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kernel/linux-imx6_3.14.28/arch/blackfin/lib/udivsi3.S 8.31 KB
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  /*
   * Copyright 2004-2009 Analog Devices Inc.
   *
   * Licensed under the Clear BSD license or the GPL-2 (or later)
   */
  
  #include <linux/linkage.h>
  
  #define CARRY AC0
  
  #ifdef CONFIG_ARITHMETIC_OPS_L1
  .section .l1.text
  #else
  .text
  #endif
  
  
  ENTRY(___udivsi3)
  
    CC = R0 < R1 (IU);    /* If X < Y, always return 0 */
    IF CC JUMP .Lreturn_ident;
  
    R2 = R1 << 16;
    CC = R2 <= R0 (IU);
    IF CC JUMP .Lidents;
  
    R2 = R0 >> 31;       /* if X is a 31-bit number */
    R3 = R1 >> 15;       /* and Y is a 15-bit number */
    R2 = R2 | R3;        /* then it's okay to use the DIVQ builtins (fallthrough to fast)*/
    CC = R2;
    IF CC JUMP .Ly_16bit;
  
  /* METHOD 1: FAST DIVQ
     We know we have a 31-bit dividend, and 15-bit divisor so we can use the
     simple divq approach (first setting AQ to 0 - implying unsigned division,
     then 16 DIVQ's).
  */
  
    AQ = CC;             /* Clear AQ (CC==0) */
  
  /* ISR States: When dividing two integers (32.0/16.0) using divide primitives,
     we need to shift the dividend one bit to the left.
     We have already checked that we have a 31-bit number so we are safe to do
     that.
  */
    R0 <<= 1;
    DIVQ(R0, R1); // 1
    DIVQ(R0, R1); // 2
    DIVQ(R0, R1); // 3
    DIVQ(R0, R1); // 4
    DIVQ(R0, R1); // 5
    DIVQ(R0, R1); // 6
    DIVQ(R0, R1); // 7
    DIVQ(R0, R1); // 8
    DIVQ(R0, R1); // 9
    DIVQ(R0, R1); // 10
    DIVQ(R0, R1); // 11
    DIVQ(R0, R1); // 12
    DIVQ(R0, R1); // 13
    DIVQ(R0, R1); // 14
    DIVQ(R0, R1); // 15
    DIVQ(R0, R1); // 16
    R0 = R0.L (Z);
    RTS;
  
  .Ly_16bit:
    /* We know that the upper 17 bits of Y might have bits set,
    ** or that the sign bit of X might have a bit. If Y is a
    ** 16-bit number, but not bigger, then we can use the builtins
    ** with a post-divide correction.
    ** R3 currently holds Y>>15, which means R3's LSB is the
    ** bit we're interested in.
    */
  
    /* According to the ISR, to use the Divide primitives for
    ** unsigned integer divide, the useable range is 31 bits
    */
    CC = ! BITTST(R0, 31);
  
    /* IF condition is true we can scale our inputs and use the divide primitives,
    ** with some post-adjustment
    */
    R3 += -1;		/* if so, Y is 0x00008nnn */
    CC &= AZ;
  
    /* If condition is true we can scale our inputs and use the divide primitives,
    ** with some post-adjustment
    */
    R3 = R1 >> 1;		/* Pre-scaled divisor for primitive case */
    R2 = R0 >> 16;
  
    R2 = R3 - R2;		/* shifted divisor < upper 16 bits of dividend */
    CC &= CARRY;
    IF CC JUMP .Lshift_and_correct;
  
    /* Fall through to the identities */
  
  /* METHOD 2: identities and manual calculation
     We are not able to use the divide primites, but may still catch some special
     cases.
  */
  .Lidents:
    /* Test for common identities. Value to be returned is placed in R2. */
    CC = R0 == 0;        /* 0/Y => 0 */
    IF CC JUMP .Lreturn_r0;
    CC = R0 == R1;       /* X==Y => 1 */
    IF CC JUMP .Lreturn_ident;
    CC = R1 == 1;        /* X/1 => X */
    IF CC JUMP .Lreturn_ident;
  
    R2.L = ONES R1;
    R2 = R2.L (Z);
    CC = R2 == 1;
    IF CC JUMP .Lpower_of_two;
  
    [--SP] = (R7:5);                /* Push registers R5-R7 */
  
    /* Idents don't match. Go for the full operation. */
  
  
    R6 = 2;                         /* assume we'll shift two */
    R3 = 1;
  
    P2 = R1;
                                    /* If either R0 or R1 have sign set, */
                                    /* divide them by two, and note it's */
                                    /* been done. */
    CC = R1 < 0;
    R2 = R1 >> 1;
    IF CC R1 = R2;                  /* Possibly-shifted R1 */
    IF !CC R6 = R3;                 /* R1 doesn't, so at most 1 shifted */
  
    P0 = 0;
    R3 = -R1;
    [--SP] = R3;
    R2 = R0 >> 1;
    R2 = R0 >> 1;
    CC = R0 < 0;
    IF CC P0 = R6;                  /* Number of values divided */
    IF !CC R2 = R0;                 /* Shifted R0 */
  
                                    /* P0 is 0, 1 (NR/=2) or 2 (NR/=2, DR/=2) */
  
                                    /* r2 holds Copy dividend  */
    R3 = 0;                         /* Clear partial remainder */
    R7 = 0;                         /* Initialise quotient bit */
  
