Annotation of OpenXM_contrib/gmp/SPEED, Revision 1.1
1.1 ! maekawa 1: ==============================================================================
! 2: Cycle counts and throughput for low-level routines in GNU MP as currently
! 3: implemented.
! 4:
! 5: A range means that the timing is data-dependent. The slower number of such
! 6: an interval is usually the best performance estimate.
! 7:
! 8: The throughput value, measured in Gb/s (gigabits per second) has a meaning
! 9: only for comparison between CPUs.
! 10:
! 11: A star before a line means that all values on that line are estimates. A
! 12: star before a number means that that number is an estimate. A `p' before a
! 13: number means that the code is not complete, but the timing is believed to be
! 14: accurate.
! 15:
! 16: | mpn_lshift mpn_add_n mpn_mul_1 mpn_addmul_1
! 17: | mpn_rshift mpn_sub_n mpn_submul_1
! 18: ------------+-----------------------------------------------------------------
! 19: DEC/Alpha |
! 20: EV4 | 4.75 cycles/64b 7.75 cycles/64b 42 cycles/64b 42 cycles/64b
! 21: 200MHz | 2.7 Gb/s 1.65 Gb/s 20 Gb/s 20 Gb/s
! 22: EV5 old code| 4.0 cycles/64b 5.5 cycles/64b 18 cycles/64b 18 cycles/64b
! 23: 267MHz | 4.27 Gb/s 3.10 Gb/s 61 Gb/s 61 Gb/s
! 24: 417MHz | 6.67 Gb/s 4.85 Gb/s 95 Gb/s 95 Gb/s
! 25: EV5 tuned | 3.25 cycles/64b 4.75 cycles/64b
! 26: 267MHz | 5.25 Gb/s 3.59 Gb/s as above
! 27: 417MHz | 8.21 Gb/s 5.61 Gb/s
! 28: ------------+-----------------------------------------------------------------
! 29: Sun/SPARC |
! 30: SPARC v7 | 14.0 cycles/32b 8.5 cycles/32b 37-54 cycl/32b 37-54 cycl/32b
! 31: SuperSPARC | 3 cycles/32b 2.5 cycles/32b 8.2 cycles/32b 10.8 cycles/32b
! 32: 50MHz | 0.53 Gb/s 0.64 Gb/s 6.2 Gb/s 4.7 Gb/s
! 33: **SuperSPARC| tuned addmul and submul will take: 9.25 cycles/32b
! 34: MicroSPARC2 | ? 6.65 cycles/32b 30 cycles/32b 31.5 cycles/32b
! 35: 110MHz | ? 0.53 Gb/s 3.75 Gb/s 3.58 Gb/s
! 36: SuperSPARC2 | ? ? ? ?
! 37: Ultra/32 (4)| 2.5 cycles/32b 6.5 cycles/32b 13-27 cyc/32b 16-30 cyc/32b
! 38: 182MHz | 2.33 Gb/s 0.896 Gb/s 14.3-6.9 Gb/s
! 39: Ultra/64 (5)| 2.5 cycles/64b 10 cycles/64b 40-70 cyc/64b 46-76 cyc/64b
! 40: 182MHz | 4.66 Gb/s 1.16 Gb/s 18.6-11 Gb/s
! 41: HalSPARC64 | ? ? ? ?
! 42: ------------+-----------------------------------------------------------------
! 43: SGI/MIPS |
! 44: R3000 | 6 cycles/32b 9.25 cycles/32b 16 cycles/32b 16 cycles/32b
! 45: 40MHz | 0.21 Gb/s 0.14 Gb/s 2.56 Gb/s 2.56 Gb/s
! 46: R4400/32 | 8.6 cycles/32b 10 cycles/32b 16-18 19-21
! 47: 200MHz | 0.74 Gb/s 0.64 Gb/s 13-11 Gb/s 11-9.6 Gb/s
! 48: *R4400/64 | 8.6 cycles/64b 10 cycles/64b 22 cycles/64b 22 cycles/64b
! 49: *200MHz | 1.48 Gb/s 1.28 Gb/s 37 Gb/s 37 Gb/s
! 50: R4600/32 | 6 cycles/64b 9.25 cycles/32b 15 cycles/32b 19 cycles/32b
! 51: 134MHz | 0.71 Gb/s 0.46 Gb/s 9.1 Gb/s 7.2 Gb/s
! 52: R4600/64 | 6 cycles/64b 9.25 cycles/64b ? ?
