Re: Overview of prefix vs postfix notations + evaluation schemes.

"[email protected] [concatenative]" <[email protected]> 15 Jul 2014 23:12:51 -0700
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      <p><br><div class="ygroups-quoted"><div id="ygrps-yiv-86186350"><div id="ygrps-yiv-86186350">Hi, everybody! I heard from Artyom that folks were interested in some clarifications about Om. My mind hasn&#39;t been in the language for a while, but I&#39;ll see if I can shed some light on what I was trying to get at on the website. &nbsp;Some of that is likely specific to Om vs. prefix languages in general.</div><div id="ygrps-yiv-86186350"><br></div><div id="ygrps-yiv-86186350">&gt; Prefix notation more closely models function composition. Instead of storing a data stack in memory, the Om evaluator stores a composed partial function.</div><div id="ygrps-yiv-86186350"><br></div><div id="ygrps-yiv-86186350">The in-memory state of a computation in a postfix language is represented by a dat
 a stack. &nbsp;In Om, an in-memory computation is a function stack, which is analogous to a function composition.</div><div id="ygrps-yiv-86186350"><br></div><div id="ygrps-yiv-86186350">For example, the hypothetical Om program &quot;swap {A}&quot; would first push the &quot;swap&quot; function, then the constant &quot;{A}&quot; function. The function stack now represents the composition of &quot;swap&quot; and &quot;{A}&quot;.</div><div id="ygrps-yiv-86186350"><br></div><div id="ygrps-yiv-86186350">&gt; The evaluator can read, parse and evaluate the input stream in a single pass, sending results to the output stream as soon as they are evaluated. This cannot be done with a postfix, stack-based language because any data on the stack must remain there as it may be needed by a function lat
 er.</div><div id="ygrps-yiv-86186350"><br></div><div id="ygrps-yiv-86186350"><div id="ygrps-yiv-86186350">Think of Om as a stream-based language that rewrites a program from an input stream into a program sent to an output stream.</div><div id="ygrps-yiv-86186350"><br></div></div><div id="ygrps-yiv-86186350">In the above example: when &quot;{B}&quot; is pushed onto &quot;swap {A}&quot;, the state is &quot;swap {A} {B}&quot;, which the interpreter then rewrites as &quot;{B} {A}&quot;. &nbsp;These are both constant functions, and since there is no way that any remaining program could modify these (because it is prefix), they can be written to the output stream.</div><div id="ygrps-yiv-86186350"><br></div><div id="ygrps-yiv-86186350">So for the program &quot;swap {A} {B} swap {C}&quot;, thi
 s will get rewritten to &quot;{B} {A} swap {C}&quot;, and {B} and {A} can be written to the output stream, leaving only &quot;swap {C}&quot; on the &quot;function stack&quot;. &nbsp;When the constant program {D} gets pushed, {D} and {C} are output to the output stream, leaving the function stack empty.</div><div id="ygrps-yiv-86186350"><br></div><div id="ygrps-yiv-86186350">To better understand evaluation in Om: given the program &quot;swap {A} swap {B} {C}&quot;, the interpreter will:</div><div id="ygrps-yiv-86186350">- Push &quot;swap&quot; onto the function stack</div><div id="ygrps-yiv-86186350">- Push &quot;{A}&quot; onto the function stack</div><div id="ygrps-yiv-86186350">- Push &quot;swap&quot; onto the function stack</div><div id="ygrps-yiv-86186350">- Push &quot;{B}&quot; onto 
 the function stack</div><div id="ygrps-yiv-86186350">- Push &quot;{C}&quot; onto the function stack</div><div id="ygrps-yiv-86186350">- Rewrite the program as &quot;swap {A} {C} {B}&quot;</div><div id="ygrps-yiv-86186350">- Rewrite the program as &quot;{C} {A} {B}&quot;</div><div id="ygrps-yiv-86186350">- Output constant functions &quot;{C}&quot;, &quot;{A}&quot;, and &quot;{B}&quot;.</div><div id="ygrps-yiv-86186350">- The function stack is now empty.</div><div id="ygrps-yiv-86186350"><br></div><div id="ygrps-yiv-86186350">&gt; Functions can be optimized to only read into memory the data that is required; stack-based postfix languages have no knowledge of the function to apply until the data is already in memory, on the stack.</div><div id="ygrps-yiv-86186350"><br></div><div id="ygrps-y
