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GEBP: improves pipelining in the 1pX4 path with FMA.
Prior to this change, a product with a LHS having 8 rows was faster with AVX-only than with AVX+FMA. With AVX+FMA I measured a speed up of about x1.25 in such cases.
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@ -1313,15 +1313,18 @@ struct lhs_process_one_packet
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EIGEN_STRONG_INLINE void peeled_kc_onestep(Index K, const LhsScalar* blA, const RhsScalar* blB, GEBPTraits traits, LhsPacket *A0, RhsPacketx4 *rhs_panel, RhsPacket *T0, AccPacket *C0, AccPacket *C1, AccPacket *C2, AccPacket *C3)
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{
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EIGEN_ASM_COMMENT("begin step of gebp micro kernel 1X4");
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EIGEN_ASM_COMMENT("Note: these asm comments work around bug 935!");
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traits.loadLhs(&blA[(0+1*K)*LhsProgress], *A0);
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traits.loadRhs(&blB[(0+4*K)*RhsProgress], *rhs_panel);
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traits.madd(*A0, *rhs_panel, *C0, *T0, fix<0>);
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traits.madd(*A0, *rhs_panel, *C1, *T0, fix<1>);
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traits.madd(*A0, *rhs_panel, *C2, *T0, fix<2>);
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traits.madd(*A0, *rhs_panel, *C3, *T0, fix<3>);
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EIGEN_ASM_COMMENT("end step of gebp micro kernel 1X4");
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EIGEN_ASM_COMMENT("begin step of gebp micro kernel 1X4");
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EIGEN_ASM_COMMENT("Note: these asm comments work around bug 935!");
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traits.loadLhs(&blA[(0+1*K)*LhsProgress], *A0);
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traits.loadRhs(&blB[(0+4*K)*RhsProgress], *rhs_panel);
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traits.madd(*A0, *rhs_panel, *C0, *T0, fix<0>);
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traits.madd(*A0, *rhs_panel, *C1, *T0, fix<1>);
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traits.madd(*A0, *rhs_panel, *C2, *T0, fix<2>);
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traits.madd(*A0, *rhs_panel, *C3, *T0, fix<3>);
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#if EIGEN_GNUC_AT_LEAST(6,0) && defined(EIGEN_VECTORIZE_SSE)
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__asm__ ("" : "+x,m" (*A0));
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#endif
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EIGEN_ASM_COMMENT("end step of gebp micro kernel 1X4");
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}
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EIGEN_STRONG_INLINE void operator()(
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@ -1350,6 +1353,16 @@ struct lhs_process_one_packet
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traits.initAcc(C1);
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traits.initAcc(C2);
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traits.initAcc(C3);
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// To improve instruction pipelining, let's double the accumulation registers:
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// even k will accumulate in C*, while odd k will accumulate in D*.
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// This trick is crutial to get good performance with FMA, otherwise it is
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// actually faster to perform separated MUL+ADD because of a naturally
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// better instruction-level parallelism.
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AccPacket D0, D1, D2, D3;
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traits.initAcc(D0);
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traits.initAcc(D1);
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traits.initAcc(D2);
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traits.initAcc(D3);
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LinearMapper r0 = res.getLinearMapper(i, j2 + 0);
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LinearMapper r1 = res.getLinearMapper(i, j2 + 1);
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@ -1364,7 +1377,7 @@ struct lhs_process_one_packet
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// performs "inner" products
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const RhsScalar* blB = &blockB[j2*strideB+offsetB*nr];
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prefetch(&blB[0]);
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LhsPacket A0;
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LhsPacket A0, A1;
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for(Index k=0; k<peeled_kc; k+=pk)
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{
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@ -1374,20 +1387,24 @@ struct lhs_process_one_packet
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internal::prefetch(blB+(48+0));
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peeled_kc_onestep(0, blA, blB, traits, &A0, &rhs_panel, &T0, &C0, &C1, &C2, &C3);
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peeled_kc_onestep(1, blA, blB, traits, &A0, &rhs_panel, &T0, &C0, &C1, &C2, &C3);
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peeled_kc_onestep(1, blA, blB, traits, &A1, &rhs_panel, &T0, &D0, &D1, &D2, &D3);
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peeled_kc_onestep(2, blA, blB, traits, &A0, &rhs_panel, &T0, &C0, &C1, &C2, &C3);
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peeled_kc_onestep(3, blA, blB, traits, &A0, &rhs_panel, &T0, &C0, &C1, &C2, &C3);
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peeled_kc_onestep(3, blA, blB, traits, &A1, &rhs_panel, &T0, &D0, &D1, &D2, &D3);
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internal::prefetch(blB+(48+16));
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peeled_kc_onestep(4, blA, blB, traits, &A0, &rhs_panel, &T0, &C0, &C1, &C2, &C3);
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peeled_kc_onestep(5, blA, blB, traits, &A0, &rhs_panel, &T0, &C0, &C1, &C2, &C3);
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peeled_kc_onestep(5, blA, blB, traits, &A1, &rhs_panel, &T0, &D0, &D1, &D2, &D3);
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peeled_kc_onestep(6, blA, blB, traits, &A0, &rhs_panel, &T0, &C0, &C1, &C2, &C3);
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peeled_kc_onestep(7, blA, blB, traits, &A0, &rhs_panel, &T0, &C0, &C1, &C2, &C3);
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peeled_kc_onestep(7, blA, blB, traits, &A1, &rhs_panel, &T0, &D0, &D1, &D2, &D3);
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blB += pk*4*RhsProgress;
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blA += pk*LhsProgress;
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EIGEN_ASM_COMMENT("end gebp micro kernel 1/half/quarterX4");
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}
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C0 = padd(C0,D0);
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C1 = padd(C1,D1);
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C2 = padd(C2,D2);
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C3 = padd(C3,D3);
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// process remaining peeled loop
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for(Index k=peeled_kc; k<depth; k++)
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