diff --git a/toolchain/README.md b/toolchain/README.md
index cf2d4830f2..adf6c30051 100644
--- a/toolchain/README.md
+++ b/toolchain/README.md
@@ -1,5 +1,5 @@
 # The ABACUS Toolchain
-Version 2024.1
+Version 2024.2
 
 ## Author
 [QuantumMisaka](https://github.com/QuantumMisaka) 
@@ -19,7 +19,7 @@ and give setup files that you can use to compile ABACUS.
 ## Todo
 
 - [x] `gnu-openblas` toolchain support for `openmpi` and `mpich`.
-- [x] `intel-mkl-mpi` toolchain support using `icc` or `icx`. (`icx` version of ABACUS have some problem now, please be cautious)
+- [x] `intel-mkl-mpi` toolchain support using `icc`/`icpc`/`ifort` or `icx`/`icpx`/`ifort`. (`icx` as default, but will have problem for ELPA in AMD machine, one can specify `--with-intel-classic=yes` to use `icc`), 
 - [x] `intel-mkl-mpich` toolchain support.
 - [x] Automatic installation of [CEREAL](https://github.com/USCiLab/cereal) and [LIBNPY](https://github.com/llohse/libnpy) (by github.com)
 - [x] Support for [LibRI](https://github.com/abacusmodeling/LibRI) by submodule or automatic installation from github.com (but installed LibRI via `wget` seems to have some problem, please be cautious)
@@ -75,14 +75,14 @@ Notice: These packages will be downloaded by `wget` from `github.com`, which is
 
 Instead of github.com, we offer other package station, you can use it by:
 ```shell
-wget https://bohrium-api.dp.tech/ds-dl/abacus-deps-93wi-v2 -O abacus-deps-v2.zip
+wget https://bohrium-api.dp.tech/ds-dl/abacus-deps-93wi-v3 -O abacus-deps-v3.zip
 ```
 `unzip` it ,and you can do offline installation of these packages above after rename. The above station will be updated handly but one should notice that the version will always lower than github repo.
 
 If one want to install ABACUS by toolchain OFFLINE, 
 one can manually download all the packages from [cp2k-static/download](https://www.cp2k.org/static/downloads) or official website
 and put them in *build* directory by formatted name
-like *fftw-3.3.10.tar.gz*, or *openmpi-4.1.5.tar.gz*, 
+like *fftw-3.3.10.tar.gz*, or *openmpi-5.0.3.tar.gz*, 
 then run this toolchain. 
 All package will be detected and installed automatically. 
 Also, one can install parts of packages OFFLINE and parts of packages ONLINE
@@ -96,22 +96,22 @@ just by using this toolchain
 ```
 
 The needed dependencies version default:
-- `cmake` 3.28.1
+- `cmake` 3.30.0
 - `gcc` 13.2.0 (which will always NOT be installed, But use system)
-- `OpenMPI` 5.0.0
+- `OpenMPI` 5.0.3
 - `MPICH` 4.1.2
-- `OpenBLAS` 0.3.25 (Intel toolchain need `get_vars.sh` tool from it)
+- `OpenBLAS` 0.3.27 (Intel toolchain need `get_vars.sh` tool from it)
 - `ScaLAPACK` 2.2.1
 - `FFTW` 3.3.10
 - `LibXC` 6.2.2
-- `ELPA` 2023.05.001
+- `ELPA` 2024.03.001
 - `CEREAL` 1.3.2
 - `RapidJSON` 1.1.0
 And Intel-oneAPI need user or server manager to manually install from Intel.
 [Intel-oneAPI](https://www.intel.cn/content/www/cn/zh/developer/tools/oneapi/toolkits.html)
 
 Dependencies below are optional， which is NOT installed by default:
-- `LibTorch` 2.0.1
+- `LibTorch` 2.1.2
 - `Libnpy` 1.0.1
 - `LibRI` 0.1.1
 - `LibComm` 0.1.0
diff --git a/toolchain/build_abacus_gnu.sh b/toolchain/build_abacus_gnu.sh
index 724131bc23..4ae7490a38 100755
--- a/toolchain/build_abacus_gnu.sh
+++ b/toolchain/build_abacus_gnu.sh
@@ -22,15 +22,15 @@ BUILD_DIR=build_abacus_gnu
 rm -rf $BUILD_DIR
 
 PREFIX=$ABACUS_DIR
-LAPACK=$INSTALL_DIR/openblas-0.3.25/lib
+LAPACK=$INSTALL_DIR/openblas-0.3.27/lib
 SCALAPACK=$INSTALL_DIR/scalapack-2.2.1/lib
-ELPA=$INSTALL_DIR/elpa-2023.05.001/cpu
+ELPA=$INSTALL_DIR/elpa-2024.03.001/cpu
 FFTW3=$INSTALL_DIR/fftw-3.3.10
 CEREAL=$INSTALL_DIR/cereal-1.3.2/include/cereal
 LIBXC=$INSTALL_DIR/libxc-6.2.2
 # LIBRI=$INSTALL_DIR/LibRI-0.1.1
 # LIBCOMM=$INSTALL_DIR/LibComm-0.1.0
-# LIBTORCH=$INSTALL_DIR/libtorch-2.0.1/share/cmake/Torch
+# LIBTORCH=$INSTALL_DIR/libtorch-2.1.2/share/cmake/Torch
 # LIBNPY=$INSTALL_DIR/libnpy-1.0.1/include
 # DEEPMD=$HOME/apps/anaconda3/envs/deepmd
 
@@ -47,6 +47,7 @@ cmake -B $BUILD_DIR -DCMAKE_INSTALL_PREFIX=$PREFIX \
