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[/] [openrisc/] [trunk/] [gnu-dev/] [or1k-gcc/] [libgo/] [go/] [math/] [big/] [arith_test.go] - Blame information for rev 833

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1 747 jeremybenn
// Copyright 2009 The Go Authors. All rights reserved.
2
// Use of this source code is governed by a BSD-style
3
// license that can be found in the LICENSE file.
4
 
5
package big
6
 
7
import "testing"
8
 
9
type funWW func(x, y, c Word) (z1, z0 Word)
10
type argWW struct {
11
        x, y, c, z1, z0 Word
12
}
13
 
14
var sumWW = []argWW{
15
        {0, 0, 0, 0, 0},
16
        {0, 1, 0, 0, 1},
17
        {0, 0, 1, 0, 1},
18
        {0, 1, 1, 0, 2},
19
        {12345, 67890, 0, 0, 80235},
20
        {12345, 67890, 1, 0, 80236},
21
        {_M, 1, 0, 1, 0},
22
        {_M, 0, 1, 1, 0},
23
        {_M, 1, 1, 1, 1},
24
        {_M, _M, 0, 1, _M - 1},
25
        {_M, _M, 1, 1, _M},
26
}
27
 
28
func testFunWW(t *testing.T, msg string, f funWW, a argWW) {
29
        z1, z0 := f(a.x, a.y, a.c)
30
        if z1 != a.z1 || z0 != a.z0 {
31
                t.Errorf("%s%+v\n\tgot z1:z0 = %#x:%#x; want %#x:%#x", msg, a, z1, z0, a.z1, a.z0)
32
        }
33
}
34
 
35
func TestFunWW(t *testing.T) {
36
        for _, a := range sumWW {
37
                arg := a
38
                testFunWW(t, "addWW_g", addWW_g, arg)
39
 
40
                arg = argWW{a.y, a.x, a.c, a.z1, a.z0}
41
                testFunWW(t, "addWW_g symmetric", addWW_g, arg)
42
 
43
                arg = argWW{a.z0, a.x, a.c, a.z1, a.y}
44
                testFunWW(t, "subWW_g", subWW_g, arg)
45
 
46
                arg = argWW{a.z0, a.y, a.c, a.z1, a.x}
47
                testFunWW(t, "subWW_g symmetric", subWW_g, arg)
48
        }
49
}
50
 
51
type funVV func(z, x, y []Word) (c Word)
52
type argVV struct {
53
        z, x, y nat
54
        c       Word
55
}
56
 
57
var sumVV = []argVV{
58
        {},
59
        {nat{0}, nat{0}, nat{0}, 0},
60
        {nat{1}, nat{1}, nat{0}, 0},
61
        {nat{0}, nat{_M}, nat{1}, 1},
62
        {nat{80235}, nat{12345}, nat{67890}, 0},
63
        {nat{_M - 1}, nat{_M}, nat{_M}, 1},
64
        {nat{0, 0, 0, 0}, nat{_M, _M, _M, _M}, nat{1, 0, 0, 0}, 1},
65
        {nat{0, 0, 0, _M}, nat{_M, _M, _M, _M - 1}, nat{1, 0, 0, 0}, 0},
66
        {nat{0, 0, 0, 0}, nat{_M, 0, _M, 0}, nat{1, _M, 0, _M}, 1},
67
}
68
 
69
func testFunVV(t *testing.T, msg string, f funVV, a argVV) {
70
        z := make(nat, len(a.z))
71
        c := f(z, a.x, a.y)
72
        for i, zi := range z {
73
                if zi != a.z[i] {
74
                        t.Errorf("%s%+v\n\tgot z[%d] = %#x; want %#x", msg, a, i, zi, a.z[i])
75
                        break
76
                }
77
        }
78
        if c != a.c {
79
                t.Errorf("%s%+v\n\tgot c = %#x; want %#x", msg, a, c, a.c)
80
        }
81
}
82
 
83
func TestFunVV(t *testing.T) {
84
        for _, a := range sumVV {
85
                arg := a
86
                testFunVV(t, "addVV_g", addVV_g, arg)
87
                testFunVV(t, "addVV", addVV, arg)
88
 
89
                arg = argVV{a.z, a.y, a.x, a.c}
90
                testFunVV(t, "addVV_g symmetric", addVV_g, arg)
91
                testFunVV(t, "addVV symmetric", addVV, arg)
92
 
93
                arg = argVV{a.x, a.z, a.y, a.c}
94
                testFunVV(t, "subVV_g", subVV_g, arg)
95
                testFunVV(t, "subVV", subVV, arg)
96
 
