В этом наборе примеров мы покажем, как выглядят самые разные виды графиков в Engee, и какими средствами достигается такой результат – примеры данных и кода.
Правильно подобранный тип графика позволяют сохранить или донести до слушателя нужную информацию в очень красноречивой, при этом лаконичной форме. Графики берут информацию из переменных, которые должны существовать в рабочей области памяти (должны быть видны в окне Переменные ). Их отображение, как правило, осуществляется из интерактивных скриптов ngscript , сразу после соответствующих ячеек с кодом. Конечно, есть исключения
графики в формате Unicode можно отображать и в командной строке, однако при наличии графических интерактивных графиков, такой ограниченный формат может быть нужен разве что для нужд специального графического дизайна;
графики можно сохранять в файловое хранилище и открывать как файлы из файлового браузера (иногда это полезно ).
Самая простая и часто используемая команда для выводов графиков – функция plot()
из библиотеки Plots
для вывода графиков.
Библиотека Plots в Engee подключается автоматически.
При этом в экосистеме Engee/Julia есть еще множество библиотек для вывода красивых графиков, некоторые мы рассмотрим в этой демонстрации:
StatsPlots
для вывода сложных статистических графиков,
GMT
или General Mapping Tools
для вывода географических карт.
Мы также советуем не избегать библиотек, позволяющих создавать гораздо более насыщенные и профессиональные визуализации, например:
Makie
для очень качественной визуализации сложных данных,
Luxor
– язык для создания векторной двухмерной графики.
Когда библиотека вывода построила график, она передает его в графическое окружение, и здесь есть варианты:
окружение gr
(которое включено по умолчанию) строит быстрые, экономные и не интеравтивные графики (включается командой gr()
), которые можно сохранить при помощи контекстного меню
plotly
или plotlyjs
создают интерактивное полотно, на котором график можно масштабировать, вращать и сохранять при помощи кнопок интерфейса (переключиться на них можно, соответственно, командами plotly()
и plotlyjs()
)
А еще для вывода графиков вы можете выбрать растровый (png
) или векторный (svg
) формат. Указав внутри команд gr/plotly/plotlyjs
аргумент fmt=:svg
вы получите очень изящный, масштабируемый график в векторном формате, однако при наличии большого количества элементов на графике, особенно если он будет интерактивным, его вывод потребует больше ресурсов. Другое дело – растровые графики (fmt=:png
). Они быстрее строятся и не требуют таких ресурсов при перерисовке.
Остальные элементы рецепта идеального графика вы найдете ниже.
А теперь, приглашаем – в галерею графиков!
Построение столбчатой диаграммы по таблице данных.
Изучение корреляции многомерных данных при помощи библиотеки StatsPlots
и функции corrplor
.
Функция marginalkde
из библиотеки StatsPlots
Out[0]:
1.0
-0.033
-0.388
-0.033
1.0
-0.893
-0.388
-0.893
1.0
Обычная гистограмма: функция histogram
График распределения двухмерной выборки: функция histogram2d
Объемный график двухмерной гистограммы при помощи wireframe
Совмещение графиков с различным оформлением
И просто графиков разного типа:
Создание GIF-анимации при помощи команды @animate
, запускающей в цикле стороннюю функцию, которая рисует 150 окружностей уменьшающегося радиуса, с растущим показателем прозрачности. Кроме прочих, можно также использовать формат mp4
.
Вращающийся объект (геометрия задана в STL файле)
[ Info: Saved animation to /user/start/examples/data_analysis/plots_gallery/tmp.gif
Вывод матриц и изображений¶
Вывод иллюстраций из файлов: библиотека Images
Графики в декартовых координатах¶
Вывод двух тригонометрических функций, заданных векторами, на декартовой координатной плоскости.
Заполнение площади под графиком (аргумент fillrange
)
WARNING: using Distributions.shape in module Main conflicts with an existing identifier.
График с заполнением (area
)
Накопляющийся график с заполнением
График с доверительными интервалами (аргументы xerr
и yerr
)
Гладкий и ступенчатый графики, объединенные при помощи аргумента layout
Параметрический график в 3D
Графики в полярных координатах¶
Стрелки к точкам, формирующим спираль (график quiver
)
Ступенчатый график в полярных координатах (график rose
)
График в полярных координатах, заданный при помощи функции
Пузырьковая диаграмма в полярных координатах
Горизонтально расположенная столбчатая диаграмма (функция bar
)
Столбчатые диаграммы bar
и groupedbar
Диаграмма stem
(ствол-лист )
Трехмерная stem
-диаграмма
График обтекания цилиндра ламинарным потоком.
