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dev:questions_ulam [2015/05/30 12:40]
xychen [Week One]
dev:questions_ulam [2015/05/31 03:57]
ackley [Q: Does ws.getPick(typeIndex) only return one site? How to access each site within an event window?]
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 What is the range for an ''​Unary''​ number? How many bits does it take? What is the range for an ''​Unary''​ number? How many bits does it take?
  
-A: To understand the range of an Unary number, we first have to know how it is represented. An Unary(n) number takes n bits. It represents an integer of the number of 1's in it. For example ​+**A:** To understand the range of an Unary number, we first have to know how it is represented. An Unary(n) number takes n bits. It represents an integer of the number of 1's in it. For example ​
 ''​Unary(5) myUnary5 ''​ takes 5 bits. There could be 0 to 5 1's in it. So the range is from 0 to 5. ''​Unary(5) myUnary5 ''​ takes 5 bits. There could be 0 to 5 1's in it. So the range is from 0 to 5.
  
 That explains why the following code will output 1,3 and 7 when the value I expected is only 0,1,2,3. That explains why the following code will output 1,3 and 7 when the value I expected is only 0,1,2,3.
 <​code>​ <​code>​
 +DebugUtils du; 
 +Unary(4) ns; 
 +if(ns==0){ 
 +  ns=1; 
 +
 +else if(ns==1){ 
 +  ns=2; 
 +
 +else if(ns==2){ 
 +  ns=3; 
 +
 +else if(ns==3){ 
 +  ns=0; 
 +
 +du.printContext();​
 </​code> ​ </​code> ​
  
 ==== Q: More about the bits in Unary ==== ==== Q: More about the bits in Unary ====
 If the value of an myUnary5 is ''​1'',​ does it mean the possible bits that myUnary5 holds could be '​00001',​ '​00010',​ '​00100',​ '​01000'​ and '​10000'? ​   If the value of an myUnary5 is ''​1'',​ does it mean the possible bits that myUnary5 holds could be '​00001',​ '​00010',​ '​00100',​ '​01000'​ and '​10000'? ​  
 +
 +**A: 30-May-2015 02:​56:​33PM-0600:​ ** Yes, a ''​Unary''​ value that contains a single '​on'​ bit will have value ''​1'',​ regardless of its position. ​ So, for example, in a ''​Unary(3)'',​ there is only one representation of //zero// (''​000''​),​ and one representation of //three// (''​111''​),​ but there are three possible representations for //one// (''​001'',​ ''​010'',​ ''​100''​) and three representations for //two// (''​110'',​ ''​101'',​ ''​011''​). ​ Only the number of one bits (known as the '​population count' or '​popcount'​) matters in determining a ''​Unary''​ value.
 ===== Week Two ===== ===== Week Two =====
  
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 because that particular ''​ws.scan(rt)''​ can only return true if ''​ws.getPick(0)''​ is going to return the event window index of a ''​Request''​ atom.  (It's not this easy, though, if you are scanning for multiple things simultaneously.) because that particular ''​ws.scan(rt)''​ can only return true if ''​ws.getPick(0)''​ is going to return the event window index of a ''​Request''​ atom.  (It's not this easy, though, if you are scanning for multiple things simultaneously.)
  
