2012-03-27 23:13:14 +00:00
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/* IEEE-754 single-precision functions for Xtensa
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2014-09-21 17:33:12 +00:00
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Copyright (C) 2006-2014 Free Software Foundation, Inc.
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2012-03-27 23:13:14 +00:00
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Contributed by Bob Wilson (bwilson@tensilica.com) at Tensilica.
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This file is part of GCC.
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GCC is free software; you can redistribute it and/or modify it
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under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 3, or (at your option)
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any later version.
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GCC is distributed in the hope that it will be useful, but WITHOUT
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ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
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License for more details.
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Under Section 7 of GPL version 3, you are granted additional
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permissions described in the GCC Runtime Library Exception, version
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3.1, as published by the Free Software Foundation.
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You should have received a copy of the GNU General Public License and
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a copy of the GCC Runtime Library Exception along with this program;
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see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
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<http://www.gnu.org/licenses/>. */
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#ifdef __XTENSA_EB__
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#define xh a2
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#define xl a3
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#define yh a4
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#define yl a5
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#else
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#define xh a3
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#define xl a2
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#define yh a5
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#define yl a4
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#endif
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/* Warning! The branch displacements for some Xtensa branch instructions
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are quite small, and this code has been carefully laid out to keep
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branch targets in range. If you change anything, be sure to check that
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the assembler is not relaxing anything to branch over a jump. */
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#ifdef L_negsf2
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.align 4
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.global __negsf2
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.type __negsf2, @function
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__negsf2:
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leaf_entry sp, 16
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movi a4, 0x80000000
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xor a2, a2, a4
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leaf_return
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#endif /* L_negsf2 */
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#ifdef L_addsubsf3
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/* Addition */
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__addsf3_aux:
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/* Handle NaNs and Infinities. (This code is placed before the
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start of the function just to keep it in range of the limited
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branch displacements.) */
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.Ladd_xnan_or_inf:
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/* If y is neither Infinity nor NaN, return x. */
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bnall a3, a6, 1f
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/* If x is a NaN, return it. Otherwise, return y. */
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slli a7, a2, 9
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beqz a7, .Ladd_ynan_or_inf
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1: leaf_return
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.Ladd_ynan_or_inf:
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/* Return y. */
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mov a2, a3
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leaf_return
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.Ladd_opposite_signs:
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/* Operand signs differ. Do a subtraction. */
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slli a7, a6, 8
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xor a3, a3, a7
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j .Lsub_same_sign
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.align 4
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.global __addsf3
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.type __addsf3, @function
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__addsf3:
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leaf_entry sp, 16
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movi a6, 0x7f800000
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/* Check if the two operands have the same sign. */
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xor a7, a2, a3
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bltz a7, .Ladd_opposite_signs
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.Ladd_same_sign:
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/* Check if either exponent == 0x7f8 (i.e., NaN or Infinity). */
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ball a2, a6, .Ladd_xnan_or_inf
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ball a3, a6, .Ladd_ynan_or_inf
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/* Compare the exponents. The smaller operand will be shifted
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right by the exponent difference and added to the larger
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one. */
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extui a7, a2, 23, 9
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extui a8, a3, 23, 9
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bltu a7, a8, .Ladd_shiftx
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.Ladd_shifty:
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/* Check if the smaller (or equal) exponent is zero. */
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bnone a3, a6, .Ladd_yexpzero
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/* Replace y sign/exponent with 0x008. */
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or a3, a3, a6
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slli a3, a3, 8
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srli a3, a3, 8
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.Ladd_yexpdiff:
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/* Compute the exponent difference. */
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sub a10, a7, a8
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/* Exponent difference > 32 -- just return the bigger value. */
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bgeui a10, 32, 1f
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/* Shift y right by the exponent difference. Any bits that are
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shifted out of y are saved in a9 for rounding the result. */
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ssr a10
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movi a9, 0
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src a9, a3, a9
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srl a3, a3
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/* Do the addition. */
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add a2, a2, a3
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/* Check if the add overflowed into the exponent. */
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extui a10, a2, 23, 9
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beq a10, a7, .Ladd_round
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mov a8, a7
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j .Ladd_carry
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.Ladd_yexpzero:
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/* y is a subnormal value. Replace its sign/exponent with zero,
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i.e., no implicit "1.0", and increment the apparent exponent
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because subnormals behave as if they had the minimum (nonzero)
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exponent. Test for the case when both exponents are zero. */
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slli a3, a3, 9
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srli a3, a3, 9
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bnone a2, a6, .Ladd_bothexpzero
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addi a8, a8, 1
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j .Ladd_yexpdiff
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.Ladd_bothexpzero:
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/* Both exponents are zero. Handle this as a special case. There
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is no need to shift or round, and the normal code for handling
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a carry into the exponent field will not work because it
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assumes there is an implicit "1.0" that needs to be added. */
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add a2, a2, a3
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1: leaf_return
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.Ladd_xexpzero:
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/* Same as "yexpzero" except skip handling the case when both
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exponents are zero. */
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slli a2, a2, 9
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srli a2, a2, 9
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addi a7, a7, 1
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j .Ladd_xexpdiff
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.Ladd_shiftx:
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/* Same thing as the "shifty" code, but with x and y swapped. Also,
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because the exponent difference is always nonzero in this version,
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the shift sequence can use SLL and skip loading a constant zero. */
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bnone a2, a6, .Ladd_xexpzero
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or a2, a2, a6
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slli a2, a2, 8
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srli a2, a2, 8
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.Ladd_xexpdiff:
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sub a10, a8, a7
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bgeui a10, 32, .Ladd_returny
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ssr a10
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sll a9, a2
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srl a2, a2
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add a2, a2, a3
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/* Check if the add overflowed into the exponent. */
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extui a10, a2, 23, 9
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bne a10, a8, .Ladd_carry
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.Ladd_round:
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/* Round up if the leftover fraction is >= 1/2. */
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bgez a9, 1f
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addi a2, a2, 1
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/* Check if the leftover fraction is exactly 1/2. */
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slli a9, a9, 1
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beqz a9, .Ladd_exactlyhalf
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1: leaf_return
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.Ladd_returny:
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mov a2, a3
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leaf_return
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.Ladd_carry:
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/* The addition has overflowed into the exponent field, so the
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value needs to be renormalized. The mantissa of the result
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can be recovered by subtracting the original exponent and
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adding 0x800000 (which is the explicit "1.0" for the
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mantissa of the non-shifted operand -- the "1.0" for the
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shifted operand was already added). The mantissa can then
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be shifted right by one bit. The explicit "1.0" of the
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shifted mantissa then needs to be replaced by the exponent,
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incremented by one to account for the normalizing shift.
