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通过FSMC驱动Ilitek ILI9325液晶屏以及XPT2046触控芯片

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4y1b3|  楼主 | 2023-5-25 19:22 | 只看该作者 |只看大图 回帖奖励 |倒序浏览 |阅读模式
FSMC, ILI9325, Lite, SMC, TE
STM32F407VE单片机通过FSMC驱动Ilitek ILI9325液晶屏以及XPT2046触控芯片
本程序使用的单片机为STM32F407VE，晶振大小为8MHz，用10厘米长的杜邦线和彩屏相连，彩屏为微雪（Waveshare）的3.2inch 320x240 ILI9325 Touch LCD (C)。

程序下载地址：


https://pan.baidu.com/s/1LVQRdv3jZ9n5oAR_7yUZxw（提取码：awib）


（程序里面注释FSMC_D16=>RS写错了，应该是A16才对，D没有16）

运行程序时如果发现LCD ID（0号寄存器）读出来是0，说明很有可能你的彩屏的芯片不是ILI9325，而是ILI9341。ILI9341的0号命令是空操作，是读不出来ID的，而且读写屏幕的代码也有很大的差别。
关于ILI9341彩屏的驱动请参阅：
https://blog.csdn.net/ZLK1214/article/details/107144250









使用特权

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沙发
4y1b3|  楼主 | 2023-5-25 19:23 | 只看该作者


连线时，最上排的GND 5V-IN不接，由于U1和U2没有焊，所以单片机无法控制背光开启和关闭，不用接BL-VCC以及旁边的GND、NC和BL-VTRL。电源只接最后一排的GND和3V3。

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板凳
lidi911| | 2023-5-25 19:25 | 只看该作者
搞个GBA游戏模拟器还是不错的。

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地板
4y1b3|  楼主 | 2023-5-26 14:32 | 只看该作者
触摸芯片引脚：
TP-IRQ=>PC4（中断引脚，低电平有效，按一次触发一次）
TP-SCK=>PA5
TP-CS=>PA4
TP-SDO=>PA6
TP-SDI=>PA7

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5楼
4y1b3|  楼主 | 2023-5-26 22:04 | 只看该作者
FSMC引脚：
D0~15是FSMC的16位并行数据线。LCD-CS接PD7，WR接PD5，RST接PD12。
RS接PD11（FSMC_A16），RD接PD4（FSMC_NOE），这两个引脚很容易混淆，千万不要接反了！！！接反了虽然能读出来0号寄存器为0x9325，但是后面的操作都是无效的，程序虽正确但屏幕一直为白屏。

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6楼
4y1b3|  楼主 | 2023-5-26 22:05 | 只看该作者

用杜邦线连接彩屏会有一定概率出现传输错误。在示例程序中先显示了一张图片，然后再从屏幕中读回来，检查就会发现其中有极个别字节和原来的图像数据不一致。将FSMC的AddressHoldTime和DataSetupTime改到最大就没有错误了，不过刷屏的速率很慢。

使用特权

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7楼
4y1b3|  楼主 | 2023-5-26 22:18 | 只看该作者
【主要代码】

main.c：
复制
#include <stdio.h>

#include <stm32f4xx.h>

#include <string.h>

#include "common.h"

#include "images.h"

#include "ILI9325.h"

#include "XPT2046.h"

 

static void check_display(const void *image, int x, int y, int width, int height)

{

  int i, j, curr;

  int err = 0, count = 0;

  uint16_t pixels[50];

  

  for (i = 0; i < height; i++)

  {

    for (j = 0; j < width; j += curr)

    {

      curr = _countof(pixels);

      if (curr > width - j)

        curr = width - j;

      

      ILI9325_GetPixelsInRect(pixels, x + j, y + i, curr, 1);

      if (memcmp(pixels, (uint16_t *)image + i * width + j, curr * sizeof(uint16_t)) != 0)

        err++;

      count++;

    }

  }

  if (err == 0)

    printf("Display OK!\n");

  else

  {

    // 使用杜邦线连接彩屏时, 有可能会有个别字节传输出错

    // 将FSMC的AddressHoldTime和DataSetupTime改大可以降低错误率

    printf("Display error! err/count=%d/%d\n", err, count);

  }

}

 

int main(void)

{

  int x, y;

  

  HAL_Init();

  

  clock_init();

  usart_init(115200);

  printf("STM32F407VE FSMC ILI9325\n");

  printf("SystemCoreClock=%u\n", SystemCoreClock);

  

  ILI9325_Init(); // 初始化彩屏

  ILI9325_Clear(ILI9325_COLOR_RED); // 背景色刷为红色

  

  XPT2046_Init(); // 初始化触控

  

  // 彩屏的坐标轴方向: 短边为x轴, 长边为y轴

  // 图片myimage是逆时针旋转了90度后转换成数组的

  HAL_Delay(1000);

  ILI9325_DrawImage(myimage, 0, 36, _countof(myimage[0]), _countof(myimage)); // 在屏幕上显示一张图片

  check_display(myimage, 0, 36, _countof(myimage[0]), _countof(myimage)); // 检查是否显示正确

  

  while (1)

  {

    // 每按一下, 触发一次中断

    if (XPT2046_GetITStatus())

    {

      XPT2046_ReadPosition(&x, &y);

      printf("(%d,%d)\n", x, y);

      ILI9325_SetPixel(x, y, 0x4010);

    }

  }

}

使用特权

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8楼
4y1b3|  楼主 | 2023-5-26 22:20 | 只看该作者
ILI9325.c：
复制
#include <stdio.h>

#include <stm32f4xx.h>

#include "ILI9325.h"

 

// 因为彩屏背面的U1和U2这两个集成电路没有焊, 所以无法通过BL-VTRL引脚控制背光

// 本程序不进行背光控制, 只进行复位控制

#define RST_OFF HAL_GPIO_WritePin(GPIOD, GPIO_PIN_12, GPIO_PIN_SET)

#define RST_ON HAL_GPIO_WritePin(GPIOD, GPIO_PIN_12, GPIO_PIN_RESET)

 

NOR_HandleTypeDef hnor;

