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1 /*
2  * Copyright 2015 Google Inc.
3  *
4  * Use of this source code is governed by a BSD-style license that can be
5  * found in the LICENSE file.
6  */
7 
8 #include "Sk4px.h"
9 #include "SkNx.h"
10 #include "SkRandom.h"
11 #include "Test.h"
12 
13 template <int N>
test_Nf(skiatest::Reporter * r)14 static void test_Nf(skiatest::Reporter* r) {
15 
16     auto assert_nearly_eq = [&](float eps, const SkNx<N, float>& v,
17                                 float a, float b, float c, float d) {
18         auto close = [=](float a, float b) { return fabsf(a-b) <= eps; };
19         float vals[4];
20         v.store(vals);
21         bool ok = close(vals[0], a) && close(vals[1], b)
22                && close(   v[0], a) && close(   v[1], b);
23         REPORTER_ASSERT(r, ok);
24         if (N == 4) {
25             ok = close(vals[2], c) && close(vals[3], d)
26               && close(   v[2], c) && close(   v[3], d);
27             REPORTER_ASSERT(r, ok);
28         }
29     };
30     auto assert_eq = [&](const SkNx<N, float>& v, float a, float b, float c, float d) {
31         return assert_nearly_eq(0, v, a,b,c,d);
32     };
33 
34     float vals[] = {3, 4, 5, 6};
35     SkNx<N,float> a = SkNx<N,float>::Load(vals),
36                   b(a),
37                   c = a;
38     SkNx<N,float> d;
39     d = a;
40 
41     assert_eq(a, 3, 4, 5, 6);
42     assert_eq(b, 3, 4, 5, 6);
43     assert_eq(c, 3, 4, 5, 6);
44     assert_eq(d, 3, 4, 5, 6);
45 
46     assert_eq(a+b, 6, 8, 10, 12);
47     assert_eq(a*b, 9, 16, 25, 36);
48     assert_eq(a*b-b, 6, 12, 20, 30);
49     assert_eq((a*b).sqrt(), 3, 4, 5, 6);
50     assert_eq(a/b, 1, 1, 1, 1);
51     assert_eq(SkNx<N,float>(0)-a, -3, -4, -5, -6);
52 
53     SkNx<N,float> fours(4);
54 
55     assert_eq(fours.sqrt(), 2,2,2,2);
56     assert_nearly_eq(0.001f, fours.rsqrt(), 0.5, 0.5, 0.5, 0.5);
57 
58     assert_nearly_eq(0.001f, fours.invert(), 0.25, 0.25, 0.25, 0.25);
59 
60     assert_eq(SkNx<N,float>::Min(a, fours), 3, 4, 4, 4);
61     assert_eq(SkNx<N,float>::Max(a, fours), 4, 4, 5, 6);
62 
63     // Test some comparisons.  This is not exhaustive.
64     REPORTER_ASSERT(r, (a == b).allTrue());
65     REPORTER_ASSERT(r, (a+b == a*b-b).anyTrue());
66     REPORTER_ASSERT(r, !(a+b == a*b-b).allTrue());
67     REPORTER_ASSERT(r, !(a+b == a*b).anyTrue());
68     REPORTER_ASSERT(r, !(a != b).anyTrue());
69     REPORTER_ASSERT(r, (a < fours).anyTrue());
70     REPORTER_ASSERT(r, (a <= fours).anyTrue());
71     REPORTER_ASSERT(r, !(a > fours).allTrue());
72     REPORTER_ASSERT(r, !(a >= fours).allTrue());
73 }
74 
DEF_TEST(SkNf,r)75 DEF_TEST(SkNf, r) {
76     test_Nf<2>(r);
77     test_Nf<4>(r);
78 }
79 
80 template <int N, typename T>
test_Ni(skiatest::Reporter * r)81 void test_Ni(skiatest::Reporter* r) {
82     auto assert_eq = [&](const SkNx<N,T>& v, T a, T b, T c, T d, T e, T f, T g, T h) {
83         T vals[8];
84         v.store(vals);
85 
86         switch (N) {
87           case 8: REPORTER_ASSERT(r, vals[4] == e && vals[5] == f && vals[6] == g && vals[7] == h);
88           case 4: REPORTER_ASSERT(r, vals[2] == c && vals[3] == d);
89           case 2: REPORTER_ASSERT(r, vals[0] == a && vals[1] == b);
90         }
91         switch (N) {