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It is faster to combine these operations: do the shift first
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and combine the additions and subtractions. If x is the
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original exponent, the result is:
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shifted mantissa - (x << 22) + (1 << 22) + (x << 23)
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or:
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shifted mantissa + ((x + 1) << 22)
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Note that the exponent is incremented here by leaving the
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explicit "1.0" of the mantissa in the exponent field. */
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/* Shift x right by one bit. Save the lsb. */
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mov a10, a2
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srli a2, a2, 1
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/* See explanation above. The original exponent is in a8. */
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addi a8, a8, 1
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slli a8, a8, 22
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add a2, a2, a8
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/* Return an Infinity if the exponent overflowed. */
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ball a2, a6, .Ladd_infinity
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/* Same thing as the "round" code except the msb of the leftover
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fraction is bit 0 of a10, with the rest of the fraction in a9. */
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bbci.l a10, 0, 1f
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addi a2, a2, 1
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beqz a9, .Ladd_exactlyhalf
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1: leaf_return
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.Ladd_infinity:
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/* Clear the mantissa. */
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srli a2, a2, 23
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slli a2, a2, 23
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/* The sign bit may have been lost in a carry-out. Put it back. */
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slli a8, a8, 1
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or a2, a2, a8
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leaf_return
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.Ladd_exactlyhalf:
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/* Round down to the nearest even value. */
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srli a2, a2, 1
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slli a2, a2, 1
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leaf_return
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/* Subtraction */
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__subsf3_aux:
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/* Handle NaNs and Infinities. (This code is placed before the
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start of the function just to keep it in range of the limited
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branch displacements.) */
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.Lsub_xnan_or_inf:
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/* If y is neither Infinity nor NaN, return x. */
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bnall a3, a6, 1f
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/* Both x and y are either NaN or Inf, so the result is NaN. */
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movi a4, 0x400000 /* make it a quiet NaN */
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or a2, a2, a4
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1: leaf_return
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.Lsub_ynan_or_inf:
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/* Negate y and return it. */
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slli a7, a6, 8
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xor a2, a3, a7
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leaf_return
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.Lsub_opposite_signs:
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/* Operand signs differ. Do an addition. */
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slli a7, a6, 8
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xor a3, a3, a7
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j .Ladd_same_sign
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.align 4
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.global __subsf3
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.type __subsf3, @function
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__subsf3:
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leaf_entry sp, 16
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movi a6, 0x7f800000
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/* Check if the two operands have the same sign. */
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xor a7, a2, a3
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bltz a7, .Lsub_opposite_signs
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.Lsub_same_sign:
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/* Check if either exponent == 0x7f8 (i.e., NaN or Infinity). */
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ball a2, a6, .Lsub_xnan_or_inf
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ball a3, a6, .Lsub_ynan_or_inf
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/* Compare the operands. In contrast to addition, the entire
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value matters here. */
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extui a7, a2, 23, 8
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extui a8, a3, 23, 8
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bltu a2, a3, .Lsub_xsmaller
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.Lsub_ysmaller:
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/* Check if the smaller (or equal) exponent is zero. */
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bnone a3, a6, .Lsub_yexpzero
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/* Replace y sign/exponent with 0x008. */
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or a3, a3, a6
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slli a3, a3, 8
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srli a3, a3, 8
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.Lsub_yexpdiff:
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/* Compute the exponent difference. */
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sub a10, a7, a8
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/* Exponent difference > 32 -- just return the bigger value. */
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bgeui a10, 32, 1f
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/* Shift y right by the exponent difference. Any bits that are
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shifted out of y are saved in a9 for rounding the result. */
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ssr a10
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movi a9, 0
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src a9, a3, a9
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srl a3, a3
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sub a2, a2, a3
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/* Subtract the leftover bits in a9 from zero and propagate any
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borrow from a2. */
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neg a9, a9
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addi a10, a2, -1
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movnez a2, a10, a9
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/* Check if the subtract underflowed into the exponent. */
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extui a10, a2, 23, 8
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beq a10, a7, .Lsub_round
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j .Lsub_borrow
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.Lsub_yexpzero:
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/* Return zero if the inputs are equal. (For the non-subnormal
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case, subtracting the "1.0" will cause a borrow from the exponent
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and this case can be detected when handling the borrow.) */
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beq a2, a3, .Lsub_return_zero
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/* y is a subnormal value. Replace its sign/exponent with zero,
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i.e., no implicit "1.0". Unless x is also a subnormal, increment
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y's apparent exponent because subnormals behave as if they had
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the minimum (nonzero) exponent. */
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slli a3, a3, 9
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srli a3, a3, 9
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bnone a2, a6, .Lsub_yexpdiff
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addi a8, a8, 1
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j .Lsub_yexpdiff
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.Lsub_returny:
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/* Negate and return y. */
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slli a7, a6, 8
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xor a2, a3, a7
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1: leaf_return
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.Lsub_xsmaller:
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/* Same thing as the "ysmaller" code, but with x and y swapped and
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with y negated. */
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bnone a2, a6, .Lsub_xexpzero
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|
or a2, a2, a6
|
|
|
|
slli a2, a2, 8
|
|
|
|
srli a2, a2, 8
|
|
|
|
|
|
|
|
.Lsub_xexpdiff:
|
|
|
|
sub a10, a8, a7
|
|
|
|
bgeui a10, 32, .Lsub_returny
|
|
|
|
|
|
|
|
ssr a10
|
|
|
|
movi a9, 0
|
|
|
|
src a9, a2, a9
|
|
|
|
srl a2, a2
|
|
|
|
|
|
|
|
/* Negate y. */
|
|
|
|
slli a11, a6, 8
|
|
|
|
xor a3, a3, a11
|
|
|
|
|
|
|
|
sub a2, a3, a2
|
|
|
|
|
|
|
|
neg a9, a9
|
|
|
|
addi a10, a2, -1
|
|
|
|
movnez a2, a10, a9
|
|
|
|
|
|
|
|
/* Check if the subtract underflowed into the exponent. */
|
|
|
|
extui a10, a2, 23, 8
|
|
|
|
bne a10, a8, .Lsub_borrow
|
|
|
|
|
|
|
|
.Lsub_round:
|
|
|
|
/* Round up if the leftover fraction is >= 1/2. */
|
|
|
|
bgez a9, 1f
|
|
|
|
addi a2, a2, 1
|
|
|
|
|
|
|
|
/* Check if the leftover fraction is exactly 1/2. */
|
|
|
|
slli a9, a9, 1
|
|
|
|
beqz a9, .Lsub_exactlyhalf
|
|
|
|
1: leaf_return
|
|
|
|
|
|
|
|
.Lsub_xexpzero:
|
|
|
|
/* Same as "yexpzero". */
|
|
|
|
beq a2, a3, .Lsub_return_zero
|
|
|
|
slli a2, a2, 9
|
|
|
|
srli a2, a2, 9
|
|
|
|
bnone a3, a6, .Lsub_xexpdiff
|
|
|
|
addi a7, a7, 1
|
|
|
|
j .Lsub_xexpdiff
|
|
|
|
|
|
|
|
.Lsub_return_zero:
|
|
|
|
movi a2, 0
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
.Lsub_borrow:
|
|
|
|
/* The subtraction has underflowed into the exponent field, so the
|
|
|
|
value needs to be renormalized. Shift the mantissa left as
|
|
|
|
needed to remove any leading zeros and adjust the exponent
|
|
|
|
accordingly. If the exponent is not large enough to remove
|
|
|
|
all the leading zeros, the result will be a subnormal value. */
|
|
|
|
|
|
|
|
slli a8, a2, 9
|
|
|
|
beqz a8, .Lsub_xzero
|
|
|
|
do_nsau a6, a8, a7, a11
|
|
|
|
srli a8, a8, 9
|
|
|
|
bge a6, a10, .Lsub_subnormal
|
|
|
|
addi a6, a6, 1
|
|
|
|
|
|
|
|
.Lsub_normalize_shift:
|
|
|
|
/* Shift the mantissa (a8/a9) left by a6. */
|
|
|
|
ssl a6
|
|
|
|
src a8, a8, a9
|
|
|
|
sll a9, a9
|
|
|
|
|
|
|
|
/* Combine the shifted mantissa with the sign and exponent,
|
|
|
|
decrementing the exponent by a6. (The exponent has already
|
|
|
|
been decremented by one due to the borrow from the subtraction,
|
|
|
|
but adding the mantissa will increment the exponent by one.) */
|
|
|
|
srli a2, a2, 23
|
|
|
|
sub a2, a2, a6
|
|
|
|
slli a2, a2, 23
|
|
|
|
add a2, a2, a8
|
|
|
|
j .Lsub_round
|
|
|
|
|
|
|
|
.Lsub_exactlyhalf:
|
|
|
|
/* Round down to the nearest even value. */
|
|
|
|
srli a2, a2, 1
|
|
|
|
slli a2, a2, 1
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
.Lsub_xzero:
|
|
|
|
/* If there was a borrow from the exponent, and the mantissa and
|
|
|
|
guard digits are all zero, then the inputs were equal and the
|
|
|
|
result should be zero. */
|
|
|
|
beqz a9, .Lsub_return_zero
|
|
|
|
|
|
|
|
/* Only the guard digit is nonzero. Shift by min(24, a10). */
|
|
|
|
addi a11, a10, -24
|
|
|
|
movi a6, 24
|
|
|
|
movltz a6, a10, a11
|
|
|
|
j .Lsub_normalize_shift
|
|
|
|
|
|
|
|
.Lsub_subnormal:
|
|
|
|
/* The exponent is too small to shift away all the leading zeros.
|
|
|
|
Set a6 to the current exponent (which has already been
|
|
|
|
decremented by the borrow) so that the exponent of the result
|
|
|
|
will be zero. Do not add 1 to a6 in this case, because: (1)
|
|
|
|
adding the mantissa will not increment the exponent, so there is
|
|
|
|
no need to subtract anything extra from the exponent to
|
|
|
|
compensate, and (2) the effective exponent of a subnormal is 1
|
|
|
|
not 0 so the shift amount must be 1 smaller than normal. */
|
|
|
|
mov a6, a10
|
|
|
|
j .Lsub_normalize_shift
|
|
|
|
|
|
|
|
#endif /* L_addsubsf3 */
|
|
|
|
|
|
|
|
#ifdef L_mulsf3
|
|
|
|
|
|
|
|
/* Multiplication */
|
|
|
|
#if !XCHAL_HAVE_MUL16 && !XCHAL_HAVE_MUL32 && !XCHAL_HAVE_MAC16
|
|
|
|
#define XCHAL_NO_MUL 1
|
|
|
|
#endif
|
|
|
|
|
|
|
|
__mulsf3_aux:
|
|
|
|
|
|
|
|
/* Handle unusual cases (zeros, subnormals, NaNs and Infinities).
