From 682f607bd93bc313282539cb5eaac5b1132e9132 Mon Sep 17 00:00:00 2001 From: queue-miscreant Date: Wed, 17 Jul 2024 06:16:39 -0500 Subject: [PATCH 1/8] use extent in imshow call --- dcolor/dcolor.py | 13 +++++-------- 1 file changed, 5 insertions(+), 8 deletions(-) diff --git a/dcolor/dcolor.py b/dcolor/dcolor.py index 6c72139..c851d72 100644 --- a/dcolor/dcolor.py +++ b/dcolor/dcolor.py @@ -8,7 +8,7 @@ class DColor: - def __init__(self, samples=1000, xmin=-8, xmax=8, ymin=-8, ymax=8): + def __init__(self, samples=1000, xmin=-8.0, xmax=8.0, ymin=-8.0, ymax=8.0): mpl.rcParams["toolbar"] = "None" self._samples = samples # axes @@ -55,13 +55,10 @@ def plot(self, f, xdim=8, ydim=8, plt_dpi=100, title=""): fig = plt.figure(figsize=(xdim, ydim), dpi=plt_dpi) ax = fig.gca() - val = str("x xmin=") - val = val + str(self._xmin) + " xmax=" + str(self._xmax) - ax.set_xlabel(val) - val = str("y ymin=") - val = val + str(self._ymin) + " xmax=" + str(self._ymax) - ax.set_ylabel(val) - ax.imshow(rgb) + ax.imshow(rgb, extent=(self._xmin, self._xmax, self._ymax, self._ymin)) # y extents backwards for inverted y axis + ax.axhline(y=0, color='k') + ax.axvline(x=0, color='k') + ax.grid(True, which='both', linestyle="dashed") ax.invert_yaxis() # make CCW orientation positive ax.get_xaxis().set_visible(True) ax.get_yaxis().set_visible(True) From 4e0c3b9e22e8ba084c95e87f47b85f4efe20cb90 Mon Sep 17 00:00:00 2001 From: queue-miscreant Date: Thu, 18 Jul 2024 05:53:45 -0500 Subject: [PATCH 2/8] refactor color variants --- dcolor/__init__.py | 3 +- dcolor/color_maps.py | 101 ++++++++++++++++++++++++++++++++++++ dcolor/dcolor.py | 39 +++----------- dcolor/hsvcolor.py | 119 ------------------------------------------- dcolor/rgbcolor.py | 66 ------------------------ 5 files changed, 109 insertions(+), 219 deletions(-) create mode 100644 dcolor/color_maps.py delete mode 100644 dcolor/hsvcolor.py delete mode 100644 dcolor/rgbcolor.py diff --git a/dcolor/__init__.py b/dcolor/__init__.py index 1d1c005..8969069 100644 --- a/dcolor/__init__.py +++ b/dcolor/__init__.py @@ -1,3 +1,2 @@ from .dcolor import DColor -from .hsvcolor import DColor as DColorHSV -from .rgbcolor import DColor as DColorRGB +from .color_maps import magnitude_oscillating, raw_magnitude_oscillating, green_magnitude diff --git a/dcolor/color_maps.py b/dcolor/color_maps.py new file mode 100644 index 0000000..70a9910 --- /dev/null +++ b/dcolor/color_maps.py @@ -0,0 +1,101 @@ +import numpy as np +from matplotlib.colors import hsv_to_rgb + +def normalize(arr): + """Used for normalizing data in array based on min/max values""" + arrMin = np.min(arr) + arrMax = np.max(arr) + arr = arr - arrMin + return arr / (arrMax - arrMin) + +def magnitude_oscillating(zz): + """ + Converts a complex 2D array `zz` to an RGB image with normal domain coloring. + + Hue is taken from the complex argument of `zz`. + Saturation and value covary with the logarithm of the magnitude of `zz`, + effectively giving logarithmic countours. + """ + H = normalize(np.angle(zz) % (2.0 * np.pi)) # Hue determined by arg(z) + r = np.log2(1.0 + np.abs(zz)) + S = (1.0 + np.abs(np.sin(2.0 * np.pi * r))) / 2.0 + V = (1.0 + np.abs(np.cos(2.0 * np.pi * r))) / 2.0 + + return hsv_to_rgb(np.dstack((H, S, V))) + +def raw_magnitude_oscillating(zz): + """ + Converts a complex 2D array `zz` to an RGB image. + Similar to `magnitude_oscillating`, but with a "rawer" conversion to RGB. + + Generally similar to `magnitude_oscillating`, with R as hue, + G as saturation, and B as value. + """ + h = normalize(np.angle(zz) % (2.0 * np.pi)) # Hue determined by arg(z) + r = np.log2(1.0 + np.abs(zz)) + s = (1.0 + np.abs(np.sin(2.0 * np.pi * r))) / 2.0 + v = (1.0 + np.abs(np.cos(2.0 * np.pi * r))) / 2.0 + + r = np.empty_like(h) + g = np.empty_like(h) + b = np.empty_like(h) + + i = (h * 6.0).astype(int) + f = (h * 6.0) - i + p = v * (1.0 - s) + q = v * (1.0 - s * f) + t = v * (1.0 - s * (1.0 - f)) + + idx = i % 6 == 0 + r[idx] = v[idx] + g[idx] = t[idx] + b[idx] = p[idx] + + idx = i == 1 + r[idx] = q[idx] + g[idx] = v[idx] + b[idx] = p[idx] + + idx = i == 2 + r[idx] = p[idx] + g[idx] = v[idx] + b[idx] = t[idx] + + idx = i == 3 + r[idx] = p[idx] + g[idx] = q[idx] + b[idx] = v[idx] + + idx = i == 4 + r[idx] = t[idx] + g[idx] = p[idx] + b[idx] = v[idx] + + idx = i == 5 + r[idx] = v[idx] + g[idx] = p[idx] + b[idx] = q[idx] + + idx = s == 0 + r[idx] = v[idx] + g[idx] = v[idx] + b[idx] = v[idx] + + return np.stack([r, g, b], axis=-1) + +def green_magnitude(zz, expand=1.0): + """ + Converts a complex 2D array `zz` to an RGB image. + + Small magnitues are colored black, large ones are white, and values + between appear green. + The rate at which this occurs is controlled by `expand`. + """ + absz = np.abs(zz) + r = absz * 0.5 / expand + g = absz * 1.00 / expand + b = absz * 0.5 / expand + r = np.clip(r, 0, 1) + g = np.clip(g, 0, 1) + b = np.clip(b, 0, 1) + return np.dstack((r, g, b)) diff --git a/dcolor/dcolor.py b/dcolor/dcolor.py index c851d72..f190a91 100644 --- a/dcolor/dcolor.py +++ b/dcolor/dcolor.py @@ -1,46 +1,28 @@ #!/usr/bin/env python3 import matplotlib.pyplot as plt -import matplotlib as mpl import numpy as np -import matplotlib.colors as mcolors -from matplotlib.colors import hsv_to_rgb +import dcolor.color_maps as color_maps class DColor: def __init__(self, samples=1000, xmin=-8.0, xmax=8.0, ymin=-8.0, ymax=8.0): - mpl.rcParams["toolbar"] = "None" + # mpl.rcParams["toolbar"] = "None" self._samples = samples # axes self._xmin = xmin self._xmax = xmax self._ymin = ymin self._ymax = ymax - self.makeDomain() def makeDomain(self): """Create the domains for Real (x) and Imaginary (y) values respectively""" x = np.linspace(self._xmin, self._xmax, self._samples) y = np.linspace(self._ymin, self._ymax, self._samples) - self.xx, self.yy = np.meshgrid(x, y) + xx, yy = np.meshgrid(x, y) + return xx + 1j * yy - def makeColorModel(self, zz): - """Create the HSV color model for the function domain that will be plotted""" - H = self.normalize(np.angle(zz) % (2.0 * np.pi)) # Hue determined by arg(z) - r = np.log2(1.0 + np.abs(zz)) - S = (1.0 + np.abs(np.sin(2.0 * np.pi * r))) / 2.0 - V = (1.0 + np.abs(np.cos(2.0 * np.pi * r))) / 2.0 - - return H, S, V - - def normalize(self, arr): - """Used for normalizing data in array based on min/max values""" - arrMin = np.min(arr) - arrMax = np.max(arr) - arr = arr - arrMin - return arr / (arrMax - arrMin) - - def plot(self, f, xdim=8, ydim=8, plt_dpi=100, title=""): + def plot(self, f, color_map=color_maps.magnitude_oscillating, xdim=8, ydim=8, plt_dpi=100, title=""): """Plot a complex-valued function Arguments: f -- a (preferably) lambda-function defining a complex-valued function @@ -49,9 +31,8 @@ def plot(self, f, xdim=8, ydim=8, plt_dpi=100, title=""): ydim -- y dimensions plt_dpi -- density of pixels per inch """ - zz = f(self.z(self.xx, self.yy)) - H, S, V = self.makeColorModel(zz) - rgb = hsv_to_rgb(np.dstack((H, S, V))) + zz = f(self.makeDomain()) + rgb = color_map(zz) fig = plt.figure(figsize=(xdim, ydim), dpi=plt_dpi) ax = fig.gca() @@ -64,9 +45,3 @@ def plot(self, f, xdim=8, ydim=8, plt_dpi=100, title=""): ax.get_yaxis().set_visible(True) ax.set_title(title) plt.show() - - def z(self, x, y): - """return complex number x+iy - If inputs are arrays, then it returns an array with corresponding x_j+iy_j values - """ - return x + 1j * y diff --git a/dcolor/hsvcolor.py b/dcolor/hsvcolor.py deleted file mode 100644 index c2f945f..0000000 --- a/dcolor/hsvcolor.py +++ /dev/null @@ -1,119 +0,0 @@ -#!