Генерация кода для STM32 (Кнопка и мигающий светодиод на конечных автоматах)¶
В этом демонстрационном примере рассмотрена модель Engee для управления цифровыми входом и выходом микроконтроллера STM32.
Задача этого примера - разработать модель Engee достаточно простой программы управления цифровыми входом и выходом микроконтроллера STM32F446RE с использованием вложенных состояний и суперпереходов библиотеки Конечных автоматов Engee.
Данный демонстрационный пример является функциональным развитием примера Генерация кода для STM32 (Мигающий светодиод на конечных автоматах).
Модель примера - stm32_button_blink.engee
включает в себя три блока C Function
, конфигурирующих и подключающих периферию контроллера:
GPIO_PC13_INPUT (USER_BUTTON)
- в ходе инициализации программы конфигурирует и инициализирует пин PC13 микроконтролллера в качестве выхода. В ходе пошагового исполнения программы возвращает состояние цифрового выхода PinState
. На отладочной плате NUCLEO-F446RE к этому пину подключена кнопка пользователя B1 "USER".
GPIO_5_OUTPUT (LED)
- в ходе инициализации программы конфигурирует и инициализирует пин PA5 микроконтролллера в качестве входа. В ходе пошагового исполнения присваивает ему состояние от PinState
. На отладочной плате NUCLEO-F446RE к этому пину подключен светодиод LD2 "GREEN".
DELAY
- в ходе инициализации программы конфигурирует и инициализирует внутренний таймер SysTick
. В ходе пошагового исполнения формирует с его помощью задержку Ts
, равную шагу моделирования.
Настраиваемый параметр Ts
определяется функцией PreLoadFunc
в обратных вызовах и используется в качестве размера шага в решателе модели, входного значения для блока DELAY
и шага расчёта блока Pulse Generator
.
Блок Pulse Generator
имитирует в процессе моделирования периодическое нажатие на кнопку B1 отладочной платы. Длительность нажатия - 10 секунд, периодичность - 20 секунд. В процессе моделирования сигнал этого блока проходит через блок цифрового входа без изменений.
В блоке Blink
при помощи диаграммы состояний реализована логика формирования импульсов для мигания светодиодом.
В развитие диаграммы состояний из примера Генерация кода для STM32 (Мигающий светодиод на конечных автоматах), содержащей одно родительское состояние, блок Chart
данного примера содержит два родительских состояния с суперпереходами между ними.
Внутренняя переменная FullTime
устанавливает длительности периодов мигания светодиода - $100\cdot T_s$ секунд в родительском состоянии Period_and_Clock
, если кнопка B1 не нажата и входная переменная ChangeFreq
равна $0$, и $50\cdot T_s$ секунд в родительском состоянии Period_and_Clock_2
в обратном случае. При нахождении в родительских состояниях происходит приращение, а при выходе из них - сброс переменной счётчика CurrentTime
.
В отличие от примера Генерация кода для STM32 (Мигающий светодиод на конечных автоматах), в котором для работы с периферией используется библиотека слоя аппаратных абстракций STM32 (HAL), здесь блоки периферии используют обращения к регистрам согласно заголовочному файлу stm32f4xx.h
. В опциях сборки (Build options) блоков C Functions
происходит подключение этого файла. Сам файл stm32f4xx.h
, расположенный в папке примера, используется только для моделирования и генерации кода, добавлять его в дальнейшем в проект IDE нет необходимости.
Дополнительные пояснения к коду блоков периферии даны в комментариях к коду.
Результаты моделирования¶
Для моделирования алгоритма формирования управляющих импульсов по нажатию кнопки загрузим и запустим модель stm32_button_blink.engee
:
Из полученных данных моделирования построим графики сигналов Blink.Out
- состояния встроенного светодиода и Pulse Generator.1
- состояния кнопки:
Как видно из графиков, в модели формируются периодические сигналы для светодиода с изменяемой по нажатию кнопки частотой.
Сгенерируем код из модели для последующей загрузки управляющего алгоритма в микроконтроллер:
[ Info: Generated code and artifacts: /user/start/examples/codegen/stm32_button_blink/stm32_button_blink_code
Созданные в папке stm32_button_blink_code
файлы - заголовочный stm32_button_blink.h
и исходный stm32_button_blink.c
мы и используем далее при сборке проекта.
Подготовка проекта в среде разработки¶
Среда разработки, через которую ведётся сборка проекта и его загрузка в целевое устройство - VS Code с надстройкой PlatformIO. Конфигурации среды и подключения соответствуют тем, что уже описаны в примере Генерация кода для STM32 (Мигающий светодиод на конечных автоматах).
После создания нового проекта нужно добавить в него сгенерированные в Engee файлы и файл с кодом основной программы main.c
(добавлен в папку примера):
После этого можно перейти к сборке проекта и загрузке программы.
Выполнение модели на STM32¶
Подключим отладочную плату NUCLEO-F446RE к USB-порту компьютера, после чего в PlatformIO можем наблюдать подключенное устройство. Для корректной идентификации подключения этой платы требуется драйвер ST-Link V2.
После успешного подключения перейдём к сборке проекта: "PLATFORMIO -> PROJECT TASKS -> nucleo_f446re -> General -> Build". При отсутствии ошибок сборки загрузим скомпилированный код в микроконтроллер: "PLATFORMIO -> PROJECT TASKS -> nucleo_f446re -> General -> Upload".
В результате загрузки программы на отладочной плате можно наблюдать мигание светодиода с частотой 1 Гц. При нажатии на кнопку B1 частота миганий светодиода - 2 Гц.
Для демонстрации в примере к соответствующему выводу отладочной платы (D13) был подключен цифровой осциллограф Hantec DSO, а осциллограмма считана через последовательный порт компьютера при помощи оболочки DSO Analyzer. Как можно видеть на анимации выше, частота выходного сигнала удваивается при нажатии встроенной кнопки.