|
|
|
|
(This code is placed before the start of the function just to
|
|
|
|
keep it in range of the limited branch displacements.) */
|
|
|
|
|
|
|
|
.Lmul_xexpzero:
|
|
|
|
/* Clear the sign bit of x. */
|
|
|
|
slli a2, a2, 1
|
|
|
|
srli a2, a2, 1
|
|
|
|
|
|
|
|
/* If x is zero, return zero. */
|
|
|
|
beqz a2, .Lmul_return_zero
|
|
|
|
|
|
|
|
/* Normalize x. Adjust the exponent in a8. */
|
|
|
|
do_nsau a10, a2, a11, a12
|
|
|
|
addi a10, a10, -8
|
|
|
|
ssl a10
|
|
|
|
sll a2, a2
|
|
|
|
movi a8, 1
|
|
|
|
sub a8, a8, a10
|
|
|
|
j .Lmul_xnormalized
|
|
|
|
|
|
|
|
.Lmul_yexpzero:
|
|
|
|
/* Clear the sign bit of y. */
|
|
|
|
slli a3, a3, 1
|
|
|
|
srli a3, a3, 1
|
|
|
|
|
|
|
|
/* If y is zero, return zero. */
|
|
|
|
beqz a3, .Lmul_return_zero
|
|
|
|
|
|
|
|
/* Normalize y. Adjust the exponent in a9. */
|
|
|
|
do_nsau a10, a3, a11, a12
|
|
|
|
addi a10, a10, -8
|
|
|
|
ssl a10
|
|
|
|
sll a3, a3
|
|
|
|
movi a9, 1
|
|
|
|
sub a9, a9, a10
|
|
|
|
j .Lmul_ynormalized
|
|
|
|
|
|
|
|
.Lmul_return_zero:
|
|
|
|
/* Return zero with the appropriate sign bit. */
|
|
|
|
srli a2, a7, 31
|
|
|
|
slli a2, a2, 31
|
|
|
|
j .Lmul_done
|
|
|
|
|
|
|
|
.Lmul_xnan_or_inf:
|
|
|
|
/* If y is zero, return NaN. */
|
|
|
|
slli a8, a3, 1
|
|
|
|
bnez a8, 1f
|
|
|
|
movi a4, 0x400000 /* make it a quiet NaN */
|
|
|
|
or a2, a2, a4
|
|
|
|
j .Lmul_done
|
|
|
|
1:
|
|
|
|
/* If y is NaN, return y. */
|
|
|
|
bnall a3, a6, .Lmul_returnx
|
|
|
|
slli a8, a3, 9
|
|
|
|
beqz a8, .Lmul_returnx
|
|
|
|
|
|
|
|
.Lmul_returny:
|
|
|
|
mov a2, a3
|
|
|
|
|
|
|
|
.Lmul_returnx:
|
|
|
|
/* Set the sign bit and return. */
|
|
|
|
extui a7, a7, 31, 1
|
|
|
|
slli a2, a2, 1
|
|
|
|
ssai 1
|
|
|
|
src a2, a7, a2
|
|
|
|
j .Lmul_done
|
|
|
|
|
|
|
|
.Lmul_ynan_or_inf:
|
|
|
|
/* If x is zero, return NaN. */
|
|
|
|
slli a8, a2, 1
|
|
|
|
bnez a8, .Lmul_returny
|
|
|
|
movi a7, 0x400000 /* make it a quiet NaN */
|
|
|
|
or a2, a3, a7
|
|
|
|
j .Lmul_done
|
|
|
|
|
|
|
|
.align 4
|
|
|
|
.global __mulsf3
|
|
|
|
.type __mulsf3, @function
|
|
|
|
__mulsf3:
|
|
|
|
#if __XTENSA_CALL0_ABI__
|
|
|
|
leaf_entry sp, 32
|
|
|
|
addi sp, sp, -32
|
|
|
|
s32i a12, sp, 16
|
|
|
|
s32i a13, sp, 20
|
|
|
|
s32i a14, sp, 24
|
|
|
|
s32i a15, sp, 28
|
|
|
|
#elif XCHAL_NO_MUL
|
|
|
|
/* This is not really a leaf function; allocate enough stack space
|
|
|
|
to allow CALL12s to a helper function. */
|
|
|
|
leaf_entry sp, 64
|
|
|
|
#else
|
|
|
|
leaf_entry sp, 32
|
|
|
|
#endif
|
|
|
|
movi a6, 0x7f800000
|
|
|
|
|
|
|
|
/* Get the sign of the result. */
|
|
|
|
xor a7, a2, a3
|
|
|
|
|
|
|
|
/* Check for NaN and infinity. */
|
|
|
|
ball a2, a6, .Lmul_xnan_or_inf
|
|
|
|
ball a3, a6, .Lmul_ynan_or_inf
|
|
|
|
|
|
|
|
/* Extract the exponents. */
|
|
|
|
extui a8, a2, 23, 8
|
|
|
|
extui a9, a3, 23, 8
|
|
|
|
|
|
|
|
beqz a8, .Lmul_xexpzero
|
|
|
|
.Lmul_xnormalized:
|
|
|
|
beqz a9, .Lmul_yexpzero
|
|
|
|
.Lmul_ynormalized:
|
|
|
|
|
|
|
|
/* Add the exponents. */
|
|
|
|
add a8, a8, a9
|
|
|
|
|
|
|
|
/* Replace sign/exponent fields with explicit "1.0". */
|
|
|
|
movi a10, 0xffffff
|
|
|
|
or a2, a2, a6
|
|
|
|
and a2, a2, a10
|
|
|
|
or a3, a3, a6
|
|
|
|
and a3, a3, a10
|
|
|
|
|
|
|
|
/* Multiply 32x32 to 64 bits. The result ends up in a2/a6. */
|
|
|
|
|
|
|
|
#if XCHAL_HAVE_MUL32_HIGH
|
|
|
|
|
|
|
|
mull a6, a2, a3
|
|
|
|
muluh a2, a2, a3
|
|
|
|
|
|
|
|
#else
|
|
|
|
|
|
|
|
/* Break the inputs into 16-bit chunks and compute 4 32-bit partial
|
|
|
|
products. These partial products are:
|
|
|
|
|
|
|
|
0 xl * yl
|
|
|
|
|
|
|
|
1 xl * yh
|
|
|
|
2 xh * yl
|
|
|
|
|
|
|
|
3 xh * yh
|
|
|
|
|
|
|
|
If using the Mul16 or Mul32 multiplier options, these input
|
|
|
|
chunks must be stored in separate registers. For Mac16, the
|
|
|
|
UMUL.AA.* opcodes can specify that the inputs come from either
|
|
|
|
half of the registers, so there is no need to shift them out
|
|
|
|
ahead of time. If there is no multiply hardware, the 16-bit
|
|
|
|
chunks can be extracted when setting up the arguments to the
|
|
|
|
separate multiply function. */
|
|
|
|
|
|
|
|
#if __XTENSA_CALL0_ABI__ && XCHAL_NO_MUL
|
|
|
|
/* Calling a separate multiply function will clobber a0 and requires
|
|
|
|
use of a8 as a temporary, so save those values now. (The function
|
|
|
|
uses a custom ABI so nothing else needs to be saved.) */
|
|
|
|
s32i a0, sp, 0
|
|
|
|
s32i a8, sp, 4
|
|
|
|
#endif
|
|
|
|
|
|
|
|
#if XCHAL_HAVE_MUL16 || XCHAL_HAVE_MUL32
|
|
|
|
|
|
|
|
#define a2h a4
|
|
|
|
#define a3h a5
|
|
|
|
|
|
|
|
/* Get the high halves of the inputs into registers. */
|
|
|
|
srli a2h, a2, 16
|
|
|
|
srli a3h, a3, 16
|
|
|
|
|
|
|
|
#define a2l a2
|
|
|
|
#define a3l a3
|
|
|
|
|
|
|
|
#if XCHAL_HAVE_MUL32 && !XCHAL_HAVE_MUL16
|
|
|
|
/* Clear the high halves of the inputs. This does not matter
|
|
|
|
for MUL16 because the high bits are ignored. */
|
|
|
|
extui a2, a2, 0, 16
|
|
|
|
extui a3, a3, 0, 16
|
|
|
|
#endif
|
|
|
|
#endif /* MUL16 || MUL32 */
|
|
|
|
|
|
|
|
|
|
|
|
#if XCHAL_HAVE_MUL16
|
|
|
|
|
|
|
|
#define do_mul(dst, xreg, xhalf, yreg, yhalf) \
|
|
|
|
mul16u dst, xreg ## xhalf, yreg ## yhalf
|
|
|
|
|
|
|
|
#elif XCHAL_HAVE_MUL32
|
|
|
|
|
|
|
|
#define do_mul(dst, xreg, xhalf, yreg, yhalf) \
|
|
|
|
mull dst, xreg ## xhalf, yreg ## yhalf
|
|
|
|
|
|
|
|
#elif XCHAL_HAVE_MAC16
|
|
|
|
|
|
|
|
/* The preprocessor insists on inserting a space when concatenating after
|
|
|
|
a period in the definition of do_mul below. These macros are a workaround
|
|
|
|
using underscores instead of periods when doing the concatenation. */
|
|
|
|
#define umul_aa_ll umul.aa.ll
|
|
|
|
#define umul_aa_lh umul.aa.lh
|
|
|
|
#define umul_aa_hl umul.aa.hl
|
|
|
|
#define umul_aa_hh umul.aa.hh
|
|
|
|
|
|
|
|
#define do_mul(dst, xreg, xhalf, yreg, yhalf) \
|
|
|
|
umul_aa_ ## xhalf ## yhalf xreg, yreg; \
|
|
|
|
rsr dst, ACCLO
|
|
|
|
|
|
|
|
#else /* no multiply hardware */
|
|
|
|
|
|
|
|
#define set_arg_l(dst, src) \
