title: Parallelisum
#+STARTUP: overview
Dependence
sudo apt install openmpi-bin
sudo apt install libopenmpi-dev
Docker
old note
comands expains
docker images 查看容器 docker pull nginx 1 新增 docker run -d -p 80:80 nginx 2 开始，id， 后台 docker exec -it xxxxxx bash 前台进入， docker commit xxxxxx newname 生成新容器 docker kill -s KILL xxxxxx 关闭
Beispile
sudo docker images
sudo docker pull nginx
sudo docker run -d -p 80:80 nginx -> id:xxxxxxx
sudo docker exec -it -v /....../project:/usr/share/nginx/html xxxxxxx
build in - > local host :80
commands
-
docker pull NAME
-
docker images
-
docker images -a
-
docker run NAME
-
docker run NAME:VERSION
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docker run -d NAME
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docker run -p6000:6379 -d redis
-
docker run -p6000:6379 -d --name redis-older redis
-
docker exec -it ID /bin/bash
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docker exec -it NAME /bin/bash
<!-- -->
-
docker ps
-
docker ps -a2
-
docker start ID
-
docker stop ID
-
docker logs ID
discripation
fast delivery easy deploy and scale run more workloads easy management lightweight image No guest OS
-
Disadvanage: can not change kernel
-
Less secure than VM
-
Docker Registry hold Docker Images
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Docker Images create Docker Container(run as instance)
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Docker Container runs applications
-
the shared levels are readonly, and containers communicate with sockets or Restful API
delete
- delete docker
docker ps -a // get dockerid or dockername docker stop Did/Dname docker rm Did/Dname
- delete image docker images // get image id or image name docker rmi Iid/Iname perhaps some none name image should also be rm
- sudo docker rm $(sudo docker ps -aq)
Singularity
build [sandbox]
build target source
source can be singularityfile, dockerhubname, online resource, sandbox simg file, singularity sif file
sudo singularity build singularityfile.sif singularityfile
sudo singularity build singularity.sif docker://dockerhubname
sudo singularity build --sandbox singularityfile.simg singularityfile
sudo singularity build --sandbox singularity.simg docker://dockerhubname
sudo singularity shell singularityfile.simg
sudo singularity shell --writable singularityfile.simg
sudo singularity shell --bind /home/silin/go:/home/go -w --nv centos-7.simg
C/C++ with OpenMP
src compile config
C-h v : org-babel-C-compiler change gcc to gcc -fopenmp
useful libary functions
omp~getthreadnum~
int main(int argc, char* argv[])
{
#pragma omp parallel
{
printf("omp_get_thread_num: %d\n", omp_get_thread_num());
}
}
omp_get_thread_num: 0
omp_get_thread_num: 5
omp_get_thread_num: 3
omp_get_thread_num: 2
omp_get_thread_num: 7
omp_get_thread_num: 6
omp_get_thread_num: 4
omp_get_thread_num: 1
omp~getnumprocs~
int main(int argc, char* argv[])
{
printf("omp_get_num_procs: %d\n", omp_get_num_procs());
return 0;
}
omp_get_num_procs: 8
omp~getnumthreads~
int main(int argc, char* argv[])
{
#pragma omp parallel
printf("omp_get_num_threads: %d\n", omp_get_num_threads());
#pragma omp parallel
#pragma omp master
{
printf("omp_get_num_threads: %d\n", omp_get_num_threads());
}
return 0;
}
omp_get_num_threads: 8
omp_get_num_threads: 8
omp_get_num_threads: 8
omp_get_num_threads: 8
omp_get_num_threads: 8
omp_get_num_threads: 8
omp_get_num_threads: 8
omp_get_num_threads: 8
omp_get_num_threads: 8
omp~setnumthreads~
int main()
{
omp_set_num_threads(4);
printf("%d\n", omp_get_num_threads( ));
#pragma omp parallel
#pragma omp master
{
printf("%d\n", omp_get_num_threads( ));
}
}
1
4
omp~getwtime~
omp~getwtick~
omp~initlock~
omp~getlock~
omp~unsetlock~
omp~testlock~
omp~destroylock~
Constructor
parallel for parallel for sections parallel sections critical single barrier atomic master ordered threadprivate
Subconstructor
parivate firstprivate lastprivate reduce nowait num~threads~ schedule shared ordered copyprivate copyin default
hello world
int main(int argc, char* argv[])
{
#pragma omp parallel
{
printf("Hello world from thread %d\n", omp_get_thread_num());
}
}
Hello world from thread 0
Hello world from thread 1
Hello world from thread 4
Hello world from thread 3
Hello world from thread 5
Hello world from thread 7
Hello world from thread 6
Hello world from thread 2
num~threads~
int main(int argc, char* argv[])
{
#pragma omp parallel num_threads(6)
{
printf("omp_get_num_threads: %d\n", omp_get_num_threads());
}
return 0;
}
omp_get_num_threads: 6
omp_get_num_threads: 6
omp_get_num_threads: 6
omp_get_num_threads: 6
omp_get_num_threads: 6
omp_get_num_threads: 6
for
only works in one thread
int main(int argc, char* argv[])
{
int j = 0;
#pragma omp for
for (j = 0; j < 8; j++){
printf("j = %d, ThreadID = %d\n", j, omp_get_thread_num());
}
return 0;
}
j = 0, ThreadID = 0
j = 1, ThreadID = 0
j = 2, ThreadID = 0
j = 3, ThreadID = 0
j = 4, ThreadID = 0
j = 5, ThreadID = 0
j = 6, ThreadID = 0
j = 7, ThreadID = 0
ordered
int main(int argc, char* argv[])
{
int j = 0;
#pragma omp parallel for ordered
for (j = 0; j < 2; j++){
#pragma omp ordered
{
printf("01 ordered j = %d, ThreadID = %d\n", j, omp_get_thread_num());
}
#pragma omp ordered
{
printf("02 ordered j = %d, ThreadID = %d\n", j, omp_get_thread_num());
}
#pragma omp ordered
{
printf("03 ordered j = %d, ThreadID = %d\n", j, omp_get_thread_num());
}
}
return 0;
}
01 ordered j = 0, ThreadID = 0
02 ordered j = 0, ThreadID = 0
03 ordered j = 0, ThreadID = 0
01 ordered j = 1, ThreadID = 1
02 ordered j = 1, ThreadID = 1
03 ordered j = 1, ThreadID = 1
parallel for
for should work with parallel
int main(int argc, char* argv[])
{
int j = 0;
#pragma omp parallel for
for (j = 0; j < 8; j++){
printf("j = %d, ThreadID = %d\n", j, omp_get_thread_num());
}
return 0;
}
j = 0, ThreadID = 0
j = 1, ThreadID = 1
j = 2, ThreadID = 2
j = 6, ThreadID = 6
j = 5, ThreadID = 5
j = 7, ThreadID = 7
j = 3, ThreadID = 3
j = 4, ThreadID = 4
int main(int argc, char* argv[])
{
int j = 0;
#pragma omp parallel for
for (j = 0; j < 8; j++){
printf("j = %d, ThreadID = %d\n", j, omp_get_thread_num());
}
return 0;
}
j = 7, ThreadID = 7
j = 3, ThreadID = 3
j = 6, ThreadID = 6
j = 2, ThreadID = 2
j = 4, ThreadID = 4
j = 0, ThreadID = 0
j = 1, ThreadID = 1
j = 5, ThreadID = 5
and this can be rewrite as following, for in parallel, but can be multiple for block
int main(int argc, char* argv[])
{
int j = 0;
#pragma omp parallel num_threads(4)
// #pragma omp parallel // EQUAL TO #pragma omp parallel num_threads(8)
{
#pragma omp for
for (j = 0; j <8; j++)
{
printf("j = %d, ThreadID = %d\n", j, omp_get_thread_num());
}
}
return 0;
}
j = 0, ThreadID = 0
j = 1, ThreadID = 0
j = 6, ThreadID = 3
j = 7, ThreadID = 3
j = 2, ThreadID = 1
j = 3, ThreadID = 1
j = 4, ThreadID = 2
j = 5, ThreadID = 2
parallel while
for should work with parallel
int main(int argc, char* argv[])
{
int j = 0;
#pragma omp parallel num_threads(8) shared(j)
while (j < 8){
printf("j = %d, ThreadID = %d\n", j, omp_get_thread_num());
j++;
}
return 0;
}
j = 0, ThreadID = 0
j = 0, ThreadID = 7
j = 0, ThreadID = 3
j = 2, ThreadID = 3
j = 3, ThreadID = 3
j = 4, ThreadID = 3
j = 5, ThreadID = 3
j = 6, ThreadID = 3
j = 7, ThreadID = 3
j = 0, ThreadID = 6
j = 0, ThreadID = 4
j = 0, ThreadID = 1
j = 0, ThreadID = 5
j = 1, ThreadID = 0
j = 0, ThreadID = 2
sections and section
void main(int argc, char *argv)
{
#pragma omp parallel sections
{
#pragma omp section
printf("section 1 ThreadId = %d\n", omp_get_thread_num());
#pragma omp section
printf("section 2 ThreadId = %d\n", omp_get_thread_num());
#pragma omp section
printf("section 3 ThreadId = %d\n", omp_get_thread_num());
#pragma omp section
printf("section 4 ThreadId = %d\n", omp_get_thread_num());
}
}
section 4 ThreadId = 0
section 3 ThreadId = 5
section 2 ThreadId = 3
section 1 ThreadId = 6
another form, parallel and sections can also be separated, and with mulitple sections block but each sections are not paralleled, but concatenated
void main(int argc, char *argv)
{
#pragma omp parallel
{
#pragma omp sections
{
#pragma omp section
printf("section 1 ThreadId = %d\n", omp_get_thread_num());
#pragma omp section
printf("section 2 ThreadId = %d\n", omp_get_thread_num());
#pragma omp section
printf("section 3 ThreadId = %d\n", omp_get_thread_num());
}
#pragma omp sections
{
#pragma omp section
printf("section 1 ThreadId = %d\n", omp_get_thread_num());
#pragma omp section
printf("section 2 ThreadId = %d\n", omp_get_thread_num());
#pragma omp section
printf("section 3 ThreadId = %d\n", omp_get_thread_num());
}
}
}
section 1 ThreadId = 3
section 2 ThreadId = 0
section 3 ThreadId = 4
section 2 ThreadId = 0
section 1 ThreadId = 1
section 3 ThreadId = 6
master
void main(int argc, char *argv)
{
#pragma omp parallel
#pragma omp master
{
printf("I am the master\n");
}
}
I am the master
private
after the block of private for, there are some wired to execute some out of parallelisum
void main(int argc, char *argv)
{
int k = 100;
#pragma omp parallel for private(k)
for ( k=0; k < 8; k++)
{
printf("k=%d\n", k);
}
printf("kkk = %d\n", k);
#pragma omp parallel sections
{
#pragma omp section
printf("kkk = %d\n", k);
}
}
k=6
k=7
k=3
k=2
k=0
k=4
k=5
k=1
kkk = 100
kkk = 100
firstprivate
take the vaiable to Parallelisum, but not influence back
void main(int argc, char *argv)
{
int k = 100;
#pragma omp parallel for firstprivate(k)
for (int i=0; i < 8; i++)
{
k += i;
printf("k=%d\n", k);
}
printf("k out of parall = %d\n", k);
}
k=103
k=107
k=100
k=104
k=106
k=102
k=105
k=101
k out of parall = 100
lastprivate
take the vaiable to Parallelisum, and influence back
void main(int argc, char *argv)
{
int k = 100;
#pragma omp parallel for firstprivate(k) lastprivate(k)
for (int i=0; i < 8; i++)
{
k += i;
printf("k=%d\n", k);
}
printf("k out of parall = %d\n", k);
}
k=100
k=107
k=106
k=102
k=101
k=105
k=103
k=104
k out of parall = 107
shared
void main(int argc, char *argv)
{
int k = 100;
int i = 1;
#pragma omp parallel for shared(k)
for ( i=0; i < 8; i++)
{
printf("k=%d\n", k);
}
}
k=100
k=100
k=100
k=100
k=100
k=100
k=100
k=100
k = 100
reduction
void main(int argc, char *argv)
{
int sum = 0;
int i = 0;
#pragma omp parallel for reduction(+:sum)
for ( i=0; i < 10; i++)
{
printf("omp_get_thread_num: %d\n", omp_get_thread_num());
sum += i;
}
printf("sum is %d\n", sum);
}
omp_get_thread_num: 0
omp_get_thread_num: 0
omp_get_thread_num: 1
omp_get_thread_num: 1
omp_get_thread_num: 7
omp_get_thread_num: 2
omp_get_thread_num: 5
omp_get_thread_num: 4
omp_get_thread_num: 6
omp_get_thread_num: 3
sum is 45
void main(int argc, char *argv)
{
int sum = 0;
int i = 10;
#pragma omp parallel reduction(+:sum)
{
printf("omp_get_thread_num: %d\n", omp_get_thread_num());
sum += i;
}
printf("sum is %d\n", sum);
}
omp_get_thread_num: 0
omp_get_thread_num: 3
omp_get_thread_num: 4
omp_get_thread_num: 2
omp_get_thread_num: 7
omp_get_thread_num: 6
omp_get_thread_num: 5
omp_get_thread_num: 1
sum is 80
default(shared)
void main(int argc, char *argv)
{
int k = 100;
int i = 1;
#pragma omp parallel for default(shared)
for ( i=0; i < 8; i++)
{
printf("k=%d\n", k);
}
}
k=100
k=100
k=100
k=100
k=100
k=100
k=100
k=100
i=1
schedule(static)
all iterations will be equally divied to each thread schedule(static, size): size time iterations will be drived each time
void main(int argc, char *argv)
{
int i = 0;
#pragma omp parallel for schedule(static)
for (i = 0; i < 24 ; i++)
{
printf("i=%d, thread_id=%d\n", i, omp_get_thread_num());
}
}
i=0, thread_id=0
i=14, thread_id=7
i=15, thread_id=7
i=2, thread_id=1
i=12, thread_id=6
i=3, thread_id=1
i=18, thread_id=1
i=8, thread_id=4
i=10, thread_id=5
i=19, thread_id=1
i=9, thread_id=4
i=1, thread_id=0
i=11, thread_id=5
i=16, thread_id=0
i=13, thread_id=6
i=4, thread_id=2
i=6, thread_id=3
i=7, thread_id=3
i=22, thread_id=3
i=23, thread_id=3
i=17, thread_id=0
i=5, thread_id=2
i=20, thread_id=2
i=21, thread_id=2
schedule(dynamic)
all iterations will be dynamically divied to each thread schedule(dynamic, size): size time iterations will be drived each time
void main(int argc, char *argv)
{
int i = 0;
#pragma omp parallel for schedule(dynamic)
for (i = 0; i < 16 ; i++)
{
printf("i=%d, thread_id=%d\n", i, omp_get_thread_num());
}
}
i=7, thread_id=7
i=8, thread_id=7
i=9, thread_id=7
i=10, thread_id=7
i=11, thread_id=7
i=12, thread_id=7
i=13, thread_id=7
i=14, thread_id=7
i=15, thread_id=7
i=0, thread_id=3
i=6, thread_id=1
i=5, thread_id=5
i=1, thread_id=6
i=2, thread_id=2
i=4, thread_id=0
i=3, thread_id=4
schedule(guided)
void main(int argc, char *argv)
{
int i = 0;
#pragma omp parallel for schedule(guided)
for (i = 0; i < 16 ; i++)
{
printf("i=%d, thread_id=%d\n", i, omp_get_thread_num());
}
}
i=8, thread_id=0
i=11, thread_id=7
i=12, thread_id=7
i=13, thread_id=7
i=14, thread_id=7
i=15, thread_id=7
i=6, thread_id=4
i=7, thread_id=4
i=2, thread_id=2
i=3, thread_id=2
i=4, thread_id=6
i=5, thread_id=6
i=9, thread_id=1
i=10, thread_id=5
i=0, thread_id=3
i=1, thread_id=3
C/C++ with mpi
sudo apt install libopenmpi-dev
src compile config
C-h v : org-babel-C-compiler change gcc to mpicc mpirun --use-hwthread-cpus mpirun --host si-u20:8
MPI~COMMWORLD~
#include <stdio.h>
#include <stdlib.h>
#include <mpi.h>
int main(int argc, char* argv[])
{
MPI_Init(&argc, &argv);
int my_rank;
MPI_Comm_rank(MPI_COMM_WORLD, &my_rank);
printf("I am MPI process %d.\n", my_rank);
MPI_Finalize();
return EXIT_SUCCESS;
}
I am MPI process 0.
hello world of processor
#include <mpi.h>
#include <stdio.h>
int main(int argc, char** argv) {
MPI_Init(NULL, NULL);
int world_size;
MPI_Comm_size(MPI_COMM_WORLD, &world_size);
int world_rank;
MPI_Comm_rank(MPI_COMM_WORLD, &world_rank);
char processor_name[MPI_MAX_PROCESSOR_NAME];
int name_len;
MPI_Get_processor_name(processor_name, &name_len);
printf("Hello world from processor %s, rank %d out of %d processors\n",
processor_name, world_rank, world_size);
MPI_Finalize();
}
Hello world from processor silin, rank 0 out of 1 processors
MPI~COMMCREAT~
cd ./babel
mpicc -o mpi_comm_create ./mpi_comm_create.c
mpirun --host silin:6 ./mpi_comm_create
MPI process 4 in global communicator has now rank 1 in new communicator.
MPI process 2 in global communicator has now rank 2 in new communicator.
MPI process 0 in global communicator has now rank 0 in new communicator.
MPI process 5 was not part of any group, thus did not get into a new communicator.
MPI process 1 in global communicator has now rank 1 in new communicator.
MPI process 3 in global communicator has now rank 0 in new communicator.
MPI processes 3 and 4 are in the same new communicator.
MPI processes 0 and 1 and 2 are in the same new communicator.
AllReduce
Python
Multi Thread
pure thread start
import threading
def myfunction(a,b):
print(a*b)
thread1 = threading.Thread(target= myfunction, args=(2,3))
thread2 = threading.Thread(target= myfunction, args=(3,4))
thread1.start()
thread2.start()
thread class
rewrite [[init]{.underline}]{.underline} and run in class, which inherit class threading.Thread, and start it with start()
import threading
import time
class myThread(threading.Thread):
def __init__(self, threadID, name, counter):
threading.Thread.__init__(self)
self.threadID = threadID
self.name = name
self.counter = counter
def run(self):
print("Starting " + self.name)
self.print_time(self.name, 5, self.counter)
print("Exiting" + self.name)
def print_time(self, threadName, counter, delay):
while counter:
time.sleep(delay)
print(f"{threadName}, {time.ctime(time.time())}")
counter -= 1
thread1 = myThread(1, "threadone", 1)
thread2 = myThread(2, "threadtwo", 2)
thread1.start()
thread2.start()
time.sleep(1)
print("Exiting Main Thread.")
Starting threadone
Starting threadtwo
threadone, Tue Jun 7 23:53:02 2022
Exiting Main Thread.
threadtwo, Tue Jun 7 23:53:03 2022
threadone, Tue Jun 7 23:53:03 2022
threadone, Tue Jun 7 23:53:04 2022
threadtwo, Tue Jun 7 23:53:05 2022
threadone, Tue Jun 7 23:53:05 2022
threadone, Tue Jun 7 23:53:06 2022
Exitingthreadone
threadtwo, Tue Jun 7 23:53:07 2022
threadtwo, Tue Jun 7 23:53:09 2022
threadtwo, Tue Jun 7 23:53:11 2022
Exitingthreadtwo
thread with Lock
import threading
import time
myLock = threading.Lock()
class myThread(threading.Thread):
def __init__(self, threadID, name, counter):
threading.Thread.__init__(self)
self.threadID = threadID
self.name = name
self.counter = counter
def run(self):
print("Starting " + self.name)
myLock.acquire()
self.print_time(self.name, 5, self.counter)
myLock.release()
print("Exiting" + self.name)
def print_time(self, threadName, counter, delay):
while counter:
time.sleep(delay)
print(f"{threadName}, {time.ctime(time.time())}")
counter -= 1
thread1 = myThread(1, "threadone", 1)
thread2 = myThread(2, "threadtwo", 2)
thread1.start()
thread2.start()
time.sleep(1)
print("Exiting Main Thread.")
Starting threadone
Starting threadtwo
threadone, Tue Jun 7 23:53:58 2022
Exiting Main Thread.
threadone, Tue Jun 7 23:53:59 2022
threadone, Tue Jun 7 23:54:00 2022
threadone, Tue Jun 7 23:54:01 2022
threadone, Tue Jun 7 23:54:02 2022
Exitingthreadone
threadtwo, Tue Jun 7 23:54:04 2022
threadtwo, Tue Jun 7 23:54:06 2022
threadtwo, Tue Jun 7 23:54:08 2022
threadtwo, Tue Jun 7 23:54:10 2022
threadtwo, Tue Jun 7 23:54:12 2022
Exitingthreadtwo
Multi processing
pure multi process start
import multiprocessing
def myfunction(a,b):
print(a*b)
process1 = multiprocessing.Process(target=myfunction, args=(2,9))
process2 = multiprocessing.Process(target=myfunction, args=(3,4))
process1.start()
process2.start()
18
12
multi process differ from multi threading
import multiprocessing
import threading
import random
def myfunction ():
result.append(random.randint(1,10))
####processing
result = []
process1 = multiprocessing.Process(target=myfunction)
process2 = multiprocessing.Process(target=myfunction)
process1.start()
process2.start()
process1.join()
process2.join()
print("result of multiprocessing", result)
####threading
result = []
thread1 = threading.Thread(target=myfunction)
thread2 = threading.Thread(target=myfunction)
thread1.start()
thread2.start()
thread1.join()
thread2.join()
print("result of multi threading", result)
result of multiprocessing []
result of multi threading [1, 2]
Pool
-
apply
import multiprocessing as mp def myfunction(a, b): return a*b pool = mp.Pool(mp.cpu_count()) result = [ pool.apply(myfunction, args=(a, 2)) for a in range(1, 100) ] pool.close() print(result)[2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 126, 128, 130, 132, 134, 136, 138, 140, 142, 144, 146, 148, 150, 152, 154, 156, 158, 160, 162, 164, 166, 168, 170, 172, 174, 176, 178, 180, 182, 184, 186, 188, 190, 192, 194, 196, 198] -
map
import multiprocessing as mp def myfunction(a): return a*a pool = mp.Pool(mp.cpu_count()) result = pool.map(myfunction, [a for a in range(1, 100)]) pool.close() print(result)[1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400, 441, 484, 529, 576, 625, 676, 729, 784, 841, 900, 961, 1024, 1089, 1156, 1225, 1296, 1369, 1444, 1521, 1600, 1681, 1764, 1849, 1936, 2025, 2116, 2209, 2304, 2401, 2500, 2601, 2704, 2809, 2916, 3025, 3136, 3249, 3364, 3481, 3600, 3721, 3844, 3969, 4096, 4225, 4356, 4489, 4624, 4761, 4900, 5041, 5184, 5329, 5476, 5625, 5776, 5929, 6084, 6241, 6400, 6561, 6724, 6889, 7056, 7225, 7396, 7569, 7744, 7921, 8100, 8281, 8464, 8649, 8836, 9025, 9216, 9409, 9604, 9801] -
starmap
import multiprocessing as mp def myfunction(a, b): return a*b pool = mp.Pool(mp.cpu_count()) result = pool.starmap(myfunction, [(a, 2) for a in range(1, 100)] ) pool.close() print(result)[2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 126, 128, 130, 132, 134, 136, 138, 140, 142, 144, 146, 148, 150, 152, 154, 156, 158, 160, 162, 164, 166, 168, 170, 172, 174, 176, 178, 180, 182, 184, 186, 188, 190, 192, 194, 196, 198] -
apply~async~
import multiprocessing as mp def myfunction(a, b): return a*b pool = mp.Pool(mp.cpu_count()) result = [ pool.apply_async(myfunction, args=(a, 2)) for a in range(1, 100)] result = [r.get() for r in result] pool.close() print(result)[2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 126, 128, 130, 132, 134, 136, 138, 140, 142, 144, 146, 148, 150, 152, 154, 156, 158, 160, 162, 164, 166, 168, 170, 172, 174, 176, 178, 180, 182, 184, 186, 188, 190, 192, 194, 196, 198] -
apply~async~ with callback, must use wait
import multiprocessing as mp results = [] def myfunction(a, b): return a*b def collect_result(result): global results results.append(result) pool = mp.Pool(mp.cpu_count()) for a in range(1, 100): r = pool.apply_async(myfunction, args=(a, 2), callback=collect_result) r.wait() pool.close() print(results)
map
import time
import concurrent.futures
def do_something(n):
print(f"sleeping {n} seconds")
time.sleep(n)
return f"Done {n} seconds sleep"
with concurrent.futures.ProcessPoolExecutor() as executor:
secs = [5,4,3,2,1]
results = executor.map(do_something, secs)
for result in results:
print(result)
sleeping 1 seconds
sleeping 2 seconds
sleeping 3 seconds
sleeping 4 seconds
sleeping 5 seconds
Done 5 seconds sleep
Done 4 seconds sleep
Done 3 seconds sleep
Done 2 seconds sleep
Done 1 seconds sleep
Python with mpi
send & recv
from mpi4py import MPI
comm = MPI.COMM_WORLD
rank = comm.Get_rank()
if rank == 0:
data = {'a': 1, 'b': 2, 'c':'test string'}
comm.send(data,dest=1,tag=11)
elif rank == 1:
data = comm.recv(source=0,tag=11)
print(data)
mpirun -n 2 python3 ./babel/mpi_python_example01.py
{'a': 1, 'b': 2, 'c': 'test string'}
Send & Recv
from mpi4py import MPI
import numpy
comm = MPI.COMM_WORLD
rank = comm.Get_rank()
if rank == 0:
data = numpy.arange(100, dtype=numpy.float)
comm.Send(data,dest=1,tag=11)
elif rank == 1:
data = numpy.empty(100,dtype=numpy.float)
comm.Recv(data, source=0,tag=11)
print(data)
mpirun -n 2 python3 ./babel/mpi_python_example02.py
[ 0. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17.
18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35.
36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53.
54. 55. 56. 57. 58. 59. 60. 61. 62. 63. 64. 65. 66. 67. 68. 69. 70. 71.
72. 73. 74. 75. 76. 77. 78. 79. 80. 81. 82. 83. 84. 85. 86. 87. 88. 89.
90. 91. 92. 93. 94. 95. 96. 97. 98. 99.]