92           case 8: REPORTER_ASSERT(r, v[4] == e && v[5] == f &&
93                                      v[6] == g && v[7] == h);
94           case 4: REPORTER_ASSERT(r, v[2] == c && v[3] == d);
95           case 2: REPORTER_ASSERT(r, v[0] == a && v[1] == b);
96         }
97     };
98 
99     T vals[] = { 1,2,3,4,5,6,7,8 };
100     SkNx<N,T> a = SkNx<N,T>::Load(vals),
101               b(a),
102               c = a;
103     SkNx<N,T> d;
104     d = a;
105 
106     assert_eq(a, 1,2,3,4,5,6,7,8);
107     assert_eq(b, 1,2,3,4,5,6,7,8);
108     assert_eq(c, 1,2,3,4,5,6,7,8);
109     assert_eq(d, 1,2,3,4,5,6,7,8);
110 
111     assert_eq(a+a, 2,4,6,8,10,12,14,16);
112     assert_eq(a*a, 1,4,9,16,25,36,49,64);
113     assert_eq(a*a-a, 0,2,6,12,20,30,42,56);
114 
115     assert_eq(a >> 2, 0,0,0,1,1,1,1,2);
116     assert_eq(a << 1, 2,4,6,8,10,12,14,16);
117 
118     REPORTER_ASSERT(r, a[1] == 2);
119 }
120 
DEF_TEST(SkNx,r)121 DEF_TEST(SkNx, r) {
122     test_Ni<2, uint16_t>(r);
123     test_Ni<4, uint16_t>(r);
124     test_Ni<8, uint16_t>(r);
125 
126     test_Ni<2, int>(r);
127     test_Ni<4, int>(r);
128     test_Ni<8, int>(r);
129 }
130 
DEF_TEST(SkNi_min_lt,r)131 DEF_TEST(SkNi_min_lt, r) {
132     // Exhaustively check the 8x8 bit space.
133     for (int a = 0; a < (1<<8); a++) {
134     for (int b = 0; b < (1<<8); b++) {
135         Sk16b aw(a), bw(b);
136         REPORTER_ASSERT(r, Sk16b::Min(aw, bw)[0] == SkTMin(a, b));
137         REPORTER_ASSERT(r, !(aw < bw)[0] == !(a < b));
138     }}
139 
140     // Exhausting the 16x16 bit space is kind of slow, so only do that in release builds.
141 #ifdef SK_DEBUG
142     SkRandom rand;
143     for (int i = 0; i < (1<<16); i++) {
144         uint16_t a = rand.nextU() >> 16,
145                  b = rand.nextU() >> 16;
146         REPORTER_ASSERT(r, Sk16h::Min(Sk16h(a), Sk16h(b))[0] == SkTMin(a, b));
147     }
148 #else
149     for (int a = 0; a < (1<<16); a++) {
150     for (int b = 0; b < (1<<16); b++) {
151         REPORTER_ASSERT(r, Sk16h::Min(Sk16h(a), Sk16h(b))[0] == SkTMin(a, b));
152     }}
153 #endif
154 }
155 
DEF_TEST(SkNi_saturatedAdd,r)156 DEF_TEST(SkNi_saturatedAdd, r) {
157     for (int a = 0; a < (1<<8); a++) {
158     for (int b = 0; b < (1<<8); b++) {
159         int exact = a+b;
160         if (exact > 255) { exact = 255; }
161         if (exact <   0) { exact =   0; }
162 
163         REPORTER_ASSERT(r, Sk16b(a).saturatedAdd(Sk16b(b))[0] == exact);
164     }
165     }
166 }
167 
DEF_TEST(SkNi_mulHi,r)168 DEF_TEST(SkNi_mulHi, r) {
169     // First 8 primes.
170     Sk4u a{ 0x00020000, 0x00030000, 0x00050000, 0x00070000 };
171     Sk4u b{ 0x000b0000, 0x000d0000, 0x00110000, 0x00130000 };
172 
173     Sk4u q{22, 39, 85, 133};
174 
175     Sk4u c = a.mulHi(b);
176     REPORTER_ASSERT(r, c[0] == q[0]);
177     REPORTER_ASSERT(r, c[1] == q[1]);
178     REPORTER_ASSERT(r, c[2] == q[2]);
179     REPORTER_ASSERT(r, c[3] == q[3]);
180 }
181 
DEF_TEST(Sk4px_muldiv255round,r)182 DEF_TEST(Sk4px_muldiv255round, r) {
183     for (int a = 0; a < (1<<8); a++) {
184     for (int b = 0; b < (1<<8); b++) {
185         int exact = (a*b+127)/255;
186 
187         // Duplicate a and b 16x each.
188         auto av = Sk4px::DupAlpha(a),
189              bv = Sk4px::DupAlpha(b);
190 
191         // This way should always be exactly correct.