Аналитическая аппроксимация этой функции рассчитывается при помощи уравнения:
$$\psi = U sin \theta \left ( r - \frac{R^2}{r} \right )$$
Заполненный контурный график (статическое давление вокруг цилиндра, обтекаемого ламинарным потоком)
Контурный график математических функций
Параметр seriestype=:surface
Параметр seriestype=:wireframe
График двухмерной функции
Построим график функции "сомбреро". При использовании gr()
аргумент hidesurface
не используется. Но при использовании plotly()
аргумент hidesurface=false
позволяет одновременно вывести и поверхность, и контурный график на ней.
График поверхности, совмещенный с контурным графиком
Точечные графики и пузырьковые диаграммы¶
Трехмерный точечный график с назначением отдельного цвета каждой точке
Трехмерный точечный график с фиктивным пространством для цветовой гисторгаммы
Создадим цветовую палитру:
Используем палитру чтобы раскрасить матрицу из случайных чисел и вывести как изображение:
Создадим график из случайных точек с линиями и аннотациями:
{"id": "cdad3623-bf14-4ad9-a2fc-766319459457", "data": [{"showlegend": false, "xaxis": "x", "colorbar": {"y": 0.513888888888889, "title": {"text": ""}, "len": 0.9525371828521435, "x": 0.9934383202099738}, "name": "y1", "opacity": null, "colorscale": [[0, "rgba(68, 1, 84, 1.000)"], [0.00392156862745098, "rgba(68, 2, 86, 1.000)"], [0.00784313725490196, "rgba(69, 4, 87, 1.000)"], [0.011764705882352941, "rgba(69, 5, 89, 1.000)"], [0.01568627450980392, "rgba(70, 7, 90, 1.000)"], [0.0196078431372549, "rgba(70, 8, 92, 1.000)"], [0.023529411764705882, "rgba(70, 10, 93, 1.000)"], [0.027450980392156862, "rgba(70, 11, 94, 1.000)"], [0.03137254901960784, "rgba(71, 13, 96, 1.000)"], [0.03529411764705882, "rgba(71, 14, 97, 1.000)"], [0.0392156862745098, "rgba(71, 16, 99, 1.000)"], [0.043137254901960784, "rgba(71, 17, 100, 1.000)"], [0.047058823529411764, "rgba(71, 19, 101, 1.000)"], [0.050980392156862744, "rgba(72, 20, 103, 1.000)"], [0.054901960784313725, "rgba(72, 22, 104, 1.000)"], [0.058823529411764705, "rgba(72, 23, 105, 1.000)"], [0.06274509803921569, "rgba(72, 24, 106, 1.000)"], [0.06666666666666667, "rgba(72, 26, 108, 1.000)"], [0.07058823529411765, "rgba(72, 27, 109, 1.000)"], [0.07450980392156863, "rgba(72, 28, 110, 1.000)"], [0.0784313725490196, "rgba(72, 29, 111, 1.000)"], [0.08235294117647059, "rgba(72, 31, 112, 1.000)"], [0.08627450980392157, "rgba(72, 32, 113, 1.000)"], [0.09019607843137255, "rgba(72, 33, 115, 1.000)"], [0.09411764705882353, "rgba(72, 35, 116, 1.000)"], [0.09803921568627451, "rgba(72, 36, 117, 1.000)"], [0.10196078431372549, "rgba(72, 37, 118, 1.000)"], [0.10588235294117647, "rgba(72, 38, 119, 1.000)"], [0.10980392156862745, "rgba(72, 40, 120, 1.000)"], [0.11372549019607843, "rgba(72, 41, 121, 1.000)"], [0.11764705882352941, "rgba(71, 42, 122, 1.000)"], [0.12156862745098039, "rgba(71, 44, 122, 1.000)"], [0.12549019607843137, "rgba(71, 45, 123, 1.000)"], [0.12941176470588237, "rgba(71, 46, 124, 1.000)"], [0.13333333333333333, "rgba(71, 47, 