1 /**************************************************************************/
2 /* */
3 /* Copyright (c) Microsoft Corporation. All rights reserved. */
4 /* */
5 /* This software is licensed under the Microsoft Software License */
6 /* Terms for Microsoft Azure RTOS. Full text of the license can be */
7 /* found in the LICENSE file at https://aka.ms/AzureRTOS_EULA */
8 /* and in the root directory of this software. */
9 /* */
10 /**************************************************************************/
11
12
13 /**************************************************************************/
14 /**************************************************************************/
15 /** */
16 /** GUIX Component */
17 /** */
18 /** Utility (Utility) */
19 /** */
20 /**************************************************************************/
21
22 #define GX_SOURCE_CODE
23
24
25 /* Include necessary system files. */
26
27 #include "gx_api.h"
28 #include "gx_utility.h"
29 /* define the the table of sin values for one quadrant,
30 angle value is enlarged by 4, sine value is enlarged by 256.*/
31 static GX_CONST GX_UBYTE sin_value_table[360] = {
32 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f,
33 0x10, 0x11, 0x12, 0x14, 0x15, 0x16, 0x17, 0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1e, 0x1f, 0x20,
34 0x21, 0x22, 0x23, 0x24, 0x25, 0x26, 0x28, 0x29, 0x2a, 0x2b, 0x2c, 0x2d, 0x2e, 0x2f, 0x30,
35 0x31, 0x33, 0x34, 0x35, 0x36, 0x37, 0x38, 0x39, 0x3a, 0x3b, 0x3c, 0x3d, 0x3f, 0x40, 0x41,
36 0x42, 0x43, 0x44, 0x45, 0x46, 0x47, 0x48, 0x49, 0x4a, 0x4b, 0x4c, 0x4e, 0x4f, 0x50, 0x51,
37 0x52, 0x53, 0x54, 0x55, 0x56, 0x57, 0x58, 0x59, 0x5a, 0x5b, 0x5c, 0x5d, 0x5e, 0x5f, 0x60,
38 0x61, 0x62, 0x64, 0x65, 0x66, 0x67, 0x68, 0x69, 0x6a, 0x6b, 0x6c, 0x6d, 0x6e, 0x6f, 0x70,
39 0x71, 0x72, 0x73, 0x74, 0x75, 0x76, 0x77, 0x78, 0x79, 0x7a, 0x7b, 0x7c, 0x7d, 0x7e, 0x7f,
40 0x80, 0x80, 0x81, 0x82, 0x83, 0x84, 0x85, 0x86, 0x87, 0x88, 0x89, 0x8a, 0x8b, 0x8c, 0x8d,
41 0x8e, 0x8f, 0x90, 0x90, 0x91, 0x92, 0x93, 0x94, 0x95, 0x96, 0x97, 0x98, 0x99, 0x9a, 0x9a,
42 0x9b, 0x9c, 0x9d, 0x9e, 0x9f, 0xa0, 0xa1, 0xa1, 0xa2, 0xa3, 0xa4, 0xa5, 0xa6, 0xa7, 0xa7,
43 0xa8, 0xa9, 0xaa, 0xab, 0xac, 0xac, 0xad, 0xae, 0xaf, 0xb0, 0xb1, 0xb1, 0xb2, 0xb3, 0xb4,
44 0xb5, 0xb5, 0xb6, 0xb7, 0xb8, 0xb8, 0xb9, 0xba, 0xbb, 0xbb, 0xbc, 0xbd, 0xbe, 0xbe, 0xbf,
45 0xc0, 0xc1, 0xc1, 0xc2, 0xc3, 0xc4, 0xc4, 0xc5, 0xc6, 0xc6, 0xc7, 0xc8, 0xc9, 0xc9, 0xca,
46 0xcb, 0xcb, 0xcc, 0xcd, 0xcd, 0xce, 0xcf, 0xcf, 0xd0, 0xd1, 0xd1, 0xd2, 0xd2, 0xd3, 0xd4,
47 0xd4, 0xd5, 0xd6, 0xd6, 0xd7, 0xd7, 0xd8, 0xd9, 0xd9, 0xda, 0xda, 0xdb, 0xdc, 0xdc, 0xdd,
48 0xdd, 0xde, 0xde, 0xdf, 0xdf, 0xe0, 0xe0, 0xe1, 0xe2, 0xe2, 0xe3, 0xe3, 0xe4, 0xe4, 0xe5,
49 0xe5, 0xe6, 0xe6, 0xe7, 0xe7, 0xe8, 0xe8, 0xe8, 0xe9, 0xe9, 0xea, 0xea, 0xeb, 0xeb, 0xec,
50 0xec, 0xec, 0xed, 0xed, 0xee, 0xee, 0xee, 0xef, 0xef, 0xf0, 0xf0, 0xf0, 0xf1, 0xf1, 0xf2,
51 0xf2, 0xf2, 0xf3, 0xf3, 0xf3, 0xf4, 0xf4, 0xf4, 0xf5, 0xf5, 0xf5, 0xf6, 0xf6, 0xf6, 0xf6,
52 0xf7, 0xf7, 0xf7, 0xf8, 0xf8, 0xf8, 0xf8, 0xf9, 0xf9, 0xf9, 0xf9, 0xfa, 0xfa, 0xfa, 0xfa,
53 0xfb, 0xfb, 0xfb, 0xfb, 0xfb, 0xfc, 0xfc, 0xfc, 0xfc, 0xfc, 0xfd, 0xfd, 0xfd, 0xfd, 0xfd,
54 0xfd, 0xfd, 0xfe, 0xfe, 0xfe, 0xfe, 0xfe, 0xfe, 0xfe, 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff,
55 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff
56 };
57
58
59 /**************************************************************************/
60 /* */
61 /* FUNCTION RELEASE */
62 /* */
63 /* _gx_utility_math_sin_5_4_0 PORTABLE C */
64 /* 6.1 */
65 /* AUTHOR */
66 /* */
67 /* Kenneth Maxwell, Microsoft Corporation */
68 /* */
69 /* DESCRIPTION */
70 /* */
71 /* This service computes the sine of the supplied angl, which is an */
72 /* old version of _gx_utility_math_sin. */
73 /* */
74 /* INPUT */
