CS306 Homework 5

CS306 Processing Systems and Structures Lockwood, Spring 2002

Homework Assignment 5

Due: Wednesday, April 25, 2002, Midnight

76 Points

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ID Important: Use the same ID as selected in HW0
Name (First Last)

    Representing Floating Point Numbers

    Suppose that we wish to represent floating point numbers using a 1-bit sign, a 4-bit exponent with a bias of 7, and an 8-bit mantissa with an implict 1. Determine the floating point representation for each of the following numbers.
    • Round mantissas to the nearest digit if necessary
    • Use IEEE-754 notation to represent special numbers.
    • Enter all values in binary (1's and 0's)

    Number = 1.0

  1. Sign = (2 pt)
  2. Exponent = (2 pt)
  3. Mantissa = (3 pt)

    Number = -33.375

  4. Sign = (2 pt)
  5. Exponent = (2 pt)
  6. Mantissa = (3 pt)

    Number = -113.6

  7. Sign = (2 pt)
  8. Exponent = (2 pt)
  9. Mantissa = (3 pt)

    Number = 1/3

  10. Sign = (2 pt)
  11. Exponent = (2 pt)
  12. Mantissa = (3 pt)

    Number = PI: 3.14159265359

  13. Sign = (2 pt)
  14. Exponent = (3 pt)
  15. Mantissa = (3 pt)

    Multimedia Extensions (MMX)

    MultiMedia eXtensions (MMX) enable parallelism by allowing a Single Instruction to operate on Multiple Data (SIMD). Using the documentation available in the class notes, on the web, and/or the printed documents in our lab, analyze the following MMX-enabled application. 

    
Audio8Buf     dq 0102030405060708h ; Digitized stereo audio samples
Right8Mask    dq 00FF00FF00FF00FFh

Audio16Buffer dq 7A01C4E2F013A004h ; 16-bit audio samples
Audio16Volume dq 0005000400030002h

Xposition     dq 0A27527F9DC8DFF0h ; X-position of 8 different tanks
Yposition     dq 6468507C6099306Fh ; Y-position of 8 different tanks

AngleVector   dq 873C100A8545727Bh ; Angles of 8 different players
PowerVector   dq 0563501560326435h ; Current Power level of 8 players
MaxPower      dq 6450631524486035h ; Maximum allowed power for all 8 players.

BestClass     dq AABBCCDD00030006h


 Rst0  dq 0     ; The results you need to determine !
 Rst1  dq 0
 Rst2  dq 0
 Rst3  dq 0
 Rst4  dq 0
 Rst5  dq 0
 Rst6  dq 0
 Rst7  dq 0
 Rst8  dq 0
 Rst9  dq 0


; --- DSP Operations ---

     MOVQ     mm0, [Audio8Buf]
     MOVQ     mm1, [Right8Mask]
     PAND     mm0, mm1
     MOVQ     [Rst0], mm0

     MOVQ     mm2, [Audio16Buffer]
     PSLLW    [mm2], 3
     MOVQ     [Rst1], mm2

; --- Arithmetic Operations ---

     MOVQ     mm1, [Xposition]
     MOVQ     mm2, [Yposition]
     MOVQ     mm3, mm2
     MOVQ     mm4, mm2
     PADDB    mm2, mm1
     MOVQ     [Rst2], mm2

     PADDUSB  mm3, mm1
     MOVQ     [Rst3], mm3

     PADDSB   mm4, mm1
     MOVQ     [Rst4], mm4

; --- SIMD Logical Operations ---

     PSRAW    mm1, 2
     MOVQ     [Rst5], mm1

; --- Multimedia Operations ---

     MOVQ     mm0, [Audio16Buffer]
     PMULLW   mm0, [Audio16Volume]
     MOVQ     [Rst6], mm0

; -- Real-time algorithmic calculations --

     MOVQ     mm7, [PowerVector]
     PCMPGTB  mm7, [MaxPower]
     MOVQ     [Rst7], mm7

; --- Pack/Unpack Operations ---

     MOVQ mm1, [BestClass]
     MOVQ mm2, [BestClass]
     MOVQ mm4, mm1
     PXOR mm3, mm3
     PUNPCKHBW mm1,mm3
     MOVQ [Rst8],mm1

     PUNPCKLBW mm3,mm2
     MOVQ [Rst9],mm3

    Enter all values as 16-digit hex numbers

  16. R0 = (4 pts)
  17. R1 = (4 pts)
  18. R2 = (4 pts)
  19. R3 = (4 pts)
  20. R4 = (4 pts)
  21. R5 = (4 pts)
  22. R6 = (4 pts)
  23. R7 = (4 pts)
  24. R8 = (4 pts)
  25. R9 = (4 pts)

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