.file "ilogb.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 //============================================================== // 02/03/00 Initial version // 05/26/00 Fix bug when x a double-extended denormal; // if x=0 call error routine, per C9X // 08/15/00 Bundle added after call to __libm_error_support to properly // set [the previously overwritten] GR_Parameter_RESULT. // 01/20/01 Fixed result for x=0, corrected error tag value. // 05/20/02 Cleaned up namespace and sf0 syntax // 01/20/03 Improved performance // // API //============================================================== // int ilogb( double x ); // // Overview of operation //============================================================== // The ilogb function extracts the exponent of x as an integer // and returns it in r8 // // ilogb is similar to logb but differs in the following ways: // +-inf // ilogb: returns INT_MAX // logb: returns +inf // Nan returns FP_LOGBNAN (which is either INT_MAX or INT_MIN) // ilogb: returns INT_MAX (7fffffff) // logb: returns QNAN (quietized SNAN) // 0 returns FP_ILOGB0 (which is either INT_MIN or -INT_MAX) // ilogb: returns -INT_MAX (80000001) // logb: returns -inf, raises the divide-by-zero exception, // and calls libm_error_support to set domain error // // Registers used //============================================================== // general registers used: // r26 -> r39 // r36 -> r39 used as parameters to error path // // predicate registers used: // p6 -> p10 // floating-point registers used: // f9, f10, f11 // f8, input rExpBias = r26 rExpMask = r27 rSignexp_x = r28 rExp_x = r29 rIntMax = r30 rExp_2to64 = r31 GR_SAVE_PFS = r32 rTrialResult = r33 GR_SAVE_B0 = r34 GR_SAVE_GP = r35 GR_Parameter_X = r36 GR_Parameter_Y = r37 GR_Parameter_RESULT = r38 GR_Parameter_TAG = r39 fTmp = f9 fNorm_x = f10 f2to64 = f11 .section .text GLOBAL_LIBM_ENTRY(ilogb) // X NORMAL // TrueExp_x = exp(f8) - 0xffff // r8 = TrueExp_x { .mfi getf.exp rSignexp_x = f8 fclass.m p8,p0 = f8, 0x0b // Test for x unorm mov rExpBias = 0xffff // Exponent bias } { .mfi nop.m 0 fnorm.s1 fNorm_x = f8 mov rExpMask = 0x1ffff // Exponent mask } ;; // Form signexp of 2^64 in case need to scale denormal { .mfb mov rExp_2to64 = 0x1003f fclass.m p6,p9 = f8, 0x1e3 // Test x natval, nan, inf (p8) br.cond.spnt ILOGB_DENORM // Branch if x unorm } ;; ILOGB_COMMON: // Return here from ILOGB_DENORM { .mfi and rExp_x = rSignexp_x, rExpMask // Get biased exponent fclass.m p7,p10 = f8, 0x07 // Test x zero nop.i 0 } { .mlx nop.m 0 movl rIntMax = 0x000000007fffffff // Form INT_MAX } ;; .pred.rel "mutex",p6,p9 { .mfi (p9) sub r8 = rExp_x, rExpBias // Get true exponent for normal path (p6) fma.s0 fTmp = f8, f8, f0 // Dummy to set Invalid flag (p6) mov r8 = rIntMax // If nan, inf, return INT_MAX } { .mbb nop.m 0 (p7) br.cond.spnt ILOGB_ZERO // Branch if x zero (p10) br.ret.sptk b0 // Exit if x not zero } ;; ILOGB_DENORM: // Form 2^64 in case need to scale denormal // Check to see if double-extended denormal { .mfi setf.exp f2to64 = rExp_2to64 fclass.m p8,p0 = fNorm_x, 0x0b nop.i 0 } ;; { .mfi nop.m 0 fcmp.eq.s0 p7,p0 = f8, f0 // Dummy op to set denormal flag nop.i 0 } ;; // If double-extended denormal add 64 to exponent bias for scaling // If double-extended denormal form x * 2^64 which is normal { .mfi (p8) add rExpBias = 64, rExpBias (p8) fmpy.s1 fNorm_x = fNorm_x, f2to64 nop.i 0 } ;; // Logic is the same as normal path but use normalized input { .mib getf.exp rSignexp_x = fNorm_x nop.i 0 br.cond.sptk ILOGB_COMMON // Return to main path } ;; ILOGB_ZERO: // Here if x zero // Return INT_MIN, call error support { .mlx alloc r32=ar.pfs,1,3,4,0 movl rTrialResult = 0x0000000080000000 } { .mib mov GR_Parameter_TAG = 157 // Error code nop.i 0 br.cond.sptk __libm_error_region // Call error support } ;; GLOBAL_LIBM_END(ilogb) LOCAL_LIBM_ENTRY(__libm_error_region) .prologue { .mfi add GR_Parameter_Y=-32,sp // Parameter 2 value nop.f 0 .save ar.pfs,GR_SAVE_PFS mov GR_SAVE_PFS=ar.pfs // Save ar.pfs } { .mfi .fframe 64 add sp=-64,sp // Create new stack nop.f 0 mov GR_SAVE_GP=gp // Save gp };; { .mmi stfd [GR_Parameter_Y] = f0,16 // STORE Parameter 2 on stack add GR_Parameter_X = 16,sp // Parameter 1 address .save b0, GR_SAVE_B0 mov GR_SAVE_B0=b0 // Save b0 };; .body { .mib stfd [GR_Parameter_X] = f8 // STORE Parameter 1 on stack add GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address nop.b 0 } { .mib stfd [GR_Parameter_Y] = f9 // Store Parameter 3 on stack add GR_Parameter_Y = -16,GR_Parameter_Y br.call.sptk b0=__libm_error_support# // Call error handling function };; { .mmi add GR_Parameter_RESULT = 48,sp nop.m 0 nop.i 0 };; { .mmi mov r8 = rTrialResult .restore sp add sp = 64,sp // Restore stack pointer mov b0 = GR_SAVE_B0 // Restore return address };; { .mib mov gp = GR_SAVE_GP // Restore gp mov ar.pfs = GR_SAVE_PFS // Restore ar.pfs br.ret.sptk b0 };; LOCAL_LIBM_END(__libm_error_region) .type __libm_error_support#,@function .global __libm_error_support#