 

/* 清屏 */

void ILI9325_Clear(uint16_t color)

{

  int i = ILI9325_CX * ILI9325_CY;

  

  ILI9325_SetRegion(0, 0, ILI9325_CX - 1, ILI9325_CY - 1);

  ILI9325_CMD = ILI9325_CMD_MEMORY_WRITE;

  while (i--)

    ILI9325_DATA = color;

}

 

/* 显示图片 */

void ILI9325_DrawImage(const void *image, uint16_t x, uint16_t y, uint16_t width, uint16_t height)

{

  const uint16_t *p = image;

  int i = width * height;

  

  ILI9325_SetRegion(x, y, x + width - 1, y + height - 1);

  ILI9325_CMD = ILI9325_CMD_MEMORY_WRITE;

  while (i--)

    ILI9325_DATA = *p++;

}

 

/* 读取指定区域的屏幕显示内容 */

void ILI9325_GetPixelsInRect(void *pixels, uint16_t x, uint16_t y, uint16_t width, uint16_t height)

{

  int i, j;

  uint16_t *p = pixels;

  

  for (i = 0; i < height; i++)

  {

    for (j = 0; j < width; j++)

    {

      // 手册上有这句话: The address counter is not automatically updated when read data from the internal GRAM

      // 也就是说读数据的时候光标不能自己移动

      ILI9325_SetPos(x + j, y + i);

      ILI9325_CMD = ILI9325_CMD_MEMORY_READ;

      ILI9325_DATA; // dummy read

      *p++ = ILI9325_DATA;

    }

  }

}

 

/* 初始化显示屏 */

void ILI9325_Init(void)

{

  uint16_t id;

  FSMC_NORSRAM_TimingTypeDef timing = {0};

  GPIO_InitTypeDef gpio;

  

  __HAL_RCC_FSMC_CLK_ENABLE();

  __HAL_RCC_GPIOD_CLK_ENABLE();

  __HAL_RCC_GPIOE_CLK_ENABLE();

  

  // PD12: RST

  RST_ON;

  gpio.Mode = GPIO_MODE_OUTPUT_PP;

  gpio.Pin = GPIO_PIN_12;

  gpio.Pull = GPIO_NOPULL;

  gpio.Speed = GPIO_SPEED_FREQ_HIGH;

  HAL_GPIO_Init(GPIOD, &gpio);

  

  // PD0~1: FSMC_D2~3, PD4: FSMC_NOE, PD5: FSMC_NWE, PD7: FSMC_NE1, PD8~11: FSMC_D13~16, PD14~15: FSMC_D0~1

  // FSMC_NOE=>RD, FSMC_NWE=>WR, FSMC_D16=>RS, FSMC_NE1=>CS

  gpio.Alternate = GPIO_AF12_FSMC;

  gpio.Mode = GPIO_MODE_AF_PP;

  gpio.Pin = GPIO_PIN_0 | GPIO_PIN_1 | GPIO_PIN_4 | GPIO_PIN_5 | GPIO_PIN_7 | GPIO_PIN_8 | GPIO_PIN_9 | GPIO_PIN_10 | GPIO_PIN_11 | GPIO_PIN_14 | GPIO_PIN_15;

  gpio.Pull = GPIO_NOPULL;

  gpio.Speed = GPIO_SPEED_FREQ_HIGH;

  HAL_GPIO_Init(GPIOD, &gpio);

  

  // PE7~15: FSMC_D4~12

  gpio.Pin = GPIO_PIN_7 | GPIO_PIN_8 | GPIO_PIN_9 | GPIO_PIN_10 | GPIO_PIN_11 | GPIO_PIN_12 | GPIO_PIN_13 | GPIO_PIN_14 | GPIO_PIN_15;

  HAL_GPIO_Init(GPIOE, &gpio);

  

  // FSMC一共有6种模式：模式1~2和模式A~D

  // 彩屏使用的是模式2(即NOR Flash模式)而非模式B，这是因为配置FSMC时并没有使能扩展模式

  hnor.Extended = FSMC_Bank1E;

  hnor.Instance = FSMC_Bank1;

  hnor.Init.MemoryDataWidth = FSMC_NORSRAM_MEM_BUS_WIDTH_16;

  hnor.Init.MemoryType = FSMC_MEMORY_TYPE_NOR;

  hnor.Init.NSBank = FSMC_NORSRAM_BANK1;

  hnor.Init.WriteOperation = FSMC_WRITE_OPERATION_ENABLE;

  timing.AddressHoldTime = 1;

  timing.AddressSetupTime = 0;

  timing.CLKDivision = 2;

  timing.DataLatency = 2;

  timing.DataSetupTime = 7;

  HAL_NOR_Init(&hnor, &timing, NULL);

  

  HAL_Delay(1);

  RST_OFF;

  HAL_Delay(1);

  

  ILI9325_CMD = 0;

  id = ILI9325_DATA;

  printf("LCD ID: 0x%04x\n", id);

  

  // Set SRAM internal timing

  ILI9325_CMD = 0xe5;

  ILI9325_DATA = 0x78f0;

  // Set Driver Output Control

  ILI9325_CMD = 0x01;

  ILI9325_DATA = 0x0100;

  // Set 1 line inversion

  ILI9325_CMD = 0x02;

  ILI9325_DATA = 0x0700;

  // Set GRAM write direction and BGR=1

  ILI9325_CMD = 0x03;

  ILI9325_DATA = 0x1030; // 设置扫描方向

  // Resize register

  ILI9325_CMD = 0x04;

  ILI9325_DATA = 0x0000;

  // Set the back porch and front porch

  ILI9325_CMD = 0x08;

  ILI9325_DATA = 0x0207;

  // Set non-display area refresh cycle ISC[3:0]

  ILI9325_CMD = 0x09;

  ILI9325_DATA = 0x0000;

  // FMARK function

  ILI9325_CMD = 0x0a;

  ILI9325_DATA = 0x0000;

  // RGB interface setting

  ILI9325_CMD = 0x0c;

  ILI9325_DATA = 0x0000;

  // Frame marker Position

  ILI9325_CMD = 0x0d;