         -DENABLE_LIBXC=ON \
         -DUSE_OPENMP=ON \
         -DUSE_ELPA=ON \
+        -DENABLE_RAPIDJSON=ON \
 #         -DENABLE_DEEPKS=1 \
 #         -DTorch_DIR=$LIBTORCH \
 #         -Dlibnpy_INCLUDE_DIR=$LIBNPY \
@@ -55,7 +56,7 @@ cmake -B $BUILD_DIR -DCMAKE_INSTALL_PREFIX=$PREFIX \
 #         -DLIBCOMM_DIR=$LIBCOMM \
 # 	      -DDeePMD_DIR=$DEEPMD \
 # 	      -DTensorFlow_DIR=$DEEPMD \
-#         -DENABLE_RAPIDJSON=ON \
+
 
 # # add mkl env for libtorch to link
 # if one want to install libtorch, mkl should be load in build process
diff --git a/toolchain/build_abacus_intel-mpich.sh b/toolchain/build_abacus_intel-mpich.sh
index 6eb476c215..7f42579d06 100755
--- a/toolchain/build_abacus_intel-mpich.sh
+++ b/toolchain/build_abacus_intel-mpich.sh
@@ -23,10 +23,10 @@ BUILD_DIR=build_abacus_intel-mpich
 rm -rf $BUILD_DIR
 
 PREFIX=$ABACUS_DIR
-ELPA=$INSTALL_DIR/elpa-2023.05.001/cpu
+ELPA=$INSTALL_DIR/elpa-2024.03.001/cpu
 CEREAL=$INSTALL_DIR/cereal-1.3.2/include/cereal
 LIBXC=$INSTALL_DIR/libxc-6.2.2
-# LIBTORCH=$INSTALL_DIR/libtorch-2.0.1/share/cmake/Torch
+# LIBTORCH=$INSTALL_DIR/libtorch-2.1.2/share/cmake/Torch
 # LIBNPY=$INSTALL_DIR/libnpy-1.0.1/include
 # LIBRI=$INSTALL_DIR/LibRI-0.1.1
 # LIBCOMM=$INSTALL_DIR/LibComm-0.1.0
@@ -43,15 +43,16 @@ cmake -B $BUILD_DIR -DCMAKE_INSTALL_PREFIX=$PREFIX \
         -DENABLE_LIBXC=ON \
         -DUSE_OPENMP=ON \
         -DUSE_ELPA=ON \
-        # -DENABLE_DEEPKS=1 \
-        # -DTorch_DIR=$LIBTORCH \
-        # -Dlibnpy_INCLUDE_DIR=$LIBNPY \
-        # -DENABLE_LIBRI=ON \
-        # -DLIBRI_DIR=$LIBRI \
-        # -DLIBCOMM_DIR=$LIBCOMM \
-	    # -DDeePMD_DIR=$DEEPMD \
-	    # -DTensorFlow_DIR=$DEEPMD \
-#         -DENABLE_RAPIDJSON=ON \
+        -DENABLE_RAPIDJSON=ON \
+#       -DENABLE_DEEPKS=1 \
+#       -DTorch_DIR=$LIBTORCH \
+#       -Dlibnpy_INCLUDE_DIR=$LIBNPY \
+#       -DENABLE_LIBRI=ON \
+#       -DLIBRI_DIR=$LIBRI \
+#       -DLIBCOMM_DIR=$LIBCOMM \
+#       -DDeePMD_DIR=$DEEPMD \
+#       -DTensorFlow_DIR=$DEEPMD \
+
 
 # if one want's to include deepmd, your gcc version should be >= 11.3.0
 
diff --git a/toolchain/build_abacus_intel.sh b/toolchain/build_abacus_intel.sh
index 4dde3bcce2..6ad3c89e76 100755
--- a/toolchain/build_abacus_intel.sh
+++ b/toolchain/build_abacus_intel.sh
@@ -23,10 +23,10 @@ BUILD_DIR=build_abacus_intel
 rm -rf $BUILD_DIR
 
 PREFIX=$ABACUS_DIR
-ELPA=$INSTALL_DIR/elpa-2023.05.001/cpu
+ELPA=$INSTALL_DIR/elpa-2024.03.001/cpu
 CEREAL=$INSTALL_DIR/cereal-1.3.2/include/cereal
 LIBXC=$INSTALL_DIR/libxc-6.2.2
-# LIBTORCH=$INSTALL_DIR/libtorch-2.0.1/share/cmake/Torch
+# LIBTORCH=$INSTALL_DIR/libtorch-2.1.2/share/cmake/Torch
 # LIBNPY=$INSTALL_DIR/libnpy-1.0.1/include
 # LIBRI=$INSTALL_DIR/LibRI-0.1.1
 # LIBCOMM=$INSTALL_DIR/LibComm-0.1.0
@@ -44,6 +44,7 @@ cmake -B $BUILD_DIR -DCMAKE_INSTALL_PREFIX=$PREFIX \
         -DENABLE_LIBXC=ON \
         -DUSE_OPENMP=ON \
         -DUSE_ELPA=ON \
+        -DENABLE_RAPIDJSON=ON \
 #         -DENABLE_DEEPKS=1 \
 #         -DTorch_DIR=$LIBTORCH \
 #         -Dlibnpy_INCLUDE_DIR=$LIBNPY \
@@ -52,7 +53,7 @@ cmake -B $BUILD_DIR -DCMAKE_INSTALL_PREFIX=$PREFIX \
 #         -DLIBCOMM_DIR=$LIBCOMM \
 # 	      -DDeePMD_DIR=$DEEPMD \
 # 	      -DTensorFlow_DIR=$DEEPMD \
-#         -DENABLE_RAPIDJSON=ON \
+
 
 cmake --build $BUILD_DIR -j `nproc` 
 cmake --install $BUILD_DIR 2>/dev/null
diff --git a/toolchain/install_abacus_toolchain.sh b/toolchain/install_abacus_toolchain.sh
index e0d35eb06c..23c88a8b59 100755
--- a/toolchain/install_abacus_toolchain.sh
+++ b/toolchain/install_abacus_toolchain.sh
@@ -171,8 +171,6 @@ The --with-PKG options follow the rules:
                           Default = install
   --with-fftw             FFTW3, library for fast fourier transform
                           Default = install
-  --with-acml             AMD core maths library, which provides LAPACK and BLAS
-                          Default = system
   --with-mkl              Intel Math Kernel Library, which provides LAPACK, and BLAS.