97
                arg = argVV{a.y, a.z, a.x, a.c}
98
                testFunVV(t, "subVV_g symmetric", subVV_g, arg)
99
                testFunVV(t, "subVV symmetric", subVV, arg)
100
        }
101
}
102
 
103
type funVW func(z, x []Word, y Word) (c Word)
104
type argVW struct {
105
        z, x nat
106
        y    Word
107
        c    Word
108
}
109
 
110
var sumVW = []argVW{
111
        {},
112
        {nil, nil, 2, 2},
113
        {nat{0}, nat{0}, 0, 0},
114
        {nat{1}, nat{0}, 1, 0},
115
        {nat{1}, nat{1}, 0, 0},
116
        {nat{0}, nat{_M}, 1, 1},
117
        {nat{0, 0, 0, 0}, nat{_M, _M, _M, _M}, 1, 1},
118
}
119
 
120
var prodVW = []argVW{
121
        {},
122
        {nat{0}, nat{0}, 0, 0},
123
        {nat{0}, nat{_M}, 0, 0},
124
        {nat{0}, nat{0}, _M, 0},
125
        {nat{1}, nat{1}, 1, 0},
126
        {nat{22793}, nat{991}, 23, 0},
127
        {nat{0, 0, 0, 22793}, nat{0, 0, 0, 991}, 23, 0},
128
        {nat{0, 0, 0, 0}, nat{7893475, 7395495, 798547395, 68943}, 0, 0},
129
        {nat{0, 0, 0, 0}, nat{0, 0, 0, 0}, 894375984, 0},
130
        {nat{_M << 1 & _M}, nat{_M}, 1 << 1, _M >> (_W - 1)},
131
        {nat{_M << 7 & _M}, nat{_M}, 1 << 7, _M >> (_W - 7)},
132
        {nat{_M << 7 & _M, _M, _M, _M}, nat{_M, _M, _M, _M}, 1 << 7, _M >> (_W - 7)},
133
}
134
 
135
var lshVW = []argVW{
136
        {},
137
        {nat{0}, nat{0}, 0, 0},
138
        {nat{0}, nat{0}, 1, 0},
139
        {nat{0}, nat{0}, 20, 0},
140
 
141
        {nat{_M}, nat{_M}, 0, 0},
142
        {nat{_M << 1 & _M}, nat{_M}, 1, 1},
143
        {nat{_M << 20 & _M}, nat{_M}, 20, _M >> (_W - 20)},
144
 
145
        {nat{_M, _M, _M}, nat{_M, _M, _M}, 0, 0},
146
        {nat{_M << 1 & _M, _M, _M}, nat{_M, _M, _M}, 1, 1},
147
        {nat{_M << 20 & _M, _M, _M}, nat{_M, _M, _M}, 20, _M >> (_W - 20)},
148
}
149
 
150
var rshVW = []argVW{
151
        {},
152
        {nat{0}, nat{0}, 0, 0},
153
        {nat{0}, nat{0}, 1, 0},
154
        {nat{0}, nat{0}, 20, 0},
155
 
156
        {nat{_M}, nat{_M}, 0, 0},
157
        {nat{_M >> 1}, nat{_M}, 1, _M << (_W - 1) & _M},
158
        {nat{_M >> 20}, nat{_M}, 20, _M << (_W - 20) & _M},
159
 
160
        {nat{_M, _M, _M}, nat{_M, _M, _M}, 0, 0},
161
        {nat{_M, _M, _M >> 1}, nat{_M, _M, _M}, 1, _M << (_W - 1) & _M},
162
        {nat{_M, _M, _M >> 20}, nat{_M, _M, _M}, 20, _M << (_W - 20) & _M},
163
}
164
 
165
func testFunVW(t *testing.T, msg string, f funVW, a argVW) {
166
        z := make(nat, len(a.z))
167
        c := f(z, a.x, a.y)
168
        for i, zi := range z {
169
                if zi != a.z[i] {
170
                        t.Errorf("%s%+v\n\tgot z[%d] = %#x; want %#x", msg, a, i, zi, a.z[i])
171
                        break
172
                }
173
        }
174
        if c != a.c {
175
                t.Errorf("%s%+v\n\tgot c = %#x; want %#x", msg, a, c, a.c)
176
        }
177
}
178
 
179
func makeFunVW(f func(z, x []Word, s uint) (c Word)) funVW {
180
        return func(z, x []Word, s Word) (c Word) {
181
                return f(z, x, uint(s))
182
        }
183
}
184
 
185
func TestFunVW(t *testing.T) {
186
        for _, a := range sumVW {
187
                arg := a
188
                testFunVW(t, "addVW_g", addVW_g, arg)
189
                testFunVW(t, "addVW", addVW, arg)
190
 