/usr/bin/env python3 - -import matplotlib.pyplot as plt -import matplotlib as mpl -import numpy as np -import matplotlib.colors as mcolors - - -class DColor: - def __init__(self, samples=1000, xmin=-8, xmax=8, ymin=-8, ymax=8): - mpl.rcParams["toolbar"] = "None" - self._samples = samples - # axes - self._xmin = xmin - self._xmax = xmax - self._ymin = ymin - self._ymax = ymax - self.makeDomain() - - def makeDomain(self): - """Create the domains for Real (x) and Imaginary (y) values respectively""" - x = np.linspace(self._xmin, self._xmax, self._samples) - y = np.linspace(self._ymin, self._ymax, self._samples) - self.xx, self.yy = np.meshgrid(x, y) - - def makeColorModel(self, zz): - """Create the HSV color model for the function domain that will be plotted""" - h = self.normalize(np.angle(zz) % (2.0 * np.pi)) # Hue determined by arg(z) - r = np.log2(1.0 + np.abs(zz)) - s = (1.0 + np.abs(np.sin(2.0 * np.pi * r))) / 2.0 - v = (1.0 + np.abs(np.cos(2.0 * np.pi * r))) / 2.0 - - r = np.empty_like(h) - g = np.empty_like(h) - b = np.empty_like(h) - - i = (h * 6.0).astype(int) - f = (h * 6.0) - i - p = v * (1.0 - s) - q = v * (1.0 - s * f) - t = v * (1.0 - s * (1.0 - f)) - - idx = i % 6 == 0 - r[idx] = v[idx] - g[idx] = t[idx] - b[idx] = p[idx] - - idx = i == 1 - r[idx] = q[idx] - g[idx] = v[idx] - b[idx] = p[idx] - - idx = i == 2 - r[idx] = p[idx] - g[idx] = v[idx] - b[idx] = t[idx] - - idx = i == 3 - r[idx] = p[idx] - g[idx] = q[idx] - b[idx] = v[idx] - - idx = i == 4 - r[idx] = t[idx] - g[idx] = p[idx] - b[idx] = v[idx] - - idx = i == 5 - r[idx] = v[idx] - g[idx] = p[idx] - b[idx] = q[idx] - - idx = s == 0 - r[idx] = v[idx] - g[idx] = v[idx] - b[idx] = v[idx] - - rgb = np.stack([r, g, b], axis=-1) - - return rgb - - def normalize(self, arr): - """Used for normalizing data in array based on min/max values""" - arrMin = np.min(arr) - arrMax = np.max(arr) - arr = arr - arrMin - return arr / (arrMax - arrMin) - - def plot(self, f, xdim=8, ydim=8, plt_dpi=100, title=""): - """Plot a complex-valued function - Arguments: - f -- a (preferably) lambda-function defining a complex-valued function - Keyword Arguments: - xdim -- x dimensions - ydim -- y dimensions - plt_dpi -- density of pixels per inch - """ - fig = plt.figure(figsize=(xdim, ydim), dpi=plt_dpi) - ax = fig.gca() - val = str("x xmin=") - val = val + str(self._xmin) + " xmax=" + str(self._xmax) - ax.set_xlabel(val) - val = str("y ymin=") - val = val + str(self._ymin) + " xmax=" + str(self._ymax) - ax.set_ylabel(val) - zz = f(self.z(self.xx, self.yy)) - image = self.makeColorModel(zz) - ax.imshow(image) - ax.invert_yaxis() # make CCW orientation positive - ax.get_xaxis().set_visible(True) - ax.get_yaxis().set_visible(True) - ax.set_title(title) - plt.show() - - def z(self, x, y): - """return complex number x+iy - If inputs are arrays, then it returns an array with corresponding x_j+iy_j values - """ - return x + 1j * y diff --git a/dcolor/rgbcolor.py b/dcolor/rgbcolor.py deleted file mode 100644 index a3b02ff..0000000 --- a/dcolor/rgbcolor.py +++ /dev/null @@ -1,66 +0,0 @@ -#!/usr/bin/env python3 - -import matplotlib.pyplot as plt -import matplotlib as mpl -import numpy as np -import matplotlib.colors as mcolors - - -class DColor: - def __init__(self, samples=1000, xmin=-8, xmax=8, ymin=-8, ymax=8): - mpl.rcParams["toolbar"] = "None" - self._samples = samples - # axes - self._xmin = xmin - self._xmax = xmax - self._ymin = ymin - self._ymax = ymax - self.makeDomain() - - def makeDomain(self): - """Create the domains for Real (x) and Imaginary (y) values respectively""" - x = np.linspace(self._xmin, self._xmax, self._samples) - y = np.linspace(self._ymin, self._ymax, self._samples) - self.xx, self.yy = np.meshgrid(x, y) - - def makeRGB(self, zz, expand): - absz = np.abs(zz) - expand = 1 / expand - r = expand * absz * 0.5 - g = expand * absz * 1.00 - b = expand * absz * 0.5 - r = np.clip(r, 0, 1) - g = np.clip(g, 0, 1) - b = np.clip(b, 0, 1) - return np.dstack((r, g, b)) - - def plot(self, f, xdim=8, ydim=8, plt_dpi=100, title="none", expand=1): - """Plot a complex-valued functionq - f -- a (preferably) lambda-function defining a complex-valued function - Keyword Arguments: - xdim -- x dimensions - ydim -- y dimensions - plt_dpi -- density of pixels per inch - """ - zz = f(self.z(self.xx, self.yy)) - rgb = self.makeRGB(zz, expand) - fig = plt.figure(figsize=(xdim, ydim), dpi=plt_dpi) - ax = fig.gca() - val = str("x xmin=") - val = val + str(self._xmin) + " xmax=" + str(self._xmax) - ax.set_xlabel(val) - val = str("y ymin=") - val = val + str(self._ymin) + " xmax=" + str(self._ymax) - ax.set_ylabel(val) - ax.imshow(rgb) - ax.invert_yaxis() # make CCW orientation positive - ax.get_xaxis().set_visible(True) - ax.get_yaxis().set_visible(True) - ax.set_title(title) - plt.show() - - def z(self, x, y): - """return complex number x+iy - If inputs are arrays, then it returns an array with corresponding x_j+iy_j values - """ - return x + 1j * y From 53845d54b57a7ee3a5e4ffc614ec711a0c3b1c0e Mon Sep 17 00:00:00 2001 From: queue-miscreant Date: Thu, 18 Jul 2024 05:54:30 -0500 Subject: [PATCH 3/8] update examples --- examples/dcolorExample.py | 4 ++-- examples/example.py | 34 ++++++++++++++++--------------- examples/hsvcolorExample.py | 6 +++--- examples/rgbcolorExample.py | 6 +++--- examples/rgbcolorExampleExpand.py | 11 +++++----- 5 files changed, 32 insertions(+), 29 deletions(-) diff --git a/examples/dcolorExample.py b/examples/dcolorExample.py index 33eedf2..57720a4 100755 --- a/examples/dcolorExample.py +++ b/examples/dcolorExample.py @@ -1,5 +1,5 @@ -from dcolor import DColor +from dcolor import DColor, magnitude_oscillating import example dc = DColor() -example.example(dc) +example.example(dc, color_map=magnitude_oscillating) diff --git a/examples/example.py b/examples/example.py index 3f768fe..63cadca 100755 --- a/examples/example.py +++ b/examples/example.py @@ -2,27 +2,29 @@ class example: - def __init__(self, dc): - dc.plot(lambda z: z, title="z") - dc.plot(lambda z: z**z, title="z**z") - dc.plot(lambda z: z + 4, title="z+4") - dc.plot(lambda z: z - 4, title="z-4") - dc.plot(lambda