  ILI9325_DATA = 0x0000;

  // RGB interface polarity

  ILI9325_CMD = 0x0f;

  ILI9325_DATA = 0x0000;

 

  // Power On sequence

  // SAP, BT[3:0], AP, DSTB, SLP, STB

  ILI9325_CMD = 0x10;

  ILI9325_DATA = 0x0000;

  // DC1[2:0], DC0[2:0], VC[2:0]

  ILI9325_CMD = 0x11;

  ILI9325_DATA = 0x0007;

  // VREG1OUT voltage

  ILI9325_CMD = 0x12;

  ILI9325_DATA = 0x0000;

  // VDV[4:0] for VCOM amplitude

  ILI9325_CMD = 0x13;

  ILI9325_DATA = 0x0000;

  ILI9325_CMD = 0x07;

  ILI9325_DATA = 0x0001;

  HAL_Delay(20);

 

  // Dis-charge capacitor power voltage

  // SAP, BT[3:0], AP, DSTB, SLP, STB

  // Set DC1[2:0], DC0[2:0], VC[2:0]

  ILI9325_CMD = 0x10;

  ILI9325_DATA = 0x1090;

  ILI9325_CMD = 0x11;

  ILI9325_DATA = 0x0227;

  ILI9325_CMD = 0x12;

  ILI9325_DATA = 0x001f;

  // VDV[4:0] for VCOM amplitude

  ILI9325_CMD = 0x13;

  ILI9325_DATA = 0x1500;

  // 04 VCM[5:0] for VCOMH

  ILI9325_CMD = 0x29;

  ILI9325_DATA = 0x0027;

  // Set Frame Rate

  ILI9325_CMD = 0x2b;

  ILI9325_DATA = 0x000d;

 

  // Adjust the Gamma Curve

  ILI9325_CMD = 0x30;

  ILI9325_DATA = 0x0000;

  ILI9325_CMD = 0x31;

  ILI9325_DATA = 0x0603;

  ILI9325_CMD = 0x32;

  ILI9325_DATA = 0x0206;

  ILI9325_CMD = 0x35;

  ILI9325_DATA = 0x0206;

  ILI9325_CMD = 0x36;

  ILI9325_DATA = 0x0004;

  ILI9325_CMD = 0x37;

  ILI9325_DATA = 0x0105;

  ILI9325_CMD = 0x38;

  ILI9325_DATA = 0x0401;

  ILI9325_CMD = 0x39;

  ILI9325_DATA = 0x0707;

  ILI9325_CMD = 0x3c;

  ILI9325_DATA = 0x0602;

  ILI9325_CMD = 0x3d;

  ILI9325_DATA = 0x0004;

 

  // Gate Scan Line

  ILI9325_CMD = 0x60;

  ILI9325_DATA = 0xa700;

  // NDL, VLE, REV

  ILI9325_CMD = 0x61;

  ILI9325_DATA = 0x0001;

  // Set scrolling line

  ILI9325_CMD = 0x6a;

  ILI9325_DATA = 0x0000;

 

  // Partial Display Control

  ILI9325_CMD = 0x80;

  ILI9325_DATA = 0x0000;

  ILI9325_CMD = 0x81;

  ILI9325_DATA = 0x0000;

  ILI9325_CMD = 0x82;

  ILI9325_DATA = 0x0000;

  ILI9325_CMD = 0x83;

  ILI9325_DATA = 0x0000;

  ILI9325_CMD = 0x84;

  ILI9325_DATA = 0x0000;

  ILI9325_CMD = 0x85;

  ILI9325_DATA = 0x0000;

  

  // Panel Control

  ILI9325_CMD = 0x90;

  ILI9325_DATA = 0x0010;

  ILI9325_CMD = 0x92;

  ILI9325_DATA = 0x0600;

  

  // 262K color and display ON

  ILI9325_CMD = 0x07;

  ILI9325_DATA = 0x0133;

}

 

/* 绘制像素点 */

void ILI9325_SetPixel(uint16_t x, uint16_t y, uint16_t color)

{

  ILI9325_SetRegion(x, y, x, y);

  ILI9325_CMD = ILI9325_CMD_MEMORY_WRITE;

  ILI9325_DATA = color;

}

 

/* 设置绘图位置 */

void ILI9325_SetPos(uint16_t x, uint16_t y)

{

  ILI9325_CMD = ILI9325_CMD_HORIZONTAL_GRAM_ADDRESS_SET;

  ILI9325_DATA = x;

  ILI9325_CMD = ILI9325_CMD_VERTICAL_GRAM_ADDRESS_SET;

  ILI9325_DATA = y;

}

 

/* 设置显示区域 */

void ILI9325_SetRegion(uint16_t x0, uint16_t y0, uint16_t x1, uint16_t y1)

{

  ILI9325_CMD = ILI9325_CMD_HORIZONTAL_ADDRESS_START_POSITION;

  ILI9325_DATA = x0;

  ILI9325_CMD = ILI9325_CMD_VERTICAL_ADDRESS_START_POSITION;

  ILI9325_DATA = y0;

  

  ILI9325_CMD = ILI9325_CMD_HORIZONTAL_ADDRESS_END_POSITION;

  ILI9325_DATA = x1;

  ILI9325_CMD = ILI9325_CMD_VERTICAL_ADDRESS_END_POSITION;

  ILI9325_DATA = y1;

  

  ILI9325_SetPos(x0, y0);

}

使用特权

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9楼
4y1b3|  楼主 | 2023-5-26 22:21 | 只看该作者
ILI9325.h：
复制
#ifndef _ILI9325_H

#define _ILI9325_H

 

#define ILI9325_CX 240

#define ILI9325_CY 320

 

#define ILI9325_COLOR_BLACK 0x0000

#define ILI9325_COLOR_BLUE 0x001f

#define ILI9325_COLOR_GREEN 0x07e0

#define ILI9325_COLOR_RED 0xf800

#define ILI9325_COLOR_WHITE 0xffff

 

#define ILI9325_CMD (*(volatile uint16_t *)0x60000000)

#define ILI9325_DATA (*(volatile uint16_t *)0x60020000)

