• Alberto Donizetti's avatar
    cmd/compile: combine x*n + y*n into (x+y)*n · a0453a18
    Alberto Donizetti authored
    There are a few cases where this can be useful. Apart from the obvious
    (and silly)
    
      100*n + 200*n
    
    where we generate one IMUL instead of two, consider:
    
      15*n + 31*n
    
    Currently, the compiler strength-reduces both imuls, generating:
    
        0x0000 00000	MOVQ	"".n+8(SP), AX
    	0x0005 00005 	MOVQ	AX, CX
    	0x0008 00008 	SHLQ	$4, AX
    	0x000c 00012 	SUBQ	CX, AX
    	0x000f 00015 	MOVQ	CX, DX
    	0x0012 00018 	SHLQ	$5, CX
    	0x0016 00022 	SUBQ	DX, CX
    	0x0019 00025 	ADDQ	CX, AX
    	0x001c 00028 	MOVQ	AX, "".~r1+16(SP)
    	0x0021 00033 	RET
    
    But combining the imuls is both faster and shorter:
    
    	0x0000 00000	MOVQ	"".n+8(SP), AX
    	0x0005 00005 	IMULQ	$46, AX
    	0x0009 00009	MOVQ	AX, "".~r1+16(SP)
    	0x000e 00014 	RET
    
    even without strength-reduction.
    
    Moreover, consider:
    
      5*n + 7*(n+1) + 11*(n+2)
    
    We already have a rule that rewrites 7(n+1) into 7n+7, so the
    generated code (without imuls merging) looks like this:
    
    	0x0000 00000 	MOVQ	"".n+8(SP), AX
    	0x0005 00005 	LEAQ	(AX)(AX*4), CX
    	0x0009 00009 	MOVQ	AX, DX
    	0x000c 00012 	NEGQ	AX
    	0x000f 00015 	LEAQ	(AX)(DX*8), AX
    	0x0013 00019 	ADDQ	CX, AX
    	0x0016 00022 	LEAQ	(DX)(CX*2), CX
    	0x001a 00026 	LEAQ	29(AX)(CX*1), AX
    	0x001f 00031 	MOVQ	AX, "".~r1+16(SP)
    
    But with imuls merging, the 5n, 7n and 11n factors get merged, and the
    generated code looks like this:
    
    	0x0000 00000 	MOVQ	"".n+8(SP), AX
    	0x0005 00005 	IMULQ	$23, AX
    	0x0009 00009 	ADDQ	$29, AX
    	0x000d 00013 	MOVQ	AX, "".~r1+16(SP)
    	0x0012 00018 	RET
    
    Which is both faster and shorter; that's also the exact same code that
    clang and the intel c compiler generate for the above expression.
    
    Change-Id: Ib4d5503f05d2f2efe31a1be14e2fe6cac33730a9
    Reviewed-on: https://go-review.googlesource.com/55143Reviewed-by: 's avatarKeith Randall <khr@golang.org>
    a0453a18
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