z: z + 4j, title="z+4j") - dc.plot(lambda z: z - 4j, title="z-4j") + def __init__(self, dc, color_map): + dc.plot(lambda z: z, title="z", color_map=color_map) + dc.plot(lambda z: z**z, title="z**z", color_map=color_map) + dc.plot(lambda z: z + 4, title="z+4", color_map=color_map) + dc.plot(lambda z: z - 4, title="z-4", color_map=color_map) + dc.plot(lambda z: z + 4j, title="z+4j", color_map=color_map) + dc.plot(lambda z: z - 4j, title="z-4j", color_map=color_map) dc.plot( lambda z: (((z + 4) * (z - 4) * (z + 4j) * (z - 4j)) ** (1 / 8)), title="(((z+4)*(z-4)*(z+4j)*(z-4j))**(1/8))", + color_map=color_map, ) - dc.plot(lambda z: 1 / z, title="1/z") - dc.plot(lambda z: (np.sin(1 / z)), title="sin(1/z)") - dc.plot(lambda z: (np.cos(1 / z)), title="cos(1/z)") - dc.plot(lambda z: np.sin(z), title="sin(z)") - dc.plot(lambda z: np.cos(z), title="cos(z)") - dc.plot(lambda z: z**3 - 1, title="z**3 -1") - dc.plot(lambda z: z**2 + 4 + 4j, title="z**2+4+4j") - dc.plot(lambda z: z**8 + 4 + 4j, title="z**8+4+4j") - dc.plot(lambda z: z**16 + 4 + 4j, title="z**16+4+4j") + dc.plot(lambda z: 1 / z, title="1/z", color_map=color_map) + dc.plot(lambda z: (np.sin(1 / z)), title="sin(1/z)", color_map=color_map) + dc.plot(lambda z: (np.cos(1 / z)), title="cos(1/z)", color_map=color_map) + dc.plot(lambda z: np.sin(z), title="sin(z)", color_map=color_map) + dc.plot(lambda z: np.cos(z), title="cos(z)", color_map=color_map) + dc.plot(lambda z: z**3 - 1, title="z**3 -1", color_map=color_map) + dc.plot(lambda z: z**2 + 4 + 4j, title="z**2+4+4j", color_map=color_map) + dc.plot(lambda z: z**8 + 4 + 4j, title="z**8+4+4j", color_map=color_map) + dc.plot(lambda z: z**16 + 4 + 4j, title="z**16+4+4j", color_map=color_map) dc.plot( lambda z: ((z**2 - 1) * (z - 2 - 1j) ** 2) / (z**2 + 2 + 2j), title="((z**2-1)*(z-2- 1j)**2)/(z**2 +2+ 2j)", + color_map=color_map, ) diff --git a/examples/hsvcolorExample.py b/examples/hsvcolorExample.py index 9356d54..91aa566 100755 --- a/examples/hsvcolorExample.py +++ b/examples/hsvcolorExample.py @@ -1,5 +1,5 @@ -from dcolor import DColorHSV +from dcolor import DColor, raw_magnitude_oscillating import example -dc = DColorHSV() -example.example(dc) +dc = DColor() +example.example(dc, color_map=raw_magnitude_oscillating) diff --git a/examples/rgbcolorExample.py b/examples/rgbcolorExample.py index 2d0d524..d89f57c 100755 --- a/examples/rgbcolorExample.py +++ b/examples/rgbcolorExample.py @@ -1,5 +1,5 @@ -from dcolor import DColorRGB +from dcolor import DColor, green_magnitude import example -dc = DColorRGB() -example.example(dc) +dc = DColor() +example.example(dc, color_map=green_magnitude) diff --git a/examples/rgbcolorExampleExpand.py b/examples/rgbcolorExampleExpand.py index f50bcf8..3a1e55d 100755 --- a/examples/rgbcolorExampleExpand.py +++ b/examples/rgbcolorExampleExpand.py @@ -1,6 +1,7 @@ -from dcolor import DColorRGB +from functools import partial +from dcolor import DColor, green_magnitude -dc = DColorRGB() -dc.plot(lambda z: z**2 + 4 + 4j, title="z**2+4+4j") -dc.plot(lambda z: z**8 + 4 + 4j, title="z**8+4+4j expand 8", expand=8) -dc.plot(lambda z: z**16 + 4 + 4j, title="z**16+4+4j expand 16", expand=16) +dc = DColor() +dc.plot(lambda z: z**2 + 4 + 4j, title="z**2+4+4j", color_map=partial(green_magnitude, expand=8)) +dc.plot(lambda z: z**8 + 4 + 4j, title="z**8+4+4j expand 8", color_map=partial(green_magnitude, expand=8)) +dc.plot(lambda z: z**16 + 4 + 4j, title="z**16+4+4j expand 16", color_map=partial(green_magnitude, expand=16)) From 4960c717e37ee0d3fc65e208c5509cda343839c9 Mon Sep 17 00:00:00 2001 From: queue-miscreant Date: Sat, 27 Jul 2024 08:26:16 -0500 Subject: [PATCH 4/8] rewrite DColor class to be more imperative, add type aliases --- dcolor/__init__.py | 8 +- dcolor/color_maps.py | 29 +++++-- dcolor/dcolor.py | 187 ++++++++++++++++++++++++++++++++++--------- examples/example.py | 42 ++++++---- 4 files changed, 203 insertions(+), 63 deletions(-) diff --git a/dcolor/__init__.py b/dcolor/__init__.py index 8969069..9309e24 100644 --- a/dcolor/__init__.py +++ b/dcolor/__init__.py @@ -1,2 +1,6 @@ -from .dcolor import DColor -from .color_maps import magnitude_oscillating, raw_magnitude_oscillating, green_magnitude +from .dcolor import plot +from .color_maps import ( + magnitude_oscillating, + raw_magnitude_oscillating, + green_magnitude, +) diff --git a/dcolor/color_maps.py b/dcolor/color_maps.py index 70a9910..aa19a1b 100644 --- a/dcolor/color_maps.py +++ b/dcolor/color_maps.py @@ -1,14 +1,29 @@ -import numpy as np +from typing import Callable, Literal +from typing_extensions import TypeAlias, TypeAliasType + from matplotlib.colors import hsv_to_rgb +import numpy as np +import numpy.typing as npt + +ComplexPlane = TypeAliasType( + "ComplexPlane", np.ndarray[Literal[2], np.dtype[np.complexfloating]] +) # 2D representation of the complex plane +Image = TypeAliasType( + "Image", np.ndarray[Literal[3], np.dtype[np.floating]] +) # RGB image +# TODO: if going the Matplotlib-style norm, cmap kwargs, this may need its own class +ComplexColorMap: TypeAlias = Callable[[ComplexPlane], Image] # C -> [0, 1]^3 -def normalize(arr): + +def normalize(arr: npt.NDArray) -> npt.NDArray: """Used for normalizing data in array based on min/max values""" arrMin = np.min(arr) arrMax = np.max(arr) arr = arr - arrMin return arr / (arrMax - arrMin) -def magnitude_oscillating(zz): + +def magnitude_oscillating(zz: ComplexPlane) -> Image: """ Converts a complex 2D array `zz` to an RGB image with normal domain coloring. @@ -16,14 +31,15 @@ def magnitude_oscillating(zz): Saturation and value covary with the logarithm of the magnitude of `zz`, effectively giving logarithmic countours. """ - H = normalize(np.angle(zz) % (2.0 * np.pi)) # Hue determined by arg(z) + H = (np.angle(zz) % (2.0 * np.pi)) / (2.0 * np.pi) # Hue determined by arg(z) r = np.log2(1.0 + np.abs(zz)) S = (1.0 + np.abs(np.sin(2.0 * np.pi * r))) / 2.0 V = (1.0 + np.abs(np.cos(2.0 * np.pi * r))) / 2.0 return hsv_to_rgb(np.dstack((H, S, V))) -def raw_magnitude_oscillating(zz): + +def raw_magnitude_oscillating(zz: ComplexPlane) -> Image: """ Converts a complex 2D array `zz` to an RGB image. Similar to `magnitude_oscillating`, but with a "rawer" conversion to RGB. @@ -83,7 +99,8 @@ def raw_magnitude_oscillating(zz): return np.stack([r, g, b], axis=-1) -def green_magnitude(zz, expand=1.0): + +def green_magnitude(zz: ComplexPlane, expand=1.0) -> Image: """ Converts a complex 2D array `zz` to an RGB image. diff --git a/dcolor/dcolor.py b/dcolor/dcolor.py index f190a91..a0e7ed2 100644 --- a/dcolor/dcolor.py +++ b/dcolor/dcolor.py @@ -1,47 +1,158 @@ #!