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[/] [openrisc/] [trunk/] [gnu-dev/] [or1k-gcc/] [libgo/] [go/] [math/] [big/] [rat_test.go] - Blame information for rev 747

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Line No. Rev Author Line
1 747 jeremybenn 
// Copyright 2010 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 (
8 
        "bytes"
9 
        "encoding/gob"
10 
        "fmt"
11 
        "testing"
12 
)
13 
 
14 
func TestZeroRat(t *testing.T) {
15 
        var x, y, z Rat
16 
        y.SetFrac64(0, 42)
17 
 
18 
        if x.Cmp(&y) != 0 {
19 
                t.Errorf("x and y should be both equal and zero")
20 
        }
21 
 
22 
        if s := x.String(); s != "0/1" {
23 
                t.Errorf("got x = %s, want 0/1", s)
24 
        }
25 
 
26 
        if s := x.RatString(); s != "0" {
27 
                t.Errorf("got x = %s, want 0", s)
28 
        }
29 
 
30 
        z.Add(&x, &y)
31 
        if s := z.RatString(); s != "0" {
32 
                t.Errorf("got x+y = %s, want 0", s)
33 
        }
34 
 
35 
        z.Sub(&x, &y)
36 
        if s := z.RatString(); s != "0" {
37 
                t.Errorf("got x-y = %s, want 0", s)
38 
        }
39 
 
40 
        z.Mul(&x, &y)
41 
        if s := z.RatString(); s != "0" {
42 
                t.Errorf("got x*y = %s, want 0", s)
43 
        }
44 
 
45 
        // check for division by zero
46 
        defer func() {
47 
                if s := recover(); s == nil || s.(string) != "division by zero" {
48 
                        panic(s)
49 
                }
50 
        }()
51 
        z.Quo(&x, &y)
52 
}
53 
 
54 
var setStringTests = []struct {
55 
        in, out string
56 
        ok      bool
57 
}{
58 
        {"0", "0", true},
59 
        {"-0", "0", true},
60 
        {"1", "1", true},
61 
        {"-1", "-1", true},
62 
        {"1.", "1", true},
63 
        {"1e0", "1", true},
64 
        {"1.e1", "10", true},
65 
        {in: "1e", ok: false},
66 
        {in: "1.e", ok: false},
67 
        {in: "1e+14e-5", ok: false},
68 
        {in: "1e4.5", ok: false},
69 
        {in: "r", ok: false},
70 
        {in: "a/b", ok: false},
71 
        {in: "a.b", ok: false},
72 
        {"-0.1", "-1/10", true},
73 
        {"-.1", "-1/10", true},
74 
        {"2/4", "1/2", true},
75 
        {".25", "1/4", true},
76 
        {"-1/5", "-1/5", true},
77 
        {"8129567.7690E14", "812956776900000000000", true},
78 
        {"78189e+4", "781890000", true},
79 
        {"553019.8935e+8", "55301989350000", true},
80 
        {"98765432109876543210987654321e-10", "98765432109876543210987654321/10000000000", true},
81 
        {"9877861857500000E-7", "3951144743/4", true},
82 
        {"2169378.417e-3", "2169378417/1000000", true},
83 
        {"884243222337379604041632732738665534", "884243222337379604041632732738665534", true},
84 
        {"53/70893980658822810696", "53/70893980658822810696", true},
85 
        {"106/141787961317645621392", "53/70893980658822810696", true},
86 
        {"204211327800791583.81095", "4084226556015831676219/20000", true},
87 
}
88 
 
89 
func TestRatSetString(t *testing.T) {
90 
        for i, test := range setStringTests {
91 
                x, ok := new(Rat).SetString(test.in)
92 
 
93 
                if ok {
94 
                        if !test.ok {
95 
                                t.Errorf("#%d SetString(%q) expected failure", i, test.in)
96 
                        } else if x.RatString() != test.out {
97 
                                t.Errorf("#%d SetString(%q) got %s want %s", i, test.in, x.RatString(), test.out)
98 
                        }
99 
                } else if x != nil {
100 
                        t.Errorf("#%d SetString(%q) got %p want nil", i, test.in, x)
101 
                }
102 
        }
103 
}
104 
 
