Configuring CGAL with MPFI results in a link error in test_MPFI.cpp, which prevents MPFI from being used successfully.

[tanyanhn]

Describe the bug
MPFI is an optional lib for CGAL for Algebraic Kernel. As a header-only lib, CGAL should be able to use MPFI to configure examples.
However, the configure file "CGAL-6.0.1/cmake/modules/CGAL_UseMPFI.cmake" give a wrong link order
in MPFI_TEST, induce a link error.

Environment

• OS: ubuntu 22.04
• Compiler: GCC 13.1.0

To Reproduce
Steps to reproduce the behavior:

1. cd /path/to/CGAL-6.0.1/examples/Algebraic_kernel_d/build
2. cmake -DWITH_MPFI=ON -DCMAKE_BUILD_TYPE=Release
   -DGMP_INCLUDE_DIR=$GMP_INCLUDE_DIR
   -DGMP_LIBRARIES=$GMP_LIBRARIES
   -DMPFR_INCLUDE_DIR=$MPFR_INCLUDE_DIR
   -DMPFR_LIBRARIES=$MPFR_LIBRARIES
   -DMPFI_INCLUDE_DIR=$MPFI_INCLUDE_DIR
   -DMPFI_LIBRARIES=$MPFI_LIBRARIES
   -DQT6_DIR=$QT6_DIR
   -DCGAL_DIR=$VCPKG_INSTALL_DIR/share/cgal
   ..
   ...
   -- MPFI libraries: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfi.a
   -- MPFI is incorrectly configured on this system
   -- Output of the failed MPFI test was:
   Change Dir: /root/github/install/cgal/CGAL-6.0.1/examples/Algebraic_kernel_d/build/CMakeFiles/CMakeTmp