/usr/bin/env python3 +from typing import Callable, Optional, Tuple +from typing_extensions import TypeAliasType import matplotlib.pyplot as plt +from matplotlib.axes import Axes import numpy as np +import numpy.typing as npt import dcolor.color_maps as color_maps -class DColor: - def __init__(self, samples=1000, xmin=-8.0, xmax=8.0, ymin=-8.0, ymax=8.0): - # mpl.rcParams["toolbar"] = "None" +ComplexFunction = TypeAliasType( + "ComplexFunction", + Callable[[npt.NDArray[np.complexfloating]], npt.NDArray[np.complexfloating]], +) + + +def _make_domain( + xmin: float, + xmax: float, + ymin: float, + ymax: float, + samples: int +) -> color_maps.ComplexPlane: + """Create the domains for Real (x) and Imaginary (y) values respectively""" + x = np.linspace(xmin, xmax, samples) + y = np.linspace(ymin, ymax, samples) + xx, yy = np.meshgrid(x, y) + return xx + 1j * yy + + +class _DColor: + """ + A wrapper object around a complex function for plotting using matplotlib. + + `f` -- The complex-valued function to plot. A callable which accepts numpy array of complex values. + + Optional keyword arguments: + `cmap` -- A function which converts a complex number to an RGB color + (or an array of the former to an array of the latter). + The default is `dcolor.cmap.magnitude_oscillating` + + `samples` -- The number of samples along each axis to use for plotting. + Note that the square of this value is how many values are actually calculated. + """ + + def __init__( + self, + f: ComplexFunction, + *, + cmap: color_maps.ComplexColorMap = color_maps.magnitude_oscillating, + samples=1000, + ): + self._function = f self._samples = samples - # axes - self._xmin = xmin - self._xmax = xmax - self._ymin = ymin - self._ymax = ymax - - def makeDomain(self): - """Create the domains for Real (x) and Imaginary (y) values respectively""" - x = np.linspace(self._xmin, self._xmax, self._samples) - y = np.linspace(self._ymin, self._ymax, self._samples) - xx, yy = np.meshgrid(x, y) - return xx + 1j * yy - - def plot(self, f, color_map=color_maps.magnitude_oscillating, xdim=8, ydim=8, plt_dpi=100, title=""): - """Plot a complex-valued function - Arguments: - f -- a (preferably) lambda-function defining a complex-valued function - Keyword Arguments: - xdim -- x dimensions - ydim -- y dimensions - plt_dpi -- density of pixels per inch + # Extra + self._cmap = cmap + + self._need_redraw = False + self.axes: Optional[Axes] = None + + def _set_need_redraw(self): + """Set that the axes need to redraw. Used as a callback for mouse releases.""" + self._need_redraw = True + + def _plot(self, clear: bool = False): + """ + Replot the contained function with the current axes limits. + Intended to be used as a callback after axes bounds change. """ - zz = f(self.makeDomain()) - rgb = color_map(zz) - - fig = plt.figure(figsize=(xdim, ydim), dpi=plt_dpi) - ax = fig.gca() - ax.imshow(rgb, extent=(self._xmin, self._xmax, self._ymax, self._ymin)) # y extents backwards for inverted y axis - ax.axhline(y=0, color='k') - ax.axvline(x=0, color='k') - ax.grid(True, which='both', linestyle="dashed") - ax.invert_yaxis() # make CCW orientation positive - ax.get_xaxis().set_visible(True) - ax.get_yaxis().set_visible(True) - ax.set_title(title) - plt.show() + if self.axes is None: + return + + if clear: + for image in self.axes.images: + image.remove() + + xmin, xmax = self.axes.get_xlim() + ymin, ymax = self.axes.get_ylim() + + zz = self._function(_make_domain(xmin, xmax, ymin, ymax, self._samples)) + rgb = self._cmap(zz) + # Plot the image with y extents backwards + self.axes.imshow(rgb, origin="lower", extent=(xmin, xmax, ymin, ymax)) + + def plot( + self, + axes: Optional[Axes] = None, + xlim: Tuple[float, float] = (-8.0, 8.0), + ylim: Tuple[float, float] = (-8.0, 8.0), + grid: bool = True, + ): + """ + Plot the contained function on the given boundaries, add axis labels and add gridlines. + """ + if axes is None: + self.axes = plt.gca() + axes = self.axes + else: + self.axes = axes + + axes.set_xlim(xlim) + axes.set_ylim(ylim) + + self._plot() + + axes.set_xlabel("$\\Re$") + axes.set_ylabel("$\\Im$") + axes.axhline(y=0, color="k") + axes.axvline(x=0, color="k") + if grid: + axes.grid(True, which="both", linestyle="dashed") + +def plot( + f: ComplexFunction, + *, + axes: Optional[Axes] = None, + xlim: Tuple[float, float] = (-8.0, 8.0), + ylim: Tuple[float, float] = (-8.0, 8.0), + cmap: color_maps.ComplexColorMap = color_maps.magnitude_oscillating, + samples: int = 1000, + grid: bool = True, +) -> _DColor: + """Plot a complex-valued function `f`. By default, this uses the current matplotlib axes. + Note that the current figure's DPI settings will be used to draw the image. + If this matters to you, call `Figure.set_dpi` beforehand. + + Arguments: + `f` -- The complex-valued function to plot. A callable which accepts numpy array of complex values. + + Optional keyword arguments: + `axes` -- The matplotlib axes on which to plot. Defaults to the current axes. + + `xlim` -- The x (real) limits to use when plotting + + `ylim` -- The y (imaginary) limits to use when plotting + + `cmap` -- A function which converts a complex number to an RGB color + (or an array of the former to an array of the latter). + The default is `dcolor.color_maps.magnitude_oscillating` + + `samples` -- The number of samples along each axis to use for plotting. + Note that the square of this value is how many values are actually calculated. + + `grid` -- Whether or not to draw gridlines at the tick positions. Defaults To true. + """ + ret = _DColor( + f, + cmap=cmap, + samples=samples + ) + ret.plot( + axes=axes, + xlim=xlim, + ylim=ylim, + grid=grid + ) + return ret diff --git a/examples/example.py b/examples/example.py index 63cadca..782e97f 100755 --- a/examples/example.py +++ b/examples/example.py @@ -1,29 +1,37 @@ +import matplotlib.pyplot as plt import numpy as np +def dcplot(dc, f, title, color_map): + dc.plot(f, color_map=color_map) + plt.title(title) + plt.show() class example: def __init__(self, dc, color_map): - dc.plot(lambda z: z, title="z", color_map=color_map) - dc.plot(lambda z: z**z, title="z**z", color_map=color_map) - dc.plot(lambda z: z + 4, title="z+4", color_map=color_map) - dc.plot(lambda z: z - 4, title="z-4", color_map=color_map) - dc.plot(lambda z: z + 4j, title="z+4j", color_map=color_map) - dc.plot(lambda z: z - 4j, title="z-4j", color_map=color_map) - dc.plot( + dcplot(dc, lambda z: z, title="z", color_map=color_map) + dcplot(dc, lambda z: 1/z, title="z", color_map=color_map) + dcplot(dc, lambda z: z**z, title="z**z", color_map=color_map) + dcplot(dc, lambda z: z + 4, title="z+4", color_map=color_map) + dcplot(dc, lambda z: z - 4, title="z-4", color_map=color_map) + dcplot(dc, lambda z: z + 4j, title="z+4j", color_map=color_map) + dcplot(dc, lambda z: z - 4j, title="z-4j", color_map=color_map) + dcplot( + dc, lambda z: (((z + 4) * (z - 4) * (z + 4j) * (z - 4j)) ** (1 / 8)), title="(((z+4)*(z-4)*(z+4j)*(z-4j))**(1/8))", color_map=color_map, ) - dc.plot(lambda z: 1 / z, title="1/z", color_map=color_map) - dc.plot(lambda