 

#define ILI9325_CMD_HORIZONTAL_GRAM_ADDRESS_SET 0x20

#define ILI9325_CMD_VERTICAL_GRAM_ADDRESS_SET 0x21

#define ILI9325_CMD_MEMORY_WRITE 0x22

#define ILI9325_CMD_MEMORY_READ 0x22

#define ILI9325_CMD_HORIZONTAL_ADDRESS_START_POSITION 0x50

#define ILI9325_CMD_HORIZONTAL_ADDRESS_END_POSITION 0x51

#define ILI9325_CMD_VERTICAL_ADDRESS_START_POSITION 0x52

#define ILI9325_CMD_VERTICAL_ADDRESS_END_POSITION 0x53

 

#define ILI9325_RGB888_TO_565(color) ((((color) >> 8) & 0xf800) | (((color) >> 5) & 0x7e0) | (((color) >> 3) & 0x1f))

 

void ILI9325_Clear(uint16_t color);

void ILI9325_DrawImage(const void *image, uint16_t x, uint16_t y, uint16_t width, uint16_t height);

void ILI9325_GetPixelsInRect(void *pixels, uint16_t x, uint16_t y, uint16_t width, uint16_t height);

void ILI9325_Init(void);

void ILI9325_SetPixel(uint16_t x, uint16_t y, uint16_t color);

void ILI9325_SetPos(uint16_t x, uint16_t y);

void ILI9325_SetRegion(uint16_t x0, uint16_t y0, uint16_t x1, uint16_t y1);

 

#endif

使用特权

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10楼
4y1b3|  楼主 | 2023-5-26 22:22 | 只看该作者
XPT2046.c：
复制
#include <stdio.h>

#include <stm32f4xx.h>

#include "XPT2046.h"

 

#define SCREEN_WIDTH 240

#define SCREEN_HEIGHT 320

#define TOUCH_LEFT 385

#define TOUCH_RIGHT 3439

#define TOUCH_TOP 575

#define TOUCH_BOTTOM 3586

 

#define CS_0 HAL_GPIO_WritePin(GPIOA, GPIO_PIN_4, GPIO_PIN_RESET)

#define CS_1 HAL_GPIO_WritePin(GPIOA, GPIO_PIN_4, GPIO_PIN_SET)

 

SPI_HandleTypeDef hspi1;

 

int XPT2046_GetITStatus(void)

{

  return HAL_GPIO_ReadPin(GPIOC, GPIO_PIN_4) == GPIO_PIN_RESET;

}

 

void XPT2046_Init(void)

{

  GPIO_InitTypeDef gpio;

  

  __HAL_RCC_GPIOA_CLK_ENABLE();

  __HAL_RCC_GPIOC_CLK_ENABLE();

  __HAL_RCC_SPI1_CLK_ENABLE();

  

  CS_1;

  gpio.Mode = GPIO_MODE_OUTPUT_PP;

  gpio.Pin = GPIO_PIN_4;

  gpio.Pull = GPIO_NOPULL;

  gpio.Speed = GPIO_SPEED_FREQ_HIGH;

  HAL_GPIO_Init(GPIOA, &gpio);

  

  gpio.Alternate = GPIO_AF5_SPI2;

  gpio.Mode = GPIO_MODE_AF_PP;

  gpio.Pin = GPIO_PIN_5 | GPIO_PIN_6 | GPIO_PIN_7;

  gpio.Pull = GPIO_NOPULL;

  gpio.Speed = GPIO_SPEED_FREQ_HIGH;

  HAL_GPIO_Init(GPIOA, &gpio);

  

  gpio.Mode = GPIO_MODE_INPUT;

  gpio.Pin = GPIO_PIN_4;

  gpio.Pull = GPIO_PULLUP;

  HAL_GPIO_Init(GPIOC, &gpio);

  

  hspi1.Instance = SPI1;

  hspi1.Init.BaudRatePrescaler = SPI_BAUDRATEPRESCALER_256;

  hspi1.Init.Mode = SPI_MODE_MASTER;

  hspi1.Init.NSS = SPI_NSS_SOFT;

  HAL_SPI_Init(&hspi1);

}

 

uint16_t XPT2046_Read(uint8_t cmd)

{

  uint8_t data[3] = {cmd};

  

  CS_0;

  HAL_SPI_TransmitReceive(&hspi1, data, data, sizeof(data), HAL_MAX_DELAY);

  CS_1;

  return ((data[1] << 5) | (data[2] >> 3)) & 0xfff;

}

 

void XPT2046_ReadPosition(int *x, int *y)

{

  float k, b;

  int i;

  uint32_t value_x = 0, value_y = 0;

  

  for (i = 0; i < 50; i++)

  {

    value_x += XPT2046_Read(XPT2046_READX);

    value_y += XPT2046_Read(XPT2046_READY);

  }

  value_x /= i;

  value_y /= i;

  printf("value_x=%u, value_y=%u\n", value_x, value_y);

  

  k = (float)SCREEN_WIDTH / (TOUCH_RIGHT - TOUCH_LEFT);

  b = -k * TOUCH_LEFT;

  *x = k * value_x + b;

  if (*x < 0)

    *x = 0;

  else if (*x > SCREEN_WIDTH - 1)

    *x = SCREEN_WIDTH - 1;

  

  k = (float)SCREEN_HEIGHT / (TOUCH_BOTTOM - TOUCH_TOP);

  b = -k * TOUCH_TOP;

  *y = k * value_y + b;

  if (*y < 0)

    *y = 0;

  else if (*y > SCREEN_HEIGHT - 1)

    *y = SCREEN_HEIGHT - 1;

  *y = (SCREEN_HEIGHT - 1) - *y;

}

使用特权

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11楼
4y1b3|  楼主 | 2023-5-26 22:22 | 只看该作者
XPT2046.h：
复制
#ifndef _XPT2046_H

#define _XPT2046_H

 

#define XPT2046_READX 0x90

#define XPT2046_READY 0xd0

 

int XPT2046_GetITStatus(void);

void XPT2046_Init(void);

uint16_t XPT2046_Read(uint8_t cmd);

void XPT2046_ReadPosition(int *x, int *y);

