.file "libm_frexpl.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 // 03/20/00 Improved speed // 06/01/00 Fixed bug when x a double-extended denormal // 12/08/00 Corrected label on .endp // 01/23/02 Added handling for int 32 or 64 bits // 05/20/02 Cleaned up namespace and sf0 syntax // 02/10/03 Reordered header: .section, .global, .proc, .align // // API //============================================================== // long double __libm_frexpl(long double x, int* y, int int_type) // input floating point f8, pointer to y (r34), int int_type (r35) // output floating point f8, returns the fraction of x, 0.5 <= fraction < 1.0 // output int* y, returns the true exponent of x // // int_type = 0 if int is 32 bits // int_type = 1 if int is 64 bits // // int* y is returned as a 32 bit integer if int_type = 0 // int* y is returned as a 64 bit integer if int_type = 1 // // Overview of operation //============================================================== // break a floating point x number into fraction and an exponent // The fraction is returned as a long double // The exponent is returned as an integer pointed to by y // This is a true (not a biased exponent) but 0fffe is subtracted // as a bias instead of 0xffff. This is because the fraction returned // is between 0.5 and 1.0, not the expected IEEE range. // // The fraction is 0.5 <= fraction < 1.0 // // Registers used //============================================================== // // general registers: // r14 exponent bias for x negative // r15 exponent bias for x positive // r16 signexp of x // r17 exponent mask // r18 exponent of x // r19 exponent result // r20 signexp of 2^64 // r32-33 on input contains the 80-bit IEEE long double that is in f8 // r34 on input pointer to 32-bit or 64-bit integer for exponent // r35 on input contains 0 if output int is 32 bits, else output int is 64 bits // // predicate registers: // p6 set if x is Nan, zero, or infinity // p7 set if x negative // p8 set if x positive // p9 set if x double-extended denormal // p10 set if int_type = 0, 32-bit integer // p11 set if int_type = 1, 64-bit integer // // floating-point registers: // f8 input, output // f9 normalized x // f10 signexp for significand result for x positive // f11 signexp for significand result for x negative // f12 2^64 .section .text GLOBAL_LIBM_ENTRY(__libm_frexpl) // Set signexp for significand result for x>0 // If x is a NaN, zero, or infinity, return it. // Put 0 in the int pointer. // x NAN, ZERO, INFINITY? // Set signexp for significand result for x<0 { .mfi mov r15 = 0x0fffe fclass.m p6,p7 = f8, 0xe7 mov r14 = 0x2fffe } // Form signexp of 2^64 in case x double-extended denormal // Save the normalized value of input in f9 // The normalization also sets fault flags and takes faults if necessary { .mfi mov r20 = 0x1003f fnorm.s0 f9 = f8 nop.i 999 ;; } // Move signexp for significand result for x>0 to FP reg // Form 2^64 in case x double-extended denormal { .mmi setf.exp f10 = r15 setf.exp f12 = r20 nop.i 999 ;; } // Move signexp for significand result for x<0 to FP reg // p7 if x<0, else p8 // If x=0,nan,inf, set p10 if output int to be 32 bits, or set p11 if 64 bits { .mfi setf.exp f11 = r14 (p7) fcmp.lt.s0 p7,p8 = f8,f0 (p6) cmp.eq.unc p10,p11 = r35, r0 ;; } // If x NAN, ZERO, INFINITY, set *y=0 and exit { .mmb (p10) st4 [r34] = r0 // Store *y=0 as 32-bit integer (p11) st8 [r34] = r0 // Store *y=0 as 64-bit integer (p6) br.ret.spnt b0 ;; } // Form exponent mask // Test for fnorm(x) denormal, means x double-extended denormal { .mfi mov r17 = 0x1ffff fclass.m p9,p0 = f9, 0x0b nop.i 999 ;; } // If x double-extended denormal add 64 to exponent bias for scaling // If x double-extended denormal multiply x * 2^64 which is normal // Set p10 if output int to be 32 bits, or set p11 if 64 bits { .mfi (p9) add r15 = 64, r15 (p9) fmpy.s0 f9 = f9, f12 cmp.eq p10,p11 = r35, r0 ;; } // true exponent stored to int pointer // the bias is treated as 0xfffe instead of // normal 0xffff because we want the significand // to be in the range <=0.5 sig < 1.0 // Store the value of the exponent at the pointer in r34 // If x>0 form significand result { .mfi nop.m 999 (p8) fmerge.se f8 = f10,f9 nop.i 999 ;; } // Get signexp of normalized x // If x<0 form significand result { .mfi getf.exp r16 = f9 (p7) fmerge.se f8 = f11,f9 nop.i 999 ;; } // Get exp of normalized x // Subtract off bias to get true exponent of x { .mmi and r18 = r17,r16 ;; sub r19 = r18,r15 nop.i 999 ;; } // Store int *y as a 32-bit integer // Make the value a long double { .mfi (p10) st4 [r34] = r19 // Store *y as 32-bit integer fnorm.s0 f8 = f8 nop.i 999 } { .mfb (p11) st8 [r34] = r19 // Store *y as 64-bit integer nop.f 999 br.ret.sptk b0 ;; } GLOBAL_LIBM_END(__libm_frexpl)