Bcast
with map bcast
from mpi4py import MPI
comm = MPI.COMM_WORLD
rank = comm.Get_rank()
if rank == 0:
data = {'key1' : [7, 2.72, 2+3j], 'key2' : ( 'abc', 'xyz')}
else:
data = None
data = comm.bcast(data, root=0)
print(data)
mpirun -n 3 python3 ./babel/mpi_python_example03.py
{'key1': [7, 2.72, (2+3j)], 'key2': ('abc', 'xyz')}
{'key1': [7, 2.72, (2+3j)], 'key2': ('abc', 'xyz')}
{'key1': [7, 2.72, (2+3j)], 'key2': ('abc', 'xyz')}
with array Bcast
from mpi4py import MPI
import numpy as np
comm = MPI.COMM_WORLD
rank = comm.Get_rank()
if rank == 0:
data = np.arange(100, dtype='i')
else:
data = np.empty(100, dtype='i')
comm.Bcast(data, root=0)
for i in range(100):
assert data[i] == i
mpirun -n 3 python3 ./babel/mpi_python_example07.py
scatter
with number
from mpi4py import MPI
comm = MPI.COMM_WORLD
size = comm.Get_size()
rank = comm.Get_rank()
if rank == 0:
data = [(i+1)**2 for i in range(size)]
else:
data = None
data = comm.scatter(data, root=0)
assert data == (rank+1)**2
mpirun -n 4 python3 ./babel/mpi_python_example04.py
with array
from mpi4py import MPI
import numpy as np
comm = MPI.COMM_WORLD
size = comm.Get_size()
rank = comm.Get_rank()
sendbuf = None
if rank == 0:
sendbuf = np.empty([size, 100], dtype='i')
sendbuf.T[:,:] = range(size)
recvbuf = np.empty(100, dtype='i')
comm.Scatter(sendbuf, recvbuf, root=0)
assert np.allclose(recvbuf, rank)
mpirun --host si-u20:6 python3 ./babel/mpi_python_example08.py
Gather
with number gather
from mpi4py import MPI
comm = MPI.COMM_WORLD
size = comm.Get_size()
rank = comm.Get_rank()
data = (rank+1)**2
data = comm.gather(data, root=0)
if rank == 0:
for i in range(size):
assert data[i] == (i+1)**2
else:
assert data is None
mpirun --host si-u20:8 python3 ./babel/mpi_python_example05.py
8
8
8
8
8
8
8
8
with array Gather
from mpi4py import MPI
import numpy as np
comm = MPI.COMM_WORLD
size = comm.Get_size()
rank = comm.Get_rank()
sendbuf = np.zeros(100, dtype='i') + rank
recvbuf = None
if rank == 0:
recvbuf = np.empty([size, 100], dtype='i')
comm.Gather(sendbuf, recvbuf, root=0)
if rank == 0:
for i in range(size):
assert np.allclose(recvbuf[i,:], i)
mpirun -n 4 python3 ./babel/mpi_python_example09.py
Dynamic Process Management
from mpi4py import MPI
import numpy
import sys
comm = MPI.COMM_SELF.Spawn(sys.executable,
args=['./mpi_python_example_server.py'],
maxprocs=2)
N = numpy.array(100, 'i')
comm.Bcast([N, MPI.INT], root=MPI.ROOT)
PI = numpy.array(0.0, 'd')
comm.Reduce(None, [PI, MPI.DOUBLE],
op=MPI.SUM, root=MPI.ROOT)
print(PI)
comm.Disconnect()
from mpi4py import MPI
import numpy
comm = MPI.Comm.Get_parent()
size = comm.Get_size()
rank = comm.Get_rank()
N = numpy.array(0, dtype='i')
comm.Bcast([N, MPI.INT], root=0)
h = 1.0 / N; s = 0.0
for i in range(rank, N, size):
x = h * (i + 0.5)
s += 4.0 / (1.0 + x**2)
PI = numpy.array(s * h, dtype='d')
comm.Reduce([PI, MPI.DOUBLE], None, op=MPI.SUM, root=0)
comm.Disconnect()
mpirun --host si-u20:4 python3 ./babel/mpi_python_example_client.py
Go
go chan
package main
import (
"fmt"
"time"
)
func main() {
var times int
go func() {
for {
}
}()
go func() {
for {
}
}()
go func() {
for {
}
}()
go func() {
for {
}
}()
go func() {
for {
}
}()
for times = 0; times <= 10; times++ {
fmt.Println("tick", times)
time.Sleep(time.Second)
}
}
package main
import (
"fmt"
"time"
)
func main() {
ch1 := make(chan int)
go func (ch chan int){
for{
select {
case <- ch:
fmt.Println("get it")
default:
fmt.Println("still not")
}
}
}(ch1)
time.Sleep(time.Second)
ch1 <- 2;
}
Go with mpi
cpuNum
package main
import (
"fmt"
"runtime"
)
func main() {
cpuNum := runtime.NumCPU()
fmt.Println("cpu number is :", cpuNum)
runtime.GOMAXPROCS(cpuNum)
}
cpu number is : 8
go build ./babel/go_mpi_cpuNum.go && ./babel/go_mpi_cpuNum
cpu number is : 8
IsOn
package main
import (
"fmt"
mpi "github.com/sbromberger/gompi"
)
func main() {
ison := mpi.IsOn()
if ison {
fmt.Println("ison is on")
} else {
fmt.Println("ison is not on")
}
mpi.Start(true)
ison = mpi.IsOn()
if ison {
fmt.Println("ison is on")
} else {
fmt.Println("ison is not on ")
}
mpi.Stop()
}
cd babel
go mod tidy
go build ./go_mpi_ison.go && ./go_mpi_ison
ison is not on
ison is on
WorldRank
package main
import (
"fmt"
mpi "github.com/sbromberger/gompi"
)
func main() {
mpi.Start(true)
rank := mpi.WorldRank()
fmt.Println("rank is", rank)
mpi.Stop()
}
cd babel
go mod tidy
go build ./go_mpi_WorldRank.go && mpirun --use-hwthread-cpus ./go_mpi_WorldRank
rank is 0
rank is 1
rank is 2
rank is 3
rank is 5
rank is 7
rank is 6
rank is 4
WorldSize
package main
import (
"fmt"
mpi "github.com/sbromberger/gompi"
)
func main() {
mpi.Start(true)
size := mpi.WorldSize()
fmt.Println("rank is", size)
mpi.Stop()
}
cd babel
go mod tidy
go build ./go_mpi_WorldSize.go && mpirun --use-hwthread-cpus ./go_mpi_WorldSize
rank is 8
rank is 8
rank is 8
rank is 8
rank is 8
rank is 8
rank is 8
rank is 8
NewCommunicator
package main
import (
"fmt"
mpi "github.com/sbromberger/gompi"
)
func main() {
mpi.Start(true)
var ranks []int
newComm := mpi.NewCommunicator(ranks)
fmt.Println("newComm.Size() is :", newComm.Size())
fmt.Println("newComm.Rank() is :", newComm.Rank())
mpi.Stop()
}
cd babel
go mod tidy
go build ./go_mpi_NewCommunicator.go && mpirun --use-hwthread-cpus ./go_mpi_NewCommunicator
newComm.Size() is : 8
newComm.Rank() is : 1
newComm.Size() is : 8
newComm.Rank() is : 7
newComm.Size() is : 8
newComm.Rank() is : 2
newComm.Size() is : 8
newComm.Size() is : 8
newComm.Rank() is : 0
newComm.Rank() is : 4
newComm.Size() is : 8
newComm.Rank() is : 3
newComm.Size() is : 8
newComm.Rank() is : 5
newComm.Size() is : 8
newComm.Rank() is : 6
package main
import (
"fmt"
mpi "github.com/sbromberger/gompi"
)
func main() {
mpi.Start(true)
var ranks []int = []int{0,1,2,3}
newComm := mpi.NewCommunicator(ranks)
fmt.Println("newComm.Size() is :", newComm.Size())
fmt.Println("newComm.Rank() is :", newComm.Rank())
mpi.Stop()
}
cd babel
go build ./go_mpi_NewCommunicator_withranks.go && mpirun --host si-u20:4 ./go_mpi_NewCommunicator_withranks
newComm.Size() is : 4
newComm.Rank() is : 0
newComm.Size() is : 4
newComm.Rank() is : 1
newComm.Size() is : 4
newComm.Rank() is : 2
newComm.Size() is : 4
newComm.Rank() is : 3
SendInt32 && RecvInt32
package main
import (
"fmt"
mpi "github.com/sbromberger/gompi"
)
func main() {
mpi.Start(true)
fmt.Println()
var ranks []int
newComm := mpi.NewCommunicator(ranks)
if newComm.Rank() == 0 {
var data int32 = 60
newComm.SendInt32(data, 1, 10)
}
if newComm.Rank() == 1 {
data, _ := newComm.RecvInt32(0, 10)
fmt.Println(data)
}
mpi.Stop()
}
cd babel
go mod tidy
go build ./go_mpi_SendInt32.go
mpirun --use-hwthread-cpus ./go_mpi_SendInt32
60
SendInt32s && RecvInt32s
package main
import (
"fmt"
mpi "github.com/sbromberger/gompi"
)
func main() {
mpi.Start(true)
fmt.Println()
var ranks []int
newComm := mpi.NewCommunicator(ranks)
if newComm.Rank() == 0 {
var data []uint32 = []uint32{1, 2, 3, 4}
newComm.SendUInt32s(data, 1, 10)
}
if newComm.Rank() == 1 {
data, _ := newComm.RecvInt32s(0, 10)
fmt.Println(data)
}
mpi.Stop()
}
cd babel
go mod tidy
go build ./go_mpi_SendUInt32s.go
mpirun --host si:6 ./go_mpi_SendUInt32s
[1 2 3 4]
SendString && RecvString
package main
import (
"fmt"
mpi "github.com/sbromberger/gompi"
)
func main() {
mpi.Start(true)
fmt.Println()
var ranks []int
newComm := mpi.NewCommunicator(ranks)
if newComm.Rank() == 0 {
str1 := "str11"
newComm.SendString("nihao", 1, 11)
newComm.SendString(str1, 1, 10)
}
// better with differ tags, but with the same tags works here also
if newComm.Rank() == 1 {
nihao, _ := newComm.RecvString(0, 11)
str1, _ := newComm.RecvString(0, 10)
fmt.Println(nihao)
fmt.Println(str1)
}
mpi.Stop()
}
cd babel
go mod tidy
go build ./go_mpi_SendString.go
mpirun -n 2 ./go_mpi_SendString
nihao
str11
ReduceInt32s
package main
import (
"fmt"
mpi "github.com/sbromberger/gompi"
)
func main() {
mpi.Start(true)
fmt.Println()
var ranks []int
newComm := mpi.NewCommunicator(ranks)
var dest []int32 = []int32{0, 0, 0, 0}
var send []int32 = []int32{7, 2, 3, 4}
newComm.ReduceInt32s(dest, send, mpi.OpSum, 0)
if newComm.Rank() == 0 {
fmt.Println(dest)
}
mpi.Stop()
}
cd babel
go mod tidy
go build ./go_mpi_ReduceInt32s.go
mpirun -n 4 ./go_mpi_ReduceInt32s
[28 8 12 16]
AllreduceInt64s
package main
import (
"fmt"
mpi "github.com/sbromberger/gompi"
)
func main() {
mpi.Start(true)
var ranks []int
newComm := mpi.NewCommunicator(ranks)
var dest []int64 = []int64{0, 0}
var send []int64 = []int64{20 * int64(newComm.Rank()), 2}
newComm.AllreduceInt64s(dest, send, mpi.OpSum, 0)
if newComm.Rank() == 0 {
fmt.Println(dest)
}
mpi.Stop()
}
cd babel
go mod tidy
go build ./go_mpi_AllreduceInt64s.go
mpirun -n 4 ./go_mpi_AllreduceInt64s
[120 8]
BcastInt64s
package main
import (
"fmt"
mpi "github.com/sbromberger/gompi"
)
func main() {
mpi.Start(true)
var ranks []int
newComm := mpi.NewCommunicator(ranks)
var send []int64 = []int64{10 + int64(newComm.Rank())}
fmt.Printf("process %v now has original value of %v from main process \n", newComm.Rank(), send)
newComm.BcastInt64s(send, 0)
if newComm.Rank() != 0 {
fmt.Printf("process %v now has bordcasted value of %v from main process \n", newComm.Rank(), send)
}
mpi.Stop()
}
cd babel
go mod tidy
go build ./go_mpi_BcastInt64s.go
mpirun -n 4 ./go_mpi_BcastInt64s
process 3 now has original value of [13] from main process
process 1 now has original value of [11] from main process
process 0 now has original value of [10] from main process
process 2 now has original value of [12] from main process
process 1 now has bordcasted value of [10] from main process
process 2 now has bordcasted value of [10] from main process
process 3 now has bordcasted value of [10] from main process
distributed-client
package main
import (
"fmt"
"math/rand"
"time"
mpi "github.com/sbromberger/gompi"
)
func main(){
mpi.Start(true)
var ranks []int
newComm := mpi.NewCommunicator(ranks)
fmt.Println("rank is ", newComm.Rank())
start := []float64{0, 0, 0}
ends := []float64{0, 0, 0}
newComm.BcastFloat64s(start, 0)
if newComm.Rank() != 0 {
for {
for i, x := range start {
start[i] = x+float64(rand.Intn(10))
}
time.Sleep(time.Second)
fmt.Printf("process %v now has value of %v from main process \n", newComm.Rank(), start)
newComm.SendFloat64s(start, 0, newComm.Rank())
start, _ = newComm.RecvFloat64s(0, newComm.Rank())
}
}
if newComm.Rank() == 0 {
go func (){
for {
start, _ := newComm.RecvFloat64s(1, 1)
for i, _ := range start {
start[i] = start[i] * ends[i]
}
newComm.SendFloat64s(start, 1, 1)
}
}()
go func (){
for {
start, _ := newComm.RecvFloat64s(2, 2)
for i, _ := range start {
start[i] = start[i] * ends[i]
}
newComm.SendFloat64s(start, 2, 2)
}
}()
go func (){
for {
start, _ := newComm.RecvFloat64s(3, 3)
for i, _ := range start {
start[i] = start[i] * ends[i]
}
newComm.SendFloat64s(start, 3, 3)
}
}()
}
mpi.Stop()
}
cd babel
go mod tidy
go build ./go_mpi_distributed-client.go
mpirun -n 4 ./go_mpi_distributed-client
Distributed learning server client
package main
import (
"fmt"
"sync"
"time"
mpi "github.com/sbromberger/gompi"
)
func mainn(){
mpi.Start(true)
var ranks []int
newComm := mpi.NewCommunicator(ranks)
start := []float64{float64(newComm.Rank()), float64(newComm.Rank()), float64(newComm.Rank())}
// ends := []float64{0, 0, 0}
var m sync.Mutex
ch1 := make(chan []float64, 3)
ch2 := make(chan []float64, 3)
ch3 := make(chan []float64, 3)
fmt.Printf("Orignal: %v now has value of %v from main process \n", newComm.Rank(), start)
newComm.BcastFloat64s(start, 0)
if newComm.Rank() == 0 {
go func (ch0 chan []float64){
for {
start, _ := newComm.RecvFloat64s(1, 1)
ch0 <- start
}
}(ch1)
go func (ch0 chan []float64){
for {
start, _ := newComm.RecvFloat64s(2, 2)
ch0 <- start;
}
}(ch2)
go func (ch0 chan []float64){
for {
start, _ := newComm.RecvFloat64s(3, 3)
ch0 <- start;
}
}(ch3)
}
func (newComm *mpi.Communicator ) {
for {
select {
case <- ch1:
m.Lock()
data := <- ch1
for i, _ := range start {
start[i] = start[i] * data[i]
}
m.Unlock()
newComm.BcastFloat64s(start, 0)
fmt.Printf("From process %v now has value of %v from main process \n", data, start)
case <- ch2:
m.Lock()
data := <- ch2
for i, _ := range start {
start[i] = start[i] * data[i]
}
m.Unlock()
newComm.BcastFloat64s(start, 0)
fmt.Printf("From process %v now has value of %v from main process \n", data, start)
case <- ch3:
m.Lock()
data := <- ch3
for i, _ := range start {
start[i] = start[i] * data[i]
}
m.Unlock()
newComm.BcastFloat64s(start, 0)
fmt.Printf("From process %v now has value of %v from main process \n", data, start)
default:
}
}
}(newComm)
if newComm.Rank() != 0 {
for {
time.Sleep(time.Second*2)
fmt.Printf("PROCESS: %v now has value of %v from main process \n", newComm.Rank(), start)
for i, x := range start {
start[i] = x+1
}
newComm.SendFloat64s(start, 0, newComm.Rank())
}
}
mpi.Stop()
}
Distributed learning server client one to one
package main
import (
"fmt"
"time"
mpi "github.com/sbromberger/gompi"
)
func main(){
mpi.Start(true)
var ranks []int
newComm := mpi.NewCommunicator(ranks)
ch0 := make(chan int)
start := []float64{float64(newComm.Rank()), float64(newComm.Rank()), float64(newComm.Rank())}
fmt.Printf("Orignal: %v now has value of %v from main process \n", newComm.Rank(), start)
go func (newComm *mpi.Communicator, ch0 chan int) {
time.Sleep(time.Second*1)
for {
select {
case data := <- ch0:
for i, _ := range start {
start[i] = start[i] * float64(data)
}
fmt.Printf("From server: %v now has value of %v from main process \n", newComm.Rank(), start)
newComm.BcastFloat64s(start, 0)
case <- time.After(time.Minute):
fmt.Println("Time out")
}
}
}(newComm, ch0)
if newComm.Rank() == 0 {
go func (ch0 chan int ){
for {
newComm.RecvFloat64s(1, 1)
ch0 <- 1;
}
}(ch0)
}
if newComm.Rank() == 1 {
for {
time.Sleep(time.Second*2)
for i, _ := range start {
start[i] = start[i] + 2
}
fmt.Printf("From client: %v now has value of %v from main process \n", newComm.Rank(), start)
newComm.SendFloat64s(start, 0, newComm.Rank())
}
}
time.Sleep(time.Minute)
mpi.Stop()
}
GPGPU
get variables
#include <stdio.h>
#include <cuda.h>
#include <assert.h>
#include <cuda_runtime.h>
#include <curand_kernel.h>
#define N 32
__global__ void add(
int *dthreadIdx_x,
int *dthreadIdx_y,
int *dthreadIdx_z,
int *dblockIdx_x,
int *dblockIdx_y,
int *dblockIdx_z,
int *dblockDim_x,
int *dblockDim_y,
int *dblockDim_z,
int *dgridDim_x,
int *dgridDim_y,
int *dgridDim_z){
*dthreadIdx_x = threadIdx.x;
*dthreadIdx_y = threadIdx.y;
*dthreadIdx_z = threadIdx.z;
*dblockIdx_x = blockIdx.x;
*dblockIdx_y = blockIdx.y;
*dblockIdx_z = blockIdx.z;
*dblockDim_x = blockDim.x;
*dblockDim_y = blockDim.y;
*dblockDim_z = blockDim.z;
*dgridDim_x = gridDim.x;
*dgridDim_y = gridDim.y;
*dgridDim_z = gridDim.z;
}
int main()
{
int threadIdx_x = 0;
int threadIdx_y = 0;
int threadIdx_z = 0;
int blockIdx_x = 0;
int blockIdx_y = 0;
int blockIdx_z = 0;
int blockDim_x = 0;
int blockDim_y = 0;
int blockDim_z = 0;
int gridDim_x = 0;
int gridDim_y = 0;
int gridDim_z = 0;
int *dthreadIdx_x;
int *dthreadIdx_y;
int *dthreadIdx_z;
int *dblockIdx_x;
int *dblockIdx_y;
int *dblockIdx_z;
int *dblockDim_x;
int *dblockDim_y;
int *dblockDim_z;
int *dgridDim_x;
int *dgridDim_y;
int *dgridDim_z;
cudaMalloc((void **)&dthreadIdx_x, sizeof(int));
cudaMalloc((void **)&dthreadIdx_y, sizeof(int));
cudaMalloc((void **)&dthreadIdx_z, sizeof(int));
cudaMalloc((void **)&dblockIdx_x, sizeof(int));
cudaMalloc((void **)&dblockIdx_y, sizeof(int));
cudaMalloc((void **)&dblockIdx_z, sizeof(int));
cudaMalloc((void **)&dblockDim_x, sizeof(int));
cudaMalloc((void **)&dblockDim_y, sizeof(int));
cudaMalloc((void **)&dblockDim_z, sizeof(int));
cudaMalloc((void **)&dgridDim_x, sizeof(int));
cudaMalloc((void **)&dgridDim_y, sizeof(int));
cudaMalloc((void **)&dgridDim_z, sizeof(int));
dim3 BlockPerGrid(1, 1, 1);
dim3 ThreadsPerBlock(N, N, 1);
add <<< BlockPerGrid, ThreadsPerBlock >>>(
dthreadIdx_x,
dthreadIdx_y,
dthreadIdx_z,
dblockIdx_x,
dblockIdx_y,
dblockIdx_z,
dblockDim_x,
dblockDim_y,
dblockDim_z,
dgridDim_x,
dgridDim_y,
dgridDim_z
);
cudaMemcpy(&threadIdx_x,dthreadIdx_x, sizeof(int), cudaMemcpyDeviceToHost);
printf("threadIdx_x is %d \n", threadIdx_x);
cudaMemcpy(&threadIdx_y,dthreadIdx_y, sizeof(int), cudaMemcpyDeviceToHost);
printf("threadIdx_y is %d \n", threadIdx_y);
cudaMemcpy(&threadIdx_z,dthreadIdx_z, sizeof(int), cudaMemcpyDeviceToHost);
printf("threadIdx_z is %d \n", threadIdx_z);
cudaMemcpy(&blockIdx_x, dblockIdx_x, sizeof(int), cudaMemcpyDeviceToHost);
printf("blockIdx_x is %d \n", blockIdx_x);
cudaMemcpy(&blockIdx_y, dblockIdx_y, sizeof(int), cudaMemcpyDeviceToHost);
printf("blockIdx_y is %d \n", blockIdx_y);
cudaMemcpy(&blockIdx_z, dblockIdx_z, sizeof(int), cudaMemcpyDeviceToHost);
printf("blockIdx_z is %d \n", blockIdx_z);
cudaMemcpy(&blockDim_x, dblockDim_x, sizeof(int), cudaMemcpyDeviceToHost);
printf("blockDim_x is %d \n", blockDim_x);
cudaMemcpy(&blockDim_y, dblockDim_y, sizeof(int), cudaMemcpyDeviceToHost);
printf("blockDim_y is %d \n", blockDim_y);
cudaMemcpy(&blockDim_z, dblockDim_z, sizeof(int), cudaMemcpyDeviceToHost);
printf("blockDim_z is %d \n", blockDim_z);
cudaMemcpy(&gridDim_x, dgridDim_x, sizeof(int), cudaMemcpyDeviceToHost);
printf("gridDim_x is %d \n", gridDim_x);
cudaMemcpy(&gridDim_y, dgridDim_y, sizeof(int), cudaMemcpyDeviceToHost);
printf("gridDim_y is %d \n", gridDim_y);
cudaMemcpy(&gridDim_z, dgridDim_z, sizeof(int), cudaMemcpyDeviceToHost);
printf("gridDim_z is %d \n", gridDim_z);
return 0;
}
cd babel
nvcc gpu_get_variables.cu -o gpu_get_variables
./gpu_get_variables
Addition dim 1
without parallelism
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <assert.h>
#include <cuda.h>
#include <cuda_runtime.h>
#define N 10000000
#define MAX_ERR 1e-6
__global__ void vector_add(float *out, float *a, float *b, int n) {
for(int i = 0; i < n; i ++){
out[i] = a[i] + b[i];
}
}
int main(){
float *a, *b, *out;
float *d_a, *d_b, *d_out;
// Allocate host memory
a = (float*)malloc(sizeof(float) * N);
b = (float*)malloc(sizeof(float) * N);
out = (float*)malloc(sizeof(float) * N);
// Initialize host arrays
for(int i = 0; i < N; i++){
a[i] = 1.0f;
b[i] = 2.0f;
}
// Allocate device memory
cudaMalloc((void**)&d_a, sizeof(float) * N);
cudaMalloc((void**)&d_b, sizeof(float) * N);
cudaMalloc((void**)&d_out, sizeof(float) * N);
// Transfer data from host to device memory
cudaMemcpy(d_a, a, sizeof(float) * N, cudaMemcpyHostToDevice);
cudaMemcpy(d_b, b, sizeof(float) * N, cudaMemcpyHostToDevice);
// Executing kernel
vector_add<<<1,1>>>(d_out, d_a, d_b, N);
// Transfer data back to host memory
cudaMemcpy(out, d_out, sizeof(float) * N, cudaMemcpyDeviceToHost);
// Verification
for(int i = 0; i < N; i++){
assert(fabs(out[i] - a[i] - b[i]) < MAX_ERR);
}
printf("out[0] = %f\n", out[0]);
printf("PASSED\n");
// Deallocate device memory
cudaFree(d_a);
cudaFree(d_b);
cudaFree(d_out);
// Deallocate host memory
free(a);
free(b);
free(out);
}
cd babel
nvcc gpu_vector_add_withoutpara.cu -o gpu_vector_add_withoutpara
./gpu_vector_add_withoutpara
out[0] = 3.000000
PASSED
dim 1, grid 1, block 256 N10000000
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <assert.h>
#include <cuda.h>
#include <cuda_runtime.h>
#define N 10000000
#define MAX_ERR 1e-6
__global__ void vector_add(float *out, float *a, float *b, int n) {
int index = threadIdx.x;
int stride = blockDim.x;
for(int i = index; i < n; i += stride){
out[i] = a[i] + b[i];
}
}
int main(){
float *a, *b, *out;
float *d_a, *d_b, *d_out;
// Allocate host memory
a = (float*)malloc(sizeof(float) * N);
b = (float*)malloc(sizeof(float) * N);
out = (float*)malloc(sizeof(float) * N);
// Initialize host arrays
for(int i = 0; i < N; i++){
a[i] = 1.0f;
b[i] = 2.0f;
}
// Allocate device memory
cudaMalloc((void**)&d_a, sizeof(float) * N);
cudaMalloc((void**)&d_b, sizeof(float) * N);
cudaMalloc((void**)&d_out, sizeof(float) * N);
// Transfer data from host to device memory
cudaMemcpy(d_a, a, sizeof(float) * N, cudaMemcpyHostToDevice);
cudaMemcpy(d_b, b, sizeof(float) * N, cudaMemcpyHostToDevice);
// Executing kernel
vector_add<<<1,256>>>(d_out, d_a, d_b, N);
// Transfer data back to host memory
cudaMemcpy(out, d_out, sizeof(float) * N, cudaMemcpyDeviceToHost);
// Verification
for(int i = 0; i < N; i++){
assert(fabs(out[i] - a[i] - b[i]) < MAX_ERR);
}
printf("PASSED\n");
// Deallocate device memory
cudaFree(d_a);
cudaFree(d_b);
cudaFree(d_out);
// Deallocate host memory
free(a);
free(b);
free(out);
}
cd babel
nvcc gpu_vector_add_dim1_grid1_block256.cu -o gpu_vector_add_dim1_grid1_block256
./gpu_vector_add_dim1_grid1_block256
dim 1, grid 1, block 256 N10000000 with time
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <assert.h>
#include <cuda.h>
#include <cuda_runtime.h>
#define N 10000000
#define MAX_ERR 1e-6
__global__ void vector_add(float *out, float *a, float *b, int n) {
int index = threadIdx.x;
int stride = blockDim.x;
for(int i = index; i < n; i += stride){
out[i] = a[i] + b[i];
}
}
int main(){
float *a, *b, *out;
float *d_a, *d_b, *d_out;
// Allocate host memory
a = (float*)malloc(sizeof(float) * N);
b = (float*)malloc(sizeof(float) * N);
out = (float*)malloc(sizeof(float) * N);
// Initialize host arrays
for(int i = 0; i < N; i++){
a[i] = 1.0f;
b[i] = 2.0f;
}
// Allocate device memory
cudaMalloc((void**)&d_a, sizeof(float) * N);
cudaMalloc((void**)&d_b, sizeof(float) * N);
cudaMalloc((void**)&d_out, sizeof(float) * N);
cudaEvent_t start, stop;
cudaEventCreate(&start);
cudaEventCreate(&stop);
cudaEventRecord(start, 0);
// Transfer data from host to device memory
cudaMemcpy(d_a, a, sizeof(float) * N, cudaMemcpyHostToDevice);
cudaMemcpy(d_b, b, sizeof(float) * N, cudaMemcpyHostToDevice);
// Executing kernel
vector_add<<<1,256>>>(d_out, d_a, d_b, N);
// Transfer data back to host memory
cudaMemcpy(out, d_out, sizeof(float) * N, cudaMemcpyDeviceToHost);
cudaEventRecord(stop, 0);
cudaEventSynchronize(stop);
float elapsedTime;
cudaEventElapsedTime(&elapsedTime, start, stop);
// Verification
for(int i = 0; i < N; i++){
assert(fabs(out[i] - a[i] - b[i]) < MAX_ERR);
}
printf("PASSED with %f ms\n", elapsedTime);
cudaEventDestroy(start);
cudaEventDestroy(stop);
// Deallocate device memory
cudaFree(d_a);
cudaFree(d_b);
cudaFree(d_out);
// Deallocate host memory
free(a);
free(b);
free(out);
}
cd babel
nvcc gpu_vector_add_dim1_grid1_block256_withtime.cu -o gpu_vector_add_dim1_grid1_block256_withtime
./gpu_vector_add_dim1_grid1_block256_withtime
dim 1, grid N, block 1, (N=256)
#include <stdio.h>
#include <cuda.h>
#include <cuda_runtime.h>
#include <curand_kernel.h>
#define N 512
__global__ void add(int *a, int *b, int *c){
int tid = blockIdx.x; // handle the data at this index
if(tid < N)
c[tid] = a[tid] + b[tid];
}
int main()
{
int a[N], b[N], c[N], i;
int *dev_a, *dev_b, *dev_c;
cudaMalloc((void**)&dev_c, N*sizeof(int));
cudaMalloc((void**)&dev_b, N*sizeof(int));
cudaMalloc((void**)&dev_a, N*sizeof(int));
for(i=0; i < N; i++)
{
a[i] = -i;
b[i] = i*i*i;
}
cudaMemcpy(dev_a, a, N*sizeof(int), cudaMemcpyHostToDevice);
cudaMemcpy(dev_b, b, N*sizeof(int), cudaMemcpyHostToDevice);
add <<<N, 1>>>(dev_a, dev_b, dev_c);
cudaMemcpy(c, dev_c, N*sizeof(int), cudaMemcpyDeviceToHost);
for(i=0; i < N; i++)
printf("%d + %d = %d\n", a[i], b[i], c[i]);
cudaFree(dev_c);
cudaFree(dev_b);
cudaFree(dev_a);
return 0;
}
cd babel
nvcc dim1_gridN_block1.cu -o dim1_gridN_block1
./dim1_gridN_block1
0 + 0 = 0
-1 + 1 = 0
-2 + 8 = 6
-3 + 27 = 24
-4 + 64 = 60
-5 + 125 = 120
-6 + 216 = 210
-7 + 343 = 336
-8 + 512 = 504
-9 + 729 = 720
-10 + 1000 = 990
-11 + 1331 = 1320
-12 + 1728 = 1716
-13 + 2197 = 2184
-14 + 2744 = 2730
-15 + 3375 = 3360
-16 + 4096 = 4080
-17 + 4913 = 4896
-18 + 5832 = 5814
-19 + 6859 = 6840
-20 + 8000 = 7980
-21 + 9261 = 9240
-22 + 10648 = 10626
-23 + 12167 = 12144
-24 + 13824 = 13800
-25 + 15625 = 15600
-26 + 17576 = 17550
-27 + 19683 = 19656
-28 + 21952 = 21924
-29 + 24389 = 24360
-30 + 27000 = 26970
-31 + 29791 = 29760
-32 + 32768 = 32736
-33 + 35937 = 35904
-34 + 39304 = 39270
-35 + 42875 = 42840
-36 + 46656 = 46620
-37 + 50653 = 50616
-38 + 54872 = 54834
-39 + 59319 = 59280
-40 + 64000 = 63960
-41 + 68921 = 68880
-42 + 74088 = 74046
-43 + 79507 = 79464
-44 + 85184 = 85140
-45 + 91125 = 91080
-46 + 97336 = 97290
-47 + 103823 = 103776
-48 + 110592 = 110544
-49 + 117649 = 117600
-50 + 125000 = 124950
-51 + 132651 = 132600
-52 + 140608 = 140556
-53 + 148877 = 148824
-54 + 157464 = 157410
-55 + 166375 = 166320
-56 + 175616 = 175560
-57 + 185193 = 185136
-58 + 195112 = 195054
-59 + 205379 = 205320
-60 + 216000 = 215940
-61 + 226981 = 226920
-62 + 238328 = 238266
-63 + 250047 = 249984
-64 + 262144 = 262080
-65 + 274625 = 274560
-66 + 287496 = 287430
-67 + 300763 = 300696
-68 + 314432 = 314364
-69 + 328509 = 328440
-70 + 343000 = 342930
-71 + 357911 = 357840
-72 + 373248 = 373176
-73 + 389017 = 388944
-74 + 405224 = 405150
-75 + 421875 = 421800
-76 + 438976 = 438900
-77 + 456533 = 456456
-78 + 474552 = 474474
-79 + 493039 = 492960
-80 + 512000 = 511920
-81 + 531441 = 531360
-82 + 551368 = 551286
-83 + 571787 = 571704
-84 + 592704 = 592620
-85 + 614125 = 614040
-86 + 636056 = 635970
-87 + 658503 = 658416
-88 + 681472 = 681384
-89 + 704969 = 704880
-90 + 729000 = 728910
-91 + 753571 = 753480
-92 + 778688 = 778596
-93 + 804357 = 804264
-94 + 830584 = 830490
-95 + 857375 = 857280
-96 + 884736 = 884640
-97 + 912673 = 912576
-98 + 941192 = 941094
-99 + 970299 = 970200
-100 + 1000000 = 999900
-101 + 1030301 = 1030200
-102 + 1061208 = 1061106
-103 + 1092727 = 1092624
-104 + 1124864 = 1124760
-105 + 1157625 = 1157520
-106 + 1191016 = 1190910
-107 + 1225043 = 1224936
-108 + 1259712 = 1259604
-109 + 1295029 = 1294920
-110 + 1331000 = 1330890
-111 + 1367631 = 1367520
-112 + 1404928 = 1404816
-113 + 1442897 = 1442784
-114 + 1481544 = 1481430
-115 + 1520875 = 1520760
-116 + 1560896 = 1560780
-117 + 1601613 = 1601496
-118 + 1643032 = 1642914
-119 + 1685159 = 1685040
-120 + 1728000 = 1727880
-121 + 1771561 = 1771440
-122 + 1815848 = 1815726
-123 + 1860867 = 1860744
-124 + 1906624 = 1906500
-125 + 1953125 = 1953000
-126 + 2000376 = 2000250
-127 + 2048383 = 2048256
-128 + 2097152 = 2097024
-129 + 2146689 = 2146560
-130 + 2197000 = 2196870
-131 + 2248091 = 2247960
-132 + 2299968 = 2299836
-133 + 2352637 = 2352504
-134 + 2406104 = 2405970
-135 + 2460375 = 2460240
-136 + 2515456 = 2515320
-137 + 2571353 = 2571216
-138 + 2628072 = 2627934
-139 + 2685619 = 2685480
-140 + 2744000 = 2743860
-141 + 2803221 = 2803080
-142 + 2863288 = 2863146
-143 + 2924207 = 2924064
-144 + 2985984 = 2985840
-145 + 3048625 = 3048480
-146 + 3112136 = 3111990