                           If MKL's FFTW3 interface is suitable (no FFTW-MPI support),
                           it replaces the FFTW library. If the ScaLAPACK component is
diff --git a/toolchain/scripts/VERSION b/toolchain/scripts/VERSION
index 810524d3d4..a6faad3be8 100644
--- a/toolchain/scripts/VERSION
+++ b/toolchain/scripts/VERSION
@@ -1,2 +1,2 @@
 # version file to force a rebuild of the entire toolchain
-VERSION="2024.1"
+VERSION="2024.2"
diff --git a/toolchain/scripts/get_openblas_arch.sh b/toolchain/scripts/get_openblas_arch.sh
index a07913bc34..70b492d576 100755
--- a/toolchain/scripts/get_openblas_arch.sh
+++ b/toolchain/scripts/get_openblas_arch.sh
@@ -3,13 +3,13 @@
 # TODO: Review and if possible fix shellcheck errors.
 # shellcheck disable=all
 
-# Last Update in 2024-0219
+# Last Update in 2024-0811
 
 [ "${BASH_SOURCE[0]}" ] && SCRIPT_NAME="${BASH_SOURCE[0]}" || SCRIPT_NAME=$0
 SCRIPT_DIR="$(cd "$(dirname "$SCRIPT_NAME")" && pwd -P)"
 
-openblas_ver="0.3.25" # Keep in sync with install_openblas.sh
-openblas_sha256="4c25cb30c4bb23eddca05d7d0a85997b8db6144f5464ba7f8c09ce91e2f35543"
+openblas_ver="0.3.27" # Keep in sync with install_openblas.sh
+openblas_sha256="aa2d68b1564fe2b13bc292672608e9cdeeeb6dc34995512e65c3b10f4599e897"
 openblas_pkg="OpenBLAS-${openblas_ver}.tar.gz"
 
 source "${SCRIPT_DIR}"/common_vars.sh
diff --git a/toolchain/scripts/stage0/install_cmake.sh b/toolchain/scripts/stage0/install_cmake.sh
index 8523d35dcb..a76472901b 100755
--- a/toolchain/scripts/stage0/install_cmake.sh
+++ b/toolchain/scripts/stage0/install_cmake.sh
@@ -3,7 +3,7 @@
 # TODO: Review and if possible fix shellcheck errors.
 # shellcheck disable=all
 
-# Last Update in 2024-0219
+# Last Update in 2024-0811
 
 [ "${BASH_SOURCE[0]}" ] && SCRIPT_NAME="${BASH_SOURCE[0]}" || SCRIPT_NAME=$0
 SCRIPT_DIR="$(cd "$(dirname "$SCRIPT_NAME")/.." && pwd -P)"
@@ -21,13 +21,13 @@ cd "${BUILDDIR}"
 case "${with_cmake}" in
   __INSTALL__)
     echo "==================== Installing CMake ===================="
-    cmake_ver="3.28.1"
+    cmake_ver="3.30.0"
     if [ "${OPENBLAS_ARCH}" = "arm64" ]; then
       cmake_arch="linux-aarch64"
-      cmake_sha256="4ecba78ef9499a973d012a83feab5f888e86fc5388e9a768037ab4f7232cab16"
+      cmake_sha256="daa89552fd9102fb70399b31b5605c4f61125023bbbed947757a7b53ce36c4d0"
     elif [ "${OPENBLAS_ARCH}" = "x86_64" ]; then
       cmake_arch="linux-x86_64"
-      cmake_sha256="ada6a46be9da5f8cbeb00b9523ffe45ee6b36172eb81aaa5bdc6a2a8231b677c"
+      cmake_sha256="1a5969fe81fea6e5220d053d9d3e3754cbc85be07d2d428bebdcfe87137971a9"
     else
       report_error ${LINENO} \
         "cmake installation for ARCH=${ARCH} is not supported. You can try to use the system installation using the flag --with-cmake=system instead."
@@ -67,7 +67,7 @@ if [ "${with_cmake}" != "__DONTUSE__" ]; then
   if [ "${with_cmake}" != "__SYSTEM__" ]; then
     cat << EOF > "${BUILDDIR}/setup_cmake"
 prepend_path PATH "${pkg_install_dir}/bin"
-export PATH="${pkg_install_dir}/bin:":\${PATH}
+export PATH="${pkg_install_dir}/bin":\${PATH}
 EOF
     cat "${BUILDDIR}/setup_cmake" >> $SETUPFILE
   fi
diff --git a/toolchain/scripts/stage0/install_gcc.sh b/toolchain/scripts/stage0/install_gcc.sh
