From 124760c2e6a76d2dcbae4ad410ea2322ab129cca Mon Sep 17 00:00:00 2001 From: danny <12793148@qq.com> Date: Sun, 22 Sep 2024 20:47:43 +0800 Subject: [PATCH] =?UTF-8?q?=E5=AE=8C=E6=88=90=E5=AE=9A=E6=97=B6=E5=99=A8?= =?UTF-8?q?=E7=9A=84=E8=AE=A1=E6=97=B6=E5=8A=9F=E8=83=BD?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- book/05:定时器/01.md | 403 ++++++++++++++++++ .../img/image-20240917190453681.png | Bin 0 -> 28605 bytes .../img/image-20240917193958697.png | Bin 0 -> 109048 bytes .../img/image-20240922094517185.png | Bin 0 -> 201334 bytes .../img/image-20240922105450832.png | Bin 0 -> 41043 bytes .../img/image-20240922105559848.png | Bin 0 -> 45297 bytes .../img/image-20240922105932899.png | Bin 0 -> 25410 bytes .../img/image-20240922110842727.png | Bin 0 -> 38731 bytes .../img/image-20240922111151540.png | Bin 0 -> 41644 bytes .../img/image-20240922111416244.png | Bin 0 -> 5171 bytes .../img/image-20240922111452751.png | Bin 0 -> 5119 bytes .../img/image-20240922140840757.png | Bin 0 -> 4575 bytes .../img/image-20240922185613665.png | Bin 0 -> 31239 bytes .../img/image-20240922191931460.png | Bin 0 -> 68959 bytes .../img/image-20240922192310094.png | Bin 0 -> 54942 bytes .../img/image-20240922194116122.png | Bin 0 -> 81589 bytes .../img/image-20240922194440003.png | Bin 0 -> 119864 bytes .../img/image-20240922195130424.png | Bin 0 -> 61710 bytes .../img/image-20240922201006253.png | Bin 0 -> 65130 bytes .../img/image-20240922201054848.png | Bin 0 -> 46825 bytes .../img/image-20240922201213498.png | Bin 0 -> 39430 bytes .../img/image-20240922201428110.png | Bin 0 -> 64703 bytes .../img/image-20240922201535346.png | Bin 0 -> 76181 bytes .../img/image-20240922201635738.png | Bin 0 -> 94431 bytes .../img/image-20240922201819520.png | Bin 0 -> 88688 bytes .../img/image-20240922201943442.png | Bin 0 -> 90116 bytes .../img/image-20240922202146788.png | Bin 0 -> 110579 bytes .../img/image-20240922202324216.png | Bin 0 -> 71959 bytes ppt/第二章.pptx | Bin 24543680 -> 24543698 bytes 29 files changed, 403 insertions(+) create mode 100644 book/05:定时器/img/image-20240917190453681.png create mode 100644 book/05:定时器/img/image-20240917193958697.png create mode 100644 book/05:定时器/img/image-20240922094517185.png create mode 100644 book/05:定时器/img/image-20240922105450832.png create mode 100644 book/05:定时器/img/image-20240922105559848.png create mode 100644 book/05:定时器/img/image-20240922105932899.png create mode 100644 book/05:定时器/img/image-20240922110842727.png create mode 100644 book/05:定时器/img/image-20240922111151540.png create mode 100644 