-147 + 3176523 = 3176376
-148 + 3241792 = 3241644
-149 + 3307949 = 3307800
-150 + 3375000 = 3374850
-151 + 3442951 = 3442800
-152 + 3511808 = 3511656
-153 + 3581577 = 3581424
-154 + 3652264 = 3652110
-155 + 3723875 = 3723720
-156 + 3796416 = 3796260
-157 + 3869893 = 3869736
-158 + 3944312 = 3944154
-159 + 4019679 = 4019520
-160 + 4096000 = 4095840
-161 + 4173281 = 4173120
-162 + 4251528 = 4251366
-163 + 4330747 = 4330584
-164 + 4410944 = 4410780
-165 + 4492125 = 4491960
-166 + 4574296 = 4574130
-167 + 4657463 = 4657296
-168 + 4741632 = 4741464
-169 + 4826809 = 4826640
-170 + 4913000 = 4912830
-171 + 5000211 = 5000040
-172 + 5088448 = 5088276
-173 + 5177717 = 5177544
-174 + 5268024 = 5267850
-175 + 5359375 = 5359200
-176 + 5451776 = 5451600
-177 + 5545233 = 5545056
-178 + 5639752 = 5639574
-179 + 5735339 = 5735160
-180 + 5832000 = 5831820
-181 + 5929741 = 5929560
-182 + 6028568 = 6028386
-183 + 6128487 = 6128304
-184 + 6229504 = 6229320
-185 + 6331625 = 6331440
-186 + 6434856 = 6434670
-187 + 6539203 = 6539016
-188 + 6644672 = 6644484
-189 + 6751269 = 6751080
-190 + 6859000 = 6858810
-191 + 6967871 = 6967680
-192 + 7077888 = 7077696
-193 + 7189057 = 7188864
-194 + 7301384 = 7301190
-195 + 7414875 = 7414680
-196 + 7529536 = 7529340
-197 + 7645373 = 7645176
-198 + 7762392 = 7762194
-199 + 7880599 = 7880400
-200 + 8000000 = 7999800
-201 + 8120601 = 8120400
-202 + 8242408 = 8242206
-203 + 8365427 = 8365224
-204 + 8489664 = 8489460
-205 + 8615125 = 8614920
-206 + 8741816 = 8741610
-207 + 8869743 = 8869536
-208 + 8998912 = 8998704
-209 + 9129329 = 9129120
-210 + 9261000 = 9260790
-211 + 9393931 = 9393720
-212 + 9528128 = 9527916
-213 + 9663597 = 9663384
-214 + 9800344 = 9800130
-215 + 9938375 = 9938160
-216 + 10077696 = 10077480
-217 + 10218313 = 10218096
-218 + 10360232 = 10360014
-219 + 10503459 = 10503240
-220 + 10648000 = 10647780
-221 + 10793861 = 10793640
-222 + 10941048 = 10940826
-223 + 11089567 = 11089344
-224 + 11239424 = 11239200
-225 + 11390625 = 11390400
-226 + 11543176 = 11542950
-227 + 11697083 = 11696856
-228 + 11852352 = 11852124
-229 + 12008989 = 12008760
-230 + 12167000 = 12166770
-231 + 12326391 = 12326160
-232 + 12487168 = 12486936
-233 + 12649337 = 12649104
-234 + 12812904 = 12812670
-235 + 12977875 = 12977640
-236 + 13144256 = 13144020
-237 + 13312053 = 13311816
-238 + 13481272 = 13481034
-239 + 13651919 = 13651680
-240 + 13824000 = 13823760
-241 + 13997521 = 13997280
-242 + 14172488 = 14172246
-243 + 14348907 = 14348664
-244 + 14526784 = 14526540
-245 + 14706125 = 14705880
-246 + 14886936 = 14886690
-247 + 15069223 = 15068976
-248 + 15252992 = 15252744
-249 + 15438249 = 15438000
-250 + 15625000 = 15624750
-251 + 15813251 = 15813000
-252 + 16003008 = 16002756
-253 + 16194277 = 16194024
-254 + 16387064 = 16386810
-255 + 16581375 = 16581120
-256 + 16777216 = 16776960
-257 + 16974593 = 16974336
-258 + 17173512 = 17173254
-259 + 17373979 = 17373720
-260 + 17576000 = 17575740
-261 + 17779581 = 17779320
-262 + 17984728 = 17984466
-263 + 18191447 = 18191184
-264 + 18399744 = 18399480
-265 + 18609625 = 18609360
-266 + 18821096 = 18820830
-267 + 19034163 = 19033896
-268 + 19248832 = 19248564
-269 + 19465109 = 19464840
-270 + 19683000 = 19682730
-271 + 19902511 = 19902240
-272 + 20123648 = 20123376
-273 + 20346417 = 20346144
-274 + 20570824 = 20570550
-275 + 20796875 = 20796600
-276 + 21024576 = 21024300
-277 + 21253933 = 21253656
-278 + 21484952 = 21484674
-279 + 21717639 = 21717360
-280 + 21952000 = 21951720
-281 + 22188041 = 22187760
-282 + 22425768 = 22425486
-283 + 22665187 = 22664904
-284 + 22906304 = 22906020
-285 + 23149125 = 23148840
-286 + 23393656 = 23393370
-287 + 23639903 = 23639616
-288 + 23887872 = 23887584
-289 + 24137569 = 24137280
-290 + 24389000 = 24388710
-291 + 24642171 = 24641880
-292 + 24897088 = 24896796
-293 + 25153757 = 25153464
-294 + 25412184 = 25411890
-295 + 25672375 = 25672080
-296 + 25934336 = 25934040
-297 + 26198073 = 26197776
-298 + 26463592 = 26463294
-299 + 26730899 = 26730600
-300 + 27000000 = 26999700
-301 + 27270901 = 27270600
-302 + 27543608 = 27543306
-303 + 27818127 = 27817824
-304 + 28094464 = 28094160
-305 + 28372625 = 28372320
-306 + 28652616 = 28652310
-307 + 28934443 = 28934136
-308 + 29218112 = 29217804
-309 + 29503629 = 29503320
-310 + 29791000 = 29790690
-311 + 30080231 = 30079920
-312 + 30371328 = 30371016
-313 + 30664297 = 30663984
-314 + 30959144 = 30958830
-315 + 31255875 = 31255560
-316 + 31554496 = 31554180
-317 + 31855013 = 31854696
-318 + 32157432 = 32157114
-319 + 32461759 = 32461440
-320 + 32768000 = 32767680
-321 + 33076161 = 33075840
-322 + 33386248 = 33385926
-323 + 33698267 = 33697944
-324 + 34012224 = 34011900
-325 + 34328125 = 34327800
-326 + 34645976 = 34645650
-327 + 34965783 = 34965456
-328 + 35287552 = 35287224
-329 + 35611289 = 35610960
-330 + 35937000 = 35936670
-331 + 36264691 = 36264360
-332 + 36594368 = 36594036
-333 + 36926037 = 36925704
-334 + 37259704 = 37259370
-335 + 37595375 = 37595040
-336 + 37933056 = 37932720
-337 + 38272753 = 38272416
-338 + 38614472 = 38614134
-339 + 38958219 = 38957880
-340 + 39304000 = 39303660
-341 + 39651821 = 39651480
-342 + 40001688 = 40001346
-343 + 40353607 = 40353264
-344 + 40707584 = 40707240
-345 + 41063625 = 41063280
-346 + 41421736 = 41421390
-347 + 41781923 = 41781576
-348 + 42144192 = 42143844
-349 + 42508549 = 42508200
-350 + 42875000 = 42874650
-351 + 43243551 = 43243200
-352 + 43614208 = 43613856
-353 + 43986977 = 43986624
-354 + 44361864 = 44361510
-355 + 44738875 = 44738520
-356 + 45118016 = 45117660
-357 + 45499293 = 45498936
-358 + 45882712 = 45882354
-359 + 46268279 = 46267920
-360 + 46656000 = 46655640
-361 + 47045881 = 47045520
-362 + 47437928 = 47437566
-363 + 47832147 = 47831784
-364 + 48228544 = 48228180
-365 + 48627125 = 48626760
-366 + 49027896 = 49027530
-367 + 49430863 = 49430496
-368 + 49836032 = 49835664
-369 + 50243409 = 50243040
-370 + 50653000 = 50652630
-371 + 51064811 = 51064440
-372 + 51478848 = 51478476
-373 + 51895117 = 51894744
-374 + 52313624 = 52313250
-375 + 52734375 = 52734000
-376 + 53157376 = 53157000
-377 + 53582633 = 53582256
-378 + 54010152 = 54009774
-379 + 54439939 = 54439560
-380 + 54872000 = 54871620
-381 + 55306341 = 55305960
-382 + 55742968 = 55742586
-383 + 56181887 = 56181504
-384 + 56623104 = 56622720
-385 + 57066625 = 57066240
-386 + 57512456 = 57512070
-387 + 57960603 = 57960216
-388 + 58411072 = 58410684
-389 + 58863869 = 58863480
-390 + 59319000 = 59318610
-391 + 59776471 = 59776080
-392 + 60236288 = 60235896
-393 + 60698457 = 60698064
-394 + 61162984 = 61162590
-395 + 61629875 = 61629480
-396 + 62099136 = 62098740
-397 + 62570773 = 62570376
-398 + 63044792 = 63044394
-399 + 63521199 = 63520800
-400 + 64000000 = 63999600
-401 + 64481201 = 64480800
-402 + 64964808 = 64964406
-403 + 65450827 = 65450424
-404 + 65939264 = 65938860
-405 + 66430125 = 66429720
-406 + 66923416 = 66923010
-407 + 67419143 = 67418736
-408 + 67917312 = 67916904
-409 + 68417929 = 68417520
-410 + 68921000 = 68920590
-411 + 69426531 = 69426120
-412 + 69934528 = 69934116
-413 + 70444997 = 70444584
-414 + 70957944 = 70957530
-415 + 71473375 = 71472960
-416 + 71991296 = 71990880
-417 + 72511713 = 72511296
-418 + 73034632 = 73034214
-419 + 73560059 = 73559640
-420 + 74088000 = 74087580
-421 + 74618461 = 74618040
-422 + 75151448 = 75151026
-423 + 75686967 = 75686544
-424 + 76225024 = 76224600
-425 + 76765625 = 76765200
-426 + 77308776 = 77308350
-427 + 77854483 = 77854056
-428 + 78402752 = 78402324
-429 + 78953589 = 78953160
-430 + 79507000 = 79506570
-431 + 80062991 = 80062560
-432 + 80621568 = 80621136
-433 + 81182737 = 81182304
-434 + 81746504 = 81746070
-435 + 82312875 = 82312440
-436 + 82881856 = 82881420
-437 + 83453453 = 83453016
-438 + 84027672 = 84027234
-439 + 84604519 = 84604080
-440 + 85184000 = 85183560
-441 + 85766121 = 85765680
-442 + 86350888 = 86350446
-443 + 86938307 = 86937864
-444 + 87528384 = 87527940
-445 + 88121125 = 88120680
-446 + 88716536 = 88716090
-447 + 89314623 = 89314176
-448 + 89915392 = 89914944
-449 + 90518849 = 90518400
-450 + 91125000 = 91124550
-451 + 91733851 = 91733400
-452 + 92345408 = 92344956
-453 + 92959677 = 92959224
-454 + 93576664 = 93576210
-455 + 94196375 = 94195920
-456 + 94818816 = 94818360
-457 + 95443993 = 95443536
-458 + 96071912 = 96071454
-459 + 96702579 = 96702120
-460 + 97336000 = 97335540
-461 + 97972181 = 97971720
-462 + 98611128 = 98610666
-463 + 99252847 = 99252384
-464 + 99897344 = 99896880
-465 + 100544625 = 100544160
-466 + 101194696 = 101194230
-467 + 101847563 = 101847096
-468 + 102503232 = 102502764
-469 + 103161709 = 103161240
-470 + 103823000 = 103822530
-471 + 104487111 = 104486640
-472 + 105154048 = 105153576
-473 + 105823817 = 105823344
-474 + 106496424 = 106495950
-475 + 107171875 = 107171400
-476 + 107850176 = 107849700
-477 + 108531333 = 108530856
-478 + 109215352 = 109214874
-479 + 109902239 = 109901760
-480 + 110592000 = 110591520
-481 + 111284641 = 111284160
-482 + 111980168 = 111979686
-483 + 112678587 = 112678104
-484 + 113379904 = 113379420
-485 + 114084125 = 114083640
-486 + 114791256 = 114790770
-487 + 115501303 = 115500816
-488 + 116214272 = 116213784
-489 + 116930169 = 116929680
-490 + 117649000 = 117648510
-491 + 118370771 = 118370280
-492 + 119095488 = 119094996
-493 + 119823157 = 119822664
-494 + 120553784 = 120553290
-495 + 121287375 = 121286880
-496 + 122023936 = 122023440
-497 + 122763473 = 122762976
-498 + 123505992 = 123505494
-499 + 124251499 = 124251000
-500 + 125000000 = 124999500
-501 + 125751501 = 125751000
-502 + 126506008 = 126505506
-503 + 127263527 = 127263024
-504 + 128024064 = 128023560
-505 + 128787625 = 128787120
-506 + 129554216 = 129553710
-507 + 130323843 = 130323336
-508 + 131096512 = 131096004
-509 + 131872229 = 131871720
-510 + 132651000 = 132650490
-511 + 133432831 = 133432320
dim 1, grid 1, block N, (N=256)
#include <stdio.h>
#include <cuda.h>
#include <cuda_runtime.h>
#include <curand_kernel.h>
#define N 512
__global__ void add(int *a, int *b, int *c){
int tid = threadIdx.x; // handle the data at this index
if(tid < N)
c[tid] = a[tid] + b[tid];
}
int main()
{
int a[N], b[N], c[N], i;
int *dev_a, *dev_b, *dev_c;
cudaMalloc((void**)&dev_c, N*sizeof(int));
cudaMalloc((void**)&dev_b, N*sizeof(int));
cudaMalloc((void**)&dev_a, N*sizeof(int));
for(i=0; i < N; i++)
{
a[i] = -i;
b[i] = i*i*i;
}
cudaMemcpy(dev_a, a, N*sizeof(int), cudaMemcpyHostToDevice);
cudaMemcpy(dev_b, b, N*sizeof(int), cudaMemcpyHostToDevice);
add <<<1, N>>>(dev_a, dev_b, dev_c);
cudaMemcpy(c, dev_c, N*sizeof(int), cudaMemcpyDeviceToHost);
for(i=0; i < N; i++)
printf("%d + %d = %d\n", a[i], b[i], c[i]);
cudaFree(dev_c);
cudaFree(dev_b);
cudaFree(dev_a);
return 0;
}
cd babel
nvcc dim1_gridN_block1_N256.cu -o dim1_gridN_block1_N256
./dim1_gridN_block1_N256
0 + 0 = 0
-1 + 1 = 0
-2 + 8 = 6
-3 + 27 = 24
-4 + 64 = 60
-5 + 125 = 120
-6 + 216 = 210
-7 + 343 = 336
-8 + 512 = 504
-9 + 729 = 720
-10 + 1000 = 990
-11 + 1331 = 1320
-12 + 1728 = 1716
-13 + 2197 = 2184
-14 + 2744 = 2730
-15 + 3375 = 3360
-16 + 4096 = 4080
-17 + 4913 = 4896
-18 + 5832 = 5814
-19 + 6859 = 6840
-20 + 8000 = 7980
-21 + 9261 = 9240
-22 + 10648 = 10626
-23 + 12167 = 12144
-24 + 13824 = 13800
-25 + 15625 = 15600
-26 + 17576 = 17550
-27 + 19683 = 19656
-28 + 21952 = 21924
-29 + 24389 = 24360
-30 + 27000 = 26970
-31 + 29791 = 29760
-32 + 32768 = 32736
-33 + 35937 = 35904
-34 + 39304 = 39270
-35 + 42875 = 42840
-36 + 46656 = 46620
-37 + 50653 = 50616
-38 + 54872 = 54834
-39 + 59319 = 59280
-40 + 64000 = 63960
-41 + 68921 = 68880
-42 + 74088 = 74046
-43 + 79507 = 79464
-44 + 85184 = 85140
-45 + 91125 = 91080
-46 + 97336 = 97290
-47 + 103823 = 103776
-48 + 110592 = 110544
-49 + 117649 = 117600
-50 + 125000 = 124950
-51 + 132651 = 132600
-52 + 140608 = 140556
-53 + 148877 = 148824
-54 + 157464 = 157410
-55 + 166375 = 166320
-56 + 175616 = 175560
-57 + 185193 = 185136
-58 + 195112 = 195054
-59 + 205379 = 205320
-60 + 216000 = 215940
-61 + 226981 = 226920
-62 + 238328 = 238266
-63 + 250047 = 249984
-64 + 262144 = 262080
-65 + 274625 = 274560
-66 + 287496 = 287430
-67 + 300763 = 300696
-68 + 314432 = 314364
-69 + 328509 = 328440
-70 + 343000 = 342930
-71 + 357911 = 357840
-72 + 373248 = 373176
-73 + 389017 = 388944
-74 + 405224 = 405150
-75 + 421875 = 421800
-76 + 438976 = 438900
-77 + 456533 = 456456
-78 + 474552 = 474474
-79 + 493039 = 492960
-80 + 512000 = 511920
-81 + 531441 = 531360
-82 + 551368 = 551286
-83 + 571787 = 571704
-84 + 592704 = 592620
-85 + 614125 = 614040
-86 + 636056 = 635970
-87 + 658503 = 658416
-88 + 681472 = 681384
-89 + 704969 = 704880
-90 + 729000 = 728910
-91 + 753571 = 753480
-92 + 778688 = 778596
-93 + 804357 = 804264
-94 + 830584 = 830490
-95 + 857375 = 857280
-96 + 884736 = 884640
-97 + 912673 = 912576
-98 + 941192 = 941094
-99 + 970299 = 970200
-100 + 1000000 = 999900
-101 + 1030301 = 1030200
-102 + 1061208 = 1061106
-103 + 1092727 = 1092624
-104 + 1124864 = 1124760
-105 + 1157625 = 1157520
-106 + 1191016 = 1190910
-107 + 1225043 = 1224936
-108 + 1259712 = 1259604
-109 + 1295029 = 1294920
-110 + 1331000 = 1330890
-111 + 1367631 = 1367520
-112 + 1404928 = 1404816
-113 + 1442897 = 1442784
-114 + 1481544 = 1481430
-115 + 1520875 = 1520760
-116 + 1560896 = 1560780
-117 + 1601613 = 1601496
-118 + 1643032 = 1642914
-119 + 1685159 = 1685040
-120 + 1728000 = 1727880
-121 + 1771561 = 1771440
-122 + 1815848 = 1815726
-123 + 1860867 = 1860744
-124 + 1906624 = 1906500
-125 + 1953125 = 1953000
-126 + 2000376 = 2000250
-127 + 2048383 = 2048256
-128 + 2097152 = 2097024
-129 + 2146689 = 2146560
-130 + 2197000 = 2196870
-131 + 2248091 = 2247960
-132 + 2299968 = 2299836
-133 + 2352637 = 2352504
-134 + 2406104 = 2405970
-135 + 2460375 = 2460240
-136 + 2515456 = 2515320
-137 + 2571353 = 2571216
-138 + 2628072 = 2627934
-139 + 2685619 = 2685480
-140 + 2744000 = 2743860
-141 + 2803221 = 2803080
-142 + 2863288 = 2863146
-143 + 2924207 = 2924064
-144 + 2985984 = 2985840
-145 + 3048625 = 3048480
-146 + 3112136 = 3111990
-147 + 3176523 = 3176376
-148 + 3241792 = 3241644
-149 + 3307949 = 3307800
-150 + 3375000 = 3374850
-151 + 3442951 = 3442800
-152 + 3511808 = 3511656
-153 + 3581577 = 3581424
-154 + 3652264 = 3652110
-155 + 3723875 = 3723720
-156 + 3796416 = 3796260
-157 + 3869893 = 3869736
-158 + 3944312 = 3944154
-159 + 4019679 = 4019520
-160 + 4096000 = 4095840
-161 + 4173281 = 4173120
-162 + 4251528 = 4251366
-163 + 4330747 = 4330584
-164 + 4410944 = 4410780
-165 + 4492125 = 4491960
-166 + 4574296 = 4574130
-167 + 4657463 = 4657296
-168 + 4741632 = 4741464
-169 + 4826809 = 4826640
-170 + 4913000 = 4912830
-171 + 5000211 = 5000040
-172 + 5088448 = 5088276
-173 + 5177717 = 5177544
-174 + 5268024 = 5267850
-175 + 5359375 = 5359200
-176 + 5451776 = 5451600
-177 + 5545233 = 5545056
-178 + 5639752 = 5639574
-179 + 5735339 = 5735160
-180 + 5832000 = 5831820
-181 + 5929741 = 5929560
-182 + 6028568 = 6028386
-183 + 6128487 = 6128304
-184 + 6229504 = 6229320
-185 + 6331625 = 6331440
-186 + 6434856 = 6434670
-187 + 6539203 = 6539016
-188 + 6644672 = 6644484
-189 + 6751269 = 6751080
-190 + 6859000 = 6858810
-191 + 6967871 = 6967680
-192 + 7077888 = 7077696
-193 + 7189057 = 7188864
-194 + 7301384 = 7301190
-195 + 7414875 = 7414680
-196 + 7529536 = 7529340
-197 + 7645373 = 7645176
-198 + 7762392 = 7762194
-199 + 7880599 = 7880400
-200 + 8000000 = 7999800
-201 + 8120601 = 8120400
-202 + 8242408 = 8242206
-203 + 8365427 = 8365224
-204 + 8489664 = 8489460
-205 + 8615125 = 8614920
-206 + 8741816 = 8741610
-207 + 8869743 = 8869536
-208 + 8998912 = 8998704
-209 + 9129329 = 9129120
-210 + 9261000 = 9260790
-211 + 9393931 = 9393720
-212 + 9528128 = 9527916
-213 + 9663597 = 9663384
-214 + 9800344 = 9800130
-215 + 9938375 = 9938160
-216 + 10077696 = 10077480
-217 + 10218313 = 10218096
-218 + 10360232 = 10360014
-219 + 10503459 = 10503240
-220 + 10648000 = 10647780
-221 + 10793861 = 10793640
-222 + 10941048 = 10940826
-223 + 11089567 = 11089344
-224 + 11239424 = 11239200
-225 + 11390625 = 11390400
-226 + 11543176 = 11542950
-227 + 11697083 = 11696856
-228 + 11852352 = 11852124
-229 + 12008989 = 12008760
-230 + 12167000 = 12166770
-231 + 12326391 = 12326160
-232 + 12487168 = 12486936
-233 + 12649337 = 12649104
-234 + 12812904 = 12812670
-235 + 12977875 = 12977640
-236 + 13144256 = 13144020
-237 + 13312053 = 13311816
-238 + 13481272 = 13481034
-239 + 13651919 = 13651680
-240 + 13824000 = 13823760
-241 + 13997521 = 13997280
-242 + 14172488 = 14172246
-243 + 14348907 = 14348664
-244 + 14526784 = 14526540
-245 + 14706125 = 14705880
-246 + 14886936 = 14886690
-247 + 15069223 = 15068976
-248 + 15252992 = 15252744
-249 + 15438249 = 15438000
-250 + 15625000 = 15624750
-251 + 15813251 = 15813000
-252 + 16003008 = 16002756
-253 + 16194277 = 16194024
-254 + 16387064 = 16386810
-255 + 16581375 = 16581120
-256 + 16777216 = 16776960
-257 + 16974593 = 16974336
-258 + 17173512 = 17173254
-259 + 17373979 = 17373720
-260 + 17576000 = 17575740
-261 + 17779581 = 17779320
-262 + 17984728 = 17984466
-263 + 18191447 = 18191184
-264 + 18399744 = 18399480
-265 + 18609625 = 18609360
-266 + 18821096 = 18820830
-267 + 19034163 = 19033896
-268 + 19248832 = 19248564
-269 + 19465109 = 19464840
-270 + 19683000 = 19682730
-271 + 19902511 = 19902240
-272 + 20123648 = 20123376
-273 + 20346417 = 20346144
-274 + 20570824 = 20570550
-275 + 20796875 = 20796600
-276 + 21024576 = 21024300
-277 + 21253933 = 21253656
-278 + 21484952 = 21484674
-279 + 21717639 = 21717360
-280 + 21952000 = 21951720
-281 + 22188041 = 22187760
-282 + 22425768 = 22425486
-283 + 22665187 = 22664904
-284 + 22906304 = 22906020
-285 + 23149125 = 23148840
-286 + 23393656 = 23393370
-287 + 23639903 = 23639616
-288 + 23887872 = 23887584
-289 + 24137569 = 24137280
-290 + 24389000 = 24388710
-291 + 24642171 = 24641880
-292 + 24897088 = 24896796
-293 + 25153757 = 25153464
-294 + 25412184 = 25411890
-295 + 25672375 = 25672080
-296 + 25934336 = 25934040
-297 + 26198073 = 26197776
-298 + 26463592 = 26463294
-299 + 26730899 = 26730600
-300 + 27000000 = 26999700
-301 + 27270901 = 27270600
-302 + 27543608 = 27543306
-303 + 27818127 = 27817824
-304 + 28094464 = 28094160
-305 + 28372625 = 28372320
-306 + 28652616 = 28652310
-307 + 28934443 = 28934136
-308 + 29218112 = 29217804
-309 + 29503629 = 29503320
-310 + 29791000 = 29790690
-311 + 30080231 = 30079920
-312 + 30371328 = 30371016
-313 + 30664297 = 30663984
-314 + 30959144 = 30958830
-315 + 31255875 = 31255560
-316 + 31554496 = 31554180
-317 + 31855013 = 31854696
-318 + 32157432 = 32157114
-319 + 32461759 = 32461440
-320 + 32768000 = 32767680
-321 + 33076161 = 33075840
-322 + 33386248 = 33385926
-323 + 33698267 = 33697944
-324 + 34012224 = 34011900
-325 + 34328125 = 34327800
-326 + 34645976 = 34645650
-327 + 34965783 = 34965456
-328 + 35287552 = 35287224
-329 + 35611289 = 35610960
-330 + 35937000 = 35936670
-331 + 36264691 = 36264360
-332 + 36594368 = 36594036
-333 + 36926037 = 36925704
-334 + 37259704 = 37259370
-335 + 37595375 = 37595040
-336 + 37933056 = 37932720
-337 + 38272753 = 38272416
-338 + 38614472 = 38614134
-339 + 38958219 = 38957880
-340 + 39304000 = 39303660
-341 + 39651821 = 39651480
-342 + 40001688 = 40001346
-343 + 40353607 = 40353264
-344 + 40707584 = 40707240
-345 + 41063625 = 41063280
-346 + 41421736 = 41421390
-347 + 41781923 = 41781576
-348 + 42144192 = 42143844
-349 + 42508549 = 42508200
-350 + 42875000 = 42874650
-351 + 43243551 = 43243200
-352 + 43614208 = 43613856
-353 + 43986977 = 43986624
-354 + 44361864 = 44361510
-355 + 44738875 = 44738520
-356 + 45118016 = 45117660
-357 + 45499293 = 45498936
-358 + 45882712 = 45882354
-359 + 46268279 = 46267920
-360 + 46656000 = 46655640
-361 + 47045881 = 47045520
-362 + 47437928 = 47437566
-363 + 47832147 = 47831784
-364 + 48228544 = 48228180
-365 + 48627125 = 48626760
-366 + 49027896 = 49027530
-367 + 49430863 = 49430496
-368 + 49836032 = 49835664
-369 + 50243409 = 50243040
-370 + 50653000 = 50652630
-371 + 51064811 = 51064440
-372 + 51478848 = 51478476
-373 + 51895117 = 51894744
-374 + 52313624 = 52313250
-375 + 52734375 = 52734000
-376 + 53157376 = 53157000
-377 + 53582633 = 53582256
-378 + 54010152 = 54009774
-379 + 54439939 = 54439560
-380 + 54872000 = 54871620
-381 + 55306341 = 55305960
-382 + 55742968 = 55742586
-383 + 56181887 = 56181504
-384 + 56623104 = 56622720
-385 + 57066625 = 57066240
-386 + 57512456 = 57512070
-387 + 57960603 = 57960216
-388 + 58411072 = 58410684
-389 + 58863869 = 58863480
-390 + 59319000 = 59318610
-391 + 59776471 = 59776080
-392 + 60236288 = 60235896
-393 + 60698457 = 60698064
-394 + 61162984 = 61162590
-395 + 61629875 = 61629480
-396 + 62099136 = 62098740
-397 + 62570773 = 62570376
-398 + 63044792 = 63044394
-399 + 63521199 = 63520800
-400 + 64000000 = 63999600
-401 + 64481201 = 64480800
-402 + 64964808 = 64964406
-403 + 65450827 = 65450424
-404 + 65939264 = 65938860
-405 + 66430125 = 66429720
-406 + 66923416 = 66923010
-407 + 67419143 = 67418736
-408 + 67917312 = 67916904
-409 + 68417929 = 68417520
-410 + 68921000 = 68920590
-411 + 69426531 = 69426120
-412 + 69934528 = 69934116
-413 + 70444997 = 70444584
-414 + 70957944 = 70957530
-415 + 71473375 = 71472960
-416 + 71991296 = 71990880
-417 + 72511713 = 72511296
-418 + 73034632 = 73034214
-419 + 73560059 = 73559640
-420 + 74088000 = 74087580
-421 + 74618461 = 74618040
-422 + 75151448 = 75151026
-423 + 75686967 = 75686544
-424 + 76225024 = 76224600
-425 + 76765625 = 76765200
-426 + 77308776 = 77308350
-427 + 77854483 = 77854056
-428 + 78402752 = 78402324
-429 + 78953589 = 78953160
-430 + 79507000 = 79506570
-431 + 80062991 = 80062560
-432 + 80621568 = 80621136
-433 + 81182737 = 81182304
-434 + 81746504 = 81746070
-435 + 82312875 = 82312440
-436 + 82881856 = 82881420
-437 + 83453453 = 83453016
-438 + 84027672 = 84027234
-439 + 84604519 = 84604080
-440 + 85184000 = 85183560
-441 + 85766121 = 85765680
-442 + 86350888 = 86350446
-443 + 86938307 = 86937864
-444 + 87528384 = 87527940
-445 + 88121125 = 88120680
-446 + 88716536 = 88716090
-447 + 89314623 = 89314176
-448 + 89915392 = 89914944
-449 + 90518849 = 90518400
-450 + 91125000 = 91124550
-451 + 91733851 = 91733400
-452 + 92345408 = 92344956
-453 + 92959677 = 92959224
-454 + 93576664 = 93576210
-455 + 94196375 = 94195920
-456 + 94818816 = 94818360
-457 + 95443993 = 95443536
-458 + 96071912 = 96071454
-459 + 96702579 = 96702120
-460 + 97336000 = 97335540
-461 + 97972181 = 97971720
-462 + 98611128 = 98610666
-463 + 99252847 = 99252384
-464 + 99897344 = 99896880
-465 + 100544625 = 100544160
-466 + 101194696 = 101194230
-467 + 101847563 = 101847096
-468 + 102503232 = 102502764
-469 + 103161709 = 103161240
-470 + 103823000 = 103822530
-471 + 104487111 = 104486640
-472 + 105154048 = 105153576
-473 + 105823817 = 105823344
-474 + 106496424 = 106495950
-475 + 107171875 = 107171400
-476 + 107850176 = 107849700
-477 + 108531333 = 108530856
-478 + 109215352 = 109214874
-479 + 109902239 = 109901760
-480 + 110592000 = 110591520
-481 + 111284641 = 111284160
-482 + 111980168 = 111979686
-483 + 112678587 = 112678104
-484 + 113379904 = 113379420
-485 + 114084125 = 114083640
-486 + 114791256 = 114790770
-487 + 115501303 = 115500816
-488 + 116214272 = 116213784
-489 + 116930169 = 116929680
-490 + 117649000 = 117648510
-491 + 118370771 = 118370280
-492 + 119095488 = 119094996
-493 + 119823157 = 119822664
-494 + 120553784 = 120553290
-495 + 121287375 = 121286880
-496 + 122023936 = 122023440
-497 + 122763473 = 122762976
-498 + 123505992 = 123505494
-499 + 124251499 = 124251000
-500 + 125000000 = 124999500
-501 + 125751501 = 125751000
-502 + 126506008 = 126505506
-503 + 127263527 = 127263024
-504 + 128024064 = 128023560
-505 + 128787625 = 128787120
-506 + 129554216 = 129553710
-507 + 130323843 = 130323336
-508 + 131096512 = 131096004
-509 + 131872229 = 131871720
-510 + 132651000 = 132650490
-511 + 133432831 = 133432320
dim 1, grid x, block 256
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <assert.h>
#include <cuda.h>
#include <cuda_runtime.h>
#define N 1000000
#define MAX_ERR 1e-6
__global__ void vector_add(float *out, float *a, float *b, int n) {
int tid = blockIdx.y * blockDim.x + threadIdx.x;
int stride = blockDim.x;
// Handling arbitrary vector size
for(int i = tid; i < n; i += stride){
if (i < N){
out[i] = a[i] + b[i];
}
}
}
int main(){
float *a, *b, *out;
float *d_a, *d_b, *d_out;
// Allocate host memory
a = (float*)malloc(sizeof(float) * N);
b = (float*)malloc(sizeof(float) * N);
out = (float*)malloc(sizeof(float) * N);
// Initialize host arrays
for(int i = 0; i < N; i++){
a[i] = 1.0f;
b[i] = 2.0f;
}
// Allocate device memory
cudaMalloc((void**)&d_a, sizeof(float) * N);
cudaMalloc((void**)&d_b, sizeof(float) * N);
cudaMalloc((void**)&d_out, sizeof(float) * N);
// Transfer data from host to device memory
cudaMemcpy(d_a, a, sizeof(float) * N, cudaMemcpyHostToDevice);
cudaMemcpy(d_b, b, sizeof(float) * N, cudaMemcpyHostToDevice);
// Executing kernel
int block_size = 256;
int grid_size = ((N + block_size) / block_size);
vector_add<<<grid_size, block_size>>>(d_out, d_a, d_b, N);
// Transfer data back to host memory
cudaMemcpy(out, d_out, sizeof(float) * N, cudaMemcpyDeviceToHost);
// Verification
for(int i = 0; i < N; i++){
assert(fabs(out[i] - a[i] - b[i]) < MAX_ERR);
}
printf("PASSED\n");
// Deallocate device memory
cudaFree(d_a);
cudaFree(d_b);
cudaFree(d_out);
// Deallocate host memory
free(a);
free(b);
free(out);
}
cd babel
nvcc gpu_vector_add_dim1_gridx_block256.cu -o gpu_vector_add_dim1_gridx_block256
./gpu_vector_add_dim1_gridx_block256
PASSED
Addition dim 2 arry in GPU
dim 2, grid 1, block NxN for array
#include <stdio.h>
#include <cuda.h>
#include <assert.h>
#include <cuda_runtime.h>
#include <curand_kernel.h>
#define N 512
__global__ void add(int *a, int *b, int *c){
int tid = threadIdx.x + threadIdx.y*blockDim.x + blockDim.x*blockDim.y*blockIdx.x;
if(tid < N)
c[tid] = a[tid] + b[tid];
}
int main()
{
int a[N], b[N], c[N], i;
int *dev_a, *dev_b, *dev_c;
cudaMalloc((void**)&dev_c, N*sizeof(int));
cudaMalloc((void**)&dev_b, N*sizeof(int));
cudaMalloc((void**)&dev_a, N*sizeof(int));
for(i=0; i < N; i++)
{
a[i] = 1;
b[i] = 2;
}
cudaMemcpy(dev_a, a, N*sizeof(int), cudaMemcpyHostToDevice);
cudaMemcpy(dev_b, b, N*sizeof(int), cudaMemcpyHostToDevice);
dim3 BlockPerGrid(1, 1, 1);
dim3 ThreadsPerBlock(128, 4, 1);
add <<< BlockPerGrid, ThreadsPerBlock >>>(dev_a, dev_b, dev_c);
cudaMemcpy(c, dev_c, N*sizeof(int), cudaMemcpyDeviceToHost);
for(i=0; i < N; i++){
assert(a[i] + b[i] == c[i]);
}
printf("Passed\n");
cudaFree(dev_c);
