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      1 //===-- lib/comparedf2.c - Double-precision comparisons -----------*- C -*-===//
      2 //
      3 //                     The LLVM Compiler Infrastructure
      4 //
      5 // This file is dual licensed under the MIT and the University of Illinois Open
      6 // Source Licenses. See LICENSE.TXT for details.
      7 //
      8 //===----------------------------------------------------------------------===//
      9 //
     10 // // This file implements the following soft-float comparison routines:
     11 //
     12 //   __eqdf2   __gedf2   __unorddf2
     13 //   __ledf2   __gtdf2
     14 //   __ltdf2
     15 //   __nedf2
     16 //
     17 // The semantics of the routines grouped in each column are identical, so there
     18 // is a single implementation for each, and wrappers to provide the other names.
     19 //
     20 // The main routines behave as follows:
     21 //
     22 //   __ledf2(a,b) returns -1 if a < b
     23 //                         0 if a == b
     24 //                         1 if a > b
     25 //                         1 if either a or b is NaN
     26 //
     27 //   __gedf2(a,b) returns -1 if a < b
     28 //                         0 if a == b
     29 //                         1 if a > b
     30 //                        -1 if either a or b is NaN
     31 //
     32 //   __unorddf2(a,b) returns 0 if both a and b are numbers
     33 //                           1 if either a or b is NaN
     34 //
     35 // Note that __ledf2( ) and __gedf2( ) are identical except in their handling of
     36 // NaN values.
     37 //
     38 //===----------------------------------------------------------------------===//
     39 
     40 #define DOUBLE_PRECISION
     41 #include "fp_lib.h"
     42 
     43 enum LE_RESULT {
     44     LE_LESS      = -1,
     45     LE_EQUAL     =  0,
     46     LE_GREATER   =  1,
     47     LE_UNORDERED =  1
     48 };
     49 
     50 enum LE_RESULT __ledf2(fp_t a, fp_t b) {
     51 
     52     const srep_t aInt = toRep(a);
     53     const srep_t bInt = toRep(b);
     54     const rep_t aAbs = aInt & absMask;
     55     const rep_t bAbs = bInt & absMask;
     56 
     57     // If either a or b is NaN, they are unordered.
     58     if (aAbs > infRep || bAbs > infRep) return LE_UNORDERED;
     59 
     60     // If a and b are both zeros, they are equal.
     61     if ((aAbs | bAbs) == 0) return LE_EQUAL;
     62 
     63     // If at least one of a and b is positive, we get the same result comparing
     64     // a and b as signed integers as we would with a floating-point compare.
     65     if ((aInt & bInt) >= 0) {
     66         if (aInt < bInt) return LE_LESS;
     67         else if (aInt == bInt) return LE_EQUAL;
     68         else return LE_GREATER;
     69     }
     70 
     71     // Otherwise, both are negative, so we need to flip the sense of the
     72     // comparison to get the correct result.  (This assumes a twos- or ones-
     73     // complement integer representation; if integers are represented in a
     74     // sign-magnitude representation, then this flip is incorrect).
     75     else {
     76         if (aInt > bInt) return LE_LESS;
     77         else if (aInt == bInt) return LE_EQUAL;
     78         else return LE_GREATER;
     79     }
     80 }
     81 
     82 enum GE_RESULT {
     83     GE_LESS      = -1,
     84     GE_EQUAL     =  0,
     85     GE_GREATER   =  1,
     86     GE_UNORDERED = -1   // Note: different from LE_UNORDERED
     87 };
     88 
     89 enum GE_RESULT __gedf2(fp_t a, fp_t b) {
     90 
     91     const srep_t aInt = toRep(a);
     92     const srep_t bInt = toRep(b);
     93     const rep_t aAbs = aInt & absMask;
     94     const rep_t bAbs = bInt & absMask;
     95 
     96     if (aAbs > infRep || bAbs > infRep) return GE_UNORDERED;
     97     if ((aAbs | bAbs) == 0) return GE_EQUAL;
     98     if ((aInt & bInt) >= 0) {
     99         if (aInt < bInt) return GE_LESS;
    100         else if (aInt == bInt) return GE_EQUAL;
    101         else return GE_GREATER;
    102     } else {
    103         if (aInt > bInt) return GE_LESS;
    104         else if (aInt == bInt) return GE_EQUAL;
    105         else return GE_GREATER;
    106     }
    107 }
    108 
    109 ARM_EABI_FNALIAS(dcmpun, unorddf2)
    110 
    111 int __unorddf2(fp_t a, fp_t b) {
    112     const rep_t aAbs = toRep(a) & absMask;
    113     const rep_t bAbs = toRep(b) & absMask;
    114     return aAbs > infRep || bAbs > infRep;
    115 }
    116 
    117 // The following are alternative names for the preceeding routines.
    118 
    119 enum LE_RESULT __eqdf2(fp_t a, fp_t b) {
    120     return __ledf2(a, b);
    121 }
    122 
    123 enum LE_RESULT __ltdf2(fp_t a, fp_t b) {
    124     return __ledf2(a, b);
    125 }
    126 
    127 enum LE_RESULT __nedf2(fp_t a, fp_t b) {
    128     return __ledf2(a, b);
    129 }
    130 
    131 enum GE_RESULT __gtdf2(fp_t a, fp_t b) {
    132     return __gedf2(a, b);
    133 }
    134 
    135