|
|
|
|
extui dst, src, 0, 16
|
|
|
|
#define set_arg_h(dst, src) \
|
|
|
|
srli dst, src, 16
|
|
|
|
|
|
|
|
#if __XTENSA_CALL0_ABI__
|
|
|
|
#define do_mul(dst, xreg, xhalf, yreg, yhalf) \
|
|
|
|
set_arg_ ## xhalf (a13, xreg); \
|
|
|
|
set_arg_ ## yhalf (a14, yreg); \
|
|
|
|
call0 .Lmul_mulsi3; \
|
|
|
|
mov dst, a12
|
|
|
|
#else
|
|
|
|
#define do_mul(dst, xreg, xhalf, yreg, yhalf) \
|
|
|
|
set_arg_ ## xhalf (a14, xreg); \
|
|
|
|
set_arg_ ## yhalf (a15, yreg); \
|
|
|
|
call12 .Lmul_mulsi3; \
|
|
|
|
mov dst, a14
|
|
|
|
#endif /* __XTENSA_CALL0_ABI__ */
|
|
|
|
|
|
|
|
#endif /* no multiply hardware */
|
|
|
|
|
|
|
|
/* Add pp1 and pp2 into a6 with carry-out in a9. */
|
|
|
|
do_mul(a6, a2, l, a3, h) /* pp 1 */
|
|
|
|
do_mul(a11, a2, h, a3, l) /* pp 2 */
|
|
|
|
movi a9, 0
|
|
|
|
add a6, a6, a11
|
|
|
|
bgeu a6, a11, 1f
|
|
|
|
addi a9, a9, 1
|
|
|
|
1:
|
|
|
|
/* Shift the high half of a9/a6 into position in a9. Note that
|
|
|
|
this value can be safely incremented without any carry-outs. */
|
|
|
|
ssai 16
|
|
|
|
src a9, a9, a6
|
|
|
|
|
|
|
|
/* Compute the low word into a6. */
|
|
|
|
do_mul(a11, a2, l, a3, l) /* pp 0 */
|
|
|
|
sll a6, a6
|
|
|
|
add a6, a6, a11
|
|
|
|
bgeu a6, a11, 1f
|
|
|
|
addi a9, a9, 1
|
|
|
|
1:
|
|
|
|
/* Compute the high word into a2. */
|
|
|
|
do_mul(a2, a2, h, a3, h) /* pp 3 */
|
|
|
|
add a2, a2, a9
|
|
|
|
|
|
|
|
#if __XTENSA_CALL0_ABI__ && XCHAL_NO_MUL
|
|
|
|
/* Restore values saved on the stack during the multiplication. */
|
|
|
|
l32i a0, sp, 0
|
|
|
|
l32i a8, sp, 4
|
|
|
|
#endif
|
|
|
|
#endif /* ! XCHAL_HAVE_MUL32_HIGH */
|
|
|
|
|
|
|
|
/* Shift left by 9 bits, unless there was a carry-out from the
|
|
|
|
multiply, in which case, shift by 8 bits and increment the
|
|
|
|
exponent. */
|
|
|
|
movi a4, 9
|
|
|
|
srli a5, a2, 24 - 9
|
|
|
|
beqz a5, 1f
|
|
|
|
addi a4, a4, -1
|
|
|
|
addi a8, a8, 1
|
|
|
|
1: ssl a4
|
|
|
|
src a2, a2, a6
|
|
|
|
sll a6, a6
|
|
|
|
|
|
|
|
/* Subtract the extra bias from the exponent sum (plus one to account
|
|
|
|
for the explicit "1.0" of the mantissa that will be added to the
|
|
|
|
exponent in the final result). */
|
|
|
|
movi a4, 0x80
|
|
|
|
sub a8, a8, a4
|
|
|
|
|
|
|
|
/* Check for over/underflow. The value in a8 is one less than the
|
|
|
|
final exponent, so values in the range 0..fd are OK here. */
|
|
|
|
movi a4, 0xfe
|
|
|
|
bgeu a8, a4, .Lmul_overflow
|
|
|
|
|
|
|
|
.Lmul_round:
|
|
|
|
/* Round. */
|
|
|
|
bgez a6, .Lmul_rounded
|
|
|
|
addi a2, a2, 1
|
|
|
|
slli a6, a6, 1
|
|
|
|
beqz a6, .Lmul_exactlyhalf
|
|
|
|
|
|
|
|
.Lmul_rounded:
|
|
|
|
/* Add the exponent to the mantissa. */
|
|
|
|
slli a8, a8, 23
|
|
|
|
add a2, a2, a8
|
|
|
|
|
|
|
|
.Lmul_addsign:
|
|
|
|
/* Add the sign bit. */
|
|
|
|
srli a7, a7, 31
|
|
|
|
slli a7, a7, 31
|
|
|
|
or a2, a2, a7
|
|
|
|
|
|
|
|
.Lmul_done:
|
|
|
|
#if __XTENSA_CALL0_ABI__
|
|
|
|
l32i a12, sp, 16
|
|
|
|
l32i a13, sp, 20
|
|
|
|
l32i a14, sp, 24
|
|
|
|
l32i a15, sp, 28
|
|
|
|
addi sp, sp, 32
|
|
|
|
#endif
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
.Lmul_exactlyhalf:
|
|
|
|
/* Round down to the nearest even value. */
|
|
|
|
srli a2, a2, 1
|
|
|
|
slli a2, a2, 1
|
|
|
|
j .Lmul_rounded
|
|
|
|
|
|
|
|
.Lmul_overflow:
|
|
|
|
bltz a8, .Lmul_underflow
|
|
|
|
/* Return +/- Infinity. */
|
|
|
|
movi a8, 0xff
|
|
|
|
slli a2, a8, 23
|
|
|
|
j .Lmul_addsign
|
|
|
|
|
|
|
|
.Lmul_underflow:
|
|
|
|
/* Create a subnormal value, where the exponent field contains zero,
|
|
|
|
but the effective exponent is 1. The value of a8 is one less than
|
|
|
|
the actual exponent, so just negate it to get the shift amount. */
|
|
|
|
neg a8, a8
|
|
|
|
mov a9, a6
|
|
|
|
ssr a8
|
|
|
|
bgeui a8, 32, .Lmul_flush_to_zero
|
|
|
|
|
|
|
|
/* Shift a2 right. Any bits that are shifted out of a2 are saved
|
|
|
|
in a6 (combined with the shifted-out bits currently in a6) for
|
|
|
|
rounding the result. */
|
|
|
|
sll a6, a2
|
|
|
|
srl a2, a2
|
|
|
|
|
|
|
|
/* Set the exponent to zero. */
|
|
|
|
movi a8, 0
|
|
|
|
|
|
|
|
/* Pack any nonzero bits shifted out into a6. */
|
|
|
|
beqz a9, .Lmul_round
|
|
|
|
movi a9, 1
|
|
|
|
or a6, a6, a9
|
|
|
|
j .Lmul_round
|
|
|
|
|
|
|
|
.Lmul_flush_to_zero:
|
|
|
|
/* Return zero with the appropriate sign bit. */
|
|
|
|
srli a2, a7, 31
|
|
|
|
slli a2, a2, 31
|
|
|
|
j .Lmul_done
|
|
|
|
|
|
|
|
#if XCHAL_NO_MUL
|
|
|
|
|
|
|
|
/* For Xtensa processors with no multiply hardware, this simplified
|
|
|
|
version of _mulsi3 is used for multiplying 16-bit chunks of
|
|
|
|
the floating-point mantissas. When using CALL0, this function
|
|
|
|
uses a custom ABI: the inputs are passed in a13 and a14, the
|
|
|
|
result is returned in a12, and a8 and a15 are clobbered. */
|
|
|
|
.align 4
|
|
|
|
.Lmul_mulsi3:
|
|
|
|
leaf_entry sp, 16
|
|
|
|
.macro mul_mulsi3_body dst, src1, src2, tmp1, tmp2
|
|
|
|
movi \dst, 0
|
|
|
|
1: add \tmp1, \src2, \dst
|
|
|
|
extui \tmp2, \src1, 0, 1
|
|
|
|
movnez \dst, \tmp1, \tmp2
|
|
|
|
|
|
|
|
do_addx2 \tmp1, \src2, \dst, \tmp1
|
|
|
|
extui \tmp2, \src1, 1, 1
|
|
|
|
movnez \dst, \tmp1, \tmp2
|
|
|
|
|
|
|
|
do_addx4 \tmp1, \src2, \dst, \tmp1
|
|
|
|
extui \tmp2, \src1, 2, 1
|
|
|
|
movnez \dst, \tmp1, \tmp2
|
|
|
|
|
|
|
|
do_addx8 \tmp1, \src2, \dst, \tmp1
|
|
|
|
extui \tmp2, \src1, 3, 1
|
|
|
|
movnez \dst, \tmp1, \tmp2
|
|
|
|
|
|
|
|
srli \src1, \src1, 4
|
|
|
|
slli \src2, \src2, 4
|
|
|
|
bnez \src1, 1b
|
|
|
|
.endm
|
|
|
|
#if __XTENSA_CALL0_ABI__
|
|
|
|
mul_mulsi3_body a12, a13, a14, a15, a8
|
|
|
|
#else
|
|
|
|
/* The result will be written into a2, so save that argument in a4. */
|
|
|
|
mov a4, a2
|
|
|
|
mul_mulsi3_body a2, a4, a3, a5, a6
|
|
|
|
#endif
|
|
|
|
leaf_return
|
|
|
|
#endif /* XCHAL_NO_MUL */
|
|
|
|
#endif /* L_mulsf3 */
|
|
|
|
|
|
|
|
#ifdef L_divsf3
|
|
|
|
|
|
|
|
/* Division */
|
|
|
|
__divsf3_aux:
|
|
|
|
|
|
|
|
/* Handle unusual cases (zeros, subnormals, NaNs and Infinities).