book/05:定时器/img/image-20240922111416244.png create mode 100644 book/05:定时器/img/image-20240922111452751.png create mode 100644 book/05:定时器/img/image-20240922140840757.png create mode 100644 book/05:定时器/img/image-20240922185613665.png create mode 100644 book/05:定时器/img/image-20240922191931460.png create mode 100644 book/05:定时器/img/image-20240922192310094.png create mode 100644 book/05:定时器/img/image-20240922194116122.png create mode 100644 book/05:定时器/img/image-20240922194440003.png create mode 100644 book/05:定时器/img/image-20240922195130424.png create mode 100644 book/05:定时器/img/image-20240922201006253.png create mode 100644 book/05:定时器/img/image-20240922201054848.png create mode 100644 book/05:定时器/img/image-20240922201213498.png create mode 100644 book/05:定时器/img/image-20240922201428110.png create mode 100644 book/05:定时器/img/image-20240922201535346.png create mode 100644 book/05:定时器/img/image-20240922201635738.png create mode 100644 book/05:定时器/img/image-20240922201819520.png create mode 100644 book/05:定时器/img/image-20240922201943442.png create mode 100644 book/05:定时器/img/image-20240922202146788.png create mode 100644 book/05:定时器/img/image-20240922202324216.png diff --git a/book/05:定时器/01.md b/book/05:定时器/01.md index e69de29..3c25f3a 100644 --- a/book/05:定时器/01.md +++ b/book/05:定时器/01.md @@ -0,0 +1,403 @@ +[TOC] + +# 1. 定时器概述 + +定时器的工作如同闹钟,单不只是闹钟这么简单。 + +## 1.1. 定时器工作原理 + +1. 计数模式:对引脚输人的外部脉冲信号进行计数(如何实现?)。 +2. 定时模式:对处理器内部的周期性时钟信号进行计数(时钟信号的频率是确定的,设置一个数,一个时钟信号递减1,当减少到0的时候,这个过程的时间就是定时的时间)。 +3. 定时时钟:在定时模式下,输人定时器的周期性时钟信号称为定时时钟(为定时器提供的稳定时钟信号)。 +4. 计数时间:在定时模式下,定时器内部的计数单元记一次数所花费的时间称为计数时间,该值为定时时钟频率的倒数。 + +根据定时时钟和计数时间的定义,我们可以得到定时器的定时时间计算公式: + +定时时间=计数值x计数时间 + +定时时间=计数值/定时时钟频率 + +## 1.2. STM32定时器介绍 + +![image-20240917190453681](./img/image-20240917190453681.png) + +专用定时器(略): + +1. 开门狗(什么是看门狗?有什么用?); +2. 实时时钟:就是我们所说的时间和日期; +3. 低功耗定时器:低功耗模式(如休眠)下任然工作,用于休眠中唤醒的定时器。 + +常规定时器: + +1. 基本定时器:几乎没有任何对外的输入/输出通道,常用作时间基准(时基),实现基本的定时功能。 +2. 通用定时器:具备多路独立的捕获/比较通道,可以完成定时/计数、输入捕获、输出比较等功能还可以连接其他的传感器接口,如编码器和霍尔传感器。 +3. 高级定时器:高级定时器的功能最为强大,除了具备通用定时器的功能外,还增加了重复计数器带死区控制的互补信号输出等功能,可用于电机控制等领域。 + +[视频-时钟树](https://www.bilibili.com/video/BV1ph4y1e7Ey/?spm_id_from=333.788&vd_source=3c8e333d6657680a469ddf0238f01d6a) + +![image-20240922094517185](./img/image-20240922094517185.png) + +总线结构(中文手册25页) + +![image-20240917193958697](./img/image-20240917193958697.png) + +[视频-定时器](https://www.bilibili.com/video/BV11u4y1A7gS/?spm_id_from=333.788&vd_source=3c8e333d6657680a469ddf0238f01d6a) + +无论哪一种定时器,最基本的功能都是定时和计数,在这两个功能的基础上又衍生出其他的功能。在实际的工程应用中,最常用的定时器功能有以下三种:(P205) +① 定时/计数功能:用于产生时间基准以及测量外部脉冲的个数。 +②输出比较功能:包括 PWM 输出、电平翻转、单脉冲输出以及强制输出等功能。 +③ 输入捕获功能:用于测量输人信号的脉冲宽度。 + +# 2. HAL库外设模块设计方法 + +## 2.1. 外设句柄设计(略p205) + +本质上是用一个结构体来描述一个外设(定时器、串口、I2C等寄存器等)。 + +![image-20240922194116122](./img/image-20240922194116122.png) + +## 2.2. 外设编程模型 + +HAL库根据微控制器和外设的数据传输方式,设计了轮询(一般在主程序中去读取外设的状态,从而进行相应的处理)、中断(通过中断服务进行外设状态变化的函数回调)和 DMA(类似中断,不过关联了DMA的功能) 三种编程模型,用于外设的数据传输。 +以定时器的定时功能为例,三种编程模型下的接口函数分别是: + +![image-20240922194440003](./img/image-20240922194440003.png) + +> 在下面的例子中,我们将会使用到中断方式启用外设。DMA方式将在下一章,串口中进行讲解。 + +## 2.3. 外设通用接口函数设计(p208) + +1. 初始化函数; +2. I/O操作函数; +3. 控制函数; +4. 状态函数; + +# 3. 定时/计数功能 + +## 3.1. 时钟源 + +时钟源主要有四种(p209),我们目前主要介绍内部时钟源(CK_INT)。注意,这里所说的内部时钟源是统称,表示总线上的是时钟,不是指MCU提供时钟的时钟源。为MCU提供时钟信号的也分为内部和外部,但最终都会形成总线上的时钟信号(AHB)。 + +通过设置相关的寄存器,选择对应的时钟源后,该时钟源将作为时基单元的预分频时钟CK_PSC送人时基单元。时钟源选择的示意图如图8-3所示。 + +![image-20240922105450832](./img/image-20240922105450832.png) + + + +## 3.2. 时基单元 + +时基单元是定时器的核心控制单元,负责时钟源的分频、计数和溢出重载等基本功能。它主要由三个模块组成:预分频模块、计数模块和自动重载模块。时基单元的功能框图如图 8-4所示。 + +![image-20240922105559848](./img/image-20240922105559848.png) + +### 3.2.1. 预分频模块 + +预分频模块的工作原理如下:定时器启动后,预分频计数器的初值为0。预分频时钟CK_PSC每输入一个脉冲,预分频计数器的计数值就自动加一。当计数值等于预分频寄存器中存放的预分频系数PSC时,计数值清零,并开始下一轮计数。 + +![image-20240922105932899](./img/image-20240922105932899.png) + +预分频时钟 CK_PSC 经过预分频模块后,得到计数时钟CK_CNT,它的计算公式如下: + +![image-20240922140840757](./img/image-20240922140840757.png) + +注意:0表示不分频,1表示2分频,因此需要PSC+1, + +### 3.2.2. 计数模块 + +计数模块由核心计数器和计数器寄存器TIMx_CNT组成:核心计数器用来对预分频模块输出的计数时钟 CK_CNT进行二次计数。计数时钟CK_CNT每输入一个脉冲,核心计数器的计数值就自动加一或减一(根据用户设置的不同计数模式来决定是加一还是减一)。计数器寄存器则用来存放核心计数器运行时的计数值,便于用户读取。 + +### 3.2.3. 自动重载模块 + +自动重载模块由自动重载寄存器TIMx_ARR构成,用来设置计数器的计数终值或计数初值,决定计数脉冲的多少(计数模式)或定时周期(定时模式)的长短。我们将TMx_ARR寄存器的内容记为自动重载值ARR。当定时器设置为递增计数模式时,ARR作为计数器的计数终值,表示记到ARR时发生溢出。当定时器设置为递减计数模式时,ARR作为计数器的计数初值,表示从ARR开始向下计数。 + +### 3.2.4. 计数模式 + +定时器的计数模块支持三种计数模式:递增计数、递减计数和中心对齐计数,并产生溢出事件,作为定时器的更新中断(定时中断)。 + +1. 递增计数:计数器从0开始向上计数,当计数值等于ARR时,产生计数器上溢事件,并从0开始新一轮的计数周期。 + +2. 递减计数:计数器从ARR开始向下计数,当计数值等于0时,产生计数器下溢事件,并从ARR开始新一轮的计数周期。 + +3. 中心对齐计数(递增/递减计数):计数器从0开始向上计数,当计数值等于ARR-1时,产生计数器上溢事件;然后从ARR 开始向下计数,当计数值等于1时,产生计数器下溢事件。之后再从0开始新一轮的计数周期。 + + + +三种计数模式的计数过程如图 8-6所示。 + +![image-20240922110842727](./img/image-20240922110842727.png) + +> 预装载功能和影子寄存器(p212): + +### 3.2.5. 定时时间计算公式 + +当定时器工作于定时模式时,预分频时钟 CK_PSC 等于定时时钟 TIMx_CLK。定时时间由 TIMx_CLK 的频率、预分频系数 PSC 和自动重载值 ARR 三者决定。 + +假设PSC=1,ARR=36,采用递增计数模式,计数器寄存器的初值为0。定时器的时序如图 8-7 所示。 + +![image-20240922111151540](./img/image-20240922111151540.png) + +预分频时钟 CK_PSC经过分频后,得到计数时钟CK_CNT,送入计数器。计数器的计数时间为1/C_KCNT,代入式(8-3),可以得到计数时间为(PSC+1)/CK_PSC。