2 

123 YZ F3 

124 Perspective F4 

125 

126 Sensitivity Modifier: SHIFT 

127 

128 Axes Toggle: 

129 Visible F5 

130 Colors F6 

131 

132 Close Window: ESCAPE 

133 

134 ============================= 

135 """ 

136 

137 from sympy.plotting.pygletplot.plot import PygletPlot 

138 return PygletPlot(*args, **kwargs)