|
|
|
|
(This code is placed before the start of the function just to
|
|
|
|
keep it in range of the limited branch displacements.) */
|
|
|
|
|
|
|
|
.Ldiv_yexpzero:
|
|
|
|
/* Clear the sign bit of y. */
|
|
|
|
slli a3, a3, 1
|
|
|
|
srli a3, a3, 1
|
|
|
|
|
|
|
|
/* Check for division by zero. */
|
|
|
|
beqz a3, .Ldiv_yzero
|
|
|
|
|
|
|
|
/* Normalize y. Adjust the exponent in a9. */
|
|
|
|
do_nsau a10, a3, a4, a5
|
|
|
|
addi a10, a10, -8
|
|
|
|
ssl a10
|
|
|
|
sll a3, a3
|
|
|
|
movi a9, 1
|
|
|
|
sub a9, a9, a10
|
|
|
|
j .Ldiv_ynormalized
|
|
|
|
|
|
|
|
.Ldiv_yzero:
|
|
|
|
/* y is zero. Return NaN if x is also zero; otherwise, infinity. */
|
|
|
|
slli a4, a2, 1
|
|
|
|
srli a4, a4, 1
|
|
|
|
srli a2, a7, 31
|
|
|
|
slli a2, a2, 31
|
|
|
|
or a2, a2, a6
|
|
|
|
bnez a4, 1f
|
|
|
|
movi a4, 0x400000 /* make it a quiet NaN */
|
|
|
|
or a2, a2, a4
|
|
|
|
1: leaf_return
|
|
|
|
|
|
|
|
.Ldiv_xexpzero:
|
|
|
|
/* Clear the sign bit of x. */
|
|
|
|
slli a2, a2, 1
|
|
|
|
srli a2, a2, 1
|
|
|
|
|
|
|
|
/* If x is zero, return zero. */
|
|
|
|
beqz a2, .Ldiv_return_zero
|
|
|
|
|
|
|
|
/* Normalize x. Adjust the exponent in a8. */
|
|
|
|
do_nsau a10, a2, a4, a5
|
|
|
|
addi a10, a10, -8
|
|
|
|
ssl a10
|
|
|
|
sll a2, a2
|
|
|
|
movi a8, 1
|
|
|
|
sub a8, a8, a10
|
|
|
|
j .Ldiv_xnormalized
|
|
|
|
|
|
|
|
.Ldiv_return_zero:
|
|
|
|
/* Return zero with the appropriate sign bit. */
|
|
|
|
srli a2, a7, 31
|
|
|
|
slli a2, a2, 31
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
.Ldiv_xnan_or_inf:
|
|
|
|
/* Set the sign bit of the result. */
|
|
|
|
srli a7, a3, 31
|
|
|
|
slli a7, a7, 31
|
|
|
|
xor a2, a2, a7
|
|
|
|
/* If y is NaN or Inf, return NaN. */
|
|
|
|
bnall a3, a6, 1f
|
|
|
|
movi a4, 0x400000 /* make it a quiet NaN */
|
|
|
|
or a2, a2, a4
|
|
|
|
1: leaf_return
|
|
|
|
|
|
|
|
.Ldiv_ynan_or_inf:
|
|
|
|
/* If y is Infinity, return zero. */
|
|
|
|
slli a8, a3, 9
|
|
|
|
beqz a8, .Ldiv_return_zero
|
|
|
|
/* y is NaN; return it. */
|
|
|
|
mov a2, a3
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
.align 4
|
|
|
|
.global __divsf3
|
|
|
|
.type __divsf3, @function
|
|
|
|
__divsf3:
|
|
|
|
leaf_entry sp, 16
|
|
|
|
movi a6, 0x7f800000
|
|
|
|
|
|
|
|
/* Get the sign of the result. */
|
|
|
|
xor a7, a2, a3
|
|
|
|
|
|
|
|
/* Check for NaN and infinity. */
|
|
|
|
ball a2, a6, .Ldiv_xnan_or_inf
|
|
|
|
ball a3, a6, .Ldiv_ynan_or_inf
|
|
|
|
|
|
|
|
/* Extract the exponents. */
|
|
|
|
extui a8, a2, 23, 8
|
|
|
|
extui a9, a3, 23, 8
|
|
|
|
|
|
|
|
beqz a9, .Ldiv_yexpzero
|
|
|
|
.Ldiv_ynormalized:
|
|
|
|
beqz a8, .Ldiv_xexpzero
|
|
|
|
.Ldiv_xnormalized:
|
|
|
|
|
|
|
|
/* Subtract the exponents. */
|
|
|
|
sub a8, a8, a9
|
|
|
|
|
|
|
|
/* Replace sign/exponent fields with explicit "1.0". */
|
|
|
|
movi a10, 0xffffff
|
|
|
|
or a2, a2, a6
|
|
|
|
and a2, a2, a10
|
|
|
|
or a3, a3, a6
|
|
|
|
and a3, a3, a10
|
|
|
|
|
|
|
|
/* The first digit of the mantissa division must be a one.