! 53: 134MHz | 1.4 Gb/s 0.93 Gb/s ? ?
! 54: R8000/64 | 3 cycles/64b 4.6 cycles/64b 8 cycles/64b 8 cycles/64b
! 55: 75MHz | 1.6 Gb/s 1.0 Gb/s 38 Gb/s 38 Gb/s
! 56: *R10000/64 | 2 cycles/64b 3 cycles/64b 11 cycles/64b 11 cycles/64b
! 57: *200MHz | 6.4 Gb/s 4.27 Gb/s 74 Gb/s 74 Gb/s
! 58: *250MHz | 8.0 Gb/s 5.33 Gb/s 93 Gb/s 93 Gb/s
! 59: ------------+-----------------------------------------------------------------
! 60: Motorola |
! 61: MC68020 | ? 24 cycles/32b 62 cycles/32b 70 cycles/32b
! 62: MC68040 | ? 6 cycles/32b 24 cycles/32b 25 cycles/32b
! 63: MC88100 | >5 cycles/32b 4.6 cycles/32b 16/21 cyc/32b p 18/23 cyc/32b
! 64: MC88110 wt | ? 3.75 cycles/32b 6 cycles/32b 8.5 cyc/32b
! 65: *MC88110 wb | ? 2.25 cycles/32b 4 cycles/32b 5 cycles/32b
! 66: ------------+-----------------------------------------------------------------
! 67: HP/PA-RISC |
! 68: PA7000 | 4 cycles/32b 5 cycles/32b 9 cycles/32b 11 cycles/32b
! 69: 67MHz | 0.53 Gb/s 0.43 Gb/s 7.6 Gb/s 6.2 Gb/s
! 70: PA7100 | 3.25 cycles/32b 4.25 cycles/32b 7 cycles/32b 8 cycles/32b
! 71: 99MHz | 0.97 Gb/s 0.75 Gb/s 14 Gb/s 12.8 Gb/s
! 72: PA7100LC | ? ? ? ?
! 73: PA7200 (3) | 3 cycles/32b 4 cycles/32b 7 cycles/32b 6.5 cycles/32b
! 74: 100MHz | 1.07 Gb/s 0.80 14 Gb/s 15.8 Gb/s
! 75: PA7300LC | ? ? ? ?
! 76: *PA8000 | 3 cycles/64b 4 cycles/64b 7 cycles/64b 6.5 cycles/64b
! 77: 180MHz | 3.84 Gb/s 2.88 Gb/s 105 Gb/s 113 Gb/s
! 78: ------------+-----------------------------------------------------------------
! 79: Intel/x86 |
! 80: 386DX | 20 cycles/32b 17 cycles/32b 41-70 cycl/32b 50-79 cycl/32b
! 81: 16.7MHz | 0.027 Gb/s 0.031 Gb/s 0.42-0.24 Gb/s 0.34-0.22 Gb/s
! 82: 486DX | ? ? ? ?
! 83: 486DX4 | 9.5 cycles/32b 9.25 cycles/32b 17-23 cycl/32b 20-26 cycl/32b
! 84: 100MHz | 0.34 Gb/s 0.35 Gb/s 6.0-4.5 Gb/s 5.1-3.9 Gb/s
! 85: Pentium | 2/6 cycles/32b 2.5 cycles/32b 13 cycles/32b 14 cycles/32b
! 86: 167MHz | 2.7/0.89 Gb/s 2.1 Gb/s 13.1 Gb/s 12.2 Gb/s
! 87: Pentium Pro | 2.5 cycles/32b 3.5 cycles/32b 6 cycles/32b 9 cycles/32b
! 88: 200MHz | 2.6 Gb/s 1.8 Gb/s 34 Gb/s 23 Gb/s
! 89: ------------+-----------------------------------------------------------------
! 90: IBM/POWER |
! 91: RIOS 1 | 3 cycles/32b 4 cycles/32b 11.5-12.5 c/32b 14.5/15.5 c/32b
! 92: RIOS 2 | 2 cycles/32b 2 cycles/32b 7 cycles/32b 8.5 cycles/32b
! 93: ------------+-----------------------------------------------------------------
! 94: PowerPC |
! 95: PPC601 (1) | 3 cycles/32b 6 cycles/32b 11-16 cycl/32b 14-19 cycl/32b
! 96: PPC601 (2) | 5 cycles/32b 6 cycles/32b 13-22 cycl/32b 16-25 cycl/32b
! 97: 67MHz (2) | 0.43 Gb/s 0.36 Gb/s 5.3-3.0 Gb/s 4.3-2.7 Gb/s
! 98: PPC603 | ? ? ? ?
