使用 OpenGL 函数时，make 文件出现链接器错误

问：

我在程序中使用 openGL 库时遇到了一些问题。首先，我确实正确地实现了所有相关的东西：

#define GL_SILENCE_DEPRECATION
#ifdef __APPLE__
#include <GLUT/glut.h>
#else
#include <GL/glut.h>
#endif

而且，在我的这个程序中，我的任务是绘制一堆矩形，我在编译时遇到了一些问题。这是我使用make文件进行编译时的错误消息：

  Undefined symbols for architecture arm64:
  "_glBegin", referenced from:
      drawRegionsRec(treeNode*) in mondrian-a92186.o
  "_glClear", referenced from:
      drawRegionsRec(treeNode*) in mondrian-a92186.o
      display() in mondrian-a92186.o
  "_glClearColor", referenced from:
      _main in mondrian-a92186.o
  "_glColor3f", referenced from:
      drawRegionsRec(treeNode*) in mondrian-a92186.o
  "_glEnd", referenced from:
      drawRegionsRec(treeNode*) in mondrian-a92186.o
  "_glFlush", referenced from:
      drawRegionsRec(treeNode*) in mondrian-a92186.o
      display() in mondrian-a92186.o
  "_glLineWidth", referenced from:
      drawRegionsRec(treeNode*) in mondrian-a92186.o
  "_glLoadIdentity", referenced from:
      display() in mondrian-a92186.o
  "_glMatrixMode", referenced from:
      display() in mondrian-a92186.o
  "_glScalef", referenced from:
      display() in mondrian-a92186.o
  "_glTranslatef", referenced from:
      display() in mondrian-a92186.o
  "_glVertex2i", referenced from:
      drawRegionsRec(treeNode*) in mondrian-a92186.o
  "_glutCreateWindow", referenced from:
      _main in mondrian-a92186.o
  "_glutDisplayFunc", referenced from:
      _main in mondrian-a92186.o
  "_glutInit", referenced from:
      _main in mondrian-a92186.o
  "_glutInitDisplayMode", referenced from:
      _main in mondrian-a92186.o
  "_glutInitWindowPosition", referenced from:
      _main in mondrian-a92186.o
  "_glutInitWindowSize", referenced from:
      _main in mondrian-a92186.o
  "_glutMainLoop", referenced from:
      _main in mondrian-a92186.o
ld: symbol(s) not found for architecture arm64
clang: error: linker command failed with exit code 1 (use -v to see invocation)
make: *** [mondrian] Error 1

从本质上讲，我调用的每个 OpenGL 函数都是无法识别的，然后我得到一个链接器错误。

我确保我的 makefile 也是正确的。

PLATFORM = $(shell uname)


## Compilation flags
##comment out one or the other 
##debugging 
CFLAGS = -g 
##release
#CFLAGS = -O3 -DNDEBUG
LDFLAGS=

CFLAGS+= -Wall

ifeq ($(PLATFORM),Darwin)
## Mac OS X
CFLAGS += -m64  -Wno-deprecated
INCLUDEPATH=-I/system/usr/local/include 
LDFLAGS+= -m64 -lc -framework AGL -framework OpenGL -framework GLUT -framework Foundation
else
## Linux
CFLAGS += -m64
INCLUDEPATH  = -I/usr/include/GL/ 
LIBPATH = -L/usr/lib64 -L/usr/X11R6/lib
LDFLAGS+=  -lGL -lglut -lrt -lGLU -lX11 -lm  -lXmu -lXext -lXi
endif


CC = g++ -O3 -Wall $(INCLUDEPATH)


PROGS = mondrian

default: $(PROGS)

mondrian: mondrian.o geom.o rtimer.o
    $(CC) -o $@ mondrian.o geom.o rtimer.o $(LDFLAGS)

mondrian.o: mondrian.cpp  geom.h rtimer.h
    $(CC) -c $(CFLAGS)   mondrian.cpp  -o $@

如何解决这个问题？