192         int correct = (av * bv).div255()[0];
193         REPORTER_ASSERT(r, correct == exact);
194 
195         // We're a bit more flexible on this method: correct for 0 or 255, otherwise off by <=1.
196         int fast = av.approxMulDiv255(bv)[0];
197         REPORTER_ASSERT(r, fast-exact >= -1 && fast-exact <= 1);
198         if (a == 0 || a == 255 || b == 0 || b == 255) {
199             REPORTER_ASSERT(r, fast == exact);
200         }
201     }
202     }
203 }
204 
DEF_TEST(Sk4px_widening,r)205 DEF_TEST(Sk4px_widening, r) {
206     SkPMColor colors[] = {
207         SkPreMultiplyColor(0xff00ff00),
208         SkPreMultiplyColor(0x40008000),
209         SkPreMultiplyColor(0x7f020406),
210         SkPreMultiplyColor(0x00000000),
211     };
212     auto packed = Sk4px::Load4(colors);
213 
214     auto wideLo = packed.widenLo(),
215          wideHi = packed.widenHi(),
216          wideLoHi    = packed.widenLoHi(),
217          wideLoHiAlt = wideLo + wideHi;
218     REPORTER_ASSERT(r, 0 == memcmp(&wideLoHi, &wideLoHiAlt, sizeof(wideLoHi)));
219 }
220 
DEF_TEST(SkNx_abs,r)221 DEF_TEST(SkNx_abs, r) {
222     auto fs = Sk4f(0.0f, -0.0f, 2.0f, -4.0f).abs();
223     REPORTER_ASSERT(r, fs[0] == 0.0f);
224     REPORTER_ASSERT(r, fs[1] == 0.0f);
225     REPORTER_ASSERT(r, fs[2] == 2.0f);
226     REPORTER_ASSERT(r, fs[3] == 4.0f);
227     auto fshi = Sk2f(0.0f, -0.0f).abs();
228     auto fslo = Sk2f(2.0f, -4.0f).abs();
229     REPORTER_ASSERT(r, fshi[0] == 0.0f);
230     REPORTER_ASSERT(r, fshi[1] == 0.0f);
231     REPORTER_ASSERT(r, fslo[0] == 2.0f);
232     REPORTER_ASSERT(r, fslo[1] == 4.0f);
233 }
234 
DEF_TEST(Sk4i_abs,r)235 DEF_TEST(Sk4i_abs, r) {
236     auto is = Sk4i(0, -1, 2, -2147483647).abs();
237     REPORTER_ASSERT(r, is[0] == 0);
238     REPORTER_ASSERT(r, is[1] == 1);
239     REPORTER_ASSERT(r, is[2] == 2);
240     REPORTER_ASSERT(r, is[3] == 2147483647);
241 }
242 
DEF_TEST(Sk4i_minmax,r)243 DEF_TEST(Sk4i_minmax, r) {
244     auto a = Sk4i(0, 2, 4, 6);
245     auto b = Sk4i(1, 1, 3, 7);
246     auto min = Sk4i::Min(a, b);
247     auto max = Sk4i::Max(a, b);
248     for(int i = 0; i < 4; ++i) {
249         REPORTER_ASSERT(r, min[i] == SkTMin(a[i], b[i]));
250         REPORTER_ASSERT(r, max[i] == SkTMax(a[i], b[i]));
251     }
252 }
253 
DEF_TEST(SkNx_floor,r)254 DEF_TEST(SkNx_floor, r) {
255     auto fs = Sk4f(0.4f, -0.4f, 0.6f, -0.6f).floor();
256     REPORTER_ASSERT(r, fs[0] ==  0.0f);
257     REPORTER_ASSERT(r, fs[1] == -1.0f);
258     REPORTER_ASSERT(r, fs[2] ==  0.0f);
259     REPORTER_ASSERT(r, fs[3] == -1.0f);
260 }
261 
DEF_TEST(SkNx_shuffle,r)262 DEF_TEST(SkNx_shuffle, r) {
263     Sk4f f4(0,10,20,30);
264 
265     Sk2f f2 = SkNx_shuffle<2,1>(f4);
266     REPORTER_ASSERT(r, f2[0] == 20);
267     REPORTER_ASSERT(r, f2[1] == 10);
268 
269     f4 = SkNx_shuffle<0,1,1,0>(f2);
270     REPORTER_ASSERT(r, f4[0] == 20);
271     REPORTER_ASSERT(r, f4[1] == 10);
272     REPORTER_ASSERT(r, f4[2] == 10);
