%mul1 = fmul fast float %mul, 0x4002666660000000
ret float %mul1
; CHECK: @fold
-; CHECK: fmul float %a, 0x4006147AE0000000
+; CHECK: fmul fast float %a, 0x4006147AE0000000
}
; Same testing-case as the one used in fold() except that the operators have
define float @fold2(float %a) {
; CHECK: @fold2
-; CHECK: fmul float %a, 0x4006147AE0000000
+; CHECK: fmul fast float %a, 0x4006147AE0000000
%mul = fmul float %a, 0x3FF3333340000000
%mul1 = fmul fast float %mul, 0x4002666660000000
ret float %mul1
%add1 = fadd fast float %add, 5.000000e+00
ret float %add1
; CHECK: @fold5
-; CHECK: fadd float %f1, 9.000000e+00
+; CHECK: fadd fast float %f1, 9.000000e+00
}
; (X + X) + X => 3.0 * X
}
; Let C3 = C1 + C2. (f1 + C1) + (f2 + C2) => (f1 + f2) + C3 instead of
-; "(f1 + C3) + f2" or "(f2 + C3) + f1". Placing constant-addend at the
+; "(f1 + C3) + f2" or "(f2 + C3) + f1". Placing constant-addend at the
; top of resulting simplified expression tree may potentially reveal some
; optimization opportunities in the super-expression trees.
-;
+;
define float @fold10(float %f1, float %f2) {
%t1 = fadd fast float 2.000000e+00, %f1
%t2 = fsub fast float %f2, 3.000000e+00
%t3 = fadd fast float %t1, %t2
ret float %t3
; CHECK: @fold10
-; CHECK: %t3 = fadd float %t2, -1.000000e+00
+; CHECK: %t3 = fadd fast float %t2, -1.000000e+00
; CHECK: ret float %t3
}
; CHECK: ret
}
-; rdar://12753946: x * cond ? 1.0 : 0.0 => cond ? x : 0.0
-define double @select1(i32 %cond, double %x, double %y) {
- %tobool = icmp ne i32 %cond, 0
- %cond1 = select i1 %tobool, double 1.000000e+00, double 0.000000e+00
- %mul = fmul nnan nsz double %cond1, %x
- %add = fadd double %mul, %y
- ret double %add
-; CHECK: @select1
-; CHECK: select i1 %tobool, double %x, double 0.000000e+00
-}
-
-define double @select2(i32 %cond, double %x, double %y) {
- %tobool = icmp ne i32 %cond, 0
- %cond1 = select i1 %tobool, double 0.000000e+00, double 1.000000e+00
- %mul = fmul nnan nsz double %cond1, %x
- %add = fadd double %mul, %y
- ret double %add
-; CHECK: @select2
-; CHECK: select i1 %tobool, double 0.000000e+00, double %x
-}
-
-define double @select3(i32 %cond, double %x, double %y) {
- %tobool = icmp ne i32 %cond, 0
- %cond1 = select i1 %tobool, double 0.000000e+00, double 2.000000e+00
- %mul = fmul nnan nsz double %cond1, %x
- %add = fadd double %mul, %y
- ret double %add
-; CHECK: @select3
-; CHECK: fmul nnan nsz double %cond1, %x
+; =========================================================================
+;
+; Testing-cases about fmul begin
+;
