| | scale.sa 3.3 7/30/91 | | The entry point sSCALE computes the destination operand | scaled by the source operand. If the absolute value of | the source operand is (>= 2^14) an overflow or underflow | is returned. | | The entry point sscale is called from do_func to emulate | the fscale unimplemented instruction. | | Input: Double-extended destination operand in FPTEMP, | double-extended source operand in ETEMP. | | Output: The function returns scale(X,Y) to fp0. | | Modifies: fp0. | | Algorithm: | | Copyright (C) Motorola, Inc. 1990 | All Rights Reserved | | For details on the license for this file, please see the | file, README, in this same directory. |SCALE idnt 2,1 | Motorola 040 Floating Point Software Package |section 8 #include "fpsp.h" |xref t_ovfl2 |xref t_unfl |xref round |xref t_resdnrm SRC_BNDS: .short 0x3fff,0x400c | | This entry point is used by the unimplemented instruction exception | handler. | | | | FSCALE | .global sscale sscale: fmovel #0,%fpcr |clr user enabled exc clrl %d1 movew FPTEMP(%a6),%d1 |get dest exponent smi L_SCR1(%a6) |use L_SCR1 to hold sign andil #0x7fff,%d1 |strip sign movew ETEMP(%a6),%d0 |check src bounds andiw #0x7fff,%d0 |clr sign bit cmp2w SRC_BNDS,%d0 bccs src_in cmpiw #0x400c,%d0 |test for too large bge src_out | | The source input is below 1, so we check for denormalized numbers | and set unfl. | src_small: moveb DTAG(%a6),%d0 andib #0xe0,%d0 tstb %d0 beqs no_denorm st STORE_FLG(%a6) |dest already contains result orl #unfl_mask,USER_FPSR(%a6) |set UNFL den_done: leal FPTEMP(%a6),%a0 bra t_resdnrm no_denorm: fmovel USER_FPCR(%a6),%FPCR fmovex FPTEMP(%a6),%fp0 |simply return dest rts | | Source is within 2^14 range. To perform the int operation, | move it to d0. | src_in: fmovex ETEMP(%a6),%fp0 |move in src for int fmovel #rz_mode,%fpcr |force rz for src conversion fmovel %fp0,%d0 |int src to d0 fmovel #0,%FPSR |clr status from above tstw ETEMP(%a6) |check src sign blt src_neg | | Source is positive. Add the src to the dest exponent. | The result can be denormalized, if src = 0, or overflow, | if the result of the add sets a bit in the upper word. | src_pos: tstw %d1 |check for denorm beq dst_dnrm addl %d0,%d1 |add src to dest exp beqs denorm |if zero, result is denorm cmpil #0x7fff,%d1 |test for overflow bges ovfl tstb L_SCR1(%a6) beqs spos_pos orw #0x8000,%d1 spos_pos: movew %d1,FPTEMP(%a6) |result in FPTEMP fmovel USER_FPCR(%a6),%FPCR fmovex FPTEMP(%a6),%fp0 |write result to fp0 rts ovfl: tstb L_SCR1(%a6) beqs sovl_pos orw #0x8000,%d1 sovl_pos: movew FPTEMP(%a6),ETEMP(%a6) |result in ETEMP movel FPTEMP_HI(%a6),ETEMP_HI(%a6) movel FPTEMP_LO(%a6),ETEMP_LO(%a6) bra t_ovfl2 denorm: tstb L_SCR1(%a6) beqs den_pos orw #0x8000,%d1 den_pos: tstl FPTEMP_HI(%a6) |check j bit blts nden_exit |if set, not denorm movew %d1,ETEMP(%a6) |input expected in ETEMP movel FPTEMP_HI(%a6),ETEMP_HI(%a6) movel FPTEMP_LO(%a6),ETEMP_LO(%a6) orl #unfl_bit,USER_FPSR(%a6) |set unfl leal ETEMP(%a6),%a0 bra t_resdnrm nden_exit: movew %d1,FPTEMP(%a6) |result in FPTEMP fmovel USER_FPCR(%a6),%FPCR fmovex FPTEMP(%a6),%fp0 |write result to fp0 rts | | Source is negative. Add the src to the dest exponent. | (The result exponent will be reduced). The result can be | denormalized. | src_neg: addl %d0,%d1 |add src to dest beqs denorm |if zero, result is denorm blts fix_dnrm |if negative, result is | ;needing denormalization tstb L_SCR1(%a6) beqs sneg_pos orw #0x8000,%d1 sneg_pos: movew %d1,FPTEMP(%a6) |result in FPTEMP fmovel USER_FPCR(%a6),%FPCR fmovex FPTEMP(%a6),%fp0 |write result to fp0 rts | | The result exponent is below denorm value. Test for catastrophic | underflow and force zero if true. If not, try to shift the | mantissa right until a zero exponent exists. | fix_dnrm: cmpiw #0xffc0,%d1 |lower bound for normalization blt fix_unfl |if lower, catastrophic unfl movew %d1,%d0 |use d0 for exp movel %d2,-(%a7) |free d2 for norm movel FPTEMP_HI(%a6),%d1 movel FPTEMP_LO(%a6),%d2 clrl L_SCR2(%a6) fix_loop: addw #1,%d0 |drive d0 to 0 lsrl #1,%d1 |while shifting the roxrl #1,%d2 |mantissa to the right bccs no_carry st L_SCR2(%a6) |use L_SCR2 to capture inex no_carry: tstw %d0 |it is finished when blts fix_loop |d0 is zero or the mantissa tstb L_SCR2(%a6) beqs tst_zero orl #unfl_inx_mask,USER_FPSR(%a6) | ;set unfl, aunfl, ainex | | Test for zero. If zero, simply use fmove to return +/- zero | to the fpu. | tst_zero: clrw FPTEMP_EX(%a6) tstb L_SCR1(%a6) |test for sign beqs tst_con orw #0x8000,FPTEMP_EX(%a6) |set sign bit tst_con: movel %d1,FPTEMP_HI(%a6) movel %d2,FPTEMP_LO(%a6) movel (%a7)+,%d2 tstl %d1 bnes not_zero tstl FPTEMP_LO(%a6) bnes not_zero | | Result is zero. Check for rounding mode to set lsb. If the | mode is rp, and the zero is positive, return smallest denorm. | If the mode is rm, and the zero is negative, return smallest | negative denorm. | btstb #5,FPCR_MODE(%a6) |test if rm or rp beqs no_dir btstb #4,FPCR_MODE(%a6) |check which one beqs zer_rm zer_rp: tstb L_SCR1(%a6) |check sign bnes no_dir |if set, neg op, no inc movel #1,FPTEMP_LO(%a6) |set lsb bras sm_dnrm zer_rm: tstb L_SCR1(%a6) |check sign beqs no_dir |if clr, neg op, no inc movel #1,FPTEMP_LO(%a6) |set lsb orl #neg_mask,USER_FPSR(%a6) |set N bras sm_dnrm no_dir: fmovel USER_FPCR(%a6),%FPCR fmovex FPTEMP(%a6),%fp0 |use fmove to set cc's rts | | The rounding mode changed the zero to a smallest denorm. Call | t_resdnrm with exceptional operand in ETEMP. | sm_dnrm: movel FPTEMP_EX(%a6),ETEMP_EX(%a6) movel FPTEMP_HI(%a6),ETEMP_HI(%a6) movel FPTEMP_LO(%a6),ETEMP_LO(%a6) leal ETEMP(%a6),%a0 bra t_resdnrm | | Result is still denormalized. | not_zero: orl #unfl_mask,USER_FPSR(%a6) |set unfl tstb L_SCR1(%a6) |check for sign beqs fix_exit orl #neg_mask,USER_FPSR(%a6) |set N fix_exit: bras sm_dnrm | | The result has underflowed to zero. Return zero and set | unfl, aunfl, and ainex. | fix_unfl: orl #unfl_inx_mask,USER_FPSR(%a6) btstb #5,FPCR_MODE(%a6) |test if rm or rp beqs no_dir2 btstb #4,FPCR_MODE(%a6) |check which one beqs zer_rm2 zer_rp2: tstb L_SCR1(%a6) |check sign bnes no_dir2 |if set, neg op, no inc clrl FPTEMP_EX(%a6) clrl FPTEMP_HI(%a6) movel #1,FPTEMP_LO(%a6) |set lsb bras sm_dnrm |return smallest denorm zer_rm2: tstb L_SCR1(%a6) |check sign beqs no_dir2 |if clr, neg op, no inc movew #0x8000,FPTEMP_EX(%a6) clrl FPTEMP_HI(%a6) movel #1,FPTEMP_LO(%a6) |set lsb orl #neg_mask,USER_FPSR(%a6) |set N bra sm_dnrm |return smallest denorm no_dir2: tstb L_SCR1(%a6) bges pos_zero neg_zero: clrl FP_SCR1(%a6) |clear the exceptional operand clrl FP_SCR1+4(%a6) |for gen_except. clrl FP_SCR1+8(%a6) fmoves #0x80000000,%fp0 rts pos_zero: clrl FP_SCR1(%a6) |clear the exceptional operand clrl FP_SCR1+4(%a6) |for gen_except. clrl FP_SCR1+8(%a6) fmoves #0x00000000,%fp0 rts | | The destination is a denormalized number. It must be handled | by first shifting the bits in the mantissa until it is normalized, | then adding the remainder of the source to the exponent. | dst_dnrm: moveml %d2/%d3,-(%a7) movew FPTEMP_EX(%a6),%d1 movel FPTEMP_HI(%a6),%d2 movel FPTEMP_LO(%a6),%d3 dst_loop: tstl %d2 |test for normalized result blts dst_norm |exit loop if so tstl %d0 |otherwise, test shift count beqs dst_fin |if zero, shifting is done subil #1,%d0 |dec src lsll #1,%d3 roxll #1,%d2 bras dst_loop | | Destination became normalized. Simply add the remaining | portion of the src to the exponent. | dst_norm: addw %d0,%d1 |dst is normalized; add src tstb L_SCR1(%a6) beqs dnrm_pos orl #0x8000,%d1 dnrm_pos: movemw %d1,FPTEMP_EX(%a6) moveml %d2,FPTEMP_HI(%a6) moveml %d3,FPTEMP_LO(%a6) fmovel USER_FPCR(%a6),%FPCR fmovex FPTEMP(%a6),%fp0 moveml (%a7)+,%d2/%d3 rts | | Destination remained denormalized. Call t_excdnrm with | exceptional operand in ETEMP. | dst_fin: tstb L_SCR1(%a6) |check for sign beqs dst_exit orl #neg_mask,USER_FPSR(%a6) |set N orl #0x8000,%d1 dst_exit: movemw %d1,ETEMP_EX(%a6) moveml %d2,ETEMP_HI(%a6) moveml %d3,ETEMP_LO(%a6) orl #unfl_mask,USER_FPSR(%a6) |set unfl moveml (%a7)+,%d2/%d3 leal ETEMP(%a6),%a0 bra t_resdnrm | | Source is outside of 2^14 range. Test the sign and branch | to the appropriate exception handler. | src_out: tstb L_SCR1(%a6) beqs scro_pos orl #0x8000,%d1 scro_pos: movel FPTEMP_HI(%a6),ETEMP_HI(%a6) movel FPTEMP_LO(%a6),ETEMP_LO(%a6) tstw ETEMP(%a6) blts res_neg res_pos: movew %d1,ETEMP(%a6) |result in ETEMP bra t_ovfl2 res_neg: movew %d1,ETEMP(%a6) |result in ETEMP leal ETEMP(%a6),%a0 bra t_unfl |end