-**Thank you professor**! Now I understand that ''​ws.getPick(typeIndex)''​ returns an event window index. ​But this is a one shot pick right? ​''​ws.getPick(typeIndex)''​ can randomly pick one atom of this type. When I want to select an atom of this type but also has the maximum value of a certain data member, I should use the for loop to check each atom of this type and get this maximum atom. Like here I want to find the ''​Request ATOM''​ which has the max density value within this EventWindow. ​+==== Q: Does ws.getPick(typeIndex) only return one site? How to access each site within an event window? ==== 
 +**Thank you**! Now I understand that ''​ws.getPick(typeIndex)''​ returns an event window index. ''​ws.getPick(typeIndex)''​ can randomly pick one atom of this type. When I want to select an atom of this type but also has the maximum value of a certain data member, I should use the for loop to check each atom of this type and get this maximum atom. Like here I want to find the ''​Request ATOM''​ which has the max density value within this EventWindow.  
 + 
 +**A: 31-May-2015 12:​51:​43AM-0600:​** To select an atom based on anything other than its type, in general you'll need to write a loop explicitly, rather than using ''​scan()''​ -- although ''​WindowServices''​ can help with the event window indexing. 
 + 
 +But even when you do need to loop, we have ''​SelectorServices''​ to provide some help for simpler tasks like finding and picking fairly among maxima and minima. ​ Here are two ''​SelectorServices''​ examples. ​ The first, ''​SSDemo1'',​ uses ''​SelectorServices''​ in a relatively general way, while the second, ''​SSDemo2'',​ is a bit optimized for shorter code. 
 + 
 +<code - SSDemo1.ulam>​ 
 + 
 +/** 
 +   ​SSDemo1s share the highest Score among their connected group. 
 + */ 
 + 
 +element SSDemo1 { 
 +  // Typedefs 
 +  typedef Unsigned(8) Score; 
 + 
 +  // Utilities 
 +  EventWindow ew; 
 +  Random random; 
 +  DebugUtils du; 
 + 
 +  // Data members 
 +  Score val; 
 + 
 +  Void behave() { 
 +    if (val == 0) // randomize initial vals 
 +      val = random.bits(val.sizeof);​ 
 + 
 +    WindowServices ws;    // Scanning support 
 +    SelectorServices ss;  // Selection support 
 + 
 +    ws.reset(1,​4);​ // Scan all but us (for this example) 
 +    ss.reset();​ 
 + 
 +    for (Int idx = ws.next(); idx >= 0; idx = ws.next()) { 
 +      Atom a = ew[idx]; 
 +      if (a as SSDemo1) 
 +        ss.maximize(idx,​ (Int) a.val); 
 +    } 
 +    // This code is fairly general, but cumbersome. ​ Compare SSDemo2 
 +    if (ss.selectionMade()) { 
 +      Int sidx = ss.getSelectedKey();​ // The site that maximized 
 +      SSDemo1 f = (SSDemo1) ew[sidx]; // which we know is a SSDemo1 
 +      if (f.val > 0)                  // ..if they'​ve been initted 
 +        val = f.val; ​                 // ..pick up their val 
 +      du.printContext(); ​             // and report for debugging. 
 +    } 
 +  } 
 +
 + 
 +</​code>​ 
 + 
 +<code - SSDemo2.ulam>​ 
 + 
 +/** 
 +   ​SSDemo2s share the highest Score among their connected group. 
 + */ 
 + 
 +element SSDemo2 { 
 +  // Typedefs 
 +  typedef Unsigned(8) Score; 
 + 
 +  // Utilities 
 +  EventWindow ew; 
 +  Random random; 
 +  DebugUtils du; 
 + 
 +  // Data members 
 +  Score val; 
 + 
 +  Void behave() { 
 +    if (val == 0) // randomize initial vals 
 +      val = random.bits(val.sizeof);​ 
 + 
 +    WindowServices ws;    // Scanning support 
 +    SelectorServices ss;  // Selection support 
 + 
 +    ws.reset(0,​4);​ // Scan everyone including us 
 +    ss.reset();​ 
 + 
 +    for (Int idx = ws.next(); idx >= 0; idx = ws.next()) { 
 +      Atom a = ew[idx]; 
 +      if (a as SSDemo2) 
 +        ss.maximize((Int) a.val); ​ // Don't need the idx this way.. 
 +    } 
 +    // We scanned ourselves, so we know ss.selectionMade() will be 
 +    // true.  So we just take the chosen value (even if it was ours). 
 +    val = (Score) ss.getSelectedValue();​ 
 +    du.printContext();​ 
 +  } 
 +
 + 
 +</​code>​ 
 + 
 + 
 +==== Q: How to change the size of the MFM simulator? ==== 
 +Sometimes the canvas is too big for my experiment. If I don't want those atoms diffuse too far away, I will draw a box of ''​Wall''​. Can we change the size of MFM simulator?​ 
 + 
 +A: In version 3, the ''​mfms''​ simulator has a nice new feature: You can specify the grid size 
 +(and even the tile size!) on the command line. 
 + 
 +Read the very beginning of the output from 'mfms -h' about geometry. ​ If the geometry 
 +is specified is has to be the first argument on the command line. 
 + 
 +Try something like:  
 + 
 +  you@linux$ ..path../​mfms {2C2} -flags -what -ever 
 + 
 +or even  
 + 
 +  you@linux$ ..path../​mfms {1H1} -flags -what -ever 
 + 
 +==== Q: Do smaller grid geometries make the simulator run faster? ==== 
 + 
 +**Thank you!** That's better than drawing ''​Walls''​ by hand. The right side is the resized MFM simulator by {2C2}. And isn't the smaller simulator running faster? 
 + 
 +{{:​dev:​mfms_signalrequest_2.9.png?​nolink&​400 |}}{{:​dev:​mfms_resize.png?​nolink&​400 |}} 
 + 
 +**A: 31-May-2015 01:​06:​01AM-0600:​ ** It depends somewhat on your hardware -- in particular, how many //real// cores you have, but yes, in general a smaller grid geometry -- fewer and smaller tiles, down to some limit -- will typically be faster than more and larger tiles. ​ Any single tile geometry will be running single-threaded,​ though, so in some cases multiple smaller tiles will be faster than one bigger one -- you'll need to experiment some, if maximizing AER is crucial. ​  Also, if you type **''​a''​** a few times after typing **''​i''​** in the simulator, it will display the AER it is producing, so you can get a rough sense of what's faster and slower. 
 + 
 +On a separate point, note that the "edge of the grid" is somewhat different that a ring of ''​Wall''​s. ​ For example, non-existent sites return ''​false''​ from the ''​EventWindow isLive''​ method, but sites containing ''​Wall''​s return true.  For consistency you might want to draw a ring of ''​Wall''​ around the boundary of even a smaller grid.
dev/questions_ulam.txt · Last modified: 2015/06/01 12:11 by xychen