+; =========================================================================
+
+; ((X*C1) + C2) * C3 => (X * (C1*C3)) + (C2*C3) (i.e. distribution)
+define float @fmul_distribute1(float %f1) {
+ %t1 = fmul float %f1, 6.0e+3
+ %t2 = fadd float %t1, 2.0e+3
+ %t3 = fmul fast float %t2, 5.0e+3
+ ret float %t3
+; CHECK: @fmul_distribute1
+; CHECK: %1 = fmul fast float %f1, 3.000000e+07
+; CHECK: %t3 = fadd fast float %1, 1.000000e+07
+}
+
+; (X/C1 + C2) * C3 => X/(C1/C3) + C2*C3
+define double @fmul_distribute2(double %f1, double %f2) {
+ %t1 = fdiv double %f1, 3.0e+0
+ %t2 = fadd double %t1, 5.0e+1
+ ; 0x10000000000000 = DBL_MIN
+ %t3 = fmul fast double %t2, 0x10000000000000
+ ret double %t3
+
+; CHECK: @fmul_distribute2
+; CHECK: %1 = fdiv fast double %f1, 0x7FE8000000000000
+; CHECK: fadd fast double %1, 0x69000000000000
+}
+
+; 5.0e-1 * DBL_MIN yields denormal, so "(f1*3.0 + 5.0e-1) * DBL_MIN" cannot
+; be simplified into f1 * (3.0*DBL_MIN) + (5.0e-1*DBL_MIN)
+define double @fmul_distribute3(double %f1) {
+ %t1 = fdiv double %f1, 3.0e+0
+ %t2 = fadd double %t1, 5.0e-1
+ %t3 = fmul fast double %t2, 0x10000000000000
+ ret double %t3
+
+; CHECK: @fmul_distribute3
+; CHECK: fmul fast double %t2, 0x10000000000000
+}
+
+; ((X*C1) + C2) * C3 => (X * (C1*C3)) + (C2*C3) (i.e. distribution)
+define float @fmul_distribute4(float %f1) {
+ %t1 = fmul float %f1, 6.0e+3
+ %t2 = fsub float 2.0e+3, %t1
+ %t3 = fmul fast float %t2, 5.0e+3
+ ret float %t3
+; CHECK: @fmul_distribute4
+; CHECK: %1 = fmul fast float %f1, 3.000000e+07
+; CHECK: %t3 = fsub fast float 1.000000e+07, %1
+}
+
+; C1/X * C2 => (C1*C2) / X
+define float @fmul2(float %f1) {
+ %t1 = fdiv float 2.0e+3, %f1
+ %t3 = fmul fast float %t1, 6.0e+3
+ ret float %t3
+; CHECK: @fmul2
+; CHECK: fdiv fast float 1.200000e+07, %f1
+}
+
+; X/C1 * C2 => X * (C2/C1) (if C2/C1 is normal Fp)
+define float @fmul3(float %f1, float %f2) {
+ %t1 = fdiv float %f1, 2.0e+3
+ %t3 = fmul fast float %t1, 6.0e+3
+ ret float %t3
+; CHECK: @fmul3
+; CHECK: fmul fast float %f1, 3.000000e+00
+}
+
+; Rule "X/C1 * C2 => X * (C2/C1) is not applicable if C2/C1 is either a special
+; value of a denormal. The 0x3810000000000000 here take value FLT_MIN
+;
+define float @fmul4(float %f1, float %f2) {
+ %t1 = fdiv float %f1, 2.0e+3
+ %t3 = fmul fast float %t1, 0x3810000000000000
+ ret float %t3
+; CHECK: @fmul4
+; CHECK: fmul fast float %t1, 0x3810000000000000
+}
+
+; X / C1 * C2 => X / (C2/C1) if C1/C2 is either a special value of a denormal,
+; and C2/C1 is a normal value.
