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Diffstat (limited to 'arch/x86/math-emu/poly_atan.c')
-rw-r--r-- | arch/x86/math-emu/poly_atan.c | 229 |
1 files changed, 229 insertions, 0 deletions
diff --git a/arch/x86/math-emu/poly_atan.c b/arch/x86/math-emu/poly_atan.c new file mode 100644 index 000000000000..82f702952f69 --- /dev/null +++ b/arch/x86/math-emu/poly_atan.c | |||
@@ -0,0 +1,229 @@ | |||
1 | /*---------------------------------------------------------------------------+ | ||
2 | | poly_atan.c | | ||
3 | | | | ||
4 | | Compute the arctan of a FPU_REG, using a polynomial approximation. | | ||
5 | | | | ||
6 | | Copyright (C) 1992,1993,1994,1997 | | ||
7 | | W. Metzenthen, 22 Parker St, Ormond, Vic 3163, Australia | | ||
8 | | E-mail billm@suburbia.net | | ||
9 | | | | ||
10 | | | | ||
11 | +---------------------------------------------------------------------------*/ | ||
12 | |||
13 | #include "exception.h" | ||
14 | #include "reg_constant.h" | ||
15 | #include "fpu_emu.h" | ||
16 | #include "fpu_system.h" | ||
17 | #include "status_w.h" | ||
18 | #include "control_w.h" | ||
19 | #include "poly.h" | ||
20 | |||
21 | |||
22 | #define HIPOWERon 6 /* odd poly, negative terms */ | ||
23 | static const unsigned long long oddnegterms[HIPOWERon] = | ||
24 | { | ||
25 | 0x0000000000000000LL, /* Dummy (not for - 1.0) */ | ||
26 | 0x015328437f756467LL, | ||
27 | 0x0005dda27b73dec6LL, | ||
28 | 0x0000226bf2bfb91aLL, | ||
29 | 0x000000ccc439c5f7LL, | ||
30 | 0x0000000355438407LL | ||
31 | } ; | ||
32 | |||
33 | #define HIPOWERop 6 /* odd poly, positive terms */ | ||
34 | static const unsigned long long oddplterms[HIPOWERop] = | ||
35 | { | ||
36 | /* 0xaaaaaaaaaaaaaaabLL, transferred to fixedpterm[] */ | ||
37 | 0x0db55a71875c9ac2LL, | ||
38 | 0x0029fce2d67880b0LL, | ||
39 | 0x0000dfd3908b4596LL, | ||
40 | 0x00000550fd61dab4LL, | ||
41 | 0x0000001c9422b3f9LL, | ||
42 | 0x000000003e3301e1LL | ||
43 | }; | ||
44 | |||
45 | static const unsigned long long denomterm = 0xebd9b842c5c53a0eLL; | ||
46 | |||
47 | static const Xsig fixedpterm = MK_XSIG(0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa); | ||
48 | |||
49 | static const Xsig pi_signif = MK_XSIG(0xc90fdaa2, 0x2168c234, 0xc4c6628b); | ||
50 | |||
51 | |||
52 | /*--- poly_atan() -----------------------------------------------------------+ | ||
53 | | | | ||
54 | +---------------------------------------------------------------------------*/ | ||
55 | void poly_atan(FPU_REG *st0_ptr, u_char st0_tag, | ||
56 | FPU_REG *st1_ptr, u_char st1_tag) | ||
57 | { | ||
58 | u_char transformed, inverted, | ||
59 | sign1, sign2; | ||
60 | int exponent; | ||
61 | long int dummy_exp; | ||
62 | Xsig accumulator, Numer, Denom, accumulatore, argSignif, | ||
63 | argSq, argSqSq; | ||
