v2 / vlib / math / bits / bits_test.v
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1//
2// test suite for bits and bits math functions
3//
4module bits
5
6fn test_bits() {
7 mut i := 0
8 mut i1 := u64(0)
9
10 //
11 // --- LeadingZeros ---
12 //
13
14 // 8 bit
15 i = 1
16 for x in 0 .. 8 {
17 // C.printf("x:%02x lz: %d cmp: %d\n", i << x, leading_zeros_8(i << x), 7-x)
18 assert leading_zeros_8(u8(u8(i) << x)) == 7 - x
19 }
20 assert leading_zeros_8(0) == 8
21
22 // 16 bit
23 i = 1
24 for x in 0 .. 16 {
25 // C.printf("x:%04x lz: %d cmp: %d\n", u16(i) << x, leading_zeros_16(u16(i) << x), 15-x)
26 assert leading_zeros_16(u16(i) << x) == 15 - x
27 }
28 assert leading_zeros_16(0) == 16
29
30 // 32 bit
31 i = 1
32 for x in 0 .. 32 {
33 // C.printf("x:%08x lz: %d cmp: %d\n", u32(i) << x, leading_zeros_32(u32(i) << x), 31-x)
34 assert leading_zeros_32(u32(i) << x) == 31 - x
35 }
36 assert leading_zeros_32(0) == 32
37
38 // 64 bit
39 i = 1
40 for x in 0 .. 64 {
41 // C.printf("x:%016llx lz: %llu cmp: %d\n", u64(i) << x, leading_zeros_64(u64(i) << x), 63-x)
42 assert leading_zeros_64(u64(i) << x) == 63 - x
43 }
44 assert leading_zeros_64(0) == 64
45
46 //
47 // --- TrailingZeros ---
48 //
49
50 // 8 bit
51 i = 1
52 for x in 0 .. 8 {
53 assert trailing_zeros_8(u8(u8(i) << x)) == x
54 }
55 assert trailing_zeros_8(0) == 8
56
57 // 16 bit
58 i = 1
59 for x in 0 .. 16 {
60 assert trailing_zeros_16(u16(i) << x) == x
61 }
62 assert trailing_zeros_16(0) == 16
63
64 // 32 bit
65 i = 1
66 for x in 0 .. 32 {
67 assert trailing_zeros_32(u32(i) << x) == x
68 }
69 assert trailing_zeros_32(0) == 32
70
71 // 64 bit
72 i = 1
73 for x in 0 .. 64 {
74 assert trailing_zeros_64(u64(i) << x) == x
75 }
76 assert trailing_zeros_64(0) == 64
77
78 //
79 // --- ones_count ---
80 //
81
82 // 8 bit
83 i = 0
84 for x in 0 .. 9 {
85 // C.printf("x:%02x lz: %llu cmp: %d\n", u8(i), ones_count_8(u8(i)), x)
86 assert ones_count_8(u8(i)) == x
87 i = int(u32(i) << 1) + 1
88 }
89 assert ones_count_8(0) == 0
90 assert ones_count_8(0xFF) == 8
91
92 // 16 bit
93 i = 0
94 for x in 0 .. 17 {
95 // C.printf("x:%04x lz: %llu cmp: %d\n", u16(i), ones_count_16(u16(i)), x)
96 assert ones_count_16(u16(i)) == x
97 i = int(u32(i) << 1) + 1
98 }
99 assert ones_count_16(0) == 0
100 assert ones_count_16(0xFFFF) == 16
101
102 // 32 bit
103 i = 0
104 for x in 0 .. 33 {
105 // C.printf("x:%08x lz: %llu cmp: %d\n", u32(i), ones_count_32(u32(i)), x)
106 assert ones_count_32(u32(i)) == x
107 i = int(u32(i) << 1) + 1
108 }
109 assert ones_count_32(0) == 0
110 assert ones_count_32(0xFFFF_FFFF) == 32
111
112 // 64 bit
113 i1 = 0
114 for x in 0 .. 65 {
115 // C.printf("x:%016llx lz: %llu cmp: %d\n", u64(i1), ones_count_64(u64(i1)), x)
116 assert ones_count_64(i1) == x
117 i1 = (i1 << 1) + 1
118 }
119 assert ones_count_64(0) == 0
120 assert ones_count_64(0xFFFF_FFFF_FFFF_FFFF) == 64
121
122 //
123 // --- rotate_left/right ---
124 //
125 assert rotate_left_8(0x12, 4) == 0x21
126 assert rotate_left_16(0x1234, 8) == 0x3412