index 43b9fc496a..cdbfffbd26 100755
--- a/toolchain/scripts/stage0/install_gcc.sh
+++ b/toolchain/scripts/stage0/install_gcc.sh
@@ -3,13 +3,16 @@
 # TODO: Review and if possible fix shellcheck errors.
 # shellcheck disable=all
 
-# Last Update in 2023-1111
+# Last Update in 2024-0811
 
 [ "${BASH_SOURCE[0]}" ] && SCRIPT_NAME="${BASH_SOURCE[0]}" || SCRIPT_NAME=$0
 SCRIPT_DIR="$(cd "$(dirname "$SCRIPT_NAME")/.." && pwd -P)"
-
+# gcc 13 is good
 gcc_ver="13.2.0"
 gcc_sha256="8cb4be3796651976f94b9356fa08d833524f62420d6292c5033a9a26af315078"
+# use gcc 14 with caution
+#gcc_ver="14.1.0"
+#gcc_sha256="a0be066c02775002a0fa65ad3c65fb56a8bfd923d072a26ed148c0439ecdb68f"
 
 source "${SCRIPT_DIR}"/common_vars.sh
 source "${SCRIPT_DIR}"/tool_kit.sh
@@ -61,7 +64,7 @@ case "${with_gcc}" in
       # TODO: Unfortunately, we can not simply use --disable-shared, because
       # it would break OpenBLAS build and probably others too.
       COMMON_FLAGS="-O2 -fPIC -fno-omit-frame-pointer -fopenmp -g"
-      CFLAGS="${COMMON_FLAGS} -std=gnu99"
+      CFLAGS="${COMMON_FLAGS}"
       CXXFLAGS="${CFLAGS}"
       FCFLAGS="${COMMON_FLAGS} -fbacktrace"
       ${GCCROOT}/configure --prefix="${pkg_install_dir}" \
diff --git a/toolchain/scripts/stage0/install_intel.sh b/toolchain/scripts/stage0/install_intel.sh
index ed5e4c5f30..fce2984c64 100755
--- a/toolchain/scripts/stage0/install_intel.sh
+++ b/toolchain/scripts/stage0/install_intel.sh
@@ -3,7 +3,7 @@
 # TODO: Review and if possible fix shellcheck errors.
 # shellcheck disable=all
 
-# Last Update in 2023-0901
+# Last Update in 2024-0811
 
 [ "${BASH_SOURCE[0]}" ] && SCRIPT_NAME="${BASH_SOURCE[0]}" || SCRIPT_NAME=${0}
 SCRIPT_DIR="$(cd "$(dirname "${SCRIPT_NAME}")/.." && pwd -P)"
@@ -56,10 +56,10 @@ case "${with_intel}" in
       check_command ${pkg_install_dir}/bin/icpc "intel" && CXX="${pkg_install_dir}/bin/icpc" || exit 1
       check_command ${pkg_install_dir}/bin/ifort "intel" && FC="${pkg_install_dir}/bin/ifort" || exit 1
     else
-    # abacus do not need icx, the key is mkl
       check_command ${pkg_install_dir}/bin/icx "intel" && CC="${pkg_install_dir}/bin/icx" || exit 1
       check_command ${pkg_install_dir}/bin/icpx "intel" && CXX="${pkg_install_dir}/bin/icpx" || exit 1
       check_command ${pkg_install_dir}/bin/ifort "intel" && FC="${pkg_install_dir}/bin/ifort" || exit 1
+      # is ifx needed ?
     fi
     F90="${FC}"
     F77="${FC}"
diff --git a/toolchain/scripts/stage1/install_openmpi.sh b/toolchain/scripts/stage1/install_openmpi.sh
index a99746f828..fffa9a4cec 100755
--- a/toolchain/scripts/stage1/install_openmpi.sh
+++ b/toolchain/scripts/stage1/install_openmpi.sh
@@ -3,13 +3,13 @@
 # TODO: Review and if possible fix shellcheck errors.
 # shellcheck disable=all
 
-# Last Update in 2024-0219
+# Last Update in 2024-0811
 
 [ "${BASH_SOURCE[0]}" ] && SCRIPT_NAME="${BASH_SOURCE[0]}" || SCRIPT_NAME=$0
 SCRIPT_DIR="$(cd "$(dirname "$SCRIPT_NAME")/.." && pwd -P)"
 
-openmpi_ver="5.0.0"
-openmpi_sha256="9d845ca94bc1aeb445f83d98d238cd08f6ec7ad0f73b0f79ec1668dbfdacd613"
+openmpi_ver="5.0.3"
+openmpi_sha256="990582f206b3ab32e938aa31bbf07c639368e4405dca196fabe7f0f76eeda90b"
 openmpi_pkg="openmpi-${openmpi_ver}.tar.bz2"
 
 source "${SCRIPT_DIR}"/common_vars.sh
diff --git a/toolchain/scripts/stage2/install_acml.sh b/toolchain/scripts/stage2/install_acml.sh
deleted file mode 100755
index e9cb511162..0000000000
--- a/toolchain/scripts/stage2/install_acml.sh
+++ /dev/null
@@ -1,76 +0,0 @@
-#!/bin/bash -e
-
-# TODO: Review and if possible fix shellcheck errors.
