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[/] [openrisc/] [trunk/] [gnu-dev/] [or1k-gcc/] [libgo/] [go/] [math/] [big/] [arith_test.go] - Blame information for rev 814

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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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