127 assert rotate_left_32(0x12345678, 16) == 0x56781234
128 assert rotate_left_64(0x1234567887654321, 32) == 0x8765432112345678
129
130 //
131 // --- reverse ---
132 //
133
134 // 8 bit
135 i = 0
136 for _ in 0 .. 9 {
137 mut rv := u8(0)
138 mut bc := 0
139 mut n := i
140 for bc < 8 {
141 rv = (rv << 1) | (u8(n) & 0x01)
142 bc++
143 n = n >> 1
144 }
145 // C.printf("x:%02x lz: %llu cmp: %d\n", u8(i), reverse_8(u8(i)), rv)
146 assert reverse_8(u8(i)) == rv
147 i = int(u32(i) << 1) + 1
148 }
149
150 // 16 bit
151 i = 0
152 for _ in 0 .. 17 {
153 mut rv := u16(0)
154 mut bc := 0
155 mut n := i
156 for bc < 16 {
157 rv = (rv << 1) | (u16(n) & 0x01)
158 bc++
159 n = n >> 1
160 }
161 // C.printf("x:%04x lz: %llu cmp: %d\n", u16(i), reverse_16(u16(i)), rv)
162 assert reverse_16(u16(i)) == rv
163 i = int(u32(i) << 1) + 1
164 }
165
166 // 32 bit
167 i = 0
168 for _ in 0 .. 33 {
169 mut rv := u32(0)
170 mut bc := 0
171 mut n := i
172 for bc < 32 {
173 rv = (rv << 1) | (u32(n) & 0x01)
174 bc++
175 n = n >> 1
176 }
177 // C.printf("x:%08x lz: %llu cmp: %d\n", u32(i), reverse_32(u32(i)), rv)
178 assert reverse_32(u32(i)) == rv
179 i = int(u32(i) << 1) + 1
180 }
181
182 // 64 bit
183 i1 = 0
184 for _ in 0 .. 64 {
185 mut rv := u64(0)
186 mut bc := 0
187 mut n := i1
188 for bc < 64 {
189 rv = (rv << 1) | (n & 0x01)
190 bc++
191 n = n >> 1
192 }
193 // C.printf("x:%016llx lz: %016llx cmp: %016llx\n", u64(i1), reverse_64(u64(i1)), rv)
194 assert reverse_64(i1) == rv
195 i1 = (i1 << 1) + 1
196 }
197
198 //
199 // --- add ---
200 //
201
202 // 32 bit
203 i = 1
204 for x in 0 .. 32 {
205 v := u32(i) << x
206 sum, carry := add_32(v, v, u32(0))
207 // C.printf("x:%08x [%llu,%llu] %llu\n", u32(i) << x, sum, carry, u64(v) + u64(v))
208 assert ((u64(carry) << 32) | u64(sum)) == u64(v) + u64(v)
209 }
210 mut sum_32t, mut carry_32t := add_32(0x8000_0000, 0x8000_0000, u32(0))
211 assert sum_32t == u32(0)
212 assert carry_32t == u32(1)
213
214 sum_32t, carry_32t = add_32(0xFFFF_FFFF, 0xFFFF_FFFF, u32(1))
215 assert sum_32t == 0xFFFF_FFFF
216 assert carry_32t == u32(1)
217
218 // 64 bit
219 i = 1
220 for x in 0 .. 63 {
221 v := u64(i) << x
222 sum, carry := add_64(v, v, u64(0))
223 // C.printf("x:%16x [%llu,%llu] %llu\n", u64(i) << x, sum, carry, u64(v >> 32) + u64(v >> 32))
224 assert ((carry << 32) | sum) == v + v
225 }
226 mut sum_64t, mut carry_64t := add_64(0x8000_0000_0000_0000, 0x8000_0000_0000_0000, u64(0))
227 assert sum_64t == u64(0)
228 assert carry_64t == u64(1)
229
230 sum_64t, carry_64t = add_64(0xFFFF_FFFF_FFFF_FFFF, 0xFFFF_FFFF_FFFF_FFFF, u64(1))
231 assert sum_64t == 0xFFFF_FFFF_FFFF_FFFF
232 assert carry_64t == u64(1)
233
234 //
235 // --- sub ---
236 //
237
238 // 32 bit
239 i = 1
240 for x in 1 .. 32 {
241 v0 := u32(i) << x
242 v1 := v0 >> 1
243 mut diff, mut borrow_out := sub_32(v0, v1, u32(0))
244 // C.printf("x:%08x [%llu,%llu] %08x\n", u32(i) << x, diff, borrow_out, v0 - v1)
245 assert diff == v1
246
247 diff, borrow_out = sub_32(v0, v1, u32(1))