|
|
|
|
Shift x (and adjust the exponent) as needed to make this true. */
|
|
|
|
bltu a3, a2, 1f
|
|
|
|
slli a2, a2, 1
|
|
|
|
addi a8, a8, -1
|
|
|
|
1:
|
|
|
|
/* Do the first subtraction and shift. */
|
|
|
|
sub a2, a2, a3
|
|
|
|
slli a2, a2, 1
|
|
|
|
|
|
|
|
/* Put the quotient into a10. */
|
|
|
|
movi a10, 1
|
|
|
|
|
|
|
|
/* Divide one bit at a time for 23 bits. */
|
|
|
|
movi a9, 23
|
|
|
|
#if XCHAL_HAVE_LOOPS
|
|
|
|
loop a9, .Ldiv_loopend
|
|
|
|
#endif
|
|
|
|
.Ldiv_loop:
|
|
|
|
/* Shift the quotient << 1. */
|
|
|
|
slli a10, a10, 1
|
|
|
|
|
|
|
|
/* Is this digit a 0 or 1? */
|
|
|
|
bltu a2, a3, 1f
|
|
|
|
|
|
|
|
/* Output a 1 and subtract. */
|
|
|
|
addi a10, a10, 1
|
|
|
|
sub a2, a2, a3
|
|
|
|
|
|
|
|
/* Shift the dividend << 1. */
|
|
|
|
1: slli a2, a2, 1
|
|
|
|
|
|
|
|
#if !XCHAL_HAVE_LOOPS
|
|
|
|
addi a9, a9, -1
|
|
|
|
bnez a9, .Ldiv_loop
|
|
|
|
#endif
|
|
|
|
.Ldiv_loopend:
|
|
|
|
|
|
|
|
/* Add the exponent bias (less one to account for the explicit "1.0"
|
|
|
|
of the mantissa that will be added to the exponent in the final
|
|
|
|
result). */
|
|
|
|
addi a8, a8, 0x7e
|
|
|
|
|
|
|
|
/* Check for over/underflow. The value in a8 is one less than the
|
|
|
|
final exponent, so values in the range 0..fd are OK here. */
|
|
|
|
movi a4, 0xfe
|
|
|
|
bgeu a8, a4, .Ldiv_overflow
|
|
|
|
|
|
|
|
.Ldiv_round:
|
|
|
|
/* Round. The remainder (<< 1) is in a2. */
|
|
|
|
bltu a2, a3, .Ldiv_rounded
|
|
|
|
addi a10, a10, 1
|
|
|
|
beq a2, a3, .Ldiv_exactlyhalf
|
|
|
|
|
|
|
|
.Ldiv_rounded:
|
|
|
|
/* Add the exponent to the mantissa. */
|
|
|
|
slli a8, a8, 23
|
|
|
|
add a2, a10, a8
|
|
|
|
|
|
|
|
.Ldiv_addsign:
|
|
|
|
/* Add the sign bit. */
|
|
|
|
srli a7, a7, 31
|
|
|
|
slli a7, a7, 31
|
|
|
|
or a2, a2, a7
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
.Ldiv_overflow:
|
|
|
|
bltz a8, .Ldiv_underflow
|
|
|
|
/* Return +/- Infinity. */
|
|
|
|
addi a8, a4, 1 /* 0xff */
|
|
|
|
slli a2, a8, 23
|
|
|
|
j .Ldiv_addsign
|
|
|
|
|
|
|
|
.Ldiv_exactlyhalf:
|
|
|
|
/* Remainder is exactly half the divisor. Round even. */
|
|
|
|
srli a10, a10, 1
|
|
|
|
slli a10, a10, 1
|
|
|
|
j .Ldiv_rounded
|
|
|
|
|
|
|
|
.Ldiv_underflow:
|
|
|
|
/* Create a subnormal value, where the exponent field contains zero,
|
|
|
|
but the effective exponent is 1. The value of a8 is one less than
|
|
|
|
the actual exponent, so just negate it to get the shift amount. */
|
|
|
|
neg a8, a8
|
|
|
|
ssr a8
|
|
|
|
bgeui a8, 32, .Ldiv_flush_to_zero
|
|
|
|
|
|
|
|
/* Shift a10 right. Any bits that are shifted out of a10 are
|
|
|
|
saved in a6 for rounding the result. */
|
|
|
|
sll a6, a10
|
|
|
|
srl a10, a10
|
|
|
|
|
|
|
|
/* Set the exponent to zero. */
|
|
|
|
movi a8, 0
|
|
|
|
|
|
|
|
/* Pack any nonzero remainder (in a2) into a6. */
|
|
|
|
beqz a2, 1f
|
|
|
|
movi a9, 1
|
|
|
|
or a6, a6, a9
|
|
|
|
|
|
|
|
/* Round a10 based on the bits shifted out into a6. */
|
|
|
|
1: bgez a6, .Ldiv_rounded
|
|
|
|
addi a10, a10, 1
|
|
|
|
slli a6, a6, 1
|
|
|
|
bnez a6, .Ldiv_rounded
|
|
|
|
srli a10, a10, 1
|
|
|
|
slli a10, a10, 1
|
|
|
|
j .Ldiv_rounded
|
|
|
|
|
|
|
|
.Ldiv_flush_to_zero:
|
|
|
|
/* Return zero with the appropriate sign bit. */
|
|
|
|
srli a2, a7, 31
|
|
|
|
slli a2, a2, 31
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
#endif /* L_divsf3 */
|
|
|
|
|
|
|
|
#ifdef L_cmpsf2
|
|
|
|
|
|
|
|
/* Equal and Not Equal */
|
|
|
|
|
|
|
|
.align 4
|
|
|
|
.global __eqsf2
|
|
|
|
.global __nesf2
|
|
|
|
.set __nesf2, __eqsf2
|
|
|
|
.type __eqsf2, @function
|
|
|
|
__eqsf2:
|
|
|
|
leaf_entry sp, 16
|
|
|
|
bne a2, a3, 4f
|
|
|
|
|
|
|
|
/* The values are equal but NaN != NaN. Check the exponent. */
|
|
|
|
movi a6, 0x7f800000
|
|
|
|
ball a2, a6, 3f
|
|
|
|
|
|
|
|
/* Equal. */
|
|
|
|
movi a2, 0
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
/* Not equal. */
|
|
|
|
2: movi a2, 1
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
/* Check if the mantissas are nonzero. */
|
|
|
|
3: slli a7, a2, 9
|
|
|
|
j 5f
|
|
|
|
|
|
|
|
/* Check if x and y are zero with different signs. */
|
|
|
|
4: or a7, a2, a3
|
|
|
|
slli a7, a7, 1
|
|
|
|
|
|
|
|
/* Equal if a7 == 0, where a7 is either abs(x | y) or the mantissa
|
|
|
|
or x when exponent(x) = 0x7f8 and x == y. */
|
|
|
|
5: movi a2, 0
|
|
|
|
movi a3, 1
|
|
|
|
movnez a2, a3, a7
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
|
|
|
|
/* Greater Than */
|
|
|
|
|
|
|
|
.align 4
|
|
|
|
.global __gtsf2
|
|
|
|
.type __gtsf2, @function
|
|
|
|
__gtsf2:
|
|
|
|
leaf_entry sp, 16
|
|
|
|
movi a6, 0x7f800000
|
|
|
|
ball a2, a6, 2f
|
|
|
|
1: bnall a3, a6, .Lle_cmp
|
|
|
|
|
|
|
|
/* Check if y is a NaN. */
|
|
|
|
slli a7, a3, 9
|
|
|
|
beqz a7, .Lle_cmp
|
|
|
|
movi a2, 0
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
/* Check if x is a NaN. */
|
|
|
|
2: slli a7, a2, 9
|
|
|
|
beqz a7, 1b
|
|
|
|
movi a2, 0
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
|
|
|
|
/* Less Than or Equal */
|
|
|
|
|
|
|
|
.align 4
|
|
|
|
.global __lesf2
|
|
|
|
.type __lesf2, @function
|
|
|
|
__lesf2:
|
|
|
|
leaf_entry sp, 16
|
|
|
|
movi a6, 0x7f800000
|
|
|
|
ball a2, a6, 2f
|
|
|
|
1: bnall a3, a6, .Lle_cmp
|
|
|
|
|
|
|
|
/* Check if y is a NaN. */
|
|
|
|
slli a7, a3, 9
|
|
|
|
beqz a7, .Lle_cmp
|
|
|
|
movi a2, 1
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
/* Check if x is a NaN. */
|
|
|
|
2: slli a7, a2, 9
|
|
|
|
beqz a7, 1b
|
|
|
|
movi a2, 1
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
.Lle_cmp:
|
|
|
|
/* Check if x and y have different signs. */
|
|
|
|
xor a7, a2, a3
|
|
|
|
bltz a7, .Lle_diff_signs
|
|
|
|
|
|
|
|
/* Check if x is negative. */
|
|
|
|
bltz a2, .Lle_xneg
|
|
|
|
|
|
|
|
/* Check if x <= y. */
|
|
|
|
bltu a3, a2, 5f
|
|
|
|
4: movi a2, 0
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
.Lle_xneg:
|
|
|
|
/* Check if y <= x. */
|
|
|
|
bgeu a2, a3, 4b
|
|
|
|
5: movi a2, 1
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
.Lle_diff_signs:
|
|
|
|
bltz a2, 4b
|
|
|
|
|
|
|
|
/* Check if both x and y are zero. */
|
|
|
|
or a7, a2, a3
|
|
|
|
slli a7, a7, 1
|
|
|
|
movi a2, 1
|
|
|
|
movi a3, 0
|
|
|
|
moveqz a2, a3, a7
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
|
|
|
|
/* Greater Than or Equal */
|
|
|
|
|
|
|
|
.align 4
|
|
|
|
.global __gesf2
|
|
|
|
.type __gesf2, @function
|
|
|
|
__gesf2:
|
|
|
|
leaf_entry sp, 16
|
|
|
|
movi a6, 0x7f800000
|
|
|
|
ball a2, a6, 2f
|
|
|
|
1: bnall a3, a6, .Llt_cmp
|
|
|
|
|
|
|
|
/* Check if y is a NaN. */
|
|
|
|
slli a7, a3, 9
|
|
|
|
beqz a7, .Llt_cmp
|
|
|
|
movi a2, -1
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
/* Check if x is a NaN. */
|
|
|
|
2: slli a7, a2, 9
|
|
|
|
beqz a7, 1b
|
|
|
|
movi a2, -1
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
|
|
|
|
/* Less Than */
|
|
|
|
|
|
|
|
.align 4
|
|
|
|
.global __ltsf2
|
|
|
|
.type __ltsf2, @function
|
|
|
|
__ltsf2:
|
|
|
|
leaf_entry sp, 16
|
|
|
|
movi a6, 0x7f800000
|
|
|
|
ball a2, a6, 2f
|
|
|
|
1: bnall a3, a6, .Llt_cmp
|
|
|
|
|
|
|
|
/* Check if y is a NaN. */
|
|
|
|
slli a7, a3, 9
|
|
|
|
beqz a7, .Llt_cmp
|
|
|
|
movi a2, 0
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
/* Check if x is a NaN. */
|
|
|
|
2: slli a7, a2, 9
|
|
|
|
beqz a7, 1b
|
|
|
|
movi a2, 0
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
.Llt_cmp:
|
|
|
|
/* Check if x and y have different signs. */
|
|
|
|
xor a7, a2, a3
|
|
|
|
bltz a7, .Llt_diff_signs
|
|
|
|
|
|
|
|
/* Check if x is negative. */
|
|
|
|
bltz a2, .Llt_xneg
|
|
|
|
|
|
|
|
/* Check if x < y. */
|
|
|
|
bgeu a2, a3, 5f
|
|
|
|
4: movi a2, -1
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
.Llt_xneg:
|
|
|
|
/* Check if y < x. */
|
|
|
|
bltu a3, a2, 4b
|
|
|
|
5: movi a2, 0
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
.Llt_diff_signs:
|
|
|
|
bgez a2, 5b
|
|
|
|
|
|
|
|
/* Check if both x and y are nonzero. */
|
|
|
|
or a7, a2, a3
|
|
|
|
slli a7, a7, 1
|
|
|
|
movi a2, 0
|
|
|
|
movi a3, -1
|
|
|
|
movnez a2, a3, a7
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
|
|
|
|
/* Unordered */
|
|
|
|
|
|
|
|
.align 4
|
|
|
|
.global __unordsf2
|
|
|
|
.type __unordsf2, @function
|
|
|
|
__unordsf2:
|
|
|
|
leaf_entry sp, 16
|
|
|
|
movi a6, 0x7f800000
|
|
|
|
ball a2, a6, 3f
|
|
|
|
1: ball a3, a6, 4f
|
|
|
|
2: movi a2, 0
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
3: slli a7, a2, 9
|
|
|
|
beqz a7, 1b
|
|
|
|
movi a2, 1
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
4: slli a7, a3, 9
|
|
|
|
beqz a7, 2b
|
|
|
|
movi a2, 1
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
#endif /* L_cmpsf2 */
|
|
|
|
|
|
|
|
#ifdef L_fixsfsi
|
|
|
|
|
|
|
|
.align 4
|
|
|
|
.global __fixsfsi
|
|
|
|
.type __fixsfsi, @function
|
|
|
|
__fixsfsi:
|
|
|
|
leaf_entry sp, 16
|
|
|
|
|
|
|
|
/* Check for NaN and Infinity. */
|
|
|
|
movi a6, 0x7f800000
|
|
|
|
ball a2, a6, .Lfixsfsi_nan_or_inf
|
|
|
|
|
|
|
|
/* Extract the exponent and check if 0 < (exp - 0x7e) < 32. */
|
|
|
|
extui a4, a2, 23, 8
|
|
|
|
addi a4, a4, -0x7e
|
|
|
|
bgei a4, 32, .Lfixsfsi_maxint
|
|
|
|
blti a4, 1, .Lfixsfsi_zero
