diff --git a/Sheet5/CLANG_default.mk b/Sheet5/CLANG_default.mk
new file mode 100644
index 0000000..d27bbe6
--- /dev/null
+++ b/Sheet5/CLANG_default.mk
@@ -0,0 +1,131 @@
+# Basic Defintions for using GNU-compiler suite sequentially
+# requires setting of COMPILER=CLANG_
+# https://llvm.org/docs/CompileCudaWithLLVM.html
+# https://llvm.org/docs/NVPTXUsage.html
+
+#CLANGPATH=//usr/lib/llvm-10/bin/
+CC     = ${CLANGPATH}clang
+CXX    = ${CLANGPATH}clang++
+#CXX   = ${CLANGPATH}clang++ -lomptarget  -fopenmp-targets=nvptx64-nvidia-cuda --cuda-path=/opt/pgi/linux86-64/2017/cuda/8.0
+#F77   = gfortran
+LINKER = ${CXX}
+
+#http://clang.llvm.org/docs/UsersManual.html#options-to-control-error-and-warning-messages
+WARNINGS += -pedantic -Weverything -Wdocumentation -Wconversion -Wshadow -Wfloat-conversion
+WARNINGS += -Wno-c++98-compat -Wno-sign-conversion -Wno-date-time -Wno-shorten-64-to-32 -Wno-padded -ferror-limit=1
+WARNINGS += -Wno-unsafe-buffer-usage
+#-fsyntax-only -Wdocumentation -Wconversion -Wshadow -Wfloat-conversion -pedantic
+
+CXXFLAGS += -O3 -std=c++17 -ferror-limit=1 ${WARNINGS}
+# don't use -Ofast
+# -ftrapv
+LINKFLAGS += -O3
+
+# different libraries in Ubuntu or manajaró
+ifndef UBUNTU
+UBUNTU=1
+endif
+
+# BLAS, LAPACK
+LINKFLAGS += -llapack -lblas
+# -lopenblas
+ifeq ($(UBUNTU),1)
+# ubuntu
+else
+# on  archlinux
+LINKFLAGS += -lcblas
+endif
+
+# interprocedural optimization
+CXXFLAGS  += -flto
+LINKFLAGS += -flto
+
+#sudo apt install libomp-dev
+# OpenMP
+CXXFLAGS += -fopenmp
+LINKFLAGS += -fopenmp
+
+#   very good check
+# http://clang.llvm.org/extra/clang-tidy/
+#   good check, see:  http://llvm.org/docs/CodingStandards.html#include-style
+SWITCH_OFF=,-readability-magic-numbers,-readability-redundant-control-flow,-readability-redundant-member-init
+SWITCH_OFF+=,-readability-redundant-member-init,-readability-isolate-declaration
+#READABILITY=,readability*${SWITCH_OFF}
+#TIDYFLAGS = -checks=llvm-*,-llvm-header-guard -header-filter=.* -enable-check-profile -extra-arg="-std=c++17" -extra-arg="-fopenmp"
+TIDYFLAGS = -checks=llvm-*,-llvm-header-guard${READABILITY} -header-filter=.* -enable-check-profile -extra-arg="-std=c++17" -extra-arg="-fopenmp"
+#TIDYFLAGS += -checks='modernize*
+#   ???
+#TIDYFLAGS = -checks='cert*'  -header-filter=.*
+#   MPI checks ??
+#TIDYFLAGS = -checks='mpi*'
+#   ??
+#TIDYFLAGS = -checks='performance*'   -header-filter=.*
+#TIDYFLAGS = -checks='portability-*'  -header-filter=.*
+#TIDYFLAGS = -checks='readability-*'  -header-filter=.*
+
+default: ${PROGRAM}
+
+${PROGRAM}:	${OBJECTS}
+	$(LINKER)  $^  ${LINKFLAGS} -o $@
+
+clean:
+	@rm -f ${PROGRAM} ${OBJECTS}
+
+clean_all:: clean
+	@rm -f *_ *~ *.bak *.log *.out *.tar
+
+codecheck: tidy_check
+tidy_check:
+	clang-tidy ${SOURCES} ${TIDYFLAGS} -- ${SOURCES}
+# see also http://clang-developers.42468.n3.nabble.com/Error-while-trying-to-load-a-compilation-database-td4049722.html
+
+run: clean ${PROGRAM}
+#	time  ./${PROGRAM} ${PARAMS}
+	./${PROGRAM} ${PARAMS}
+
+# tar the current directory
+MY_DIR = `basename ${PWD}`
+tar: clean_all
+	@echo "Tar the directory: " ${MY_DIR}
+	@cd .. ;\
+	tar cf ${MY_DIR}.tar ${MY_DIR} *default.mk ;\
+	cd ${MY_DIR}
+# 	tar cf `basename ${PWD}`.tar *
+
+doc:
+	doxygen Doxyfile
+
+#########################################################################
+
+.cpp.o:
+	$(CXX) -c $(CXXFLAGS) -o $@ $<
+
+.c.o:
+	$(CC) -c $(CFLAGS) -o $@ $<
+
+.f.o:
+	$(F77) -c $(FFLAGS) -o $@ $<
+
+##################################################################################################
+#    some tools
+# Cache behaviour (CXXFLAGS += -g  tracks down to source lines; no -pg in linkflags)
+cache: ${PROGRAM}
+	valgrind --tool=callgrind --simulate-cache=yes ./$^  ${PARAMS}
+#	kcachegrind callgrind.out.<pid> &
+	kcachegrind `ls -1tr  callgrind.out.* |tail -1`
+
+# Check for wrong memory accesses, memory leaks, ...