191
                arg = argVW{a.x, a.z, a.y, a.c}
192
                testFunVW(t, "subVW_g", subVW_g, arg)
193
                testFunVW(t, "subVW", subVW, arg)
194
        }
195
 
196
        shlVW_g := makeFunVW(shlVU_g)
197
        shlVW := makeFunVW(shlVU)
198
        for _, a := range lshVW {
199
                arg := a
200
                testFunVW(t, "shlVU_g", shlVW_g, arg)
201
                testFunVW(t, "shlVU", shlVW, arg)
202
        }
203
 
204
        shrVW_g := makeFunVW(shrVU_g)
205
        shrVW := makeFunVW(shrVU)
206
        for _, a := range rshVW {
207
                arg := a
208
                testFunVW(t, "shrVU_g", shrVW_g, arg)
209
                testFunVW(t, "shrVU", shrVW, arg)
210
        }
211
}
212
 
213
type funVWW func(z, x []Word, y, r Word) (c Word)
214
type argVWW struct {
215
        z, x nat
216
        y, r Word
217
        c    Word
218
}
219
 
220
var prodVWW = []argVWW{
221
        {},
222
        {nat{0}, nat{0}, 0, 0, 0},
223
        {nat{991}, nat{0}, 0, 991, 0},
224
        {nat{0}, nat{_M}, 0, 0, 0},
225
        {nat{991}, nat{_M}, 0, 991, 0},
226
        {nat{0}, nat{0}, _M, 0, 0},
227
        {nat{991}, nat{0}, _M, 991, 0},
228
        {nat{1}, nat{1}, 1, 0, 0},
229
        {nat{992}, nat{1}, 1, 991, 0},
230
        {nat{22793}, nat{991}, 23, 0, 0},
231
        {nat{22800}, nat{991}, 23, 7, 0},
232
        {nat{0, 0, 0, 22793}, nat{0, 0, 0, 991}, 23, 0, 0},
233
        {nat{7, 0, 0, 22793}, nat{0, 0, 0, 991}, 23, 7, 0},
234
        {nat{0, 0, 0, 0}, nat{7893475, 7395495, 798547395, 68943}, 0, 0, 0},
235
        {nat{991, 0, 0, 0}, nat{7893475, 7395495, 798547395, 68943}, 0, 991, 0},
236
        {nat{0, 0, 0, 0}, nat{0, 0, 0, 0}, 894375984, 0, 0},
237
        {nat{991, 0, 0, 0}, nat{0, 0, 0, 0}, 894375984, 991, 0},
238
        {nat{_M << 1 & _M}, nat{_M}, 1 << 1, 0, _M >> (_W - 1)},
239
        {nat{_M<<1&_M + 1}, nat{_M}, 1 << 1, 1, _M >> (_W - 1)},
240
        {nat{_M << 7 & _M}, nat{_M}, 1 << 7, 0, _M >> (_W - 7)},
241
        {nat{_M<<7&_M + 1<<6}, nat{_M}, 1 << 7, 1 << 6, _M >> (_W - 7)},
242
        {nat{_M << 7 & _M, _M, _M, _M}, nat{_M, _M, _M, _M}, 1 << 7, 0, _M >> (_W - 7)},
243
        {nat{_M<<7&_M + 1<<6, _M, _M, _M}, nat{_M, _M, _M, _M}, 1 << 7, 1 << 6, _M >> (_W - 7)},
244
}
245
 
246
func testFunVWW(t *testing.T, msg string, f funVWW, a argVWW) {
247
        z := make(nat, len(a.z))
248
        c := f(z, a.x, a.y, a.r)
249
        for i, zi := range z {
250
                if zi != a.z[i] {
251
                        t.Errorf("%s%+v\n\tgot z[%d] = %#x; want %#x", msg, a, i, zi, a.z[i])
252
                        break
253
                }
254
        }
255
        if c != a.c {
256
                t.Errorf("%s%+v\n\tgot c = %#x; want %#x", msg, a, c, a.c)
257
        }
258
}
259
 
260
// TODO(gri) mulAddVWW and divWVW are symmetric operations but
261
//           their signature is not symmetric. Try to unify.
262
 
263
type funWVW func(z []Word, xn Word, x []Word, y Word) (r Word)
264
type argWVW struct {
265
        z  nat
266
        xn Word
267
        x  nat
268
        y  Word
269
        r  Word
270
}
271
 
272
func testFunWVW(t *testing.T, msg string, f funWVW, a argWVW) {
273
        z := make(nat, len(a.z))
274
        r := f(z, a.xn, a.x, a.y)
275
        for i, zi := range z {
276
                if zi != a.z[i] {
277
                        t.Errorf("%s%+v\n\tgot z[%d] = %#x; want %#x", msg, a, i, zi, a.z[i])
278
                        break
279
                }
280
        }
281
        if r != a.r {
282
                t.Errorf("%s%+v\n\tgot r = %#x; want %#x", msg, a, r, a.r)
283
        }
284
}
285
 