+;
+define float @fmul5(float %f1, float %f2) {
+ %t1 = fdiv float %f1, 3.0e+0
+ %t3 = fmul fast float %t1, 0x3810000000000000
+ ret float %t3
+; CHECK: @fmul5
+; CHECK: fdiv fast float %f1, 0x47E8000000000000
+}
+
+; (X*Y) * X => (X*X) * Y
+define float @fmul6(float %f1, float %f2) {
+ %mul = fmul float %f1, %f2
+ %mul1 = fmul fast float %mul, %f1
+ ret float %mul1
+; CHECK: @fmul6
+; CHECK: fmul fast float %f1, %f1
+}
+
+; "(X*Y) * X => (X*X) * Y" is disabled if "X*Y" has multiple uses
+define float @fmul7(float %f1, float %f2) {
+ %mul = fmul float %f1, %f2
+ %mul1 = fmul fast float %mul, %f1
+ %add = fadd float %mul1, %mul
+ ret float %add
+; CHECK: @fmul7
+; CHECK: fmul fast float %mul, %f1
+}
+
+; =========================================================================
+;
+; Testing-cases about negation
+;
+; =========================================================================
+define float @fneg1(float %f1, float %f2) {
+ %sub = fsub float -0.000000e+00, %f1
+ %sub1 = fsub nsz float 0.000000e+00, %f2
+ %mul = fmul float %sub, %sub1
+ ret float %mul
+; CHECK: @fneg1
+; CHECK: fmul float %f1, %f2
+}
+
+; =========================================================================
+;
+; Testing-cases about div
+;
+; =========================================================================
+
+; X/C1 / C2 => X * (1/(C2*C1))
+define float @fdiv1(float %x) {
+ %div = fdiv float %x, 0x3FF3333340000000
+ %div1 = fdiv fast float %div, 0x4002666660000000
+ ret float %div1
+; 0x3FF3333340000000 = 1.2f
+; 0x4002666660000000 = 2.3f
+; 0x3FD7303B60000000 = 0.36231884057971014492
+; CHECK: @fdiv1
+; CHECK: fmul fast float %x, 0x3FD7303B60000000
+}
+
+; X*C1 / C2 => X * (C1/C2)
+define float @fdiv2(float %x) {
+ %mul = fmul float %x, 0x3FF3333340000000
+ %div1 = fdiv fast float %mul, 0x4002666660000000
+ ret float %div1
+
+; 0x3FF3333340000000 = 1.2f
+; 0x4002666660000000 = 2.3f
+; 0x3FE0B21660000000 = 0.52173918485641479492
+; CHECK: @fdiv2
+; CHECK: fmul fast float %x, 0x3FE0B21660000000
+}
+
+; "X/C1 / C2 => X * (1/(C2*C1))" is disabled (for now) is C2/C1 is a denormal
+;
+define float @fdiv3(float %x) {
+ %div = fdiv float %x, 0x47EFFFFFE0000000
+ %div1 = fdiv fast float %div, 0x4002666660000000
+ ret float %div1
+; CHECK: @fdiv3
+; CHECK: fdiv float %x, 0x47EFFFFFE0000000
+}
+
+; "X*C1 / C2 => X * (C1/C2)" is disabled if C1/C2 is a denormal
+define float @fdiv4(float %x) {
+ %mul = fmul float %x, 0x47EFFFFFE0000000
+ %div = fdiv float %mul, 0x3FC99999A0000000
+ ret float %div
+; CHECK: @fdiv4
+; CHECK: fmul float %x, 0x47EFFFFFE0000000
+}
+
+; (X/Y)/Z = > X/(Y*Z)
+define float @fdiv5(float %f1, float %f2, float %f3) {
+ %t1 = fdiv float %f1, %f2
+ %t2 = fdiv fast float %t1, %f3
+ ret float %t2
+; CHECK: @fdiv5
+; CHECK: fmul float %f2, %f3
+}
+
+; Z/(X/Y) = > (Z*Y)/X
+define float @fdiv6(float %f1, float %f2, float %f3) {
+ %t1 = fdiv float %f1, %f2
+ %t2 = fdiv fast float %f3, %t1
+ ret float %t2
+; CHECK: @fdiv6
+; CHECK: fmul float %f3, %f2
+}
+
+; C1/(X*C2) => (C1/C2) / X
+define float @fdiv7(float %x) {
+ %t1 = fmul float %x, 3.0e0
+ %t2 = fdiv fast float 15.0e0, %t1
+ ret float %t2
+; CHECK: @fdiv7
+; CHECK: fdiv fast float 5.000000e+00, %x
+}
+
+; C1/(X/C2) => (C1*C2) / X
