CombineConversions is an optimization pass for the SSA IntermediateLanguage, invoked from SSASimplify.
Description
This pass looks for and simplifies nested calls to (signed) extension/truncation.
Implementation
Details and Notes
It processes each block in dfs order (visiting definitions before uses):
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If the statement is not a PrimApp with Word_extdToWord, skip it.
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After processing a conversion, it tags the Var for subsequent use.
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When inspecting a conversion, check if the Var operand is also the result of a conversion. If it is, try to combine the two operations. Repeatedly simplify until hitting either a non-conversion Var or a case where the conversion cannot be simplified.
The optimization rules are very simple:
x1 = ... x2 = Word_extdToWord (W1, W2, {signed=s1}) x1 x3 = Word_extdToWord (W2, W3, {signed=s2}) x2
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If W1 = W2, then there is no conversions before x_1.
This is guaranteed because W2 = W3 will always trigger optimization.
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Case W1 <= W3 <= W2:
x3 = Word_extdToWord (W1, W3, {signed=s1}) x1
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Case W1 < W2 < W3 AND ((NOT s1) OR s2):
x3 = Word_extdToWord (W1, W3, {signed=s1}) x1
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Case W1 = W2 < W3:
unoptimized, because there are no conversions past W1 and x2 = x1
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Case W3 <= W2 <= W1 OR W3 <= W1 <= W2:
x_3 = Word_extdToWord (W1, W3, {signed=_}) x1
because W3 <= W1 && W3 <= W2, just clip x1
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Case W2 < W1 <= W3 OR W2 < W3 <= W1:
unoptimized, because W2 < W1 && W2 < W3, has truncation effect
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Case W1 < W2 < W3 AND (s1 AND (NOT s2)):
unoptimized, because each conversion affects the result separately