75 /* */
76 /* angle Angle to compute sine of, */
77 /* the input angle should be */
78 /* scaled by 256. */
79 /* */
80 /* OUTPUT */
81 /* */
82 /* sine Sine of supplied angle */
83 /* */
84 /* CALLS */
85 /* */
86 /* None */
87 /* */
88 /* CALLED BY */
89 /* */
90 /* Application Code */
91 /* */
92 /* RELEASE HISTORY */
93 /* */
94 /* DATE NAME DESCRIPTION */
95 /* */
96 /* 05-19-2020 Kenneth Maxwell Initial Version 6.0 */
97 /* 09-30-2020 Kenneth Maxwell Modified comment(s), */
98 /* resulting in version 6.1 */
99 /* */
100 /**************************************************************************/
101 #if defined(GUIX_5_4_0_COMPATIBILITY)
_gx_utility_math_sin_5_4_0(INT angle)102 INT _gx_utility_math_sin_5_4_0(INT angle)
103 {
104 INT y_sign;
105 INT sine;
106
107 /* normalize the incoming angle */
108 while (angle < 0)
109 {
110 angle += (256 * 360);
111 }
112 while (angle > (256 * 360))
113 {
114 angle -= (256 * 360);
115 }
116
117 if ((angle >= 0) && (angle <= 23040))
118 {
119 y_sign = 1;
120 }
121 else if ((angle > 23040) && (angle <= 46080))
122 {
123 angle = 46080 - angle;
124 y_sign = 1;
125 }
126 else if ((angle > 46080) && (angle <= 69120))
127 {
128 angle -= 46080;
129 y_sign = -1;
130 }
131 else
132 {
133 angle = 92160 - angle;
134 y_sign = -1;
135 }
136
137 angle = (angle + 32) >> 6;
138
139 if (angle == 360)
140 {
141 sine = 256 * y_sign;
142 }
143 else
144 {
145 sine = sin_value_table[angle] * y_sign;
146 }
147 return sine;
148 }
149 #endif
150
151 /**************************************************************************/
152 /* */
153 /* FUNCTION RELEASE */
154 /* */
155 /* _gx_utility_math_sin PORTABLE C */
156 /* 6.1 */
157 /* AUTHOR */
158 /* */
159 /* Kenneth Maxwell, Microsoft Corporation */
160 /* */
161 /* DESCRIPTION */
162 /* */
163 /* This service computes the sine of the supplied angle. */
164 /* */
165 /* INPUT */
166 /* */
167 /* angle Angle to compute sine of. */
168 /* The input angle is a fixed */
169 /* point data type, call */
170 /* GX_FIXED_VAL_MAKE to covnert */
171 /* from INT to fixed point data. */
172 /* type. */
173 /* */
174 /* OUTPUT */
175 /* */
176 /* sine Sine of supplied angle. */
177 /* The return sin is a fixed */
178 /* point math data type, call */
179 /* GX_FIXED_VAL_TO_INT to convert*/
180 /* from fixed point data type to */
181 /* int. */
182 /* */
183 /* CALLS */
184 /* */
185 /* None */
186 /* */
187 /* CALLED BY */
188 /* */
189 /* Application Code */
190 /* */
191 /* RELEASE HISTORY */
192 /* */
193 /* DATE NAME DESCRIPTION */
194 /* */
195 /* 05-19-2020 Kenneth Maxwell Initial Version 6.0 */
196 /* 09-30-2020 Kenneth Maxwell Modified comment(s), */
197 /* resulting in version 6.1 */
198 /* */
199 /**************************************************************************/
_gx_utility_math_sin(GX_FIXED_VAL angle)200 GX_FIXED_VAL _gx_utility_math_sin(GX_FIXED_VAL angle)
201 {
202 INT y_sign;
203 INT sine;
204
205 /* normalize the incoming angle */
206 while (angle < 0)
207 {
208 angle += GX_FIXED_VAL_MAKE(360);
209 }
210 while (angle > GX_FIXED_VAL_MAKE(360))
211 {
212 angle -= GX_FIXED_VAL_MAKE(360);
213 }
214
215 if (angle <= GX_FIXED_VAL_MAKE(90))
216 {
217 y_sign = 1;
218 }
219 else if (angle <= GX_FIXED_VAL_MAKE(180))
220 {
221 angle = GX_FIXED_VAL_MAKE(180) - angle;
222 y_sign = 1;
223 }
224 else if (angle <= GX_FIXED_VAL_MAKE(270))
225 {
226 angle -= GX_FIXED_VAL_MAKE(180);
227 y_sign = -1;
228 }
229 else
230 {
231 angle = GX_FIXED_VAL_MAKE(360) - angle;
232 y_sign = -1;
233 }
234
235 angle = angle + (GX_FIXED_VAL_HALF >> 2);
236 angle = GX_FIXED_VAL_TO_INT(angle << 2);
237
238 if (angle == 360)
239 {
240 sine = GX_FIXED_VAL_MAKE(y_sign);
241 }
242 else
243 {
244 sine = GX_FIXED_VAL_MAKE(sin_value_table[angle] * y_sign) >> 8;
245 }
246 return sine;
247 }
248
249