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- .file "div_Xsig.S"
- /*---------------------------------------------------------------------------+
- | div_Xsig.S |
- | |
- | Division subroutine for 96 bit quantities |
- | |
- | Copyright (C) 1994,1995 |
- | W. Metzenthen, 22 Parker St, Ormond, Vic 3163, |
- | Australia. E-mail billm@jacobi.maths.monash.edu.au |
- | |
- | |
- +---------------------------------------------------------------------------*/
- /*---------------------------------------------------------------------------+
- | Divide the 96 bit quantity pointed to by a, by that pointed to by b, and |
- | put the 96 bit result at the location d. |
- | |
- | The result may not be accurate to 96 bits. It is intended for use where |
- | a result better than 64 bits is required. The result should usually be |
- | good to at least 94 bits. |
- | The returned result is actually divided by one half. This is done to |
- | prevent overflow. |
- | |
- | .aaaaaaaaaaaaaa / .bbbbbbbbbbbbb -> .dddddddddddd |
- | |
- | void div_Xsig(Xsig *a, Xsig *b, Xsig *dest) |
- | |
- +---------------------------------------------------------------------------*/
- #include "exception.h"
- #include "fpu_emu.h"
- #define XsigLL(x) (x)
- #define XsigL(x) 4(x)
- #define XsigH(x) 8(x)
- #ifndef NON_REENTRANT_FPU
- /*
- Local storage on the stack:
- Accumulator: FPU_accum_3:FPU_accum_2:FPU_accum_1:FPU_accum_0
- */
- #define FPU_accum_3 -4(%ebp)
- #define FPU_accum_2 -8(%ebp)
- #define FPU_accum_1 -12(%ebp)
- #define FPU_accum_0 -16(%ebp)
- #define FPU_result_3 -20(%ebp)
- #define FPU_result_2 -24(%ebp)
- #define FPU_result_1 -28(%ebp)
- #else
- .data
- /*
- Local storage in a static area:
- Accumulator: FPU_accum_3:FPU_accum_2:FPU_accum_1:FPU_accum_0
- */
- .align 4,0
- FPU_accum_3:
- .long 0
- FPU_accum_2:
- .long 0
- FPU_accum_1:
- .long 0
- FPU_accum_0:
- .long 0
- FPU_result_3:
- .long 0
- FPU_result_2:
- .long 0
- FPU_result_1:
- .long 0
- #endif /* NON_REENTRANT_FPU */
- .text
- ENTRY(div_Xsig)
- pushl %ebp
- movl %esp,%ebp
- #ifndef NON_REENTRANT_FPU
- subl $28,%esp
- #endif /* NON_REENTRANT_FPU */
- pushl %esi
- pushl %edi
- pushl %ebx
- movl PARAM1,%esi /* pointer to num */
- movl PARAM2,%ebx /* pointer to denom */
- #ifdef PARANOID
- testl $0x80000000, XsigH(%ebx) /* Divisor */
- je L_bugged
- #endif /* PARANOID */
- /*---------------------------------------------------------------------------+
- | Divide: Return arg1/arg2 to arg3. |
- | |
- | The maximum returned value is (ignoring exponents) |
- | .ffffffff ffffffff |
- | ------------------ = 1.ffffffff fffffffe |
- | .80000000 00000000 |
- | and the minimum is |
- | .80000000 00000000 |
- | ------------------ = .80000000 00000001 (rounded) |
- | .ffffffff ffffffff |
- | |
- +---------------------------------------------------------------------------*/
- /* Save extended dividend in local register */
- /* Divide by 2 to prevent overflow */
- clc
- movl XsigH(%esi),%eax
- rcrl %eax
- movl %eax,FPU_accum_3
- movl XsigL(%esi),%eax
- rcrl %eax
- movl %eax,FPU_accum_2
- movl XsigLL(%esi),%eax
- rcrl %eax
- movl %eax,FPU_accum_1
- movl $0,%eax
- rcrl %eax
- movl %eax,FPU_accum_0
- movl FPU_accum_2,%eax /* Get the current num */
- movl FPU_accum_3,%edx
- /*----------------------------------------------------------------------*/
- /* Initialization done.
- Do the first 32 bits. */
- /* We will divide by a number which is too large */
- movl XsigH(%ebx),%ecx
- addl $1,%ecx
- jnc LFirst_div_not_1
- /* here we need to divide by 100000000h,
- i.e., no division at all.. */
- mov %edx,%eax
- jmp LFirst_div_done
- LFirst_div_not_1:
- divl %ecx /* Divide the numerator by the augmented
- denom ms dw */
- LFirst_div_done:
- movl %eax,FPU_result_3 /* Put the result in the answer */
- mull XsigH(%ebx) /* mul by the ms dw of the denom */
- subl %eax,FPU_accum_2 /* Subtract from the num local reg */
- sbbl %edx,FPU_accum_3
- movl FPU_result_3,%eax /* Get the result back */
- mull XsigL(%ebx) /* now mul the ls dw of the denom */
- subl %eax,FPU_accum_1 /* Subtract from the num local reg */
- sbbl %edx,FPU_accum_2
- sbbl $0,FPU_accum_3
- je LDo_2nd_32_bits /* Must check for non-zero result here */
- #ifdef PARANOID
- jb L_bugged_1
- #endif /* PARANOID */
- /* need to subtract another once of the denom */
- incl FPU_result_3 /* Correct the answer */
- movl XsigL(%ebx),%eax
- movl XsigH(%ebx),%edx
- subl %eax,FPU_accum_1 /* Subtract from the num local reg */
- sbbl %edx,FPU_accum_2
- #ifdef PARANOID
- sbbl $0,FPU_accum_3
- jne L_bugged_1 /* Must check for non-zero result here */
- #endif /* PARANOID */
- /*----------------------------------------------------------------------*/
- /* Half of the main problem is done, there is just a reduced numerator
- to handle now.