248 // C.printf("x:%08x [%llu,%llu] %08x\n", u32(i) << x, diff, borrow_out, v0 - v1)
249 assert diff == (v1 - 1)
250 assert borrow_out == u32(0)
251
252 diff, borrow_out = sub_32(v1, v0, u32(1))
253 // C.printf("x:%08x [%llu,%llu] %08x\n", u32(i) << x, diff, borrow_out, v1 - v0)
254 assert borrow_out == u32(1)
255 }
256
257 // 64 bit
258 i = 1
259 for x in 1 .. 64 {
260 v0 := u64(i) << x
261 v1 := v0 >> 1
262 mut diff, mut borrow_out := sub_64(v0, v1, u64(0))
263 // C.printf("x:%08x [%llu,%llu] %08x\n", u64(i) << x, diff, borrow_out, v0 - v1)
264 assert diff == v1
265
266 diff, borrow_out = sub_64(v0, v1, u64(1))
267 // C.printf("x:%08x [%llu,%llu] %08x\n", u64(i) << x, diff, borrow_out, v0 - v1)
268 assert diff == (v1 - 1)
269 assert borrow_out == u64(0)
270
271 diff, borrow_out = sub_64(v1, v0, u64(1))
272 // C.printf("x:%08x [%llu,%llu] %08x\n",u64(i) << x, diff, borrow_out, v1 - v0)
273 assert borrow_out == u64(1)
274 }
275
276 //
277 // --- mul ---
278 //
279
280 // 32 bit
281 i = 1
282 for x in 0 .. 32 {
283 v0 := u32(i) << x
284 v1 := v0 - 1
285 hi, lo := mul_32(v0, v1)
286 assert (u64(hi) << 32) | (u64(lo)) == u64(v0) * u64(v1)
287 v2 := u32(x)
288 h, l := mul_add_32(v0, v1, v2)
289 assert (u64(h) << 32) | (u64(l)) == u64(v0) * u64(v1) + u64(v2)
290 }
291
292 // 64 bit
293 i = 1
294 for x in 0 .. 64 {
295 v0 := u64(i) << x
296 v1 := v0 - 1
297 hi, lo := mul_64(v0, v1)
298 // C.printf("v0: %llu v1: %llu [%llu,%llu] tt: %llu\n", v0, v1, hi, lo, (v0 >> 32) * (v1 >> 32))
299 assert (hi & 0xFFFF_FFFF_0000_0000) == (((v0 >> 32) * (v1 >> 32)) & 0xFFFF_FFFF_0000_0000)
300 assert (lo & 0x0000_0000_FFFF_FFFF) == (((v0 & 0x0000_0000_FFFF_FFFF) * (v1 & 0x0000_0000_FFFF_FFFF)) & 0x0000_0000_FFFF_FFFF)
301 v2 := u64(x)
302 h, l := mul_add_64(v0, v1, v2)
303 assert (h & 0xFFFF_FFFF_0000_0000) == (((v0 >> 32) * (v1 >> 32)) & 0xFFFF_FFFF_0000_0000)
304 assert (l & 0x0000_0000_FFFF_FFFF) == ((
305 (v0 & 0x0000_0000_FFFF_FFFF) * (v1 & 0x0000_0000_FFFF_FFFF) + v2) & 0x0000_0000_FFFF_FFFF)
306 }
307
308 //
309 // --- div ---
310 //
311
312 // 32 bit
313 i = 1
314 for x in 0 .. 31 {
315 hi := u32(i) << x
316 lo := hi - 1
317 y := u32(3) << x
318 quo, rem := div_32(hi, lo, y)
319 // C.printf("[%08x_%08x] %08x (%08x,%08x)\n", hi, lo, y, quo, rem)
320 tst := ((u64(hi) << 32) | u64(lo))
321 assert quo == (tst / u64(y))
322 assert rem == (tst % u64(y))
323 assert rem == rem_32(hi, lo, y)
324 }
325
326 // 64 bit
327 i = 1
328 for x in 0 .. 62 {
329 hi := u64(i) << x
330 lo := u64(2) // hi - 1
331 y := u64(0x4000_0000_0000_0000)
332 quo, rem := div_64(hi, lo, y)
333 // C.printf("[%016llx_%016llx] %016llx (%016llx,%016llx)\n", hi, lo, y, quo, rem)
334 assert quo == u64(2) << (x + 1)
335 _, rem1 := div_64(hi % y, lo, y)
336 assert rem == rem1
337 assert rem == rem_64(hi, lo, y)
338 }
339}
340
341fn test_div_64_edge_cases() {
342 qq, rr := div_64(10, 12, 11)
343 assert qq == 16769767339735956015
344 assert rr == 7
345 q, r := div_64(0, 23, 10000000000000000000)
346 assert q == 0
347 assert r == 23
348}
349