В данном примере мы рассмотрели разработку модели Engee для программы управления мигающим светодиодом по сигналу от цифрового входа на микроконтроллере STM32F446RE в составе отладочной платы NUCLEO. Алгоритм реализован при помощи вложенных состояний и суперпереходов блока Chart
из библиотеки Конечных автоматов Engee и подходит для генерации кода. Разработанная модель встроена сгенерированными файлами в проект среды PlatformIO для VS Code с последующей сборкой, загрузкой и исполнением на целевом устройстве.
Блоки, использованные в примере¶
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7.83, 7.84, 7.85, 7.86, 7.87, 7.88, 7.89, 7.9, 7.91, 7.92, 7.93, 7.94, 7.95, 7.96, 7.97, 7.98, 7.99, 8, 8.01, 8.02, 8.03, 8.04, 8.05, 8.06, 8.07, 8.08, 8.09, 8.1, 8.11, 8.12, 8.13, 8.14, 8.15, 8.16, 8.17, 8.18, 8.19, 8.2, 8.21, 8.22, 8.23, 8.24, 8.25, 8.26, 8.27, 8.28, 8.29, 8.3, 8.31, 8.32, 8.33, 8.34, 8.35, 8.36, 8.37, 8.38, 8.39, 8.4, 8.41, 8.42, 8.43, 8.44, 8.45, 8.46, 8.47, 8.48, 8.49, 8.5, 8.51, 8.52, 8.53, 8.54, 8.55, 8.56, 8.57, 8.58, 8.59, 8.6, 8.61, 8.62, 8.63, 8.64, 8.65, 8.66, 8.67, 8.68, 8.69, 8.7, 8.71, 8.72, 8.73, 8.74, 8.75, 8.76, 8.77, 8.78, 8.79, 8.8, 8.81, 8.82, 8.83, 8.84, 8.85, 8.86, 8.87, 8.88, 8.89, 8.9, 8.91, 8.92, 8.93, 8.94, 8.95, 8.96, 8.97, 8.98, 8.99, 9, 9.01, 9.02, 9.03, 9.04, 9.05, 9.06, 9.07, 9.08, 9.09, 9.1, 9.11, 9.12, 9.13, 9.14, 9.15, 9.16, 9.17, 9.18, 9.19, 9.2, 9.21, 9.22, 9.23, 9.24, 9.25, 9.26, 9.27, 9.28, 9.29, 9.3, 9.31, 9.32, 9.33, 9.34, 9.35, 9.36, 9.37, 9.38, 9.39, 9.4, 9.41, 9.42, 9.43, 9.44, 9.45, 9.46, 9.47, 9.48, 9.49, 9.5, 9.51, 9.52, 9.53, 9.54, 9.55, 9.56, 9.57, 9.58, 9.59, 9.6, 9.61, 9.62, 9.63, 9.64, 9.65, 9.66, 9.67, 9.68, 9.69, 9.7, 9.71, 9.72, 9.73, 9.74, 9.75, 9.76, 9.77, 9.78, 9.79, 9.8, 9.81, 9.82, 9.83, 9.84, 9.85, 9.86, 9.87, 9.88, 9.89, 9.9, 9.91, 9.92, 9.93, 9.94, 9.95, 9.96, 9.97, 9.98, 9.99, 10, 10.01, 10.02, 10.03, 10.04, 10.05, 10.06, 10.07, 10.08, 10.09, 10.1, 10.11, 10.12, 10.13, 10.14, 10.15, 10.16, 10.17, 10.18, 10.19, 10.2, 10.21, 10.22, 10.23, 10.24, 10.25, 10.26, 10.27, 10.28, 10.29, 10.3, 10.31, 10.32, 10.33, 10.34, 10.35, 10.36, 10.37, 10.38, 10.39, 10.4, 10.41, 10.42, 10.43, 10.44, 10.45, 10.46, 10.47, 10.48, 10.49, 10.5, 10.51, 10.52, 10.53, 10.54, 10.55, 10.56, 10.57, 10.58, 10.59, 10.6, 10.61, 10.62, 10.63, 10.64, 10.65, 10.66, 10.67, 10.68, 10.69, 10.7, 10.71, 10.72, 10.73, 10.74, 10.75, 10.76, 10.77, 10.78, 10.79, 10.8, 10.81, 10.82, 10.83, 10.84, 10.85, 10.86, 10.87, 10.88, 10.89, 10.9, 10.91, 10.92, 10.93, 10.94, 10.95, 10.96, 10.97, 10.98, 10.99, 11, 11.01, 11.02, 11.03, 11.04, 11.05, 11.06, 11.07, 11.08, 11.09, 11.1, 11.11, 11.12, 11.13, 11.14, 11.15, 11.16, 11.17, 11.18, 11.19, 11.2, 11.21, 11.22, 11.23, 11.24, 11.25, 11.26, 11.27, 11.28, 11.29, 11.3, 11.31, 11.32, 11.33, 11.34, 11.35, 11.36, 11.37, 11.38, 11.39, 11.4, 11.41, 11.42, 11.43, 11.44, 11.45, 11.46, 11.47, 11.48, 11.49, 11.5, 11.51, 11.52, 11.53, 11.54, 11.55, 11.56, 11.57, 11.58, 11.59, 11.6, 11.61, 11.62, 11.63, 11.64, 11.65, 11.66, 11.67, 11.68, 11.69, 11.7, 11.71, 11.72, 11.73, 11.74, 11.75, 11.76, 11.77, 11.78, 11.79, 11.8, 11.81, 11.82, 11.83, 11.84, 11.85, 11.86, 11.87, 11.88, 11.89, 11.9, 11.91, 11.92, 11.93, 11.94, 11.95, 11.96, 11.97, 