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ibm-long-double-math.patch
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File ibm-long-double-math.patch of Package glibc
2014-03-14 Adhemerval Zanella <azanella@linux.vnet.ibm.com> [BZ #16707] * sysdeps/powerpc/powerpc64/fpu/s_roundl.S: Remove wrong implementation. * math/libm-test.inc (round_test_data): Add more tests. [BZ #16706] * sysdeps/powerpc/powerpc64/fpu/s_nearbyintl.S: Remove wrong implementation. * math/libm-test.inc (nearbyint_test_data): Add more tests. [BZ #16701] * sysdeps/powerpc/powerpc64/fpu/s_ceill.S: Remove wrong implementation. * math/libm-test.inc (ceil_test_data): Add more tests. Index: glibc-2.19/math/libm-test.inc =================================================================== --- glibc-2.19.orig/math/libm-test.inc +++ glibc-2.19/math/libm-test.inc @@ -6000,6 +6000,15 @@ static const struct test_f_f_data ceil_t TEST_f_f (ceil, -72057594037927936.75L, -72057594037927936.0L), TEST_f_f (ceil, -72057594037927937.5L, -72057594037927937.0L), + /* Check cases where first double is a exact integer higher than 2^52 and + the precision is determined by second long double for IBM long double. */ + TEST_f_f (ceil, 34503599627370498.515625L, 34503599627370499.0L), + TEST_f_f (ceil, -34503599627370498.515625L, -34503599627370498.0L), +# if LDBL_MANT_DIG >= 106 + TEST_f_f (ceil, 1192568192774434123539907640624.484375L, 1192568192774434123539907640625.0L), + TEST_f_f (ceil, -1192568192774434123539907640624.484375L, -1192568192774434123539907640624.0L), +# endif + TEST_f_f (ceil, 10141204801825835211973625643007.5L, 10141204801825835211973625643008.0L), TEST_f_f (ceil, 10141204801825835211973625643008.25L, 10141204801825835211973625643009.0L), TEST_f_f (ceil, 10141204801825835211973625643008.5L, 10141204801825835211973625643009.0L), @@ -10495,6 +10504,16 @@ static const struct test_f_f_data nearby TEST_f_f (nearbyint, -562949953421312.75, -562949953421313.0, NO_INEXACT_EXCEPTION), TEST_f_f (nearbyint, -1125899906842624.75, -1125899906842625.0, NO_INEXACT_EXCEPTION), #endif +#ifdef TEST_LDOUBLE + /* Check cases where first double is a exact integer higher than 2^52 and + the precision is determined by second long double for IBM long double. */ + TEST_f_f (nearbyint, 34503599627370498.515625L, 34503599627370499.0L), + TEST_f_f (nearbyint, -34503599627370498.515625L, -34503599627370499.0L), +# if LDBL_MANT_DIG >= 106 + TEST_f_f (nearbyint, 1192568192774434123539907640624.484375L, 1192568192774434123539907640624.0L), + TEST_f_f (nearbyint, -1192568192774434123539907640624.484375L, -1192568192774434123539907640624.0L), +# endif +#endif }; static void @@ -11792,6 +11811,15 @@ static const struct test_f_f_data round_ TEST_f_f (round, -72057594037927936.75L, -72057594037927937.0L), TEST_f_f (round, -72057594037927937.5L, -72057594037927938.0L), + /* Check cases where first double is a exact integer higher than 2^52 and + the precision is determined by second long double for IBM long double. */ + TEST_f_f (round, 34503599627370498.515625L, 34503599627370499.0L), + TEST_f_f (round, -34503599627370498.515625L, -34503599627370499.0L), +# if LDBL_MANT_DIG >= 106 + TEST_f_f (round, 1192568192774434123539907640624.484375L, 1192568192774434123539907640624.0L), + TEST_f_f (round, -1192568192774434123539907640624.484375L, -1192568192774434123539907640624.0L), +# endif + TEST_f_f (round, 10141204801825835211973625643007.5L, 10141204801825835211973625643008.0L), TEST_f_f (round, 10141204801825835211973625643008.25L, 10141204801825835211973625643008.0L), TEST_f_f (round, 10141204801825835211973625643008.5L, 10141204801825835211973625643009.0L), Index: glibc-2.19/sysdeps/powerpc/powerpc64/fpu/s_ceill.S =================================================================== --- glibc-2.19.orig/sysdeps/powerpc/powerpc64/fpu/s_ceill.S +++ /dev/null @@ -1,132 +0,0 @@ -/* s_ceill.S IBM extended format long double version. - Copyright (C) 2004-2014 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, see - <http://www.gnu.org/licenses/>. */ - -#include <sysdep.h> -#include <math_ldbl_opt.h> - - .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 mantissa 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 label .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) */ - fcmpu 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) Index: glibc-2.19/sysdeps/powerpc/powerpc64/fpu/s_nearbyintl.S =================================================================== --- glibc-2.19.orig/sysdeps/powerpc/powerpc64/fpu/s_nearbyintl.S +++ /dev/null @@ -1,113 +0,0 @@ -/* nearbyint long double. - IBM extended format long double version. - Copyright (C) 2004-2014 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, see - <http://www.gnu.org/licenses/>. */ - -#include <sysdep.h> -#include <math_ldbl_opt.h> - - .section ".toc","aw" -.LC0: /* 2**52 */ - .tc FD_43300000_0[TC],0x4330000000000000 - .section ".text" - -/* long double [fp1,fp2] nearbyintl (long double x [fp1,fp2]) - IEEE 1003.1 nearbyintl function. nearbyintl is similar to the rintl - but does raise the "inexact" exception. This implementation is - based on rintl but explicitly masks the inexact exception on entry - and clears any pending inexact before restoring the exception mask - on exit. - - 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 mantissa and is always rounded - to represent a normal rounding 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 rounding. - - For long double there are two cases: - 1) |x| < 2**52, all the integer bits are in the high double. - floor the high double and set the low double to -0.0. - 2) |x| >= 2**52, Rounding involves both doubles. - See the comment before label .L2 for details. - */ -ENTRY (__nearbyintl) - mffs fp11 /* Save current FPSCR. */ - lfd fp13,.LC0@toc(2) - fabs fp0,fp1 - mtfsb0 28 /* Disable "inexact" exceptions. */ - fsub fp12,fp13,fp13 /* generate 0.0 */ - fabs fp9,fp2 - fcmpu cr7,fp0,fp13 /* if (fabs(x) > TWO52) */ - fcmpu cr6,fp1,fp12 /* if (x > 0.0) */ - bnl- cr7,.L2 - fmr fp2,fp12 - bng- cr6,.L4 - fadd fp1,fp1,fp13 /* x+= TWO52; */ - fsub fp1,fp1,fp13 /* x-= TWO52; */ - b .L9 -.L4: - bnl- cr6,.L9 /* if (x < 0.0) */ - fsub fp1,fp13,fp1 /* x = TWO52 - x; */ - fsub fp0,fp1,fp13 /* x = - (x - TWO52); */ - fneg fp1,fp0 -.L9: - mtfsb0 6 /* Clear any pending "inexact" exceptions. */ - mtfsf 0x01,fp11 /* restore exception mask. */ - blr - -/* The high double is > TWO52 so we need to round the low double and - perhaps the high double. 