+define float @fdiv8(float %x) {
+ %t1 = fdiv float %x, 3.0e0
+ %t2 = fdiv fast float 15.0e0, %t1
+ ret float %t2
+; CHECK: @fdiv8
+; CHECK: fdiv fast float 4.500000e+01, %x
+}
+
+; C1/(C2/X) => (C1/C2) * X
+define float @fdiv9(float %x) {
+ %t1 = fdiv float 3.0e0, %x
+ %t2 = fdiv fast float 15.0e0, %t1
+ ret float %t2
+; CHECK: @fdiv9
+; CHECK: fmul fast float %x, 5.000000e+00
+}
+
+; =========================================================================
+;
+; Testing-cases about factorization
+;
+; =========================================================================
+; x*z + y*z => (x+y) * z
+define float @fact_mul1(float %x, float %y, float %z) {
+ %t1 = fmul fast float %x, %z
+ %t2 = fmul fast float %y, %z
+ %t3 = fadd fast float %t1, %t2
+ ret float %t3
+; CHECK: @fact_mul1
+; CHECK: fmul fast float %1, %z
+}
+
+; z*x + y*z => (x+y) * z
+define float @fact_mul2(float %x, float %y, float %z) {
+ %t1 = fmul fast float %z, %x
+ %t2 = fmul fast float %y, %z
+ %t3 = fsub fast float %t1, %t2
+ ret float %t3
+; CHECK: @fact_mul2
+; CHECK: fmul fast float %1, %z
+}
+
+; z*x - z*y => (x-y) * z
+define float @fact_mul3(float %x, float %y, float %z) {
+ %t2 = fmul fast float %z, %y
+ %t1 = fmul fast float %z, %x
+ %t3 = fsub fast float %t1, %t2
+ ret float %t3
+; CHECK: @fact_mul3
+; CHECK: fmul fast float %1, %z
+}
+
+; x*z - z*y => (x-y) * z
+define float @fact_mul4(float %x, float %y, float %z) {
+ %t1 = fmul fast float %x, %z
+ %t2 = fmul fast float %z, %y
+ %t3 = fsub fast float %t1, %t2
+ ret float %t3
+; CHECK: @fact_mul4
+; CHECK: fmul fast float %1, %z
+}
+
+; x/y + x/z, no xform
+define float @fact_div1(float %x, float %y, float %z) {
+ %t1 = fdiv fast float %x, %y
+ %t2 = fdiv fast float %x, %z
+ %t3 = fadd fast float %t1, %t2
+ ret float %t3
+; CHECK: fact_div1
+; CHECK: fadd fast float %t1, %t2
+}
+
+; x/y + z/x; no xform
+define float @fact_div2(float %x, float %y, float %z) {
+ %t1 = fdiv fast float %x, %y
+ %t2 = fdiv fast float %z, %x
+ %t3 = fadd fast float %t1, %t2
+ ret float %t3
+; CHECK: fact_div2
+; CHECK: fadd fast float %t1, %t2
+}
+
+; y/x + z/x => (y+z)/x
+define float @fact_div3(float %x, float %y, float %z) {
+ %t1 = fdiv fast float %y, %x
+ %t2 = fdiv fast float %z, %x
+ %t3 = fadd fast float %t1, %t2
+ ret float %t3
+; CHECK: fact_div3
+; CHECK: fdiv fast float %1, %x
+}
+
+; y/x - z/x => (y-z)/x
+define float @fact_div4(float %x, float %y, float %z) {
+ %t1 = fdiv fast float %y, %x
+ %t2 = fdiv fast float %z, %x
+ %t3 = fsub fast float %t1, %t2
+ ret float %t3
+; CHECK: fact_div4
+; CHECK: fdiv fast float %1, %x
+}
+
+; y/x - z/x => (y-z)/x is disabled if y-z is denormal.
+define float @fact_div5(float %x) {
+ %t1 = fdiv fast float 0x3810000000000000, %x
+ %t2 = fdiv fast float 0x3800000000000000, %x
+ %t3 = fadd fast float %t1, %t2
+ ret float %t3
+; CHECK: fact_div5
+; CHECK: fdiv fast float 0x3818000000000000, %x
+}
+
+; y/x - z/x => (y-z)/x is disabled if y-z is denormal.
+define float @fact_div6(float %x) {
+ %t1 = fdiv fast float 0x3810000000000000, %x
+ %t2 = fdiv fast float 0x3800000000000000, %x
+ %t3 = fsub fast float %t1, %t2
+ ret float %t3
+; CHECK: fact_div6
+; CHECK: %t3 = fsub fast float %t1, %t2
}
projects / oota-llvm.git / blobdiff