11.98, 11.99, 12, 12.01, 12.02, 12.03, 12.04, 12.05, 12.06, 12.07, 12.08, 12.09, 12.1, 12.11, 12.12, 12.13, 12.14, 12.15, 12.16, 12.17, 12.18, 12.19, 12.2, 12.21, 12.22, 12.23, 12.24, 12.25, 12.26, 12.27, 12.28, 12.29, 12.3, 12.31, 12.32, 12.33, 12.34, 12.35, 12.36, 12.37, 12.38, 12.39, 12.4, 12.41, 12.42, 12.43, 12.44, 12.45, 12.46, 12.47, 12.48, 12.49, 12.5, 12.51, 12.52, 12.53, 12.54, 12.55, 12.56, 12.57, 12.58, 12.59, 12.6, 12.61, 12.62, 12.63, 12.64, 12.65, 12.66, 12.67, 12.68, 12.69, 12.7, 12.71, 12.72, 12.73, 12.74, 12.75, 12.76, 12.77, 12.78, 12.79, 12.8, 12.81, 12.82, 12.83, 12.84, 12.85, 12.86, 12.87, 12.88, 12.89, 12.9, 12.91, 12.92, 12.93, 12.94, 12.95, 12.96, 12.97, 12.98, 12.99, 13, 13.01, 13.02, 13.03, 13.04, 13.05, 13.06, 13.07, 13.08, 13.09, 13.1, 13.11, 13.12, 13.13, 13.14, 13.15, 13.16, 13.17, 13.18, 13.19, 13.2, 13.21, 13.22, 13.23, 13.24, 13.25, 13.26, 13.27, 13.28, 13.29, 13.3, 13.31, 13.32, 13.33, 13.34, 13.35, 13.36, 13.37, 13.38, 13.39, 13.4, 13.41, 13.42, 13.43, 13.44, 13.45, 13.46, 13.47, 13.48, 13.49, 13.5, 13.51, 13.52, 13.53, 13.54, 13.55, 13.56, 13.57, 13.58, 13.59, 13.6, 13.61, 13.62, 13.63, 13.64, 13.65, 13.66, 13.67, 13.68, 13.69, 13.7, 13.71, 13.72, 13.73, 13.74, 13.75, 13.76, 13.77, 13.78, 13.79, 13.8, 13.81, 13.82, 13.83, 13.84, 13.85, 13.86, 13.87, 13.88, 13.89, 13.9, 13.91, 13.92, 13.93, 13.94, 13.95, 13.96, 13.97, 13.98, 13.99, 14, 14.01, 14.02, 14.03, 14.04, 14.05, 14.06, 14.07, 14.08, 14.09, 14.1, 14.11, 14.12, 14.13, 14.14, 14.15, 14.16, 14.17, 14.18, 14.19, 14.2, 14.21, 14.22, 14.23, 14.24, 14.25, 14.26, 14.27, 14.28, 14.29, 14.3, 14.31, 14.32, 14.33, 14.34, 14.35, 14.36, 14.37, 14.38, 14.39, 14.4, 14.41, 14.42, 14.43, 14.44, 14.45, 14.46, 14.47, 14.48, 14.49, 14.5, 14.51, 14.52, 14.53, 14.54, 14.55, 14.56, 14.57, 14.58, 14.59, 14.6, 14.61, 14.62, 14.63, 14.64, 14.65, 14.66, 14.67, 14.68, 14.69, 14.7, 14.71, 14.72, 14.73, 14.74, 14.75, 14.76, 14.77, 14.78, 14.79, 14.8, 14.81, 14.82, 14.83, 14.84, 14.85, 14.86, 14.87, 14.88, 14.89, 14.9, 14.91, 14.92, 14.93, 14.94, 14.95, 14.96, 14.97, 14.98, 14.99, 15, 15.01, 15.02, 15.03, 15.04, 15.05, 15.06, 15.07, 15.08, 15.09, 15.1, 15.11, 15.12, 15.13, 15.14, 15.15, 15.16, 15.17, 15.18, 15.19, 15.2, 15.21, 15.22, 15.23, 15.24, 15.25, 15.26, 15.27, 15.28, 15.29, 15.3, 15.31, 15.32, 15.33, 15.34, 15.35, 15.36, 15.37, 15.38, 15.39, 15.4, 15.41, 15.42, 15.43, 15.44, 15.45, 15.46, 15.47, 15.48, 15.49, 15.5, 15.51, 15.52, 15.53, 15.54, 15.55, 15.56, 15.57, 15.58, 15.59, 15.6, 15.61, 15.62, 15.63, 15.64, 15.65, 15.66, 15.67, 15.68, 15.69, 15.7, 15.71, 15.72, 15.73, 15.74, 15.75, 15.76, 15.77, 15.78, 15.79, 15.8, 15.81, 15.82, 15.83, 15.84, 15.85, 15.86, 15.87, 15.88, 15.89, 15.9, 15.91, 15.92, 15.93, 15.94, 15.95, 15.96, 15.97, 15.98, 15.99, 16, 16.01, 16.02, 16.03, 16.04, 16.05, 16.06, 16.07, 16.08, 16.09, 16.1, 16.11, 16.12, 16.13, 16.14, 16.15, 16.16, 16.17, 16.18, 16.19, 16.2, 16.21, 16.22, 16.23, 16.24, 16.25, 16.26, 16.27, 16.28, 16.29, 16.3, 16.31, 16.32, 16.33, 16.34, 16.35, 16.36, 16.37, 16.38, 16.39, 16.4, 16.41, 16.42, 16.43, 16.44, 16.45, 16.46, 16.47, 16.48, 16.49, 16.5, 16.51, 16.52, 16.53, 16.54, 16.55, 16.56, 16.57, 16.58, 16.59, 16.6, 16.61, 16.62, 16.63, 16.64, 16.65, 16.66, 16.67, 