-# shellcheck disable=all
-
-# Last Update in 2023-0901
-
-[ "${BASH_SOURCE[0]}" ] && SCRIPT_NAME="${BASH_SOURCE[0]}" || SCRIPT_NAME=$0
-SCRIPT_DIR="$(cd "$(dirname "$SCRIPT_NAME")/.." && pwd -P)"
-
-source "${SCRIPT_DIR}"/common_vars.sh
-source "${SCRIPT_DIR}"/tool_kit.sh
-source "${SCRIPT_DIR}"/signal_trap.sh
-source "${INSTALLDIR}"/toolchain.conf
-source "${INSTALLDIR}"/toolchain.env
-
-[ -f "${BUILDDIR}/setup_acml" ] && rm "${BUILDDIR}/setup_acml"
-
-ACML_CFLAGS=''
-ACML_LDFLAGS=''
-ACML_LIBS=''
-! [ -d "${BUILDDIR}" ] && mkdir -p "${BUILDDIR}"
-cd "${BUILDDIR}"
-
-case "$with_acml" in
-  __INSTALL__)
-    echo "==================== Installing ACML ===================="
-    report_error $LINENO "To install ACML you should either contact your system administrator or go to https://developer.amd.com/tools-and-sdks/archive/amd-core-math-library-acml/acml-downloads-resources/ and download the correct version for your system."
-    exit 1
-    ;;
-  __SYSTEM__)
-    echo "==================== Finding ACML from system paths ===================="
-    check_lib -lacml "ACML"
-    add_include_from_paths ACML_CFLAGS "acml.h" $INCLUDE_PATHS
-    add_lib_from_paths ACML_LDFLAGS "libacml.*" $LIB_PATHS
-    ;;
-  __DONTUSE__) ;;
-
-  *)
-    echo "==================== Linking ACML to user paths ===================="
-    pkg_install_dir="$with_acml"
-    check_dir "${pkg_install_dir}/lib"
-    ACML_CFLAGS="-I'${pkg_install_dir}/include'"
-    ACML_LDFLAGS="-L'${pkg_install_dir}/lib' -Wl,-rpath,'${pkg_install_dir}/lib'"
-    ;;
-esac
-if [ "$with_acml" != "__DONTUSE__" ]; then
-  ACML_LIBS="-lacml"
-  if [ "$with_acml" != "__SYSTEM__" ]; then
-    cat << EOF > "${BUILDDIR}/setup_acml"
-prepend_path LD_LIBRARY_PATH "$pkg_install_dir/lib"
-prepend_path LD_RUN_PATH "$pkg_install_dir/lib"
-prepend_path LIBRARY_PATH "$pkg_install_dir/lib"
-prepend_path CPATH "$pkg_install_dir/include"
-export LD_LIBRARY_PATH="$pkg_install_dir/lib":\${LD_LIBRARY_PATH}
-export LD_RUN_PATH="$pkg_install_dir/lib":\${LD_RUN_PATH}
-export LIBRARY_PATH="$pkg_install_dir/lib":\${LIBRARY_PATH}
-export CPATH="$pkg_install_dir/include":\${CPATH}
-EOF
-    cat "${BUILDDIR}/setup_acml" >> $SETUPFILE
-  fi
-  cat << EOF >> "${BUILDDIR}/setup_acml"
-export ACML_CFLAGS="${ACML_CFLAGS}"
-export ACML_LDFLAGS="${ACML_LDFLAGS}"
-export ACML_LIBS="${ACML_LIBS}"
-export MATH_CFLAGS="\${MATH_CFLAGS} ${ACML_CFLAGS}"
-export MATH_LDFLAGS="\${MATH_LDFLAGS} ${ACML_LDFLAGS}"
-export MATH_LIBS="\${MATH_LIBS} ${ACML_LIBS}"
-EOF
-fi
-
-load "${BUILDDIR}/setup_acml"
-write_toolchain_env "${INSTALLDIR}"
-
-cd "${ROOTDIR}"
-report_timing "acml"
diff --git a/toolchain/scripts/stage2/install_mathlibs.sh b/toolchain/scripts/stage2/install_mathlibs.sh
index 79c7687404..ed78957882 100755
--- a/toolchain/scripts/stage2/install_mathlibs.sh
+++ b/toolchain/scripts/stage2/install_mathlibs.sh
@@ -3,7 +3,7 @@
 # TODO: Review and if possible fix shellcheck errors.
 # shellcheck disable=all
 
-# Last Update in 2023-0901
+# Last Update in 2024-0810
 
 [ "${BASH_SOURCE[0]}" ] && SCRIPT_NAME="${BASH_SOURCE[0]}" || SCRIPT_NAME=$0
 SCRIPT_DIR="$(cd "$(dirname "$SCRIPT_NAME")/.." && pwd -P)"
@@ -25,10 +25,6 @@ case "$MATH_MODE" in
     "${SCRIPTDIR}"/stage2/install_mkl.sh "${with_mkl}"
     load "${BUILDDIR}/setup_mkl"
     ;;
-  acml)
-    "${SCRIPTDIR}"/stage2/install_acml.sh "${with_acml}"
-    load "${BUILDDIR}/setup_acml"
-    ;;
   openblas)
     "${SCRIPTDIR}"/stage2/install_openblas.sh "${with_openblas}"
     load "${BUILDDIR}/setup_openblas"
diff --git a/toolchain/scripts/stage2/install_openblas.sh b/toolchain/scripts/stage2/install_openblas.sh
