Merge branch 'test_dev' into cmake

cmake
Luca Pepè Sciarria 11 months ago
commit c47e691d44

1
.gitignore vendored

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*.a
*.o
*.mod
*.mtx
*.smod
*~

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# Computational Routines Test
This is a directory containing all the tests done in order to analyze the correctness of the computational routines present in PSBLAS [[3]](#psblas).
## Test Environment
These tests are developed using a linux environment, in particular Rocky Linux 9.5 (Blue Onyx).
The compiler used is:
- gnu 12.2.1
The necessary dependnces are:
- mpich 4.2.2
- PSBLAS 3.9
- CUDA 12.5
## Test Approach
In order to check wheter each kernel computation is correct or not, it was taken into account a simple approach resported in [[1]](#testing): the kernels are excecuted both in single $y_{s}$ and double precision $y_{d}$. The difference between the two results $\Delta y$ should not exceed the machine epsilon of the single precision floating point representation. This quantity is identified as the unit roundoff $u$. In this the IEEE floating point representation we have $$u = 2^-24 \approx 5.96 \cdot 10^{-8}$$ and therefore $$\Delta y = y_d - y_s \leq u$$ as stated in Highman in his book [[2]](#accuracy). It is also important to note that $\Delta y$ is a double precision floating point number, since it should be able to detect an higher precision with respect to a single precision representation.
The innovative approach introduced in this test suite is to have a theoretical results showing us the correctness of the double precision implementation. In fact, the double precision computation is used as validation result for the single precision one, but no assumption of correctness were done before. In this work, double precision computations are validated using a heuristic approach based on the number $p$ of significand digits that can be estimated using the $\gamma_n = \frac{nu}{1-nu}$ worst case constant known from Higman [[2]](#accuracy) in order to have an upper bound to the number of significand digits. Since this approach is kernel specific, see each test directory to see how this idea is applied to each routine.
## Directory description
Each directory has the name of the computational kernel routines described in the documentation of the version 3.9 of the PSBLAS library. In each directory there are different files and directories:
- parallel/
- serial/
- vectors/
- autotest.sh
- Makefile
- &lt;routine_name&gt;.f90
- psb_&lt;routine_name&gt;_test.f90
- README.md
## Routines
In this test suite were considered only computational routines implemented by PSBLAS, according to the version 3.9 of the documentation. In the following table are reported all the kernels, their implementation and wheter or not they were tested yet.
|**Kernel**| **PSBLAS Subroutine**|**Description**|**Test**|
| ------------------------------- | :--------------------------: | ---------------------------------------------------------------------- | :---------------: |
|**General Dense Matrix Sum**| `psb_geaxpby`| This subroutine is an interface to the computational kernel for dense matrix sum:$$Y \leftarrow \alpha X + \beta Y$$|Yes ✅|
| **Dot product**|`psb_gedot`|This function computes dot product between two vectors x and y.$$dot \leftarrow x^T y$$If x and y are real vectors it computes dot-product as:$$dot \leftarrow x^H y$$|Work in progress :hammer_and_wrench:|
| **Generalized Dot Product** |`psb_gedots`|This subroutine computes a series of dot products among the columns of two dense matrices x and y:$$res(i) \leftarrow x(:,i)^T y(:,i)$$If the matrices are complex, then the usual convention applies, i.e. the conjugate transpose of x is used. If x and y are of rank one, then res is a scalar, else it is a rank one array.|No ❌|
|**Infinity-Norm of Vector**|`psb_normi`/`psb_geamax`|This function computes the infinity-norm of a vector x. If x is a real vector it computes infinity norm as:$$amax \leftarrow max \mid x_i \mid$$else if x is a complex vector then it computes the infinity-norm as:$$amax \leftarrow max(\mid re(x_i) \mid + \mid im(x_i) \mid)$$|No ❌|