16.68, 16.69, 16.7, 16.71, 16.72, 16.73, 16.74, 16.75, 16.76, 16.77, 16.78, 16.79, 16.8, 16.81, 16.82, 16.83, 16.84, 16.85, 16.86, 16.87, 16.88, 16.89, 16.9, 16.91, 16.92, 16.93, 16.94, 16.95, 16.96, 16.97, 16.98, 16.99, 17, 17.01, 17.02, 17.03, 17.04, 17.05, 17.06, 17.07, 17.08, 17.09, 17.1, 17.11, 17.12, 17.13, 17.14, 17.15, 17.16, 17.17, 17.18, 17.19, 17.2, 17.21, 17.22, 17.23, 17.24, 17.25, 17.26, 17.27, 17.28, 17.29, 17.3, 17.31, 17.32, 17.33, 17.34, 17.35, 17.36, 17.37, 17.38, 17.39, 17.4, 17.41, 17.42, 17.43, 17.44, 17.45, 17.46, 17.47, 17.48, 17.49, 17.5, 17.51, 17.52, 17.53, 17.54, 17.55, 17.56, 17.57, 17.58, 17.59, 17.6, 17.61, 17.62, 17.63, 17.64, 17.65, 17.66, 17.67, 17.68, 17.69, 17.7, 17.71, 17.72, 17.73, 17.74, 17.75, 17.76, 17.77, 17.78, 17.79, 17.8, 17.81, 17.82, 17.83, 17.84, 17.85, 17.86, 17.87, 17.88, 17.89, 17.9, 17.91, 17.92, 17.93, 17.94, 17.95, 17.96, 17.97, 17.98, 17.99, 18, 18.01, 18.02, 18.03, 18.04, 18.05, 18.06, 18.07, 18.08, 18.09, 18.1, 18.11, 18.12, 18.13, 18.14, 18.15, 18.16, 18.17, 18.18, 18.19, 18.2, 18.21, 18.22, 18.23, 18.24, 18.25, 18.26, 18.27, 18.28, 18.29, 18.3, 18.31, 18.32, 18.33, 18.34, 18.35, 18.36, 18.37, 18.38, 18.39, 18.4, 18.41, 18.42, 18.43, 18.44, 18.45, 18.46, 18.47, 18.48, 18.49, 18.5, 18.51, 18.52, 18.53, 18.54, 18.55, 18.56, 18.57, 18.58, 18.59, 18.6, 18.61, 18.62, 18.63, 18.64, 18.65, 18.66, 18.67, 18.68, 18.69, 18.7, 18.71, 18.72, 18.73, 18.74, 18.75, 18.76, 18.77, 18.78, 18.79, 18.8, 18.81, 18.82, 18.83, 18.84, 18.85, 18.86, 18.87, 18.88, 18.89, 18.9, 18.91, 18.92, 18.93, 18.94, 18.95, 18.96, 18.97, 18.98, 18.99, 19, 19.01, 19.02, 19.03, 19.04, 19.05, 19.06, 19.07, 19.08, 19.09, 19.1, 19.11, 19.12, 19.13, 19.14, 19.15, 19.16, 19.17, 19.18, 19.19, 19.2, 19.21, 19.22, 19.23, 19.24, 19.25, 19.26, 19.27, 19.28, 19.29, 19.3, 19.31, 19.32, 19.33, 19.34, 19.35, 19.36, 19.37, 19.38, 19.39, 19.4, 19.41, 19.42, 19.43, 19.44, 19.45, 19.46, 19.47, 19.48, 19.49, 19.5, 19.51, 19.52, 19.53, 19.54, 19.55, 19.56, 19.57, 19.58, 19.59, 19.6, 19.61, 19.62, 19.63, 19.64, 19.65, 19.66, 19.67, 19.68, 19.69, 19.7, 19.71, 19.72, 19.73, 19.74, 19.75, 19.76, 19.77, 19.78, 19.79, 19.8, 19.81, 19.82, 19.83, 19.84, 19.85, 19.86, 19.87, 19.88, 19.89, 19.9, 19.91, 19.92, 19.93, 19.94, 19.95, 19.96, 19.97, 19.98, 19.99, 20, 20.01, 20.02, 20.03, 20.04, 20.05, 20.06, 20.07, 20.08, 20.09, 20.1, 20.11, 20.12, 20.13, 20.14, 20.15, 20.16, 20.17, 20.18, 20.19, 20.2, 20.21, 20.22, 20.23, 20.24, 20.25, 20.26, 20.27, 20.28, 20.29, 20.3, 20.31, 20.32, 20.33, 20.34, 20.35, 20.36, 20.37, 20.38, 20.39, 20.4, 20.41, 20.42, 20.43, 20.44, 20.45, 20.46, 20.47, 20.48, 20.49, 20.5, 20.51, 20.52, 20.53, 20.54, 20.55, 20.56, 20.57, 20.58, 20.59, 20.6, 20.61, 20.62, 20.63, 20.64, 20.65, 20.66, 20.67, 20.68, 20.69, 20.7, 20.71, 20.72, 20.73, 20.74, 20.75, 20.76, 20.77, 20.78, 20.79, 20.8, 20.81, 20.82, 20.83, 20.84, 20.85, 20.86, 20.87, 20.88, 20.89, 20.9, 20.91, 20.92, 20.93, 20.94, 20.95, 20.96, 20.97, 20.98, 20.99, 21, 21.01, 21.02, 21.03, 21.04, 21.05, 21.06, 21.07, 21.08, 21.09, 21.1, 21.11, 21.12, 21.13, 21.14, 21.15, 21.16, 21.17, 21.18, 21.19, 21.2, 21.21, 21.22, 21.23, 21.24, 21.25, 21.26, 21.27, 21.28, 21.29, 21.3, 21.31, 21.32, 21.33, 21.34, 21.35, 21.36, 21.37, 21.38, 