|
|
|
|
|
|
|
|
/* Add explicit "1.0" and shift << 8. */
|
|
|
|
or a7, a2, a6
|
|
|
|
slli a5, a7, 8
|
|
|
|
|
|
|
|
/* Shift back to the right, based on the exponent. */
|
|
|
|
ssl a4 /* shift by 32 - a4 */
|
|
|
|
srl a5, a5
|
|
|
|
|
|
|
|
/* Negate the result if sign != 0. */
|
|
|
|
neg a2, a5
|
|
|
|
movgez a2, a5, a7
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
.Lfixsfsi_nan_or_inf:
|
|
|
|
/* Handle Infinity and NaN. */
|
|
|
|
slli a4, a2, 9
|
|
|
|
beqz a4, .Lfixsfsi_maxint
|
|
|
|
|
|
|
|
/* Translate NaN to +maxint. */
|
|
|
|
movi a2, 0
|
|
|
|
|
|
|
|
.Lfixsfsi_maxint:
|
|
|
|
slli a4, a6, 8 /* 0x80000000 */
|
|
|
|
addi a5, a4, -1 /* 0x7fffffff */
|
|
|
|
movgez a4, a5, a2
|
|
|
|
mov a2, a4
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
.Lfixsfsi_zero:
|
|
|
|
movi a2, 0
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
#endif /* L_fixsfsi */
|
|
|
|
|
|
|
|
#ifdef L_fixsfdi
|
|
|
|
|
|
|
|
.align 4
|
|
|
|
.global __fixsfdi
|
|
|
|
.type __fixsfdi, @function
|
|
|
|
__fixsfdi:
|
|
|
|
leaf_entry sp, 16
|
|
|
|
|
|
|
|
/* Check for NaN and Infinity. */
|
|
|
|
movi a6, 0x7f800000
|
|
|
|
ball a2, a6, .Lfixsfdi_nan_or_inf
|
|
|
|
|
|
|
|
/* Extract the exponent and check if 0 < (exp - 0x7e) < 64. */
|
|
|
|
extui a4, a2, 23, 8
|
|
|
|
addi a4, a4, -0x7e
|
|
|
|
bgei a4, 64, .Lfixsfdi_maxint
|
|
|
|
blti a4, 1, .Lfixsfdi_zero
|
|
|
|
|
|
|
|
/* Add explicit "1.0" and shift << 8. */
|
|
|
|
or a7, a2, a6
|
|
|
|
slli xh, a7, 8
|
|
|
|
|
|
|
|
/* Shift back to the right, based on the exponent. */
|
|
|
|
ssl a4 /* shift by 64 - a4 */
|
|
|
|
bgei a4, 32, .Lfixsfdi_smallshift
|
|
|
|
srl xl, xh
|
|
|
|
movi xh, 0
|
|
|
|
|
|
|
|
.Lfixsfdi_shifted:
|
|
|
|
/* Negate the result if sign != 0. */
|
|
|
|
bgez a7, 1f
|
|
|
|
neg xl, xl
|
|
|
|
neg xh, xh
|
|
|
|
beqz xl, 1f
|
|
|
|
addi xh, xh, -1
|
|
|
|
1: leaf_return
|
|
|
|
|
|
|
|
.Lfixsfdi_smallshift:
|
|
|
|
movi xl, 0
|
|
|
|
sll xl, xh
|
|
|
|
srl xh, xh
|
|
|
|
j .Lfixsfdi_shifted
|
|
|
|
|
|
|
|
.Lfixsfdi_nan_or_inf:
|
|
|
|
/* Handle Infinity and NaN. */
|
|
|
|
slli a4, a2, 9
|
|
|
|
beqz a4, .Lfixsfdi_maxint
|
|
|
|
|
|
|
|
/* Translate NaN to +maxint. */
|
|
|
|
movi a2, 0
|
|
|
|
|
|
|
|
.Lfixsfdi_maxint:
|
|
|
|
slli a7, a6, 8 /* 0x80000000 */
|
|
|
|
bgez a2, 1f
|
|
|
|
mov xh, a7
|
|
|
|
movi xl, 0
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
1: addi xh, a7, -1 /* 0x7fffffff */
|
|
|
|
movi xl, -1
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
.Lfixsfdi_zero:
|
|
|
|
movi xh, 0
|
|
|
|
movi xl, 0
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
#endif /* L_fixsfdi */
|
|
|
|
|
|
|
|
#ifdef L_fixunssfsi
|
|
|
|
|
|
|
|
.align 4
|
|
|
|
.global __fixunssfsi
|
|
|
|
.type __fixunssfsi, @function
|
|
|
|
__fixunssfsi:
|
|
|
|
leaf_entry sp, 16
|
|
|
|
|
|
|
|
/* Check for NaN and Infinity. */
|
|
|
|
movi a6, 0x7f800000
|
|
|
|
ball a2, a6, .Lfixunssfsi_nan_or_inf
|
|
|
|
|
|
|
|
/* Extract the exponent and check if 0 <= (exp - 0x7f) < 32. */
|
|
|
|
extui a4, a2, 23, 8
|
|
|
|
addi a4, a4, -0x7f
|
|
|
|
bgei a4, 32, .Lfixunssfsi_maxint
|
|
|
|
bltz a4, .Lfixunssfsi_zero
|
|
|
|
|
|
|
|
/* Add explicit "1.0" and shift << 8. */
|
|
|
|
or a7, a2, a6
|
|
|
|
slli a5, a7, 8
|
|
|
|
|
|
|
|
/* Shift back to the right, based on the exponent. */
|
|
|
|
addi a4, a4, 1
|
|
|
|
beqi a4, 32, .Lfixunssfsi_bigexp
|
|
|
|
ssl a4 /* shift by 32 - a4 */
|
|
|
|
srl a5, a5
|
|
|
|
|
|
|
|
/* Negate the result if sign != 0. */
|
|
|
|
neg a2, a5
|
|
|
|
movgez a2, a5, a7
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
.Lfixunssfsi_nan_or_inf:
|
|
|
|
/* Handle Infinity and NaN. */
|
|
|
|
slli a4, a2, 9
|
|
|
|
beqz a4, .Lfixunssfsi_maxint
|
|
|
|
|
|
|
|
/* Translate NaN to 0xffffffff. */
|
|
|
|
movi a2, -1
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
.Lfixunssfsi_maxint:
|
|
|
|
slli a4, a6, 8 /* 0x80000000 */
|
|
|
|
movi a5, -1 /* 0xffffffff */
|
|
|
|
movgez a4, a5, a2
|
|
|
|
mov a2, a4
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
.Lfixunssfsi_zero:
|
|
|
|
movi a2, 0
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
.Lfixunssfsi_bigexp:
|
|
|
|
/* Handle unsigned maximum exponent case. */
|
|
|
|
bltz a2, 1f
|
|
|
|
mov a2, a5 /* no shift needed */
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
/* Return 0x80000000 if negative. */
|
|
|
|
1: slli a2, a6, 8
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leaf_return
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#endif /* L_fixunssfsi */
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#ifdef L_fixunssfdi
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.align 4
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.global __fixunssfdi
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.type __fixunssfdi, @function
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__fixunssfdi:
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leaf_entry sp, 16
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/* Check for NaN and Infinity. */
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movi a6, 0x7f800000
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ball a2, a6, .Lfixunssfdi_nan_or_inf
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/* Extract the exponent and check if 0 <= (exp - 0x7f) < 64. */
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extui a4, a2, 23, 8
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addi a4, a4, -0x7f
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bgei a4, 64, .Lfixunssfdi_maxint
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bltz a4, .Lfixunssfdi_zero
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/* Add explicit "1.0" and shift << 8. */
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or a7, a2, a6
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slli xh, a7, 8
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/* Shift back to the right, based on the exponent. */
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addi a4, a4, 1
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beqi a4, 64, .Lfixunssfdi_bigexp
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ssl a4 /* shift by 64 - a4 */
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bgei a4, 32, .Lfixunssfdi_smallshift
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srl xl, xh
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movi xh, 0
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.Lfixunssfdi_shifted:
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/* Negate the result if sign != 0. */
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bgez a7, 1f
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neg xl, xl
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neg xh, xh
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beqz xl, 1f
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addi xh, xh, -1
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1: leaf_return
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.Lfixunssfdi_smallshift:
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movi xl, 0
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src xl, xh, xl
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srl xh, xh
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j .Lfixunssfdi_shifted
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.Lfixunssfdi_nan_or_inf:
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/* Handle Infinity and NaN. */
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slli a4, a2, 9
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beqz a4, .Lfixunssfdi_maxint
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/* Translate NaN to 0xffffffff.... */
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1: movi xh, -1
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movi xl, -1
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leaf_return
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.Lfixunssfdi_maxint:
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bgez a2, 1b
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2: slli xh, a6, 8 /* 0x80000000 */
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movi xl, 0
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leaf_return
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.Lfixunssfdi_zero:
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movi xh, 0
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movi xl, 0
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leaf_return
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.Lfixunssfdi_bigexp:
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/* Handle unsigned maximum exponent case. */
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bltz a7, 2b
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movi xl, 0
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leaf_return /* no shift needed */
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#endif /* L_fixunssfdi */
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#ifdef L_floatsisf