105 
func TestRatScan(t *testing.T) {
106 
        var buf bytes.Buffer
107 
        for i, test := range setStringTests {
108 
                x := new(Rat)
109 
                buf.Reset()
110 
                buf.WriteString(test.in)
111 
 
112 
                _, err := fmt.Fscanf(&buf, "%v", x)
113 
                if err == nil != test.ok {
114 
                        if test.ok {
115 
                                t.Errorf("#%d error: %s", i, err)
116 
                        } else {
117 
                                t.Errorf("#%d expected error", i)
118 
                        }
119 
                        continue
120 
                }
121 
                if err == nil && x.RatString() != test.out {
122 
                        t.Errorf("#%d got %s want %s", i, x.RatString(), test.out)
123 
                }
124 
        }
125 
}
126 
 
127 
var floatStringTests = []struct {
128 
        in   string
129 
        prec int
130 
        out  string
131 
}{
132 
        {"0", 0, "0"},
133 
        {"0", 4, "0.0000"},
134 
        {"1", 0, "1"},
135 
        {"1", 2, "1.00"},
136 
        {"-1", 0, "-1"},
137 
        {".25", 2, "0.25"},
138 
        {".25", 1, "0.3"},
139 
        {".25", 3, "0.250"},
140 
        {"-1/3", 3, "-0.333"},
141 
        {"-2/3", 4, "-0.6667"},
142 
        {"0.96", 1, "1.0"},
143 
        {"0.999", 2, "1.00"},
144 
        {"0.9", 0, "1"},
145 
        {".25", -1, "0"},
146 
        {".55", -1, "1"},
147 
}
148 
 
149 
func TestFloatString(t *testing.T) {
150 
        for i, test := range floatStringTests {
151 
                x, _ := new(Rat).SetString(test.in)
152 
 
153 
                if x.FloatString(test.prec) != test.out {
154 
                        t.Errorf("#%d got %s want %s", i, x.FloatString(test.prec), test.out)
155 
                }
156 
        }
157 
}
158 
 
159 
func TestRatSign(t *testing.T) {
160 
        zero := NewRat(0, 1)
161 
        for _, a := range setStringTests {
162 
                x, ok := new(Rat).SetString(a.in)
163 
                if !ok {
164 
                        continue
165 
                }
166 
                s := x.Sign()
167 
                e := x.Cmp(zero)
168 
                if s != e {
169 
                        t.Errorf("got %d; want %d for z = %v", s, e, &x)
170 
                }
171 
        }
172 
}
173 
 
174 
var ratCmpTests = []struct {
175 
        rat1, rat2 string
176 
        out        int
177 
}{
178 
        {"0", "0/1", 0},
179 
        {"1/1", "1", 0},
180 
        {"-1", "-2/2", 0},
181 
        {"1", "0", 1},
182 
        {"0/1", "1/1", -1},
183 
        {"-5/1434770811533343057144", "-5/1434770811533343057145", -1},
184 
        {"49832350382626108453/8964749413", "49832350382626108454/8964749413", -1},
185 
        {"-37414950961700930/7204075375675961", "37414950961700930/7204075375675961", -1},
186 
        {"37414950961700930/7204075375675961", "74829901923401860/14408150751351922", 0},
187 
}
188 
 
189 
func TestRatCmp(t *testing.T) {
190 
        for i, test := range ratCmpTests {
191 
                x, _ := new(Rat).SetString(test.rat1)
192 
                y, _ := new(Rat).SetString(test.rat2)
193 
 
194 
                out := x.Cmp(y)
195 
                if out != test.out {
196 
                        t.Errorf("#%d got out = %v; want %v", i, out, test.out)
197 
                }
198 
        }
199 
}
200 
 
