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style="display: flex;"><li style="flex:1">² <strong>7KHꢉORQJꢉLQVWUXFWLRQꢉZRUGꢉKDVꢉURRPꢉIRUꢉPDQ\ꢉRSHUDWLRQV</strong> </li><li style="flex:1">² <strong>5HJLVWHUꢉILOHꢊꢉQHHGꢉꢀ[ꢉUHDGVꢉDQGꢉꢅ[ꢉZULWHVꢂF\FOH</strong> </li></ul><p>² <strong>5HQDPHꢉORJLFꢊꢉPXVWꢉEHꢉDEOHꢉWRꢉUHQDPHꢉVDPHꢉUHJLVWHUꢉPXOWLSOHꢉWLPHVꢉ</strong> <br>² <strong>%\ꢉGHILQLWLRQꢌꢉDOOꢉWKHꢉRSHUDWLRQVꢉWKHꢉFRPSLOHUꢉSXWVꢉLQꢉWKHꢉORQJꢉ</strong> </p><p><strong>LQꢉRQHꢉF\FOHRꢉꢉ)RUꢉLQVWDQFHꢌꢉFRQVLGHUꢉꢑꢏZD\ꢉLVVXHꢊ</strong> <br><strong>LQVWUXFWLRQꢉZRUGꢉDUHꢉLQGHSHQGHQWꢉ !ꢉH[HFXWHꢉLQꢉSDUDOOHO</strong> </p><p><strong>add r1, r2, r3 sub r4, r1, r2 lw r1, 4(r4) add r5, r1, r2 add p11, p4, p7 sub p22, p11, p4 lw p23, 4(p22) add p12, p23, p4 </strong></p><p>² <strong>(ꢄJꢄꢌꢉꢀꢉLQWHJHUꢉRSHUDWLRQVꢌꢉꢀꢉ)3ꢉRSVꢌꢉꢀꢉ0HPRU\ꢉUHIVꢌꢉꢅꢉEUDQFK</strong> </p><p>⇒</p><p>ª <strong>ꢅꢒꢉWRꢉꢀꢑꢉELWVꢉSHUꢉILHOGꢉ !ꢉꢇꢕꢅꢒꢉRUꢉꢅꢅꢀꢉELWVꢉWRꢉꢇꢕꢀꢑꢉRUꢉꢅꢒꢃꢉ ELWVꢉZLGH</strong> <br>² <strong>1HHGꢉFRPSLOLQJꢉWHFKQLTXHꢉWKDWꢉVFKHGXOHVꢉDFURVVꢉVHYHUDOꢉEUDQFKHV</strong> <br><strong>,PDJLQHꢉGRLQJꢉWKLVꢉWUDQVIRUPDWLRQꢉLQꢉDꢉVLQJOHꢉF\FOHR </strong></p><p>² <strong>5HVXOWꢉEXVHVꢊꢉ1HHGꢉWRꢉFRPSOHWHꢉPXOWLSOHꢉLQVWUXFWLRQVꢂF\FOH</strong> <br>ª <strong>6RꢌꢉQHHGꢉPXOWLSOHꢉEXVHVꢉZLWKꢉDVVRFLDWHGꢉPDWFKLQJꢉORJLFꢉDWꢉHYHU\ꢉ UHVHUYDWLRQꢉVWDWLRQꢄ</strong> <br>ª <strong>2UꢌꢉQHHGꢉPXOWLSOHꢉIRUZDUGLQJꢉSDWKV</strong> </p><p><strong>&6ꢀꢁꢀꢂ.XELDWRZLF]</strong> <br><strong>/HF</strong> <strong>ꢃꢄꢅꢅ</strong> <br><strong>&6ꢀꢁꢀꢂ.XELDWRZLF]</strong> <br><strong>/HF</strong> <strong>ꢃꢄꢅꢀ</strong> </p><ul style="display: flex;"><li style="flex:1"><strong>ꢆꢂꢀꢇꢂꢈꢈ</strong> </li><li style="flex:1"><strong>ꢆꢂꢀꢇꢂꢈꢈ</strong> </li></ul><p></p><p><strong>5HFDOOꢊꢉ8QUROOHGꢉ/RRSꢉWKDWꢉ</strong> <br><strong>0LQLPL]HVꢉ6WDOOVꢉIRUꢉ6FDODU</strong> <br><strong>/RRSꢉ8QUROOLQJꢉLQꢉ9/,:</strong> </p><p></p><ul style="display: flex;"><li style="flex:1"><strong>Memory </strong></li><li style="flex:1"><strong>Memory </strong></li><li style="flex:1"><strong>FP </strong></li><li style="flex:1"><strong>FP </strong></li></ul><p><strong>op. 2 </strong><br><strong>Int. op/ branch </strong><br><strong>Clock reference 1 reference 2 operation 1 </strong></p><p><strong>1 Loop: LD </strong><br><strong>F0,0(R1) </strong></p><p>LD to ADDD: 1 Cycle ADDD to SD: 2 Cycles </p><p><strong>234</strong></p><p><strong>LD LD LD </strong><br><strong>F6,-8(R1) F10,-16(R1) F14,-24(R1) </strong></p><p></p><ul style="display: flex;"><li style="flex:1"><strong>LD F0,0(R1) LD F6,-8(R1) </strong></li><li style="flex:1"><strong>1</strong></li></ul><p><strong>234567</strong><br><strong>LD F10,-16(R1) LD F14,-24(R1) </strong></p><ul style="display: flex;"><li