|**Generalized Infinity Norm**|`psb_geamaxs`|This subroutine computes a series of infinity norms on the columns of a dense matrix x:$$res(i) \leftarrow max_k \mid x(k,i) \mid$$| No ❌ |
| **1-Norm of Vector**| `psb_norm1` / `psb_geasums`|This function computes the 1-norm of a vector x. If x is a real vector it computes 1-norm as:$$asum \leftarrow \mid \mid x_i \mid \mid$$else if x is a complex vector then it computes 1-norm as:$$asum \leftarrow \mid \mid re(x) \mid \mid_1 + \mid \mid im(x) \mid \mid_1$$|No ❌|
|**Generalized 1-Norm of Vector**|`psb_geasums`|This subroutine computes a series of 1-norms on the columns of a dense matrix x:$$res(i) \leftarrow max_k \mid x(k,i) \mid$$This function computes the 1-norm of a vector x. If x is a real vector it computes 1-norm as:$$res(i) \leftarrow \mid \mid x_i \mid \mid$$else if x is a complex vector then it computes 1-norm as:$$res(i) \leftarrow \mid \mid re(x) \mid \mid_\ + \mid \mid im(x) \mid \mid_1$$|No ❌|
| **2-Norm of Vector**|`psb_norm2` / `psb_genrm2`| This function computes the 2-norm of a vector x. If x is a real vector it computes 2-norm as:$$nrm2 \leftarrow \sqrt{x^T x}$$else if x is a complex vector then it computes 2-norm as:$$nrm2 \leftarrow \sqrt{x^H x}$$|No ❌|
|**Generalized 2-Norm of Vector**|`psb_genrm2s` / `psb_spnrm1` |This subroutine computes a series of 2-norms on the columns of a dense matrix x:$$res(i) \leftarrow \mid \mid x(:,i) \mid \mid_2$$|No ❌|
|**1-Norm of Sparse Matrix**|`psb_norm1`|This function computes the 1-norm of a matrix A:$$nrm1 \leftarrow \mid \mid A \mid \mid_1$$where A represents the global matrix A|No ❌|
|**Infinity Norm of Sparse Matrix**|`psb_normi` / `psb_spnrmi`|This function computes the infinity-norm of a matrix A:$$nrmi \leftarrow \mid \mid A \mid \mid_{\infty}$$where: A represents the global matrix A|No ❌|
|**Sparse Matrix by Dense Matrix Product**| `psb_spmm`|This subroutine computes the Sparse Matrix by Dense Matrix Product:$$y \leftarrow \alpha A x + \beta y$$$$y \leftarrow \alpha A^T x + \beta y$$$$y \leftarrow \alpha A^H x + \beta y$$where: <br> x is the global dense matrix x_{:,:} <br> y is the global dense matrix y_{:,:} <br> A is the global sparse matrix A|Work in progress :hammer_and_wrench:|
|**Triangular System Solve**|`psb_spsm`|This subroutine computes the Triangular System Solve:$$y \leftarrow \alpha T^{-1} x + \beta y$$$$y \leftarrow \alpha D^{-1} x + \beta y$$$$y \leftarrow \alpha T^{-1} D x + \beta y$$$$y \leftarrow \alpha T^{-T} x + \beta y$$$$y \leftarrow \alpha D T^{-T} x + \beta y$$$$y \leftarrow \alpha T^{-T} D x + \beta y$$$$y \leftarrow \alpha T^{-H} x + \beta y$$$$y \leftarrow \alpha D T^{-H} x + \beta y$$$$y \leftarrow \alpha T^{-H} D x + \beta y$$where: <br> x is the global dense matrix x_{:,:} <br> y is the global dense matrix y_{:,:} <br> T is the global sparse block triangular submatrix T <br> D is the scaling diagonal matrix|No ❌|
|**Entrywise Product**|`psb_gemlt`|This function computes the entrywise product between two vectors x and y$$dot \leftarrow x(i)y(i)$$|No ❌|
|**Entrywise Division**|`psb_gediv`|This function computes the entrywise division between two vectors x and y$$div \leftarrow \frac{x(i)}{y(i)}$$|No ❌|
|**Entrywise Inversion**|`psb_geinv`|This function computes the entrywise inverse of a vector x and puts it into y$$inv \leftarrow \frac{1}{x(i)}$$|No ❌|
## TODO
- Merge all the output logs
- Finish the directories description
- Check memory occupancy of parallel/ serial/ and vectors/ directories (Maybe not the best way for lots of rputines?)
## Questions
- Is it correct to use psb_gather even for a single process running?
- Is it correct to shift in 0,xxxx type of notation to compare with the correct number of significand digits?
## References
<a id="testing">[1].</a> Higham, Nicholas J. Testing linear algebra software. Springer US, 1997
<a id="accuracy">[2].</a> Higham, Nicholas J. Accuracy and stability of numerical algorithms. Society for industrial and applied mathematics, 2002.
<a id="psblas">[3],</a> Filippone, Salvatore, and Michele Colajanni. "PSBLAS: A library for parallel linear algebra computation on sparse matrices." ACM Transactions on Mathematical Software (TOMS) 26.4 (2000): 527-550.