273     REPORTER_ASSERT(r, f4[3] == 20);
274 }
275 
DEF_TEST(SkNx_int_float,r)276 DEF_TEST(SkNx_int_float, r) {
277     Sk4f f(-2.3f, 1.0f, 0.45f, 0.6f);
278 
279     Sk4i i = SkNx_cast<int>(f);
280     REPORTER_ASSERT(r, i[0] == -2);
281     REPORTER_ASSERT(r, i[1] ==  1);
282     REPORTER_ASSERT(r, i[2] ==  0);
283     REPORTER_ASSERT(r, i[3] ==  0);
284 
285     f = SkNx_cast<float>(i);
286     REPORTER_ASSERT(r, f[0] == -2.0f);
287     REPORTER_ASSERT(r, f[1] ==  1.0f);
288     REPORTER_ASSERT(r, f[2] ==  0.0f);
289     REPORTER_ASSERT(r, f[3] ==  0.0f);
290 }
291 
292 #include "SkRandom.h"
293 
DEF_TEST(SkNx_u16_float,r)294 DEF_TEST(SkNx_u16_float, r) {
295     {
296         // u16 --> float
297         auto h4 = Sk4h(15, 17, 257, 65535);
298         auto f4 = SkNx_cast<float>(h4);
299         REPORTER_ASSERT(r, f4[0] == 15.0f);
300         REPORTER_ASSERT(r, f4[1] == 17.0f);
301         REPORTER_ASSERT(r, f4[2] == 257.0f);
302         REPORTER_ASSERT(r, f4[3] == 65535.0f);
303     }
304     {
305         // float -> u16
306         auto f4 = Sk4f(15, 17, 257, 65535);
307         auto h4 = SkNx_cast<uint16_t>(f4);
308         REPORTER_ASSERT(r, h4[0] == 15);
309         REPORTER_ASSERT(r, h4[1] == 17);
310         REPORTER_ASSERT(r, h4[2] == 257);
311         REPORTER_ASSERT(r, h4[3] == 65535);
312     }
313 
314     // starting with any u16 value, we should be able to have a perfect round-trip in/out of floats
315     //
316     SkRandom rand;
317     for (int i = 0; i < 10000; ++i) {
318         const uint16_t s16[4] {
319             (uint16_t)rand.nextU16(), (uint16_t)rand.nextU16(),
320             (uint16_t)rand.nextU16(), (uint16_t)rand.nextU16(),
321         };
322         auto u4_0 = Sk4h::Load(s16);
323         auto f4 = SkNx_cast<float>(u4_0);
324         auto u4_1 = SkNx_cast<uint16_t>(f4);
325         uint16_t d16[4];
326         u4_1.store(d16);
327         REPORTER_ASSERT(r, !memcmp(s16, d16, sizeof(s16)));
328     }
329 }
330 
331 // The SSE2 implementation of SkNx_cast<uint16_t>(Sk4i) is non-trivial, so worth a test.
DEF_TEST(SkNx_int_u16,r)332 DEF_TEST(SkNx_int_u16, r) {
333     // These are pretty hard to get wrong.
334     for (int i = 0; i <= 0x7fff; i++) {
335         uint16_t expected = (uint16_t)i;
336         uint16_t actual = SkNx_cast<uint16_t>(Sk4i(i))[0];
337 
338         REPORTER_ASSERT(r, expected == actual);
339     }
340 
341     // A naive implementation with _mm_packs_epi32 would succeed up to 0x7fff but fail here:
342     for (int i = 0x8000; (1) && i <= 0xffff; i++) {
343         uint16_t expected = (uint16_t)i;
344         uint16_t actual = SkNx_cast<uint16_t>(Sk4i(i))[0];
345 
346         REPORTER_ASSERT(r, expected == actual);
347     }
348 }
349 
DEF_TEST(SkNx_4fLoad4Store4,r)350 DEF_TEST(SkNx_4fLoad4Store4, r) {
351     float src[] = {
352          0.0f,  1.0f,  2.0f,  3.0f,
353          4.0f,  5.0f,  6.0f,  7.0f,
354          8.0f,  9.0f, 10.0f, 11.0f,
355         12.0f, 13.0f, 14.0f, 15.0f