cudaFree(dev_b);
cudaFree(dev_a);
return 0;
}
cd babel
nvcc gpu_vector_add_dim2_grid1_blockNxN.cu -o gpu_vector_add_dim2_grid1_blockNxN
./gpu_vector_add_dim2_grid1_blockNxN
Passed
dim 2, grid 1, block NxN for matrix
#include <stdio.h>
#include <cuda.h>
#include <assert.h>
#include <cuda_runtime.h>
#include <curand_kernel.h>
#define n 32
#define N n*n
__global__ void add(float *a, float *b, float *c){
__shared__ float A[n][n];
__shared__ float B[n][n];
__shared__ float C[n][n];
int tidx = threadIdx.x;
int tidy = threadIdx.y;
A[tidy][tidx] = a[tidx +n*tidy];
B[tidy][tidx] = b[tidx +n*tidy];
C[tidy][tidx]= A[tidy][tidx] + B[tidy][tidx];
c[tidx +n*tidy] = C[tidy][tidx];
}
int main()
{
float a[N], b[N], out[N];
float *d_a, *d_b, *d_out;
for(int i = 0; i < n; i++){
for (int j = 0; j < n; j++){
a[i+j*n] = 1.0f + i;
b[i+j*n] = 1.0f + i;
}
}
// Allocate device memory
cudaMalloc((void**)&d_a, sizeof(float) * N);
cudaMalloc((void**)&d_b, sizeof(float) * N);
cudaMalloc((void**)&d_out, sizeof(float) * N);
// Transfer data from host to device memory
cudaMemcpy(d_a, a, sizeof(float) * N, cudaMemcpyHostToDevice);
cudaMemcpy(d_b, b, sizeof(float) * N, cudaMemcpyHostToDevice);
dim3 BlockPerGrid(1, 1, 1);
dim3 ThreadsPerBlock(n, n, 1);
add <<< BlockPerGrid, ThreadsPerBlock >>>(d_a, d_b, d_out);
cudaMemcpy(out, d_out, sizeof(int) * N, cudaMemcpyDeviceToHost);
for(int i=0; i < N; i++){
printf("a[%d] + b[%d] == out[%d] is %f + %f = %f\n", i,i,i, a[i], b[i], out[i]);
}
printf("Passed\n");
cudaFree(d_out);
cudaFree(d_b);
cudaFree(d_a);
return 0;
}
cd babel
nvcc gpu_vector_add_dim2_grid1_blockNxN_matrix.cu -o gpu_vector_add_dim2_grid1_blockNxN_matrix
./gpu_vector_add_dim2_grid1_blockNxN_matrix
a[0] + b[0] == out[0] is 1.000000 + 1.000000 = 2.000000
a[1] + b[1] == out[1] is 2.000000 + 2.000000 = 4.000000
a[2] + b[2] == out[2] is 3.000000 + 3.000000 = 6.000000
a[3] + b[3] == out[3] is 4.000000 + 4.000000 = 8.000000
a[4] + b[4] == out[4] is 5.000000 + 5.000000 = 10.000000
a[5] + b[5] == out[5] is 6.000000 + 6.000000 = 12.000000
a[6] + b[6] == out[6] is 7.000000 + 7.000000 = 14.000000
a[7] + b[7] == out[7] is 8.000000 + 8.000000 = 16.000000
a[8] + b[8] == out[8] is 9.000000 + 9.000000 = 18.000000
a[9] + b[9] == out[9] is 10.000000 + 10.000000 = 20.000000
a[10] + b[10] == out[10] is 11.000000 + 11.000000 = 22.000000
a[11] + b[11] == out[11] is 12.000000 + 12.000000 = 24.000000
a[12] + b[12] == out[12] is 13.000000 + 13.000000 = 26.000000
a[13] + b[13] == out[13] is 14.000000 + 14.000000 = 28.000000
a[14] + b[14] == out[14] is 15.000000 + 15.000000 = 30.000000
a[15] + b[15] == out[15] is 16.000000 + 16.000000 = 32.000000
a[16] + b[16] == out[16] is 17.000000 + 17.000000 = 34.000000
a[17] + b[17] == out[17] is 18.000000 + 18.000000 = 36.000000
a[18] + b[18] == out[18] is 19.000000 + 19.000000 = 38.000000
a[19] + b[19] == out[19] is 20.000000 + 20.000000 = 40.000000
a[20] + b[20] == out[20] is 21.000000 + 21.000000 = 42.000000
a[21] + b[21] == out[21] is 22.000000 + 22.000000 = 44.000000
a[22] + b[22] == out[22] is 23.000000 + 23.000000 = 46.000000
a[23] + b[23] == out[23] is 24.000000 + 24.000000 = 48.000000
a[24] + b[24] == out[24] is 25.000000 + 25.000000 = 50.000000
a[25] + b[25] == out[25] is 26.000000 + 26.000000 = 52.000000
a[26] + b[26] == out[26] is 27.000000 + 27.000000 = 54.000000
a[27] + b[27] == out[27] is 28.000000 + 28.000000 = 56.000000
a[28] + b[28] == out[28] is 29.000000 + 29.000000 = 58.000000
a[29] + b[29] == out[29] is 30.000000 + 30.000000 = 60.000000
a[30] + b[30] == out[30] is 31.000000 + 31.000000 = 62.000000
a[31] + b[31] == out[31] is 32.000000 + 32.000000 = 64.000000
a[32] + b[32] == out[32] is 1.000000 + 1.000000 = 2.000000
a[33] + b[33] == out[33] is 2.000000 + 2.000000 = 4.000000
a[34] + b[34] == out[34] is 3.000000 + 3.000000 = 6.000000
a[35] + b[35] == out[35] is 4.000000 + 4.000000 = 8.000000
a[36] + b[36] == out[36] is 5.000000 + 5.000000 = 10.000000
a[37] + b[37] == out[37] is 6.000000 + 6.000000 = 12.000000
a[38] + b[38] == out[38] is 7.000000 + 7.000000 = 14.000000
a[39] + b[39] == out[39] is 8.000000 + 8.000000 = 16.000000
a[40] + b[40] == out[40] is 9.000000 + 9.000000 = 18.000000
a[41] + b[41] == out[41] is 10.000000 + 10.000000 = 20.000000
a[42] + b[42] == out[42] is 11.000000 + 11.000000 = 22.000000
a[43] + b[43] == out[43] is 12.000000 + 12.000000 = 24.000000
a[44] + b[44] == out[44] is 13.000000 + 13.000000 = 26.000000
a[45] + b[45] == out[45] is 14.000000 + 14.000000 = 28.000000
a[46] + b[46] == out[46] is 15.000000 + 15.000000 = 30.000000
a[47] + b[47] == out[47] is 16.000000 + 16.000000 = 32.000000
a[48] + b[48] == out[48] is 17.000000 + 17.000000 = 34.000000
a[49] + b[49] == out[49] is 18.000000 + 18.000000 = 36.000000
a[50] + b[50] == out[50] is 19.000000 + 19.000000 = 38.000000
a[51] + b[51] == out[51] is 20.000000 + 20.000000 = 40.000000
a[52] + b[52] == out[52] is 21.000000 + 21.000000 = 42.000000
a[53] + b[53] == out[53] is 22.000000 + 22.000000 = 44.000000
a[54] + b[54] == out[54] is 23.000000 + 23.000000 = 46.000000
a[55] + b[55] == out[55] is 24.000000 + 24.000000 = 48.000000
a[56] + b[56] == out[56] is 25.000000 + 25.000000 = 50.000000
a[57] + b[57] == out[57] is 26.000000 + 26.000000 = 52.000000
a[58] + b[58] == out[58] is 27.000000 + 27.000000 = 54.000000
a[59] + b[59] == out[59] is 28.000000 + 28.000000 = 56.000000
a[60] + b[60] == out[60] is 29.000000 + 29.000000 = 58.000000
a[61] + b[61] == out[61] is 30.000000 + 30.000000 = 60.000000
a[62] + b[62] == out[62] is 31.000000 + 31.000000 = 62.000000
a[63] + b[63] == out[63] is 32.000000 + 32.000000 = 64.000000
a[64] + b[64] == out[64] is 1.000000 + 1.000000 = 2.000000
a[65] + b[65] == out[65] is 2.000000 + 2.000000 = 4.000000
a[66] + b[66] == out[66] is 3.000000 + 3.000000 = 6.000000
a[67] + b[67] == out[67] is 4.000000 + 4.000000 = 8.000000
a[68] + b[68] == out[68] is 5.000000 + 5.000000 = 10.000000
a[69] + b[69] == out[69] is 6.000000 + 6.000000 = 12.000000
a[70] + b[70] == out[70] is 7.000000 + 7.000000 = 14.000000
a[71] + b[71] == out[71] is 8.000000 + 8.000000 = 16.000000
a[72] + b[72] == out[72] is 9.000000 + 9.000000 = 18.000000
a[73] + b[73] == out[73] is 10.000000 + 10.000000 = 20.000000
a[74] + b[74] == out[74] is 11.000000 + 11.000000 = 22.000000
a[75] + b[75] == out[75] is 12.000000 + 12.000000 = 24.000000
a[76] + b[76] == out[76] is 13.000000 + 13.000000 = 26.000000
a[77] + b[77] == out[77] is 14.000000 + 14.000000 = 28.000000
a[78] + b[78] == out[78] is 15.000000 + 15.000000 = 30.000000
a[79] + b[79] == out[79] is 16.000000 + 16.000000 = 32.000000
a[80] + b[80] == out[80] is 17.000000 + 17.000000 = 34.000000
a[81] + b[81] == out[81] is 18.000000 + 18.000000 = 36.000000
a[82] + b[82] == out[82] is 19.000000 + 19.000000 = 38.000000
a[83] + b[83] == out[83] is 20.000000 + 20.000000 = 40.000000
a[84] + b[84] == out[84] is 21.000000 + 21.000000 = 42.000000
a[85] + b[85] == out[85] is 22.000000 + 22.000000 = 44.000000
a[86] + b[86] == out[86] is 23.000000 + 23.000000 = 46.000000
a[87] + b[87] == out[87] is 24.000000 + 24.000000 = 48.000000
a[88] + b[88] == out[88] is 25.000000 + 25.000000 = 50.000000
a[89] + b[89] == out[89] is 26.000000 + 26.000000 = 52.000000
a[90] + b[90] == out[90] is 27.000000 + 27.000000 = 54.000000
a[91] + b[91] == out[91] is 28.000000 + 28.000000 = 56.000000
a[92] + b[92] == out[92] is 29.000000 + 29.000000 = 58.000000
a[93] + b[93] == out[93] is 30.000000 + 30.000000 = 60.000000
a[94] + b[94] == out[94] is 31.000000 + 31.000000 = 62.000000
a[95] + b[95] == out[95] is 32.000000 + 32.000000 = 64.000000
a[96] + b[96] == out[96] is 1.000000 + 1.000000 = 2.000000
a[97] + b[97] == out[97] is 2.000000 + 2.000000 = 4.000000
a[98] + b[98] == out[98] is 3.000000 + 3.000000 = 6.000000
a[99] + b[99] == out[99] is 4.000000 + 4.000000 = 8.000000
a[100] + b[100] == out[100] is 5.000000 + 5.000000 = 10.000000
a[101] + b[101] == out[101] is 6.000000 + 6.000000 = 12.000000
a[102] + b[102] == out[102] is 7.000000 + 7.000000 = 14.000000
a[103] + b[103] == out[103] is 8.000000 + 8.000000 = 16.000000
a[104] + b[104] == out[104] is 9.000000 + 9.000000 = 18.000000
a[105] + b[105] == out[105] is 10.000000 + 10.000000 = 20.000000
a[106] + b[106] == out[106] is 11.000000 + 11.000000 = 22.000000
a[107] + b[107] == out[107] is 12.000000 + 12.000000 = 24.000000
a[108] + b[108] == out[108] is 13.000000 + 13.000000 = 26.000000
a[109] + b[109] == out[109] is 14.000000 + 14.000000 = 28.000000
a[110] + b[110] == out[110] is 15.000000 + 15.000000 = 30.000000
a[111] + b[111] == out[111] is 16.000000 + 16.000000 = 32.000000
a[112] + b[112] == out[112] is 17.000000 + 17.000000 = 34.000000
a[113] + b[113] == out[113] is 18.000000 + 18.000000 = 36.000000
a[114] + b[114] == out[114] is 19.000000 + 19.000000 = 38.000000
a[115] + b[115] == out[115] is 20.000000 + 20.000000 = 40.000000
a[116] + b[116] == out[116] is 21.000000 + 21.000000 = 42.000000
a[117] + b[117] == out[117] is 22.000000 + 22.000000 = 44.000000
a[118] + b[118] == out[118] is 23.000000 + 23.000000 = 46.000000
a[119] + b[119] == out[119] is 24.000000 + 24.000000 = 48.000000
a[120] + b[120] == out[120] is 25.000000 + 25.000000 = 50.000000
a[121] + b[121] == out[121] is 26.000000 + 26.000000 = 52.000000
a[122] + b[122] == out[122] is 27.000000 + 27.000000 = 54.000000
a[123] + b[123] == out[123] is 28.000000 + 28.000000 = 56.000000
a[124] + b[124] == out[124] is 29.000000 + 29.000000 = 58.000000
a[125] + b[125] == out[125] is 30.000000 + 30.000000 = 60.000000
a[126] + b[126] == out[126] is 31.000000 + 31.000000 = 62.000000
a[127] + b[127] == out[127] is 32.000000 + 32.000000 = 64.000000
a[128] + b[128] == out[128] is 1.000000 + 1.000000 = 2.000000
a[129] + b[129] == out[129] is 2.000000 + 2.000000 = 4.000000
a[130] + b[130] == out[130] is 3.000000 + 3.000000 = 6.000000
a[131] + b[131] == out[131] is 4.000000 + 4.000000 = 8.000000
a[132] + b[132] == out[132] is 5.000000 + 5.000000 = 10.000000
a[133] + b[133] == out[133] is 6.000000 + 6.000000 = 12.000000
a[134] + b[134] == out[134] is 7.000000 + 7.000000 = 14.000000
a[135] + b[135] == out[135] is 8.000000 + 8.000000 = 16.000000
a[136] + b[136] == out[136] is 9.000000 + 9.000000 = 18.000000
a[137] + b[137] == out[137] is 10.000000 + 10.000000 = 20.000000
a[138] + b[138] == out[138] is 11.000000 + 11.000000 = 22.000000
a[139] + b[139] == out[139] is 12.000000 + 12.000000 = 24.000000
a[140] + b[140] == out[140] is 13.000000 + 13.000000 = 26.000000
a[141] + b[141] == out[141] is 14.000000 + 14.000000 = 28.000000
a[142] + b[142] == out[142] is 15.000000 + 15.000000 = 30.000000
a[143] + b[143] == out[143] is 16.000000 + 16.000000 = 32.000000
a[144] + b[144] == out[144] is 17.000000 + 17.000000 = 34.000000
a[145] + b[145] == out[145] is 18.000000 + 18.000000 = 36.000000
a[146] + b[146] == out[146] is 19.000000 + 19.000000 = 38.000000
a[147] + b[147] == out[147] is 20.000000 + 20.000000 = 40.000000
a[148] + b[148] == out[148] is 21.000000 + 21.000000 = 42.000000
a[149] + b[149] == out[149] is 22.000000 + 22.000000 = 44.000000
a[150] + b[150] == out[150] is 23.000000 + 23.000000 = 46.000000
a[151] + b[151] == out[151] is 24.000000 + 24.000000 = 48.000000
a[152] + b[152] == out[152] is 25.000000 + 25.000000 = 50.000000
a[153] + b[153] == out[153] is 26.000000 + 26.000000 = 52.000000
a[154] + b[154] == out[154] is 27.000000 + 27.000000 = 54.000000
a[155] + b[155] == out[155] is 28.000000 + 28.000000 = 56.000000
a[156] + b[156] == out[156] is 29.000000 + 29.000000 = 58.000000
a[157] + b[157] == out[157] is 30.000000 + 30.000000 = 60.000000
a[158] + b[158] == out[158] is 31.000000 + 31.000000 = 62.000000
a[159] + b[159] == out[159] is 32.000000 + 32.000000 = 64.000000
a[160] + b[160] == out[160] is 1.000000 + 1.000000 = 2.000000
a[161] + b[161] == out[161] is 2.000000 + 2.000000 = 4.000000
a[162] + b[162] == out[162] is 3.000000 + 3.000000 = 6.000000
a[163] + b[163] == out[163] is 4.000000 + 4.000000 = 8.000000
a[164] + b[164] == out[164] is 5.000000 + 5.000000 = 10.000000
a[165] + b[165] == out[165] is 6.000000 + 6.000000 = 12.000000
a[166] + b[166] == out[166] is 7.000000 + 7.000000 = 14.000000
a[167] + b[167] == out[167] is 8.000000 + 8.000000 = 16.000000
a[168] + b[168] == out[168] is 9.000000 + 9.000000 = 18.000000
a[169] + b[169] == out[169] is 10.000000 + 10.000000 = 20.000000
a[170] + b[170] == out[170] is 11.000000 + 11.000000 = 22.000000
a[171] + b[171] == out[171] is 12.000000 + 12.000000 = 24.000000
a[172] + b[172] == out[172] is 13.000000 + 13.000000 = 26.000000
a[173] + b[173] == out[173] is 14.000000 + 14.000000 = 28.000000
a[174] + b[174] == out[174] is 15.000000 + 15.000000 = 30.000000
a[175] + b[175] == out[175] is 16.000000 + 16.000000 = 32.000000
a[176] + b[176] == out[176] is 17.000000 + 17.000000 = 34.000000
a[177] + b[177] == out[177] is 18.000000 + 18.000000 = 36.000000
a[178] + b[178] == out[178] is 19.000000 + 19.000000 = 38.000000
a[179] + b[179] == out[179] is 20.000000 + 20.000000 = 40.000000
a[180] + b[180] == out[180] is 21.000000 + 21.000000 = 42.000000
a[181] + b[181] == out[181] is 22.000000 + 22.000000 = 44.000000
a[182] + b[182] == out[182] is 23.000000 + 23.000000 = 46.000000
a[183] + b[183] == out[183] is 24.000000 + 24.000000 = 48.000000
a[184] + b[184] == out[184] is 25.000000 + 25.000000 = 50.000000
a[185] + b[185] == out[185] is 26.000000 + 26.000000 = 52.000000
a[186] + b[186] == out[186] is 27.000000 + 27.000000 = 54.000000
a[187] + b[187] == out[187] is 28.000000 + 28.000000 = 56.000000
a[188] + b[188] == out[188] is 29.000000 + 29.000000 = 58.000000
a[189] + b[189] == out[189] is 30.000000 + 30.000000 = 60.000000
a[190] + b[190] == out[190] is 31.000000 + 31.000000 = 62.000000
a[191] + b[191] == out[191] is 32.000000 + 32.000000 = 64.000000
a[192] + b[192] == out[192] is 1.000000 + 1.000000 = 2.000000
a[193] + b[193] == out[193] is 2.000000 + 2.000000 = 4.000000
a[194] + b[194] == out[194] is 3.000000 + 3.000000 = 6.000000
a[195] + b[195] == out[195] is 4.000000 + 4.000000 = 8.000000
a[196] + b[196] == out[196] is 5.000000 + 5.000000 = 10.000000
a[197] + b[197] == out[197] is 6.000000 + 6.000000 = 12.000000
a[198] + b[198] == out[198] is 7.000000 + 7.000000 = 14.000000
a[199] + b[199] == out[199] is 8.000000 + 8.000000 = 16.000000
a[200] + b[200] == out[200] is 9.000000 + 9.000000 = 18.000000
a[201] + b[201] == out[201] is 10.000000 + 10.000000 = 20.000000
a[202] + b[202] == out[202] is 11.000000 + 11.000000 = 22.000000
a[203] + b[203] == out[203] is 12.000000 + 12.000000 = 24.000000
a[204] + b[204] == out[204] is 13.000000 + 13.000000 = 26.000000
a[205] + b[205] == out[205] is 14.000000 + 14.000000 = 28.000000
a[206] + b[206] == out[206] is 15.000000 + 15.000000 = 30.000000
a[207] + b[207] == out[207] is 16.000000 + 16.000000 = 32.000000
a[208] + b[208] == out[208] is 17.000000 + 17.000000 = 34.000000
a[209] + b[209] == out[209] is 18.000000 + 18.000000 = 36.000000
a[210] + b[210] == out[210] is 19.000000 + 19.000000 = 38.000000
a[211] + b[211] == out[211] is 20.000000 + 20.000000 = 40.000000
a[212] + b[212] == out[212] is 21.000000 + 21.000000 = 42.000000
a[213] + b[213] == out[213] is 22.000000 + 22.000000 = 44.000000
a[214] + b[214] == out[214] is 23.000000 + 23.000000 = 46.000000
a[215] + b[215] == out[215] is 24.000000 + 24.000000 = 48.000000
a[216] + b[216] == out[216] is 25.000000 + 25.000000 = 50.000000
a[217] + b[217] == out[217] is 26.000000 + 26.000000 = 52.000000
a[218] + b[218] == out[218] is 27.000000 + 27.000000 = 54.000000
a[219] + b[219] == out[219] is 28.000000 + 28.000000 = 56.000000
a[220] + b[220] == out[220] is 29.000000 + 29.000000 = 58.000000
a[221] + b[221] == out[221] is 30.000000 + 30.000000 = 60.000000
a[222] + b[222] == out[222] is 31.000000 + 31.000000 = 62.000000
a[223] + b[223] == out[223] is 32.000000 + 32.000000 = 64.000000
a[224] + b[224] == out[224] is 1.000000 + 1.000000 = 2.000000
a[225] + b[225] == out[225] is 2.000000 + 2.000000 = 4.000000
a[226] + b[226] == out[226] is 3.000000 + 3.000000 = 6.000000
a[227] + b[227] == out[227] is 4.000000 + 4.000000 = 8.000000
a[228] + b[228] == out[228] is 5.000000 + 5.000000 = 10.000000
a[229] + b[229] == out[229] is 6.000000 + 6.000000 = 12.000000
a[230] + b[230] == out[230] is 7.000000 + 7.000000 = 14.000000
a[231] + b[231] == out[231] is 8.000000 + 8.000000 = 16.000000
a[232] + b[232] == out[232] is 9.000000 + 9.000000 = 18.000000
a[233] + b[233] == out[233] is 10.000000 + 10.000000 = 20.000000
a[234] + b[234] == out[234] is 11.000000 + 11.000000 = 22.000000
a[235] + b[235] == out[235] is 12.000000 + 12.000000 = 24.000000
a[236] + b[236] == out[236] is 13.000000 + 13.000000 = 26.000000
a[237] + b[237] == out[237] is 14.000000 + 14.000000 = 28.000000
a[238] + b[238] == out[238] is 15.000000 + 15.000000 = 30.000000
a[239] + b[239] == out[239] is 16.000000 + 16.000000 = 32.000000
a[240] + b[240] == out[240] is 17.000000 + 17.000000 = 34.000000
a[241] + b[241] == out[241] is 18.000000 + 18.000000 = 36.000000
a[242] + b[242] == out[242] is 19.000000 + 19.000000 = 38.000000
a[243] + b[243] == out[243] is 20.000000 + 20.000000 = 40.000000
a[244] + b[244] == out[244] is 21.000000 + 21.000000 = 42.000000
a[245] + b[245] == out[245] is 22.000000 + 22.000000 = 44.000000
a[246] + b[246] == out[246] is 23.000000 + 23.000000 = 46.000000
a[247] + b[247] == out[247] is 24.000000 + 24.000000 = 48.000000
a[248] + b[248] == out[248] is 25.000000 + 25.000000 = 50.000000
a[249] + b[249] == out[249] is 26.000000 + 26.000000 = 52.000000
a[250] + b[250] == out[250] is 27.000000 + 27.000000 = 54.000000
a[251] + b[251] == out[251] is 28.000000 + 28.000000 = 56.000000
a[252] + b[252] == out[252] is 29.000000 + 29.000000 = 58.000000
a[253] + b[253] == out[253] is 30.000000 + 30.000000 = 60.000000
a[254] + b[254] == out[254] is 31.000000 + 31.000000 = 62.000000
a[255] + b[255] == out[255] is 32.000000 + 32.000000 = 64.000000
a[256] + b[256] == out[256] is 1.000000 + 1.000000 = 2.000000
a[257] + b[257] == out[257] is 2.000000 + 2.000000 = 4.000000
a[258] + b[258] == out[258] is 3.000000 + 3.000000 = 6.000000
a[259] + b[259] == out[259] is 4.000000 + 4.000000 = 8.000000
a[260] + b[260] == out[260] is 5.000000 + 5.000000 = 10.000000
a[261] + b[261] == out[261] is 6.000000 + 6.000000 = 12.000000
a[262] + b[262] == out[262] is 7.000000 + 7.000000 = 14.000000
a[263] + b[263] == out[263] is 8.000000 + 8.000000 = 16.000000
a[264] + b[264] == out[264] is 9.000000 + 9.000000 = 18.000000
a[265] + b[265] == out[265] is 10.000000 + 10.000000 = 20.000000
a[266] + b[266] == out[266] is 11.000000 + 11.000000 = 22.000000
a[267] + b[267] == out[267] is 12.000000 + 12.000000 = 24.000000
a[268] + b[268] == out[268] is 13.000000 + 13.000000 = 26.000000
a[269] + b[269] == out[269] is 14.000000 + 14.000000 = 28.000000
a[270] + b[270] == out[270] is 15.000000 + 15.000000 = 30.000000
a[271] + b[271] == out[271] is 16.000000 + 16.000000 = 32.000000
a[272] + b[272] == out[272] is 17.000000 + 17.000000 = 34.000000
a[273] + b[273] == out[273] is 18.000000 + 18.000000 = 36.000000
a[274] + b[274] == out[274] is 19.000000 + 19.000000 = 38.000000
a[275] + b[275] == out[275] is 20.000000 + 20.000000 = 40.000000
a[276] + b[276] == out[276] is 21.000000 + 21.000000 = 42.000000
a[277] + b[277] == out[277] is 22.000000 + 22.000000 = 44.000000
a[278] + b[278] == out[278] is 23.000000 + 23.000000 = 46.000000
a[279] + b[279] == out[279] is 24.000000 + 24.000000 = 48.000000
a[280] + b[280] == out[280] is 25.000000 + 25.000000 = 50.000000
a[281] + b[281] == out[281] is 26.000000 + 26.000000 = 52.000000
a[282] + b[282] == out[282] is 27.000000 + 27.000000 = 54.000000
a[283] + b[283] == out[283] is 28.000000 + 28.000000 = 56.000000
a[284] + b[284] == out[284] is 29.000000 + 29.000000 = 58.000000
a[285] + b[285] == out[285] is 30.000000 + 30.000000 = 60.000000
a[286] + b[286] == out[286] is 31.000000 + 31.000000 = 62.000000
a[287] + b[287] == out[287] is 32.000000 + 32.000000 = 64.000000
a[288] + b[288] == out[288] is 1.000000 + 1.000000 = 2.000000
a[289] + b[289] == out[289] is 2.000000 + 2.000000 = 4.000000
a[290] + b[290] == out[290] is 3.000000 + 3.000000 = 6.000000
a[291] + b[291] == out[291] is 4.000000 + 4.000000 = 8.000000
a[292] + b[292] == out[292] is 5.000000 + 5.000000 = 10.000000
a[293] + b[293] == out[293] is 6.000000 + 6.000000 = 12.000000
a[294] + b[294] == out[294] is 7.000000 + 7.000000 = 14.000000
a[295] + b[295] == out[295] is 8.000000 + 8.000000 = 16.000000
a[296] + b[296] == out[296] is 9.000000 + 9.000000 = 18.000000
a[297] + b[297] == out[297] is 10.000000 + 10.000000 = 20.000000
a[298] + b[298] == out[298] is 11.000000 + 11.000000 = 22.000000
a[299] + b[299] == out[299] is 12.000000 + 12.000000 = 24.000000
a[300] + b[300] == out[300] is 13.000000 + 13.000000 = 26.000000
a[301] + b[301] == out[301] is 14.000000 + 14.000000 = 28.000000
a[302] + b[302] == out[302] is 15.000000 + 15.000000 = 30.000000
a[303] + b[303] == out[303] is 16.000000 + 16.000000 = 32.000000
a[304] + b[304] == out[304] is 17.000000 + 17.000000 = 34.000000
a[305] + b[305] == out[305] is 18.000000 + 18.000000 = 36.000000
a[306] + b[306] == out[306] is 19.000000 + 19.000000 = 38.000000
a[307] + b[307] == out[307] is 20.000000 + 20.000000 = 40.000000
a[308] + b[308] == out[308] is 21.000000 + 21.000000 = 42.000000
a[309] + b[309] == out[309] is 22.000000 + 22.000000 = 44.000000
a[310] + b[310] == out[310] is 23.000000 + 23.000000 = 46.000000
a[311] + b[311] == out[311] is 24.000000 + 24.000000 = 48.000000
a[312] + b[312] == out[312] is 25.000000 + 25.000000 = 50.000000
a[313] + b[313] == out[313] is 26.000000 + 26.000000 = 52.000000
a[314] + b[314] == out[314] is 27.000000 + 27.000000 = 54.000000
a[315] + b[315] == out[315] is 28.000000 + 28.000000 = 56.000000
a[316] + b[316] == out[316] is 29.000000 + 29.000000 = 58.000000
a[317] + b[317] == out[317] is 30.000000 + 30.000000 = 60.000000
a[318] + b[318] == out[318] is 31.000000 + 31.000000 = 62.000000
a[319] + b[319] == out[319] is 32.000000 + 32.000000 = 64.000000
a[320] + b[320] == out[320] is 1.000000 + 1.000000 = 2.000000
a[321] + b[321] == out[321] is 2.000000 + 2.000000 = 4.000000
a[322] + b[322] == out[322] is 3.000000 + 3.000000 = 6.000000
a[323] + b[323] == out[323] is 4.000000 + 4.000000 = 8.000000
a[324] + b[324] == out[324] is 5.000000 + 5.000000 = 10.000000
a[325] + b[325] == out[325] is 6.000000 + 6.000000 = 12.000000
a[326] + b[326] == out[326] is 7.000000 + 7.000000 = 14.000000
a[327] + b[327] == out[327] is 8.000000 + 8.000000 = 16.000000
a[328] + b[328] == out[328] is 9.000000 + 9.000000 = 18.000000
a[329] + b[329] == out[329] is 10.000000 + 10.000000 = 20.000000
a[330] + b[330] == out[330] is 11.000000 + 11.000000 = 22.000000
a[331] + b[331] == out[331] is 12.000000 + 12.000000 = 24.000000
a[332] + b[332] == out[332] is 13.000000 + 13.000000 = 26.000000
a[333] + b[333] == out[333] is 14.000000 + 14.000000 = 28.000000
a[334] + b[334] == out[334] is 15.000000 + 15.000000 = 30.000000
a[335] + b[335] == out[335] is 16.000000 + 16.000000 = 32.000000
a[336] + b[336] == out[336] is 17.000000 + 17.000000 = 34.000000
a[337] + b[337] == out[337] is 18.000000 + 18.000000 = 36.000000
a[338] + b[338] == out[338] is 19.000000 + 19.000000 = 38.000000
a[339] + b[339] == out[339] is 20.000000 + 20.000000 = 40.000000
a[340] + b[340] == out[340] is 21.000000 + 21.000000 = 42.000000
a[341] + b[341] == out[341] is 22.000000 + 22.000000 = 44.000000
a[342] + b[342] == out[342] is 23.000000 + 23.000000 = 46.000000
a[343] + b[343] == out[343] is 24.000000 + 24.000000 = 48.000000
a[344] + b[344] == out[344] is 25.000000 + 25.000000 = 50.000000
a[345] + b[345] == out[345] is 26.000000 + 26.000000 = 52.000000
a[346] + b[346] == out[346] is 27.000000 + 27.000000 = 54.000000
a[347] + b[347] == out[347] is 28.000000 + 28.000000 = 56.000000
a[348] + b[348] == out[348] is 29.000000 + 29.000000 = 58.000000
a[349] + b[349] == out[349] is 30.000000 + 30.000000 = 60.000000
a[350] + b[350] == out[350] is 31.000000 + 31.000000 = 62.000000
a[351] + b[351] == out[351] is 32.000000 + 32.000000 = 64.000000
a[352] + b[352] == out[352] is 1.000000 + 1.000000 = 2.000000
a[353] + b[353] == out[353] is 2.000000 + 2.000000 = 4.000000
a[354] + b[354] == out[354] is 3.000000 + 3.000000 = 6.000000
a[355] + b[355] == out[355] is 4.000000 + 4.000000 = 8.000000
a[356] + b[356] == out[356] is 5.000000 + 5.000000 = 10.000000
a[357] + b[357] == out[357] is 6.000000 + 6.000000 = 12.000000
a[358] + b[358] == out[358] is 7.000000 + 7.000000 = 14.000000
a[359] + b[359] == out[359] is 8.000000 + 8.000000 = 16.000000
a[360] + b[360] == out[360] is 9.000000 + 9.000000 = 18.000000
a[361] + b[361] == out[361] is 10.000000 + 10.000000 = 20.000000
a[362] + b[362] == out[362] is 11.000000 + 11.000000 = 22.000000
a[363] + b[363] == out[363] is 12.000000 + 12.000000 = 24.000000
a[364] + b[364] == out[364] is 13.000000 + 13.000000 = 26.000000
a[365] + b[365] == out[365] is 14.000000 + 14.000000 = 28.000000
a[366] + b[366] == out[366] is 15.000000 + 15.000000 = 30.000000
a[367] + b[367] == out[367] is 16.000000 + 16.000000 = 32.000000
a[368] + b[368] == out[368] is 17.000000 + 17.000000 = 34.000000
a[369] + b[369] == out[369] is 18.000000 + 18.000000 = 36.000000
a[370] + b[370] == out[370] is 19.000000 + 19.000000 = 38.000000
a[371] + b[371] == out[371] is 20.000000 + 20.000000 = 40.000000
a[372] + b[372] == out[372] is 21.000000 + 21.000000 = 42.000000
a[373] + b[373] == out[373] is 22.000000 + 22.000000 = 44.000000
a[374] + b[374] == out[374] is 23.000000 + 23.000000 = 46.000000
a[375] + b[375] == out[375] is 24.000000 + 24.000000 = 48.000000
a[376] + b[376] == out[376] is 25.000000 + 25.000000 = 50.000000
a[377] + b[377] == out[377] is 26.000000 + 26.000000 = 52.000000
a[378] + b[378] == out[378] is 27.000000 + 27.000000 = 54.000000
a[379] + b[379] == out[379] is 28.000000 + 28.000000 = 56.000000
a[380] + b[380] == out[380] is 29.000000 + 29.000000 = 58.000000
a[381] + b[381] == out[381] is 30.000000 + 30.000000 = 60.000000
a[382] + b[382] == out[382] is 31.000000 + 31.000000 = 62.000000
a[383] + b[383] == out[383] is 32.000000 + 32.000000 = 64.000000
a[384] + b[384] == out[384] is 1.000000 + 1.000000 = 2.000000
a[385] + b[385] == out[385] is 2.000000 + 2.000000 = 4.000000
a[386] + b[386] == out[386] is 3.000000 + 3.000000 = 6.000000
a[387] + b[387] == out[387] is 4.000000 + 4.000000 = 8.000000
a[388] + b[388] == out[388] is 5.000000 + 5.000000 = 10.000000
a[389] + b[389] == out[389] is 6.000000 + 6.000000 = 12.000000