z: (np.sin(1 / z)), title="sin(1/z)", color_map=color_map) - dc.plot(lambda z: (np.cos(1 / z)), title="cos(1/z)", color_map=color_map) - dc.plot(lambda z: np.sin(z), title="sin(z)", color_map=color_map) - dc.plot(lambda z: np.cos(z), title="cos(z)", color_map=color_map) - dc.plot(lambda z: z**3 - 1, title="z**3 -1", color_map=color_map) - dc.plot(lambda z: z**2 + 4 + 4j, title="z**2+4+4j", color_map=color_map) - dc.plot(lambda z: z**8 + 4 + 4j, title="z**8+4+4j", color_map=color_map) - dc.plot(lambda z: z**16 + 4 + 4j, title="z**16+4+4j", color_map=color_map) - dc.plot( + dcplot(dc, lambda z: 1 / z, title="1/z", color_map=color_map) + dcplot(dc, lambda z: (np.sin(1 / z)), title="sin(1/z)", color_map=color_map) + dcplot(dc, lambda z: (np.cos(1 / z)), title="cos(1/z)", color_map=color_map) + dcplot(dc, lambda z: np.sin(z), title="sin(z)", color_map=color_map) + dcplot(dc, lambda z: np.cos(z), title="cos(z)", color_map=color_map) + dcplot(dc, lambda z: z**3 - 1, title="z**3 -1", color_map=color_map) + dcplot(dc, lambda z: z**2 + 4 + 4j, title="z**2+4+4j", color_map=color_map) + dcplot(dc, lambda z: z**8 + 4 + 4j, title="z**8+4+4j", color_map=color_map) + dcplot(dc, lambda z: z**16 + 4 + 4j, title="z**16+4+4j", color_map=color_map) + dcplot( + dc, lambda z: ((z**2 - 1) * (z - 2 - 1j) ** 2) / (z**2 + 2 + 2j), title="((z**2-1)*(z-2- 1j)**2)/(z**2 +2+ 2j)", color_map=color_map, From 52c860557a87b3da81eed3e0e7b6aa8053e2e75d Mon Sep 17 00:00:00 2001 From: queue-miscreant Date: Sat, 27 Jul 2024 13:04:18 -0500 Subject: [PATCH 5/8] rewrite example script --- dcolor/__init__.py | 2 +- dcolor/color_maps.py | 2 + examples/dcolorExample.py | 5 - examples/example.py | 275 ++++++++++++++++++++++++++---- examples/hsvcolorExample.py | 5 - examples/rgbcolorExample.py | 5 - examples/rgbcolorExampleExpand.py | 7 - 7 files changed, 245 insertions(+), 56 deletions(-) delete mode 100755 examples/dcolorExample.py delete mode 100755 examples/hsvcolorExample.py delete mode 100755 examples/rgbcolorExample.py delete mode 100755 examples/rgbcolorExampleExpand.py diff --git a/dcolor/__init__.py b/dcolor/__init__.py index 9309e24..b8e98f6 100644 --- a/dcolor/__init__.py +++ b/dcolor/__init__.py @@ -1,4 +1,4 @@ -from .dcolor import plot +from .dcolor import plot, ComplexFunction from .color_maps import ( magnitude_oscillating, raw_magnitude_oscillating, diff --git a/dcolor/color_maps.py b/dcolor/color_maps.py index aa19a1b..9d1a820 100644 --- a/dcolor/color_maps.py +++ b/dcolor/color_maps.py @@ -5,6 +5,8 @@ import numpy as np import numpy.typing as npt +__all__ = ["magnitude_oscillating", "raw_magnitude_oscillating", "green_magnitude"] + ComplexPlane = TypeAliasType( "ComplexPlane", np.ndarray[Literal[2], np.dtype[np.complexfloating]] ) # 2D representation of the complex plane diff --git a/examples/dcolorExample.py b/examples/dcolorExample.py deleted file mode 100755 index 57720a4..0000000 --- a/examples/dcolorExample.py +++ /dev/null @@ -1,5 +0,0 @@ -from dcolor import DColor, magnitude_oscillating -import example - -dc = DColor() -example.example(dc, color_map=magnitude_oscillating) diff --git a/examples/example.py b/examples/example.py index 782e97f..7439d60 100755 --- a/examples/example.py +++ b/examples/example.py @@ -1,38 +1,247 @@ +#!/usr/bin/env python3 +""" +Plot a selection of functions to see what they look like under various plotting schemes. +""" + +import argparse +from dataclasses import dataclass +from pprint import pprint +import sys +from typing import List, Optional + import matplotlib.pyplot as plt import numpy as np +import dcolor +import dcolor.color_maps as cmaps + +FILE_DPI = 1000 + + +@dataclass +class DomainPlot: + function: dcolor.ComplexFunction + title: str + + +@dataclass +class DomainPlotGroup: + plots: List[DomainPlot] + name: str + + +LINEAR_PLOTS = DomainPlotGroup( + plots=[ + DomainPlot(function=lambda z: z, title="$f(z) = z$"), + DomainPlot(function=lambda z: z + 4, title="$f(z) = z + 4$"), + DomainPlot(function=lambda z: z - 4, title="$f(z) = z - 4$"), + DomainPlot(function=lambda z: z + 4j, title="$f(z) = z + 4j$"), + DomainPlot(function=lambda z: z - 4j, title="$f(z) = z - 4j$"), + ], + name="linear", +) + +POLYNOMIAL_PLOTS = DomainPlotGroup( + plots=[ + DomainPlot(function=lambda z: z**3 - 1, title="$f(z) = z^3 - 1$"), + DomainPlot(function=lambda z: z**2 + 4 + 4j, title="$f(z) = z^2 + 4 + 4j$"), + DomainPlot(function=lambda z: z**8 + 4 + 4j, title="$f(z) = z^8 + 4 + 4j$"), + DomainPlot(function=lambda z: z**16 + 4 + 4j, title="$f(z) = z^16 + 4 + 4j$"), + ], + name="polynomial", +) + +ALGEBRAIC_PLOTS = DomainPlotGroup( + plots=[ + DomainPlot(function=lambda z: 1 / z, title="$f(z) = \\frac{1}{z}$"), + DomainPlot( + function=lambda z: (((z + 4) * (z - 4) * (z + 4j) * (z - 4j)) ** (1 / 8)), + title="$f(z) = ((z+4)(z-4)(z + 4j)(z - 4j))^{\\frac{1}{8}}$", + ), + DomainPlot( + function=lambda z: ((z**2 - 1) * (z - 2 - 1j) ** 2) / (z**2 + 2 + 2j), + title="$f(z) = \\frac{(z^2 - 1)(z - 2 - 1j)^2}{z^2 +2+ 2j}$", + ), + ], + name="algebraic", +) + +SPECIAL_PLOTS = DomainPlotGroup( + plots=[ + DomainPlot(function=lambda z: np.sin(z), title="$f(z) = \\sin(z)$"), + DomainPlot(function=lambda z: np.cos(z), title="$f(z) = \\cos(z)$"), + DomainPlot( + function=lambda z: np.sin(1 / z), title="$f(z) = \\sin(\\frac{1}{z})$" + ), + DomainPlot( + function=lambda z: np.cos(1 / z), title="$f(z) = \\cos(\\frac{1}{z})$" + ), + DomainPlot(function=lambda z: z**z, title="$f(z) = z^z$"), + ], + name="special", +) + +ALL_GROUPS = [LINEAR_PLOTS, POLYNOMIAL_PLOTS, ALGEBRAIC_PLOTS, SPECIAL_PLOTS] + + +def plot_one(plot: DomainPlot, color_map, file=None): + """Plot an example plot""" + plt.gcf().clear() + dcolor.plot(plot.function, cmap=color_map) + plt.title(plot.title) + plt.tight_layout() + + if file is not None: + plt.savefig(file) + else: + plt.show() + + +def plot_group(group: DomainPlotGroup, color_map, file=None): + """Plot a group of example plots on one matplotlib figure""" + plt.gcf().clear() + for i, plot in enumerate(group.plots): + if i > 6: + print(f"Omitting plot {i} for {plot.title}") + continue + plt.subplot(2 if len(group.plots) > 3 else 1, 3, i + 1) + dcolor.plot(plot.function, cmap=color_map) + plt.title(plot.title) + + plt.tight_layout() -def dcplot(dc, f, title, color_map): - dc.plot(f, color_map=color_map) - plt.title(title) - plt.show() - -class example: - def __init__(self, dc, color_map): - dcplot(dc, lambda z: z, title="z", color_map=color_map) - dcplot(dc, lambda z: 1/z, title="z", color_map=color_map) - dcplot(dc, lambda z: z**z, title="z**z", color_map=color_map) - dcplot(dc, lambda z: z + 4, title="z+4", color_map=color_map) - dcplot(dc, lambda z: z - 4, title="z-4", color_map=color_map) - dcplot(dc, lambda z: z + 4j, title="z+4j", color_map=color_map) - dcplot(dc, lambda z: z - 4j, title="z-4j", color_map=color_map) - dcplot( - dc, - lambda z: (((z + 4) * (z - 4) * (z + 4j) * (z - 4j)) ** (1 / 8)), - title="(((z+4)*(z-4)*(z+4j)*(z-4j))**(1/8))", - color_map=color_map, + if file is not None: + plt.gcf().set_size_inches(10, 7.5) + plt.savefig(file) + else: + plt.show() + + +def plot_single(which, color_map, file_prefix: Optional[str] = None): + """Plot a single plot from available""" + plot_groups = which.split(".") + + group_name = plot_groups[0] + target_group = next( + (group for group in ALL_GROUPS if group.name == group_name), None + ) + if target_group is None: + print( + f"Could not interpret {plot_groups[1]} as a valid group name.