<p>Finally, we instantiate an LLVM <code>PassManager</code> and run the <code>PrintModulePass</code> on our module. LLVM uses an explicit pass infrastructure to manage optimizations and various other things. A <code>PassManager</code>, as should be obvious from its name, manages passes: it is responsible for scheduling them, invoking them, and insuring the proper disposal after we’re done with them. For this example, we’re just using a trivial pass that prints out our module in textual form.</p>
-<p>Now onto the interesting part: creating a populating a module. Here’s the first chunk of our <code>makeLLVMModule()</code>:</p>
+<p>Now onto the interesting part: creating and populating a module. Here’s the first chunk of our <code>makeLLVMModule()</code>:</p>
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<p>The above is a graphical representation of a program in LLVM IR. It places each basic block on a node of a graph, and uses directed edges to indicate flow control. These blocks will be serialized when written to a text or bitcode file, but it is often useful conceptually to think of them as a graph. Again, if you are unsure about the code in the diagram, you should skim through the <a href="../LangRef.html">LLVM Language Reference Manual</a> and convince yourself that it is, in fact, the GCD algorithm.</p>
-<p>The first part of our code is the same as from first tutorial. The same basic setup is required: creating a module, verifying it, and running the <code>PrintModulePass</code> on it. Even the first segment of <code>makeLLVMModule()</code> looks the same, because <code>gcd</code> happens the have the same prototype as our <code>mul_add</code> function.</p>
+<p>The first part of our code is the same as from first tutorial. The same basic setup is required: creating a module, verifying it, and running the <code>PrintModulePass</code> on it. Even the first segment of <code>makeLLVMModule()</code> looks the same, because <code>gcd</code> happens to have the same prototype as our <code>mul_add</code> function.</p>
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-<p>And that's it! You can compile your code and execute your code in the same way as before, by executing:</p>
+<p>And that's it! You can compile and execute your code in the same way as before, by doing:</p>
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