Run Build Command(s):/usr/bin/gmake -f Makefile cmTC_64239/fast && /usr/bin/gmake -f CMakeFiles/cmTC_64239.dir/build.make CMakeFiles/cmTC_64239.dir/build
gmake[1]: Entering directory '/root/github/install/cgal/CGAL-6.0.1/examples/Algebraic_kernel_d/build/CMakeFiles/CMakeTmp'
Building CXX object CMakeFiles/cmTC_64239.dir/test_MPFI.cpp.o
/usr/bin/c++ -I/root/github/install/cgal/vcpkg_installed/x64-linux/include -o CMakeFiles/cmTC_64239.dir/test_MPFI.cpp.o -c /root/github/install/cgal/vcpkg_installed/x64-linux/share/cgal/test_MPFI.cpp
Linking CXX executable cmTC_64239
/usr/bin/cmake -E cmake_link_script CMakeFiles/cmTC_64239.dir/link.txt --verbose=1
/usr/bin/c++ CMakeFiles/cmTC_64239.dir/test_MPFI.cpp.o -o cmTC_64239 -L/root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a -Wl,-rpath,/root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfi.a /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libgmp.a /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a
/usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(mpfr-gmp.o): in function mpfr_allocate_func': mpfr-gmp.c:(.text.hot+0x2a): undefined reference to __gmp_get_memory_functions'
/usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(mpfr-gmp.o): in function mpfr_reallocate_func': mpfr-gmp.c:(.text.hot+0x83): undefined reference to __gmp_get_memory_functions'
/usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(mpfr-gmp.o): in function mpfr_free_func': mpfr-gmp.c:(.text.hot+0xee): undefined reference to __gmp_get_memory_functions'
/usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(set_z_2exp.o): in function mpfr_set_z_2exp': set_z_2exp.c:(.text+0x12a): undefined reference to __gmpn_lshift'
/usr/bin/ld: set_z_2exp.c:(.text+0x32c): undefined reference to __gmpn_lshift' /usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(add1.o): in function mpfr_add1':
add1.c:(.text.hot+0x1b2): undefined reference to __gmpn_rshift' /usr/bin/ld: add1.c:(.text.hot+0x203): undefined reference to __gmpn_add_n'
/usr/bin/ld: add1.c:(.text.hot+0x35d): undefined reference to __gmpn_add_n' /usr/bin/ld: add1.c:(.text.hot+0x42b): undefined reference to __gmpn_rshift'
/usr/bin/ld: add1.c:(.text.hot+0x8b6): undefined reference to __gmpn_rshift' /usr/bin/ld: add1.c:(.text.hot+0xa65): undefined reference to __gmpn_rshift'
/usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(div.o): in function mpfr_div': div.c:(.text.hot+0x2d7): undefined reference to __gmpn_divrem'
/usr/bin/ld: div.c:(.text.hot+0x62e): undefined reference to __gmpn_rshift' /usr/bin/ld: div.c:(.text.hot+0xa2d): undefined reference to __gmpn_mul'
/usr/bin/ld: div.c:(.text.hot+0xf4f): undefined reference to __gmpn_rshift' /usr/bin/ld: div.c:(.text.hot+0x157e): undefined reference to __gmpn_rshift'
/usr/bin/ld: div.c:(.text.hot+0x1602): undefined reference to __gmpn_mul' /usr/bin/ld: div.c:(.text.hot+0x166f): undefined reference to __gmpn_sub_n'
/usr/bin/ld: div.c:(.text.hot+0x1ad1): undefined reference to __gmpn_add_n' /usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(div_ui.o): in function mpfr_div_ui':
div_ui.c:(.text.hot+0x12c): undefined reference to __gmpn_divrem_1' /usr/bin/ld: div_ui.c:(.text.hot+0x34f): undefined reference to __gmpn_lshift'
/usr/bin/ld: div_ui.c:(.text.hot+0x3d2): undefined reference to __gmpn_divrem_1' /usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(round_prec.o): in function mpfr_round_raw':
round_prec.c:(.text+0x20d): undefined reference to __gmpn_copyd' /usr/bin/ld: round_prec.c:(.text+0x24d): undefined reference to __gmpn_copyi'
/usr/bin/ld: round_prec.c:(.text+0x4d7): undefined reference to __gmpn_copyi' /usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(round_prec.o): in function mpfr_round_raw_4':