index 50225fcb34..18039b2023 100755
--- a/toolchain/scripts/stage2/install_openblas.sh
+++ b/toolchain/scripts/stage2/install_openblas.sh
@@ -3,13 +3,13 @@
 # TODO: Review and if possible fix shellcheck errors.
 # shellcheck disable=all
 
-# Last Update in 2023-1111
+# Last Update in 2024-0811
 
 [ "${BASH_SOURCE[0]}" ] && SCRIPT_NAME="${BASH_SOURCE[0]}" || SCRIPT_NAME=$0
 SCRIPT_DIR="$(cd "$(dirname "$SCRIPT_NAME")/.." && pwd -P)"
 
-openblas_ver="0.3.25" # Keep in sync with get_openblas_arch.sh
-openblas_sha256="4c25cb30c4bb23eddca05d7d0a85997b8db6144f5464ba7f8c09ce91e2f35543"
+openblas_ver="0.3.27" # Keep in sync with get_openblas_arch.sh
+openblas_sha256="aa2d68b1564fe2b13bc292672608e9cdeeeb6dc34995512e65c3b10f4599e897"
 openblas_pkg="OpenBLAS-${openblas_ver}.tar.gz"
 
 source "${SCRIPT_DIR}"/common_vars.sh
diff --git a/toolchain/scripts/stage3/install_elpa.sh b/toolchain/scripts/stage3/install_elpa.sh
index 41db352ad2..24756c43b7 100755
--- a/toolchain/scripts/stage3/install_elpa.sh
+++ b/toolchain/scripts/stage3/install_elpa.sh
@@ -3,14 +3,14 @@
 # TODO: Review and if possible fix shellcheck errors.
 # shellcheck disable=all
 
-# Last Update in 2024-0219
+# Last Update in 2024-0811
 
 [ "${BASH_SOURCE[0]}" ] && SCRIPT_NAME="${BASH_SOURCE[0]}" || SCRIPT_NAME=$0
 SCRIPT_DIR="$(cd "$(dirname "$SCRIPT_NAME")/.." && pwd -P)"
 
 # From https://elpa.mpcdf.mpg.de/software/tarball-archive/ELPA_TARBALL_ARCHIVE.html
-elpa_ver="2023.05.001"
-elpa_sha256="ec64be5d6522810d601a3b8e6a31720e3c3eb4af33a434d8a64570d76e6462b6"
+elpa_ver="2024.03.001"
+elpa_sha256="41c6cbf56d2dac26443faaba8a77307d261bf511682a64b96e24def77c813622"
 
 
 source "${SCRIPT_DIR}"/common_vars.sh
@@ -52,7 +52,7 @@ case "$with_elpa" in
         # extra LDFLAGS needed
         cray_ldflags="-dynamic"
       fi
-      enable_openmp="no"
+      # enable_openmp="no"
     fi
 
     if verify_checksums "${install_lock_file}"; then
@@ -76,7 +76,7 @@ case "$with_elpa" in
       AVX512_flags=""
       FMA_flag=""
       SSE4_flag=""
-      config_flags="--disable-avx --disable-avx2 --disable-avx512 --disable-sse --disable-sse-assembly"
+      config_flags="--disable-avx-kernels --disable-avx2-kernels --disable-avx512-kernels --disable-sse-kernels --disable-sse-assembly-kernels"
       if [ "${TARGET_CPU}" = "native" ]; then
         if [ -f /proc/cpuinfo ] && [ "${OPENBLAS_ARCH}" = "x86_64" ]; then
           has_AVX=$(grep '\bavx\b' /proc/cpuinfo 1> /dev/null && echo 'yes' || echo 'no')
@@ -91,7 +91,7 @@ case "$with_elpa" in
           grep '\bavx512cd\b' /proc/cpuinfo 1> /dev/null && AVX512_flags+=" -mavx512cd"
           grep '\bavx512bw\b' /proc/cpuinfo 1> /dev/null && AVX512_flags+=" -mavx512bw"
           grep '\bavx512vl\b' /proc/cpuinfo 1> /dev/null && AVX512_flags+=" -mavx512vl"
-          config_flags="--enable-avx=${has_AVX} --enable-avx2=${has_AVX2} --enable-avx512=${has_AVX512}"
+          config_flags="--enable-avx-kernels=${has_AVX} --enable-avx2-kernels=${has_AVX2} --enable-avx512-kernels=${has_AVX512}"
         fi
       fi
       for TARGET in "cpu" "nvidia"; do
diff --git a/toolchain/scripts/stage3/install_scalapack.sh b/toolchain/scripts/stage3/install_scalapack.sh
index 2dc0ce0d87..748f6882ba 100755
--- a/toolchain/scripts/stage3/install_scalapack.sh
+++ b/toolchain/scripts/stage3/install_scalapack.sh
@@ -52,11 +52,14 @@ case "$with_scalapack" in
       if ("${FC}" --version | grep -q 'GNU'); then
         flags=$(allowed_gfortran_flags "-fallow-argument-mismatch")
       fi
+      # modified by @YuugataShinonome for GCC 14
       FFLAGS=$flags cmake -DCMAKE_FIND_ROOT_PATH="$ROOTDIR" \
         -DCMAKE_INSTALL_PREFIX="${pkg_install_dir}" \
         -DCMAKE_INSTALL_LIBDIR="lib" \
+        -DCMAKE_VERBOSE_MAKEFILE=ON \
         -DBUILD_SHARED_LIBS=YES \
         -DCMAKE_BUILD_TYPE=Release .. \
+        -DCMAKE_C_FLAGS:STRING="$CFLAGS -Wno-implicit-function-declaration"
         -DBUILD_TESTING=NO \
         -DSCALAPACK_BUILD_TESTS=NO \
         > configure.log 2>&1 || tail -n ${LOG_LINES} configure.log
diff --git a/toolchain/scripts/stage4/install_cereal.sh b/toolchain/scripts/stage4/install_cereal.sh
index 540743ce92..27f8234452 100755
--- a/toolchain/scripts/stage4/install_cereal.sh
+++ b/toolchain/scripts/stage4/install_cereal.sh
@@ -78,7 +78,7 @@ if [ "$with_cereal" != "__DONTUSE__" ]; then
     # LibRI deps should find cereal include in CPATH
         cat << EOF > "${BUILDDIR}/setup_cereal"
 prepend_path CPATH "$pkg_install_dir/include"
-export CPATH="${pkg_install_dir}/include:"\${CPATH}
+export CPATH="${pkg_install_dir}/include":\${CPATH}
 EOF
         cat "${BUILDDIR}/setup_cereal" >> $SETUPFILE