\nValid names are:" + ) + pprint([group.name for group in ALL_GROUPS]) + sys.exit(1) + + plot_number = None + if len(plot_groups) > 1: + try: + plot_number = int(plot_groups[1]) + except ValueError: + print( + f"Could not interpret {plot_groups[1]} as a valid plot number.\n" + f"Please supply a number between 1 and {len(target_group.plots)}" + ) + sys.exit(1) + + if plot_number is None: + plot_group( + target_group, + color_map, + f"{file_prefix}_{group_name}.png" if file_prefix else None, ) - dcplot(dc, lambda z: 1 / z, title="1/z", color_map=color_map) - dcplot(dc, lambda z: (np.sin(1 / z)), title="sin(1/z)", color_map=color_map) - dcplot(dc, lambda z: (np.cos(1 / z)), title="cos(1/z)", color_map=color_map) - dcplot(dc, lambda z: np.sin(z), title="sin(z)", color_map=color_map) - dcplot(dc, lambda z: np.cos(z), title="cos(z)", color_map=color_map) - dcplot(dc, lambda z: z**3 - 1, title="z**3 -1", color_map=color_map) - dcplot(dc, lambda z: z**2 + 4 + 4j, title="z**2+4+4j", color_map=color_map) - dcplot(dc, lambda z: z**8 + 4 + 4j, title="z**8+4+4j", color_map=color_map) - dcplot(dc, lambda z: z**16 + 4 + 4j, title="z**16+4+4j", color_map=color_map) - dcplot( - dc, - lambda z: ((z**2 - 1) * (z - 2 - 1j) ** 2) / (z**2 + 2 + 2j), - title="((z**2-1)*(z-2- 1j)**2)/(z**2 +2+ 2j)", - color_map=color_map, + else: + plot_one( + target_group.plots[plot_number - 1], + color_map, + f"{file_prefix}_{group_name}_{plot_number}.png" if file_prefix else None, ) + + +def main(): + color_maps = [cmap for cmap in cmaps.__all__] # TODO: very hacky + single_plots = [ + *[group.name for group in ALL_GROUPS], + *[ + f"{group.name}.{i+1}" + for group in ALL_GROUPS + for i in range(len(group.plots)) + ], + ] + + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument( + "-i", + "--individual", + action="store_true", + help="Plot each example plot individually.", + ) + parser.add_argument( + "-g", "--grouped", action="store_true", help="Plot each example plot in groups." + ) + parser.add_argument( + "-s", + "--single", + metavar="SINGLE", + choices=single_plots, + help=f"Show a single example plot (or group of plots). Available options are: " + + ", \n".join(f"{group.name}[.1-{len(group.plots)}]" for group in ALL_GROUPS), + ) + parser.add_argument( + "-c", + "--color-map", + metavar="COLOR_MAP", + choices=color_maps, + help="The color map to use. Available options are: " + ", \n".join(color_maps), + ) + parser.add_argument( + "-f", + "--file", + action="store_true", + help="Write output(s) to file(s), rather than displaying them." + "Plots are written to `{color_map}_{plot_name}.png`.", + ) + + args = parser.parse_args() + + try: + color_map = getattr(cmaps, args.color_map) + assert callable(color_map) + except: + print( + "No color map specified with `-c`. Available options are:" + + ", \n".join(color_maps) + ) + sys.exit(1) + + if args.color_map is None: + sys.exit(1) + + if args.single is not None: + plot_single(args.single, color_map, args.color_map if args.file else None) + return + + if args.individual: + for group in ALL_GROUPS: + for i, plot in enumerate(group.plots): + plot_one( + plot, + color_map, + f"{args.color_map}_{group.name}_{i}.png" if args.file else None, + ) + return + + if args.grouped: + for group in ALL_GROUPS: + plot_group( + group, + color_map, + f"{args.color_map}_{group.name}.png" if args.file else None, + ) + return + + print("`-i` or `-g` not specified, printing help") + parser.print_help() + sys.exit(1) + + +if __name__ == "__main__": + main() diff --git a/examples/hsvcolorExample.py b/examples/hsvcolorExample.py deleted file mode 100755 index 91aa566..0000000 --- a/examples/hsvcolorExample.py +++ /dev/null @@ -1,5 +0,0 @@ -from dcolor import DColor, raw_magnitude_oscillating -import example - -dc = DColor() -example.example(dc, color_map=raw_magnitude_oscillating) diff --git a/examples/rgbcolorExample.py b/examples/rgbcolorExample.py deleted file mode 100755 index d89f57c..0000000 --- a/examples/rgbcolorExample.py +++ /dev/null @@ -1,5 +0,0 @@ -from dcolor import DColor, green_magnitude -import example - -dc = DColor() -example.example(dc, color_map=green_magnitude) diff --git a/examples/rgbcolorExampleExpand.py b/examples/rgbcolorExampleExpand.py deleted file mode 100755 index 3a1e55d..0000000 --- a/examples/rgbcolorExampleExpand.py +++ /dev/null @@ -1,7 +0,0 @@ -from functools import partial -from dcolor import DColor, green_magnitude - -dc = DColor() -dc.plot(lambda z: z**2 + 4 + 4j, title="z**2+4+4j", color_map=partial(green_magnitude, expand=8)) -dc.plot(lambda z: z**8 + 4 + 4j, title="z**8+4+4j expand 8", color_map=partial(green_magnitude, expand=8)) -dc.plot(lambda z: z**16 + 4 + 4j, title="z**16+4+4j expand 16", color_map=partial(green_magnitude, expand=16)) From 9e109dd9654c9d83d9788958d02a274ead57cbf5 Mon Sep 17 00:00:00 2001 From: queue-miscreant Date: Sat, 27 Jul 2024 16:17:23 -0500 Subject: [PATCH 6/8] update README, rename example images --- .gitignore | 1 + README.md | 64 +++++++++--------- images/dcolor.png | Bin 474667 -> 0 bytes images/green_magnitude_algebraic_3.png | Bin 0 -> 28037 bytes images/hsvcolor.png | Bin 414291 -> 0 bytes images/magnitude_oscillating_algebraic_3.png | Bin 0 -> 242394 bytes .../raw_magnitude_oscillating_algebraic_3.png | Bin 0 -> 242378 bytes images/rgbcolor.png | Bin 33183 -> 0 bytes 8 files changed, 32 insertions(+), 33 deletions(-) delete mode 100644 images/dcolor.png create mode 100644 images/green_magnitude_algebraic_3.png delete mode 100644 images/hsvcolor.png create mode 100644 images/magnitude_oscillating_algebraic_3.png create mode 100644 images/raw_magnitude_oscillating_algebraic_3.png delete mode 100644 images/rgbcolor.png diff --git a/.gitignore b/.gitignore index 57319a8..9ebc30f 100644 --- a/.gitignore +++ b/.gitignore @@ -1,3 +1,4 @@ **/__pycache__ .DS_Store +.python-version dist/ diff --git a/README.md b/README.md index e809a76..3720d2c 100644 --- a/README.md +++ b/README.md @@ -33,61 +33,59 @@ poetry install poetry shell ``` - -## Examples +## Usage -Note that `python` commands in this section should be run inside the virtual environment. +Heres's a short script which plots a function with poles