 iv-86186350">An example is the &quot;drop&quot; function. In Om, when the &quot;drop&quot; function is pushed onto the stack, any constant function that follows (i.e. an operand) will cause the &quot;drop&quot; function and the constant function to be rewritten as an empty program.</div><div id="ygrps-yiv-86186350"><br></div><div id="ygrps-yiv-86186350">In a postfix language, a function like this would first require the operand to be pushed onto a data stack in memory, and then &quot;drop&quot; would come along and remove it.</div><div id="ygrps-yiv-86186350"><br></div><div id="ygrps-yiv-86186350">Om, however, never needs to read the full the operand into memory. &nbsp;The &quot;drop&quot; function can read the operand directly from the input stream and discard the characters as they com
 e in.</div><div id="ygrps-yiv-86186350"><br></div><div id="ygrps-yiv-86186350">&gt; Incoming data, such as events, become simple to handle at a language level: a program might evaluate to a function that acts as a state machine that processes any additional data appended to the program and transitions to a new state, ready to process new data.</div><div id="ygrps-yiv-86186350"><br></div><div id="ygrps-yiv-86186350">As any Om computation is a &quot;function stack&quot; (which represents a composed function), one could imagine that events could arrive as program elements on the input stream, thereby changing the state of the program to a new state, ready to receive new events. Therefore, a simple event-handling mechanism is central to the language.</div><div id="ygrps-yiv-86186350"><br></d
 iv><div id="ygrps-yiv-86186350"><span style="word-spacing:normal;">&gt; An integrated development environment can provide hints to the user about the data that is expected by a function.</span><br></div><div id="ygrps-yiv-86186350"><br></div><div id="ygrps-yiv-86186350">The idea here is that the operator is typed first in a prefix language (followed by its operands). &nbsp;As soon as the operator is entered, the operands it expects could be indicated to the user by an IDE. &nbsp;(<span style="word-spacing:normal;">I suppose this breaks down for people who typically enter data in a right-to-left direction in their text editor...)</span></div></div><div id="ygrps-yiv-86186350"><br></div><div id="ygrps-yiv-86186350">Thanks again for the interest! &nbsp;Hope that helps. &nbsp;Please let me k
 now if any of that still doesn&#39;t make sense.</div><div id="ygrps-yiv-86186350"><span style="word-spacing:normal;"><br></span></div><div id="ygrps-yiv-86186350"><span style="word-spacing:normal;">Jason</span><br></div></div></p>

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                <div style="padding-left:6px;font-size:13px;color:gray;">Yahoo Groups</div>
                <a rel="nofollow" name="sub_url" target="_blank" href="http://yahoogroups.tumblr.com/" style="color:#0000FF;display:block;margin-left:5px;text-decoration:none;"><div style="font-size:15px;">Control your view and sort preferences per Yahoo Group</div></a>
                <div style="max-width:530px;padding:2px 5px;">You can now control your default Sort & View Preferences for Conversations, Photos and Files in the membership settings page.</div>
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  <div style="color: #747575; float: right;"> &bull; <a href="https://info.yahoo.com/privacy/us/yahoo/groups/details.html" style="text-decoration: none;">Privacy</a> &bull; <a href="mailto:[email protected]?subject=Unsubscribe" style="text-decoration: none;">Unsubscribe</a> &bull; <a href="https://info.yahoo.com/legal/us/yahoo/utos/terms/" style="text-decoration: none;">Terms of Use</a> </div>
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  <div style="clear:both; color: #FFF; font-size:1px;">.</div>
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<!-- end group email -->


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