123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277 |
- /*
- * 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)
|