 

#endif

使用特权

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12楼
4y1b3|  楼主 | 2023-5-26 22:26 | 只看该作者
【程序运行结果】
复制
STM32F407VE FSMC ILI9325

SystemCoreClock=168000000

LCD ID: 0x9325

Display error! err/count=101/1240

value_x=762, value_y=3218

(29,39)

value_x=766, value_y=3219

(29,39)

value_x=751, value_y=3224

(28,38)

value_x=764, value_y=3222

(29,38)

value_x=757, value_y=3224

(29,38)

value_x=760, value_y=3225

(29,38)

value_x=759, value_y=3225

(29,38)

value_x=750, value_y=3223

(28,38)

value_x=756, value_y=3222

(29,38)

value_x=754, value_y=3221

(28,38)

value_x=835, value_y=3171

(35,44)

value_x=1650, value_y=1172

(99,256)

value_x=1145, value_y=1545

(59,216)

value_x=1168, value_y=1548

(61,216)

value_x=1247, value_y=1585

(67,212)

value_x=1339, value_y=1620

(74,208)

value_x=1407, value_y=1643

(80,206)

value_x=1474, value_y=1668

(85,203)

value_x=1533, value_y=1712

(90,199)

value_x=1581, value_y=1740

(93,196)

value_x=1611, value_y=1769

(96,193)

value_x=1653, value_y=1785

(99,191)

value_x=1693, value_y=1816

(102,188)

value_x=1714, value_y=1835

(104,186)

value_x=1786, value_y=1882

(110,181)

value_x=1847, value_y=1915

(114,177)

value_x=1865, value_y=1937

(116,175)

value_x=1919, value_y=1971

(120,171)

value_x=1946, value_y=1994

(122,169)

value_x=1942, value_y=2005

(122,168)

value_x=1967, value_y=2023

(124,166)

value_x=2009, value_y=2044

(127,163)

value_x=2013, value_y=2053

(127,162)

value_x=2009, value_y=2055

(127,162)

value_x=1998, value_y=2053

(126,162)

value_x=2013, value_y=2057

(127,162)

value_x=2017, value_y=2062

(128,161)

value_x=2017, value_y=2069

(128,161)

value_x=2056, value_y=2019

(131,166)

value_x=2102, value_y=2120

(134,155)

value_x=2095, value_y=2138

(134,153)

value_x=2163, value_y=2183

(139,149)

value_x=2129, value_y=2208

(137,146)

value_x=2137, value_y=2221

(137,145)

value_x=2135, value_y=2243

(137,142)

value_x=2171, value_y=2269

(140,139)

value_x=2180, value_y=2278

(141,139)

value_x=2197, value_y=2283

(142,138)

value_x=2181, value_y=2288

(141,137)

value_x=2188, value_y=2292

(141,137)

value_x=2194, value_y=2304

(142,136)

value_x=2192, value_y=2307

(142,135)

value_x=2189, value_y=2308

(141,135)

value_x=2197, value_y=2310

(142,135)

value_x=2187, value_y=2314

(141,135)

value_x=2212, value_y=2319

(143,134)

value_x=2223, value_y=2328

(144,133)

value_x=2249, value_y=2351

(146,131)

value_x=2250, value_y=2362

(146,130)

value_x=2252, value_y=2380

(146,128)

value_x=2253, value_y=2408

(146,125)

value_x=2243, value_y=2424

(146,123)

value_x=2265, value_y=2440

(147,121)

value_x=2260, value_y=2452

(147,120)

value_x=2279, value_y=2455

(148,120)

value_x=2276, value_y=2464

(148,119)

value_x=2287, value_y=2468

(149,118)

value_x=2296, value_y=2486

(150,116)

value_x=2324, value_y=2504

(152,114)

value_x=2337, value_y=2519

(153,113)

value_x=2345, value_y=2522

(154,113)

value_x=2335, value_y=2530

(153,112)

value_x=2330, value_y=2530

(152,112)

value_x=2348, value_y=2538

(154,111)

value_x=2347, value_y=2543

(154,110)

value_x=2673, value_y=1826

(179,187)

value_x=2426, value_y=2584

(160,106)

value_x=2375, value_y=2623

(156,102)

value_x=2364, value_y=2650

(155,99)

value_x=2408, value_y=2685

(158,95)

value_x=2428, value_y=2700

(160,94)

value_x=2424, value_y=2708

(160,93)

value_x=2411, value_y=2718

(159,92)

value_x=2509, value_y=2328

(166,133)

value_x=2740, value_y=1739

(185,196)

value_x=3835, value_y=24

(239,319)

value_x=2498, value_y=2752

(166,88)

value_x=2452, value_y=2774

(162,86)

value_x=2449, value_y=2797

(162,83)

value_x=2441, value_y=2806

(161,82)

value_x=3617, value_y=378

(239,319)

value_x=2509, value_y=2848

(166,78)

value_x=2507, value_y=2850

(166,78)

value_x=2509, value_y=2840

(166,79)

value_x=2504, value_y=2852

(166,78)

value_x=3156, value_y=2087

(217,159)

value_x=2969, value_y=3197

(203,41)

value_x=2990, value_y=3204

(204,40)

value_x=2979, value_y=3205

(203,40)

value_x=3050, value_y=3251

(209,35)

value_x=3053, value_y=3252

(209,35)

value_x=3052, value_y=3254

(209,35)

value_x=3183, value_y=2535

(219,111)

value_x=3136, value_y=3315

(216,28)

value_x=3134, value_y=3327

(216,27)

value_x=3571, value_y=1424

(239,229)

value_x=3183, value_y=3371

(219,22)

value_x=3208, value_y=3376

(221,22)

value_x=3216, value_y=3381

(222,21)

value_x=3196, value_y=3387

(220,21)

value_x=3217, value_y=3388

(222,21)

value_x=3214, value_y=3392

(222,20)

value_x=3210, value_y=3395

(222,20)

value_x=3203, value_y=3399

(221,19)

value_x=3205, value_y=3402

(221,19)

