diff options
Diffstat (limited to 'sysdeps/ia64/fpu/s_ceil.S')
| -rw-r--r-- | sysdeps/ia64/fpu/s_ceil.S | 224 |
1 files changed, 224 insertions, 0 deletions
diff --git a/sysdeps/ia64/fpu/s_ceil.S b/sysdeps/ia64/fpu/s_ceil.S new file mode 100644 index 0000000..d1d2980 --- /dev/null +++ b/sysdeps/ia64/fpu/s_ceil.S @@ -0,0 +1,224 @@ +.file "ceil.s" + + +// Copyright (c) 2000 - 2003, Intel Corporation +// All rights reserved. +// +// Contributed 2000 by the Intel Numerics Group, Intel Corporation +// +// Redistribution and use in source and binary forms, with or without +// modification, are permitted provided that the following conditions are +// met: +// +// * Redistributions of source code must retain the above copyright +// notice, this list of conditions and the following disclaimer. +// +// * Redistributions in binary form must reproduce the above copyright +// notice, this list of conditions and the following disclaimer in the +// documentation and/or other materials provided with the distribution. +// +// * The name of Intel Corporation may not be used to endorse or promote +// products derived from this software without specific prior written +// permission. + +// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR +// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS +// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, +// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, +// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR +// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY +// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING +// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS +// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. +// +// Intel Corporation is the author of this code, and requests that all +// problem reports or change requests be submitted to it directly at +// http://www.intel.com/software/products/opensource/libraries/num.htm. +// +// History +//============================================================== +// 02/02/00 Initial version +// 06/13/00 Improved speed +// 06/27/00 Eliminated incorrect invalid flag setting +// 05/20/02 Cleaned up namespace and sf0 syntax +// 01/28/03 Improved performance +//============================================================== + +// API +//============================================================== +// double ceil(double x) +//============================================================== + +// general input registers: +// r14 - r19 + +rSignexp = r14 +rExp = r15 +rExpMask = r16 +rBigexp = r17 +rM1 = r18 +rSignexpM1 = r19 + +// floating-point registers: +// f8 - f13 + +fXInt = f9 +fNormX = f10 +fTmp = f11 +fAdj = f12 +fPreResult = f13 + +// predicate registers used: +// p6 - p10 + +// Overview of operation +//============================================================== +// double ceil(double x) +// Return an integer value (represented as a double) that is the smallest +// value not less than x +// This is x rounded toward +infinity to an integral value. +// Inexact is set if x != ceil(x) +//============================================================== + +// double_extended +// if the exponent is > 1003e => 3F(true) = 63(decimal) +// we have a significand of 64 bits 1.63-bits. +// If we multiply by 2^63, we no longer have a fractional part +// So input is an integer value already. + +// double +// if the exponent is >= 10033 => 34(true) = 52(decimal) +// 34 + 3ff = 433 +// we have a significand of 53 bits 1.52-bits. (implicit 1) +// If we multiply by 2^52, we no longer have a fractional part +// So input is an integer value already. + +// single +// if the exponent is > 10016 => 17(true) = 23(decimal) +// we have a significand of 24 bits 1.23-bits. (implicit 1) +// If we multiply by 2^23, we no longer have a fractional part +// So input is an integer value already. + + +.section .text +GLOBAL_LIBM_ENTRY(ceil) + +{ .mfi + getf.exp rSignexp = f8 // Get signexp, recompute if unorm + fclass.m p7,p0 = f8, 0x0b // Test x unorm + addl rBigexp = 0x10033, r0 // Set exponent at which is integer +} +{ .mfi + mov rM1 = -1 // Set all ones + fcvt.fx.trunc.s1 fXInt = f8 // Convert to int in significand + mov rExpMask = 0x1FFFF // Form exponent mask +} +;; + +{ .mfi + mov rSignexpM1 = 0x2FFFF // Form signexp of -1 + fcmp.lt.s1 p8,p9 = f8, f0 // Test x < 0 + nop.i 0 +} +{ .mfb + setf.sig fTmp = rM1 // Make const for setting inexact + fnorm.s1 fNormX = f8 // Normalize input +(p7) br.cond.spnt CEIL_UNORM // Branch if x unorm +} +;; + +CEIL_COMMON: +// Return here from CEIL_UNORM +{ .mfi + nop.m 0 + fclass.m p6,p0 = f8, 0x1e7 // Test x natval, nan, inf, 0 + nop.i 0 +} +;; + +.pred.rel "mutex",p8,p9 +{ .mfi + nop.m 0 +(p8) fma.s1 fAdj = f0, f0, f0 // If x < 0, adjustment is 0 + nop.i 0 +} +{ .mfi + nop.m 0 +(p9) fma.s1 fAdj = f1, f1, f0 // If x > 0, adjustment is +1 + nop.i 0 +} +;; + +{ .mfi + nop.m 0 + fcvt.xf fPreResult = fXInt // trunc(x) + nop.i 0 +} +{ .mfb + nop.m 0 +(p6) fma.d.s0 f8 = f8, f1, f0 // Result if x natval, nan, inf, 0 +(p6) br.ret.spnt b0 // Exit if x natval, nan, inf, 0 +} +;; + +{ .mmi + and rExp = rSignexp, rExpMask // Get biased exponent +;; + cmp.ge p7,p6 = rExp, rBigexp // Is |x| >= 2^52? +(p8) cmp.lt.unc p10,p0 = rSignexp, rSignexpM1 // Is -1 < x < 0? +} +;; + +// If -1 < x < 0, we turn off p6 and compute result as -0 +{ .mfi +(p10) cmp.ne p6,p0 = r0,r0 +(p10) fmerge.s f8 = fNormX, f0 + nop.i 0 +} +;; + +.pred.rel "mutex",p6,p7 +{ .mfi + nop.m 0 +(p6) fma.d.s0 f8 = fPreResult, f1, fAdj // Result if !int, |x| < 2^52 + nop.i 0 +} +{ .mfi + nop.m 0 +(p7) fma.d.s0 f8 = fNormX, f1, f0 // Result, if |x| >= 2^52 +(p10) cmp.eq p6,p0 = r0,r0 // If -1 < x < 0, turn on p6 again +} +;; + +{ .mfi + nop.m 0 +(p6) fcmp.eq.unc.s1 p8, p9 = fPreResult, fNormX // Is trunc(x) = x ? + nop.i 0 +} +;; + +{ .mfi + nop.m 0 +(p9) fmpy.s0 fTmp = fTmp, fTmp // Dummy to set inexact + nop.i 0 +} +{ .mfb + nop.m 0 +(p8) fma.d.s0 f8 = fNormX, f1, f0 // If x int, result normalized x + br.ret.sptk b0 // Exit main path, 0 < |x| < 2^52 +} +;; + + +CEIL_UNORM: +// Here if x unorm +{ .mfb + getf.exp rSignexp = fNormX // Get signexp, recompute if unorm + fcmp.eq.s0 p7,p0 = f8, f0 // Dummy op to set denormal flag + br.cond.sptk CEIL_COMMON // Return to main path +} +;; + +GLOBAL_LIBM_END(ceil) |