ECE291 Computer Engineering II Lockwood, Fall 1998

Homework Assignment 5

Due: Thursday April 22, 1999, 5pm
76 Points

The answers to this homework assignment are to be submitted via the World Wide Web (WWW). You may use any Mosaic browsers (such as Netscape or Internet Explorer) to submit this assignment. No special software is needed. Your answers will be graded automatically. Your score will be immediately posted to the on-line gradebook. You will have the opportunity to resubmit the homework and improve your score. This page can accessed directly as
http://www.ece.uiuc.edu/~ece291/hw/hw5.html

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.

    Number = 1.0

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

    Number = -33.375

  4. Sign = (1 pt)
  5. Exponent = (1 pt)
  6. Mantissa = (1 pt)

    Number = -113.6

  7. Sign = (1 pt)
  8. Exponent = (1 pt)
  9. Mantissa = (1 pt)

    Number = 1/3

  10. Sign = (1 pt)
  11. Exponent = (1 pt)
  12. Mantissa = (1 pt)

    Number = PI: 3.14159265359

  13. Sign = (1 pt)
  14. Exponent = (1 pt)
  15. Mantissa = (1 pt)

    Calculations with the Floating Point Unit

    Determine the how the floating point variables will change for the code listed below 

    
A          Real4 5.5
B          Real4 9.9
C          Real4 4.4

FOUR       Real4 4.0

BSquared   Real4 ?

FourAC     Real4 ?
B24AC      Real4 ?
SqrtB24AC  Real4 ?
Num1       Real4 ?
Num2       Real4 ?
Denom      Real4 ?

X1         Real4 ?
X2         Real4 ?

  ...        

	FINIT              ; Initialize the FPU
                           ; Always do this once when program begins!
	FLD  	B
	FCHS

	FLD 	B
	FLD 	B
	FMUL
	FST	BSquared

	FLD	FOUR
	FLD	A
	FLD	C
	FMUL
	FMUL
	FST	FourAC

	FSUB
	FST	B24AC

	FSQRT
	FST	SqrtB24AC

	FADD
	FST	Num1
	FLD	A	
	FLD	A
	FADD
	FST 	Denom

	FDIV
	FSTP	X1

	XOR     BYTE PTR [B+3] , 80h   ; FCHS w/o a FPU!
	FLD  	B
	FLD	SqrtB24AC
	FSUB
	FST	Num2

	FLD	Denom
	FDIV
	FSTP	X2

  16. BSquared = (8 hex digits) (2 pts)

  17. FourAC = (8 hex digits) (2 pts)

  18. B24AC = (8 hex digits) (2 pts)

  19. SqrtB24AC = (8 hex digits) (2 pts)

  20. Num1 = (8 hex digits) (2 pts)

  21. Num2 = (8 hex digits) (2 pts)

  22. Denom = (8 hex digits) (2 pts)

  23. X1 = (8 hex digits) (2 pts)

  24. X2 = (8 hex digits) (2 pts)

    DMA and Digital Audio Sampling

    • 4 seconds of audio has been sampled with the following properties.
      • 8-bit resolution
      • 11.025 KHz Sample rate
      • Mono
    • Audio has been stored in a variable called AudioBuf
      • SEG AudioBuf = 3D00h
      • OFFSET AudioBuf = B291h
    • The Plug and Play SB-compatible card has allocated the following system resources:
      • DMA channel 1
      • Base address 220h
      • IRQ 5

  25. Determine how many bytes of memory are requried to represent this digitized sound.
    (decimal) (2 pts)

  26. Determine the value that must be written to the DMA's page register to begin playing this sound.
    (hex) (2 pts)

  27. Determine the value that must be written to the DMA's address register to begin playing this sound.
    (hex) (2 pts)

  28. What I/O port address of the DMA controller contains this DMA address register?
    (hex) (2 pts)

  29. What I/O port address of the sound card can be read to determine if the sound card is ready to accept a command?
    (hex) (2 pts)

    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 000E0C0E00020901h


 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
 Rst10 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

     MOVQ mm3, AngleVector
     PACKSSWB mm3,mm2
     MOVQ Rst10,mm3

    Enter all values as 16-digit hex numbers

  30. R0 = (3 pts)
  31. R1 = (3 pts)
  32. R2 = (3 pts)
  33. R3 = (3 pts)
  34. R4 = (3 pts)
  35. R5 = (3 pts)
  36. R6 = (3 pts)
  37. R7 = (3 pts)
  38. R8 = (3 pts)
  39. R9 = (3 pts)
  40. R10 = (3 pts)

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