value_x=3211, value_y=3417

(222,17)

value_x=3273, value_y=3444

(226,15)

value_x=3279, value_y=3463

(227,13)

value_x=3306, value_y=3489

(229,10)

value_x=3312, value_y=3521

(230,6)

value_x=3326, value_y=3529

(231,6)

value_x=3322, value_y=3534

(230,5)

value_x=3325, value_y=3533

(231,5)

value_x=3320, value_y=3539

(230,4)

value_x=3320, value_y=3544

(230,4)

value_x=3327, value_y=3554

(231,3)

value_x=3338, value_y=3579

(232,0)

value_x=3381, value_y=3608

(235,0)

value_x=3391, value_y=3613

(236,0)

value_x=3398, value_y=3617

(236,0)

value_x=3403, value_y=3621

(237,0)

value_x=3417, value_y=3631

(238,0)

value_x=3441, value_y=3651

(239,0)

value_x=3458, value_y=3669

(239,0)

value_x=3466, value_y=3675

(239,0)

value_x=3471, value_y=3683

(239,0)

value_x=3479, value_y=3686

(239,0)

value_x=3486, value_y=3690

(239,0)

value_x=3485, value_y=3690

(239,0)

value_x=3479, value_y=3694

(239,0)

value_x=3486, value_y=3696

(239,0)

value_x=3490, value_y=3700

(239,0)

value_x=3492, value_y=3710

(239,0)

value_x=3498, value_y=3714

(239,0)

value_x=3504, value_y=3349

(239,25)

value_x=3565, value_y=643

(239,312)

value_x=3566, value_y=644

(239,312)

value_x=3703, value_y=386

(239,319)

value_x=3478, value_y=567

(239,319)

value_x=3423, value_y=568

(238,319)

value_x=3391, value_y=577

(236,319)

value_x=3399, value_y=578

(236,319)

value_x=3399, value_y=578

(236,319)

value_x=3395, value_y=579

(236,319)

value_x=3401, value_y=577

(237,319)

value_x=3403, value_y=579

(237,319)

value_x=3394, value_y=575

(236,319)

value_x=3367, value_y=568

(234,319)

value_x=3593, value_y=3790

(239,0)

value_x=3756, value_y=303

(239,319)

value_x=3256, value_y=2378

(225,128)

value_x=3381, value_y=3370

(235,22)

value_x=3366, value_y=3374

(234,22)

value_x=3372, value_y=3375

(234,22)

value_x=3372, value_y=3373

(234,22)

value_x=3386, value_y=3376

(235,22)

value_x=3257, value_y=2903

(225,72)

value_x=3871, value_y=48

(239,319)

value_x=3578, value_y=3702

(239,0)

value_x=3558, value_y=3701

(239,0)

value_x=3561, value_y=3686

(239,0)

value_x=3558, value_y=3690

(239,0)

value_x=3568, value_y=3699

(239,0)

value_x=3565, value_y=3695

(239,0)

value_x=3588, value_y=3704

(239,0)

value_x=3594, value_y=3712

(239,0)

value_x=3592, value_y=3705

(239,0)

value_x=3598, value_y=3709

(239,0)

value_x=3598, value_y=3714

(239,0)

value_x=3593, value_y=3720

(239,0)

value_x=3602, value_y=3720

(239,0)

value_x=3587, value_y=3723

(239,0)

value_x=3595, value_y=3725

(239,0)

value_x=3600, value_y=3724

(239,0)

value_x=3601, value_y=3726

(239,0)

value_x=3601, value_y=3726

(239,0)

value_x=3595, value_y=3728

(239,0)

value_x=3601, value_y=3728

(239,0)

value_x=3598, value_y=3728

(239,0)

value_x=3594, value_y=3728

(239,0)

value_x=3598, value_y=3729

(239,0)

value_x=3597, value_y=3728

(239,0)

value_x=3597, value_y=3727

(239,0)

value_x=3597, value_y=3727

(239,0)

value_x=3590, value_y=3726

(239,0)

value_x=3589, value_y=3726

(239,0)

value_x=3587, value_y=3724

(239,0)

value_x=3593, value_y=3724

(239,0)

value_x=3580, value_y=3724

(239,0)

value_x=3595, value_y=3724

(239,0)

value_x=3598, value_y=3724

(239,0)

value_x=3596, value_y=3722

(239,0)

value_x=3590, value_y=3724

(239,0)

value_x=3587, value_y=3724

(239,0)

value_x=3581, value_y=3723

(239,0)

value_x=3590, value_y=3724

(239,0)

value_x=3574, value_y=3723

(239,0)

value_x=3573, value_y=3722

(239,0)

value_x=3571, value_y=3731

(239,0)

value_x=3566, value_y=3737

(239,0)

value_x=3572, value_y=3738

(239,0)

value_x=3580, value_y=3741

(239,0)

value_x=3578, value_y=3746

(239,0)

value_x=3583, value_y=3749

(239,0)

value_x=3575, value_y=3751

(239,0)

value_x=3581, value_y=3754

(239,0)

value_x=3573, value_y=3756

(239,0)

value_x=3574, value_y=3755

(239,0)

value_x=3584, value_y=3753

(239,0)

value_x=3583, value_y=3753

(239,0)

value_x=3582, value_y=3751

(239,0)

value_x=3587, value_y=3754

(239,0)

value_x=3653, value_y=3742

(239,0)

value_x=3667, value_y=3738

(239,0)

value_x=3647, value_y=3737

(239,0)

value_x=3658, value_y=3737

(239,0)

value_x=3656, value_y=3734

(239,0)

value_x=3659, value_y=3732

(239,0)

value_x=3648, value_y=3730

(239,0)

value_x=3647, value_y=3727

(239,0)

value_x=3650, value_y=3726

(239,0)

value_x=3649, value_y=3724

(239,0)

value_x=3649, value_y=3724

(239,0)

value_x=3650, value_y=3723

(239,0)

value_x=3650, value_y=3723

(239,0)

value_x=3645, value_y=3723

(239,0)

value_x=3645, value_y=3724

(239,0)