由于实际的计数值为 ARR+1,将计数值和计数时间代入式(8-1),可以得到定时时间的计算公式: + +![image-20240922111416244](./img/image-20240922111416244.png) + +![image-20240922111452751](./img/image-20240922111452751.png) + +## 3.3. 外部脉冲计数(p214略) + +对外部的脉冲信号进行计数,例如通过传感器统计生产线上物料个数。这是外部传感器在有物料通过时可以产生一个脉冲,输入到MCU,使用定时器的计数模式进行统计。 + +定时器的计数模式在硬件上有极性选择、分频、滤波等电路,可以实现较高频率的脉冲计数,同时可以对输入波形进行滤波,减少干扰的影响。 + +> 其实,如果对低频脉冲的统计,可以使用IO的外部中断即可(每个中断对全局变量进行累加);但是IO中断并不提供分频、滤波等功能,因此不适合高频率的脉冲,抗干扰能力也较弱。 + +![image-20240922195130424](./img/image-20240922195130424.png) + +> 定时器的ETR引脚和书上的不一致,请参考芯片手册。 + +## 3.4. 定时/计数功能的数据类型(略:p215) + +在 stm32f1xx_hal_tim.h 的大约 46 行: + +```c +typedef struct +{ + uint32_t Prescaler; /*!< Specifies the prescaler value used to divide the TIM clock. + This parameter can be a number between Min_Data = 0x0000 and Max_Data = 0xFFFF */ + + uint32_t CounterMode; /*!< Specifies the counter mode. + This parameter can be a value of @ref TIM_Counter_Mode */ + + uint32_t Period; /*!< Specifies the period value to be loaded into the active + Auto-Reload Register at the next update event. + This parameter can be a number between Min_Data = 0x0000 and Max_Data = 0xFFFF. */ + + uint32_t ClockDivision; /*!< Specifies the clock division. + This parameter can be a value of @ref TIM_ClockDivision */ + + uint32_t RepetitionCounter; /*!< Specifies the repetition counter value. Each time the RCR downcounter + reaches zero, an update event is generated and counting restarts + from the RCR value (N). + This means in PWM mode that (N+1) corresponds to: + - the number of PWM periods in edge-aligned mode + - the number of half PWM period in center-aligned mode + GP timers: this parameter must be a number between Min_Data = 0x00 and + Max_Data = 0xFF. + Advanced timers: this parameter must be a number between Min_Data = 0x0000 and + Max_Data = 0xFFFF. */ + + uint32_t AutoReloadPreload; /*!< Specifies the auto-reload preload. + This parameter can be a value of @ref TIM_AutoReloadPreload */ +} TIM_Base_InitTypeDef; +``` + +![image-20240922201006253](./img/image-20240922201006253.png) + +ClockDivision 用于计数和输入捕获的滤波(略)。 + +![image-20240922201054848](./img/image-20240922201054848.png) + +![image-20240922201213498](./img/image-20240922201213498.png) + +## 3.5. 定时/计数功的接口函数(p217) + +### 3.5.1. 时基单元初始化函数(HAL_TIM_Base_Init) + +该函数用于时基单元的初始化,将用户设定的配置参数写人对应的寄存器,具体描述如表 8-7 所示。 + +![image-20240922201428110](./img/image-20240922201428110.png) + +### 3.5.2. 定时器轮询方式启动函数(HAL_TIM_Base_Start) + +该函数用于在轮询方式下启动定时器运行,具体描述如表 8-8所示。 + +![image-20240922201535346](./img/image-20240922201535346.png) + +### 3.5.3. 定时器中断方式启动函数(HAL_TIM_Base_Start_IT) + +该函数用于在中断方式下启动定时器运行,具体描述如表8-9所示。 + +![image-20240922201635738](./img/image-20240922201635738.png) + +### 3.5.4. 定时器中断通用处理函数(HAL_TIM_IROHandler) + +该函数是所有定时器中断发生后的通用处理程序。任何一个定时器的相关中断(如更新中断或捕获中断)发生后,都会通过中断向量表中的定时器中断服务程序TMxIROHandler()(x表示定时器编号1~11)调用该函数。在函数内部会进行中断类型的判断,并清除对应的中断标志,然后再根据不同的中断类型,调用不同的回调函数来完成具体的中断处理任务。具体描述如表 8-10所示。 + +![image-20240922201819520](./img/image-20240922201819520.png) + +### 3.5.5. 定时器更新中断回调函数(HAL_TIM_PeriodElapsedCallback) + +该函数用于处理发生更新中断后的具体任务。任何一个定时器发生更新中断后,都会调用更新中断回调函数。因此,在函数内部需要判断是哪一个定时器产生的本次更新中断,然后再执行具体的中断处理任务。具体描述如表8-11所示。 + +![image-20240922201943442](./img/image-20240922201943442.png) + +> 注意:这个函数有缺省的实现,是用weak标识的,因此一般情况下需要重新定义该函数来完成用户逻辑的处理。 + +### 3.5.6. 定时器中断标志清除函数(__HAL_TIM_CLEAR_IT) + +该函数用于清除定时器的各类中断标志,采用带参数的宏实现(宏函数),与普通函数相比,宏函数省去了函数调用的过程,执行效率较高。具体描述如表 8-12所示。 + +![image-20240922202146788](./img/image-20240922202146788.png) + +### 3.5.7. 定时器计数值读取函数(__HAL_TIM_GET_COUNTER) + +该函数用于读取定时器的计数值,采用带参数的宏实现(宏函数),具体描述如表 8-13 +所示。 + +![image-20240922202324216](./img/image-20240922202324216.png) + +## 3.6. 基础任务:定时闪烁指示灯 + +### 3.6.1. 实现过程 + +使用绿色LED(PA7)进行显示,定时器4以中断方式运行,每隔1秒钟切换一次电平。 + +1. 以前面讲的方式建立一个项目,名称是 TimerLED; +2. 设置PA7为输出模式,并设置标签为LED; +3. 使用TIM4作为定时器。检查TIM4挂接的总线([STM32定时器介绍](#STM32定时器介绍)),知道是挂接在APB1上; +4. 检查时钟配置: + +![image-20240922185613665](./img/image-20240922185613665.png) + +知道APB1的定时器时钟是8M。注意:定时器的中断时间是需要按照定时器所在总线的时钟进行设置的。 + +5. 配置时钟: + +![image-20240922191931460](./img/image-20240922191931460.png) + +勾选2位置,以便使用内部时钟(指APB总线时钟,不是外部时钟晶体和内部RC时钟源);在3位置设置PSC为7999;在4位置设置ARR为999;根据8-4公式,可以知道此时的时钟计时周期为1秒; + +6. 开启TIM4的全局中断,并保存生成代码框架。 + +![image-20240922192310094](./img/image-20240922192310094.png) + +7. 在 main.c 的 /* USER CODE BEGIN 2 */ 位置插入下列代码: + +```c + /* USER CODE BEGIN 2 */ + HAL_TIM_Base_Start_IT(&htim4); + /* USER CODE END 2 */ +``` + +8. 在 main.c 文件的 /* USER CODE BEGIN 0 */ 位置插入定时中断回调函数: + +```c +/* USER CODE BEGIN 0 */ +void HAL_TIM_PeriodElapsedCallback(TIM_HandleTypeDef *htim) { + if (htim->Instance == TIM4) + HAL_GPIO_TogglePin(LED_GPIO_Port, LED_Pin); +} +/* USER CODE END 0 */ +``` + +好了,下载到开发板后,绿色LED应该亮一秒,灭一秒,一直循环。 + +### 3.6.2. 代码分析 + +main.c 的 43 行定义了外设TIM4的句柄: + +```c +TIM_HandleTypeDef htim4; +``` + +这个书上没有讲,其实就是针对 TIM4 这个外设的结构体,包括配置信息和相关的操作函数指针(有点像Java中的类定义),有兴趣可以看看。 + +main.c 的 147 行左右是定时器的初始化: + +```c +static void MX_TIM4_Init(void) { + + /* USER CODE BEGIN TIM4_Init 0 */ + + /* USER CODE END TIM4_Init 0 */ + + TIM_ClockConfigTypeDef sClockSourceConfig = { 0 }; + TIM_MasterConfigTypeDef sMasterConfig = { 0 }; + + /* USER CODE BEGIN TIM4_Init 1 */ + + /* USER CODE END TIM4_Init 1 */ + htim4.Instance = TIM4; + htim4.Init.Prescaler = 7999; + htim4.Init.CounterMode = TIM_COUNTERMODE_UP; + htim4.Init.Period = 999; + htim4.Init.ClockDivision = TIM_CLOCKDIVISION_DIV1; + htim4.Init.AutoReloadPreload = TIM_AUTORELOAD_PRELOAD_DISABLE; + if (HAL_TIM_Base_Init(&htim4) != HAL_OK) { + Error_Handler(); + } + sClockSourceConfig.ClockSource = TIM_CLOCKSOURCE_INTERNAL; + if (HAL_TIM_ConfigClockSource(&htim4, &sClockSourceConfig) != HAL_OK) { + Error_Handler(); + } + sMasterConfig.MasterOutputTrigger = TIM_TRGO_RESET; + sMasterConfig.MasterSlaveMode = TIM_MASTERSLAVEMODE_DISABLE; + if (HAL_TIMEx_MasterConfigSynchronization(&htim4, &sMasterConfig) + != HAL_OK) { + Error_Handler(); + } + /* USER CODE BEGIN TIM4_Init 2 */ + + /* USER CODE END TIM4_Init 2 */ + +} +``` + + /* USER CODE BEGIN 2 */ 位置的代码: + +``` +HAL_TIM_Base_Start_IT(&htim4); +``` + +表示以中断方式启动TIM4; + +stm32f1xx_it.c 的大约 204 行: + +```c +void TIM4_IRQHandler(void) +{ + /* USER CODE BEGIN TIM4_IRQn 0 */ + + /* USER CODE END TIM4_IRQn 0 */ + HAL_TIM_IRQHandler(&htim4); + /* USER CODE BEGIN TIM4_IRQn 1 */ + + /* USER CODE END TIM4_IRQn 1 */ +} +``` + +此代码是自动生成的,函数 TIM4_IRQHandler(void) 是 TIM4 溢出中断调用的函数,该函数调用了 HAL_TIM_IRQHandler(),这个函数,并传入了 htim4 这个结构体的指针,标识TIM4中断;接着看 stm32f1xx_hal_tim.c 的大约 3882 行开始的 HAL_TIM_IRQHandler() 这个函数;这个函数很复杂,在大约3959行调用了 HAL_TIM_PeriodElapsedCallback(htim); 这个函数。因此该中断的调用过程是: + +TIM4_IRQHandler->HAL_TIM_IRQHandler->HAL_TIM_PeriodElapsedCallback + +HAL_TIM_PeriodElapsedCallback 是我们在主函数中定义的用户逻辑函数。 + +## 3.7. 进阶任务:外部脉冲计数(略) + + + +# 4. PWM输出功能 + + + +## 4.1. 捕获/比较通道 + +## 4.2. PWM实现原理 + +## 4.3. PWM输出功能的数据类型 + +## 4.4. PWM输出功能的接口函数 + +## 4.5. 基础任务:输出PWM信号 + +## 4.6. 进阶任务:实现呼吸灯 + +# 5. 输入捕获功能 + +## 5.1. 输入捕获功能概述 + +## 5.2. 输入捕获功能的数据类型 + +## 5.3. 输入捕获功能的接口函数 + +## 5.4. 挑战任务:信号测量 + diff --git a/book/05:定时器/img/image-20240917190453681.png b/book/05:定时器/img/image-20240917190453681.png new file mode 100644 index 0000000000000000000000000000000000000000..07a37b7a202da54b809db1c15abc0246a55b2704 GIT binary patch literal 28605 zcmd42WmJ@J*gZNR-60^2N(fR?l0&I<2n^j45<`k~OBi%X!;j7Zfgz;3yNB-X&hvop zd)7MZeEom;`^8zqJoj_wb?s~KeScS0l)}ZLzyg6lxH8i3R6rmUJP-(J0|OcO=0m(7 z2M9z5l6fbt=908ir#Jpbc;u`5QD}~VM2}A_CYvLaYC9jcN8ftz5+&KO#TVnb*th&q zgJZY4JK%BP-(AnW-YnAN$6P`+)W;9fKKYOTgD{mz9zW0_1mJ`j>a~ z+Nqn~EIQDzPeVh4==U!~q_90~50Y0nh{tL2*^bZ7+pZ~aw@0(h>GH?DnYdNmu@WL4 zIj`$Q&d5t>1M}eHH2m}wcmAPT~D>kk*0 z?s<<@p@uyyK{(RDqjtEmQmWoavm(rwF-y#^=scy(QwG-IeB2dTPEuTK*Af$J5{wM_ z+ch1_Mq`CpNaKv=`Ev%hlEpN^kG;3rxb~vzxGKVeBI@-yUXzfeS=?oEE#MN4@G!Kg z7O_q+sL>iybrf&QqS#}ek5_%WsNYAx^#qOUnT~};Q7`>|Mb=jXL91OGgRv+>gZbU_ 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