! 99: *PPC604 | 2 3 2 3
! 100: *167MHz | 57 Gb/s
! 101: PPC620 | ? ? ? ?
! 102: ------------+-----------------------------------------------------------------
! 103: Tege |
! 104: Model 1 | 2 cycles/64b 3 cycles/64b 2 cycles/64b 3 cycles/64b
! 105: 250MHz | 8 Gb/s 5.3 Gb/s 500 Gb/s 340 Gb/s
! 106: 500MHz | 16 Gb/s 11 Gb/s 1000 Gb/s 680 Gb/s
! 107: ____________|_________________________________________________________________
! 108: (1) Using POWER and PowerPC instructions
! 109: (2) Using only PowerPC instructions
! 110: (3) Actual timing for shift/add/sub depends on code alignment. PA7000 code
! 111: is smaller and therefore often faster on this CPU.
! 112: (4) Multiplication routines modified for bogus UltraSPARC early-out
! 113: optimization. Smaller operand is put in rs1, not rs2 as it should
! 114: according to the SPARC architecture manuals.
! 115: (5) Preliminary timings, since there is no stable 64-bit environment.
! 116: (6) Use mulu.d at least for mpn_lshift. With mak/extu/or, we can only get
! 117: to 2 cycles/32b.
! 118:
! 119: =============================================================================
! 120: Estimated theoretical asymptotic cycle counts for low-level routines:
! 121:
! 122: | mpn_lshift mpn_add_n mpn_mul_1 mpn_addmul_1
! 123: | mpn_rshift mpn_sub_n mpn_submul_1
! 124: ------------+-----------------------------------------------------------------
! 125: DEC/Alpha |
! 126: EV4 | 3 cycles/64b 5 cycles/64b 42 cycles/64b 42 cycles/64b
! 127: EV5 | 3 cycles/64b 4 cycles/64b 18 cycles/64b 18 cycles/64b
! 128: ------------+-----------------------------------------------------------------
! 129: Sun/SPARC |
! 130: SuperSPARC | 2.5 cycles/32b 2 cycles/32b 8 cycles/32b 9 cycles/32b
! 131: ------------+-----------------------------------------------------------------
! 132: SGI/MIPS |
! 133: R4400/32 | 5 cycles/64b 8 cycles/64b 16 cycles/64b 16 cycles/64b
! 134: R4400/64 | 5 cycles/64b 8 cycles/64b 22 cycles/64b 22 cycles/64b
! 135: R4600 |
! 136: ------------+-----------------------------------------------------------------
! 137: HP/PA-RISC |
! 138: PA7100 | 3 cycles/32b 4 cycles/32b 6.5 cycles/32b 7.5 cycles/32b
! 139: PA7100LC |
! 140: ------------+-----------------------------------------------------------------
! 141: Motorola |
! 142: MC88110 | 1.5 cyc/32b (6) 1.5 cycle/32b 1.5 cycles/32b 2.25 cycles/32b
! 143: ------------+-----------------------------------------------------------------
! 144: Intel/x86 |
! 145: 486DX4 |
! 146: Pentium P5x | 5 cycles/32b 2 cycles/32b 11.5 cycles/32b 13 cycles/32b
! 147: Pentium Pro | 2 cycles/32b 3 cycles/32b 4 cycles/32b 6 cycles/32b
! 148: ------------+-----------------------------------------------------------------
! 149: IBM/POWER |
! 150: RIOS 1 | 3 cycles/32b 4 cycles/32b
! 151: RIOS 2 | 1.5 cycles/32b 2 cycles/32b 4.5 cycles/32b 5.5 cycles/32b
! 152: ------------+-----------------------------------------------------------------
! 153: PowerPC |
! 154: PPC601 (1) | 3 cycles/32b ?4 cycles/32b
! 155: PPC601 (2) | 4 cycles/32b ?4 cycles/32b
! 156: ____________|_________________________________________________________________
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