value_x=3649, value_y=3722

(239,0)

value_x=3655, value_y=3724

(239,0)

value_x=3638, value_y=3723

(239,0)

value_x=3646, value_y=3723

(239,0)

value_x=3647, value_y=3724

(239,0)

value_x=3641, value_y=3725

(239,0)

value_x=3655, value_y=3728

(239,0)

value_x=3647, value_y=3729

(239,0)

value_x=3649, value_y=3729

(239,0)

value_x=3655, value_y=3732

(239,0)

value_x=3654, value_y=3729

(239,0)

value_x=3647, value_y=3730

(239,0)

value_x=3652, value_y=3730

(239,0)

value_x=3640, value_y=3729

(239,0)

value_x=3642, value_y=3728

(239,0)

value_x=3649, value_y=3728

(239,0)

value_x=3647, value_y=3727

(239,0)

value_x=3642, value_y=3726

(239,0)

value_x=3631, value_y=3725

(239,0)

value_x=3647, value_y=3723

(239,0)

value_x=3644, value_y=3723

(239,0)

value_x=3637, value_y=3721

(239,0)

value_x=3625, value_y=3442

(239,15)

value_x=3654, value_y=461

(239,319)

value_x=3650, value_y=457

(239,319)

value_x=3659, value_y=458

(239,319)

value_x=3650, value_y=457

(239,319)

value_x=3642, value_y=456

(239,319)

value_x=3658, value_y=458

(239,319)

value_x=3656, value_y=460

(239,319)

value_x=3663, value_y=466

(239,319)

value_x=3664, value_y=471

(239,319)

value_x=3671, value_y=469

(239,319)

value_x=3671, value_y=470

(239,319)

value_x=3677, value_y=465

(239,319)

value_x=3688, value_y=464

(239,319)

value_x=3670, value_y=460

(239,319)

value_x=3685, value_y=461

(239,319)

value_x=3689, value_y=463

(239,319)

value_x=3687, value_y=464

(239,319)

value_x=3697, value_y=465

(239,319)

value_x=3679, value_y=463

(239,319)

value_x=3683, value_y=465

(239,319)

value_x=3685, value_y=464

(239,319)

value_x=3684, value_y=465

(239,319)

value_x=3684, value_y=467

(239,319)

value_x=3677, value_y=463

(239,319)

value_x=3672, value_y=463

(239,319)

value_x=3682, value_y=461

(239,319)

value_x=3670, value_y=458

(239,319)

value_x=3682, value_y=458

(239,319)

value_x=3679, value_y=457

(239,319)

value_x=3685, value_y=455

(239,319)

value_x=3691, value_y=457

(239,319)

value_x=3673, value_y=458

(239,319)

value_x=3674, value_y=458

(239,319)

value_x=3681, value_y=460

(239,319)

value_x=3678, value_y=461

(239,319)

value_x=3692, value_y=461

(239,319)

value_x=3684, value_y=459

(239,319)

value_x=3690, value_y=460

(239,319)

value_x=3689, value_y=461

(239,319)

value_x=3678, value_y=461

(239,319)

value_x=3682, value_y=461

(239,319)

value_x=3684, value_y=461

(239,319)

value_x=3684, value_y=463

(239,319)

value_x=3692, value_y=463

(239,319)

value_x=3688, value_y=461

(239,319)

value_x=3686, value_y=460

(239,319)

value_x=3700, value_y=457

(239,319)

value_x=3681, value_y=457

(239,319)

value_x=3688, value_y=456

(239,319)

value_x=3702, value_y=455

(239,319)

value_x=3697, value_y=454

(239,319)

value_x=3696, value_y=454

(239,319)

value_x=3702, value_y=453

(239,319)

value_x=3697, value_y=453

(239,319)

value_x=3702, value_y=452

(239,319)

value_x=3698, value_y=450

(239,319)

value_x=3692, value_y=451

(239,319)

value_x=3696, value_y=452

(239,319)

value_x=3698, value_y=453

(239,319)

value_x=3703, value_y=453

(239,319)

value_x=3680, value_y=453

(239,319)

value_x=3694, value_y=453

(239,319)

value_x=3697, value_y=452

(239,319)

value_x=3697, value_y=452

(239,319)

value_x=3697, value_y=452

(239,319)

value_x=3700, value_y=450

(239,319)

value_x=3692, value_y=451

(239,319)

value_x=3696, value_y=449

(239,319)

value_x=3691, value_y=449

(239,319)

value_x=3687, value_y=449

(239,319)

value_x=3691, value_y=448

(239,319)

value_x=3696, value_y=447

(239,319)

value_x=3696, value_y=446

(239,319)

value_x=3700, value_y=445

(239,319)

value_x=3694, value_y=445

(239,319)

value_x=3691, value_y=444

(239,319)

value_x=3687, value_y=444

(239,319)

value_x=3692, value_y=443

(239,319)

value_x=3696, value_y=443

(239,319)

value_x=3697, value_y=445

(239,319)

value_x=3697, value_y=444

(239,319)

value_x=3697, value_y=444

(239,319)

value_x=3702, value_y=444

(239,319)

value_x=3693, value_y=445

(239,319)

value_x=3693, value_y=445

(239,319)

value_x=3708, value_y=446

(239,319)

value_x=3712, value_y=445

(239,319)

value_x=3702, value_y=445

(239,319)

value_x=3695, value_y=445

(239,319)

value_x=3704, value_y=445

(239,319)

value_x=3705, value_y=444

(239,319)

value_x=3691, value_y=445

(239,319)

value_x=3698, value_y=446

(239,319)

value_x=3693, value_y=443

(239,319)

value_x=3701, value_y=445

(239,319)

value_x=3692, value_y=446

(239,319)

value_x=3695, value_y=445

(239,319)

value_x=3708, value_y=444

(239,319)

value_x=3691, value_y=441

(239,319)

value_x=3685, value_y=441

(239,319)

value_x=3711, value_y=438

(239,319)

value_x=3702, value_y=435

(239,319)

value_x=3693, value_y=436

(239,319)

value_x=3700, value_y=439

(239,319)

value_x=3705, value_y=440

(239,319)