201 
func TestIsInt(t *testing.T) {
202 
        one := NewInt(1)
203 
        for _, a := range setStringTests {
204 
                x, ok := new(Rat).SetString(a.in)
205 
                if !ok {
206 
                        continue
207 
                }
208 
                i := x.IsInt()
209 
                e := x.Denom().Cmp(one) == 0
210 
                if i != e {
211 
                        t.Errorf("got IsInt(%v) == %v; want %v", x, i, e)
212 
                }
213 
        }
214 
}
215 
 
216 
func TestRatAbs(t *testing.T) {
217 
        zero := new(Rat)
218 
        for _, a := range setStringTests {
219 
                x, ok := new(Rat).SetString(a.in)
220 
                if !ok {
221 
                        continue
222 
                }
223 
                e := new(Rat).Set(x)
224 
                if e.Cmp(zero) < 0 {
225 
                        e.Sub(zero, e)
226 
                }
227 
                z := new(Rat).Abs(x)
228 
                if z.Cmp(e) != 0 {
229 
                        t.Errorf("got Abs(%v) = %v; want %v", x, z, e)
230 
                }
231 
        }
232 
}
233 
 
234 
func TestRatNeg(t *testing.T) {
235 
        zero := new(Rat)
236 
        for _, a := range setStringTests {
237 
                x, ok := new(Rat).SetString(a.in)
238 
                if !ok {
239 
                        continue
240 
                }
241 
                e := new(Rat).Sub(zero, x)
242 
                z := new(Rat).Neg(x)
243 
                if z.Cmp(e) != 0 {
244 
                        t.Errorf("got Neg(%v) = %v; want %v", x, z, e)
245 
                }
246 
        }
247 
}
248 
 
249 
func TestRatInv(t *testing.T) {
250 
        zero := new(Rat)
251 
        for _, a := range setStringTests {
252 
                x, ok := new(Rat).SetString(a.in)
253 
                if !ok {
254 
                        continue
255 
                }
256 
                if x.Cmp(zero) == 0 {
257 
                        continue // avoid division by zero
258 
                }
259 
                e := new(Rat).SetFrac(x.Denom(), x.Num())
260 
                z := new(Rat).Inv(x)
261 
                if z.Cmp(e) != 0 {
262 
                        t.Errorf("got Inv(%v) = %v; want %v", x, z, e)
263 
                }
264 
        }
265 
}
266 
 
267 
type ratBinFun func(z, x, y *Rat) *Rat
268 
type ratBinArg struct {
269 
        x, y, z string
270 
}
271 
 
272 
func testRatBin(t *testing.T, i int, name string, f ratBinFun, a ratBinArg) {
273 
        x, _ := new(Rat).SetString(a.x)
274 
        y, _ := new(Rat).SetString(a.y)
275 
        z, _ := new(Rat).SetString(a.z)
276 
        out := f(new(Rat), x, y)
277 
 
278 
        if out.Cmp(z) != 0 {
279 
                t.Errorf("%s #%d got %s want %s", name, i, out, z)
280 
        }
281 
}
282 
 