- Work with the second 32 bits, FPU_accum_0 not used from now on */
- LDo_2nd_32_bits:
- movl FPU_accum_2,%edx /* get the reduced num */
- movl FPU_accum_1,%eax
- /* need to check for possible subsequent overflow */
- cmpl XsigH(%ebx),%edx
- jb LDo_2nd_div
- ja LPrevent_2nd_overflow
- cmpl XsigL(%ebx),%eax
- jb LDo_2nd_div
- LPrevent_2nd_overflow:
- /* The numerator is greater or equal, would cause overflow */
- /* prevent overflow */
- subl XsigL(%ebx),%eax
- sbbl XsigH(%ebx),%edx
- movl %edx,FPU_accum_2
- movl %eax,FPU_accum_1
- incl FPU_result_3 /* Reflect the subtraction in the answer */
- #ifdef PARANOID
- je L_bugged_2 /* Can't bump the result to 1.0 */
- #endif /* PARANOID */
- LDo_2nd_div:
- cmpl $0,%ecx /* augmented denom msw */
- jnz LSecond_div_not_1
- /* %ecx == 0, we are dividing by 1.0 */
- mov %edx,%eax
- jmp LSecond_div_done
- LSecond_div_not_1:
- divl %ecx /* Divide the numerator by the denom ms dw */
- LSecond_div_done:
- movl %eax,FPU_result_2 /* Put the result in the answer */
- mull XsigH(%ebx) /* mul by the ms dw of the denom */
- subl %eax,FPU_accum_1 /* Subtract from the num local reg */
- sbbl %edx,FPU_accum_2
- #ifdef PARANOID
- jc L_bugged_2
- #endif /* PARANOID */
- movl FPU_result_2,%eax /* Get the result back */
- mull XsigL(%ebx) /* now mul the ls dw of the denom */
- subl %eax,FPU_accum_0 /* Subtract from the num local reg */
- sbbl %edx,FPU_accum_1 /* Subtract from the num local reg */
- sbbl $0,FPU_accum_2
- #ifdef PARANOID
- jc L_bugged_2
- #endif /* PARANOID */
- jz LDo_3rd_32_bits
- #ifdef PARANOID
- cmpl $1,FPU_accum_2
- jne L_bugged_2
- #endif /* PARANOID */
- /* need to subtract another once of the denom */
- movl XsigL(%ebx),%eax
- movl XsigH(%ebx),%edx
- subl %eax,FPU_accum_0 /* Subtract from the num local reg */
- sbbl %edx,FPU_accum_1
- sbbl $0,FPU_accum_2
- #ifdef PARANOID
- jc L_bugged_2
- jne L_bugged_2
- #endif /* PARANOID */
- addl $1,FPU_result_2 /* Correct the answer */
- adcl $0,FPU_result_3
- #ifdef PARANOID
- jc L_bugged_2 /* Must check for non-zero result here */
- #endif /* PARANOID */
- /*----------------------------------------------------------------------*/
- /* The division is essentially finished here, we just need to perform
- tidying operations.
- Deal with the 3rd 32 bits */
- LDo_3rd_32_bits:
- /* We use an approximation for the third 32 bits.
- To take account of the 3rd 32 bits of the divisor
- (call them del), we subtract del * (a/b) */
- movl FPU_result_3,%eax /* a/b */
- mull XsigLL(%ebx) /* del */
- subl %edx,FPU_accum_1
- /* A borrow indicates that the result is negative */
- jnb LTest_over
- movl XsigH(%ebx),%edx
- addl %edx,FPU_accum_1
- subl $1,FPU_result_2 /* Adjust the answer */
- sbbl $0,FPU_result_3
- /* The above addition might not have been enough, check again. */
- movl FPU_accum_1,%edx /* get the reduced num */
- cmpl XsigH(%ebx),%edx /* denom */
- jb LDo_3rd_div
- movl XsigH(%ebx),%edx
- addl %edx,FPU_accum_1
- subl $1,FPU_result_2 /* Adjust the answer */
- sbbl $0,FPU_result_3
- jmp LDo_3rd_div
- LTest_over:
- movl FPU_accum_1,%edx /* get the reduced num */
- /* need to check for possible subsequent overflow */
- cmpl XsigH(%ebx),%edx /* denom */
- jb LDo_3rd_div
- /* prevent overflow */
- subl XsigH(%ebx),%edx
- movl %edx,FPU_accum_1
- addl $1,FPU_result_2 /* Reflect the subtraction in the answer */
- adcl $0,FPU_result_3
- LDo_3rd_div:
- movl FPU_accum_0,%eax
- movl FPU_accum_1,%edx
- divl XsigH(%ebx)
- movl %eax,FPU_result_1 /* Rough estimate of third word */
- movl PARAM3,%esi /* pointer to answer */
- movl FPU_result_1,%eax
- movl %eax,XsigLL(%esi)
- movl FPU_result_2,%eax
- movl %eax,XsigL(%esi)
- movl FPU_result_3,%eax
- movl %eax,XsigH(%esi)
- L_exit:
- popl %ebx
- popl %edi
- popl %esi
- leave
- ret
- #ifdef PARANOID
- /* The logic is wrong if we got here */
- L_bugged:
- pushl EX_INTERNAL|0x240
- call EXCEPTION
- pop %ebx
- jmp L_exit
- L_bugged_1:
- pushl EX_INTERNAL|0x241
- call EXCEPTION
- pop %ebx
- jmp L_exit
- L_bugged_2:
- pushl EX_INTERNAL|0x242
- call EXCEPTION
- pop %ebx
- jmp L_exit
- #endif /* PARANOID */
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