a[390] + b[390] == out[390] is 7.000000 + 7.000000 = 14.000000
a[391] + b[391] == out[391] is 8.000000 + 8.000000 = 16.000000
a[392] + b[392] == out[392] is 9.000000 + 9.000000 = 18.000000
a[393] + b[393] == out[393] is 10.000000 + 10.000000 = 20.000000
a[394] + b[394] == out[394] is 11.000000 + 11.000000 = 22.000000
a[395] + b[395] == out[395] is 12.000000 + 12.000000 = 24.000000
a[396] + b[396] == out[396] is 13.000000 + 13.000000 = 26.000000
a[397] + b[397] == out[397] is 14.000000 + 14.000000 = 28.000000
a[398] + b[398] == out[398] is 15.000000 + 15.000000 = 30.000000
a[399] + b[399] == out[399] is 16.000000 + 16.000000 = 32.000000
a[400] + b[400] == out[400] is 17.000000 + 17.000000 = 34.000000
a[401] + b[401] == out[401] is 18.000000 + 18.000000 = 36.000000
a[402] + b[402] == out[402] is 19.000000 + 19.000000 = 38.000000
a[403] + b[403] == out[403] is 20.000000 + 20.000000 = 40.000000
a[404] + b[404] == out[404] is 21.000000 + 21.000000 = 42.000000
a[405] + b[405] == out[405] is 22.000000 + 22.000000 = 44.000000
a[406] + b[406] == out[406] is 23.000000 + 23.000000 = 46.000000
a[407] + b[407] == out[407] is 24.000000 + 24.000000 = 48.000000
a[408] + b[408] == out[408] is 25.000000 + 25.000000 = 50.000000
a[409] + b[409] == out[409] is 26.000000 + 26.000000 = 52.000000
a[410] + b[410] == out[410] is 27.000000 + 27.000000 = 54.000000
a[411] + b[411] == out[411] is 28.000000 + 28.000000 = 56.000000
a[412] + b[412] == out[412] is 29.000000 + 29.000000 = 58.000000
a[413] + b[413] == out[413] is 30.000000 + 30.000000 = 60.000000
a[414] + b[414] == out[414] is 31.000000 + 31.000000 = 62.000000
a[415] + b[415] == out[415] is 32.000000 + 32.000000 = 64.000000
a[416] + b[416] == out[416] is 1.000000 + 1.000000 = 2.000000
a[417] + b[417] == out[417] is 2.000000 + 2.000000 = 4.000000
a[418] + b[418] == out[418] is 3.000000 + 3.000000 = 6.000000
a[419] + b[419] == out[419] is 4.000000 + 4.000000 = 8.000000
a[420] + b[420] == out[420] is 5.000000 + 5.000000 = 10.000000
a[421] + b[421] == out[421] is 6.000000 + 6.000000 = 12.000000
a[422] + b[422] == out[422] is 7.000000 + 7.000000 = 14.000000
a[423] + b[423] == out[423] is 8.000000 + 8.000000 = 16.000000
a[424] + b[424] == out[424] is 9.000000 + 9.000000 = 18.000000
a[425] + b[425] == out[425] is 10.000000 + 10.000000 = 20.000000
a[426] + b[426] == out[426] is 11.000000 + 11.000000 = 22.000000
a[427] + b[427] == out[427] is 12.000000 + 12.000000 = 24.000000
a[428] + b[428] == out[428] is 13.000000 + 13.000000 = 26.000000
a[429] + b[429] == out[429] is 14.000000 + 14.000000 = 28.000000
a[430] + b[430] == out[430] is 15.000000 + 15.000000 = 30.000000
a[431] + b[431] == out[431] is 16.000000 + 16.000000 = 32.000000
a[432] + b[432] == out[432] is 17.000000 + 17.000000 = 34.000000
a[433] + b[433] == out[433] is 18.000000 + 18.000000 = 36.000000
a[434] + b[434] == out[434] is 19.000000 + 19.000000 = 38.000000
a[435] + b[435] == out[435] is 20.000000 + 20.000000 = 40.000000
a[436] + b[436] == out[436] is 21.000000 + 21.000000 = 42.000000
a[437] + b[437] == out[437] is 22.000000 + 22.000000 = 44.000000
a[438] + b[438] == out[438] is 23.000000 + 23.000000 = 46.000000
a[439] + b[439] == out[439] is 24.000000 + 24.000000 = 48.000000
a[440] + b[440] == out[440] is 25.000000 + 25.000000 = 50.000000
a[441] + b[441] == out[441] is 26.000000 + 26.000000 = 52.000000
a[442] + b[442] == out[442] is 27.000000 + 27.000000 = 54.000000
a[443] + b[443] == out[443] is 28.000000 + 28.000000 = 56.000000
a[444] + b[444] == out[444] is 29.000000 + 29.000000 = 58.000000
a[445] + b[445] == out[445] is 30.000000 + 30.000000 = 60.000000
a[446] + b[446] == out[446] is 31.000000 + 31.000000 = 62.000000
a[447] + b[447] == out[447] is 32.000000 + 32.000000 = 64.000000
a[448] + b[448] == out[448] is 1.000000 + 1.000000 = 2.000000
a[449] + b[449] == out[449] is 2.000000 + 2.000000 = 4.000000
a[450] + b[450] == out[450] is 3.000000 + 3.000000 = 6.000000
a[451] + b[451] == out[451] is 4.000000 + 4.000000 = 8.000000
a[452] + b[452] == out[452] is 5.000000 + 5.000000 = 10.000000
a[453] + b[453] == out[453] is 6.000000 + 6.000000 = 12.000000
a[454] + b[454] == out[454] is 7.000000 + 7.000000 = 14.000000
a[455] + b[455] == out[455] is 8.000000 + 8.000000 = 16.000000
a[456] + b[456] == out[456] is 9.000000 + 9.000000 = 18.000000
a[457] + b[457] == out[457] is 10.000000 + 10.000000 = 20.000000
a[458] + b[458] == out[458] is 11.000000 + 11.000000 = 22.000000
a[459] + b[459] == out[459] is 12.000000 + 12.000000 = 24.000000
a[460] + b[460] == out[460] is 13.000000 + 13.000000 = 26.000000
a[461] + b[461] == out[461] is 14.000000 + 14.000000 = 28.000000
a[462] + b[462] == out[462] is 15.000000 + 15.000000 = 30.000000
a[463] + b[463] == out[463] is 16.000000 + 16.000000 = 32.000000
a[464] + b[464] == out[464] is 17.000000 + 17.000000 = 34.000000
a[465] + b[465] == out[465] is 18.000000 + 18.000000 = 36.000000
a[466] + b[466] == out[466] is 19.000000 + 19.000000 = 38.000000
a[467] + b[467] == out[467] is 20.000000 + 20.000000 = 40.000000
a[468] + b[468] == out[468] is 21.000000 + 21.000000 = 42.000000
a[469] + b[469] == out[469] is 22.000000 + 22.000000 = 44.000000
a[470] + b[470] == out[470] is 23.000000 + 23.000000 = 46.000000
a[471] + b[471] == out[471] is 24.000000 + 24.000000 = 48.000000
a[472] + b[472] == out[472] is 25.000000 + 25.000000 = 50.000000
a[473] + b[473] == out[473] is 26.000000 + 26.000000 = 52.000000
a[474] + b[474] == out[474] is 27.000000 + 27.000000 = 54.000000
a[475] + b[475] == out[475] is 28.000000 + 28.000000 = 56.000000
a[476] + b[476] == out[476] is 29.000000 + 29.000000 = 58.000000
a[477] + b[477] == out[477] is 30.000000 + 30.000000 = 60.000000
a[478] + b[478] == out[478] is 31.000000 + 31.000000 = 62.000000
a[479] + b[479] == out[479] is 32.000000 + 32.000000 = 64.000000
a[480] + b[480] == out[480] is 1.000000 + 1.000000 = 2.000000
a[481] + b[481] == out[481] is 2.000000 + 2.000000 = 4.000000
a[482] + b[482] == out[482] is 3.000000 + 3.000000 = 6.000000
a[483] + b[483] == out[483] is 4.000000 + 4.000000 = 8.000000
a[484] + b[484] == out[484] is 5.000000 + 5.000000 = 10.000000
a[485] + b[485] == out[485] is 6.000000 + 6.000000 = 12.000000
a[486] + b[486] == out[486] is 7.000000 + 7.000000 = 14.000000
a[487] + b[487] == out[487] is 8.000000 + 8.000000 = 16.000000
a[488] + b[488] == out[488] is 9.000000 + 9.000000 = 18.000000
a[489] + b[489] == out[489] is 10.000000 + 10.000000 = 20.000000
a[490] + b[490] == out[490] is 11.000000 + 11.000000 = 22.000000
a[491] + b[491] == out[491] is 12.000000 + 12.000000 = 24.000000
a[492] + b[492] == out[492] is 13.000000 + 13.000000 = 26.000000
a[493] + b[493] == out[493] is 14.000000 + 14.000000 = 28.000000
a[494] + b[494] == out[494] is 15.000000 + 15.000000 = 30.000000
a[495] + b[495] == out[495] is 16.000000 + 16.000000 = 32.000000
a[496] + b[496] == out[496] is 17.000000 + 17.000000 = 34.000000
a[497] + b[497] == out[497] is 18.000000 + 18.000000 = 36.000000
a[498] + b[498] == out[498] is 19.000000 + 19.000000 = 38.000000
a[499] + b[499] == out[499] is 20.000000 + 20.000000 = 40.000000
a[500] + b[500] == out[500] is 21.000000 + 21.000000 = 42.000000
a[501] + b[501] == out[501] is 22.000000 + 22.000000 = 44.000000
a[502] + b[502] == out[502] is 23.000000 + 23.000000 = 46.000000
a[503] + b[503] == out[503] is 24.000000 + 24.000000 = 48.000000
a[504] + b[504] == out[504] is 25.000000 + 25.000000 = 50.000000
a[505] + b[505] == out[505] is 26.000000 + 26.000000 = 52.000000
a[506] + b[506] == out[506] is 27.000000 + 27.000000 = 54.000000
a[507] + b[507] == out[507] is 28.000000 + 28.000000 = 56.000000
a[508] + b[508] == out[508] is 29.000000 + 29.000000 = 58.000000
a[509] + b[509] == out[509] is 30.000000 + 30.000000 = 60.000000
a[510] + b[510] == out[510] is 31.000000 + 31.000000 = 62.000000
a[511] + b[511] == out[511] is 32.000000 + 32.000000 = 64.000000
a[512] + b[512] == out[512] is 1.000000 + 1.000000 = 2.000000
a[513] + b[513] == out[513] is 2.000000 + 2.000000 = 4.000000
a[514] + b[514] == out[514] is 3.000000 + 3.000000 = 6.000000
a[515] + b[515] == out[515] is 4.000000 + 4.000000 = 8.000000
a[516] + b[516] == out[516] is 5.000000 + 5.000000 = 10.000000
a[517] + b[517] == out[517] is 6.000000 + 6.000000 = 12.000000
a[518] + b[518] == out[518] is 7.000000 + 7.000000 = 14.000000
a[519] + b[519] == out[519] is 8.000000 + 8.000000 = 16.000000
a[520] + b[520] == out[520] is 9.000000 + 9.000000 = 18.000000
a[521] + b[521] == out[521] is 10.000000 + 10.000000 = 20.000000
a[522] + b[522] == out[522] is 11.000000 + 11.000000 = 22.000000
a[523] + b[523] == out[523] is 12.000000 + 12.000000 = 24.000000
a[524] + b[524] == out[524] is 13.000000 + 13.000000 = 26.000000
a[525] + b[525] == out[525] is 14.000000 + 14.000000 = 28.000000
a[526] + b[526] == out[526] is 15.000000 + 15.000000 = 30.000000
a[527] + b[527] == out[527] is 16.000000 + 16.000000 = 32.000000
a[528] + b[528] == out[528] is 17.000000 + 17.000000 = 34.000000
a[529] + b[529] == out[529] is 18.000000 + 18.000000 = 36.000000
a[530] + b[530] == out[530] is 19.000000 + 19.000000 = 38.000000
a[531] + b[531] == out[531] is 20.000000 + 20.000000 = 40.000000
a[532] + b[532] == out[532] is 21.000000 + 21.000000 = 42.000000
a[533] + b[533] == out[533] is 22.000000 + 22.000000 = 44.000000
a[534] + b[534] == out[534] is 23.000000 + 23.000000 = 46.000000
a[535] + b[535] == out[535] is 24.000000 + 24.000000 = 48.000000
a[536] + b[536] == out[536] is 25.000000 + 25.000000 = 50.000000
a[537] + b[537] == out[537] is 26.000000 + 26.000000 = 52.000000
a[538] + b[538] == out[538] is 27.000000 + 27.000000 = 54.000000
a[539] + b[539] == out[539] is 28.000000 + 28.000000 = 56.000000
a[540] + b[540] == out[540] is 29.000000 + 29.000000 = 58.000000
a[541] + b[541] == out[541] is 30.000000 + 30.000000 = 60.000000
a[542] + b[542] == out[542] is 31.000000 + 31.000000 = 62.000000
a[543] + b[543] == out[543] is 32.000000 + 32.000000 = 64.000000
a[544] + b[544] == out[544] is 1.000000 + 1.000000 = 2.000000
a[545] + b[545] == out[545] is 2.000000 + 2.000000 = 4.000000
a[546] + b[546] == out[546] is 3.000000 + 3.000000 = 6.000000
a[547] + b[547] == out[547] is 4.000000 + 4.000000 = 8.000000
a[548] + b[548] == out[548] is 5.000000 + 5.000000 = 10.000000
a[549] + b[549] == out[549] is 6.000000 + 6.000000 = 12.000000
a[550] + b[550] == out[550] is 7.000000 + 7.000000 = 14.000000
a[551] + b[551] == out[551] is 8.000000 + 8.000000 = 16.000000
a[552] + b[552] == out[552] is 9.000000 + 9.000000 = 18.000000
a[553] + b[553] == out[553] is 10.000000 + 10.000000 = 20.000000
a[554] + b[554] == out[554] is 11.000000 + 11.000000 = 22.000000
a[555] + b[555] == out[555] is 12.000000 + 12.000000 = 24.000000
a[556] + b[556] == out[556] is 13.000000 + 13.000000 = 26.000000
a[557] + b[557] == out[557] is 14.000000 + 14.000000 = 28.000000
a[558] + b[558] == out[558] is 15.000000 + 15.000000 = 30.000000
a[559] + b[559] == out[559] is 16.000000 + 16.000000 = 32.000000
a[560] + b[560] == out[560] is 17.000000 + 17.000000 = 34.000000
a[561] + b[561] == out[561] is 18.000000 + 18.000000 = 36.000000
a[562] + b[562] == out[562] is 19.000000 + 19.000000 = 38.000000
a[563] + b[563] == out[563] is 20.000000 + 20.000000 = 40.000000
a[564] + b[564] == out[564] is 21.000000 + 21.000000 = 42.000000
a[565] + b[565] == out[565] is 22.000000 + 22.000000 = 44.000000
a[566] + b[566] == out[566] is 23.000000 + 23.000000 = 46.000000
a[567] + b[567] == out[567] is 24.000000 + 24.000000 = 48.000000
a[568] + b[568] == out[568] is 25.000000 + 25.000000 = 50.000000
a[569] + b[569] == out[569] is 26.000000 + 26.000000 = 52.000000
a[570] + b[570] == out[570] is 27.000000 + 27.000000 = 54.000000
a[571] + b[571] == out[571] is 28.000000 + 28.000000 = 56.000000
a[572] + b[572] == out[572] is 29.000000 + 29.000000 = 58.000000
a[573] + b[573] == out[573] is 30.000000 + 30.000000 = 60.000000
a[574] + b[574] == out[574] is 31.000000 + 31.000000 = 62.000000
a[575] + b[575] == out[575] is 32.000000 + 32.000000 = 64.000000
a[576] + b[576] == out[576] is 1.000000 + 1.000000 = 2.000000
a[577] + b[577] == out[577] is 2.000000 + 2.000000 = 4.000000
a[578] + b[578] == out[578] is 3.000000 + 3.000000 = 6.000000
a[579] + b[579] == out[579] is 4.000000 + 4.000000 = 8.000000
a[580] + b[580] == out[580] is 5.000000 + 5.000000 = 10.000000
a[581] + b[581] == out[581] is 6.000000 + 6.000000 = 12.000000
a[582] + b[582] == out[582] is 7.000000 + 7.000000 = 14.000000
a[583] + b[583] == out[583] is 8.000000 + 8.000000 = 16.000000
a[584] + b[584] == out[584] is 9.000000 + 9.000000 = 18.000000
a[585] + b[585] == out[585] is 10.000000 + 10.000000 = 20.000000
a[586] + b[586] == out[586] is 11.000000 + 11.000000 = 22.000000
a[587] + b[587] == out[587] is 12.000000 + 12.000000 = 24.000000
a[588] + b[588] == out[588] is 13.000000 + 13.000000 = 26.000000
a[589] + b[589] == out[589] is 14.000000 + 14.000000 = 28.000000
a[590] + b[590] == out[590] is 15.000000 + 15.000000 = 30.000000
a[591] + b[591] == out[591] is 16.000000 + 16.000000 = 32.000000
a[592] + b[592] == out[592] is 17.000000 + 17.000000 = 34.000000
a[593] + b[593] == out[593] is 18.000000 + 18.000000 = 36.000000
a[594] + b[594] == out[594] is 19.000000 + 19.000000 = 38.000000
a[595] + b[595] == out[595] is 20.000000 + 20.000000 = 40.000000
a[596] + b[596] == out[596] is 21.000000 + 21.000000 = 42.000000
a[597] + b[597] == out[597] is 22.000000 + 22.000000 = 44.000000
a[598] + b[598] == out[598] is 23.000000 + 23.000000 = 46.000000
a[599] + b[599] == out[599] is 24.000000 + 24.000000 = 48.000000
a[600] + b[600] == out[600] is 25.000000 + 25.000000 = 50.000000
a[601] + b[601] == out[601] is 26.000000 + 26.000000 = 52.000000
a[602] + b[602] == out[602] is 27.000000 + 27.000000 = 54.000000
a[603] + b[603] == out[603] is 28.000000 + 28.000000 = 56.000000
a[604] + b[604] == out[604] is 29.000000 + 29.000000 = 58.000000
a[605] + b[605] == out[605] is 30.000000 + 30.000000 = 60.000000
a[606] + b[606] == out[606] is 31.000000 + 31.000000 = 62.000000
a[607] + b[607] == out[607] is 32.000000 + 32.000000 = 64.000000
a[608] + b[608] == out[608] is 1.000000 + 1.000000 = 2.000000
a[609] + b[609] == out[609] is 2.000000 + 2.000000 = 4.000000
a[610] + b[610] == out[610] is 3.000000 + 3.000000 = 6.000000
a[611] + b[611] == out[611] is 4.000000 + 4.000000 = 8.000000
a[612] + b[612] == out[612] is 5.000000 + 5.000000 = 10.000000
a[613] + b[613] == out[613] is 6.000000 + 6.000000 = 12.000000
a[614] + b[614] == out[614] is 7.000000 + 7.000000 = 14.000000
a[615] + b[615] == out[615] is 8.000000 + 8.000000 = 16.000000
a[616] + b[616] == out[616] is 9.000000 + 9.000000 = 18.000000
a[617] + b[617] == out[617] is 10.000000 + 10.000000 = 20.000000
a[618] + b[618] == out[618] is 11.000000 + 11.000000 = 22.000000
a[619] + b[619] == out[619] is 12.000000 + 12.000000 = 24.000000
a[620] + b[620] == out[620] is 13.000000 + 13.000000 = 26.000000
a[621] + b[621] == out[621] is 14.000000 + 14.000000 = 28.000000
a[622] + b[622] == out[622] is 15.000000 + 15.000000 = 30.000000
a[623] + b[623] == out[623] is 16.000000 + 16.000000 = 32.000000
a[624] + b[624] == out[624] is 17.000000 + 17.000000 = 34.000000
a[625] + b[625] == out[625] is 18.000000 + 18.000000 = 36.000000
a[626] + b[626] == out[626] is 19.000000 + 19.000000 = 38.000000
a[627] + b[627] == out[627] is 20.000000 + 20.000000 = 40.000000
a[628] + b[628] == out[628] is 21.000000 + 21.000000 = 42.000000
a[629] + b[629] == out[629] is 22.000000 + 22.000000 = 44.000000
a[630] + b[630] == out[630] is 23.000000 + 23.000000 = 46.000000
a[631] + b[631] == out[631] is 24.000000 + 24.000000 = 48.000000
a[632] + b[632] == out[632] is 25.000000 + 25.000000 = 50.000000
a[633] + b[633] == out[633] is 26.000000 + 26.000000 = 52.000000
a[634] + b[634] == out[634] is 27.000000 + 27.000000 = 54.000000
a[635] + b[635] == out[635] is 28.000000 + 28.000000 = 56.000000
a[636] + b[636] == out[636] is 29.000000 + 29.000000 = 58.000000
a[637] + b[637] == out[637] is 30.000000 + 30.000000 = 60.000000
a[638] + b[638] == out[638] is 31.000000 + 31.000000 = 62.000000
a[639] + b[639] == out[639] is 32.000000 + 32.000000 = 64.000000
a[640] + b[640] == out[640] is 1.000000 + 1.000000 = 2.000000
a[641] + b[641] == out[641] is 2.000000 + 2.000000 = 4.000000
a[642] + b[642] == out[642] is 3.000000 + 3.000000 = 6.000000
a[643] + b[643] == out[643] is 4.000000 + 4.000000 = 8.000000
a[644] + b[644] == out[644] is 5.000000 + 5.000000 = 10.000000
a[645] + b[645] == out[645] is 6.000000 + 6.000000 = 12.000000
a[646] + b[646] == out[646] is 7.000000 + 7.000000 = 14.000000
a[647] + b[647] == out[647] is 8.000000 + 8.000000 = 16.000000
a[648] + b[648] == out[648] is 9.000000 + 9.000000 = 18.000000
a[649] + b[649] == out[649] is 10.000000 + 10.000000 = 20.000000
a[650] + b[650] == out[650] is 11.000000 + 11.000000 = 22.000000
a[651] + b[651] == out[651] is 12.000000 + 12.000000 = 24.000000
a[652] + b[652] == out[652] is 13.000000 + 13.000000 = 26.000000
a[653] + b[653] == out[653] is 14.000000 + 14.000000 = 28.000000
a[654] + b[654] == out[654] is 15.000000 + 15.000000 = 30.000000
a[655] + b[655] == out[655] is 16.000000 + 16.000000 = 32.000000
a[656] + b[656] == out[656] is 17.000000 + 17.000000 = 34.000000
a[657] + b[657] == out[657] is 18.000000 + 18.000000 = 36.000000
a[658] + b[658] == out[658] is 19.000000 + 19.000000 = 38.000000
a[659] + b[659] == out[659] is 20.000000 + 20.000000 = 40.000000
a[660] + b[660] == out[660] is 21.000000 + 21.000000 = 42.000000
a[661] + b[661] == out[661] is 22.000000 + 22.000000 = 44.000000
a[662] + b[662] == out[662] is 23.000000 + 23.000000 = 46.000000
a[663] + b[663] == out[663] is 24.000000 + 24.000000 = 48.000000
a[664] + b[664] == out[664] is 25.000000 + 25.000000 = 50.000000
a[665] + b[665] == out[665] is 26.000000 + 26.000000 = 52.000000
a[666] + b[666] == out[666] is 27.000000 + 27.000000 = 54.000000
a[667] + b[667] == out[667] is 28.000000 + 28.000000 = 56.000000
a[668] + b[668] == out[668] is 29.000000 + 29.000000 = 58.000000
a[669] + b[669] == out[669] is 30.000000 + 30.000000 = 60.000000
a[670] + b[670] == out[670] is 31.000000 + 31.000000 = 62.000000
a[671] + b[671] == out[671] is 32.000000 + 32.000000 = 64.000000
a[672] + b[672] == out[672] is 1.000000 + 1.000000 = 2.000000
a[673] + b[673] == out[673] is 2.000000 + 2.000000 = 4.000000
a[674] + b[674] == out[674] is 3.000000 + 3.000000 = 6.000000
a[675] + b[675] == out[675] is 4.000000 + 4.000000 = 8.000000
a[676] + b[676] == out[676] is 5.000000 + 5.000000 = 10.000000
a[677] + b[677] == out[677] is 6.000000 + 6.000000 = 12.000000
a[678] + b[678] == out[678] is 7.000000 + 7.000000 = 14.000000
a[679] + b[679] == out[679] is 8.000000 + 8.000000 = 16.000000
a[680] + b[680] == out[680] is 9.000000 + 9.000000 = 18.000000
a[681] + b[681] == out[681] is 10.000000 + 10.000000 = 20.000000
a[682] + b[682] == out[682] is 11.000000 + 11.000000 = 22.000000
a[683] + b[683] == out[683] is 12.000000 + 12.000000 = 24.000000
a[684] + b[684] == out[684] is 13.000000 + 13.000000 = 26.000000
a[685] + b[685] == out[685] is 14.000000 + 14.000000 = 28.000000
a[686] + b[686] == out[686] is 15.000000 + 15.000000 = 30.000000
a[687] + b[687] == out[687] is 16.000000 + 16.000000 = 32.000000
a[688] + b[688] == out[688] is 17.000000 + 17.000000 = 34.000000
a[689] + b[689] == out[689] is 18.000000 + 18.000000 = 36.000000
a[690] + b[690] == out[690] is 19.000000 + 19.000000 = 38.000000
a[691] + b[691] == out[691] is 20.000000 + 20.000000 = 40.000000
a[692] + b[692] == out[692] is 21.000000 + 21.000000 = 42.000000
a[693] + b[693] == out[693] is 22.000000 + 22.000000 = 44.000000
a[694] + b[694] == out[694] is 23.000000 + 23.000000 = 46.000000
a[695] + b[695] == out[695] is 24.000000 + 24.000000 = 48.000000
a[696] + b[696] == out[696] is 25.000000 + 25.000000 = 50.000000
a[697] + b[697] == out[697] is 26.000000 + 26.000000 = 52.000000
a[698] + b[698] == out[698] is 27.000000 + 27.000000 = 54.000000
a[699] + b[699] == out[699] is 28.000000 + 28.000000 = 56.000000
a[700] + b[700] == out[700] is 29.000000 + 29.000000 = 58.000000
a[701] + b[701] == out[701] is 30.000000 + 30.000000 = 60.000000
a[702] + b[702] == out[702] is 31.000000 + 31.000000 = 62.000000
a[703] + b[703] == out[703] is 32.000000 + 32.000000 = 64.000000
a[704] + b[704] == out[704] is 1.000000 + 1.000000 = 2.000000
a[705] + b[705] == out[705] is 2.000000 + 2.000000 = 4.000000
a[706] + b[706] == out[706] is 3.000000 + 3.000000 = 6.000000
a[707] + b[707] == out[707] is 4.000000 + 4.000000 = 8.000000
a[708] + b[708] == out[708] is 5.000000 + 5.000000 = 10.000000
a[709] + b[709] == out[709] is 6.000000 + 6.000000 = 12.000000
a[710] + b[710] == out[710] is 7.000000 + 7.000000 = 14.000000
a[711] + b[711] == out[711] is 8.000000 + 8.000000 = 16.000000
a[712] + b[712] == out[712] is 9.000000 + 9.000000 = 18.000000
a[713] + b[713] == out[713] is 10.000000 + 10.000000 = 20.000000
a[714] + b[714] == out[714] is 11.000000 + 11.000000 = 22.000000
a[715] + b[715] == out[715] is 12.000000 + 12.000000 = 24.000000
a[716] + b[716] == out[716] is 13.000000 + 13.000000 = 26.000000
a[717] + b[717] == out[717] is 14.000000 + 14.000000 = 28.000000
a[718] + b[718] == out[718] is 15.000000 + 15.000000 = 30.000000
a[719] + b[719] == out[719] is 16.000000 + 16.000000 = 32.000000
a[720] + b[720] == out[720] is 17.000000 + 17.000000 = 34.000000
a[721] + b[721] == out[721] is 18.000000 + 18.000000 = 36.000000
a[722] + b[722] == out[722] is 19.000000 + 19.000000 = 38.000000
a[723] + b[723] == out[723] is 20.000000 + 20.000000 = 40.000000
a[724] + b[724] == out[724] is 21.000000 + 21.000000 = 42.000000
a[725] + b[725] == out[725] is 22.000000 + 22.000000 = 44.000000
a[726] + b[726] == out[726] is 23.000000 + 23.000000 = 46.000000
a[727] + b[727] == out[727] is 24.000000 + 24.000000 = 48.000000
a[728] + b[728] == out[728] is 25.000000 + 25.000000 = 50.000000
a[729] + b[729] == out[729] is 26.000000 + 26.000000 = 52.000000
a[730] + b[730] == out[730] is 27.000000 + 27.000000 = 54.000000
a[731] + b[731] == out[731] is 28.000000 + 28.000000 = 56.000000
a[732] + b[732] == out[732] is 29.000000 + 29.000000 = 58.000000
a[733] + b[733] == out[733] is 30.000000 + 30.000000 = 60.000000
a[734] + b[734] == out[734] is 31.000000 + 31.000000 = 62.000000
a[735] + b[735] == out[735] is 32.000000 + 32.000000 = 64.000000
a[736] + b[736] == out[736] is 1.000000 + 1.000000 = 2.000000
a[737] + b[737] == out[737] is 2.000000 + 2.000000 = 4.000000
a[738] + b[738] == out[738] is 3.000000 + 3.000000 = 6.000000
a[739] + b[739] == out[739] is 4.000000 + 4.000000 = 8.000000
a[740] + b[740] == out[740] is 5.000000 + 5.000000 = 10.000000
a[741] + b[741] == out[741] is 6.000000 + 6.000000 = 12.000000
a[742] + b[742] == out[742] is 7.000000 + 7.000000 = 14.000000
a[743] + b[743] == out[743] is 8.000000 + 8.000000 = 16.000000
a[744] + b[744] == out[744] is 9.000000 + 9.000000 = 18.000000
a[745] + b[745] == out[745] is 10.000000 + 10.000000 = 20.000000
a[746] + b[746] == out[746] is 11.000000 + 11.000000 = 22.000000
a[747] + b[747] == out[747] is 12.000000 + 12.000000 = 24.000000
a[748] + b[748] == out[748] is 13.000000 + 13.000000 = 26.000000
a[749] + b[749] == out[749] is 14.000000 + 14.000000 = 28.000000
a[750] + b[750] == out[750] is 15.000000 + 15.000000 = 30.000000
a[751] + b[751] == out[751] is 16.000000 + 16.000000 = 32.000000
a[752] + b[752] == out[752] is 17.000000 + 17.000000 = 34.000000
a[753] + b[753] == out[753] is 18.000000 + 18.000000 = 36.000000
a[754] + b[754] == out[754] is 19.000000 + 19.000000 = 38.000000
a[755] + b[755] == out[755] is 20.000000 + 20.000000 = 40.000000
a[756] + b[756] == out[756] is 21.000000 + 21.000000 = 42.000000
a[757] + b[757] == out[757] is 22.000000 + 22.000000 = 44.000000
a[758] + b[758] == out[758] is 23.000000 + 23.000000 = 46.000000
a[759] + b[759] == out[759] is 24.000000 + 24.000000 = 48.000000
a[760] + b[760] == out[760] is 25.000000 + 25.000000 = 50.000000
a[761] + b[761] == out[761] is 26.000000 + 26.000000 = 52.000000
a[762] + b[762] == out[762] is 27.000000 + 27.000000 = 54.000000
a[763] + b[763] == out[763] is 28.000000 + 28.000000 = 56.000000
a[764] + b[764] == out[764] is 29.000000 + 29.000000 = 58.000000
a[765] + b[765] == out[765] is 30.000000 + 30.000000 = 60.000000
a[766] + b[766] == out[766] is 31.000000 + 31.000000 = 62.000000
a[767] + b[767] == out[767] is 32.000000 + 32.000000 = 64.000000
a[768] + b[768] == out[768] is 1.000000 + 1.000000 = 2.000000
a[769] + b[769] == out[769] is 2.000000 + 2.000000 = 4.000000
a[770] + b[770] == out[770] is 3.000000 + 3.000000 = 6.000000
a[771] + b[771] == out[771] is 4.000000 + 4.000000 = 8.000000
a[772] + b[772] == out[772] is 5.000000 + 5.000000 = 10.000000
a[773] + b[773] == out[773] is 6.000000 + 6.000000 = 12.000000
a[774] + b[774] == out[774] is 7.000000 + 7.000000 = 14.000000
a[775] + b[775] == out[775] is 8.000000 + 8.000000 = 16.000000
a[776] + b[776] == out[776] is 9.000000 + 9.000000 = 18.000000
a[777] + b[777] == out[777] is 10.000000 + 10.000000 = 20.000000
a[778] + b[778] == out[778] is 11.000000 + 11.000000 = 22.000000
a[779] + b[779] == out[779] is 12.000000 + 12.000000 = 24.000000
a[780] + b[780] == out[780] is 13.000000 + 13.000000 = 26.000000
a[781] + b[781] == out[781] is 14.000000 + 14.000000 = 28.000000
a[782] + b[782] == out[782] is 15.000000 + 15.000000 = 30.000000
a[783] + b[783] == out[783] is 16.000000 + 16.000000 = 32.000000
a[784] + b[784] == out[784] is 17.000000 + 17.000000 = 34.000000
a[785] + b[785] == out[785] is 18.000000 + 18.000000 = 36.000000
a[786] + b[786] == out[786] is 19.000000 + 19.000000 = 38.000000
a[787] + b[787] == out[787] is 20.000000 + 20.000000 = 40.000000
a[788] + b[788] == out[788] is 21.000000 + 21.000000 = 42.000000
a[789] + b[789] == out[789] is 22.000000 + 22.000000 = 44.000000
a[790] + b[790] == out[790] is 23.000000 + 23.000000 = 46.000000
a[791] + b[791] == out[791] is 24.000000 + 24.000000 = 48.000000
a[792] + b[792] == out[792] is 25.000000 + 25.000000 = 50.000000
a[793] + b[793] == out[793] is 26.000000 + 26.000000 = 52.000000
a[794] + b[794] == out[794] is 27.000000 + 27.000000 = 54.000000
a[795] + b[795] == out[795] is 28.000000 + 28.000000 = 56.000000
a[796] + b[796] == out[796] is 29.000000 + 29.000000 = 58.000000
a[797] + b[797] == out[797] is 30.000000 + 30.000000 = 60.000000
a[798] + b[798] == out[798] is 31.000000 + 31.000000 = 62.000000
a[799] + b[799] == out[799] is 32.000000 + 32.000000 = 64.000000
a[800] + b[800] == out[800] is 1.000000 + 1.000000 = 2.000000