283 
var ratBinTests = []struct {
284 
        x, y      string
285 
        sum, prod string
286 
}{
287 
        {"0", "0", "0", "0"},
288 
        {"0", "1", "1", "0"},
289 
        {"-1", "0", "-1", "0"},
290 
        {"-1", "1", "0", "-1"},
291 
        {"1", "1", "2", "1"},
292 
        {"1/2", "1/2", "1", "1/4"},
293 
        {"1/4", "1/3", "7/12", "1/12"},
294 
        {"2/5", "-14/3", "-64/15", "-28/15"},
295 
        {"4707/49292519774798173060", "-3367/70976135186689855734", "84058377121001851123459/1749296273614329067191168098769082663020", "-1760941/388732505247628681598037355282018369560"},
296 
        {"-61204110018146728334/3", "-31052192278051565633/2", "-215564796870448153567/6", "950260896245257153059642991192710872711/3"},
297 
        {"-854857841473707320655/4237645934602118692642972629634714039", "-18/31750379913563777419", "-27/133467566250814981", "15387441146526731771790/134546868362786310073779084329032722548987800600710485341"},
298 
        {"618575745270541348005638912139/19198433543745179392300736", "-19948846211000086/637313996471", "27674141753240653/30123979153216", "-6169936206128396568797607742807090270137721977/6117715203873571641674006593837351328"},
299 
        {"-3/26206484091896184128", "5/2848423294177090248", "15310893822118706237/9330894968229805033368778458685147968", "-5/24882386581946146755650075889827061248"},
300 
        {"26946729/330400702820", "41563965/225583428284", "1238218672302860271/4658307703098666660055", "224002580204097/14906584649915733312176"},
301 
        {"-8259900599013409474/7", "-84829337473700364773/56707961321161574960", "-468402123685491748914621885145127724451/396955729248131024720", "350340947706464153265156004876107029701/198477864624065512360"},
302 
        {"575775209696864/1320203974639986246357", "29/712593081308", "410331716733912717985762465/940768218243776489278275419794956", "808/45524274987585732633"},
303 
        {"1786597389946320496771/2066653520653241", "6269770/1992362624741777", "3559549865190272133656109052308126637/4117523232840525481453983149257", "8967230/3296219033"},
304 
        {"-36459180403360509753/32150500941194292113930", "9381566963714/9633539", "301622077145533298008420642898530153/309723104686531919656937098270", "-3784609207827/3426986245"},
305 
}
306 
 
307 
func TestRatBin(t *testing.T) {
308 
        for i, test := range ratBinTests {
309 
                arg := ratBinArg{test.x, test.y, test.sum}
310 
                testRatBin(t, i, "Add", (*Rat).Add, arg)
311 
 
312 
                arg = ratBinArg{test.y, test.x, test.sum}
313 
                testRatBin(t, i, "Add symmetric", (*Rat).Add, arg)
314 
 
315 
                arg = ratBinArg{test.sum, test.x, test.y}
316 
                testRatBin(t, i, "Sub", (*Rat).Sub, arg)
317 
 
318 
                arg = ratBinArg{test.sum, test.y, test.x}
319 
                testRatBin(t, i, "Sub symmetric", (*Rat).Sub, arg)
320 
 
321 
                arg = ratBinArg{test.x, test.y, test.prod}
322 
                testRatBin(t, i, "Mul", (*Rat).Mul, arg)
323 
 
324 
                arg = ratBinArg{test.y, test.x, test.prod}
325 
                testRatBin(t, i, "Mul symmetric", (*Rat).Mul, arg)
326 
 
327 
                if test.x != "0" {
328 
                        arg = ratBinArg{test.prod, test.x, test.y}
329 
                        testRatBin(t, i, "Quo", (*Rat).Quo, arg)
330 
                }
331 
 
332 
                if test.y != "0" {
333 
                        arg = ratBinArg{test.prod, test.y, test.x}
334 
                        testRatBin(t, i, "Quo symmetric", (*Rat).Quo, arg)
335 
                }
336 
        }
337 
}
338 
 
339 
func TestIssue820(t *testing.T) {
340 
        x := NewRat(3, 1)
341 
        y := NewRat(2, 1)
342 
        z := y.Quo(x, y)
343 
        q := NewRat(3, 2)
344 
        if z.Cmp(q) != 0 {
345 
                t.Errorf("got %s want %s", z, q)
346 
        }
347 
 
348 
        y = NewRat(3, 1)
349 
        x = NewRat(2, 1)
350 
        z = y.Quo(x, y)
351 
        q = NewRat(2, 3)
352 
        if z.Cmp(q) != 0 {
353 
                t.Errorf("got %s want %s", z, q)
354 
        }
355 
 