round_prec.c:(.text+0x98b): undefined reference to __gmpn_copyi' /usr/bin/ld: round_prec.c:(.text+0xa26): undefined reference to __gmpn_copyd'
/usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(sub1.o): in function mpfr_sub1': sub1.c:(.text+0x194): undefined reference to __gmpn_rshift'
/usr/bin/ld: sub1.c:(.text+0x246): undefined reference to __gmpn_rshift' /usr/bin/ld: sub1.c:(.text+0x910): undefined reference to __gmpn_sub_n'
/usr/bin/ld: sub1.c:(.text+0xa3a): undefined reference to __gmpn_sub_n' /usr/bin/ld: sub1.c:(.text+0xad0): undefined reference to __gmpn_sub_n'
/usr/bin/ld: sub1.c:(.text+0xbdc): undefined reference to __gmpn_sub_n' /usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(sub1sp.o): in function mpfr_sub1sp':
sub1sp.c:(.text.hot+0x187): undefined reference to __gmpn_rshift' /usr/bin/ld: sub1sp.c:(.text.hot+0x25a): undefined reference to __gmpn_sub_n'
/usr/bin/ld: sub1sp.c:(.text.hot+0x55f): undefined reference to __gmpn_sub_n' /usr/bin/ld: sub1sp.c:(.text.hot+0x597): undefined reference to __gmpn_lshift'
/usr/bin/ld: sub1sp.c:(.text.hot+0xb0a): undefined reference to __gmpn_lshift' /usr/bin/ld: sub1sp.c:(.text.hot+0xb1c): undefined reference to __gmpn_sub_n'
/usr/bin/ld: sub1sp.c:(.text.hot+0xfe2): undefined reference to __gmpn_rshift' /usr/bin/ld: sub1sp.c:(.text.hot+0x1000): undefined reference to __gmpn_sub_n'
/usr/bin/ld: sub1sp.c:(.text.hot+0x19f7): undefined reference to __gmpn_lshift' /usr/bin/ld: sub1sp.c:(.text.hot+0x1ad5): undefined reference to __gmpn_lshift'
/usr/bin/ld: sub1sp.c:(.text.hot+0x1b2d): undefined reference to __gmpn_rshift' /usr/bin/ld: sub1sp.c:(.text.hot+0x1ec5): undefined reference to __gmpn_copyd'
/usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(add1sp.o): in function mpfr_add1sp': add1sp.c:(.text.hot+0x1e2): undefined reference to __gmpn_add_n'
/usr/bin/ld: add1sp.c:(.text.hot+0x86d): undefined reference to __gmpn_add_n' /usr/bin/ld: add1sp.c:(.text.hot+0x89d): undefined reference to __gmpn_rshift'
/usr/bin/ld: add1sp.c:(.text.hot+0x1342): undefined reference to __gmpn_rshift' /usr/bin/ld: add1sp.c:(.text.hot+0x1714): undefined reference to __gmpn_add_n'
/usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(init2.o): in function mpfr_init2': init2.c:(.text.hot+0x7): undefined reference to __gmp_bits_per_limb'
/usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(pool.o): in function mpfr_free_pool': pool.c:(.text+0x3b): undefined reference to __gmpz_clear'
/usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(pool.o): in function mpfr_mpz_init': pool.c:(.text.hot+0x4d): undefined reference to __gmpz_init'
/usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(pool.o): in function mpfr_mpz_init2': pool.c:(.text.hot+0xcd): undefined reference to __gmpz_init2'
/usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(pool.o): in function mpfr_mpz_clear': pool.c:(.text.hot+0x125): undefined reference to __gmpz_clear'
/usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(set_q.o): in function set_z': set_q.c:(.text+0x87): undefined reference to __gmpn_lshift'
/usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(min_prec.o): in function mpfr_min_prec': min_prec.c:(.text+0x1f): undefined reference to __gmpn_scan1'
/usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(mulders.o): in function mpfr_mulhigh_n.localalias': mulders.c:(.text+0x80): undefined reference to __gmpn_mul_n'
/usr/bin/ld: mulders.c:(.text+0xd6): undefined reference to __gmpn_add_n' /usr/bin/ld: mulders.c:(.text+0x10d): undefined reference to __gmpn_add_n'
/usr/bin/ld: mulders.c:(.text+0x1d7): undefined reference to __gmpn_addmul_1' /usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(mulders.o): in function mpfr_sqrhigh_n':
mulders.c:(.text+0x2c2): undefined reference to __gmpn_sqr' /usr/bin/ld: mulders.c:(.text+0x2ec): undefined reference to __gmpn_lshift'