286
func TestFunVWW(t *testing.T) {
287
        for _, a := range prodVWW {
288
                arg := a
289
                testFunVWW(t, "mulAddVWW_g", mulAddVWW_g, arg)
290
                testFunVWW(t, "mulAddVWW", mulAddVWW, arg)
291
 
292
                if a.y != 0 && a.r < a.y {
293
                        arg := argWVW{a.x, a.c, a.z, a.y, a.r}
294
                        testFunWVW(t, "divWVW_g", divWVW_g, arg)
295
                        testFunWVW(t, "divWVW", divWVW, arg)
296
                }
297
        }
298
}
299
 
300
var mulWWTests = []struct {
301
        x, y Word
302
        q, r Word
303
}{
304
        {_M, _M, _M - 1, 1},
305
        // 32 bit only: {0xc47dfa8c, 50911, 0x98a4, 0x998587f4},
306
}
307
 
308
func TestMulWW(t *testing.T) {
309
        for i, test := range mulWWTests {
310
                q, r := mulWW_g(test.x, test.y)
311
                if q != test.q || r != test.r {
312
                        t.Errorf("#%d got (%x, %x) want (%x, %x)", i, q, r, test.q, test.r)
313
                }
314
        }
315
}
316
 
317
var mulAddWWWTests = []struct {
318
        x, y, c Word
319
        q, r    Word
320
}{
321
        // TODO(agl): These will only work on 64-bit platforms.
322
        // {15064310297182388543, 0xe7df04d2d35d5d80, 13537600649892366549, 13644450054494335067, 10832252001440893781},
323
        // {15064310297182388543, 0xdab2f18048baa68d, 13644450054494335067, 12869334219691522700, 14233854684711418382},
324
        {_M, _M, 0, _M - 1, 1},
325
        {_M, _M, _M, _M, 0},
326
}
327
 
328
func TestMulAddWWW(t *testing.T) {
329
        for i, test := range mulAddWWWTests {
330
                q, r := mulAddWWW_g(test.x, test.y, test.c)
331
                if q != test.q || r != test.r {
332
                        t.Errorf("#%d got (%x, %x) want (%x, %x)", i, q, r, test.q, test.r)
333
                }
334
        }
335
}
336
 
337
func testWordBitLen(t *testing.T, fname string, f func(Word) int) {
338
        for i := 0; i <= _W; i++ {
339
                x := Word(1) << uint(i-1) // i == 0 => x == 0
340
                n := f(x)
341
                if n != i {
342
                        t.Errorf("got %d; want %d for %s(%#x)", n, i, fname, x)
343
                }
344
        }
345
}
346
 
347
func TestWordBitLen(t *testing.T) {
348
        testWordBitLen(t, "bitLen", bitLen)
349
        testWordBitLen(t, "bitLen_g", bitLen_g)
350
}
351
 
352
// runs b.N iterations of bitLen called on a Word containing (1 << nbits)-1.
353
func benchmarkBitLenN(b *testing.B, nbits uint) {
354
        testword := Word((uint64(1) << nbits) - 1)
355
        for i := 0; i < b.N; i++ {
356
                bitLen(testword)
357
        }
358
}
359
 
360
// Individual bitLen tests.  Numbers chosen to examine both sides
361
// of powers-of-two boundaries.
362
func BenchmarkBitLen0(b *testing.B)  { benchmarkBitLenN(b, 0) }
363
func BenchmarkBitLen1(b *testing.B)  { benchmarkBitLenN(b, 1) }
364
func BenchmarkBitLen2(b *testing.B)  { benchmarkBitLenN(b, 2) }
365
func BenchmarkBitLen3(b *testing.B)  { benchmarkBitLenN(b, 3) }
366
func BenchmarkBitLen4(b *testing.B)  { benchmarkBitLenN(b, 4) }
367
func BenchmarkBitLen5(b *testing.B)  { benchmarkBitLenN(b, 5) }
368
func BenchmarkBitLen8(b *testing.B)  { benchmarkBitLenN(b, 8) }
369
func BenchmarkBitLen9(b *testing.B)  { benchmarkBitLenN(b, 9) }
370
func BenchmarkBitLen16(b *testing.B) { benchmarkBitLenN(b, 16) }
371
func BenchmarkBitLen17(b *testing.B) { benchmarkBitLenN(b, 17) }
372
func BenchmarkBitLen31(b *testing.B) { benchmarkBitLenN(b, 31) }

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