| Edward O'Callaghan | 33c1347 | 2009-08-08 04:43:56 +0000 | [diff] [blame] | 1 | /* This file is distributed under the University of Illinois Open Source |
| 2 | * License. See LICENSE.TXT for details. |
| 3 | */ |
| Daniel Dunbar | b3a6901 | 2009-06-26 16:47:03 +0000 | [diff] [blame] | 4 | |
| 5 | #include "DD.h" |
| 6 | #include <math.h> |
| 7 | |
| Edward O'Callaghan | 33c1347 | 2009-08-08 04:43:56 +0000 | [diff] [blame] | 8 | #if !defined(INFINITY) && defined(HUGE_VAL) |
| 9 | #define INFINITY HUGE_VAL |
| 10 | #endif /* INFINITY */ |
| 11 | |
| Daniel Dunbar | b3a6901 | 2009-06-26 16:47:03 +0000 | [diff] [blame] | 12 | #define makeFinite(x) { \ |
| Edward O'Callaghan | 8bf1e09 | 2009-08-09 18:41:02 +0000 | [diff] [blame^] | 13 | (x).s.hi = __builtin_copysign(isinf((x).s.hi) ? 1.0 : 0.0, (x).s.hi); \ |
| 14 | (x).s.lo = 0.0; \ |
| Daniel Dunbar | b3a6901 | 2009-06-26 16:47:03 +0000 | [diff] [blame] | 15 | } |
| 16 | |
| 17 | #define zeroNaN(x) { \ |
| Edward O'Callaghan | 8bf1e09 | 2009-08-09 18:41:02 +0000 | [diff] [blame^] | 18 | if (isnan((x).s.hi)) { \ |
| 19 | (x).s.hi = __builtin_copysign(0.0, (x).s.hi); \ |
| 20 | (x).s.lo = 0.0; \ |
| Daniel Dunbar | b3a6901 | 2009-06-26 16:47:03 +0000 | [diff] [blame] | 21 | } \ |
| 22 | } |
| 23 | |
| 24 | long double __gcc_qadd(long double, long double); |
| 25 | long double __gcc_qsub(long double, long double); |
| 26 | long double __gcc_qmul(long double, long double); |
| 27 | |
| 28 | long double _Complex |
| 29 | __multc3(long double a, long double b, long double c, long double d) |
| 30 | { |
| 31 | long double ac = __gcc_qmul(a,c); |
| 32 | long double bd = __gcc_qmul(b,d); |
| 33 | long double ad = __gcc_qmul(a,d); |
| 34 | long double bc = __gcc_qmul(b,c); |
| 35 | |
| 36 | DD real = { .ld = __gcc_qsub(ac,bd) }; |
| 37 | DD imag = { .ld = __gcc_qadd(ad,bc) }; |
| 38 | |
| Edward O'Callaghan | 8bf1e09 | 2009-08-09 18:41:02 +0000 | [diff] [blame^] | 39 | if (isnan(real.s.hi) && isnan(imag.s.hi)) |
| Daniel Dunbar | b3a6901 | 2009-06-26 16:47:03 +0000 | [diff] [blame] | 40 | { |
| 41 | int recalc = 0; |
| 42 | |
| 43 | DD aDD = { .ld = a }; |
| 44 | DD bDD = { .ld = b }; |
| 45 | DD cDD = { .ld = c }; |
| 46 | DD dDD = { .ld = d }; |
| 47 | |
| Edward O'Callaghan | 8bf1e09 | 2009-08-09 18:41:02 +0000 | [diff] [blame^] | 48 | if (isinf(aDD.s.hi) || isinf(bDD.s.hi)) |
| Daniel Dunbar | b3a6901 | 2009-06-26 16:47:03 +0000 | [diff] [blame] | 49 | { |
| 50 | makeFinite(aDD); |
| 51 | makeFinite(bDD); |
| 52 | zeroNaN(cDD); |
| 53 | zeroNaN(dDD); |
| 54 | recalc = 1; |
| 55 | } |
| 56 | |
| Edward O'Callaghan | 8bf1e09 | 2009-08-09 18:41:02 +0000 | [diff] [blame^] | 57 | if (isinf(cDD.s.hi) || isinf(dDD.s.hi)) |
| Daniel Dunbar | b3a6901 | 2009-06-26 16:47:03 +0000 | [diff] [blame] | 58 | { |
| 59 | makeFinite(cDD); |
| 60 | makeFinite(dDD); |
| 61 | zeroNaN(aDD); |
| 62 | zeroNaN(bDD); |
| 63 | recalc = 1; |
| 64 | } |
| 65 | |
| 66 | if (!recalc) |
| 67 | { |
| 68 | DD acDD = { .ld = ac }; |
| 69 | DD bdDD = { .ld = bd }; |
| 70 | DD adDD = { .ld = ad }; |
| 71 | DD bcDD = { .ld = bc }; |
| 72 | |
| Edward O'Callaghan | 8bf1e09 | 2009-08-09 18:41:02 +0000 | [diff] [blame^] | 73 | if (isinf(acDD.s.hi) || isinf(bdDD.s.hi) || isinf(adDD.s.hi) || isinf(bcDD.s.hi)) |
| Daniel Dunbar | b3a6901 | 2009-06-26 16:47:03 +0000 | [diff] [blame] | 74 | { |
| 75 | zeroNaN(aDD); |
| 76 | zeroNaN(bDD); |
| 77 | zeroNaN(cDD); |
| 78 | zeroNaN(dDD); |
| 79 | recalc = 1; |
| 80 | } |
| 81 | } |
| 82 | |
| 83 | if (recalc) |
| 84 | { |
| Edward O'Callaghan | 8bf1e09 | 2009-08-09 18:41:02 +0000 | [diff] [blame^] | 85 | real.s.hi = INFINITY * (aDD.s.hi*cDD.s.hi - bDD.s.hi*dDD.s.hi); |
| 86 | real.s.lo = 0.0; |
| 87 | imag.s.hi = INFINITY * (aDD.s.hi*dDD.s.hi + bDD.s.hi*cDD.s.hi); |
| 88 | imag.s.lo = 0.0; |
| Daniel Dunbar | b3a6901 | 2009-06-26 16:47:03 +0000 | [diff] [blame] | 89 | } |
| 90 | } |
| 91 | |
| 92 | long double _Complex z; |
| 93 | __real__ z = real.ld; |
| 94 | __imag__ z = imag.ld; |
| 95 | |
| 96 | return z; |
| 97 | } |