@ -0,0 +1,42 @@
INSTALLDIR=../../..
INCDIR=$(INSTALLDIR)/include/
MODDIR=$(INSTALLDIR)/modules/
include $(INCDIR)/Make.inc.psblas
#
# Libraries used
#
LIBDIR = $(INSTALLDIR)/lib/
PSBLAS_LIB = -L$(LIBDIR) -lpsb_util -lpsb_base
LDLIBS = $(PSBLDLIBS)
FINCLUDES=$(FMFLAG)$(MODDIR) $(FMFLAG).
EXEDIR=./runs
GREEN=\033[0;32m
RED=\033[0;31m
BLUE=\033[0;34m
YELLOW=\033[33m
END_COLOUR=\033[0m
all: runsd psb_geaxpby_test
@printf "$(GREEN)[INFO]\t Compilation success!$(END_COLOUR)\n"
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@printf "$(BLUE)[INFO]\t Build directory $(EXEDIR) correctly initialized$(END_COLOUR)\n"
psb_geaxpby_test:
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clean:
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.PHONY: all runsd clean

@ -0,0 +1,62 @@
# Introduction
This is a directory developed by Luca Pepè Sciarria and Simone Staccone froma Tor Vergata University to start to create some unit tests for PSBLAS 3.9, in particular for ```psb_geaxpby``` routine.
## Getting started
Steps to reproduce the tests:
- Compile the code using ``` make ``` (Optional)
- Launch the script ./autotest.sh or with source ./autotest.sh if you want to add modules to the .bashrc file permenently.
- Check the output log file psblas_geaxpby_test.log to collect results
NOTE: If the code is changed and a new compilation is needed to show the changes, the autotest.sh script isn't aware of this scenario, therefore it is necessary to manually recompile the code.
## Test Suite
### Overall Analysys
The ```psb_geaxpby```. The signature of the function is:
```fortran
call psb_geaxpby(alpha, x, beta, y, desc_a, info)
```
### Parameters Values
**x** vectors are located in the vectors/ directory. They are generated randomly using the same seed and then saved on different files based on their characteristics. The size of the vector is choosen accordingly to the size of the matrix column space considered for the single test instance.
|Vector|File Name|Coefficients|Coefficients Description|
|:-:|:-:|:-:|:-:|
|$x_1$|x1.txt|$x_i> 0, \forall i$|Positive coefficients|
|$x_2$|x2.txt|$x_i < 0, \forall i$|Negative coefficients
|$x_3$|x3.txt|$x_i \ne 0, \forall i$|Random coefficients
|$x_4$|x4.txt|$x_i = 0, \forall i$|Null coefficients
**y** vectors are located in the vectors/ directory. They are generated randomly using the same seed and then saved on different files based on their characteristics. The size of the vector is choosen accordingly to the size of the matrix rows space considered for the single test instance.
|Vector|File Name|Coefficients|Coefficients Description|
|:-:|:-:|:-:|:-:|
|$y_1$|y1.txt|$y_i> 0, \forall i$|Positive coefficients|
|$y_2$|y2.txt|$y_i < 0, \forall i$|Negative coefficients
|$y_3$|y3.txt|$y_i \ne 0, \forall i$|Random coefficients
|$y_4$|y4.txt|$y_i = 0, \forall i$|Null coefficients
**$\alpha$**
|$\alpha$|Value|Coefficients Description|
|:-:|:-:|:-:|
|$\alpha_1$|1.0|Positive value|
|$\alpha_2$|-1.0|Negative value|
|$\alpha_3$|0.0|Null value|
**$\beta$**
|$\alpha$|Value|Coefficients Description|
|:-:|:-:|:-:|
|$\beta_1$|1.0|Positive value|
|$\beta_2$|-1.0|Negative value|
|$\beta_3$|0.0|Null value|
## Output
The ouput files generated by the test are automatically compared by the autotest.sh script, but if it is needed to manually run the test here it is the naming convenction used.
The results of the computation will be saved on different files based on the instance of the test considered. In particular the naming conventiona format the output file as sol_x#_y#_a#_b#.mtx, where each # is a number choosen w.r.t. the test instance. (Ex. sol_x1_y1_a1_b1.mtx is the solution computed using the first x vector file , the first y vector file, alpha = 1.0 and beta = 1.0). Moreover, the files will be saved in the serial/ directory if the program is launched using 1 process or in parrallel/ directory if the program is launched with more than one process.
## TODO
- Add computation with broken descriptor and catch the errore result
- Test using complex data
- Try multiple distributions
- Try using a matrix instead of a vector

