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Распараллеливание программ. Учебник

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
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
      
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                     
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92
   
                         
Пример 98.
X = Y - A Z = X + B
 
time
1 2 3 4 5 6
Y X X + Z
A B
Рис. 6. Два дерева для блока из двух операторов с циклически независимой
зависимостью выхода первого и входа второго
                  
time
1 2 3 4 5 6
Y X X + Z
A + Z
B
Рис. 7. Результат склейки двух деревьев
93
      

                        
Пример 99.
DO 99 I=3, N X(I) = Y(I) - A Z(I) = X(I-2) + B
99 CONTINUE
 
time
1 2 3 4 5 6
Y(I) Y(I) Y(I–2) + Z(1)
A B
Рис. 8. Два дерева с циклически порожденной зависимостью выхода первого
и входа второго
            
time
1 2 3 4 5 6
Y(I) Y(I)
A
2
+
Z(I)
B
Рис. 9. Результат склейки с циклически порожденной зависимостью
94
  

Пример 100.
DO 99 I=3, N X(I) = A(I)+B(I) 99 Z(I) = Y(I)+Z(I-1)*X(I-2)

A(I) + X(I)
2
B(I) 1
X(I–2)
+ Z(I)
Z(I–1) Y(I)
Рис. 10. Свернутый граф цикла

   
                                                 
Пример 101.

c
+ a
b
Рис. 11. Склейка in-in зависимых вершин
95
   
 
   
          
      
           
          

 
           
Пример 102.
DO 99 I=1,N
99 Y(I)=X(I)…X(I-1)…X(I-9)…X(I-5)…X(I+9)…X(I+3)… X(I+11)
v1 v2 v3 v4 v5 v6 v7
96


     
   
ОТОБРАжЕНИЕ ЦИКЛА НА АРХИТЕКТУРУ КОМПЬЮТЕРА
  
      
   
   
                        

        
97
            

Пример 103.
DO 99 I=3, N Y(I) = X(I) + B(I)*X(I)
99 CONTINUE
B
+ Y
X
Рис. 12. Склейка с циклически порожденной in-in зависимостью


           


 


   
            

Пример 104.
DO 99 I=3, N
98
Y(I) = X(I-2) + B(I)*X(I)
99 CONTINUE
   
X +
Рис. 13. Ячейки буфера с начальными данными
X2 X1
Конец примера.

  

      

0
0
    
    
 
0
0
0

0
  
0
0
0

Пример 105.
DO 99 I = 2, N
99 X(I) = Y(I)+Z(I)*X(I-1)

99
1
X(1)
+ X(I)
Z(I) Y(I)
Рис. 14. Конфликт в подаче данных при обратной связи
  
        

        



  
0

0
       







 


100
Пример 106.
DO 99 I = 2, N
99 X(I) = X(I-1) + Y(I)* (A(I)+X(I-2))






                

Пример 107.        
 
DO 99 I = 2, N X(I) = Y(I-1)*A(I)+Z(I) Y(I) = X(I-2)/B(I)-W(I)
99 CONTINUE

Y(I–1)
+ X(I)
2
A(I) Z(I)
X(I–2)
Y(I)
B(I) W(I)
Рис. 15. Контур с двумя обратными дугами

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