root/arch/alpha/lib/divide.S

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   1 /*
   2  * arch/alpha/lib/divide.S
   3  *
   4  * (C) 1995 Linus Torvalds
   5  *
   6  * Alpha division..
   7  */
   8 
   9 /*
  10  * The alpha chip doesn't provide hardware division, so we have to do it
  11  * by hand.  The compiler expects the functions
  12  *
  13  *      __divqu: 64-bit unsigned long divide
  14  *      __remqu: 64-bit unsigned long reminder
  15  *      __divqs/__remqs: signed 64-bit
  16  *      __divlu/__remlu: unsigned 32-bit
  17  *      __divls/__remls: signed 32-bit
  18  *
  19  * These are not normal C functions: instead of the normal
  20  * calling sequence, these expect their arguments in registers
  21  * $24 and $25, and return the result in $27. Register $28 may
  22  * be clobbered (assembly temporary), anything else must be saved. 
  23  *
  24  * In short: painful.
  25  *
  26  * This is a rather simple bit-at-a-time algorithm: it's very good
  27  * at dividing random 64-bit numbers, but the more usual case where
  28  * the divisor is small is handled better by the DEC algorithm
  29  * using lookup tables. This uses much less memory, though, and is
  30  * nicer on the cache.. Besides, I don't know the copyright status
  31  * of the DEC code.
  32  */
  33 
  34 /*
  35  * My temporaries:
  36  *      $0 - current bit
  37  *      $1 - shifted divisor
  38  *      $2 - modulus/quotient
  39  *
  40  *      $23 - return address
  41  *      $24 - dividend
  42  *      $25 - divisor
  43  *
  44  *      $27 - quotient/modulus
  45  *      $28 - compare status
  46  */
  47 
  48 /*
  49  * Select function type and registers
  50  */
  51 #define mask    $0
  52 #define divisor $1
  53 #define compare $28
  54 
  55 #ifdef DIV
  56 #define func(x) __div##x
  57 #define modulus $2
  58 #define quotient $27
  59 #else
  60 #define func(x) __rem##x
  61 #define modulus $27
  62 #define quotient $2
  63 #endif
  64 
  65 /*
  66  * For 32-bit operations, we need to extend to 64-bit
  67  */
  68 #ifdef INTSIZE
  69 #define function func(lu)
  70 #define LONGIFY(x) zapnot x,15,x
  71 #else
  72 #define function func(qu)
  73 #define LONGIFY(x)
  74 #endif
  75 
  76 .set noat
  77 .globl  function
  78 .ent    function
  79 function:
  80         subq    $30,32,$30
  81         stq     $0, 0($30)
  82         stq     $1, 8($30)
  83         stq     $2,16($30)
  84 
  85         bis     $25,$25,divisor
  86         bis     $24,$24,modulus
  87         bis     $31,$31,quotient
  88         LONGIFY(divisor)
  89         LONGIFY(modulus)
  90         beq     divisor, 9f                     /* div by zero */
  91         bis     $31,1,mask
  92 
  93         /* shift divisor left */
  94 1:      cmpult  divisor,modulus,compare
  95         blt     divisor, 3f
  96         addq    divisor,divisor,divisor
  97         addq    mask,mask,mask
  98         bne     compare,1b
  99 
 100         /* ok, start to go right again.. */
 101 2:      srl     divisor,1,divisor
 102         beq     mask,9f
 103         srl     mask,1,mask
 104 3:      cmpule  divisor,modulus,compare
 105         beq     compare,2b
 106         addq    quotient,mask,quotient
 107         beq     mask,9f
 108         subq    modulus,divisor,modulus
 109         br      2b
 110 
 111 9:      ldq     $0, 0($30)
 112         ldq     $1, 8($30)
 113         ldq     $2, 16($30)
 114         addq    $30,32,$30
 115         ret     $31,($23),1
 116         .end    function

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