64 | u_char tag; | ||
65 | |||
66 | sign1 = getsign(st0_ptr); | ||
67 | sign2 = getsign(st1_ptr); | ||
68 | if ( st0_tag == TAG_Valid ) | ||
69 | { | ||
70 | exponent = exponent(st0_ptr); | ||
71 | } | ||
72 | else | ||
73 | { | ||
74 | /* This gives non-compatible stack contents... */ | ||
75 | FPU_to_exp16(st0_ptr, st0_ptr); | ||
76 | exponent = exponent16(st0_ptr); | ||
77 | } | ||
78 | if ( st1_tag == TAG_Valid ) | ||
79 | { | ||
80 | exponent -= exponent(st1_ptr); | ||
81 | } | ||
82 | else | ||
83 | { | ||
84 | /* This gives non-compatible stack contents... */ | ||
85 | FPU_to_exp16(st1_ptr, st1_ptr); | ||
86 | exponent -= exponent16(st1_ptr); | ||
87 | } | ||
88 | |||
89 | if ( (exponent < 0) || ((exponent == 0) && | ||
90 | ((st0_ptr->sigh < st1_ptr->sigh) || | ||
91 | ((st0_ptr->sigh == st1_ptr->sigh) && | ||
92 | (st0_ptr->sigl < st1_ptr->sigl))) ) ) | ||
93 | { | ||
94 | inverted = 1; | ||
95 | Numer.lsw = Denom.lsw = 0; | ||
96 | XSIG_LL(Numer) = significand(st0_ptr); | ||
97 | XSIG_LL(Denom) = significand(st1_ptr); | ||
98 | } | ||
99 | else | ||
100 | { | ||
101 | inverted = 0; | ||
102 | exponent = -exponent; | ||
103 | Numer.lsw = Denom.lsw = 0; | ||
104 | XSIG_LL(Numer) = significand(st1_ptr); | ||
105 | XSIG_LL(Denom) = significand(st0_ptr); | ||
106 | } | ||
107 | div_Xsig(&Numer, &Denom, &argSignif); | ||
108 | exponent += norm_Xsig(&argSignif); | ||
109 | |||
110 | if ( (exponent >= -1) | ||
111 | || ((exponent == -2) && (argSignif.msw > 0xd413ccd0)) ) | ||
112 | { | ||
113 | /* The argument is greater than sqrt(2)-1 (=0.414213562...) */ | ||
114 | /* Convert the argument by an identity for atan */ | ||
115 | transformed = 1; | ||
116 | |||
117 | if ( exponent >= 0 ) | ||
118 | { | ||
119 | #ifdef PARANOID | ||
120 | if ( !( (exponent == 0) && | ||
121 | (argSignif.lsw == 0) && (argSignif.midw == 0) && | ||
122 | (argSignif.msw == 0x80000000) ) ) | ||
123 | { | ||
124 | EXCEPTION(EX_INTERNAL|0x104); /* There must be a logic error */ | ||
125 | return; | ||
126 | } | ||
127 | #endif /* PARANOID */ | ||
128 | argSignif.msw = 0; /* Make the transformed arg -> 0.0 */ | ||
129 | } | ||
130 | else | ||
131 | { | ||
132 | Numer.lsw = Denom.lsw = argSignif.lsw; | ||
133 | XSIG_LL(Numer) = XSIG_LL(Denom) = XSIG_LL(argSignif); | ||
134 | |||
135 | if ( exponent < -1 ) | ||
136 | shr_Xsig(&Numer, -1-exponent); | ||
137 | negate_Xsig(&Numer); | ||
138 | |||
139 | shr_Xsig(&Denom, -exponent); | ||
140 | Denom.msw |= 0x80000000; | ||
141 | |||
142 | div_Xsig(&Numer, &Denom, &argSignif); | ||
143 | |||
144 | exponent = -1 + norm_Xsig(&argSignif); | ||
145 | } | ||
146 | } | ||
147 | else | ||
148 | { | ||
149 | transformed = 0; | ||
150 | } | ||
151 | |||
152 | argSq.lsw = argSignif.lsw; argSq.midw = argSignif.midw; | ||