125, 1.000)"], [0.13725490196078433, "rgba(70, 48, 126, 1.000)"], [0.1411764705882353, "rgba(70, 50, 126, 1.000)"], [0.1450980392156863, "rgba(70, 51, 127, 1.000)"], [0.14901960784313725, "rgba(70, 52, 128, 1.000)"], [0.15294117647058825, "rgba(69, 53, 129, 1.000)"], [0.1568627450980392, "rgba(69, 55, 129, 1.000)"], [0.1607843137254902, "rgba(69, 56, 130, 1.000)"], [0.16470588235294117, "rgba(68, 57, 131, 1.000)"], [0.16862745098039217, "rgba(68, 58, 131, 1.000)"], [0.17254901960784313, "rgba(68, 59, 132, 1.000)"], [0.17647058823529413, "rgba(67, 61, 132, 1.000)"], [0.1803921568627451, "rgba(67, 62, 133, 1.000)"], [0.1843137254901961, "rgba(66, 63, 133, 1.000)"], [0.18823529411764706, "rgba(66, 64, 134, 1.000)"], [0.19215686274509805, "rgba(66, 65, 134, 1.000)"], [0.19607843137254902, "rgba(65, 66, 135, 1.000)"], [0.2, "rgba(65, 68, 135, 1.000)"], [0.20392156862745098, "rgba(64, 69, 136, 1.000)"], [0.20784313725490197, "rgba(64, 70, 136, 1.000)"], [0.21176470588235294, "rgba(63, 71, 136, 1.000)"], [0.21568627450980393, "rgba(63, 72, 137, 1.000)"], [0.2196078431372549, "rgba(62, 73, 137, 1.000)"], [0.2235294117647059, "rgba(62, 74, 137, 1.000)"], [0.22745098039215686, "rgba(62, 76, 138, 1.000)"], [0.23137254901960785, "rgba(61, 77, 138, 1.000)"], [0.23529411764705882, "rgba(61, 78, 138, 1.000)"], [0.23921568627450981, "rgba(60, 79, 138, 1.000)"], [0.24313725490196078, "rgba(60, 80, 139, 1.000)"], [0.24705882352941178, "rgba(59, 81, 139, 1.000)"], [0.25098039215686274, "rgba(59, 82, 139, 1.000)"], [0.2549019607843137, "rgba(58, 83, 139, 1.000)"], [0.25882352941176473, "rgba(58, 84, 140, 1.000)"], [0.2627450980392157, "rgba(57, 85, 140, 1.000)"], [0.26666666666666666, "rgba(57, 86, 140, 1.000)"], [0.27058823529411763, "rgba(56, 88, 140, 1.000)"], [0.27450980392156865, "rgba(56, 89, 140, 1.000)"], [0.2784313725490196, "rgba(55, 90, 140, 1.000)"], [0.2823529411764706, "rgba(55, 91, 141, 1.000)"], [0.28627450980392155, "rgba(54, 92, 141, 1.000)"], [0.2901960784313726, "rgba(54, 93, 141, 1.000)"], [0.29411764705882354, "rgba(53, 94, 141, 1.000)"], [0.2980392156862745, "rgba(53, 95, 141, 1.000)"], [0.30196078431372547, "rgba(52, 96, 141, 1.000)"], [0.3058823529411765, "rgba(52, 97, 141, 1.000)"], [0.30980392156862746, "rgba(51, 98, 141, 1.000)"], [0.3137254901960784, "rgba(51, 99, 141, 1.000)"], [0.3176470588235294, "rgba(50, 100, 142, 1.000)"], [0.3215686274509804, "rgba(50, 101, 142, 1.000)"], [0.3254901960784314, "rgba(49, 102, 142, 1.000)"], [0.32941176470588235, "rgba(49, 103, 142, 1.000)"], [0.3333333333333333, "rgba(49, 104, 142, 1.000)"], [0.33725490196078434, "rgba(48, 105, 142, 1.000)"], [0.3411764705882353, "rgba(48, 106, 142, 1.000)"], [0.34509803921568627, "rgba(47, 107, 142, 1.000)"], [0.34901960784313724, "rgba(47, 108, 142, 1.000)"], [0.35294117647058826, "rgba(46, 109, 142, 1.000)"], [0.3568627450980392, "rgba(46, 110, 142, 1.000)"], [0.3607843137254902, "rgba(46, 111, 142, 1.000)"], [0.36470588235294116, "rgba(45, 112, 142, 