21.39, 21.4, 21.41, 21.42, 21.43, 21.44, 21.45, 21.46, 21.47, 21.48, 21.49, 21.5, 21.51, 21.52, 21.53, 21.54, 21.55, 21.56, 21.57, 21.58, 21.59, 21.6, 21.61, 21.62, 21.63, 21.64, 21.65, 21.66, 21.67, 21.68, 21.69, 21.7, 21.71, 21.72, 21.73, 21.74, 21.75, 21.76, 21.77, 21.78, 21.79, 21.8, 21.81, 21.82, 21.83, 21.84, 21.85, 21.86, 21.87, 21.88, 21.89, 21.9, 21.91, 21.92, 21.93, 21.94, 21.95, 21.96, 21.97, 21.98, 21.99, 22, 22.01, 22.02, 22.03, 22.04, 22.05, 22.06, 22.07, 22.08, 22.09, 22.1, 22.11, 22.12, 22.13, 22.14, 22.15, 22.16, 22.17, 22.18, 22.19, 22.2, 22.21, 22.22, 22.23, 22.24, 22.25, 22.26, 22.27, 22.28, 22.29, 22.3, 22.31, 22.32, 22.33, 22.34, 22.35, 22.36, 22.37, 22.38, 22.39, 22.4, 22.41, 22.42, 22.43, 22.44, 22.45, 22.46, 22.47, 22.48, 22.49, 22.5, 22.51, 22.52, 22.53, 22.54, 22.55, 22.56, 22.57, 22.58, 22.59, 22.6, 22.61, 22.62, 22.63, 22.64, 22.65, 22.66, 22.67, 22.68, 22.69, 22.7, 22.71, 22.72, 22.73, 22.74, 22.75, 22.76, 22.77, 22.78, 22.79, 22.8, 22.81, 22.82, 22.83, 22.84, 22.85, 22.86, 22.87, 22.88, 22.89, 22.9, 22.91, 22.92, 22.93, 22.94, 22.95, 22.96, 22.97, 22.98, 22.99, 23, 23.01, 23.02, 23.03, 23.04, 23.05, 23.06, 23.07, 23.08, 23.09, 23.1, 23.11, 23.12, 23.13, 23.14, 23.15, 23.16, 23.17, 23.18, 23.19, 23.2, 23.21, 23.22, 23.23, 23.24, 23.25, 23.26, 23.27, 23.28, 23.29, 23.3, 23.31, 23.32, 23.33, 23.34, 23.35, 23.36, 23.37, 23.38, 23.39, 23.4, 23.41, 23.42, 23.43, 23.44, 23.45, 23.46, 23.47, 23.48, 23.49, 23.5, 23.51, 23.52, 23.53, 23.54, 23.55, 23.56, 23.57, 23.58, 23.59, 23.6, 23.61, 23.62, 23.63, 23.64, 23.65, 23.66, 23.67, 23.68, 23.69, 23.7, 23.71, 23.72, 23.73, 23.74, 23.75, 23.76, 23.77, 23.78, 23.79, 23.8, 23.81, 23.82, 23.83, 23.84, 23.85, 23.86, 23.87, 23.88, 23.89, 23.9, 23.91, 23.92, 23.93, 23.94, 23.95, 23.96, 23.97, 23.98, 23.99, 24, 24.01, 24.02, 24.03, 24.04, 24.05, 24.06, 24.07, 24.08, 24.09, 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13.81, 13.82, 13.83, 13.84, 13.85, 13.86, 13.87, 13.88, 13.89, 13.9, 13.91, 13.92, 13.93, 13.94, 13.95, 13.96, 13.97, 13.98, 13.99, 14, 14.01, 14.02, 14.03, 14.04, 14.05, 14.06, 14.07, 14.08, 14.09, 14.1, 14.11, 14.12, 14.13, 14.14, 14.15, 14.16, 14.17, 14.18, 14.19, 14.2, 14.21, 14.22, 14.23, 14.24, 14.25, 14.26, 14.27, 14.28, 14.29, 14.3, 14.31, 14.32, 14.33, 14.34, 14.35, 14.36, 14.37, 14.38, 14.39, 14.4, 14.41, 14.42, 14.43, 14.44, 14.45, 14.46, 14.47, 14.48, 14.49, 14.5, 14.51, 14.52, 14.53, 14.54, 14.55, 14.56, 14.57, 14.58, 14.59, 14.6, 14.61, 14.62, 14.63, 14.64, 14.65, 14.66, 14.67, 14.68, 14.69, 14.7, 14.71, 14.72, 14.73, 14.74, 14.75, 14.76, 14.77, 14.78, 14.79, 14.8, 14.81, 14.82, 14.83, 14.84, 14.85, 14.86, 14.87, 14.88, 14.89, 14.9, 14.91, 14.92, 14.93, 14.94, 14.95, 14.96, 14.97, 14.98, 14.99, 15, 15.01, 15.02, 15.03, 15.04, 15.05, 15.06, 15.07, 15.08, 15.09, 15.1, 15.11, 15.12, 15.13, 15.14, 15.15, 15.16, 15.17, 15.18, 15.19, 15.2, 15.21, 15.22, 15.23, 15.24, 15.25, 15.26, 15.27, 15.28, 15.29, 15.3, 15.31, 15.32, 15.33, 15.34, 15.35, 15.36, 15.37, 15.38, 15.39, 15.4, 15.41, 15.42, 15.43, 15.44, 15.45, 15.46, 15.47, 15.48, 15.49, 15.5, 15.51, 15.52, 15.53, 15.54, 15.55, 15.56, 15.57, 15.58, 15.59, 15.6, 15.61, 15.62, 15.63, 15.64, 15.65, 15.66, 15.67, 15.68, 15.69, 15.7, 15.71, 15.72, 