356     };
357 
358     Sk4f a, b, c, d;
359     Sk4f::Load4(src, &a, &b, &c, &d);
360     REPORTER_ASSERT(r,  0.0f == a[0]);
361     REPORTER_ASSERT(r,  4.0f == a[1]);
362     REPORTER_ASSERT(r,  8.0f == a[2]);
363     REPORTER_ASSERT(r, 12.0f == a[3]);
364     REPORTER_ASSERT(r,  1.0f == b[0]);
365     REPORTER_ASSERT(r,  5.0f == b[1]);
366     REPORTER_ASSERT(r,  9.0f == b[2]);
367     REPORTER_ASSERT(r, 13.0f == b[3]);
368     REPORTER_ASSERT(r,  2.0f == c[0]);
369     REPORTER_ASSERT(r,  6.0f == c[1]);
370     REPORTER_ASSERT(r, 10.0f == c[2]);
371     REPORTER_ASSERT(r, 14.0f == c[3]);
372     REPORTER_ASSERT(r,  3.0f == d[0]);
373     REPORTER_ASSERT(r,  7.0f == d[1]);
374     REPORTER_ASSERT(r, 11.0f == d[2]);
375     REPORTER_ASSERT(r, 15.0f == d[3]);
376 
377     float dst[16];
378     Sk4f::Store4(dst, a, b, c, d);
379     REPORTER_ASSERT(r, 0 == memcmp(dst, src, 16 * sizeof(float)));
380 }
381 
DEF_TEST(SkNx_neg,r)382 DEF_TEST(SkNx_neg, r) {
383     auto fs = -Sk4f(0.0f, -0.0f, 2.0f, -4.0f);
384     REPORTER_ASSERT(r, fs[0] == 0.0f);
385     REPORTER_ASSERT(r, fs[1] == 0.0f);
386     REPORTER_ASSERT(r, fs[2] == -2.0f);
387     REPORTER_ASSERT(r, fs[3] == 4.0f);
388     auto fshi = -Sk2f(0.0f, -0.0f);
389     auto fslo = -Sk2f(2.0f, -4.0f);
390     REPORTER_ASSERT(r, fshi[0] == 0.0f);
391     REPORTER_ASSERT(r, fshi[1] == 0.0f);
392     REPORTER_ASSERT(r, fslo[0] == -2.0f);
393     REPORTER_ASSERT(r, fslo[1] == 4.0f);
394 }
395 
DEF_TEST(SkNx_thenElse,r)396 DEF_TEST(SkNx_thenElse, r) {
397     auto fs = (Sk4f(0.0f, -0.0f, 2.0f, -4.0f) < 0).thenElse(-1, 1);
398     REPORTER_ASSERT(r, fs[0] == 1);
399     REPORTER_ASSERT(r, fs[1] == 1);
400     REPORTER_ASSERT(r, fs[2] == 1);
401     REPORTER_ASSERT(r, fs[3] == -1);
402     auto fshi = (Sk2f(0.0f, -0.0f) < 0).thenElse(-1, 1);
403     auto fslo = (Sk2f(2.0f, -4.0f) < 0).thenElse(-1, 1);
404     REPORTER_ASSERT(r, fshi[0] == 1);
405     REPORTER_ASSERT(r, fshi[1] == 1);
406     REPORTER_ASSERT(r, fslo[0] == 1);
407     REPORTER_ASSERT(r, fslo[1] == -1);
408 }
409 
DEF_TEST(Sk4f_Load2,r)410 DEF_TEST(Sk4f_Load2, r) {
411     float xy[8] = { 0,1,2,3,4,5,6,7 };
412 
413     Sk4f x,y;
414     Sk4f::Load2(xy, &x,&y);
415 
416     REPORTER_ASSERT(r, x[0] == 0);
417     REPORTER_ASSERT(r, x[1] == 2);
418     REPORTER_ASSERT(r, x[2] == 4);
419     REPORTER_ASSERT(r, x[3] == 6);
420 
421     REPORTER_ASSERT(r, y[0] == 1);
422     REPORTER_ASSERT(r, y[1] == 3);
423     REPORTER_ASSERT(r, y[2] == 5);
424     REPORTER_ASSERT(r, y[3] == 7);
425 }
426 
DEF_TEST(Sk2f_Store3,r)427 DEF_TEST(Sk2f_Store3, r) {
428     Sk2f p0{0, 3};
429     Sk2f p1{1, 4};
430     Sk2f p2{2, 5};
431     float dst[6];
432     Sk2f::Store3(dst, p0, p1, p2);
433     REPORTER_ASSERT(r, dst[0] == 0);
434     REPORTER_ASSERT(r, dst[1] == 1);
435     REPORTER_ASSERT(r, dst[2] == 2);
436     REPORTER_ASSERT(r, dst[3] == 3);
437     REPORTER_ASSERT(r, dst[4] == 4);
438     REPORTER_ASSERT(r, dst[5] == 5);
439 }
440