style="flex:1"><strong>LD F18,-32(R1) LD F22,-40(R1) ADDD F4,F0,F2 </strong></li><li style="flex:1"><strong>ADDD F8,F6,F2 </strong></li></ul><p></p><p><strong>5678</strong></p><p><strong>ADDD F4,F0,F2 ADDD F8,F6,F2 ADDD F12,F10,F2 ADDD F16,F14,F2 </strong></p><p></p><ul style="display: flex;"><li style="flex:1"><strong>LD F26,-48(R1) </strong></li><li style="flex:1"><strong>ADDD F12,F10,F2 ADDD F16,F14,F2 </strong></li></ul><p><strong>ADDD F20,F18,F2 ADDD F24,F22,F2 </strong></p><ul style="display: flex;"><li style="flex:1"><strong>SD 0(R1),F4 </strong></li><li style="flex:1"><strong>SD -8(R1),F8 ADDD F28,F26,F2 </strong></li></ul><p><strong>SD -16(R1),F12 SD -24(R1),F16 SD -32(R1),F20 SD -40(R1),F24 SD -0(R1),F28 </strong></p><p><strong>9</strong></p><p><strong>SD SD SD </strong><br><strong>0(R1),F4 -8(R1),F8 -16(R1),F12 </strong></p><p><strong>SUBI R1,R1,#48 BNEZ R1,LOOP </strong><br><strong>89</strong></p><p><strong>10 11 12 13 14 </strong></p><p><strong>SUBI R1,R1,#32 BNEZ R1,LOOP SD </strong></p><p><strong>Unrolled 7 times to avoid delays 7 results in 9 clocks, or 1.3 clocks per iteration (1.8X) Average: 2.5 ops per clock, 50% efficiency </strong></p><p><strong>8(R1),F16 </strong></p><p><strong>; 8-32 = -24 </strong></p><p><strong>14 clock cycles, or 3.5 per iteration </strong><br><strong>Note: Need more registers in VLIW (15 vs. 6 in SS) </strong></p><p><strong>ꢆꢂꢀꢇꢂꢈꢈ</strong> <br><strong>&6ꢀꢁꢀꢂ.XELDWRZLF]</strong> <br><strong>/HF</strong> <strong>ꢃꢄꢅꢐ</strong> <br><strong>&6ꢀꢁꢀꢂ.XELDWRZLF]</strong> <br><strong>/HF</strong> <strong>ꢃꢄꢅꢑ</strong> <br><strong>ꢆꢂꢀꢇꢂꢈꢈ</strong> </p><p><strong>5HFDOOꢊꢉ6RIWZDUHꢉ3LSHOLQLQJꢉ([DPSOH</strong> <br><strong>5HFDOOꢊꢉ6RIWZDUHꢉ3LSHOLQLQJ</strong> </p><p> <strong>2EVHUYDWLRQꢊꢉLIꢉLWHUDWLRQVꢉIURPꢉORRSVꢉDUHꢉLQGHSHQGHQWꢌꢉ</strong> <br><strong>WKHQꢉFDQꢉJHWꢉPRUHꢉ,/3ꢉE\ꢉWDNLQJꢉLQVWUXFWLRQVꢉIURPꢉ GLIIHUHQW</strong> <strong>LWHUDWLRQV</strong> </p><p> <strong>6RIWZDUHꢉSLSHOLQLQJꢊꢉUHRUJDQL]HVꢉORRSVꢉVRꢉWKDWꢉHDFKꢉ</strong> <br><strong>LWHUDWLRQꢉLVꢉPDGHꢉIURPꢉLQVWUXFWLRQVꢉFKRVHQꢉIURPꢉ GLIIHUHQWꢉLWHUDWLRQVꢉRIꢉWKHꢉRULJLQDOꢉORRSꢉꢍ</strong> <strong>ꢉ7RPDVXOR</strong> <strong>LQꢉ</strong> </p><p><strong>%HIRUHꢊꢉ8QUROOHGꢉꢐꢉWLPHV</strong> </p><p><strong>After: Software Pipelined </strong></p><p><strong>ꢅꢉ</strong> <strong>LD F0,0(R1) </strong><br><strong>1 SD </strong><br><strong>0(R1),F4 ; Stores M[i] </strong><br><strong>ꢀ</strong> <strong>ADDD F4,F0,F2 </strong></p><p><strong>2 ADDD F4,F0,F2 ; Adds to M[i-1] </strong></p><p><strong>ꢐ</strong> <strong>SD </strong><br><strong>0(R1),F4 </strong></p><p><strong>F6,-8(R1) </strong></p><p></p><ul style="display: flex;"><li style="flex:1"><strong>3 LD </strong></li><li