1.000)"], [0.3686274509803922, "rgba(45, 113, 142, 1.000)"], [0.37254901960784315, "rgba(44, 113, 142, 1.000)"], [0.3764705882352941, "rgba(44, 114, 142, 1.000)"], [0.3803921568627451, "rgba(44, 115, 142, 1.000)"], [0.3843137254901961, "rgba(43, 116, 142, 1.000)"], [0.38823529411764707, "rgba(43, 117, 142, 1.000)"], [0.39215686274509803, "rgba(42, 118, 142, 1.000)"], [0.396078431372549, "rgba(42, 119, 142, 1.000)"], [0.4, "rgba(42, 120, 142, 1.000)"], [0.403921568627451, "rgba(41, 121, 142, 1.000)"], [0.40784313725490196, "rgba(41, 122, 142, 1.000)"], [0.4117647058823529, "rgba(41, 123, 142, 1.000)"], [0.41568627450980394, "rgba(40, 124, 142, 1.000)"], [0.4196078431372549, "rgba(40, 125, 142, 1.000)"], [0.4235294117647059, "rgba(39, 126, 142, 1.000)"], [0.42745098039215684, "rgba(39, 127, 142, 1.000)"], [0.43137254901960786, "rgba(39, 128, 142, 1.000)"], [0.43529411764705883, "rgba(38, 129, 142, 1.000)"], [0.4392156862745098, "rgba(38, 130, 142, 1.000)"], [0.44313725490196076, "rgba(38, 130, 142, 1.000)"], [0.4470588235294118, "rgba(37, 131, 142, 1.000)"], [0.45098039215686275, "rgba(37, 132, 142, 1.000)"], [0.4549019607843137, "rgba(37, 133, 142, 1.000)"], [0.4588235294117647, "rgba(36, 134, 142, 1.000)"], [0.4627450980392157, "rgba(36, 135, 142, 1.000)"], [0.4666666666666667, "rgba(35, 136, 142, 1.000)"], [0.47058823529411764, "rgba(35, 137, 142, 1.000)"], [0.4745098039215686, "rgba(35, 138, 141, 1.000)"], [0.47843137254901963, "rgba(34, 139, 141, 1.000)"], [0.4823529411764706, "rgba(34, 140, 141, 1.000)"], [0.48627450980392156, "rgba(34, 141, 141, 1.000)"], [0.49019607843137253, "rgba(33, 142, 141, 1.000)"], [0.49411764705882355, "rgba(33, 143, 141, 1.000)"], [0.4980392156862745, "rgba(33, 144, 141, 1.000)"], [0.5019607843137255, "rgba(33, 145, 140, 1.000)"], [0.5058823529411764, "rgba(32, 146, 140, 1.000)"], [0.5098039215686274, "rgba(32, 146, 140, 1.000)"], [0.5137254901960784, "rgba(32, 147, 140, 1.000)"], [0.5176470588235295, "rgba(31, 148, 140, 1.000)"], [0.5215686274509804, "rgba(31, 149, 139, 1.000)"], [0.5254901960784314, "rgba(31, 150, 139, 1.000)"], [0.5294117647058824, "rgba(31, 151, 139, 1.000)"], [0.5333333333333333, "rgba(31, 152, 139, 1.000)"], [0.5372549019607843, "rgba(31, 153, 138, 1.000)"], [0.5411764705882353, "rgba(31, 154, 138, 1.000)"], [0.5450980392156862, "rgba(30, 155, 138, 1.000)"], [0.5490196078431373, "rgba(30, 156, 137, 1.000)"], [0.5529411764705883, "rgba(30, 157, 137, 1.000)"], [0.5568627450980392, "rgba(31, 158, 137, 1.000)"], [0.5607843137254902, "rgba(31, 159, 136, 1.000)"], [0.5647058823529412, "rgba(31, 160, 136, 1.000)"], [0.5686274509803921, "rgba(31, 161, 136, 1.000)"], [0.5725490196078431, "rgba(31, 161, 135, 1.000)"], [0.5764705882352941, "rgba(31, 162, 135, 1.000)"], [0.5803921568627451, "rgba(32, 163, 134, 1.000)"], [0.5843137254901961, "rgba(32, 164, 134, 1.000)"], [0.5882352941176471, "rgba(33, 165, 133, 1.000)"], [0.592156862745098, "rgba(33, 166, 133, 1.000)"], 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