/usr/bin/ld: mulders.c:(.text+0x307): undefined reference to __gmpn_add_n' /usr/bin/ld: mulders.c:(.text+0x3c7): undefined reference to __gmpn_addmul_1'
/usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(mulders.o): in function mpfr_divhigh_n.localalias': mulders.c:(.text+0x49b): undefined reference to __gmpn_divrem'
/usr/bin/ld: mulders.c:(.text+0x53e): undefined reference to __gmpn_sub_n' /usr/bin/ld: mulders.c:(.text+0x5bf): undefined reference to __gmpn_add_n'
/usr/bin/ld: mulders.c:(.text+0x661): undefined reference to __gmpn_sub_n' /usr/bin/ld: mulders.c:(.text+0x6b1): undefined reference to __gmpn_sub_n'
/usr/bin/ld: mulders.c:(.text+0x7bf): undefined reference to __gmpn_submul_1' /usr/bin/ld: mulders.c:(.text+0x81c): undefined reference to __gmpn_add_n'
/usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(mulders.o): in function mpfr_mulhigh_n.localalias': mulders.c:(.text+0x184): undefined reference to __gmpn_mul'
/usr/bin/ld: mulders.c:(.text+0x247): undefined reference to __gmpn_mul_n' /usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(mulders.o): in function mpfr_sqrhigh_n':
mulders.c:(.text+0x376): undefined reference to __gmpn_sqr' /usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(ubf.o): in function mpfr_ubf_mul_exact':
ubf.c:(.text+0x142): undefined reference to __gmpz_set_si' /usr/bin/ld: ubf.c:(.text+0x16e): undefined reference to __gmpz_set_si'
/usr/bin/ld: ubf.c:(.text+0x17c): undefined reference to __gmpz_add' /usr/bin/ld: ubf.c:(.text+0x19a): undefined reference to __gmpz_sub_ui'
/usr/bin/ld: ubf.c:(.text+0x1fa): undefined reference to __gmpn_mul' /usr/bin/ld: ubf.c:(.text+0x213): undefined reference to __gmpn_lshift'
/usr/bin/ld: ubf.c:(.text+0x238): undefined reference to __gmpz_set' /usr/bin/ld: ubf.c:(.text+0x250): undefined reference to __gmpz_set'
/usr/bin/ld: ubf.c:(.text+0x26d): undefined reference to __gmpn_mul' /usr/bin/ld: ubf.c:(.text+0x2e7): undefined reference to __gmpn_sqr'
/usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(ubf.o): in function mpfr_ubf_exp_less_p': ubf.c:(.text+0x3a4): undefined reference to __gmpz_set_si'
/usr/bin/ld: ubf.c:(.text+0x3cc): undefined reference to __gmpz_set_si' /usr/bin/ld: ubf.c:(.text+0x3d7): undefined reference to __gmpz_cmp'
/usr/bin/ld: ubf.c:(.text+0x418): undefined reference to __gmpz_set' /usr/bin/ld: ubf.c:(.text+0x428): undefined reference to __gmpz_set'
/usr/bin/ld: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfr.a(ubf.o): in function mpfr_ubf_diff_exp': ubf.c:(.text+0x5a5): undefined reference to __gmpz_set_si'
/usr/bin/ld: ubf.c:(.text+0x5cd): undefined reference to __gmpz_set_si' /usr/bin/ld: ubf.c:(.text+0x5db): undefined reference to __gmpz_sub'
/usr/bin/ld: ubf.c:(.text+0x629): undefined reference to __gmpz_set' /usr/bin/ld: ubf.c:(.text+0x640): undefined reference to __gmpz_set'
collect2: error: ld returned 1 exit status
gmake[1]: *** [CMakeFiles/cmTC_64239.dir/build.make:102: cmTC_64239] Error 1
gmake[1]: Leaving directory '/root/github/install/cgal/CGAL-6.0.1/examples/Algebraic_kernel_d/build/CMakeFiles/CMakeTmp'
gmake: *** [Makefile:127: cmTC_64239/fast] Error 2

-- End of the MPFI test output
-- Configuring done
...
Repro code when

Expected behavior
A clear and concise description of what you expected to happen.
After swap {GMP_LIBRARIES} and {MPFR_LIBRARIES} order in CGAL-6.0.1/cmake/modules/CGAL_UseMPFI.cmake c:20-24.
"-DLINK_LIBRARIES:
STRING=${MPFI_LIBRARIES};${GMP_LIBRARIES};${MPFR_LIBRARIES}"
"-DLINK_DIRECTORIES:
STRING=${MPFI_LIBRARIES_DIR};${GMP_LIBRARIES_DIRS};${MPFR_LIBRARIES}"

cmake have a correct output:
-- MPFI libraries: /root/github/install/cgal/vcpkg_installed/x64-linux/lib/libmpfi.a
-- Configuring done