and zeros. +A lambda expression is used to define the function, which is then passed to `dcolor.plot`. -### Default +```python +import dcolor +import matplotlib.pyplot as plt -```bash -python dcolorExample.py +plt.title("$f(z) = \\frac{(z^2 - 1)(z - 2 - 1j)^2}{z^2 +2+ 2j}$") +dcolor.plot(lambda z : ((z**2 - 1)*(z - 2 - 1j)**2)/(z**2 + 2 + 2j)) +plt.show() ``` -It generates a series of examples. -When each image appears clicking the close button starts the next example. -Lambda expressions are used to define and pass functions to the plot() function. -The last example is: +## Examples -```python -dc.plot(lambda z : ((z**2-1)*(z-2- 1j)**2)/(z**2 +2+ 2j), - title='((z**2-1)*(z-2- 1j)**2)/(z**2 +2+ 2j)') -``` +A selection of example functions can be plotted from `examples/example.py`. +It contains several command-line options for both spawning interactive plots and +generating static images. -Which results in the following plot: +The example images below can be plotted with the following command, which plots the +same function from the usage section: -![dcolor example](images/dcolor.png) +```bash +python examples/example.py -s algebraic.3 -c {METHOD} +``` -### hsvcolor +Note that this script may not function outside of the poetry virtual environment. -This is like dcolor except that it does not convert the HSV image to RGB +### Default method (magnitude_oscillating) -```bash -python hsvcolorExample.py -``` +The default method assigns the complex argument to hue. +Increasing magnitudes produce an effect resembling logarithmically-spaced contours. -Will create the images. -The last image produces: +![magnitude_oscillating example](images/magnitude_oscillating_algebraic_3.png) -![hsvcolor example](images/hsvcolor.png) +### raw_magnitude_oscillating -### rgbcolor +This is like the default, except that it does not convert the HSV image to RGB. -This is designed to show the magnitude of abs(z). -White means big, shades of green means intermediate, and black means small. +![raw_magnitude_oscillating example](images/raw_magnitude_oscillating_algebraic_3.png) -```bash -python rgbcolorExample.py -``` +### green_magnitude -Will create the images. -The last image produces: +This is designed to show the magnitude of z. +White means big, shades of green means intermediate, and black means small. -![rgbcolor example](images/rgbcolor.png) +![green_magnitude_example](images/green_magnitude_algebraic_3.png) ## Website and Documentation diff --git a/images/dcolor.png b/images/dcolor.png deleted file mode 100644 index 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u;>;|DbQ(9K=N!j44x?+qdfe&pg8a u`ca8hR?S^kD)>HZCY3P$8()v-jw>f0$a?W9<+~w0jk!Z}dz$K@Gye;)vlt2h From 82b76e77a412f2b0d12ea8c6266f38c8a3b10a7e Mon Sep 17 00:00:00 2001 From: queue-miscreant Date: Sun, 28 Jul 2024 08:13:59 -0500 Subject: [PATCH 7/8] remove default xlim and ylim; add show param; rename plot to dcolor; run black --- README.md | 8 ++++++-- dcolor/__init__.py | 2 +- dcolor/dcolor.py | 37 +++++++++++++++++++------------------ examples/example.py | 20 +++++++++++++++++--- 4 files changed, 43 insertions(+), 24 deletions(-) diff --git a/README.md b/README.md index 3720d2c..2978954 100644 --- a/README.md +++ b/README.md @@ -48,8 +48,12 @@ import dcolor import matplotlib.pyplot as plt plt.title("$f(z) = \\frac{(z^2 - 1)(z - 2 - 1j)^2}{z^2 +2+ 2j}$") -dcolor.plot(lambda z : ((z**2 - 1)*(z - 2 - 1j)**2)/(z**2 + 2 + 2j)) -plt.show() +dcolor.dcolor( + lambda z : ((z**2 - 1)*(z - 2 - 1j)**2)/(z**2 + 2 + 2j), + xlim=(-8, 8), + ylim=(-8, 8), +) +# plt.show() called implicitly ``` ## Examples diff --git a/dcolor/__init__.py b/dcolor/__init__.py index b8e98f6..51e3787 100644 --- a/dcolor/__init__.py +++ b/dcolor/__init__.py @@ -1,4 +1,4 @@ -from .dcolor import plot, ComplexFunction +from .dcolor import dcolor, ComplexFunction from .color_maps import ( magnitude_oscillating, raw_magnitude_oscillating, diff --git a/dcolor/dcolor.py b/dcolor/dcolor.py index a0e7ed2..430477e 100644 --- a/dcolor/dcolor.py +++ b/dcolor/dcolor.py @@ -16,11 +16,7 @@ def _make_domain( - xmin: float, - xmax: float, - ymin: float, - ymax: float, - samples: int + xmin: float, xmax: float, ymin: float, ymax: float, samples: int ) -> color_maps.ComplexPlane: """Create the domains for Real (x) and Imaginary (y) values respectively""" x = np.linspace(xmin, xmax, samples) @@ -86,9 +82,10 @@ def _plot(self, clear: bool = False): def plot( self, axes: Optional[Axes] = None, - xlim: Tuple[float, float] = (-8.0, 8.0), - ylim: Tuple[float, float] = (-8.0, 8.0), + xlim: Optional[Tuple[float, float]] = None, + ylim: Optional[Tuple[float, float]] = None, grid: bool = True, + show: bool = True, ): """ Plot the contained function on the given boundaries, add axis labels and add gridlines. @@ -99,8 +96,10 @@ def plot( else: self.axes = axes - axes.set_xlim(xlim) - axes.set_ylim(ylim) + if xlim is not None: + axes.set_xlim(xlim) + if ylim is not None: + axes.set_ylim(ylim) self._plot() @@ -111,15 +110,20 @@ def plot( if grid: axes.grid(True, which="both", linestyle="dashed") -def plot( + if show: + plt.show() + + +def dcolor( f: ComplexFunction, *, axes: Optional[Axes] = None, - xlim: Tuple[float, float] = (-8.0, 8.0), - ylim: Tuple[float, float] = (-8.0, 8.0), + xlim: Optional[Tuple[float, float]] = None, + ylim: Optional[Tuple[float, float]] = None, cmap: color_maps.ComplexColorMap = color_maps.magnitude_oscillating, samples: int = 1000, grid: bool = True, + show: bool = True, ) -> _DColor: """Plot a complex-valued function `f`. By default, this uses the current matplotlib axes. Note that the current figure's DPI settings will be used to draw the image. @@ -144,15 +148,12 @@ def plot( `grid` -- Whether or not to draw gridlines at the tick positions. Defaults To true. """ - ret = _DColor( - f, - cmap=cmap, - samples=samples - ) + ret = _DColor(f, cmap=cmap, samples=samples) ret.plot( axes=axes, xlim=xlim, ylim=ylim, - grid=grid + grid=grid, + show=show, ) return ret diff --git a/examples/example.py b/examples/example.py index 7439d60..78d18f1 100755 --- a/examples/example.py +++ b/examples/example.py @@ -86,7 +86,13 @@ class DomainPlotGroup: def plot_one(plot: DomainPlot, color_map, file=None): """Plot an example plot""" plt.gcf().clear() - dcolor.plot(plot.function, cmap=color_map) + dcolor.plot( + plot.function, + xlim=(-8, 8), + ylim=(-8, 8), + cmap=color_map, + show=False, + ) plt.title(plot.title) plt.tight_layout() @@ -104,7 +110,14 @@ def plot_group(group: DomainPlotGroup, color_map, file=None): print(f"Omitting plot {i} for {plot.title}") continue plt.subplot(2 if len(group.plots) > 3 else 1, 3, i + 1) - dcolor.plot(plot.function, cmap=color_map) + + dcolor.plot( + plot.function, + xlim=(-8, 8), + ylim=(-8, 8), + cmap=color_map, + show=False, + ) plt.title(plot.title) plt.tight_layout() @@ -190,6 +203,7 @@ def main(): "--color-map", metavar="COLOR_MAP", choices=color_maps, + default="magnitude_oscillating", help="The color map to use. Available options are: " + ", \n".join(color_maps), ) parser.add_argument( @@ -207,7 +221,7 @@ def main(): assert callable(color_map) except: print( - "No color map specified with `-c`. Available options are:" + "Bad color map specified with `-c`. Available options are:" + ", \n".join(color_maps) ) sys.exit(1) From c4351292685eeca40225d2387c326e8ba79201b9 Mon Sep 17 00:00:00 2001 From: queue-miscreant Date: Fri, 30 Aug 2024 13:06:52 -0500 Subject: [PATCH 8/8] tweak docstrings, fix typos, expose DColor class --- README.md | 2 +- dcolor/__init__.py | 27 ++++++++++++++++++++++++++- dcolor/color_maps.py | 15 ++++++++++----- dcolor/dcolor.py | 30 ++++++++++++++++++++---------- 4 files changed, 57 insertions(+), 17 deletions(-) diff --git a/README.md b/README.md index 2978954..2fefcd4 100644 --- a/README.md +++ b/README.md @@ -69,7 +69,7 @@ same function from the usage section: python examples/example.py -s algebraic.3 -c {METHOD} ``` -Note that this script may not function outside of the poetry virtual environment. +Note that this script may not function outside of the Poetry virtual environment. ### Default method (magnitude_oscillating) diff --git a/dcolor/__init__.py b/dcolor/__init__.py index 51e3787..bb89c5a 100644 --- a/dcolor/__init__.py +++ b/dcolor/__init__.py @@ -1,6 +1,31 @@ -from .dcolor import dcolor, ComplexFunction +""" +dcolor + +Package for generating complex plots using [domain coloring](https://en.wikipedia.org/wiki/Domain_coloring). + +The main plotting function is `dcolor.dcolor`, with arguments as: + + dcolor.dcolor( + lambda z : ..., + xlim=(-8, 8), + ylim=(-8, 8), + ) + +By default, this will automatically show the plot in a matplotlib figure. +For more information, see the documentation for `dcolor.dcolor` +""" +from .dcolor import dcolor, DColor, ComplexFunction from .color_maps import ( magnitude_oscillating, raw_magnitude_oscillating, green_magnitude, ) + +__all__ = [ + "dcolor", + "DColor", + "ComplexFunction", + "magnitude_oscillating", + "raw_magnitude_oscillating", + "green_magnitude" +] diff --git a/dcolor/color_maps.py b/dcolor/color_maps.py index 9d1a820..ea63742 100644 --- a/dcolor/color_maps.py +++ b/dcolor/color_maps.py @@ -1,3 +1,9 @@ +""" +dcolor.color_maps + +Module providing complex color maps used in domain coloring. +These functions take a 2D array of complex values and convert them to RGB triples. +""" from typing import Callable, Literal from typing_extensions import TypeAlias, TypeAliasType @@ -30,8 +36,8 @@ def magnitude_oscillating(zz: ComplexPlane) -> Image: Converts a complex 2D array `zz` to an RGB image with normal domain coloring. Hue is taken from the complex argument of `zz`. - Saturation and value covary with the logarithm of the magnitude of `zz`, - effectively giving logarithmic countours. + Saturation and value vary with the logarithm of the magnitude of `zz`, + giving the appearance of logarithmic countours. """ H = (np.angle(zz) % (2.0 * np.pi)) / (2.0 * np.pi) # Hue determined by arg(z) r = np.log2(1.0 + np.abs(zz)) @@ -44,10 +50,9 @@ def magnitude_oscillating(zz: ComplexPlane) -> Image: def raw_magnitude_oscillating(zz: ComplexPlane) -> Image: """ Converts a complex 2D array `zz` to an RGB image. - Similar to `magnitude_oscillating`, but with a "rawer" conversion to RGB. - Generally similar to `magnitude_oscillating`, with R as hue, - G as saturation, and B as value. + Same as `magnitude_oscillating`, but with a "rawer" conversion to RGB, + rather than going through matplotlib.colors """ h = normalize(np.angle(zz) % (2.0 * np.pi)) # Hue determined by arg(z) r = np.log2(1.0 + np.abs(zz)) diff --git a/dcolor/dcolor.py b/dcolor/dcolor.py index 430477e..df06d6a 100644 --- a/dcolor/dcolor.py +++ b/dcolor/dcolor.py @@ -1,4 +1,8 @@ -#!/usr/bin/env python3 +""" +dcolor.dcolor + +Module providing main domain coloring functionality. +""" from typing import Callable, Optional, Tuple from typing_extensions import TypeAliasType @@ -25,7 +29,7 @@ def _make_domain( return xx + 1j * yy -class _DColor: +class DColor: """ A wrapper object around a complex function for plotting using matplotlib. @@ -37,7 +41,7 @@ class _DColor: The default is `dcolor.cmap.magnitude_oscillating` `samples` -- The number of samples along each axis to use for plotting. - Note that the square of this value is how many values are actually calculated. + The square of this value is how many values are actually calculated. """ def __init__( @@ -74,9 +78,9 @@ def _plot(self, clear: bool = False): xmin, xmax = self.axes.get_xlim() ymin, ymax = self.axes.get_ylim() + # Call, color, and plot the image on the current axes limits zz = self._function(_make_domain(xmin, xmax, ymin, ymax, self._samples)) rgb = self._cmap(zz) - # Plot the image with y extents backwards self.axes.imshow(rgb, origin="lower", extent=(xmin, xmax, ymin, ymax)) def plot( @@ -88,7 +92,7 @@ def plot( show: bool = True, ): """ - Plot the contained function on the given boundaries, add axis labels and add gridlines. + Plot the contained function on the given boundaries, add axis labels, and add gridlines. """ if axes is None: self.axes = plt.gca() @@ -124,8 +128,10 @@ def dcolor( samples: int = 1000, grid: bool = True, show: bool = True, -) -> _DColor: - """Plot a complex-valued function `f`. By default, this uses the current matplotlib axes. +) -> DColor: + """ + Plot a complex-valued function `f`. By default, this uses the current matplotlib axes. + Note that the current figure's DPI settings will be used to draw the image. If this matters to you, call `Figure.set_dpi` beforehand. @@ -135,9 +141,11 @@ def dcolor( Optional keyword arguments: `axes` -- The matplotlib axes on which to plot. Defaults to the current axes. - `xlim` -- The x (real) limits to use when plotting + `xlim` -- The x (real) limits to use when plotting. + If absent, prior values from `xlim()` are respected. `ylim` -- The y (imaginary) limits to use when plotting + If absent, prior values from `ylim()` are respected. `cmap` -- A function which converts a complex number to an RGB color (or an array of the former to an array of the latter). @@ -146,9 +154,11 @@ def dcolor( `samples` -- The number of samples along each axis to use for plotting. Note that the square of this value is how many values are actually calculated. - `grid` -- Whether or not to draw gridlines at the tick positions. Defaults To true. + `grid` -- Whether to draw gridlines at the tick positions. Defaults to True. + + `show` -- Whether to show the plot with Matplotlib. Defaults to True. """ - ret = _DColor(f, cmap=cmap, samples=samples) + ret = DColor(f, cmap=cmap, samples=samples) ret.plot( axes=axes, xlim=xlim,

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