@ -0,0 +1,60 @@
#!/bin/bash
# Variables definition
dir1="serial"
dir2="parallel"
log_file_name="psblas_geaxpby_test.log"
num_procs=$(nproc)
# Define color codes
GREEN="\033[0;32m"
RED="\033[0;31m"
BLUE="\033[0;34m"
YELLOW="\033[33m"
RESET="\033[0m"
# Check if the executable ELF file exists
if [ ! -f "./runs/psb_geaxpby_test" ]; then
echo -e "${YELLOW}[WARNING] Executable not found. Running make...${RESET}"
make
if [ ! -f "./runs/psb_geaxpby_test" ]; then
echo -e "${RED}[ERROR] Failed to create executable. Check make command.${RESET}"
fi
else
echo -e "${BLUE}[INFO]\t The executable already exists. Skipping the make process.${RESET}"
fi
# Excecute tests and save results
echo -e "${BLUE}[INFO]\t Running the PSBLAS psb_geaxpby test...${RESET}"
echo ""
echo -e "${BLUE}[INFO]\t Starting single process computation${RESET}"
mpirun -np 1 ./runs/psb_geaxpby_test
echo -e "${BLUE}[INFO]\t Single process computation terminated correctly${RESET}"
echo ""
echo -e "${BLUE}[INFO]\t Starting $num_procs processes computation${RESET}"
mpirun -np $num_procs ./runs/psb_geaxpby_test
echo -e "${BLUE}[INFO]\t Multiple processes computation terminated correctly${RESET}"
echo "" >> ${log_file_name}
# Iterate through files in the first directory
for file1 in "$dir1"/*; do
filename=$(basename "$file1") # Extract the filename
file2="$dir2/$filename" # Construct the path for the second directory
# Check if the file exists in the second directory
if [ -f "$file2" ]; then
diff_count=$(diff "$file1" "$file2" | wc -l) # Compare the files
echo "Comparison between $file1 and $file2: $diff_count differences" >> ${log_file_name}
# echo "Comparing $file1 and $file2: $diff_count"
else
echo -e "${RED}[ERROR] File $filename does not exist in $dir2${RESET}"
fi
done
echo -e "${BLUE}[INFO]\t PSBLAS psb_geaxpby test succesfully completed.${RESET}"