     fi
diff --git a/toolchain/scripts/stage4/install_libcomm.sh b/toolchain/scripts/stage4/install_libcomm.sh
index 90cecb9c16..6e1a30e973 100755
--- a/toolchain/scripts/stage4/install_libcomm.sh
+++ b/toolchain/scripts/stage4/install_libcomm.sh
@@ -47,8 +47,8 @@ case "$with_libcomm" in
             report_error "failed to download $url"
             recommend_offline_installation $filename $url
             fi
-        # checksum
-        checksum "$filename" "$libcomm_sha256"
+            # checksum
+            checksum "$filename" "$libcomm_sha256"
         fi
         echo "Installing from scratch into ${pkg_install_dir}"
         [ -d $dirname ] && rm -rf $dirname
diff --git a/toolchain/scripts/stage4/install_libnpy.sh b/toolchain/scripts/stage4/install_libnpy.sh
index 244c5aeb53..b06bee4d23 100755
--- a/toolchain/scripts/stage4/install_libnpy.sh
+++ b/toolchain/scripts/stage4/install_libnpy.sh
@@ -47,8 +47,8 @@ case "$with_libnpy" in
             report_error "failed to download $url"
             recommend_offline_installation $filename $url
             fi
-        # checksum
-        checksum "$filename" "$libnpy_sha256"
+            # checksum
+            checksum "$filename" "$libnpy_sha256"
         fi
         echo "Installing from scratch into ${pkg_install_dir}"
         [ -d $dirname ] && rm -rf $dirname
diff --git a/toolchain/scripts/stage4/install_libri.sh b/toolchain/scripts/stage4/install_libri.sh
index d33fe3068f..febf4b2daa 100755
--- a/toolchain/scripts/stage4/install_libri.sh
+++ b/toolchain/scripts/stage4/install_libri.sh
@@ -11,7 +11,7 @@
 [ "${BASH_SOURCE[0]}" ] && SCRIPT_NAME="${BASH_SOURCE[0]}" || SCRIPT_NAME=$0
 SCRIPT_DIR="$(cd "$(dirname "$SCRIPT_NAME")/.." && pwd -P)"
 
-libri_ver="0.1.1"
+libri_ver="0.1.1" # libri 0.2 is not ready ？
 libri_sha256="51deb08aa373e54d2c123b57bfd4b3507accac0d496a94b766eaeadccd9e4bd0"
 source "${SCRIPT_DIR}"/common_vars.sh
 source "${SCRIPT_DIR}"/tool_kit.sh
@@ -47,8 +47,8 @@ case "$with_libri" in
             report_error "failed to download $url"
             recommend_offline_installation $filename $url
             fi
-        # checksum
-        checksum "$filename" "$libri_sha256"
+            # checksum
+            checksum "$filename" "$libri_sha256"
         fi
         echo "Installing from scratch into ${pkg_install_dir}"
         [ -d $dirname ] && rm -rf $dirname
diff --git a/toolchain/scripts/stage4/install_libtorch.sh b/toolchain/scripts/stage4/install_libtorch.sh
index e890e14958..444dd3a40b 100755
--- a/toolchain/scripts/stage4/install_libtorch.sh
+++ b/toolchain/scripts/stage4/install_libtorch.sh
@@ -4,17 +4,22 @@
 
 # shellcheck disable=all
 
-# Last Update in 2023-0908
+# Last Update in 2024-0812
 
 [ "${BASH_SOURCE[0]}" ] && SCRIPT_NAME="${BASH_SOURCE[0]}" || SCRIPT_NAME=$0
 SCRIPT_DIR="$(cd "$(dirname "$SCRIPT_NAME")/.." && pwd -P)"
 
 # From https://pytorch.org/get-started/locally/
-#libtorch_ver="1.12.1" # stable version
-#libtorch_sha256="82c7be80860f2aa7963f8700004a40af8205e1d721298f2e09b700e766a9d283"
-libtorch_ver="2.0.1" # newest, 
-# 2.0.1 libtorch will lead to lots of warning during build process in intel toolchain
-libtorch_sha256="137a842d1cf1e9196b419390133a1623ef92f8f84dc7a072f95ada684f394afd"
+# libtorch_ver="1.12.1" 
+# libtorch_sha256="82c7be80860f2aa7963f8700004a40af8205e1d721298f2e09b700e766a9d283"
+# libtorch_ver="2.0.1" 
+# libtorch_sha256="137a842d1cf1e9196b419390133a1623ef92f8f84dc7a072f95ada684f394afd"
+libtorch_ver="2.1.2"
+libtorch_sha256="904b764df6106a8a35bef64c4b55b8c1590ad9d071eb276e680cf42abafe79e9"
+
+# user can manually download higher version of libtorch by:
+# wget https://download.pytorch.org/libtorch/cpu/libtorch-cxx11-abi-shared-with-deps-{libtorch_ver}%2Bcpu.zip
+# 2.4.0 latest, 2.1.2 recommended for lower GLIBC support (lower than 3.4.26)
 
 # shellcheck source=/dev/null
 source "${SCRIPT_DIR}"/common_vars.sh
@@ -31,29 +36,40 @@ cd "${BUILDDIR}"
 case "${with_libtorch}" in
   __INSTALL__)
     echo "==================== Installing libtorch ===================="
-    pkg_install_dir="${INSTALLDIR}/libtorch-${libtorch_ver}"
+    dirname="libtorch-${libtorch_ver}"
+    filename="${dirname}.zip"
+    pkg_install_dir="${INSTALLDIR}/${filename}"
     #pkg_install_dir="${HOME}/lib/libtorch/${libtorch_ver}"
     install_lock_file="${pkg_install_dir}/install_successful"
-    archive_file="libtorch-cxx11-abi-shared-with-deps-${libtorch_ver}+cpu.zip"
+    archive_file="libtorch-cxx11-abi-shared-with-deps-${libtorch_ver}%2Bcpu.zip"
 
     if verify_checksums "${install_lock_file}"; then
-      echo "libtorch-${libtorch_ver} is already installed, skipping it."