15.73, 15.74, 15.75, 15.76, 15.77, 15.78, 15.79, 15.8, 15.81, 15.82, 15.83, 15.84, 15.85, 15.86, 15.87, 15.88, 15.89, 15.9, 15.91, 15.92, 15.93, 15.94, 15.95, 15.96, 15.97, 15.98, 15.99, 16, 16.01, 16.02, 16.03, 16.04, 16.05, 16.06, 16.07, 16.08, 16.09, 16.1, 16.11, 16.12, 16.13, 16.14, 16.15, 16.16, 16.17, 16.18, 16.19, 16.2, 16.21, 16.22, 16.23, 16.24, 16.25, 16.26, 16.27, 16.28, 16.29, 16.3, 16.31, 16.32, 16.33, 16.34, 16.35, 16.36, 16.37, 16.38, 16.39, 16.4, 16.41, 16.42, 16.43, 16.44, 16.45, 16.46, 16.47, 16.48, 16.49, 16.5, 16.51, 16.52, 16.53, 16.54, 16.55, 16.56, 16.57, 16.58, 16.59, 16.6, 16.61, 16.62, 16.63, 16.64, 16.65, 16.66, 16.67, 16.68, 16.69, 16.7, 16.71, 16.72, 16.73, 16.74, 16.75, 16.76, 16.77, 16.78, 16.79, 16.8, 16.81, 16.82, 16.83, 16.84, 16.85, 16.86, 16.87, 16.88, 16.89, 16.9, 16.91, 16.92, 16.93, 16.94, 16.95, 16.96, 16.97, 16.98, 16.99, 17, 17.01, 17.02, 17.03, 17.04, 17.05, 17.06, 17.07, 17.08, 17.09, 17.1, 17.11, 17.12, 17.13, 17.14, 17.15, 17.16, 17.17, 17.18, 17.19, 17.2, 17.21, 17.22, 17.23, 17.24, 17.25, 17.26, 17.27, 17.28, 17.29, 17.3, 17.31, 17.32, 17.33, 17.34, 17.35, 17.36, 17.37, 17.38, 17.39, 17.4, 17.41, 17.42, 17.43, 17.44, 17.45, 17.46, 17.47, 17.48, 17.49, 17.5, 17.51, 17.52, 17.53, 17.54, 17.55, 17.56, 17.57, 17.58, 17.59, 17.6, 17.61, 17.62, 17.63, 17.64, 17.65, 17.66, 17.67, 17.68, 17.69, 17.7, 17.71, 17.72, 17.73, 17.74, 17.75, 17.76, 17.77, 17.78, 17.79, 17.8, 17.81, 17.82, 17.83, 17.84, 17.85, 17.86, 17.87, 17.88, 17.89, 17.9, 17.91, 17.92, 17.93, 17.94, 17.95, 17.96, 17.97, 17.98, 17.99, 18, 18.01, 18.02, 18.03, 18.04, 18.05, 18.06, 18.07, 18.08, 18.09, 18.1, 18.11, 18.12, 18.13, 18.14, 18.15, 18.16, 18.17, 18.18, 18.19, 18.2, 18.21, 18.22, 18.23, 18.24, 18.25, 18.26, 18.27, 18.28, 18.29, 18.3, 18.31, 18.32, 18.33, 18.34, 18.35, 18.36, 18.37, 18.38, 18.39, 18.4, 18.41, 18.42, 18.43, 18.44, 18.45, 18.46, 18.47, 18.48, 18.49, 18.5, 18.51, 18.52, 18.53, 18.54, 18.55, 18.56, 18.57, 18.58, 18.59, 18.6, 18.61, 18.62, 18.63, 18.64, 18.65, 18.66, 18.67, 18.68, 18.69, 18.7, 18.71, 18.72, 18.73, 18.74, 18.75, 18.76, 18.77, 18.78, 18.79, 18.8, 18.81, 18.82, 18.83, 18.84, 18.85, 18.86, 18.87, 18.88, 18.89, 18.9, 18.91, 18.92, 18.93, 18.94, 18.95, 18.96, 18.97, 18.98, 18.99, 19, 19.01, 19.02, 19.03, 19.04, 19.05, 19.06, 19.07, 19.08, 19.09, 19.1, 19.11, 19.12, 19.13, 19.14, 19.15, 19.16, 19.17, 19.18, 19.19, 19.2, 19.21, 19.22, 19.23, 19.24, 19.25, 19.26, 19.27, 19.28, 19.29, 19.3, 19.31, 19.32, 19.33, 19.34, 19.35, 19.36, 19.37, 19.38, 19.39, 19.4, 19.41, 19.42, 19.43, 19.44, 19.45, 19.46, 19.47, 19.48, 19.49, 19.5, 19.51, 19.52, 19.53, 19.54, 19.55, 19.56, 19.57, 19.58, 19.59, 19.6, 19.61, 19.62, 19.63, 19.64, 19.65, 19.66, 19.67, 19.68, 19.69, 19.7, 19.71, 19.72, 19.73, 19.74, 19.75, 19.76, 19.77, 19.78, 19.79, 19.8, 19.81, 19.82, 19.83, 19.84, 19.85, 19.86, 19.87, 19.88, 19.89, 19.9, 19.91, 19.92, 19.93, 19.94, 19.95, 19.96, 19.97, 19.98, 19.99, 20, 20.01, 20.02, 20.03, 20.04, 20.05, 20.06, 20.07, 20.08, 20.09, 20.1, 20.11, 20.12, 20.13, 20.14, 20.15, 20.16, 20.17, 20.18, 20.19, 20.2, 20.21, 20.22, 20.23, 20.24, 20.25, 20.26, 20.27, 20.28, 20.29, 20.3, 20.31, 20.32, 20.33, 20.34, 20.35, 20.36, 20.37, 20.38, 20.39, 20.4, 20.41, 20.42, 