356 
        x = NewRat(3, 1)
357 
        z = x.Quo(x, x)
358 
        q = NewRat(3, 3)
359 
        if z.Cmp(q) != 0 {
360 
                t.Errorf("got %s want %s", z, q)
361 
        }
362 
}
363 
 
364 
var setFrac64Tests = []struct {
365 
        a, b int64
366 
        out  string
367 
}{
368 
        {0, 1, "0"},
369 
        {0, -1, "0"},
370 
        {1, 1, "1"},
371 
        {-1, 1, "-1"},
372 
        {1, -1, "-1"},
373 
        {-1, -1, "1"},
374 
        {-9223372036854775808, -9223372036854775808, "1"},
375 
}
376 
 
377 
func TestRatSetFrac64Rat(t *testing.T) {
378 
        for i, test := range setFrac64Tests {
379 
                x := new(Rat).SetFrac64(test.a, test.b)
380 
                if x.RatString() != test.out {
381 
                        t.Errorf("#%d got %s want %s", i, x.RatString(), test.out)
382 
                }
383 
        }
384 
}
385 
 
386 
func TestRatGobEncoding(t *testing.T) {
387 
        var medium bytes.Buffer
388 
        enc := gob.NewEncoder(&medium)
389 
        dec := gob.NewDecoder(&medium)
390 
        for i, test := range gobEncodingTests {
391 
                for j := 0; j < 4; j++ {
392 
                        medium.Reset() // empty buffer for each test case (in case of failures)
393 
                        stest := test
394 
                        if j&1 != 0 {
395 
                                // negative numbers
396 
                                stest = "-" + test
397 
                        }
398 
                        if j%2 != 0 {
399 
                                // fractions
400 
                                stest = stest + "." + test
401 
                        }
402 
                        var tx Rat
403 
                        tx.SetString(stest)
404 
                        if err := enc.Encode(&tx); err != nil {
405 
                                t.Errorf("#%d%c: encoding failed: %s", i, 'a'+j, err)
406 
                        }
407 
                        var rx Rat
408 
                        if err := dec.Decode(&rx); err != nil {
409 
                                t.Errorf("#%d%c: decoding failed: %s", i, 'a'+j, err)
410 
                        }
411 
                        if rx.Cmp(&tx) != 0 {
412 
                                t.Errorf("#%d%c: transmission failed: got %s want %s", i, 'a'+j, &rx, &tx)
413 
                        }
414 
                }
415 
        }
416 
}
417 
 
418 
func TestIssue2379(t *testing.T) {
419 
        // 1) no aliasing
420 
        q := NewRat(3, 2)
421 
        x := new(Rat)
422 
        x.SetFrac(NewInt(3), NewInt(2))
423 
        if x.Cmp(q) != 0 {
424 
                t.Errorf("1) got %s want %s", x, q)
425 
        }
426 
 
427 
        // 2) aliasing of numerator
428 
        x = NewRat(2, 3)
429 
        x.SetFrac(NewInt(3), x.Num())
430 
        if x.Cmp(q) != 0 {
431 
                t.Errorf("2) got %s want %s", x, q)
432 
        }
433 
 
434 
        // 3) aliasing of denominator
435 
        x = NewRat(2, 3)
436 
        x.SetFrac(x.Denom(), NewInt(2))
437 
        if x.Cmp(q) != 0 {
438 
                t.Errorf("3) got %s want %s", x, q)
439 
        }
440 
 
441 
        // 4) aliasing of numerator and denominator
442 
        x = NewRat(2, 3)
443 
        x.SetFrac(x.Denom(), x.Num())
444 
        if x.Cmp(q) != 0 {
445 
                t.Errorf("4) got %s want %s", x, q)
446 
        }
447 
 
448 
        // 5) numerator and denominator are the same
449 
        q = NewRat(1, 1)
450 
        x = new(Rat)
451 
        n := NewInt(7)
452 
        x.SetFrac(n, n)
453 
        if x.Cmp(q) != 0 {
454 
                t.Errorf("5) got %s want %s", x, q)
455 
        }
456 
}

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