+      echo "${filename} is already installed, skipping it."
     else
-      if [ -f ${archive_file} ]; then
-        echo "${archive_file} is found"
-      else
-        download_pkg_from_ABACUS_org "${libtorch_sha256}" "${archive_file}"
-      fi
-
-      echo "Installing from scratch into ${pkg_install_dir}"
-      [ -d libtorch ] && rm -rf libtorch
-      [ -d ${pkg_install_dir} ] && rm -rf ${pkg_install_dir}
-      unzip -q ${archive_file}
-      mkdir -p "${pkg_install_dir}"
-      mv libtorch/* "${pkg_install_dir}"
-
-      write_checksums "${install_lock_file}" "${SCRIPT_DIR}/stage4/$(basename "${SCRIPT_NAME}")"
+        if [ -f ${archive_file} ]; then
+            echo "${archive_file} is found"
+        else
+            # download_pkg_from_ABACUS_org "${libtorch_sha256}" "${archive_file}"
+            # download from pytorch.com and checksum
+            url=https://download.pytorch.org/libtorch/cpu/${archive_file}
+            echo "wget $url -O $filename"
+            if ! wget $url -O $filename; then
+            report_error "failed to download $url"
+            recommend_offline_installation $filename $url
+            fi
+            # checksum
+            checksum "$filename" "$libtorch_sha256"
+        fi
+        echo "Installing from scratch into ${pkg_install_dir}"
+        [ -d libtorch ] && rm -rf libtorch
+        [ -d ${pkg_install_dir} ] && rm -rf ${pkg_install_dir}
+        unzip -q $filename # to libtorch
+        mkdir -p "${pkg_install_dir}"
+        mv libtorch/* "${pkg_install_dir}/"
+
+        write_checksums "${install_lock_file}" "${SCRIPT_DIR}/stage4/$(basename ${SCRIPT_NAME})"
     fi
+    
     LIBTORCH_CXXFLAGS="-I${pkg_install_dir}/include"
     LIBTORCH_LDFLAGS="-L'${pkg_install_dir}/lib' -Wl,-rpath='${pkg_install_dir}/lib'"
     ;;
diff --git a/toolchain/scripts/stage4/install_rapidjson.sh b/toolchain/scripts/stage4/install_rapidjson.sh
index 0f02538ff3..1cd2d0deee 100755
--- a/toolchain/scripts/stage4/install_rapidjson.sh
+++ b/toolchain/scripts/stage4/install_rapidjson.sh
@@ -45,8 +45,8 @@ case "$with_rapidjson" in
             report_error "failed to download $url"
             recommend_offline_installation $filename $url
             fi
-        # checksum
-        checksum "$filename" "$rapidjson_sha256"
+            # checksum
+            checksum "$filename" "$rapidjson_sha256"
         fi
         echo "Installing from scratch into ${pkg_install_dir}"
         [ -d $dirname ] && rm -rf $dirname
@@ -78,7 +78,7 @@ if [ "$with_rapidjson" != "__DONTUSE__" ]; then
     # LibRI deps should find rapidjson include in CPATH
         cat << EOF > "${BUILDDIR}/setup_rapidjson"
 prepend_path CPATH "$pkg_install_dir/include"
-export CPATH="${pkg_install_dir}/include:"\${CPATH}
+export CPATH="${pkg_install_dir}/include":\${CPATH}
 EOF
         cat "${BUILDDIR}/setup_rapidjson" >> $SETUPFILE
     fi
diff --git a/toolchain/toolchain_gnu.sh b/toolchain/toolchain_gnu.sh
index e24c492391..04635bb63d 100755
--- a/toolchain/toolchain_gnu.sh
+++ b/toolchain/toolchain_gnu.sh
@@ -18,7 +18,7 @@
 --with-fftw=install \
 --with-elpa=install \
 --with-cereal=install \
---with-rapidjson=no \
+--with-rapidjson=install \
 --with-libtorch=no \
 --with-libnpy=no \
 --with-libri=no \
diff --git a/toolchain/toolchain_intel-mpich.sh b/toolchain/toolchain_intel-mpich.sh
index 99b4bc54d4..059ef541dd 100755
--- a/toolchain/toolchain_intel-mpich.sh
+++ b/toolchain/toolchain_intel-mpich.sh
@@ -21,7 +21,7 @@
 --with-fftw=no \
 --with-elpa=install \
 --with-cereal=install \
---with-rapidjson=no  \
+--with-rapidjson=install  \
 --with-libtorch=no \
 --with-libnpy=no \
 --with-libri=no \
diff --git a/toolchain/toolchain_intel.sh b/toolchain/toolchain_intel.sh
index d6ad383545..e5298c570d 100755
--- a/toolchain/toolchain_intel.sh
+++ b/toolchain/toolchain_intel.sh
@@ -22,7 +22,7 @@
 --with-fftw=no \
 --with-elpa=install \
 --with-cereal=install \
---with-rapidjson=no \
+--with-rapidjson=install \
 --with-libtorch=no \
 --with-libnpy=no \
 --with-libri=no \