    P1 = 32;                        /* Set loop counter */
    LSETUP(.Lulst, .Lulend) LC0 = P1; /* Set loop counter */
  .Lulst:  R6 = R2 >> 31;             /* R6 = sign bit of R2, for carry */
         R2 = R2 << 1;              /* Shift 64 bit dividend up by 1 bit */
         R3 = R3 << 1 || R5 = [SP];
         R3 = R3 | R6;              /* Include any carry */
         CC = R7 < 0;               /* Check quotient(AQ) */
                                    /* If AQ==0, we'll sub divisor */
         IF CC R5 = R1;             /* and if AQ==1, we'll add it. */
         R3 = R3 + R5;              /* Add/sub divsor to partial remainder */
         R7 = R3 ^ R1;              /* Generate next quotient bit */
  
         R5 = R7 >> 31;             /* Get AQ */
         BITTGL(R5, 0);             /* Invert it, to get what we'll shift */
  .Lulend: R2 = R2 + R5;              /* and "shift" it in. */
  
    CC = P0 == 0;                   /* Check how many inputs we shifted */
    IF CC JUMP .Lno_mult;            /* if none... */
    R6 = R2 << 1;
    CC = P0 == 1;
    IF CC R2 = R6;                  /* if 1, Q = Q*2 */
    IF !CC R1 = P2;                 /* if 2, restore stored divisor */
  
    R3 = R2;                        /* Copy of R2 */
    R3 *= R1;                       /* Q * divisor */
    R5 = R0 - R3;                   /* Z = (dividend - Q * divisor) */
    CC = R1 <= R5 (IU);             /* Check if divisor <= Z? */
    R6 = CC;                        /* if yes, R6 = 1 */
    R2 = R2 + R6;                   /* if yes, add one to quotient(Q) */
  .Lno_mult:
    SP += 4;
    (R7:5) = [SP++];                /* Pop registers R5-R7 */
    R0 = R2;                        /* Store quotient */
    RTS;
  
  .Lreturn_ident:
    CC = R0 < R1 (IU);    /* If X < Y, always return 0 */
    R2 = 0;
    IF CC JUMP .Ltrue_return_ident;
    R2 = -1 (X);         /* X/0 => 0xFFFFFFFF */
    CC = R1 == 0;
    IF CC JUMP .Ltrue_return_ident;
    R2 = -R2;            /* R2 now 1 */
    CC = R0 == R1;       /* X==Y => 1 */
    IF CC JUMP .Ltrue_return_ident;
    R2 = R0;             /* X/1 => X */
    /*FALLTHRU*/
  
  .Ltrue_return_ident:
    R0 = R2;
  .Lreturn_r0:
    RTS;
  
  .Lpower_of_two:
    /* Y has a single bit set, which means it's a power of two.
    ** That means we can perform the division just by shifting
    ** X to the right the appropriate number of bits
    */
  
    /* signbits returns the number of sign bits, minus one.
    ** 1=>30, 2=>29, ..., 0x40000000=>0. Which means we need
    ** to shift right n-signbits spaces. It also means 0x80000000
    ** is a special case, because that *also* gives a signbits of 0
    */
  
    R2 = R0 >> 31;
    CC = R1 < 0;
    IF CC JUMP .Ltrue_return_ident;
  
    R1.l = SIGNBITS R1;
    R1 = R1.L (Z);
    R1 += -30;
    R0 = LSHIFT R0 by R1.L;
    RTS;
  
  /* METHOD 3: PRESCALE AND USE THE DIVIDE PRIMITIVES WITH SOME POST-CORRECTION
    Two scaling operations are required to use the divide primitives with a
    divisor > 0x7FFFF.
    Firstly (as in method 1) we need to shift the dividend 1 to the left for
    integer division.
    Secondly we need to shift both the divisor and dividend 1 to the right so
    both are in range for the primitives.
    The left/right shift of the dividend does nothing so we can skip it.
  */
  .Lshift_and_correct:
    R2 = R0;
    // R3 is already R1 >> 1
    CC=!CC;
    AQ = CC;                        /* Clear AQ, got here with CC = 0 */
    DIVQ(R2, R3); // 1
    DIVQ(R2, R3); // 2
    DIVQ(R2, R3); // 3
    DIVQ(R2, R3); // 4
    DIVQ(R2, R3); // 5
    DIVQ(R2, R3); // 6
    DIVQ(R2, R3); // 7
    DIVQ(R2, R3); // 8
    DIVQ(R2, R3); // 9
    DIVQ(R2, R3); // 10
    DIVQ(R2, R3); // 11
    DIVQ(R2, R3); // 12
    DIVQ(R2, R3); // 13
    DIVQ(R2, R3); // 14
    DIVQ(R2, R3); // 15
    DIVQ(R2, R3); // 16
  
    /* According to the Instruction Set Reference:
       To divide by a divisor > 0x7FFF,
       1. prescale and perform divide to obtain quotient (Q) (done above),
       2. multiply quotient by unscaled divisor (result M)
       3. subtract the product from the divident to get an error (E = X - M)
       4. if E < divisor (Y) subtract 1, if E > divisor (Y) add 1, else return quotient (Q)
     */
    R3 = R2.L (Z);		/* Q = X' / Y' */
    R2 = R3;		/* Preserve Q */
    R2 *= R1;		/* M = Q * Y */
    R2 = R0 - R2;		/* E = X - M */
    R0 = R3;		/* Copy Q into result reg */
  
  /* Correction: If result of the multiply is negative, we overflowed
     and need to correct the result by subtracting 1 from the result.*/
    R3 = 0xFFFF (Z);
    R2 = R2 >> 16;		/* E >> 16 */
    CC = R2 == R3;
    R3 = 1 ;
    R1 = R0 - R3;
    IF CC R0 = R1;
    RTS;
  
  ENDPROC(___udivsi3)