style="flex:1"><strong>F0,-16(R1);Loads M[i-2] </strong></li></ul><p></p><p><strong>ꢑ</strong> <strong>LD </strong></p><p><strong>4 SUBI R1,R1,#8 5 BNEZ R1,LOOP </strong></p><p><strong>ꢁ</strong> <strong>ADDD F8,F6,F2 ꢒ</strong> <strong>SD </strong></p><p><strong>ꢇ</strong> <strong>LD </strong></p><p><strong>-8(R1),F8 </strong></p><p><strong>F10,-16(R1) </strong></p><p><strong>SW Pipeline </strong></p><p><strong>ꢃ</strong> <strong>ADDD F12,F10,F2 </strong></p><p><strong>6:ꢎ</strong> </p><p>Iteration </p><p><strong>ꢆ</strong> <strong>SD </strong><br><strong>-16(R1),F12 </strong></p><p>0<br>Iteration </p><p>1</p><p><strong>ꢅꢈ</strong> <strong>SUBI R1,R1,#24 </strong></p><p>Iteration </p><ul style="display: flex;"><li style="flex:1">2</li><li style="flex:1">Iteration </li></ul><p>3</p><p><strong>Time </strong></p><p><strong>ꢅꢅ</strong> <strong>BNEZ R1,LOOP </strong></p><p>Iteration <br>4</p><p><strong>Loop Unrolled </strong></p><p>• <strong>Symbolic Loop Unrolling </strong></p><p>– <strong>Maximize result-use distance </strong>– <strong>Less code space than unrolling </strong>– <strong>Fill & drain pipe only once per loop </strong></p><p>Softwarepipelined iteration </p><p><strong>Time </strong></p><p><strong>vs. once per each unrolled iteration in loop unrolling </strong></p><p><strong>&6ꢀꢁꢀꢂ.XELDWRZLF]</strong> <br><strong>/HF</strong> <strong>ꢃꢄꢅꢁ</strong> <br><strong>&6ꢀꢁꢀꢂ.XELDWRZLF]</strong> <br><strong>/HF</strong> <strong>ꢃꢄꢅꢒ</strong> </p><ul style="display: flex;"><li style="flex:1"><strong>ꢆꢂꢀꢇꢂꢈꢈ</strong> </li><li style="flex:1"><strong>ꢆꢂꢀꢇꢂꢈꢈ</strong> </li></ul><p></p><p><strong>6RIWZDUHꢉ3LSHOLQLQJꢉZLWK</strong> <br><strong>/RRSꢉ8QUROOLQJꢉLQꢉ9/,:</strong> <br><strong>7UDFHꢉ6FKHGXOLQJ</strong> </p><p> <strong>3DUDOOHOLVPꢉDFURVVꢉ,)ꢉEUDQFKHVꢉYVꢄꢉ/223ꢉEUDQFKHV</strong> <strong>7ZRꢉVWHSVꢊ</strong> </p><p><strong>Memory reference 1 </strong></p><ul style="display: flex;"><li style="flex:1"><strong>Memory </strong></li><li style="flex:1"><strong>FP </strong></li><li style="flex:1"><strong>FP </strong></li><li style="flex:1"><strong>Int. op/ </strong></li><li style="flex:1"><strong>Clock </strong></li></ul><p></p><ul style="display: flex;"><li style="flex:1"><strong>reference 2 </strong></li><li style="flex:1"><strong>operation 1 </strong></li><li style="flex:1"><strong>op. 2 branch </strong></li></ul><p></p><p>² <strong>7UDFHꢁ6HOHFWLRQ </strong></p><p><strong>LD F0,-48(R1) LD F6,-56(R1) LD F10,-40(R1) </strong><br><strong>ST 0(R1),F4 ST -8(R1),F8 ST 8(R1),F12 </strong><br><strong>ADDD F4,F0,F2 ADDD F8,F6,F2 ADDD F12,F10,F2 </strong><br><strong>1</strong></p>
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