Add more theory

theory2.org

@@ -1,4 +1,36 @@
-* Question 1 - Benchmarking
+* Question 1 - Hazards
+  For the following program describe each hazard with type (data or control), line number and a
+  small (max one sentence) description
+
+** program 1
+  #+begin_src asm
+    addi t0,   zero,  10
+    addi t1,   zero,  20
+    sub  t1,   t1,    t0
+    beq  t1,   zero, .L2
+    jr   ra
+  #+end_src
+
+** program 2
+  #+begin_src asm
+    addi t0,   zero,  10
+    lw   t0,   10(t0)
+    beq  t0,   zero,  .L3
+    jr   ra
+  #+end_src
+
+** program 3
+  #+begin_src asm
+  lw   t0,   0(t0)
+  lw   t1,   4(t0)
+  sw   t0,   8(t1)
+  lw   t1,   12(t0)
+  beq  t0,   t1,  .L3
+  jr   ra
+  #+end_src
+
+* Question 2 - ???
+* Question 3 - Benchmarking
   In order to gauge the performance increase from adding branch predictors it is necessary to do some testing.
   Rather than writing a test from scratch it is better to use the tester already in use in the test harness.
   When running a program the VM outputs a log of all events, including which branches have been taken and which
@@ -11,7 +43,7 @@
   sealed trait BranchEvent
   case class Taken(addr: Int) extends BranchEvent
   case class NotTaken(addr: Int) extends BranchEvent
-  
+
 
   def profile(events: List[BranchEvent]): Int = ???
   #+END_SRC
@@ -22,73 +54,74 @@
 
   #+BEGIN_SRC scala
   def OneBitInfiniteSlots(events: List[BranchEvent]): Int = {
-  
+
     // Helper inspects the next element of the event list. If the event is a mispredict the prediction table is updated
     // to reflect this.
     // As long as there are remaining events the helper calls itself recursively on the remainder
     def helper(events: List[BranchEvent], predictionTable: Map[Int, Boolean]): Int = {
       events match {
 
-        // Scala syntax for matching a list with a head element of some type and a tail 
-	// `case h :: t =>` 
+	// Scala syntax for matching a list with a head element of some type and a tail
+	// `case h :: t =>`
 	// means we want to match a list with at least a head and a tail (tail can be Nil, so we
 	// essentially want to match a list with at least one element)
 	// h is the first element of the list, t is the remainder (which can be Nil, aka empty)
 
-	// `case Constructor(arg1, arg2) :: t => ` 
+	// `case Constructor(arg1, arg2) :: t => `
 	// means we want to match a list whose first element is of type Constructor, giving us access to its internal
 	// values.
 
-	// `case Constructor(arg1, arg2) :: t => if(p(arg1, arg2))` 
+	// `case Constructor(arg1, arg2) :: t => if(p(arg1, arg2))`
 	// means we want to match a list whose first element is of type Constructor while satisfying some predicate p,
 	// called an if guard.
-        case Taken(addr)    :: t if( predictionTable(addr)) => helper(t, predictionTable)
-        case Taken(addr)    :: t if(!predictionTable(addr)) => 1 + helper(t, predictionTable.updated(addr, true))
-        case NotTaken(addr) :: t if(!predictionTable(addr)) => 1 + helper(t, predictionTable.updated(addr, false))
-        case NotTaken(addr) :: t if( predictionTable(addr)) => helper(t, predictionTable)
-        case _ => 0
+	case Taken(addr)    :: t if( predictionTable(addr)) => helper(t, predictionTable)
+	case Taken(addr)    :: t if(!predictionTable(addr)) => 1 + helper(t, predictionTable.updated(addr, true))
+	case NotTaken(addr) :: t if(!predictionTable(addr)) => 1 + helper(t, predictionTable.updated(addr, false))
+	case NotTaken(addr) :: t if( predictionTable(addr)) => helper(t, predictionTable)
+	case _ => 0
       }
     }
-    
+
     // Initially every possible branch is set to false since the initial state of the predictor is to assume branch not taken
     def initState = events.map{
       case Taken(addr)    => (addr, false)
       case NotTaken(addr) => (addr, false)
     }.toMap
-  
+
     helper(events, initState)
   }
   #+END_SRC
-  
+
+** TODO Branch predictor is underspecified, needs to be cleaned up
 ** Your task
    Your job is to implement a test that checks how many misses occur for a 2 bit branch predictor with 4 slots.
    For this task it is probably smart to use something else than a ~Map[(Int, Boolean)]~
-   
+
    The skeleton code is located in ~testRunner.scala~ and can be run using testOnly FiveStage.ProfileTest.
    If you do so now you will see that the unrealistic prediction model yields 1449 misses.
 
-   With a 2 bit 4 slot scheme, how many misses will you incur? 
+   With a 2 bit 4 slot scheme, how many misses will you incur?
    Answer with a number.
-  
-* Question 2 - Cache profiling
+
+* Question 4 - Cache profiling
   Unlike our design which has a very limited memory pool, real designs have access to vast amounts of memory, offset
   by a steep cost in access latency.
   To amend this a modern processor features several caches where even the smallest fastest cache has more memory than
   your entire design.
   In order to investigate how caches can alter performance it is therefore necessary to make some rather
   unrealistic assumptions to see how different cache schemes impacts performance.
-  
-  We will therefore assume the following: 
+
+  We will therefore assume the following:
   + Reads from main memory takes 5 cycles
   + cache has a total storage of 32 words (1024 bits)
   + cache reads work as they do now (i.e no additional latency)
-    
+
   For this exercise you will write a program that parses a log of memory events, similar to previous task
   #+BEGIN_SRC scala
   sealed trait MemoryEvent
   case class Write(addr: Int) extends MemoryEvent
   case class Read(addr: Int) extends MemoryEvent
-  
+
 
   def profile(events: List[MemoryEvent]): Int = ???
   #+END_SRC