20.43, 20.44, 20.45, 20.46, 20.47, 20.48, 20.49, 20.5, 20.51, 20.52, 20.53, 20.54, 20.55, 20.56, 20.57, 20.58, 20.59, 20.6, 20.61, 20.62, 20.63, 20.64, 20.65, 20.66, 20.67, 20.68, 20.69, 20.7, 20.71, 20.72, 20.73, 20.74, 20.75, 20.76, 20.77, 20.78, 20.79, 20.8, 20.81, 20.82, 20.83, 20.84, 20.85, 20.86, 20.87, 20.88, 20.89, 20.9, 20.91, 20.92, 20.93, 20.94, 20.95, 20.96, 20.97, 20.98, 20.99, 21, 21.01, 21.02, 21.03, 21.04, 21.05, 21.06, 21.07, 21.08, 21.09, 21.1, 21.11, 21.12, 21.13, 21.14, 21.15, 21.16, 21.17, 21.18, 21.19, 21.2, 21.21, 21.22, 21.23, 21.24, 21.25, 21.26, 21.27, 21.28, 21.29, 21.3, 21.31, 21.32, 21.33, 21.34, 21.35, 21.36, 21.37, 21.38, 21.39, 21.4, 21.41, 21.42, 21.43, 21.44, 21.45, 21.46, 21.47, 21.48, 21.49, 21.5, 21.51, 21.52, 21.53, 21.54, 21.55, 21.56, 21.57, 21.58, 21.59, 21.6, 21.61, 21.62, 21.63, 21.64, 21.65, 21.66, 21.67, 21.68, 21.69, 21.7, 21.71, 21.72, 21.73, 21.74, 21.75, 21.76, 21.77, 21.78, 21.79, 21.8, 21.81, 21.82, 21.83, 21.84, 21.85, 21.86, 21.87, 21.88, 21.89, 21.9, 21.91, 21.92, 21.93, 21.94, 21.95, 21.96, 21.97, 21.98, 21.99, 22, 22.01, 22.02, 22.03, 22.04, 22.05, 22.06, 22.07, 22.08, 22.09, 22.1, 22.11, 22.12, 22.13, 22.14, 22.15, 22.16, 22.17, 22.18, 22.19, 22.2, 22.21, 22.22, 22.23, 22.24, 22.25, 22.26, 22.27, 22.28, 22.29, 22.3, 22.31, 22.32, 22.33, 22.34, 22.35, 22.36, 22.37, 22.38, 22.39, 22.4, 22.41, 22.42, 22.43, 22.44, 22.45, 22.46, 22.47, 22.48, 22.49, 22.5, 22.51, 22.52, 22.53, 22.54, 22.55, 22.56, 22.57, 22.58, 22.59, 22.6, 22.61, 22.62, 22.63, 22.64, 22.65, 22.66, 22.67, 22.68, 22.69, 22.7, 22.71, 22.72, 22.73, 22.74, 22.75, 22.76, 22.77, 22.78, 22.79, 22.8, 22.81, 22.82, 22.83, 22.84, 22.85, 22.86, 22.87, 22.88, 22.89, 22.9, 22.91, 22.92, 22.93, 22.94, 22.95, 22.96, 22.97, 22.98, 22.99, 23, 23.01, 23.02, 23.03, 23.04, 23.05, 23.06, 23.07, 23.08, 23.09, 23.1, 23.11, 23.12, 23.13, 23.14, 23.15, 23.16, 23.17, 23.18, 23.19, 23.2, 23.21, 23.22, 23.23, 23.24, 23.25, 23.26, 23.27, 23.28, 23.29, 23.3, 23.31, 23.32, 23.33, 23.34, 23.35, 23.36, 23.37, 23.38, 23.39, 23.4, 23.41, 23.42, 23.43, 23.44, 23.45, 23.46, 23.47, 23.48, 23.49, 23.5, 23.51, 23.52, 23.53, 23.54, 23.55, 23.56, 23.57, 23.58, 23.59, 23.6, 23.61, 23.62, 23.63, 23.64, 23.65, 23.66, 23.67, 23.68, 23.69, 23.7, 23.71, 23.72, 23.73, 23.74, 23.75, 23.76, 23.77, 23.78, 23.79, 23.8, 23.81, 23.82, 23.83, 23.84, 23.85, 23.86, 23.87, 23.88, 23.89, 23.9, 23.91, 23.92, 23.93, 23.94, 23.95, 23.96, 23.97, 23.98, 23.99, 24, 24.01, 24.02, 24.03, 24.04, 24.05, 24.06, 24.07, 24.08, 24.09, 24.1, 24.11, 24.12, 24.13, 24.14, 24.15, 24.16, 24.17, 24.18, 24.19, 24.2, 24.21, 24.22, 24.23, 24.24, 24.25, 24.26, 24.27, 24.28, 24.29, 24.3, 24.31, 24.32, 24.33, 24.34, 24.35, 24.36, 24.37, 24.38, 24.39, 24.4, 24.41, 24.42, 24.43, 24.44, 24.45, 24.46, 24.47, 24.48, 24.49, 24.5, 24.51, 24.52, 24.53, 24.54, 24.55, 24.56, 24.57, 24.58, 24.59, 24.6, 24.61, 24.62, 24.63, 24.64, 24.65, 24.66, 24.67, 24.68, 24.69, 24.7, 24.71, 24.72, 24.73, 24.74, 24.75, 24.76, 24.77, 24.78, 24.79, 24.8, 24.81, 24.82, 24.83, 24.84, 24.85, 24.86, 24.87, 24.88, 24.89, 24.9, 24.91, 24.92, 24.93, 24.94, 24.95, 24.96, 24.97, 24.98, 24.99, 25, 25.01, 25.02, 25.03, 25.04, 25.05, 25.06, 25.07, 25.08, 25.09, 25.1, 25.11, 25.12, 25.13, 