@ -0,0 +1,201 @@
program main
use psb_geaxpby_test
use psb_base_mod
implicit none
! MPI variables
integer(psb_ipk_) :: my_rank, np
! Communicator variable
type(psb_ctxt_type) :: ctxt
! parameters array
character(len=64) :: x(4),y(4)
real(psb_dpk_) :: alpha(3), beta(3)
integer(psb_ipk_) :: arr_size
integer(psb_ipk_) :: tests_number, count
! cycle indexes variables
integer(psb_ipk_) :: i,j,k,h,l
integer(psb_ipk_) :: info, ret, unit
! time stats variables
character(len=8) :: date ! YYYYMMDD
character(len=10) :: time ! HHMMSS.sss
character(len=5) :: zones ! Time zone
integer :: values(8)
! others
character(len=:), allocatable :: output_file_name
! Initialize parameters
x(1) = "vectors/x1.mtx"
x(2) = "vectors/x2.mtx"
x(3) = "vectors/x3.mtx"
x(4) = "vectors/x4.mtx"
y(1) = "vectors/y1.mtx"
y(2) = "vectors/y2.mtx"
y(3) = "vectors/y3.mtx"
y(4) = "vectors/y4.mtx"
alpha(1) = done
alpha(2) = -done
alpha(3) = dzero
beta(1) = done
beta(2) = -done
beta(3) = dzero
arr_size = 10000
tests_number = size(x) * size(y) * size(alpha) * size(beta)
count = 0
call psb_init(ctxt)
call psb_info(ctxt,my_rank,np)
if(my_rank == psb_root_) then
! Setup logger output
if(np == 1) then
open(newunit=unit, file='psblas_geaxpby_test.log', status='replace', action='write', iostat=info)
else
open(newunit=unit, file='psblas_geaxpby_test.log', status='old', action='write', position='append', iostat=info)
end if
if (info /= 0) then
print *, 'Error opening output file.'
print *, "I/O Status Code:", info
stop
end if
psb_out_unit = unit
write(psb_out_unit,'(A,A)') 'Welcome to PSBLAS version: ',psb_version_string_
write(psb_out_unit,'(A)') 'This is the psb_geaxpby_test sample program'
write(psb_out_unit,'(A,I0)') 'Number of processes used in this computation: ', np
write(psb_out_unit,'(A)') ''
call generate_vectors(arr_size)
end if
call psb_bcast(ctxt,psb_out_unit)
call psb_barrier(ctxt)
if(my_rank == psb_root_) write(*,'(A)') "[INFO] Starting single precision computation..."
do i=1,size(x)
do j=1,size(y)
do k=1,size(alpha)
do h=1,size(beta)
call psb_geaxpby_kernel(x_file=x(i), y_file=y(j), alpha = real(alpha(k),psb_spk_),&
& beta = real(beta(h),psb_spk_), arr_size = arr_size, ctxt = ctxt, ret = ret, &
& output_file_name = output_file_name)
if(my_rank == psb_root_) then
count = count + 1
call date_and_time(date, time, zones, values)
if(ret /= -1) then
! Success formatted output
write(psb_out_unit,'("[", I4.4,"-",I2.2,"-",I2.2," ",I2.2,":",I2.2,":",I2.2,"] ",&
& A,A,A,I0,A,I0,T110,A)') &
& values(1), values(2), values(3), values(5), values(6), values(7), &
& "Generation geaxpby single precision result file ", &
& output_file_name , ' ', count , "/", tests_number, "[OK]"
else
! Fail formatted output
write(psb_out_unit,'("[", I4.4,"-",I2.2,"-",I2.2," ",I2.2,":",I2.2,":",I2.2,"] ",&
& A,A,A,I0,A,I0,T110,A)') &
& values(1), values(2), values(3), values(5), values(6), values(7), &
& "Generation geaxpby single precision result file ", &
& output_file_name , ' ', count , "/", tests_number, "[FAIL]"
goto 9998
end if
end if
call psb_barrier(ctxt)
end do
end do
end do
end do
if(my_rank == psb_root_) write(*,'(A)') "[INFO] Single precision computation completed succesfully!"
if(my_rank == psb_root_) then
write(psb_out_unit, *) ''
count = 0
end if
if(my_rank == psb_root_) write(*,'(A)') "[INFO] Starting double precision check..."
call psb_barrier(ctxt)
! Here double precision comparison should be done
do i=1,size(x)
do j=1,size(y)
do k=1,size(alpha)
do h=1,size(beta)
call psb_geaxpby_check(x_file=x(i), y_file=y(j), alpha = alpha(k), beta = beta(h), &
& arr_size = arr_size, ctxt = ctxt, ret = ret, output_file_name = output_file_name)
if(my_rank == psb_root_) then
count = count + 1
call date_and_time(date, time, zones, values)
if(ret == 0) then
! Success formatted output
write(psb_out_unit,'("[", I4.4,"-",I2.2,"-",I2.2," ",I2.2,":",I2.2,":",I2.2,"] ",&
& A,A,A,I0,A,I0,T110,A)') &
& values(1), values(2), values(3), values(5), values(6), values(7), &
& "Double precision check on file ", &
& output_file_name , ' ', count , "/", tests_number, "[OK]"
else
! Fail formatted output
write(psb_out_unit,'("[", I4.4,"-",I2.2,"-",I2.2," ",I2.2,":",I2.2,":",I2.2,"] ",&
& A,A,A,I0,A,I0,T110,A)') &
& values(1), values(2), values(3), values(5), values(6), values(7), &
& "Double precision check on file ", &
& output_file_name , ' ', count , "/", tests_number, "[FAIL]"
write(psb_out_unit,'(A,I0)') "[ERROR] Error at element ", abs(ret)
write(psb_out_unit,'(A,F10.8)') "Alpha:", alpha(k)
write(psb_out_unit,'(A,F15.8)') "Beta: ", beta(h)
goto 9999
end if
end if
call psb_barrier(ctxt)
end do
end do
end do
end do
if(my_rank == psb_root_) then
write(*,'(A)') "[INFO] Duble precision check completed succesfully!"
close(unit)
end if
call psb_exit(ctxt)
return
9998 continue
if(my_rank == psb_root_) then
close(unit)
write(*,'(A,I0,A,I0,A)') "[ERROR] Error in geaxpby single precision computation ", &
& count, "/", tests_number, " see log file for details"
end if
9999 continue
if(my_rank == psb_root_) then
close(unit)
write(*,'(A,I0,A,I0,A)') "[ERROR] Error in geaxpby double precision check ", &
& count, "/", tests_number, " see log file for details"
end if
call psb_exit(ctxt)
return
end program main

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