a[801] + b[801] == out[801] is 2.000000 + 2.000000 = 4.000000
a[802] + b[802] == out[802] is 3.000000 + 3.000000 = 6.000000
a[803] + b[803] == out[803] is 4.000000 + 4.000000 = 8.000000
a[804] + b[804] == out[804] is 5.000000 + 5.000000 = 10.000000
a[805] + b[805] == out[805] is 6.000000 + 6.000000 = 12.000000
a[806] + b[806] == out[806] is 7.000000 + 7.000000 = 14.000000
a[807] + b[807] == out[807] is 8.000000 + 8.000000 = 16.000000
a[808] + b[808] == out[808] is 9.000000 + 9.000000 = 18.000000
a[809] + b[809] == out[809] is 10.000000 + 10.000000 = 20.000000
a[810] + b[810] == out[810] is 11.000000 + 11.000000 = 22.000000
a[811] + b[811] == out[811] is 12.000000 + 12.000000 = 24.000000
a[812] + b[812] == out[812] is 13.000000 + 13.000000 = 26.000000
a[813] + b[813] == out[813] is 14.000000 + 14.000000 = 28.000000
a[814] + b[814] == out[814] is 15.000000 + 15.000000 = 30.000000
a[815] + b[815] == out[815] is 16.000000 + 16.000000 = 32.000000
a[816] + b[816] == out[816] is 17.000000 + 17.000000 = 34.000000
a[817] + b[817] == out[817] is 18.000000 + 18.000000 = 36.000000
a[818] + b[818] == out[818] is 19.000000 + 19.000000 = 38.000000
a[819] + b[819] == out[819] is 20.000000 + 20.000000 = 40.000000
a[820] + b[820] == out[820] is 21.000000 + 21.000000 = 42.000000
a[821] + b[821] == out[821] is 22.000000 + 22.000000 = 44.000000
a[822] + b[822] == out[822] is 23.000000 + 23.000000 = 46.000000
a[823] + b[823] == out[823] is 24.000000 + 24.000000 = 48.000000
a[824] + b[824] == out[824] is 25.000000 + 25.000000 = 50.000000
a[825] + b[825] == out[825] is 26.000000 + 26.000000 = 52.000000
a[826] + b[826] == out[826] is 27.000000 + 27.000000 = 54.000000
a[827] + b[827] == out[827] is 28.000000 + 28.000000 = 56.000000
a[828] + b[828] == out[828] is 29.000000 + 29.000000 = 58.000000
a[829] + b[829] == out[829] is 30.000000 + 30.000000 = 60.000000
a[830] + b[830] == out[830] is 31.000000 + 31.000000 = 62.000000
a[831] + b[831] == out[831] is 32.000000 + 32.000000 = 64.000000
a[832] + b[832] == out[832] is 1.000000 + 1.000000 = 2.000000
a[833] + b[833] == out[833] is 2.000000 + 2.000000 = 4.000000
a[834] + b[834] == out[834] is 3.000000 + 3.000000 = 6.000000
a[835] + b[835] == out[835] is 4.000000 + 4.000000 = 8.000000
a[836] + b[836] == out[836] is 5.000000 + 5.000000 = 10.000000
a[837] + b[837] == out[837] is 6.000000 + 6.000000 = 12.000000
a[838] + b[838] == out[838] is 7.000000 + 7.000000 = 14.000000
a[839] + b[839] == out[839] is 8.000000 + 8.000000 = 16.000000
a[840] + b[840] == out[840] is 9.000000 + 9.000000 = 18.000000
a[841] + b[841] == out[841] is 10.000000 + 10.000000 = 20.000000
a[842] + b[842] == out[842] is 11.000000 + 11.000000 = 22.000000
a[843] + b[843] == out[843] is 12.000000 + 12.000000 = 24.000000
a[844] + b[844] == out[844] is 13.000000 + 13.000000 = 26.000000
a[845] + b[845] == out[845] is 14.000000 + 14.000000 = 28.000000
a[846] + b[846] == out[846] is 15.000000 + 15.000000 = 30.000000
a[847] + b[847] == out[847] is 16.000000 + 16.000000 = 32.000000
a[848] + b[848] == out[848] is 17.000000 + 17.000000 = 34.000000
a[849] + b[849] == out[849] is 18.000000 + 18.000000 = 36.000000
a[850] + b[850] == out[850] is 19.000000 + 19.000000 = 38.000000
a[851] + b[851] == out[851] is 20.000000 + 20.000000 = 40.000000
a[852] + b[852] == out[852] is 21.000000 + 21.000000 = 42.000000
a[853] + b[853] == out[853] is 22.000000 + 22.000000 = 44.000000
a[854] + b[854] == out[854] is 23.000000 + 23.000000 = 46.000000
a[855] + b[855] == out[855] is 24.000000 + 24.000000 = 48.000000
a[856] + b[856] == out[856] is 25.000000 + 25.000000 = 50.000000
a[857] + b[857] == out[857] is 26.000000 + 26.000000 = 52.000000
a[858] + b[858] == out[858] is 27.000000 + 27.000000 = 54.000000
a[859] + b[859] == out[859] is 28.000000 + 28.000000 = 56.000000
a[860] + b[860] == out[860] is 29.000000 + 29.000000 = 58.000000
a[861] + b[861] == out[861] is 30.000000 + 30.000000 = 60.000000
a[862] + b[862] == out[862] is 31.000000 + 31.000000 = 62.000000
a[863] + b[863] == out[863] is 32.000000 + 32.000000 = 64.000000
a[864] + b[864] == out[864] is 1.000000 + 1.000000 = 2.000000
a[865] + b[865] == out[865] is 2.000000 + 2.000000 = 4.000000
a[866] + b[866] == out[866] is 3.000000 + 3.000000 = 6.000000
a[867] + b[867] == out[867] is 4.000000 + 4.000000 = 8.000000
a[868] + b[868] == out[868] is 5.000000 + 5.000000 = 10.000000
a[869] + b[869] == out[869] is 6.000000 + 6.000000 = 12.000000
a[870] + b[870] == out[870] is 7.000000 + 7.000000 = 14.000000
a[871] + b[871] == out[871] is 8.000000 + 8.000000 = 16.000000
a[872] + b[872] == out[872] is 9.000000 + 9.000000 = 18.000000
a[873] + b[873] == out[873] is 10.000000 + 10.000000 = 20.000000
a[874] + b[874] == out[874] is 11.000000 + 11.000000 = 22.000000
a[875] + b[875] == out[875] is 12.000000 + 12.000000 = 24.000000
a[876] + b[876] == out[876] is 13.000000 + 13.000000 = 26.000000
a[877] + b[877] == out[877] is 14.000000 + 14.000000 = 28.000000
a[878] + b[878] == out[878] is 15.000000 + 15.000000 = 30.000000
a[879] + b[879] == out[879] is 16.000000 + 16.000000 = 32.000000
a[880] + b[880] == out[880] is 17.000000 + 17.000000 = 34.000000
a[881] + b[881] == out[881] is 18.000000 + 18.000000 = 36.000000
a[882] + b[882] == out[882] is 19.000000 + 19.000000 = 38.000000
a[883] + b[883] == out[883] is 20.000000 + 20.000000 = 40.000000
a[884] + b[884] == out[884] is 21.000000 + 21.000000 = 42.000000
a[885] + b[885] == out[885] is 22.000000 + 22.000000 = 44.000000
a[886] + b[886] == out[886] is 23.000000 + 23.000000 = 46.000000
a[887] + b[887] == out[887] is 24.000000 + 24.000000 = 48.000000
a[888] + b[888] == out[888] is 25.000000 + 25.000000 = 50.000000
a[889] + b[889] == out[889] is 26.000000 + 26.000000 = 52.000000
a[890] + b[890] == out[890] is 27.000000 + 27.000000 = 54.000000
a[891] + b[891] == out[891] is 28.000000 + 28.000000 = 56.000000
a[892] + b[892] == out[892] is 29.000000 + 29.000000 = 58.000000
a[893] + b[893] == out[893] is 30.000000 + 30.000000 = 60.000000
a[894] + b[894] == out[894] is 31.000000 + 31.000000 = 62.000000
a[895] + b[895] == out[895] is 32.000000 + 32.000000 = 64.000000
a[896] + b[896] == out[896] is 1.000000 + 1.000000 = 2.000000
a[897] + b[897] == out[897] is 2.000000 + 2.000000 = 4.000000
a[898] + b[898] == out[898] is 3.000000 + 3.000000 = 6.000000
a[899] + b[899] == out[899] is 4.000000 + 4.000000 = 8.000000
a[900] + b[900] == out[900] is 5.000000 + 5.000000 = 10.000000
a[901] + b[901] == out[901] is 6.000000 + 6.000000 = 12.000000
a[902] + b[902] == out[902] is 7.000000 + 7.000000 = 14.000000
a[903] + b[903] == out[903] is 8.000000 + 8.000000 = 16.000000
a[904] + b[904] == out[904] is 9.000000 + 9.000000 = 18.000000
a[905] + b[905] == out[905] is 10.000000 + 10.000000 = 20.000000
a[906] + b[906] == out[906] is 11.000000 + 11.000000 = 22.000000
a[907] + b[907] == out[907] is 12.000000 + 12.000000 = 24.000000
a[908] + b[908] == out[908] is 13.000000 + 13.000000 = 26.000000
a[909] + b[909] == out[909] is 14.000000 + 14.000000 = 28.000000
a[910] + b[910] == out[910] is 15.000000 + 15.000000 = 30.000000
a[911] + b[911] == out[911] is 16.000000 + 16.000000 = 32.000000
a[912] + b[912] == out[912] is 17.000000 + 17.000000 = 34.000000
a[913] + b[913] == out[913] is 18.000000 + 18.000000 = 36.000000
a[914] + b[914] == out[914] is 19.000000 + 19.000000 = 38.000000
a[915] + b[915] == out[915] is 20.000000 + 20.000000 = 40.000000
a[916] + b[916] == out[916] is 21.000000 + 21.000000 = 42.000000
a[917] + b[917] == out[917] is 22.000000 + 22.000000 = 44.000000
a[918] + b[918] == out[918] is 23.000000 + 23.000000 = 46.000000
a[919] + b[919] == out[919] is 24.000000 + 24.000000 = 48.000000
a[920] + b[920] == out[920] is 25.000000 + 25.000000 = 50.000000
a[921] + b[921] == out[921] is 26.000000 + 26.000000 = 52.000000
a[922] + b[922] == out[922] is 27.000000 + 27.000000 = 54.000000
a[923] + b[923] == out[923] is 28.000000 + 28.000000 = 56.000000
a[924] + b[924] == out[924] is 29.000000 + 29.000000 = 58.000000
a[925] + b[925] == out[925] is 30.000000 + 30.000000 = 60.000000
a[926] + b[926] == out[926] is 31.000000 + 31.000000 = 62.000000
a[927] + b[927] == out[927] is 32.000000 + 32.000000 = 64.000000
a[928] + b[928] == out[928] is 1.000000 + 1.000000 = 2.000000
a[929] + b[929] == out[929] is 2.000000 + 2.000000 = 4.000000
a[930] + b[930] == out[930] is 3.000000 + 3.000000 = 6.000000
a[931] + b[931] == out[931] is 4.000000 + 4.000000 = 8.000000
a[932] + b[932] == out[932] is 5.000000 + 5.000000 = 10.000000
a[933] + b[933] == out[933] is 6.000000 + 6.000000 = 12.000000
a[934] + b[934] == out[934] is 7.000000 + 7.000000 = 14.000000
a[935] + b[935] == out[935] is 8.000000 + 8.000000 = 16.000000
a[936] + b[936] == out[936] is 9.000000 + 9.000000 = 18.000000
a[937] + b[937] == out[937] is 10.000000 + 10.000000 = 20.000000
a[938] + b[938] == out[938] is 11.000000 + 11.000000 = 22.000000
a[939] + b[939] == out[939] is 12.000000 + 12.000000 = 24.000000
a[940] + b[940] == out[940] is 13.000000 + 13.000000 = 26.000000
a[941] + b[941] == out[941] is 14.000000 + 14.000000 = 28.000000
a[942] + b[942] == out[942] is 15.000000 + 15.000000 = 30.000000
a[943] + b[943] == out[943] is 16.000000 + 16.000000 = 32.000000
a[944] + b[944] == out[944] is 17.000000 + 17.000000 = 34.000000
a[945] + b[945] == out[945] is 18.000000 + 18.000000 = 36.000000
a[946] + b[946] == out[946] is 19.000000 + 19.000000 = 38.000000
a[947] + b[947] == out[947] is 20.000000 + 20.000000 = 40.000000
a[948] + b[948] == out[948] is 21.000000 + 21.000000 = 42.000000
a[949] + b[949] == out[949] is 22.000000 + 22.000000 = 44.000000
a[950] + b[950] == out[950] is 23.000000 + 23.000000 = 46.000000
a[951] + b[951] == out[951] is 24.000000 + 24.000000 = 48.000000
a[952] + b[952] == out[952] is 25.000000 + 25.000000 = 50.000000
a[953] + b[953] == out[953] is 26.000000 + 26.000000 = 52.000000
a[954] + b[954] == out[954] is 27.000000 + 27.000000 = 54.000000
a[955] + b[955] == out[955] is 28.000000 + 28.000000 = 56.000000
a[956] + b[956] == out[956] is 29.000000 + 29.000000 = 58.000000
a[957] + b[957] == out[957] is 30.000000 + 30.000000 = 60.000000
a[958] + b[958] == out[958] is 31.000000 + 31.000000 = 62.000000
a[959] + b[959] == out[959] is 32.000000 + 32.000000 = 64.000000
a[960] + b[960] == out[960] is 1.000000 + 1.000000 = 2.000000
a[961] + b[961] == out[961] is 2.000000 + 2.000000 = 4.000000
a[962] + b[962] == out[962] is 3.000000 + 3.000000 = 6.000000
a[963] + b[963] == out[963] is 4.000000 + 4.000000 = 8.000000
a[964] + b[964] == out[964] is 5.000000 + 5.000000 = 10.000000
a[965] + b[965] == out[965] is 6.000000 + 6.000000 = 12.000000
a[966] + b[966] == out[966] is 7.000000 + 7.000000 = 14.000000
a[967] + b[967] == out[967] is 8.000000 + 8.000000 = 16.000000
a[968] + b[968] == out[968] is 9.000000 + 9.000000 = 18.000000
a[969] + b[969] == out[969] is 10.000000 + 10.000000 = 20.000000
a[970] + b[970] == out[970] is 11.000000 + 11.000000 = 22.000000
a[971] + b[971] == out[971] is 12.000000 + 12.000000 = 24.000000
a[972] + b[972] == out[972] is 13.000000 + 13.000000 = 26.000000
a[973] + b[973] == out[973] is 14.000000 + 14.000000 = 28.000000
a[974] + b[974] == out[974] is 15.000000 + 15.000000 = 30.000000
a[975] + b[975] == out[975] is 16.000000 + 16.000000 = 32.000000
a[976] + b[976] == out[976] is 17.000000 + 17.000000 = 34.000000
a[977] + b[977] == out[977] is 18.000000 + 18.000000 = 36.000000
a[978] + b[978] == out[978] is 19.000000 + 19.000000 = 38.000000
a[979] + b[979] == out[979] is 20.000000 + 20.000000 = 40.000000
a[980] + b[980] == out[980] is 21.000000 + 21.000000 = 42.000000
a[981] + b[981] == out[981] is 22.000000 + 22.000000 = 44.000000
a[982] + b[982] == out[982] is 23.000000 + 23.000000 = 46.000000
a[983] + b[983] == out[983] is 24.000000 + 24.000000 = 48.000000
a[984] + b[984] == out[984] is 25.000000 + 25.000000 = 50.000000
a[985] + b[985] == out[985] is 26.000000 + 26.000000 = 52.000000
a[986] + b[986] == out[986] is 27.000000 + 27.000000 = 54.000000
a[987] + b[987] == out[987] is 28.000000 + 28.000000 = 56.000000
a[988] + b[988] == out[988] is 29.000000 + 29.000000 = 58.000000
a[989] + b[989] == out[989] is 30.000000 + 30.000000 = 60.000000
a[990] + b[990] == out[990] is 31.000000 + 31.000000 = 62.000000
a[991] + b[991] == out[991] is 32.000000 + 32.000000 = 64.000000
a[992] + b[992] == out[992] is 1.000000 + 1.000000 = 2.000000
a[993] + b[993] == out[993] is 2.000000 + 2.000000 = 4.000000
a[994] + b[994] == out[994] is 3.000000 + 3.000000 = 6.000000
a[995] + b[995] == out[995] is 4.000000 + 4.000000 = 8.000000
a[996] + b[996] == out[996] is 5.000000 + 5.000000 = 10.000000
a[997] + b[997] == out[997] is 6.000000 + 6.000000 = 12.000000
a[998] + b[998] == out[998] is 7.000000 + 7.000000 = 14.000000
a[999] + b[999] == out[999] is 8.000000 + 8.000000 = 16.000000
a[1000] + b[1000] == out[1000] is 9.000000 + 9.000000 = 18.000000
a[1001] + b[1001] == out[1001] is 10.000000 + 10.000000 = 20.000000
a[1002] + b[1002] == out[1002] is 11.000000 + 11.000000 = 22.000000
a[1003] + b[1003] == out[1003] is 12.000000 + 12.000000 = 24.000000
a[1004] + b[1004] == out[1004] is 13.000000 + 13.000000 = 26.000000
a[1005] + b[1005] == out[1005] is 14.000000 + 14.000000 = 28.000000
a[1006] + b[1006] == out[1006] is 15.000000 + 15.000000 = 30.000000
a[1007] + b[1007] == out[1007] is 16.000000 + 16.000000 = 32.000000
a[1008] + b[1008] == out[1008] is 17.000000 + 17.000000 = 34.000000
a[1009] + b[1009] == out[1009] is 18.000000 + 18.000000 = 36.000000
a[1010] + b[1010] == out[1010] is 19.000000 + 19.000000 = 38.000000
a[1011] + b[1011] == out[1011] is 20.000000 + 20.000000 = 40.000000
a[1012] + b[1012] == out[1012] is 21.000000 + 21.000000 = 42.000000
a[1013] + b[1013] == out[1013] is 22.000000 + 22.000000 = 44.000000
a[1014] + b[1014] == out[1014] is 23.000000 + 23.000000 = 46.000000
a[1015] + b[1015] == out[1015] is 24.000000 + 24.000000 = 48.000000
a[1016] + b[1016] == out[1016] is 25.000000 + 25.000000 = 50.000000
a[1017] + b[1017] == out[1017] is 26.000000 + 26.000000 = 52.000000
a[1018] + b[1018] == out[1018] is 27.000000 + 27.000000 = 54.000000
a[1019] + b[1019] == out[1019] is 28.000000 + 28.000000 = 56.000000
a[1020] + b[1020] == out[1020] is 29.000000 + 29.000000 = 58.000000
a[1021] + b[1021] == out[1021] is 30.000000 + 30.000000 = 60.000000
a[1022] + b[1022] == out[1022] is 31.000000 + 31.000000 = 62.000000
a[1023] + b[1023] == out[1023] is 32.000000 + 32.000000 = 64.000000
Passed
dim 2, grid 1, block NxN for matrix with one dim array
#include <stdio.h>
#include <cuda.h>
#include <assert.h>
#include <cuda_runtime.h>
#include <curand_kernel.h>
#define n 32
#define N n*n
__global__ void add(float *a, float *b, float *c){
int tidx = threadIdx.x;
int tidy = threadIdx.y;
for(int i = 0; i <= n; i++){
c[tidx + tidy*i] = a[tidx + tidy*i] + b[tidx + tidy*i];
}
}
int main()
{
float a[N], b[N], out[N];
float *d_a, *d_b, *d_out;
for(int i = 0; i < n; i++){
for (int j = 0; j < n; j++){
a[i+j*n] = 1.0f;
b[i+j*n] = 2.0f;
}
}
// Allocate device memory
cudaMalloc((void**)&d_a, sizeof(float) * N);
cudaMalloc((void**)&d_b, sizeof(float) * N);
cudaMalloc((void**)&d_out, sizeof(float) * N);
// Transfer data from host to device memory
cudaMemcpy(d_a, a, sizeof(float) * N, cudaMemcpyHostToDevice);
cudaMemcpy(d_b, b, sizeof(float) * N, cudaMemcpyHostToDevice);
dim3 BlockPerGrid(1, 1, 1);
dim3 ThreadsPerBlock(n, n, 1);
add <<< BlockPerGrid, ThreadsPerBlock >>>(d_a, d_b, d_out);
cudaMemcpy(out, d_out, sizeof(int) * N, cudaMemcpyDeviceToHost);
for(int i=0; i < N; i++){
printf("a[%d] + b[%d] == out[%d] is %f + %f = %f\n", i,i,i, a[i], b[i], out[i]);
}
printf("Passed\n");
cudaFree(d_out);
cudaFree(d_b);
cudaFree(d_a);
return 0;
}
cd babel
nvcc gpu_vector_add_dim2_grid1_blockNxN_matrix_witharray.cu -o gpu_vector_add_dim2_grid1_blockNxN_matrix_witharray
./gpu_vector_add_dim2_grid1_blockNxN_matrix_witharray
a[0] + b[0] == out[0] is 1.000000 + 2.000000 = 3.000000
a[1] + b[1] == out[1] is 1.000000 + 2.000000 = 3.000000
a[2] + b[2] == out[2] is 1.000000 + 2.000000 = 3.000000
a[3] + b[3] == out[3] is 1.000000 + 2.000000 = 3.000000
a[4] + b[4] == out[4] is 1.000000 + 2.000000 = 3.000000
a[5] + b[5] == out[5] is 1.000000 + 2.000000 = 3.000000
a[6] + b[6] == out[6] is 1.000000 + 2.000000 = 3.000000
a[7] + b[7] == out[7] is 1.000000 + 2.000000 = 3.000000
a[8] + b[8] == out[8] is 1.000000 + 2.000000 = 3.000000
a[9] + b[9] == out[9] is 1.000000 + 2.000000 = 3.000000
a[10] + b[10] == out[10] is 1.000000 + 2.000000 = 3.000000
a[11] + b[11] == out[11] is 1.000000 + 2.000000 = 3.000000
a[12] + b[12] == out[12] is 1.000000 + 2.000000 = 3.000000
a[13] + b[13] == out[13] is 1.000000 + 2.000000 = 3.000000
a[14] + b[14] == out[14] is 1.000000 + 2.000000 = 3.000000
a[15] + b[15] == out[15] is 1.000000 + 2.000000 = 3.000000
a[16] + b[16] == out[16] is 1.000000 + 2.000000 = 3.000000
a[17] + b[17] == out[17] is 1.000000 + 2.000000 = 3.000000
a[18] + b[18] == out[18] is 1.000000 + 2.000000 = 3.000000
a[19] + b[19] == out[19] is 1.000000 + 2.000000 = 3.000000
a[20] + b[20] == out[20] is 1.000000 + 2.000000 = 3.000000
a[21] + b[21] == out[21] is 1.000000 + 2.000000 = 3.000000
a[22] + b[22] == out[22] is 1.000000 + 2.000000 = 3.000000
a[23] + b[23] == out[23] is 1.000000 + 2.000000 = 3.000000
a[24] + b[24] == out[24] is 1.000000 + 2.000000 = 3.000000
a[25] + b[25] == out[25] is 1.000000 + 2.000000 = 3.000000
a[26] + b[26] == out[26] is 1.000000 + 2.000000 = 3.000000
a[27] + b[27] == out[27] is 1.000000 + 2.000000 = 3.000000
a[28] + b[28] == out[28] is 1.000000 + 2.000000 = 3.000000
a[29] + b[29] == out[29] is 1.000000 + 2.000000 = 3.000000
a[30] + b[30] == out[30] is 1.000000 + 2.000000 = 3.000000
a[31] + b[31] == out[31] is 1.000000 + 2.000000 = 3.000000
a[32] + b[32] == out[32] is 1.000000 + 2.000000 = 3.000000
a[33] + b[33] == out[33] is 1.000000 + 2.000000 = 3.000000
a[34] + b[34] == out[34] is 1.000000 + 2.000000 = 3.000000
a[35] + b[35] == out[35] is 1.000000 + 2.000000 = 3.000000
a[36] + b[36] == out[36] is 1.000000 + 2.000000 = 3.000000
a[37] + b[37] == out[37] is 1.000000 + 2.000000 = 3.000000
a[38] + b[38] == out[38] is 1.000000 + 2.000000 = 3.000000
a[39] + b[39] == out[39] is 1.000000 + 2.000000 = 3.000000
a[40] + b[40] == out[40] is 1.000000 + 2.000000 = 3.000000
a[41] + b[41] == out[41] is 1.000000 + 2.000000 = 3.000000
a[42] + b[42] == out[42] is 1.000000 + 2.000000 = 3.000000
a[43] + b[43] == out[43] is 1.000000 + 2.000000 = 3.000000
a[44] + b[44] == out[44] is 1.000000 + 2.000000 = 3.000000
a[45] + b[45] == out[45] is 1.000000 + 2.000000 = 3.000000
a[46] + b[46] == out[46] is 1.000000 + 2.000000 = 3.000000
a[47] + b[47] == out[47] is 1.000000 + 2.000000 = 3.000000
a[48] + b[48] == out[48] is 1.000000 + 2.000000 = 3.000000
a[49] + b[49] == out[49] is 1.000000 + 2.000000 = 3.000000
a[50] + b[50] == out[50] is 1.000000 + 2.000000 = 3.000000
a[51] + b[51] == out[51] is 1.000000 + 2.000000 = 3.000000
a[52] + b[52] == out[52] is 1.000000 + 2.000000 = 3.000000
a[53] + b[53] == out[53] is 1.000000 + 2.000000 = 3.000000
a[54] + b[54] == out[54] is 1.000000 + 2.000000 = 3.000000
a[55] + b[55] == out[55] is 1.000000 + 2.000000 = 3.000000
a[56] + b[56] == out[56] is 1.000000 + 2.000000 = 3.000000
a[57] + b[57] == out[57] is 1.000000 + 2.000000 = 3.000000
a[58] + b[58] == out[58] is 1.000000 + 2.000000 = 3.000000
a[59] + b[59] == out[59] is 1.000000 + 2.000000 = 3.000000
a[60] + b[60] == out[60] is 1.000000 + 2.000000 = 3.000000
a[61] + b[61] == out[61] is 1.000000 + 2.000000 = 3.000000
a[62] + b[62] == out[62] is 1.000000 + 2.000000 = 3.000000
a[63] + b[63] == out[63] is 1.000000 + 2.000000 = 3.000000
a[64] + b[64] == out[64] is 1.000000 + 2.000000 = 3.000000
a[65] + b[65] == out[65] is 1.000000 + 2.000000 = 3.000000
a[66] + b[66] == out[66] is 1.000000 + 2.000000 = 3.000000
a[67] + b[67] == out[67] is 1.000000 + 2.000000 = 3.000000
a[68] + b[68] == out[68] is 1.000000 + 2.000000 = 3.000000
a[69] + b[69] == out[69] is 1.000000 + 2.000000 = 3.000000
a[70] + b[70] == out[70] is 1.000000 + 2.000000 = 3.000000
a[71] + b[71] == out[71] is 1.000000 + 2.000000 = 3.000000
a[72] + b[72] == out[72] is 1.000000 + 2.000000 = 3.000000
a[73] + b[73] == out[73] is 1.000000 + 2.000000 = 3.000000
a[74] + b[74] == out[74] is 1.000000 + 2.000000 = 3.000000
a[75] + b[75] == out[75] is 1.000000 + 2.000000 = 3.000000
a[76] + b[76] == out[76] is 1.000000 + 2.000000 = 3.000000
a[77] + b[77] == out[77] is 1.000000 + 2.000000 = 3.000000
a[78] + b[78] == out[78] is 1.000000 + 2.000000 = 3.000000
a[79] + b[79] == out[79] is 1.000000 + 2.000000 = 3.000000
a[80] + b[80] == out[80] is 1.000000 + 2.000000 = 3.000000
a[81] + b[81] == out[81] is 1.000000 + 2.000000 = 3.000000
a[82] + b[82] == out[82] is 1.000000 + 2.000000 = 3.000000
a[83] + b[83] == out[83] is 1.000000 + 2.000000 = 3.000000
a[84] + b[84] == out[84] is 1.000000 + 2.000000 = 3.000000
a[85] + b[85] == out[85] is 1.000000 + 2.000000 = 3.000000
a[86] + b[86] == out[86] is 1.000000 + 2.000000 = 3.000000
a[87] + b[87] == out[87] is 1.000000 + 2.000000 = 3.000000
a[88] + b[88] == out[88] is 1.000000 + 2.000000 = 3.000000
a[89] + b[89] == out[89] is 1.000000 + 2.000000 = 3.000000
a[90] + b[90] == out[90] is 1.000000 + 2.000000 = 3.000000
a[91] + b[91] == out[91] is 1.000000 + 2.000000 = 3.000000
a[92] + b[92] == out[92] is 1.000000 + 2.000000 = 3.000000
a[93] + b[93] == out[93] is 1.000000 + 2.000000 = 3.000000
a[94] + b[94] == out[94] is 1.000000 + 2.000000 = 3.000000
a[95] + b[95] == out[95] is 1.000000 + 2.000000 = 3.000000
a[96] + b[96] == out[96] is 1.000000 + 2.000000 = 3.000000
a[97] + b[97] == out[97] is 1.000000 + 2.000000 = 3.000000
a[98] + b[98] == out[98] is 1.000000 + 2.000000 = 3.000000
a[99] + b[99] == out[99] is 1.000000 + 2.000000 = 3.000000
a[100] + b[100] == out[100] is 1.000000 + 2.000000 = 3.000000
a[101] + b[101] == out[101] is 1.000000 + 2.000000 = 3.000000
a[102] + b[102] == out[102] is 1.000000 + 2.000000 = 3.000000
a[103] + b[103] == out[103] is 1.000000 + 2.000000 = 3.000000
a[104] + b[104] == out[104] is 1.000000 + 2.000000 = 3.000000
a[105] + b[105] == out[105] is 1.000000 + 2.000000 = 3.000000
a[106] + b[106] == out[106] is 1.000000 + 2.000000 = 3.000000
a[107] + b[107] == out[107] is 1.000000 + 2.000000 = 3.000000
a[108] + b[108] == out[108] is 1.000000 + 2.000000 = 3.000000
a[109] + b[109] == out[109] is 1.000000 + 2.000000 = 3.000000
a[110] + b[110] == out[110] is 1.000000 + 2.000000 = 3.000000
a[111] + b[111] == out[111] is 1.000000 + 2.000000 = 3.000000
a[112] + b[112] == out[112] is 1.000000 + 2.000000 = 3.000000
a[113] + b[113] == out[113] is 1.000000 + 2.000000 = 3.000000
a[114] + b[114] == out[114] is 1.000000 + 2.000000 = 3.000000
a[115] + b[115] == out[115] is 1.000000 + 2.000000 = 3.000000
a[116] + b[116] == out[116] is 1.000000 + 2.000000 = 3.000000
a[117] + b[117] == out[117] is 1.000000 + 2.000000 = 3.000000
a[118] + b[118] == out[118] is 1.000000 + 2.000000 = 3.000000
a[119] + b[119] == out[119] is 1.000000 + 2.000000 = 3.000000
a[120] + b[120] == out[120] is 1.000000 + 2.000000 = 3.000000
a[121] + b[121] == out[121] is 1.000000 + 2.000000 = 3.000000
a[122] + b[122] == out[122] is 1.000000 + 2.000000 = 3.000000
a[123] + b[123] == out[123] is 1.000000 + 2.000000 = 3.000000
a[124] + b[124] == out[124] is 1.000000 + 2.000000 = 3.000000
a[125] + b[125] == out[125] is 1.000000 + 2.000000 = 3.000000
a[126] + b[126] == out[126] is 1.000000 + 2.000000 = 3.000000
a[127] + b[127] == out[127] is 1.000000 + 2.000000 = 3.000000
a[128] + b[128] == out[128] is 1.000000 + 2.000000 = 3.000000
a[129] + b[129] == out[129] is 1.000000 + 2.000000 = 3.000000
a[130] + b[130] == out[130] is 1.000000 + 2.000000 = 3.000000
a[131] + b[131] == out[131] is 1.000000 + 2.000000 = 3.000000
a[132] + b[132] == out[132] is 1.000000 + 2.000000 = 3.000000
a[133] + b[133] == out[133] is 1.000000 + 2.000000 = 3.000000
a[134] + b[134] == out[134] is 1.000000 + 2.000000 = 3.000000
a[135] + b[135] == out[135] is 1.000000 + 2.000000 = 3.000000
a[136] + b[136] == out[136] is 1.000000 + 2.000000 = 3.000000
a[137] + b[137] == out[137] is 1.000000 + 2.000000 = 3.000000
a[138] + b[138] == out[138] is 1.000000 + 2.000000 = 3.000000
a[139] + b[139] == out[139] is 1.000000 + 2.000000 = 3.000000
a[140] + b[140] == out[140] is 1.000000 + 2.000000 = 3.000000
a[141] + b[141] == out[141] is 1.000000 + 2.000000 = 3.000000
a[142] + b[142] == out[142] is 1.000000 + 2.000000 = 3.000000
a[143] + b[143] == out[143] is 1.000000 + 2.000000 = 3.000000
a[144] + b[144] == out[144] is 1.000000 + 2.000000 = 3.000000
a[145] + b[145] == out[145] is 1.000000 + 2.000000 = 3.000000
a[146] + b[146] == out[146] is 1.000000 + 2.000000 = 3.000000
a[147] + b[147] == out[147] is 1.000000 + 2.000000 = 3.000000
a[148] + b[148] == out[148] is 1.000000 + 2.000000 = 3.000000
a[149] + b[149] == out[149] is 1.000000 + 2.000000 = 3.000000
a[150] + b[150] == out[150] is 1.000000 + 2.000000 = 3.000000
a[151] + b[151] == out[151] is 1.000000 + 2.000000 = 3.000000
a[152] + b[152] == out[152] is 1.000000 + 2.000000 = 3.000000
a[153] + b[153] == out[153] is 1.000000 + 2.000000 = 3.000000
a[154] + b[154] == out[154] is 1.000000 + 2.000000 = 3.000000
a[155] + b[155] == out[155] is 1.000000 + 2.000000 = 3.000000
a[156] + b[156] == out[156] is 1.000000 + 2.000000 = 3.000000
a[157] + b[157] == out[157] is 1.000000 + 2.000000 = 3.000000
a[158] + b[158] == out[158] is 1.000000 + 2.000000 = 3.000000
a[159] + b[159] == out[159] is 1.000000 + 2.000000 = 3.000000
a[160] + b[160] == out[160] is 1.000000 + 2.000000 = 3.000000
a[161] + b[161] == out[161] is 1.000000 + 2.000000 = 3.000000
a[162] + b[162] == out[162] is 1.000000 + 2.000000 = 3.000000
a[163] + b[163] == out[163] is 1.000000 + 2.000000 = 3.000000
a[164] + b[164] == out[164] is 1.000000 + 2.000000 = 3.000000
a[165] + b[165] == out[165] is 1.000000 + 2.000000 = 3.000000
a[166] + b[166] == out[166] is 1.000000 + 2.000000 = 3.000000
a[167] + b[167] == out[167] is 1.000000 + 2.000000 = 3.000000
a[168] + b[168] == out[168] is 1.000000 + 2.000000 = 3.000000
a[169] + b[169] == out[169] is 1.000000 + 2.000000 = 3.000000
a[170] + b[170] == out[170] is 1.000000 + 2.000000 = 3.000000
a[171] + b[171] == out[171] is 1.000000 + 2.000000 = 3.000000
a[172] + b[172] == out[172] is 1.000000 + 2.000000 = 3.000000
a[173] + b[173] == out[173] is 1.000000 + 2.000000 = 3.000000
a[174] + b[174] == out[174] is 1.000000 + 2.000000 = 3.000000
a[175] + b[175] == out[175] is 1.000000 + 2.000000 = 3.000000