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 = nearbyint(x1); - y_high = x0 + r1; - y_low = r1 - tau; - return y; */ -.L2: - fcmpu cr7,fp9,fp13 /* if (|x_low| > TWO52) */ - fcmpu cr0,fp9,fp12 /* || (|x_low| == 0.0) */ - bge- cr7,.L9 /* return x; */ - beq- cr0,.L9 - fdiv fp8,fp1,fp13 /* x_high/TWO52 */ - fctidz fp0,fp8 - fcfid fp8,fp0 /* tau = floor(x_high/TWO52); */ - fsub fp3,fp1,fp8 /* x0 = x_high - tau; */ - fadd fp4,fp2,fp8 /* x1 = x_low + tau; */ - - fcmpu cr6,fp4,fp12 /* if (x1 > 0.0) */ - bng- cr6,.L8 - fadd fp5,fp4,fp13 /* r1 = x1 + TWO52; */ - fsub fp5,fp5,fp13 /* r1 = r1 - TWO52; */ - b .L6 -.L8: - fmr fp5,fp4 - bge- cr6,.L6 /* if (x1 < 0.0) */ - fsub fp5,fp13,fp4 /* r1 = TWO52 - x1; */ - fsub fp0,fp5,fp13 /* r1 = - (r1 - TWO52); */ - fneg fp5,fp0 -.L6: - fadd fp1,fp3,fp5 /* y_high = x0 + r1; */ - fsub fp2,fp5,fp8 /* y_low = r1 - tau; */ - b .L9 -END (__nearbyintl) - -long_double_symbol (libm, __nearbyintl, nearbyintl) Index: glibc-2.19/sysdeps/powerpc/powerpc64/fpu/s_roundl.S =================================================================== --- glibc-2.19.orig/sysdeps/powerpc/powerpc64/fpu/s_roundl.S +++ /dev/null @@ -1,132 +0,0 @@ -/* long double round function. - IBM extended format long double version. - Copyright (C) 2004-2014 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, see - <http://www.gnu.org/licenses/>. */ - -#include <sysdep.h> -#include <math_ldbl_opt.h> - - .section ".toc","aw" -.LC0: /* 2**52 */ - .tc FD_43300000_0[TC],0x4330000000000000 -.LC1: /* 0.5 */ - .tc FD_3fe00000_0[TC],0x3fe0000000000000 - .section ".text" - -/* long double [fp1,fp2] roundl (long double x [fp1,fp2]) - IEEE 1003.1 round function. IEEE specifies "round to the nearest - integer value, rounding halfway cases away from zero, regardless of - the current rounding mode." However PowerPC Architecture defines - "Round to Nearest" as "Choose the best approximation. In case of a - tie, choose the one that is even (least significant bit o).". - So we can't use the PowerPC "Round to Nearest" mode. Instead we set - "Round toward Zero" mode and round by adding +-0.5 before rounding - to the integer value. */ - -ENTRY (__roundl) - 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) */ - fcmpu cr6,fp1,fp12 /* if (x > 0.0) */ - bnl- cr7,.L2 - mtfsfi 7,1 /* Set rounding mode toward 0. */ - lfd fp10,.LC1@toc(2) - ble- cr6,.L1 - fneg fp2,fp12 - fadd fp1,fp1,fp10 /* x+= 0.5; */ - fadd fp1,fp1,fp13 /* x+= TWO52; */ - fsub fp1,fp1,fp13 /* x-= TWO52; */ - fabs fp1,fp1 /* if (x == 0.0) x = 0.0; */ -.L0: - mtfsf 0x01,fp11 /* restore previous rounding mode. */ - blr -.L1: - fsub fp9,fp1,fp10 /* x-= 0.5; */ - fneg fp2,fp12 - bge- cr6,.L0 /* if (x < 0.0) */ - fsub fp1,fp9,fp13 /* x-= TWO52; */ - fadd fp1,fp1,fp13 /* x+= TWO52; */ - fnabs fp1,fp1 /* if (x == 0.0) x = -0.0; */ - mtfsf 0x01,fp11 /* restore previous rounding mode. */ - blr - -/* 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) */ - lfd fp10,.LC1@toc(2) - bgelr- cr7 /* return x; */ - beqlr- cr0 - mtfsfi 7,1 /* Set rounding mode toward 0. */ - 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,fp10 /* r1 = x1 + 0.5; */ - fadd fp5,fp5,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,fp10 /* r1 = x1 - 0.5; */ - fsub fp5,fp5,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 (__roundl) - -long_double_symbol (libm, __roundl, roundl)
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