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.align 4
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.global __floatunsisf
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.type __floatunsisf, @function
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__floatunsisf:
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leaf_entry sp, 16
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beqz a2, .Lfloatsisf_return
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/* Set the sign to zero and jump to the floatsisf code. */
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movi a7, 0
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j .Lfloatsisf_normalize
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.align 4
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.global __floatsisf
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.type __floatsisf, @function
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__floatsisf:
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leaf_entry sp, 16
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/* Check for zero. */
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beqz a2, .Lfloatsisf_return
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/* Save the sign. */
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extui a7, a2, 31, 1
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/* Get the absolute value. */
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#if XCHAL_HAVE_ABS
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abs a2, a2
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#else
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neg a4, a2
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movltz a2, a4, a2
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#endif
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.Lfloatsisf_normalize:
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/* Normalize with the first 1 bit in the msb. */
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do_nsau a4, a2, a5, a6
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ssl a4
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sll a5, a2
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/* Shift the mantissa into position, with rounding bits in a6. */
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srli a2, a5, 8
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slli a6, a5, (32 - 8)
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/* Set the exponent. */
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movi a5, 0x9d /* 0x7e + 31 */
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sub a5, a5, a4
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slli a5, a5, 23
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add a2, a2, a5
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/* Add the sign. */
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slli a7, a7, 31
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or a2, a2, a7
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/* Round up if the leftover fraction is >= 1/2. */
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bgez a6, .Lfloatsisf_return
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addi a2, a2, 1 /* Overflow to the exponent is OK. */
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/* Check if the leftover fraction is exactly 1/2. */
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slli a6, a6, 1
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beqz a6, .Lfloatsisf_exactlyhalf
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.Lfloatsisf_return:
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leaf_return
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.Lfloatsisf_exactlyhalf:
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/* Round down to the nearest even value. */
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srli a2, a2, 1
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slli a2, a2, 1
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leaf_return
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#endif /* L_floatsisf */
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#ifdef L_floatdisf
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.align 4
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.global __floatundisf
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.type __floatundisf, @function
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__floatundisf:
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leaf_entry sp, 16
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/* Check for zero. */
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or a4, xh, xl
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beqz a4, 2f
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/* Set the sign to zero and jump to the floatdisf code. */
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movi a7, 0
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j .Lfloatdisf_normalize
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.align 4
|
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|
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.global __floatdisf
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|
|
.type __floatdisf, @function
|
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|
|
__floatdisf:
|
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|
leaf_entry sp, 16
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|
/* Check for zero. */
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|
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|
or a4, xh, xl
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beqz a4, 2f
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/* Save the sign. */
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|
extui a7, xh, 31, 1
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/* Get the absolute value. */
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bgez xh, .Lfloatdisf_normalize
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neg xl, xl
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neg xh, xh
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beqz xl, .Lfloatdisf_normalize
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|
addi xh, xh, -1
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|
.Lfloatdisf_normalize:
|
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|
/* Normalize with the first 1 bit in the msb of xh. */
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|
beqz xh, .Lfloatdisf_bigshift
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do_nsau a4, xh, a5, a6
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ssl a4
|
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src xh, xh, xl
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sll xl, xl
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.Lfloatdisf_shifted:
|
|
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|
/* Shift the mantissa into position, with rounding bits in a6. */
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|
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|
ssai 8
|
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|
sll a5, xl
|
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|
src a6, xh, xl
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|
srl xh, xh
|
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|
beqz a5, 1f
|
|
|
|
movi a5, 1
|
|
|
|
or a6, a6, a5
|
|
|
|
1:
|
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|
|
/* Set the exponent. */
|
|
|
|
movi a5, 0xbd /* 0x7e + 63 */
|
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|
|
sub a5, a5, a4
|
|
|
|
slli a5, a5, 23
|
|
|
|
add a2, xh, a5
|
|
|
|
|
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|
|
/* Add the sign. */
|
|
|
|
slli a7, a7, 31
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|
|
|
or a2, a2, a7
|
|
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|
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|
|
/* Round up if the leftover fraction is >= 1/2. */
|
|
|
|
bgez a6, 2f
|
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|
|
addi a2, a2, 1 /* Overflow to the exponent is OK. */
|
|
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|
|
/* Check if the leftover fraction is exactly 1/2. */
|
|
|
|
slli a6, a6, 1
|
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|
|
beqz a6, .Lfloatdisf_exactlyhalf
|
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|
2: leaf_return
|
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|
|
.Lfloatdisf_bigshift:
|
|
|
|
/* xh is zero. Normalize with first 1 bit of xl in the msb of xh. */
|
|
|
|
do_nsau a4, xl, a5, a6
|
|
|
|
ssl a4
|
|
|
|
sll xh, xl
|
|
|
|
movi xl, 0
|
|
|
|
addi a4, a4, 32
|
|
|
|
j .Lfloatdisf_shifted
|
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|
.Lfloatdisf_exactlyhalf:
|
|
|
|
/* Round down to the nearest even value. */
|
|
|
|
srli a2, a2, 1
|
|
|
|
slli a2, a2, 1
|
|
|
|
leaf_return
|
|
|
|
|
|
|
|
#endif /* L_floatdisf */
|