.file "logb.s" // Copyright (c) 2000, 2001, Intel Corporation // All rights reserved. // // Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story, // and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation. // // WARRANTY DISCLAIMER // // 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://developer.intel.com/opensource. // // History //============================================================== // 2/02/00 Initial version // 2/16/00 Modified to conform to C9X // 3/16/00 Improved speed // 4/04/00 Unwind support added // 5/30/00 Fixed bug when x double-extended denormal // 8/15/00 Bundle added after call to __libm_error_support to properly // set [the previously overwritten] GR_Parameter_RESULT. // // API //============================================================== // double _logb( double x); // // Overview of operation //============================================================== // The logb function extracts the exponent of x as an integer in // floating-point format. // logb computes log2 of x as a double // // logb is similar to ilogb 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: // ar.pfs r32 // r33 -> r37 // r38 -> r41 used as parameters to error path // // predicate registers used: // p6, p7, p8 // floating-point registers used: // f9, f10, f11 // f8, input GR_SAVE_B0 = r34 GR_SAVE_GP = r35 GR_SAVE_PFS = r32 GR_Parameter_X = r38 GR_Parameter_Y = r39 GR_Parameter_RESULT = r40 .align 32 .global _logb# .section .text .proc _logb# .align 32 _logb: // qnan snan inf norm unorm 0 -+ // 0 0 0 0 1 0 11 // 0 b { .mfi alloc r32=ar.pfs,1,5,4,0 fclass.m.unc p8,p0 = f8, 0x0b nop.i 999 } // X NORMAL // r37 = exp(f8) - - 0xffff // sig(f8) = r37 // f8 = convert_to_fp (sig)) { .mfi getf.exp r35 = f8 fnorm f10=f8 nop.i 999 ;; } // qnan snan inf norm unorm 0 -+ // 1 1 1 0 0 0 11 // e 3 { .mmf mov r33 = 0xffff mov r34 = 0x1ffff fclass.m.unc p6,p0 = f8, 0xe3 ;; } { .mfb and r36 = r35, r34 fclass.m.unc p7,p0 = f8, 0x07 (p8) br.cond.spnt LOGB_DENORM ;; } { .mib sub r37 = r36, r33 nop.i 999 (p6) br.cond.spnt LOGB_NAN_INF ;; } { .mib setf.sig f9 = r37 nop.i 999 (p7) br.cond.spnt LOGB_ZERO ;; } { .mfi nop.m 999 fcvt.xf f10 = f9 nop.i 999 ;; } { .mfb nop.m 999 fnorm.d f8 = f10 br.ret.sptk b0 ;; } LOGB_DENORM: // Form signexp of 2^64 in case need to scale denormal // Check to see if double-extended denormal { .mfi mov r38 = 0x1003f fclass.m.unc p8,p0 = f10, 0x0b nop.i 999 ;; } // Form 2^64 in case need to scale denormal { .mfi setf.exp f11 = r38 nop.f 999 nop.i 999 ;; } // 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 r33 = 64, r33 (p8) fmpy f10 = f10, f11 nop.i 999 ;; } // Logic is the same as normal path but use normalized input { .mmi getf.exp r35 = f10 ;; nop.m 999 nop.i 999 ;; } { .mmi and r36 = r35, r34 ;; sub r37 = r36, r33 nop.i 999 ;; } { .mmi setf.sig f9 = r37 nop.m 999 nop.i 999 ;; } { .mfi nop.m 999 fcvt.xf f10 = f9 nop.i 999 ;; } { .mfb nop.m 999 fnorm.d f8 = f10 br.ret.sptk b0 ;; } LOGB_NAN_INF: // X NAN or INFINITY, return f8 * f8 { .mfb nop.m 999 fma.d f8= f8,f8,f0 br.ret.sptk b0 ;; } .endp _logb# // Stack operations when calling error support. // (1) (2) (3) (call) (4) // sp -> + psp -> + psp -> + sp -> + // | | | | // | | <- GR_Y R3 ->| <- GR_RESULT | -> f8 // | | | | // | <-GR_Y Y2->| Y2 ->| <- GR_Y | // | | | | // | | <- GR_X X1 ->| | // | | | | // sp-64 -> + sp -> + sp -> + + // save ar.pfs save b0 restore gp // save gp restore ar.pfs .proc __libm_error_region __libm_error_region: LOGB_ZERO: .prologue // f9 = |f8| // f10 = -f9 = -|f8| // f9 = 1.0/f10 = -1.0/-|f8| { .mfi mov r41 = 151 // Error code fmerge.s f9 = f0,f8 nop.i 999 } ;; { .mfi nop.m 999 fmerge.ns f10 = f0,f9 nop.i 999 } ;; // (1) { .mfi add GR_Parameter_Y=-32,sp // Parameter 2 value frcpa f9,p6 = f1,f10 .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 };; // (2) { .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 // (3) { .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 nop.m 0 nop.m 0 add GR_Parameter_RESULT = 48,sp };; // (4) { .mmi ldfd f8 = [GR_Parameter_RESULT] // Get return result off stack .restore 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 };; .endp __libm_error_region .type __libm_error_support#,@function .global __libm_error_support#