value_x=3698, value_y=445

(239,319)

value_x=3697, value_y=452

(239,319)

value_x=3678, value_y=464

(239,319)

value_x=3660, value_y=466

(239,319)

value_x=3669, value_y=463

(239,319)

value_x=3656, value_y=460

(239,319)

value_x=3638, value_y=458

(239,319)

value_x=3649, value_y=457

(239,319)

value_x=3641, value_y=458

(239,319)

value_x=3864, value_y=26

(239,319)

value_x=3588, value_y=501

(239,319)

value_x=3592, value_y=502

(239,319)

value_x=3632, value_y=446

(239,319)

value_x=3610, value_y=448

(239,319)

value_x=3635, value_y=451

(239,319)

value_x=3667, value_y=542

(239,319)

value_x=3680, value_y=535

(239,319)

value_x=3682, value_y=523

(239,319)

value_x=3687, value_y=519

(239,319)

value_x=3694, value_y=514

(239,319)

value_x=3677, value_y=512

(239,319)

value_x=3683, value_y=509

(239,319)

value_x=3690, value_y=506

(239,319)

value_x=3703, value_y=505

(239,319)

value_x=3701, value_y=504

(239,319)

value_x=3708, value_y=504

(239,319)

value_x=3698, value_y=503

(239,319)

value_x=3699, value_y=504

(239,319)

value_x=3697, value_y=501

(239,319)

value_x=3686, value_y=499

(239,319)

value_x=3682, value_y=498

(239,319)

value_x=3686, value_y=498

(239,319)

value_x=3678, value_y=499

(239,319)

value_x=3678, value_y=500

(239,319)

value_x=3679, value_y=503

(239,319)

value_x=3681, value_y=509

(239,319)

value_x=3676, value_y=508

(239,319)

value_x=3686, value_y=509

(239,319)

value_x=3675, value_y=505

(239,319)

value_x=3676, value_y=503

(239,319)

value_x=3676, value_y=498

(239,319)

value_x=3662, value_y=496

(239,319)

value_x=3672, value_y=497

(239,319)

value_x=3657, value_y=495

(239,319)

value_x=3665, value_y=499

(239,319)

value_x=3674, value_y=505

(239,319)

value_x=3667, value_y=510

(239,319)

value_x=3878, value_y=9

(239,319)

value_x=3709, value_y=273

(239,319)

value_x=2479, value_y=1867

(164,182)

value_x=2482, value_y=1882

(164,181)

value_x=2468, value_y=1890

(163,180)

value_x=2473, value_y=1895

(164,179)

value_x=2470, value_y=1895

(163,179)

value_x=2464, value_y=1894

(163,179)

value_x=2473, value_y=1892

(164,180)

value_x=2472, value_y=1888

(164,180)

value_x=2458, value_y=1883

(162,180)

value_x=2406, value_y=1860

(158,183)

value_x=2398, value_y=1856

(158,183)

value_x=2389, value_y=1856

(157,183)

value_x=2382, value_y=1852

(156,184)

value_x=2393, value_y=1852

(157,184)

value_x=2387, value_y=1850

(157,184)

value_x=2381, value_y=1853

(156,184)

value_x=2390, value_y=1852

(157,184)

value_x=2383, value_y=1852

(157,184)

value_x=2388, value_y=1853

(157,184)

value_x=2377, value_y=1851

(156,184)

value_x=2399, value_y=1853

(158,184)

value_x=2397, value_y=1855

(158,183)

value_x=2390, value_y=1856

(157,183)

value_x=2395, value_y=1858

(157,183)

value_x=2395, value_y=1860

(157,183)

value_x=2408, value_y=1865

(158,182)

value_x=3653, value_y=235

(239,319)

value_x=2380, value_y=1867

(156,182)

value_x=2384, value_y=1865

(157,182)

value_x=2373, value_y=1863

(156,183)

value_x=2369, value_y=1863

(155,183)

value_x=2369, value_y=1862

(155,183)

value_x=1430, value_y=1385

(82,233)

value_x=1439, value_y=1380

(82,234)

value_x=1468, value_y=1383

(85,234)

value_x=1485, value_y=1395

(86,232)

value_x=1501, value_y=1405

(87,231)

value_x=1599, value_y=1381

(95,234)

value_x=1630, value_y=1389

(97,233)

value_x=1687, value_y=1402

(102,232)

value_x=1755, value_y=1394

(107,232)

value_x=1844, value_y=1417

(114,230)

value_x=1954, value_y=1418

(123,230)

value_x=2052, value_y=1436

(131,228)

value_x=2147, value_y=1447

(138,227)

value_x=2224, value_y=1464

(144,225)

value_x=2297, value_y=1476

(150,224)

value_x=2368, value_y=1489

(155,222)

value_x=2451, value_y=1505

(162,221)

value_x=2527, value_y=1516

(168,219)

value_x=2617, value_y=1540

(175,217)

value_x=2700, value_y=1556

(181,215)

value_x=2770, value_y=1572

(187,214)

value_x=2829, value_y=1589

(192,212)

value_x=2869, value_y=1608

(195,210)

value_x=2909, value_y=1619

(198,209)

value_x=2959, value_y=1641

(202,206)

value_x=3005, value_y=1621

(205,208)

value_x=3098, value_y=1655

(213,205)

value_x=2776, value_y=673

(187,309)

value_x=1333, value_y=1754

(74,194)

value_x=1346, value_y=1779

(75,192)

value_x=1364, value_y=1782

(76,191)

value_x=1389, value_y=1797

(78,190)

value_x=1498, value_y=1804

(87,189)

value_x=1631, value_y=1844

(97,185)

value_x=1825, value_y=1890

(113,180)

value_x=2032, value_y=1937

(129,175)

value_x=2187, value_y=1991

(141,169)

value_x=2319, value_y=2024

(151,166)

value_x=2407, value_y=2065

(158,161)

value_x=2513, value_y=2090

(167,158)

value_x=2596, value_y=2127

(173,155)

value_x=2679, value_y=2163

(180,151)

value_x=3595, value_y=433

(239,319)

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