/* s_ceill.S IBM extended format long double version. Copyright (C) 2004, 2006 Free Software Foundation, Inc. This file is part of the GNU C Library. The GNU C Library is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 2.1 of the License, or (at your option) any later version. The GNU C Library is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with the GNU C Library; if not, write to the Free Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA. */ #include #include .section ".toc","aw" .LC0: /* 2**52 */ .tc FD_43300000_0[TC],0x4330000000000000 .section ".text" /* long double [fp1,fp2] ceill (long double x [fp1,fp2]) IEEE 1003.1 ceil function. PowerPC64 long double uses the IBM extended format which is represented two 64-floating point double values. The values are non-overlapping giving an effective precision of 106 bits. The first double contains the high order bits of mantisa and is always ceiled to represent a normal ceiling of long double to double. Since the long double value is sum of the high and low values, the low double normally has the opposite sign to compensate for the this ceiling. For long double there are two cases: 1) |x| < 2**52, all the integer bits are in the high double. ceil the high double and set the low double to -0.0. 2) |x| >= 2**52, ceiling involves both doubles. See the comment before lable .L2 for details. */ ENTRY (__ceill) mffs fp11 /* Save current FPU rounding mode. */ lfd fp13,.LC0@toc(2) fabs fp0,fp1 fabs fp9,fp2 fsub fp12,fp13,fp13 /* generate 0.0 */ fcmpu cr7,fp0,fp13 /* if (fabs(x) > TWO52) */ fcmpo cr6,fp1,fp12 /* if (x > 0.0) */ bnl- cr7,.L2 mtfsfi 7,2 /* Set rounding mode toward +inf. */ fneg fp2,fp12 ble- cr6,.L1 fadd fp1,fp1,fp13 /* x+= TWO52; */ fsub fp1,fp1,fp13 /* x-= TWO52; */ fabs fp1,fp1 /* if (x == 0.0) */ .L0: mtfsf 0x01,fp11 /* restore previous rounding mode. */ blr /* x = 0.0; */ .L1: bge- cr6,.L0 /* if (x < 0.0) */ fsub fp1,fp1,fp13 /* x-= TWO52; */ fadd fp1,fp1,fp13 /* x+= TWO52; */ fcmpu cr5,fp1,fp12 /* if (x > 0.0) */ mtfsf 0x01,fp11 /* restore previous rounding mode. */ fnabs fp1,fp1 /* if (x == 0.0) */ blr /* x = -0.0; */ /* The high double is > TWO52 so we need to round the low double and perhaps the high double. In this case we have to round the low double and handle any adjustment to the high double that may be caused by rounding (up). This is complicated by the fact that the high double may already be rounded and the low double may have the opposite sign to compensate.This gets a bit tricky so we use the following algorithm: tau = floor(x_high/TWO52); x0 = x_high - tau; x1 = x_low + tau; r1 = rint(x1); y_high = x0 + r1; y_low = x0 - y_high + r1; return y; */ .L2: fcmpu cr7,fp9,fp13 /* if (|x_low| > TWO52) */ fcmpu cr0,fp9,fp12 /* || (|x_low| == 0.0) */ fcmpu cr5,fp2,fp12 /* if (x_low > 0.0) */ bgelr- cr7 /* return x; */ beqlr- cr0 mtfsfi 7,2 /* Set rounding mode toward +inf. */ fdiv fp8,fp1,fp13 /* x_high/TWO52 */ bng- cr6,.L6 /* if (x > 0.0) */ fctidz fp0,fp8 fcfid fp8,fp0 /* tau = floor(x_high/TWO52); */ bng cr5,.L4 /* if (x_low > 0.0) */ fmr fp3,fp1 fmr fp4,fp2 b .L5 .L4: /* if (x_low < 0.0) */ fsub fp3,fp1,fp8 /* x0 = x_high - tau; */ fadd fp4,fp2,fp8 /* x1 = x_low + tau; */ .L5: fadd fp5,fp4,fp13 /* r1 = r1 + TWO52; */ fsub fp5,fp5,fp13 /* r1 = r1 - TWO52; */ b .L9 .L6: /* if (x < 0.0) */ fctidz fp0,fp8 fcfid fp8,fp0 /* tau = floor(x_high/TWO52); */ bnl cr5,.L7 /* if (x_low < 0.0) */ fmr fp3,fp1 fmr fp4,fp2 b .L8 .L7: /* if (x_low > 0.0) */ fsub fp3,fp1,fp8 /* x0 = x_high - tau; */ fadd fp4,fp2,fp8 /* x1 = x_low + tau; */ .L8: fsub fp5,fp4,fp13 /* r1-= TWO52; */ fadd fp5,fp5,fp13 /* r1+= TWO52; */ .L9: mtfsf 0x01,fp11 /* restore previous rounding mode. */ fadd fp1,fp3,fp5 /* y_high = x0 + r1; */ fsub fp2,fp3,fp1 /* y_low = x0 - y_high + r1; */ fadd fp2,fp2,fp5 blr END (__ceill) long_double_symbol (libm, __ceill, ceill)