xref: /original-bsd/sys/tahoe/math/Katanf.s (revision a425a1c9)
1/*-
2 * Copyright (c) 1985 The Regents of the University of California.
3 * All rights reserved.
4 *
5 * This code is derived from software contributed to Berkeley by
6 * Computer Consoles Inc.
7 *
8 * %sccs.include.redist.c%
9 *
10 *	@(#)Katanf.s	7.1 (Berkeley) 12/06/90
11 */
12
13#include "../tahoe/SYS.h"
14
15	.text
16ENTRY(Katanf, 0)
17	tstl	4(fp)			# if (arg > 0)
18	jleq	1f
19	pushl	20(fp)			# hfs
20	pushl	8(fp)
21	pushl	4(fp)
22	callf	$16,satan
23	ret				# return(satan(arg));
241:					# else
25	pushl	20(fp)			# hfs
26	lnd	4(fp)
27	pushd
28	callf	$16,satan
29	lnf	r0
30	stf	r0
31	ret				# return(-satan(-arg));
32
33ASENTRY(satan, R2|R3)
34	subl3	$60,fp,sp
35	cmpd2	4(fp),_sq2m1		# if (arg < sq2m1)
36	jgeq	1f
37	pushl	12(fp)			# hfs
38	pushl	8(fp)
39	pushl	4(fp)
40	callf	$16,xatan
41	ret				# return(xatan(arg));
421:
43	cmpd2	4(fp),_sq2p1		# else if (arg > sq2p1)
44	jgtr	9f
45	pushl	12(fp)			# hfs
46	ldd	one; pushd
47	ldd	4(fp); pushd
48	callf	$24,_Kaddd		# (arg+1.0)
49	pushl	12(fp)			# hfs of _Kdivd
50	pushl	r1
51	pushl	r0
52	pushl	12(fp)			# hfs
53	ldd	one; pushd
54	ldd	4(fp); pushd
55	callf	$24,_Ksubd		# (arg-1.0)
56	pushl	r1
57	pushl	r0
58	callf	$24,_Kdivd		# (arg-1.0)/(arg+1.0)
59	pushl	12(fp)			# hfs
60	pushl	r1
61	pushl	r0
62	callf	$16,xatan		# xatan((ag-1.0)/(arg+1.0))
63	pushl	12(fp)			# hfs
64	pushl	r1
65	pushl	r0
66	ldd	_pio4; pushd
67	callf	$24,_Kaddd
68	ldd	r0; cvdf; stf r0
69	ret				# return(pio4+xatan((xatan(...)));
70
719:
72	pushl	12(fp)
73	ldd	4(fp); pushd
74	ldd	one; pushd
75	callf	$24,_Kdivd		# (1.0/arg)
76	pushl	12(fp)			# hfs
77	ldd	r0; pushd
78	callf	$16,xatan
79					# clrl	-60+4(fp)
80					# movl	r0,-60(fp)
81	pushl	12(fp)			# hfs
82	ldd	r0; pushd
83	ldd	_pio2; pushd
84	callf	$24,_Ksubd
85	ldd	r0; cvdf; stf r0
86	ret
87
88ASENTRY(xatan, 0)
89	subl3	$68,fp,sp
90	pushl	12(fp)			# hfs
91	ldd	4(fp); pushd; pushd
92	callf	$24,_Kmuld		# argsq = arg*arg;
93	ldd	r0
94	std	-60(fp)			# argsq
95	pushl	12(fp)			# hfs
96	pushd
97	ldd	_p5; pushd
98	callf	$24,_Kmuld		# p5*argsq
99	pushl	12(fp)			# hfs
100	ldd	_p4; pushd
101	ldd	r0; pushd
102	callf	$24,_Kaddd		# (p5*argsq+p4)
103	pushl	12(fp)			# hfs
104	ldd	-60(fp); pushd
105	ldd	r0; pushd
106	callf	$24,_Kmuld		# (p5*argsq+p4)*argsq
107	pushl	12(fp)			# hfs
108	ldd	_p3; pushd
109	ldd	r0; pushd
110	callf	$24,_Kaddd		# ((p5*argsq+p4)*argsq+p3)
111	pushl	12(fp)			# hfs
112	ldd	-60(fp); pushd
113	ldd	r0; pushd
114	callf	$24,_Kmuld		# (..)*argsq
115	pushl	12(fp)			# hfs
116	ldd	_p2; pushd
117	ldd	r0; pushd
118	callf	$24,_Kaddd		# (..)*argsq+p2)
119	pushl	12(fp)			# hfs
120	ldd	-60(fp); pushd
121	ldd	r0; pushd
122	callf	$24,_Kmuld		# ((..)*argsq+p2)*argsq
123	pushl	12(fp)			# hfs
124	ldd	_p1; pushd
125	ldd	r0; pushd
126	callf	$24,_Kaddd		# ((..)*argsq+p2)*argsq+p1)
127	pushl	12(fp)			# hfs
128	ldd	-60(fp); pushd
129	ldd	r0; pushd
130	callf	$24,_Kmuld		# (..)*argsq
131	pushl	12(fp)			# hfs
132	ldd	_p0; pushd
133	ldd	r0; pushd
134	callf	$24,_Kaddd		# ((..)*argsq+p1)*argsq+p0)
135	pushl	12(fp)			# hfs
136	ldd	4(fp); pushd
137	ldd	r0; pushd
138	callf	$24,_Kmuld		# (..)*arg
139	ldd	r0
140	std	-68(fp); cvdf; stf r0	# value
141	ret
142
143	.data
144	.align	2
145_sq2p1:	.long	0x411A8279, 0x99FCEF31 # .double 2.414213562373095
146_sq2m1:	.long	0x3FD413CC, 0xCFE77990 # .double .41421356237309503
147_pio2:	.long	0x40C90FDA, 0xA22168C1 # .double 1.5707963267948966
148_pio4:	.long	0x40490FDA, 0xA22168C1 # .double .78539816339744829
149_p0:	.long	0x407FFFFF, 0xFD687A4B # .double .99999999939652999
150_p1:	.long	0xBFAAAAA2, 0x09F9DBF2 # .double -.3333330762079
151_p2:	.long	0x3F4CC820, 0x0670059B # .double .199982166665
152_p3:	.long	0xBF11D182, 0x6601878B # .double -.142400777317
153_p4:	.long	0x3ED88B47, 0x4EFC9AF9 # .double .10573440275
154_p5:	.long	0xBE772E4B, 0x0E689AEB # .double -.060346883
155one:	.long	0x40800000, 0x00000000 # .double 1
156