a[176] + b[176] == out[176] is 1.000000 + 2.000000 = 3.000000
a[177] + b[177] == out[177] is 1.000000 + 2.000000 = 3.000000
a[178] + b[178] == out[178] is 1.000000 + 2.000000 = 3.000000
a[179] + b[179] == out[179] is 1.000000 + 2.000000 = 3.000000
a[180] + b[180] == out[180] is 1.000000 + 2.000000 = 3.000000
a[181] + b[181] == out[181] is 1.000000 + 2.000000 = 3.000000
a[182] + b[182] == out[182] is 1.000000 + 2.000000 = 3.000000
a[183] + b[183] == out[183] is 1.000000 + 2.000000 = 3.000000
a[184] + b[184] == out[184] is 1.000000 + 2.000000 = 3.000000
a[185] + b[185] == out[185] is 1.000000 + 2.000000 = 3.000000
a[186] + b[186] == out[186] is 1.000000 + 2.000000 = 3.000000
a[187] + b[187] == out[187] is 1.000000 + 2.000000 = 3.000000
a[188] + b[188] == out[188] is 1.000000 + 2.000000 = 3.000000
a[189] + b[189] == out[189] is 1.000000 + 2.000000 = 3.000000
a[190] + b[190] == out[190] is 1.000000 + 2.000000 = 3.000000
a[191] + b[191] == out[191] is 1.000000 + 2.000000 = 3.000000
a[192] + b[192] == out[192] is 1.000000 + 2.000000 = 3.000000
a[193] + b[193] == out[193] is 1.000000 + 2.000000 = 3.000000
a[194] + b[194] == out[194] is 1.000000 + 2.000000 = 3.000000
a[195] + b[195] == out[195] is 1.000000 + 2.000000 = 3.000000
a[196] + b[196] == out[196] is 1.000000 + 2.000000 = 3.000000
a[197] + b[197] == out[197] is 1.000000 + 2.000000 = 3.000000
a[198] + b[198] == out[198] is 1.000000 + 2.000000 = 3.000000
a[199] + b[199] == out[199] is 1.000000 + 2.000000 = 3.000000
a[200] + b[200] == out[200] is 1.000000 + 2.000000 = 3.000000
a[201] + b[201] == out[201] is 1.000000 + 2.000000 = 3.000000
a[202] + b[202] == out[202] is 1.000000 + 2.000000 = 3.000000
a[203] + b[203] == out[203] is 1.000000 + 2.000000 = 3.000000
a[204] + b[204] == out[204] is 1.000000 + 2.000000 = 3.000000
a[205] + b[205] == out[205] is 1.000000 + 2.000000 = 3.000000
a[206] + b[206] == out[206] is 1.000000 + 2.000000 = 3.000000
a[207] + b[207] == out[207] is 1.000000 + 2.000000 = 3.000000
a[208] + b[208] == out[208] is 1.000000 + 2.000000 = 3.000000
a[209] + b[209] == out[209] is 1.000000 + 2.000000 = 3.000000
a[210] + b[210] == out[210] is 1.000000 + 2.000000 = 3.000000
a[211] + b[211] == out[211] is 1.000000 + 2.000000 = 3.000000
a[212] + b[212] == out[212] is 1.000000 + 2.000000 = 3.000000
a[213] + b[213] == out[213] is 1.000000 + 2.000000 = 3.000000
a[214] + b[214] == out[214] is 1.000000 + 2.000000 = 3.000000
a[215] + b[215] == out[215] is 1.000000 + 2.000000 = 3.000000
a[216] + b[216] == out[216] is 1.000000 + 2.000000 = 3.000000
a[217] + b[217] == out[217] is 1.000000 + 2.000000 = 3.000000
a[218] + b[218] == out[218] is 1.000000 + 2.000000 = 3.000000
a[219] + b[219] == out[219] is 1.000000 + 2.000000 = 3.000000
a[220] + b[220] == out[220] is 1.000000 + 2.000000 = 3.000000
a[221] + b[221] == out[221] is 1.000000 + 2.000000 = 3.000000
a[222] + b[222] == out[222] is 1.000000 + 2.000000 = 3.000000
a[223] + b[223] == out[223] is 1.000000 + 2.000000 = 3.000000
a[224] + b[224] == out[224] is 1.000000 + 2.000000 = 3.000000
a[225] + b[225] == out[225] is 1.000000 + 2.000000 = 3.000000
a[226] + b[226] == out[226] is 1.000000 + 2.000000 = 3.000000
a[227] + b[227] == out[227] is 1.000000 + 2.000000 = 3.000000
a[228] + b[228] == out[228] is 1.000000 + 2.000000 = 3.000000
a[229] + b[229] == out[229] is 1.000000 + 2.000000 = 3.000000
a[230] + b[230] == out[230] is 1.000000 + 2.000000 = 3.000000
a[231] + b[231] == out[231] is 1.000000 + 2.000000 = 3.000000
a[232] + b[232] == out[232] is 1.000000 + 2.000000 = 3.000000
a[233] + b[233] == out[233] is 1.000000 + 2.000000 = 3.000000
a[234] + b[234] == out[234] is 1.000000 + 2.000000 = 3.000000
a[235] + b[235] == out[235] is 1.000000 + 2.000000 = 3.000000
a[236] + b[236] == out[236] is 1.000000 + 2.000000 = 3.000000
a[237] + b[237] == out[237] is 1.000000 + 2.000000 = 3.000000
a[238] + b[238] == out[238] is 1.000000 + 2.000000 = 3.000000
a[239] + b[239] == out[239] is 1.000000 + 2.000000 = 3.000000
a[240] + b[240] == out[240] is 1.000000 + 2.000000 = 3.000000
a[241] + b[241] == out[241] is 1.000000 + 2.000000 = 3.000000
a[242] + b[242] == out[242] is 1.000000 + 2.000000 = 3.000000
a[243] + b[243] == out[243] is 1.000000 + 2.000000 = 3.000000
a[244] + b[244] == out[244] is 1.000000 + 2.000000 = 3.000000
a[245] + b[245] == out[245] is 1.000000 + 2.000000 = 3.000000
a[246] + b[246] == out[246] is 1.000000 + 2.000000 = 3.000000
a[247] + b[247] == out[247] is 1.000000 + 2.000000 = 3.000000
a[248] + b[248] == out[248] is 1.000000 + 2.000000 = 3.000000
a[249] + b[249] == out[249] is 1.000000 + 2.000000 = 3.000000
a[250] + b[250] == out[250] is 1.000000 + 2.000000 = 3.000000
a[251] + b[251] == out[251] is 1.000000 + 2.000000 = 3.000000
a[252] + b[252] == out[252] is 1.000000 + 2.000000 = 3.000000
a[253] + b[253] == out[253] is 1.000000 + 2.000000 = 3.000000
a[254] + b[254] == out[254] is 1.000000 + 2.000000 = 3.000000
a[255] + b[255] == out[255] is 1.000000 + 2.000000 = 3.000000
a[256] + b[256] == out[256] is 1.000000 + 2.000000 = 3.000000
a[257] + b[257] == out[257] is 1.000000 + 2.000000 = 3.000000
a[258] + b[258] == out[258] is 1.000000 + 2.000000 = 3.000000
a[259] + b[259] == out[259] is 1.000000 + 2.000000 = 3.000000
a[260] + b[260] == out[260] is 1.000000 + 2.000000 = 3.000000
a[261] + b[261] == out[261] is 1.000000 + 2.000000 = 3.000000
a[262] + b[262] == out[262] is 1.000000 + 2.000000 = 3.000000
a[263] + b[263] == out[263] is 1.000000 + 2.000000 = 3.000000
a[264] + b[264] == out[264] is 1.000000 + 2.000000 = 3.000000
a[265] + b[265] == out[265] is 1.000000 + 2.000000 = 3.000000
a[266] + b[266] == out[266] is 1.000000 + 2.000000 = 3.000000
a[267] + b[267] == out[267] is 1.000000 + 2.000000 = 3.000000
a[268] + b[268] == out[268] is 1.000000 + 2.000000 = 3.000000
a[269] + b[269] == out[269] is 1.000000 + 2.000000 = 3.000000
a[270] + b[270] == out[270] is 1.000000 + 2.000000 = 3.000000
a[271] + b[271] == out[271] is 1.000000 + 2.000000 = 3.000000
a[272] + b[272] == out[272] is 1.000000 + 2.000000 = 3.000000
a[273] + b[273] == out[273] is 1.000000 + 2.000000 = 3.000000
a[274] + b[274] == out[274] is 1.000000 + 2.000000 = 3.000000
a[275] + b[275] == out[275] is 1.000000 + 2.000000 = 3.000000
a[276] + b[276] == out[276] is 1.000000 + 2.000000 = 3.000000
a[277] + b[277] == out[277] is 1.000000 + 2.000000 = 3.000000
a[278] + b[278] == out[278] is 1.000000 + 2.000000 = 3.000000
a[279] + b[279] == out[279] is 1.000000 + 2.000000 = 3.000000
a[280] + b[280] == out[280] is 1.000000 + 2.000000 = 3.000000
a[281] + b[281] == out[281] is 1.000000 + 2.000000 = 3.000000
a[282] + b[282] == out[282] is 1.000000 + 2.000000 = 3.000000
a[283] + b[283] == out[283] is 1.000000 + 2.000000 = 3.000000
a[284] + b[284] == out[284] is 1.000000 + 2.000000 = 3.000000
a[285] + b[285] == out[285] is 1.000000 + 2.000000 = 3.000000
a[286] + b[286] == out[286] is 1.000000 + 2.000000 = 3.000000
a[287] + b[287] == out[287] is 1.000000 + 2.000000 = 3.000000
a[288] + b[288] == out[288] is 1.000000 + 2.000000 = 3.000000
a[289] + b[289] == out[289] is 1.000000 + 2.000000 = 3.000000
a[290] + b[290] == out[290] is 1.000000 + 2.000000 = 3.000000
a[291] + b[291] == out[291] is 1.000000 + 2.000000 = 3.000000
a[292] + b[292] == out[292] is 1.000000 + 2.000000 = 3.000000
a[293] + b[293] == out[293] is 1.000000 + 2.000000 = 3.000000
a[294] + b[294] == out[294] is 1.000000 + 2.000000 = 3.000000
a[295] + b[295] == out[295] is 1.000000 + 2.000000 = 3.000000
a[296] + b[296] == out[296] is 1.000000 + 2.000000 = 3.000000
a[297] + b[297] == out[297] is 1.000000 + 2.000000 = 3.000000
a[298] + b[298] == out[298] is 1.000000 + 2.000000 = 3.000000
a[299] + b[299] == out[299] is 1.000000 + 2.000000 = 3.000000
a[300] + b[300] == out[300] is 1.000000 + 2.000000 = 3.000000
a[301] + b[301] == out[301] is 1.000000 + 2.000000 = 3.000000
a[302] + b[302] == out[302] is 1.000000 + 2.000000 = 3.000000
a[303] + b[303] == out[303] is 1.000000 + 2.000000 = 3.000000
a[304] + b[304] == out[304] is 1.000000 + 2.000000 = 3.000000
a[305] + b[305] == out[305] is 1.000000 + 2.000000 = 3.000000
a[306] + b[306] == out[306] is 1.000000 + 2.000000 = 3.000000
a[307] + b[307] == out[307] is 1.000000 + 2.000000 = 3.000000
a[308] + b[308] == out[308] is 1.000000 + 2.000000 = 3.000000
a[309] + b[309] == out[309] is 1.000000 + 2.000000 = 3.000000
a[310] + b[310] == out[310] is 1.000000 + 2.000000 = 3.000000
a[311] + b[311] == out[311] is 1.000000 + 2.000000 = 3.000000
a[312] + b[312] == out[312] is 1.000000 + 2.000000 = 3.000000
a[313] + b[313] == out[313] is 1.000000 + 2.000000 = 3.000000
a[314] + b[314] == out[314] is 1.000000 + 2.000000 = 3.000000
a[315] + b[315] == out[315] is 1.000000 + 2.000000 = 3.000000
a[316] + b[316] == out[316] is 1.000000 + 2.000000 = 3.000000
a[317] + b[317] == out[317] is 1.000000 + 2.000000 = 3.000000
a[318] + b[318] == out[318] is 1.000000 + 2.000000 = 3.000000
a[319] + b[319] == out[319] is 1.000000 + 2.000000 = 3.000000
a[320] + b[320] == out[320] is 1.000000 + 2.000000 = 3.000000
a[321] + b[321] == out[321] is 1.000000 + 2.000000 = 3.000000
a[322] + b[322] == out[322] is 1.000000 + 2.000000 = 3.000000
a[323] + b[323] == out[323] is 1.000000 + 2.000000 = 3.000000
a[324] + b[324] == out[324] is 1.000000 + 2.000000 = 3.000000
a[325] + b[325] == out[325] is 1.000000 + 2.000000 = 3.000000
a[326] + b[326] == out[326] is 1.000000 + 2.000000 = 3.000000
a[327] + b[327] == out[327] is 1.000000 + 2.000000 = 3.000000
a[328] + b[328] == out[328] is 1.000000 + 2.000000 = 3.000000
a[329] + b[329] == out[329] is 1.000000 + 2.000000 = 3.000000
a[330] + b[330] == out[330] is 1.000000 + 2.000000 = 3.000000
a[331] + b[331] == out[331] is 1.000000 + 2.000000 = 3.000000
a[332] + b[332] == out[332] is 1.000000 + 2.000000 = 3.000000
a[333] + b[333] == out[333] is 1.000000 + 2.000000 = 3.000000
a[334] + b[334] == out[334] is 1.000000 + 2.000000 = 3.000000
a[335] + b[335] == out[335] is 1.000000 + 2.000000 = 3.000000
a[336] + b[336] == out[336] is 1.000000 + 2.000000 = 3.000000
a[337] + b[337] == out[337] is 1.000000 + 2.000000 = 3.000000
a[338] + b[338] == out[338] is 1.000000 + 2.000000 = 3.000000
a[339] + b[339] == out[339] is 1.000000 + 2.000000 = 3.000000
a[340] + b[340] == out[340] is 1.000000 + 2.000000 = 3.000000
a[341] + b[341] == out[341] is 1.000000 + 2.000000 = 3.000000
a[342] + b[342] == out[342] is 1.000000 + 2.000000 = 3.000000
a[343] + b[343] == out[343] is 1.000000 + 2.000000 = 3.000000
a[344] + b[344] == out[344] is 1.000000 + 2.000000 = 3.000000
a[345] + b[345] == out[345] is 1.000000 + 2.000000 = 3.000000
a[346] + b[346] == out[346] is 1.000000 + 2.000000 = 3.000000
a[347] + b[347] == out[347] is 1.000000 + 2.000000 = 3.000000
a[348] + b[348] == out[348] is 1.000000 + 2.000000 = 3.000000
a[349] + b[349] == out[349] is 1.000000 + 2.000000 = 3.000000
a[350] + b[350] == out[350] is 1.000000 + 2.000000 = 3.000000
a[351] + b[351] == out[351] is 1.000000 + 2.000000 = 3.000000
a[352] + b[352] == out[352] is 1.000000 + 2.000000 = 3.000000
a[353] + b[353] == out[353] is 1.000000 + 2.000000 = 3.000000
a[354] + b[354] == out[354] is 1.000000 + 2.000000 = 3.000000
a[355] + b[355] == out[355] is 1.000000 + 2.000000 = 3.000000
a[356] + b[356] == out[356] is 1.000000 + 2.000000 = 3.000000
a[357] + b[357] == out[357] is 1.000000 + 2.000000 = 3.000000
a[358] + b[358] == out[358] is 1.000000 + 2.000000 = 3.000000
a[359] + b[359] == out[359] is 1.000000 + 2.000000 = 3.000000
a[360] + b[360] == out[360] is 1.000000 + 2.000000 = 3.000000
a[361] + b[361] == out[361] is 1.000000 + 2.000000 = 3.000000
a[362] + b[362] == out[362] is 1.000000 + 2.000000 = 3.000000
a[363] + b[363] == out[363] is 1.000000 + 2.000000 = 3.000000
a[364] + b[364] == out[364] is 1.000000 + 2.000000 = 3.000000
a[365] + b[365] == out[365] is 1.000000 + 2.000000 = 3.000000
a[366] + b[366] == out[366] is 1.000000 + 2.000000 = 3.000000
a[367] + b[367] == out[367] is 1.000000 + 2.000000 = 3.000000
a[368] + b[368] == out[368] is 1.000000 + 2.000000 = 3.000000
a[369] + b[369] == out[369] is 1.000000 + 2.000000 = 3.000000
a[370] + b[370] == out[370] is 1.000000 + 2.000000 = 3.000000
a[371] + b[371] == out[371] is 1.000000 + 2.000000 = 3.000000
a[372] + b[372] == out[372] is 1.000000 + 2.000000 = 3.000000
a[373] + b[373] == out[373] is 1.000000 + 2.000000 = 3.000000
a[374] + b[374] == out[374] is 1.000000 + 2.000000 = 3.000000
a[375] + b[375] == out[375] is 1.000000 + 2.000000 = 3.000000
a[376] + b[376] == out[376] is 1.000000 + 2.000000 = 3.000000
a[377] + b[377] == out[377] is 1.000000 + 2.000000 = 3.000000
a[378] + b[378] == out[378] is 1.000000 + 2.000000 = 3.000000
a[379] + b[379] == out[379] is 1.000000 + 2.000000 = 3.000000
a[380] + b[380] == out[380] is 1.000000 + 2.000000 = 3.000000
a[381] + b[381] == out[381] is 1.000000 + 2.000000 = 3.000000
a[382] + b[382] == out[382] is 1.000000 + 2.000000 = 3.000000
a[383] + b[383] == out[383] is 1.000000 + 2.000000 = 3.000000
a[384] + b[384] == out[384] is 1.000000 + 2.000000 = 3.000000
a[385] + b[385] == out[385] is 1.000000 + 2.000000 = 3.000000
a[386] + b[386] == out[386] is 1.000000 + 2.000000 = 3.000000
a[387] + b[387] == out[387] is 1.000000 + 2.000000 = 3.000000
a[388] + b[388] == out[388] is 1.000000 + 2.000000 = 3.000000
a[389] + b[389] == out[389] is 1.000000 + 2.000000 = 3.000000
a[390] + b[390] == out[390] is 1.000000 + 2.000000 = 3.000000
a[391] + b[391] == out[391] is 1.000000 + 2.000000 = 3.000000
a[392] + b[392] == out[392] is 1.000000 + 2.000000 = 3.000000
a[393] + b[393] == out[393] is 1.000000 + 2.000000 = 3.000000
a[394] + b[394] == out[394] is 1.000000 + 2.000000 = 3.000000
a[395] + b[395] == out[395] is 1.000000 + 2.000000 = 3.000000
a[396] + b[396] == out[396] is 1.000000 + 2.000000 = 3.000000
a[397] + b[397] == out[397] is 1.000000 + 2.000000 = 3.000000
a[398] + b[398] == out[398] is 1.000000 + 2.000000 = 3.000000
a[399] + b[399] == out[399] is 1.000000 + 2.000000 = 3.000000
a[400] + b[400] == out[400] is 1.000000 + 2.000000 = 3.000000
a[401] + b[401] == out[401] is 1.000000 + 2.000000 = 3.000000
a[402] + b[402] == out[402] is 1.000000 + 2.000000 = 3.000000
a[403] + b[403] == out[403] is 1.000000 + 2.000000 = 3.000000
a[404] + b[404] == out[404] is 1.000000 + 2.000000 = 3.000000
a[405] + b[405] == out[405] is 1.000000 + 2.000000 = 3.000000
a[406] + b[406] == out[406] is 1.000000 + 2.000000 = 3.000000
a[407] + b[407] == out[407] is 1.000000 + 2.000000 = 3.000000
a[408] + b[408] == out[408] is 1.000000 + 2.000000 = 3.000000
a[409] + b[409] == out[409] is 1.000000 + 2.000000 = 3.000000
a[410] + b[410] == out[410] is 1.000000 + 2.000000 = 3.000000
a[411] + b[411] == out[411] is 1.000000 + 2.000000 = 3.000000
a[412] + b[412] == out[412] is 1.000000 + 2.000000 = 3.000000
a[413] + b[413] == out[413] is 1.000000 + 2.000000 = 3.000000
a[414] + b[414] == out[414] is 1.000000 + 2.000000 = 3.000000
a[415] + b[415] == out[415] is 1.000000 + 2.000000 = 3.000000
a[416] + b[416] == out[416] is 1.000000 + 2.000000 = 3.000000
a[417] + b[417] == out[417] is 1.000000 + 2.000000 = 3.000000
a[418] + b[418] == out[418] is 1.000000 + 2.000000 = 3.000000
a[419] + b[419] == out[419] is 1.000000 + 2.000000 = 3.000000
a[420] + b[420] == out[420] is 1.000000 + 2.000000 = 3.000000
a[421] + b[421] == out[421] is 1.000000 + 2.000000 = 3.000000
a[422] + b[422] == out[422] is 1.000000 + 2.000000 = 3.000000
a[423] + b[423] == out[423] is 1.000000 + 2.000000 = 3.000000
a[424] + b[424] == out[424] is 1.000000 + 2.000000 = 3.000000
a[425] + b[425] == out[425] is 1.000000 + 2.000000 = 3.000000
a[426] + b[426] == out[426] is 1.000000 + 2.000000 = 3.000000
a[427] + b[427] == out[427] is 1.000000 + 2.000000 = 3.000000
a[428] + b[428] == out[428] is 1.000000 + 2.000000 = 3.000000
a[429] + b[429] == out[429] is 1.000000 + 2.000000 = 3.000000
a[430] + b[430] == out[430] is 1.000000 + 2.000000 = 3.000000
a[431] + b[431] == out[431] is 1.000000 + 2.000000 = 3.000000
a[432] + b[432] == out[432] is 1.000000 + 2.000000 = 3.000000
a[433] + b[433] == out[433] is 1.000000 + 2.000000 = 3.000000
a[434] + b[434] == out[434] is 1.000000 + 2.000000 = 3.000000
a[435] + b[435] == out[435] is 1.000000 + 2.000000 = 3.000000
a[436] + b[436] == out[436] is 1.000000 + 2.000000 = 3.000000
a[437] + b[437] == out[437] is 1.000000 + 2.000000 = 3.000000
a[438] + b[438] == out[438] is 1.000000 + 2.000000 = 3.000000
a[439] + b[439] == out[439] is 1.000000 + 2.000000 = 3.000000
a[440] + b[440] == out[440] is 1.000000 + 2.000000 = 3.000000
a[441] + b[441] == out[441] is 1.000000 + 2.000000 = 3.000000
a[442] + b[442] == out[442] is 1.000000 + 2.000000 = 3.000000
a[443] + b[443] == out[443] is 1.000000 + 2.000000 = 3.000000
a[444] + b[444] == out[444] is 1.000000 + 2.000000 = 3.000000
a[445] + b[445] == out[445] is 1.000000 + 2.000000 = 3.000000
a[446] + b[446] == out[446] is 1.000000 + 2.000000 = 3.000000
a[447] + b[447] == out[447] is 1.000000 + 2.000000 = 3.000000
a[448] + b[448] == out[448] is 1.000000 + 2.000000 = 3.000000
a[449] + b[449] == out[449] is 1.000000 + 2.000000 = 3.000000
a[450] + b[450] == out[450] is 1.000000 + 2.000000 = 3.000000
a[451] + b[451] == out[451] is 1.000000 + 2.000000 = 3.000000
a[452] + b[452] == out[452] is 1.000000 + 2.000000 = 3.000000
a[453] + b[453] == out[453] is 1.000000 + 2.000000 = 3.000000
a[454] + b[454] == out[454] is 1.000000 + 2.000000 = 3.000000
a[455] + b[455] == out[455] is 1.000000 + 2.000000 = 3.000000
a[456] + b[456] == out[456] is 1.000000 + 2.000000 = 3.000000
a[457] + b[457] == out[457] is 1.000000 + 2.000000 = 3.000000
a[458] + b[458] == out[458] is 1.000000 + 2.000000 = 3.000000
a[459] + b[459] == out[459] is 1.000000 + 2.000000 = 3.000000
a[460] + b[460] == out[460] is 1.000000 + 2.000000 = 3.000000
a[461] + b[461] == out[461] is 1.000000 + 2.000000 = 3.000000
a[462] + b[462] == out[462] is 1.000000 + 2.000000 = 3.000000
a[463] + b[463] == out[463] is 1.000000 + 2.000000 = 3.000000
a[464] + b[464] == out[464] is 1.000000 + 2.000000 = 3.000000
a[465] + b[465] == out[465] is 1.000000 + 2.000000 = 3.000000
a[466] + b[466] == out[466] is 1.000000 + 2.000000 = 3.000000
a[467] + b[467] == out[467] is 1.000000 + 2.000000 = 3.000000
a[468] + b[468] == out[468] is 1.000000 + 2.000000 = 3.000000
a[469] + b[469] == out[469] is 1.000000 + 2.000000 = 3.000000
a[470] + b[470] == out[470] is 1.000000 + 2.000000 = 3.000000
a[471] + b[471] == out[471] is 1.000000 + 2.000000 = 3.000000
a[472] + b[472] == out[472] is 1.000000 + 2.000000 = 3.000000
a[473] + b[473] == out[473] is 1.000000 + 2.000000 = 3.000000
a[474] + b[474] == out[474] is 1.000000 + 2.000000 = 3.000000
a[475] + b[475] == out[475] is 1.000000 + 2.000000 = 3.000000
a[476] + b[476] == out[476] is 1.000000 + 2.000000 = 3.000000
a[477] + b[477] == out[477] is 1.000000 + 2.000000 = 3.000000
a[478] + b[478] == out[478] is 1.000000 + 2.000000 = 3.000000
a[479] + b[479] == out[479] is 1.000000 + 2.000000 = 3.000000
a[480] + b[480] == out[480] is 1.000000 + 2.000000 = 3.000000
a[481] + b[481] == out[481] is 1.000000 + 2.000000 = 3.000000
a[482] + b[482] == out[482] is 1.000000 + 2.000000 = 3.000000
a[483] + b[483] == out[483] is 1.000000 + 2.000000 = 3.000000
a[484] + b[484] == out[484] is 1.000000 + 2.000000 = 3.000000
a[485] + b[485] == out[485] is 1.000000 + 2.000000 = 3.000000
a[486] + b[486] == out[486] is 1.000000 + 2.000000 = 3.000000
a[487] + b[487] == out[487] is 1.000000 + 2.000000 = 3.000000
a[488] + b[488] == out[488] is 1.000000 + 2.000000 = 3.000000
a[489] + b[489] == out[489] is 1.000000 + 2.000000 = 3.000000
a[490] + b[490] == out[490] is 1.000000 + 2.000000 = 3.000000
a[491] + b[491] == out[491] is 1.000000 + 2.000000 = 3.000000
a[492] + b[492] == out[492] is 1.000000 + 2.000000 = 3.000000
a[493] + b[493] == out[493] is 1.000000 + 2.000000 = 3.000000
a[494] + b[494] == out[494] is 1.000000 + 2.000000 = 3.000000
a[495] + b[495] == out[495] is 1.000000 + 2.000000 = 3.000000
a[496] + b[496] == out[496] is 1.000000 + 2.000000 = 3.000000
a[497] + b[497] == out[497] is 1.000000 + 2.000000 = 3.000000
a[498] + b[498] == out[498] is 1.000000 + 2.000000 = 3.000000
a[499] + b[499] == out[499] is 1.000000 + 2.000000 = 3.000000
a[500] + b[500] == out[500] is 1.000000 + 2.000000 = 3.000000
a[501] + b[501] == out[501] is 1.000000 + 2.000000 = 3.000000
a[502] + b[502] == out[502] is 1.000000 + 2.000000 = 3.000000
a[503] + b[503] == out[503] is 1.000000 + 2.000000 = 3.000000
a[504] + b[504] == out[504] is 1.000000 + 2.000000 = 3.000000
a[505] + b[505] == out[505] is 1.000000 + 2.000000 = 3.000000
a[506] + b[506] == out[506] is 1.000000 + 2.000000 = 3.000000
a[507] + b[507] == out[507] is 1.000000 + 2.000000 = 3.000000
a[508] + b[508] == out[508] is 1.000000 + 2.000000 = 3.000000
a[509] + b[509] == out[509] is 1.000000 + 2.000000 = 3.000000
a[510] + b[510] == out[510] is 1.000000 + 2.000000 = 3.000000
a[511] + b[511] == out[511] is 1.000000 + 2.000000 = 3.000000
a[512] + b[512] == out[512] is 1.000000 + 2.000000 = 3.000000
a[513] + b[513] == out[513] is 1.000000 + 2.000000 = 3.000000
a[514] + b[514] == out[514] is 1.000000 + 2.000000 = 3.000000
a[515] + b[515] == out[515] is 1.000000 + 2.000000 = 3.000000
a[516] + b[516] == out[516] is 1.000000 + 2.000000 = 3.000000
a[517] + b[517] == out[517] is 1.000000 + 2.000000 = 3.000000
a[518] + b[518] == out[518] is 1.000000 + 2.000000 = 3.000000
a[519] + b[519] == out[519] is 1.000000 + 2.000000 = 3.000000
a[520] + b[520] == out[520] is 1.000000 + 2.000000 = 3.000000
a[521] + b[521] == out[521] is 1.000000 + 2.000000 = 3.000000
a[522] + b[522] == out[522] is 1.000000 + 2.000000 = 3.000000
a[523] + b[523] == out[523] is 1.000000 + 2.000000 = 3.000000
a[524] + b[524] == out[524] is 1.000000 + 2.000000 = 3.000000
a[525] + b[525] == out[525] is 1.000000 + 2.000000 = 3.000000
a[526] + b[526] == out[526] is 1.000000 + 2.000000 = 3.000000
a[527] + b[527] == out[527] is 1.000000 + 2.000000 = 3.000000
a[528] + b[528] == out[528] is 1.000000 + 2.000000 = 3.000000
a[529] + b[529] == out[529] is 1.000000 + 2.000000 = 3.000000
a[530] + b[530] == out[530] is 1.000000 + 2.000000 = 3.000000
a[531] + b[531] == out[531] is 1.000000 + 2.000000 = 3.000000
a[532] + b[532] == out[532] is 1.000000 + 2.000000 = 3.000000
a[533] + b[533] == out[533] is 1.000000 + 2.000000 = 3.000000
a[534] + b[534] == out[534] is 1.000000 + 2.000000 = 3.000000
a[535] + b[535] == out[535] is 1.000000 + 2.000000 = 3.000000
a[536] + b[536] == out[536] is 1.000000 + 2.000000 = 3.000000
a[537] + b[537] == out[537] is 1.000000 + 2.000000 = 3.000000
a[538] + b[538] == out[538] is 1.000000 + 2.000000 = 3.000000
a[539] + b[539] == out[539] is 1.000000 + 2.000000 = 3.000000
a[540] + b[540] == out[540] is 1.000000 + 2.000000 = 3.000000
a[541] + b[541] == out[541] is 1.000000 + 2.000000 = 3.000000
a[542] + b[542] == out[542] is 1.000000 + 2.000000 = 3.000000
a[543] + b[543] == out[543] is 1.000000 + 2.000000 = 3.000000
a[544] + b[544] == out[544] is 1.000000 + 2.000000 = 3.000000
a[545] + b[545] == out[545] is 1.000000 + 2.000000 = 3.000000
a[546] + b[546] == out[546] is 1.000000 + 2.000000 = 3.000000
a[547] + b[547] == out[547] is 1.000000 + 2.000000 = 3.000000
a[548] + b[548] == out[548] is 1.000000 + 2.000000 = 3.000000
a[549] + b[549] == out[549] is 1.000000 + 2.000000 = 3.000000
a[550] + b[550] == out[550] is 1.000000 + 2.000000 = 3.000000
a[551] + b[551] == out[551] is 1.000000 + 2.000000 = 3.000000
a[552] + b[552] == out[552] is 1.000000 + 2.000000 = 3.000000
a[553] + b[553] == out[553] is 1.000000 + 2.000000 = 3.000000
a[554] + b[554] == out[554] is 1.000000 + 2.000000 = 3.000000
a[555] + b[555] == out[555] is 1.000000 + 2.000000 = 3.000000
a[556] + b[556] == out[556] is 1.000000 + 2.000000 = 3.000000
a[557] + b[557] == out[557] is 1.000000 + 2.000000 = 3.000000
a[558] + b[558] == out[558] is 1.000000 + 2.000000 = 3.000000
a[559] + b[559] == out[559] is 1.000000 + 2.000000 = 3.000000
a[560] + b[560] == out[560] is 1.000000 + 2.000000 = 3.000000
a[561] + b[561] == out[561] is 1.000000 + 2.000000 = 3.000000
a[562] + b[562] == out[562] is 1.000000 + 2.000000 = 3.000000
a[563] + b[563] == out[563] is 1.000000 + 2.000000 = 3.000000
a[564] + b[564] == out[564] is 1.000000 + 2.000000 = 3.000000
a[565] + b[565] == out[565] is 1.000000 + 2.000000 = 3.000000
a[566] + b[566] == out[566] is 1.000000 + 2.000000 = 3.000000
a[567] + b[567] == out[567] is 1.000000 + 2.000000 = 3.000000
a[568] + b[568] == out[568] is 1.000000 + 2.000000 = 3.000000
a[569] + b[569] == out[569] is 1.000000 + 2.000000 = 3.000000
a[570] + b[570] == out[570] is 1.000000 + 2.000000 = 3.000000
a[571] + b[571] == out[571] is 1.000000 + 2.000000 = 3.000000
a[572] + b[572] == out[572] is 1.000000 + 2.000000 = 3.000000
a[573] + b[573] == out[573] is 1.000000 + 2.000000 = 3.000000
a[574] + b[574] == out[574] is 1.000000 + 2.000000 = 3.000000
a[575] + b[575] == out[575] is 1.000000 + 2.000000 = 3.000000
a[576] + b[576] == out[576] is 1.000000 + 2.000000 = 3.000000
a[577] + b[577] == out[577] is 1.000000 + 2.000000 = 3.000000
a[578] + b[578] == out[578] is 1.000000 + 2.000000 = 3.000000
a[579] + b[579] == out[579] is 1.000000 + 2.000000 = 3.000000
a[580] + b[580] == out[580] is 1.000000 + 2.000000 = 3.000000
a[581] + b[581] == out[581] is 1.000000 + 2.000000 = 3.000000
a[582] + b[582] == out[582] is 1.000000 + 2.000000 = 3.000000
a[583] + b[583] == out[583] is 1.000000 + 2.000000 = 3.000000
a[584] + b[584] == out[584] is 1.000000 + 2.000000 = 3.000000
a[585] + b[585] == out[585] is 1.000000 + 2.000000 = 3.000000
a[586] + b[586] == out[586] is 1.000000 + 2.000000 = 3.000000
a[587] + b[587] == out[587] is 1.000000 + 2.000000 = 3.000000
a[588] + b[588] == out[588] is 1.000000 + 2.000000 = 3.000000
a[589] + b[589] == out[589] is 1.000000 + 2.000000 = 3.000000
a[590] + b[590] == out[590] is 1.000000 + 2.000000 = 3.000000
a[591] + b[591] == out[591] is 1.000000 + 2.000000 = 3.000000
a[592] + b[592] == out[592] is 1.000000 + 2.000000 = 3.000000
a[593] + b[593] == out[593] is 1.000000 + 2.000000 = 3.000000
a[594] + b[594] == out[594] is 1.000000 + 2.000000 = 3.000000
a[595] + b[595] == out[595] is 1.000000 + 2.000000 = 3.000000
a[596] + b[596] == out[596] is 1.000000 + 2.000000 = 3.000000
a[597] + b[597] == out[597] is 1.000000 + 2.000000 = 3.000000
a[598] + b[598] == out[598] is 1.000000 + 2.000000 = 3.000000
a[599] + b[599] == out[599] is 1.000000 + 2.000000 = 3.000000
a[600] + b[600] == out[600] is 1.000000 + 2.000000 = 3.000000
a[601] + b[601] == out[601] is 1.000000 + 2.000000 = 3.000000