153 | argSq.msw = argSignif.msw; | ||
154 | mul_Xsig_Xsig(&argSq, &argSq); | ||
155 | |||
156 | argSqSq.lsw = argSq.lsw; argSqSq.midw = argSq.midw; argSqSq.msw = argSq.msw; | ||
157 | mul_Xsig_Xsig(&argSqSq, &argSqSq); | ||
158 | |||
159 | accumulatore.lsw = argSq.lsw; | ||
160 | XSIG_LL(accumulatore) = XSIG_LL(argSq); | ||
161 | |||
162 | shr_Xsig(&argSq, 2*(-1-exponent-1)); | ||
163 | shr_Xsig(&argSqSq, 4*(-1-exponent-1)); | ||
164 | |||
165 | /* Now have argSq etc with binary point at the left | ||
166 | .1xxxxxxxx */ | ||
167 | |||
168 | /* Do the basic fixed point polynomial evaluation */ | ||
169 | accumulator.msw = accumulator.midw = accumulator.lsw = 0; | ||
170 | polynomial_Xsig(&accumulator, &XSIG_LL(argSqSq), | ||
171 | oddplterms, HIPOWERop-1); | ||
172 | mul64_Xsig(&accumulator, &XSIG_LL(argSq)); | ||
173 | negate_Xsig(&accumulator); | ||
174 | polynomial_Xsig(&accumulator, &XSIG_LL(argSqSq), oddnegterms, HIPOWERon-1); | ||
175 | negate_Xsig(&accumulator); | ||
176 | add_two_Xsig(&accumulator, &fixedpterm, &dummy_exp); | ||
177 | |||
178 | mul64_Xsig(&accumulatore, &denomterm); | ||
179 | shr_Xsig(&accumulatore, 1 + 2*(-1-exponent)); | ||
180 | accumulatore.msw |= 0x80000000; | ||
181 | |||
182 | div_Xsig(&accumulator, &accumulatore, &accumulator); | ||
183 | |||
184 | mul_Xsig_Xsig(&accumulator, &argSignif); | ||
185 | mul_Xsig_Xsig(&accumulator, &argSq); | ||
186 | |||
187 | shr_Xsig(&accumulator, 3); | ||
188 | negate_Xsig(&accumulator); | ||
189 | add_Xsig_Xsig(&accumulator, &argSignif); | ||
190 | |||
191 | if ( transformed ) | ||
192 | { | ||
193 | /* compute pi/4 - accumulator */ | ||
194 | shr_Xsig(&accumulator, -1-exponent); | ||
195 | negate_Xsig(&accumulator); | ||
196 | add_Xsig_Xsig(&accumulator, &pi_signif); | ||
197 | exponent = -1; | ||
198 | } | ||
199 | |||
200 | if ( inverted ) | ||
201 | { | ||
202 | /* compute pi/2 - accumulator */ | ||
203 | shr_Xsig(&accumulator, -exponent); | ||
204 | negate_Xsig(&accumulator); | ||
205 | add_Xsig_Xsig(&accumulator, &pi_signif); | ||
206 | exponent = 0; | ||
207 | } | ||
208 | |||
209 | if ( sign1 ) | ||
210 | { | ||
211 | /* compute pi - accumulator */ | ||
212 | shr_Xsig(&accumulator, 1 - exponent); | ||
213 | negate_Xsig(&accumulator); | ||
214 | add_Xsig_Xsig(&accumulator, &pi_signif); | ||
215 | exponent = 1; | ||
216 | } | ||
217 | |||
218 | exponent += round_Xsig(&accumulator); | ||
219 | |||
220 | significand(st1_ptr) = XSIG_LL(accumulator); | ||
221 | setexponent16(st1_ptr, exponent); | ||
222 | |||
223 | tag = FPU_round(st1_ptr, 1, 0, FULL_PRECISION, sign2); | ||
224 | FPU_settagi(1, tag); | ||
225 | |||
226 | set_precision_flag_up(); /* We do not really know if up or down, | ||
227 | use this as the default. */ | ||
228 | |||
229 | } | ||