25.14, 25.15, 25.16, 25.17, 25.18, 25.19, 25.2, 25.21, 25.22, 25.23, 25.24, 25.25, 25.26, 25.27, 25.28, 25.29, 25.3, 25.31, 25.32, 25.33, 25.34, 25.35, 25.36, 25.37, 25.38, 25.39, 25.4, 25.41, 25.42, 25.43, 25.44, 25.45, 25.46, 25.47, 25.48, 25.49, 25.5, 25.51, 25.52, 25.53, 25.54, 25.55, 25.56, 25.57, 25.58, 25.59, 25.6, 25.61, 25.62, 25.63, 25.64, 25.65, 25.66, 25.67, 25.68, 25.69, 25.7, 25.71, 25.72, 25.73, 25.74, 25.75, 25.76, 25.77, 25.78, 25.79, 25.8, 25.81, 25.82, 25.83, 25.84, 25.85, 25.86, 25.87, 25.88, 25.89, 25.9, 25.91, 25.92, 25.93, 25.94, 25.95, 25.96, 25.97, 25.98, 25.99, 26, 26.01, 26.02, 26.03, 26.04, 26.05, 26.06, 26.07, 26.08, 26.09, 26.1, 26.11, 26.12, 26.13, 26.14, 26.15, 26.16, 26.17, 26.18, 26.19, 26.2, 26.21, 26.22, 26.23, 26.24, 26.25, 26.26, 26.27, 26.28, 26.29, 26.3, 26.31, 26.32, 26.33, 26.34, 26.35, 26.36, 26.37, 26.38, 26.39, 26.4, 26.41, 26.42, 26.43, 26.44, 26.45, 26.46, 26.47, 26.48, 26.49, 26.5, 26.51, 26.52, 26.53, 26.54, 26.55, 26.56, 26.57, 26.58, 26.59, 26.6, 26.61, 26.62, 26.63, 26.64, 26.65, 26.66, 26.67, 26.68, 26.69, 26.7, 26.71, 26.72, 26.73, 26.74, 26.75, 26.76, 26.77, 26.78, 26.79, 26.8, 26.81, 26.82, 26.83, 26.84, 26.85, 26.86, 26.87, 26.88, 26.89, 26.9, 26.91, 26.92, 26.93, 26.94, 26.95, 26.96, 26.97, 26.98, 26.99, 27, 27.01, 27.02, 27.03, 27.04, 27.05, 27.06, 27.07, 27.08, 27.09, 27.1, 27.11, 27.12, 27.13, 27.14, 27.15, 27.16, 27.17, 27.18, 27.19, 27.2, 27.21, 27.22, 27.23, 27.24, 27.25, 27.26, 27.27, 27.28, 27.29, 27.3, 27.31, 27.32, 27.33, 27.34, 27.35, 27.36, 27.37, 27.38, 27.39, 27.4, 27.41, 27.42, 27.43, 27.44, 27.45, 27.46, 27.47, 27.48, 27.49, 27.5, 27.51, 27.52, 27.53, 27.54, 27.55, 27.56, 27.57, 27.58, 27.59, 27.6, 27.61, 27.62, 27.63, 27.64, 27.65, 27.66, 27.67, 27.68, 27.69, 27.7, 27.71, 27.72, 27.73, 27.74, 27.75, 27.76, 27.77, 27.78, 27.79, 27.8, 27.81, 27.82, 27.83, 27.84, 27.85, 27.86, 27.87, 27.88, 27.89, 27.9, 27.91, 27.92, 27.93, 27.94, 27.95, 27.96, 27.97, 27.98, 27.99, 28, 28.01, 28.02, 28.03, 28.04, 28.05, 28.06, 28.07, 28.08, 28.09, 28.1, 28.11, 28.12, 28.13, 28.14, 28.15, 28.16, 28.17, 28.18, 28.19, 28.2, 28.21, 28.22, 28.23, 28.24, 28.25, 28.26, 28.27, 28.28, 28.29, 28.3, 28.31, 28.32, 28.33, 28.34, 28.35, 28.36, 28.37, 28.38, 28.39, 28.4, 28.41, 28.42, 28.43, 28.44, 28.45, 28.46, 28.47, 28.48, 28.49, 28.5, 28.51, 28.52, 28.53, 28.54, 28.55, 28.56, 28.57, 28.58, 28.59, 28.6, 28.61, 28.62, 28.63, 28.64, 28.65, 28.66, 28.67, 28.68, 28.69, 28.7, 28.71, 28.72, 28.73, 28.74, 28.75, 28.76, 28.77, 28.78, 28.79, 28.8, 28.81, 28.82, 28.83, 28.84, 28.85, 28.86, 28.87, 28.88, 28.89, 28.9, 28.91, 28.92, 28.93, 28.94, 28.95, 28.96, 28.97, 28.98, 28.99, 29, 29.01, 29.02, 29.03, 29.04, 29.05, 29.06, 29.07, 29.08, 29.09, 29.1, 29.11, 29.12, 29.13, 29.14, 29.15, 29.16, 29.17, 29.18, 29.19, 29.2, 29.21, 29.22, 29.23, 29.24, 29.25, 29.26, 29.27, 29.28, 29.29, 29.3, 29.31, 29.32, 29.33, 29.34, 29.35, 29.36, 29.37, 29.38, 29.39, 29.4, 29.41, 29.42, 29.43, 29.44, 29.45, 29.46, 29.47, 29.48, 29.49, 29.5, 29.51, 29.52, 29.53, 29.54, 29.55, 29.56, 29.57, 29.58, 29.59, 29.6, 29.61, 29.62, 29.63, 29.64, 29.65, 29.66, 29.67, 29.68, 29.69, 29.7, 29.71, 29.72, 29.73, 29.74, 29.75, 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