a[602] + b[602] == out[602] is 1.000000 + 2.000000 = 3.000000
a[603] + b[603] == out[603] is 1.000000 + 2.000000 = 3.000000
a[604] + b[604] == out[604] is 1.000000 + 2.000000 = 3.000000
a[605] + b[605] == out[605] is 1.000000 + 2.000000 = 3.000000
a[606] + b[606] == out[606] is 1.000000 + 2.000000 = 3.000000
a[607] + b[607] == out[607] is 1.000000 + 2.000000 = 3.000000
a[608] + b[608] == out[608] is 1.000000 + 2.000000 = 3.000000
a[609] + b[609] == out[609] is 1.000000 + 2.000000 = 3.000000
a[610] + b[610] == out[610] is 1.000000 + 2.000000 = 3.000000
a[611] + b[611] == out[611] is 1.000000 + 2.000000 = 3.000000
a[612] + b[612] == out[612] is 1.000000 + 2.000000 = 3.000000
a[613] + b[613] == out[613] is 1.000000 + 2.000000 = 3.000000
a[614] + b[614] == out[614] is 1.000000 + 2.000000 = 3.000000
a[615] + b[615] == out[615] is 1.000000 + 2.000000 = 3.000000
a[616] + b[616] == out[616] is 1.000000 + 2.000000 = 3.000000
a[617] + b[617] == out[617] is 1.000000 + 2.000000 = 3.000000
a[618] + b[618] == out[618] is 1.000000 + 2.000000 = 3.000000
a[619] + b[619] == out[619] is 1.000000 + 2.000000 = 3.000000
a[620] + b[620] == out[620] is 1.000000 + 2.000000 = 3.000000
a[621] + b[621] == out[621] is 1.000000 + 2.000000 = 3.000000
a[622] + b[622] == out[622] is 1.000000 + 2.000000 = 3.000000
a[623] + b[623] == out[623] is 1.000000 + 2.000000 = 3.000000
a[624] + b[624] == out[624] is 1.000000 + 2.000000 = 3.000000
a[625] + b[625] == out[625] is 1.000000 + 2.000000 = 3.000000
a[626] + b[626] == out[626] is 1.000000 + 2.000000 = 3.000000
a[627] + b[627] == out[627] is 1.000000 + 2.000000 = 3.000000
a[628] + b[628] == out[628] is 1.000000 + 2.000000 = 3.000000
a[629] + b[629] == out[629] is 1.000000 + 2.000000 = 3.000000
a[630] + b[630] == out[630] is 1.000000 + 2.000000 = 3.000000
a[631] + b[631] == out[631] is 1.000000 + 2.000000 = 3.000000
a[632] + b[632] == out[632] is 1.000000 + 2.000000 = 3.000000
a[633] + b[633] == out[633] is 1.000000 + 2.000000 = 3.000000
a[634] + b[634] == out[634] is 1.000000 + 2.000000 = 3.000000
a[635] + b[635] == out[635] is 1.000000 + 2.000000 = 3.000000
a[636] + b[636] == out[636] is 1.000000 + 2.000000 = 3.000000
a[637] + b[637] == out[637] is 1.000000 + 2.000000 = 3.000000
a[638] + b[638] == out[638] is 1.000000 + 2.000000 = 3.000000
a[639] + b[639] == out[639] is 1.000000 + 2.000000 = 3.000000
a[640] + b[640] == out[640] is 1.000000 + 2.000000 = 3.000000
a[641] + b[641] == out[641] is 1.000000 + 2.000000 = 3.000000
a[642] + b[642] == out[642] is 1.000000 + 2.000000 = 3.000000
a[643] + b[643] == out[643] is 1.000000 + 2.000000 = 3.000000
a[644] + b[644] == out[644] is 1.000000 + 2.000000 = 3.000000
a[645] + b[645] == out[645] is 1.000000 + 2.000000 = 3.000000
a[646] + b[646] == out[646] is 1.000000 + 2.000000 = 3.000000
a[647] + b[647] == out[647] is 1.000000 + 2.000000 = 3.000000
a[648] + b[648] == out[648] is 1.000000 + 2.000000 = 3.000000
a[649] + b[649] == out[649] is 1.000000 + 2.000000 = 3.000000
a[650] + b[650] == out[650] is 1.000000 + 2.000000 = 3.000000
a[651] + b[651] == out[651] is 1.000000 + 2.000000 = 3.000000
a[652] + b[652] == out[652] is 1.000000 + 2.000000 = 3.000000
a[653] + b[653] == out[653] is 1.000000 + 2.000000 = 3.000000
a[654] + b[654] == out[654] is 1.000000 + 2.000000 = 3.000000
a[655] + b[655] == out[655] is 1.000000 + 2.000000 = 3.000000
a[656] + b[656] == out[656] is 1.000000 + 2.000000 = 3.000000
a[657] + b[657] == out[657] is 1.000000 + 2.000000 = 3.000000
a[658] + b[658] == out[658] is 1.000000 + 2.000000 = 3.000000
a[659] + b[659] == out[659] is 1.000000 + 2.000000 = 3.000000
a[660] + b[660] == out[660] is 1.000000 + 2.000000 = 3.000000
a[661] + b[661] == out[661] is 1.000000 + 2.000000 = 3.000000
a[662] + b[662] == out[662] is 1.000000 + 2.000000 = 3.000000
a[663] + b[663] == out[663] is 1.000000 + 2.000000 = 3.000000
a[664] + b[664] == out[664] is 1.000000 + 2.000000 = 3.000000
a[665] + b[665] == out[665] is 1.000000 + 2.000000 = 3.000000
a[666] + b[666] == out[666] is 1.000000 + 2.000000 = 3.000000
a[667] + b[667] == out[667] is 1.000000 + 2.000000 = 3.000000
a[668] + b[668] == out[668] is 1.000000 + 2.000000 = 3.000000
a[669] + b[669] == out[669] is 1.000000 + 2.000000 = 3.000000
a[670] + b[670] == out[670] is 1.000000 + 2.000000 = 3.000000
a[671] + b[671] == out[671] is 1.000000 + 2.000000 = 3.000000
a[672] + b[672] == out[672] is 1.000000 + 2.000000 = 3.000000
a[673] + b[673] == out[673] is 1.000000 + 2.000000 = 3.000000
a[674] + b[674] == out[674] is 1.000000 + 2.000000 = 3.000000
a[675] + b[675] == out[675] is 1.000000 + 2.000000 = 3.000000
a[676] + b[676] == out[676] is 1.000000 + 2.000000 = 3.000000
a[677] + b[677] == out[677] is 1.000000 + 2.000000 = 3.000000
a[678] + b[678] == out[678] is 1.000000 + 2.000000 = 3.000000
a[679] + b[679] == out[679] is 1.000000 + 2.000000 = 3.000000
a[680] + b[680] == out[680] is 1.000000 + 2.000000 = 3.000000
a[681] + b[681] == out[681] is 1.000000 + 2.000000 = 3.000000
a[682] + b[682] == out[682] is 1.000000 + 2.000000 = 3.000000
a[683] + b[683] == out[683] is 1.000000 + 2.000000 = 3.000000
a[684] + b[684] == out[684] is 1.000000 + 2.000000 = 3.000000
a[685] + b[685] == out[685] is 1.000000 + 2.000000 = 3.000000
a[686] + b[686] == out[686] is 1.000000 + 2.000000 = 3.000000
a[687] + b[687] == out[687] is 1.000000 + 2.000000 = 3.000000
a[688] + b[688] == out[688] is 1.000000 + 2.000000 = 3.000000
a[689] + b[689] == out[689] is 1.000000 + 2.000000 = 3.000000
a[690] + b[690] == out[690] is 1.000000 + 2.000000 = 3.000000
a[691] + b[691] == out[691] is 1.000000 + 2.000000 = 3.000000
a[692] + b[692] == out[692] is 1.000000 + 2.000000 = 3.000000
a[693] + b[693] == out[693] is 1.000000 + 2.000000 = 3.000000
a[694] + b[694] == out[694] is 1.000000 + 2.000000 = 3.000000
a[695] + b[695] == out[695] is 1.000000 + 2.000000 = 3.000000
a[696] + b[696] == out[696] is 1.000000 + 2.000000 = 3.000000
a[697] + b[697] == out[697] is 1.000000 + 2.000000 = 3.000000
a[698] + b[698] == out[698] is 1.000000 + 2.000000 = 3.000000
a[699] + b[699] == out[699] is 1.000000 + 2.000000 = 3.000000
a[700] + b[700] == out[700] is 1.000000 + 2.000000 = 3.000000
a[701] + b[701] == out[701] is 1.000000 + 2.000000 = 3.000000
a[702] + b[702] == out[702] is 1.000000 + 2.000000 = 3.000000
a[703] + b[703] == out[703] is 1.000000 + 2.000000 = 3.000000
a[704] + b[704] == out[704] is 1.000000 + 2.000000 = 3.000000
a[705] + b[705] == out[705] is 1.000000 + 2.000000 = 3.000000
a[706] + b[706] == out[706] is 1.000000 + 2.000000 = 3.000000
a[707] + b[707] == out[707] is 1.000000 + 2.000000 = 3.000000
a[708] + b[708] == out[708] is 1.000000 + 2.000000 = 3.000000
a[709] + b[709] == out[709] is 1.000000 + 2.000000 = 3.000000
a[710] + b[710] == out[710] is 1.000000 + 2.000000 = 3.000000
a[711] + b[711] == out[711] is 1.000000 + 2.000000 = 3.000000
a[712] + b[712] == out[712] is 1.000000 + 2.000000 = 3.000000
a[713] + b[713] == out[713] is 1.000000 + 2.000000 = 3.000000
a[714] + b[714] == out[714] is 1.000000 + 2.000000 = 3.000000
a[715] + b[715] == out[715] is 1.000000 + 2.000000 = 3.000000
a[716] + b[716] == out[716] is 1.000000 + 2.000000 = 3.000000
a[717] + b[717] == out[717] is 1.000000 + 2.000000 = 3.000000
a[718] + b[718] == out[718] is 1.000000 + 2.000000 = 3.000000
a[719] + b[719] == out[719] is 1.000000 + 2.000000 = 3.000000
a[720] + b[720] == out[720] is 1.000000 + 2.000000 = 3.000000
a[721] + b[721] == out[721] is 1.000000 + 2.000000 = 3.000000
a[722] + b[722] == out[722] is 1.000000 + 2.000000 = 3.000000
a[723] + b[723] == out[723] is 1.000000 + 2.000000 = 3.000000
a[724] + b[724] == out[724] is 1.000000 + 2.000000 = 3.000000
a[725] + b[725] == out[725] is 1.000000 + 2.000000 = 3.000000
a[726] + b[726] == out[726] is 1.000000 + 2.000000 = 3.000000
a[727] + b[727] == out[727] is 1.000000 + 2.000000 = 3.000000
a[728] + b[728] == out[728] is 1.000000 + 2.000000 = 3.000000
a[729] + b[729] == out[729] is 1.000000 + 2.000000 = 3.000000
a[730] + b[730] == out[730] is 1.000000 + 2.000000 = 3.000000
a[731] + b[731] == out[731] is 1.000000 + 2.000000 = 3.000000
a[732] + b[732] == out[732] is 1.000000 + 2.000000 = 3.000000
a[733] + b[733] == out[733] is 1.000000 + 2.000000 = 3.000000
a[734] + b[734] == out[734] is 1.000000 + 2.000000 = 3.000000
a[735] + b[735] == out[735] is 1.000000 + 2.000000 = 3.000000
a[736] + b[736] == out[736] is 1.000000 + 2.000000 = 3.000000
a[737] + b[737] == out[737] is 1.000000 + 2.000000 = 3.000000
a[738] + b[738] == out[738] is 1.000000 + 2.000000 = 3.000000
a[739] + b[739] == out[739] is 1.000000 + 2.000000 = 3.000000
a[740] + b[740] == out[740] is 1.000000 + 2.000000 = 3.000000
a[741] + b[741] == out[741] is 1.000000 + 2.000000 = 3.000000
a[742] + b[742] == out[742] is 1.000000 + 2.000000 = 3.000000
a[743] + b[743] == out[743] is 1.000000 + 2.000000 = 3.000000
a[744] + b[744] == out[744] is 1.000000 + 2.000000 = 3.000000
a[745] + b[745] == out[745] is 1.000000 + 2.000000 = 3.000000
a[746] + b[746] == out[746] is 1.000000 + 2.000000 = 3.000000
a[747] + b[747] == out[747] is 1.000000 + 2.000000 = 3.000000
a[748] + b[748] == out[748] is 1.000000 + 2.000000 = 3.000000
a[749] + b[749] == out[749] is 1.000000 + 2.000000 = 3.000000
a[750] + b[750] == out[750] is 1.000000 + 2.000000 = 3.000000
a[751] + b[751] == out[751] is 1.000000 + 2.000000 = 3.000000
a[752] + b[752] == out[752] is 1.000000 + 2.000000 = 3.000000
a[753] + b[753] == out[753] is 1.000000 + 2.000000 = 3.000000
a[754] + b[754] == out[754] is 1.000000 + 2.000000 = 3.000000
a[755] + b[755] == out[755] is 1.000000 + 2.000000 = 3.000000
a[756] + b[756] == out[756] is 1.000000 + 2.000000 = 3.000000
a[757] + b[757] == out[757] is 1.000000 + 2.000000 = 3.000000
a[758] + b[758] == out[758] is 1.000000 + 2.000000 = 3.000000
a[759] + b[759] == out[759] is 1.000000 + 2.000000 = 3.000000
a[760] + b[760] == out[760] is 1.000000 + 2.000000 = 3.000000
a[761] + b[761] == out[761] is 1.000000 + 2.000000 = 3.000000
a[762] + b[762] == out[762] is 1.000000 + 2.000000 = 3.000000
a[763] + b[763] == out[763] is 1.000000 + 2.000000 = 3.000000
a[764] + b[764] == out[764] is 1.000000 + 2.000000 = 3.000000
a[765] + b[765] == out[765] is 1.000000 + 2.000000 = 3.000000
a[766] + b[766] == out[766] is 1.000000 + 2.000000 = 3.000000
a[767] + b[767] == out[767] is 1.000000 + 2.000000 = 3.000000
a[768] + b[768] == out[768] is 1.000000 + 2.000000 = 3.000000
a[769] + b[769] == out[769] is 1.000000 + 2.000000 = 3.000000
a[770] + b[770] == out[770] is 1.000000 + 2.000000 = 3.000000
a[771] + b[771] == out[771] is 1.000000 + 2.000000 = 3.000000
a[772] + b[772] == out[772] is 1.000000 + 2.000000 = 3.000000
a[773] + b[773] == out[773] is 1.000000 + 2.000000 = 3.000000
a[774] + b[774] == out[774] is 1.000000 + 2.000000 = 3.000000
a[775] + b[775] == out[775] is 1.000000 + 2.000000 = 3.000000
a[776] + b[776] == out[776] is 1.000000 + 2.000000 = 3.000000
a[777] + b[777] == out[777] is 1.000000 + 2.000000 = 3.000000
a[778] + b[778] == out[778] is 1.000000 + 2.000000 = 3.000000
a[779] + b[779] == out[779] is 1.000000 + 2.000000 = 3.000000
a[780] + b[780] == out[780] is 1.000000 + 2.000000 = 3.000000
a[781] + b[781] == out[781] is 1.000000 + 2.000000 = 3.000000
a[782] + b[782] == out[782] is 1.000000 + 2.000000 = 3.000000
a[783] + b[783] == out[783] is 1.000000 + 2.000000 = 3.000000
a[784] + b[784] == out[784] is 1.000000 + 2.000000 = 3.000000
a[785] + b[785] == out[785] is 1.000000 + 2.000000 = 3.000000
a[786] + b[786] == out[786] is 1.000000 + 2.000000 = 3.000000
a[787] + b[787] == out[787] is 1.000000 + 2.000000 = 3.000000
a[788] + b[788] == out[788] is 1.000000 + 2.000000 = 3.000000
a[789] + b[789] == out[789] is 1.000000 + 2.000000 = 3.000000
a[790] + b[790] == out[790] is 1.000000 + 2.000000 = 3.000000
a[791] + b[791] == out[791] is 1.000000 + 2.000000 = 3.000000
a[792] + b[792] == out[792] is 1.000000 + 2.000000 = 3.000000
a[793] + b[793] == out[793] is 1.000000 + 2.000000 = 3.000000
a[794] + b[794] == out[794] is 1.000000 + 2.000000 = 3.000000
a[795] + b[795] == out[795] is 1.000000 + 2.000000 = 3.000000
a[796] + b[796] == out[796] is 1.000000 + 2.000000 = 3.000000
a[797] + b[797] == out[797] is 1.000000 + 2.000000 = 3.000000
a[798] + b[798] == out[798] is 1.000000 + 2.000000 = 3.000000
a[799] + b[799] == out[799] is 1.000000 + 2.000000 = 3.000000
a[800] + b[800] == out[800] is 1.000000 + 2.000000 = 3.000000
a[801] + b[801] == out[801] is 1.000000 + 2.000000 = 3.000000
a[802] + b[802] == out[802] is 1.000000 + 2.000000 = 3.000000
a[803] + b[803] == out[803] is 1.000000 + 2.000000 = 3.000000
a[804] + b[804] == out[804] is 1.000000 + 2.000000 = 3.000000
a[805] + b[805] == out[805] is 1.000000 + 2.000000 = 3.000000
a[806] + b[806] == out[806] is 1.000000 + 2.000000 = 3.000000
a[807] + b[807] == out[807] is 1.000000 + 2.000000 = 3.000000
a[808] + b[808] == out[808] is 1.000000 + 2.000000 = 3.000000
a[809] + b[809] == out[809] is 1.000000 + 2.000000 = 3.000000
a[810] + b[810] == out[810] is 1.000000 + 2.000000 = 3.000000
a[811] + b[811] == out[811] is 1.000000 + 2.000000 = 3.000000
a[812] + b[812] == out[812] is 1.000000 + 2.000000 = 3.000000
a[813] + b[813] == out[813] is 1.000000 + 2.000000 = 3.000000
a[814] + b[814] == out[814] is 1.000000 + 2.000000 = 3.000000
a[815] + b[815] == out[815] is 1.000000 + 2.000000 = 3.000000
a[816] + b[816] == out[816] is 1.000000 + 2.000000 = 3.000000
a[817] + b[817] == out[817] is 1.000000 + 2.000000 = 3.000000
a[818] + b[818] == out[818] is 1.000000 + 2.000000 = 3.000000
a[819] + b[819] == out[819] is 1.000000 + 2.000000 = 3.000000
a[820] + b[820] == out[820] is 1.000000 + 2.000000 = 3.000000
a[821] + b[821] == out[821] is 1.000000 + 2.000000 = 3.000000
a[822] + b[822] == out[822] is 1.000000 + 2.000000 = 3.000000
a[823] + b[823] == out[823] is 1.000000 + 2.000000 = 3.000000
a[824] + b[824] == out[824] is 1.000000 + 2.000000 = 3.000000
a[825] + b[825] == out[825] is 1.000000 + 2.000000 = 3.000000
a[826] + b[826] == out[826] is 1.000000 + 2.000000 = 3.000000
a[827] + b[827] == out[827] is 1.000000 + 2.000000 = 3.000000
a[828] + b[828] == out[828] is 1.000000 + 2.000000 = 3.000000
a[829] + b[829] == out[829] is 1.000000 + 2.000000 = 3.000000
a[830] + b[830] == out[830] is 1.000000 + 2.000000 = 3.000000
a[831] + b[831] == out[831] is 1.000000 + 2.000000 = 3.000000
a[832] + b[832] == out[832] is 1.000000 + 2.000000 = 3.000000
a[833] + b[833] == out[833] is 1.000000 + 2.000000 = 3.000000
a[834] + b[834] == out[834] is 1.000000 + 2.000000 = 3.000000
a[835] + b[835] == out[835] is 1.000000 + 2.000000 = 3.000000
a[836] + b[836] == out[836] is 1.000000 + 2.000000 = 3.000000
a[837] + b[837] == out[837] is 1.000000 + 2.000000 = 3.000000
a[838] + b[838] == out[838] is 1.000000 + 2.000000 = 3.000000
a[839] + b[839] == out[839] is 1.000000 + 2.000000 = 3.000000
a[840] + b[840] == out[840] is 1.000000 + 2.000000 = 3.000000
a[841] + b[841] == out[841] is 1.000000 + 2.000000 = 3.000000
a[842] + b[842] == out[842] is 1.000000 + 2.000000 = 3.000000
a[843] + b[843] == out[843] is 1.000000 + 2.000000 = 3.000000
a[844] + b[844] == out[844] is 1.000000 + 2.000000 = 3.000000
a[845] + b[845] == out[845] is 1.000000 + 2.000000 = 3.000000
a[846] + b[846] == out[846] is 1.000000 + 2.000000 = 3.000000
a[847] + b[847] == out[847] is 1.000000 + 2.000000 = 3.000000
a[848] + b[848] == out[848] is 1.000000 + 2.000000 = 3.000000
a[849] + b[849] == out[849] is 1.000000 + 2.000000 = 3.000000
a[850] + b[850] == out[850] is 1.000000 + 2.000000 = 3.000000
a[851] + b[851] == out[851] is 1.000000 + 2.000000 = 3.000000
a[852] + b[852] == out[852] is 1.000000 + 2.000000 = 3.000000
a[853] + b[853] == out[853] is 1.000000 + 2.000000 = 3.000000
a[854] + b[854] == out[854] is 1.000000 + 2.000000 = 3.000000
a[855] + b[855] == out[855] is 1.000000 + 2.000000 = 3.000000
a[856] + b[856] == out[856] is 1.000000 + 2.000000 = 3.000000
a[857] + b[857] == out[857] is 1.000000 + 2.000000 = 3.000000
a[858] + b[858] == out[858] is 1.000000 + 2.000000 = 3.000000
a[859] + b[859] == out[859] is 1.000000 + 2.000000 = 3.000000
a[860] + b[860] == out[860] is 1.000000 + 2.000000 = 3.000000
a[861] + b[861] == out[861] is 1.000000 + 2.000000 = 3.000000
a[862] + b[862] == out[862] is 1.000000 + 2.000000 = 3.000000
a[863] + b[863] == out[863] is 1.000000 + 2.000000 = 3.000000
a[864] + b[864] == out[864] is 1.000000 + 2.000000 = 3.000000
a[865] + b[865] == out[865] is 1.000000 + 2.000000 = 3.000000
a[866] + b[866] == out[866] is 1.000000 + 2.000000 = 3.000000
a[867] + b[867] == out[867] is 1.000000 + 2.000000 = 3.000000
a[868] + b[868] == out[868] is 1.000000 + 2.000000 = 3.000000
a[869] + b[869] == out[869] is 1.000000 + 2.000000 = 3.000000
a[870] + b[870] == out[870] is 1.000000 + 2.000000 = 3.000000
a[871] + b[871] == out[871] is 1.000000 + 2.000000 = 3.000000
a[872] + b[872] == out[872] is 1.000000 + 2.000000 = 3.000000
a[873] + b[873] == out[873] is 1.000000 + 2.000000 = 3.000000
a[874] + b[874] == out[874] is 1.000000 + 2.000000 = 3.000000
a[875] + b[875] == out[875] is 1.000000 + 2.000000 = 3.000000
a[876] + b[876] == out[876] is 1.000000 + 2.000000 = 3.000000
a[877] + b[877] == out[877] is 1.000000 + 2.000000 = 3.000000
a[878] + b[878] == out[878] is 1.000000 + 2.000000 = 3.000000
a[879] + b[879] == out[879] is 1.000000 + 2.000000 = 3.000000
a[880] + b[880] == out[880] is 1.000000 + 2.000000 = 3.000000
a[881] + b[881] == out[881] is 1.000000 + 2.000000 = 3.000000
a[882] + b[882] == out[882] is 1.000000 + 2.000000 = 3.000000
a[883] + b[883] == out[883] is 1.000000 + 2.000000 = 3.000000
a[884] + b[884] == out[884] is 1.000000 + 2.000000 = 3.000000
a[885] + b[885] == out[885] is 1.000000 + 2.000000 = 3.000000
a[886] + b[886] == out[886] is 1.000000 + 2.000000 = 3.000000
a[887] + b[887] == out[887] is 1.000000 + 2.000000 = 3.000000
a[888] + b[888] == out[888] is 1.000000 + 2.000000 = 3.000000
a[889] + b[889] == out[889] is 1.000000 + 2.000000 = 3.000000
a[890] + b[890] == out[890] is 1.000000 + 2.000000 = 3.000000
a[891] + b[891] == out[891] is 1.000000 + 2.000000 = 3.000000
a[892] + b[892] == out[892] is 1.000000 + 2.000000 = 3.000000
a[893] + b[893] == out[893] is 1.000000 + 2.000000 = 3.000000
a[894] + b[894] == out[894] is 1.000000 + 2.000000 = 3.000000
a[895] + b[895] == out[895] is 1.000000 + 2.000000 = 3.000000
a[896] + b[896] == out[896] is 1.000000 + 2.000000 = 3.000000
a[897] + b[897] == out[897] is 1.000000 + 2.000000 = 3.000000
a[898] + b[898] == out[898] is 1.000000 + 2.000000 = 3.000000
a[899] + b[899] == out[899] is 1.000000 + 2.000000 = 3.000000
a[900] + b[900] == out[900] is 1.000000 + 2.000000 = 3.000000
a[901] + b[901] == out[901] is 1.000000 + 2.000000 = 3.000000
a[902] + b[902] == out[902] is 1.000000 + 2.000000 = 3.000000
a[903] + b[903] == out[903] is 1.000000 + 2.000000 = 3.000000
a[904] + b[904] == out[904] is 1.000000 + 2.000000 = 3.000000
a[905] + b[905] == out[905] is 1.000000 + 2.000000 = 3.000000
a[906] + b[906] == out[906] is 1.000000 + 2.000000 = 3.000000
a[907] + b[907] == out[907] is 1.000000 + 2.000000 = 3.000000
a[908] + b[908] == out[908] is 1.000000 + 2.000000 = 3.000000
a[909] + b[909] == out[909] is 1.000000 + 2.000000 = 3.000000
a[910] + b[910] == out[910] is 1.000000 + 2.000000 = 3.000000
a[911] + b[911] == out[911] is 1.000000 + 2.000000 = 3.000000
a[912] + b[912] == out[912] is 1.000000 + 2.000000 = 3.000000
a[913] + b[913] == out[913] is 1.000000 + 2.000000 = 3.000000
a[914] + b[914] == out[914] is 1.000000 + 2.000000 = 3.000000
a[915] + b[915] == out[915] is 1.000000 + 2.000000 = 3.000000
a[916] + b[916] == out[916] is 1.000000 + 2.000000 = 3.000000
a[917] + b[917] == out[917] is 1.000000 + 2.000000 = 3.000000
a[918] + b[918] == out[918] is 1.000000 + 2.000000 = 3.000000
a[919] + b[919] == out[919] is 1.000000 + 2.000000 = 3.000000
a[920] + b[920] == out[920] is 1.000000 + 2.000000 = 3.000000
a[921] + b[921] == out[921] is 1.000000 + 2.000000 = 3.000000
a[922] + b[922] == out[922] is 1.000000 + 2.000000 = 3.000000
a[923] + b[923] == out[923] is 1.000000 + 2.000000 = 3.000000
a[924] + b[924] == out[924] is 1.000000 + 2.000000 = 3.000000
a[925] + b[925] == out[925] is 1.000000 + 2.000000 = 3.000000
a[926] + b[926] == out[926] is 1.000000 + 2.000000 = 3.000000
a[927] + b[927] == out[927] is 1.000000 + 2.000000 = 3.000000
a[928] + b[928] == out[928] is 1.000000 + 2.000000 = 3.000000
a[929] + b[929] == out[929] is 1.000000 + 2.000000 = 3.000000
a[930] + b[930] == out[930] is 1.000000 + 2.000000 = 3.000000
a[931] + b[931] == out[931] is 1.000000 + 2.000000 = 3.000000
a[932] + b[932] == out[932] is 1.000000 + 2.000000 = 3.000000
a[933] + b[933] == out[933] is 1.000000 + 2.000000 = 3.000000
a[934] + b[934] == out[934] is 1.000000 + 2.000000 = 3.000000
a[935] + b[935] == out[935] is 1.000000 + 2.000000 = 3.000000
a[936] + b[936] == out[936] is 1.000000 + 2.000000 = 3.000000
a[937] + b[937] == out[937] is 1.000000 + 2.000000 = 3.000000
a[938] + b[938] == out[938] is 1.000000 + 2.000000 = 3.000000
a[939] + b[939] == out[939] is 1.000000 + 2.000000 = 3.000000
a[940] + b[940] == out[940] is 1.000000 + 2.000000 = 3.000000
a[941] + b[941] == out[941] is 1.000000 + 2.000000 = 3.000000
a[942] + b[942] == out[942] is 1.000000 + 2.000000 = 3.000000
a[943] + b[943] == out[943] is 1.000000 + 2.000000 = 3.000000
a[944] + b[944] == out[944] is 1.000000 + 2.000000 = 3.000000
a[945] + b[945] == out[945] is 1.000000 + 2.000000 = 3.000000
a[946] + b[946] == out[946] is 1.000000 + 2.000000 = 3.000000
a[947] + b[947] == out[947] is 1.000000 + 2.000000 = 3.000000
a[948] + b[948] == out[948] is 1.000000 + 2.000000 = 3.000000
a[949] + b[949] == out[949] is 1.000000 + 2.000000 = 3.000000
a[950] + b[950] == out[950] is 1.000000 + 2.000000 = 3.000000
a[951] + b[951] == out[951] is 1.000000 + 2.000000 = 3.000000
a[952] + b[952] == out[952] is 1.000000 + 2.000000 = 3.000000
a[953] + b[953] == out[953] is 1.000000 + 2.000000 = 3.000000
a[954] + b[954] == out[954] is 1.000000 + 2.000000 = 3.000000
a[955] + b[955] == out[955] is 1.000000 + 2.000000 = 3.000000
a[956] + b[956] == out[956] is 1.000000 + 2.000000 = 3.000000
a[957] + b[957] == out[957] is 1.000000 + 2.000000 = 3.000000
a[958] + b[958] == out[958] is 1.000000 + 2.000000 = 3.000000
a[959] + b[959] == out[959] is 1.000000 + 2.000000 = 3.000000
a[960] + b[960] == out[960] is 1.000000 + 2.000000 = 3.000000
a[961] + b[961] == out[961] is 1.000000 + 2.000000 = 3.000000
a[962] + b[962] == out[962] is 1.000000 + 2.000000 = 3.000000
a[963] + b[963] == out[963] is 1.000000 + 2.000000 = 3.000000
a[964] + b[964] == out[964] is 1.000000 + 2.000000 = 3.000000
a[965] + b[965] == out[965] is 1.000000 + 2.000000 = 3.000000
a[966] + b[966] == out[966] is 1.000000 + 2.000000 = 3.000000
a[967] + b[967] == out[967] is 1.000000 + 2.000000 = 3.000000
a[968] + b[968] == out[968] is 1.000000 + 2.000000 = 3.000000
a[969] + b[969] == out[969] is 1.000000 + 2.000000 = 3.000000
a[970] + b[970] == out[970] is 1.000000 + 2.000000 = 3.000000
a[971] + b[971] == out[971] is 1.000000 + 2.000000 = 3.000000
a[972] + b[972] == out[972] is 1.000000 + 2.000000 = 3.000000
a[973] + b[973] == out[973] is 1.000000 + 2.000000 = 3.000000
a[974] + b[974] == out[974] is 1.000000 + 2.000000 = 3.000000
a[975] + b[975] == out[975] is 1.000000 + 2.000000 = 3.000000
a[976] + b[976] == out[976] is 1.000000 + 2.000000 = 3.000000
a[977] + b[977] == out[977] is 1.000000 + 2.000000 = 3.000000
a[978] + b[978] == out[978] is 1.000000 + 2.000000 = 3.000000
a[979] + b[979] == out[979] is 1.000000 + 2.000000 = 3.000000
a[980] + b[980] == out[980] is 1.000000 + 2.000000 = 3.000000
a[981] + b[981] == out[981] is 1.000000 + 2.000000 = 3.000000
a[982] + b[982] == out[982] is 1.000000 + 2.000000 = 3.000000
a[983] + b[983] == out[983] is 1.000000 + 2.000000 = 3.000000
a[984] + b[984] == out[984] is 1.000000 + 2.000000 = 3.000000
a[985] + b[985] == out[985] is 1.000000 + 2.000000 = 3.000000
a[986] + b[986] == out[986] is 1.000000 + 2.000000 = 3.000000
a[987] + b[987] == out[987] is 1.000000 + 2.000000 = 3.000000
a[988] + b[988] == out[988] is 1.000000 + 2.000000 = 3.000000
a[989] + b[989] == out[989] is 1.000000 + 2.000000 = 3.000000
a[990] + b[990] == out[990] is 1.000000 + 2.000000 = 3.000000
a[991] + b[991] == out[991] is 1.000000 + 2.000000 = 3.000000
a[992] + b[992] == out[992] is 1.000000 + 2.000000 = 3.000000
a[993] + b[993] == out[993] is 1.000000 + 2.000000 = 3.000000
a[994] + b[994] == out[994] is 1.000000 + 2.000000 = 3.000000
a[995] + b[995] == out[995] is 1.000000 + 2.000000 = 3.000000
a[996] + b[996] == out[996] is 1.000000 + 2.000000 = 3.000000
a[997] + b[997] == out[997] is 1.000000 + 2.000000 = 3.000000
a[998] + b[998] == out[998] is 1.000000 + 2.000000 = 3.000000
a[999] + b[999] == out[999] is 1.000000 + 2.000000 = 3.000000
a[1000] + b[1000] == out[1000] is 1.000000 + 2.000000 = 3.000000
a[1001] + b[1001] == out[1001] is 1.000000 + 2.000000 = 3.000000
a[1002] + b[1002] == out[1002] is 1.000000 + 2.000000 = 3.000000
a[1003] + b[1003] == out[1003] is 1.000000 + 2.000000 = 3.000000
a[1004] + b[1004] == out[1004] is 1.000000 + 2.000000 = 3.000000
a[1005] + b[1005] == out[1005] is 1.000000 + 2.000000 = 3.000000
a[1006] + b[1006] == out[1006] is 1.000000 + 2.000000 = 3.000000
a[1007] + b[1007] == out[1007] is 1.000000 + 2.000000 = 3.000000
a[1008] + b[1008] == out[1008] is 1.000000 + 2.000000 = 3.000000
a[1009] + b[1009] == out[1009] is 1.000000 + 2.000000 = 3.000000
a[1010] + b[1010] == out[1010] is 1.000000 + 2.000000 = 3.000000
a[1011] + b[1011] == out[1011] is 1.000000 + 2.000000 = 3.000000
a[1012] + b[1012] == out[1012] is 1.000000 + 2.000000 = 3.000000
a[1013] + b[1013] == out[1013] is 1.000000 + 2.000000 = 3.000000
a[1014] + b[1014] == out[1014] is 1.000000 + 2.000000 = 3.000000
a[1015] + b[1015] == out[1015] is 1.000000 + 2.000000 = 3.000000
a[1016] + b[1016] == out[1016] is 1.000000 + 2.000000 = 3.000000
a[1017] + b[1017] == out[1017] is 1.000000 + 2.000000 = 3.000000
a[1018] + b[1018] == out[1018] is 1.000000 + 2.000000 = 3.000000
a[1019] + b[1019] == out[1019] is 1.000000 + 2.000000 = 3.000000
a[1020] + b[1020] == out[1020] is 1.000000 + 2.000000 = 3.000000
a[1021] + b[1021] == out[1021] is 1.000000 + 2.000000 = 3.000000
a[1022] + b[1022] == out[1022] is 1.000000 + 2.000000 = 3.000000
a[1023] + b[1023] == out[1023] is 1.000000 + 2.000000 = 3.000000
Passed
1
对于新到手的项目可以直接放到容器的nginx根目录（快速部署 /usr/share/nginx/html），可以在映射的本机端口进入
2
to my case:
sudo docker run -d -p 80:80 -v /home/sx/Documents/Java/ANANProject/layuimini/:/usr/share/nginx/html/ nginx