+# use smaller data sets
+mem: ${PROGRAM}
+	valgrind -v --leak-check=yes --tool=memcheck --undef-value-errors=yes --track-origins=yes --log-file=$^.addr.out --show-reachable=yes ./$^  ${PARAMS}
+
+#  Simple run time profiling of your code
+#  CXXFLAGS += -g -pg
+#  LINKFLAGS += -pg
+prof: ${PROGRAM}
+	perf record ./$^  ${PARAMS}
+	perf report
+#	gprof -b ./$^ > gp.out
+#	kprof -f gp.out -p gprof &
+
+codecheck: tidy_check
diff --git a/Sheet5/GCC_default.mk b/Sheet5/GCC_default.mk
new file mode 100644
index 0000000..bb0367e
--- /dev/null
+++ b/Sheet5/GCC_default.mk
@@ -0,0 +1,182 @@
+# Basic Defintions for using GNU-compiler suite sequentially
+# requires setting of COMPILER=GCC_
+
+CC	= gcc
+CXX     = g++
+F77	= gfortran
+LINKER  = ${CXX}
+
+WARNINGS = -Wall -pedantic -Wextra -Weffc++ -Woverloaded-virtual -Wfloat-equal -Wshadow \
+           -Wredundant-decls -Winline -fmax-errors=1
+#  -Wunreachable-code
+CXXFLAGS += -ffast-math -O3 -march=native -std=c++20 ${WARNINGS}
+#CXXFLAGS += -Ofast -funroll-all-loops -std=c++17 ${WARNINGS}
+#-msse3
+# -ftree-vectorizer-verbose=2  -DNDEBUG
+# -ftree-vectorizer-verbose=5
+# -ftree-vectorize -fdump-tree-vect-blocks=foo.dump  -fdump-tree-pre=stderr
+
+# CFLAGS	= -ffast-math -O3 -DNDEBUG -msse3 -fopenmp -fdump-tree-vect-details
+# CFLAGS	= -ffast-math -O3 -funroll-loops -DNDEBUG -msse3 -fopenmp -ftree-vectorizer-verbose=2
+# #CFLAGS	= -ffast-math -O3 -DNDEBUG -msse3 -fopenmp
+# FFLAGS	= -ffast-math -O3 -DNDEBUG -msse3 -fopenmp
+# LFLAGS  = -ffast-math -O3 -DNDEBUG -msse3 -fopenmp
+LINKFLAGS   += -O3
+
+#architecture
+#CPU = -march=znver2
+CXXFLAGS  += ${CPU}
+LINKFLAGS += ${CPU}
+
+# different libraries in Ubuntu or manajaró
+ifndef UBUNTU
+UBUNTU=1
+endif
+
+# BLAS, LAPACK
+ifeq ($(UBUNTU),1)
+LINKFLAGS += -llapack -lblas
+# -lopenblas
+else
+# on  archlinux
+LINKFLAGS += -llapack -lopenblas -lcblas
+endif
+
+# interprocedural optimization
+CXXFLAGS  += -flto
+LINKFLAGS += -flto
+
+# for debugging purpose (save code)
+# -fsanitize=leak         # only one out the three can be used
+# -fsanitize=address
+# -fsanitize=thread
+SANITARY =  -fsanitize=address  -fsanitize=undefined -fsanitize=null -fsanitize=return \
+ -fsanitize=bounds -fsanitize=alignment -fsanitize=float-divide-by-zero -fsanitize=float-cast-overflow \
+ -fsanitize=bool -fsanitize=enum -fsanitize=vptr
+#CXXFLAGS  += ${SANITARY}
+#LINKFLAGS += ${SANITARY}
+
+# OpenMP
+CXXFLAGS += -fopenmp
+LINKFLAGS += -fopenmp
+
+default: ${PROGRAM}
+
+${PROGRAM}:	${OBJECTS}
+	$(LINKER)  $^  ${LINKFLAGS} -o $@
+
+clean:
+	@rm -f ${PROGRAM} ${OBJECTS}
+
+clean_all:: clean
+	-@rm -f *_ *~ *.bak *.log *.out *.tar *.orig *.optrpt
+	-@rm -rf html
+
+run: clean ${PROGRAM}
+#run: ${PROGRAM}
+#	time  ./${PROGRAM} ${PARAMS}
+	./${PROGRAM} ${PARAMS}
+
+# tar the current directory
+MY_DIR = `basename ${PWD}`
+tar: clean_all
+	@echo "Tar the directory: " ${MY_DIR}
+	@cd .. ;\
+	tar cf ${MY_DIR}.tar ${MY_DIR} *default.mk ;\
+	cd ${MY_DIR}
+# 	tar cf `basename ${PWD}`.tar *
+#find . -size +10M > large_files
+#--exclude-from ${MY_DIR}/large_files
+
+zip: clean
+	@echo "Zip the directory: " ${MY_DIR}
+	@cd .. ;\
+	zip -r ${MY_DIR}.zip ${MY_DIR} *default.mk ;\
+	cd ${MY_DIR}
+
+doc:
+	doxygen Doxyfile
+
+#########################################################################
+.SUFFIXES: .f90
+
+.cpp.o:
+	$(CXX) -c $(CXXFLAGS) -o $@ $<
+#	$(CXX) -c $(CXXFLAGS) -o $@ $<  2>&1 | tee -a $<.log 
+#	$(CXX) -c $(CXXFLAGS) -o $@ $<  2>&1 | tee -a $(<:.cpp=.log)
+
+.c.o:
+	$(CC) -c $(CFLAGS) -o $@ $<
+
+.f.o:
+	$(F77) -c $(FFLAGS) -o $@ $<
+
+.f90.o:
+	$(F77) -c $(FFLAGS) -o $@ $<
+
+##################################################################################################
+#    some tools
+# Cache behaviour (CXXFLAGS += -g  tracks down to source lines; no -pg in linkflags)
+cache: ${PROGRAM}
+	valgrind --tool=callgrind --simulate-cache=yes ./$^  ${PARAMS}
+#	kcachegrind callgrind.out.<pid> &
+	kcachegrind `ls -1tr  callgrind.out.* |tail -1`
+
+# Check for wrong memory accesses, memory leaks, ...
+# use smaller data sets
+# no "-pg"  in compile/link options
+mem: ${PROGRAM}
+	valgrind -v --leak-check=yes --tool=memcheck --undef-value-errors=yes --track-origins=yes --log-file=$^.addr.out --show-reachable=yes ./$^  ${PARAMS}
+# Graphical interface
+# valkyrie
+
+#  Simple run time profiling of your code
+#  CXXFLAGS += -g -pg
+#  LINKFLAGS += -pg
+prof: ${PROGRAM}
+	perf record ./$^  ${PARAMS}
+	perf report
+#	gprof -b ./$^ > gp.out
+#	kprof -f gp.out -p gprof &
+
+#  perf in Ubuntu 20.04:   https://www.howtoforge.com/how-to-install-perf-performance-analysis-tool-on-ubuntu-20-04/
+#  * install 
+#  * sudo vi /etc/sysctl.conf
+#                add   kernel.perf_event_paranoid = 0
+
+#Trace your heap:
+#> heaptrack ./main.GCC_
+#> heaptrack_gui heaptrack.main.GCC_.<pid>.gz
+heap: ${PROGRAM}
+	heaptrack ./$^  ${PARAMS} 11
+	heaptrack_gui  `ls -1tr  heaptrack.$^.* |tail -1` &
+
+codecheck: $(SOURCES)
+	cppcheck --enable=all --inconclusive --std=c++17 -I${CUDA_INC} --suppress=missingIncludeSystem $^
+
+
+########################################################################
+#  get the detailed  status of all optimization flags
+info:
+	echo "detailed  status of all optimization flags"
+	$(CXX) --version
+	$(CXX) -Q $(CXXFLAGS) --help=optimizers
+	lscpu
+	inxi -C
+	lstopo
+
+# Excellent hardware info
+#	hardinfo
+# Life monitoring of CPU frequency etc.
+#	sudo i7z
+
+# Memory  consumption
+#	vmstat -at -SM 3
+#	xfce4-taskmanager
+
+
+# https://www.tecmint.com/check-linux-cpu-information/
+#https://www.tecmint.com/monitor-cpu-and-gpu-temperature-in-ubuntu/
+
+# Debugging:
+# https://wiki.archlinux.org/index.php/Debugging
diff --git a/Sheet5/Makefile b/Sheet5/Makefile
new file mode 100644
index 0000000..bda1dad
--- /dev/null
+++ b/Sheet5/Makefile
@@ -0,0 +1,30 @@
+#
+# use GNU-Compiler tools
+COMPILER=GCC_
+# alternatively from the shell
+# export COMPILER=GCC_
+# or, alternatively from the shell
+# make COMPILER=GCC_
+
+# use Intel compilers
+#COMPILER=ICC_
+
+# use PGI compilers
+# COMPILER=PGI_
+EX=Ex1
+
+SOURCES = main${EX}.cpp mylib.cpp bench_funcs.cpp
+OBJECTS = $(SOURCES:.cpp=.o)
+
+PROGRAM	= main.${COMPILER}
+
+# uncomment the next to lines for debugging and detailed performance analysis
+CXXFLAGS += -g
+LINKFLAGS += -g
+# do not use -pg with PGI compilers
+
+ifndef COMPILER
+  COMPILER=GCC_
+endif
+
+include ${COMPILER}default.mk