aboutsummaryrefslogtreecommitdiffhomepage
path: root/bench/MathBench.cpp
blob: 5b46d1c704c835e6390a7df60ee50a03206cc5c4 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
#include "Benchmark.h"
#include "SkColorPriv.h"
#include "SkMatrix.h"
#include "SkPaint.h"
#include "SkRandom.h"
#include "SkString.h"

static float sk_fsel(float pred, float result_ge, float result_lt) {
    return pred >= 0 ? result_ge : result_lt;
}

static float fast_floor(float x) {
//    float big = sk_fsel(x, 0x1.0p+23, -0x1.0p+23);
    float big = sk_fsel(x, (float)(1 << 23), -(float)(1 << 23));
    return (x + big) - big;
}

class MathBench : public Benchmark {
    enum {
        kBuffer = 100,
    };
    SkString    fName;
    float       fSrc[kBuffer], fDst[kBuffer];
public:
    MathBench(const char name[])  {
        fName.printf("math_%s", name);

        SkRandom rand;
        for (int i = 0; i < kBuffer; ++i) {
            fSrc[i] = rand.nextSScalar1();
        }
    }

    bool isSuitableFor(Backend backend) SK_OVERRIDE {
        return backend == kNonRendering_Backend;
    }

    virtual void performTest(float* SK_RESTRICT dst,
                              const float* SK_RESTRICT src,
                              int count) = 0;

protected:
    virtual int mulLoopCount() const { return 1; }

    virtual const char* onGetName() {
        return fName.c_str();
    }

    virtual void onDraw(const int loops, SkCanvas*) {
        int n = loops * this->mulLoopCount();
        for (int i = 0; i < n; i++) {
            this->performTest(fDst, fSrc, kBuffer);
        }
    }

private:
    typedef Benchmark INHERITED;
};

class MathBenchU32 : public MathBench {
public:
    MathBenchU32(const char name[]) : INHERITED(name) {}

protected:
    virtual void performITest(uint32_t* SK_RESTRICT dst,
                              const uint32_t* SK_RESTRICT src,
                              int count) = 0;

    virtual void performTest(float* SK_RESTRICT dst,
                             const float* SK_RESTRICT src,
                             int count) SK_OVERRIDE {
        uint32_t* d = SkTCast<uint32_t*>(dst);
        const uint32_t* s = SkTCast<const uint32_t*>(src);
        this->performITest(d, s, count);
    }
private:
    typedef MathBench INHERITED;
};

///////////////////////////////////////////////////////////////////////////////

class NoOpMathBench : public MathBench {
public:
    NoOpMathBench() : INHERITED("noOp") {}
protected:
    virtual void performTest(float* SK_RESTRICT dst,
                              const float* SK_RESTRICT src,
                              int count) {
        for (int i = 0; i < count; ++i) {
            dst[i] = src[i] + 1;
        }
    }
private:
    typedef MathBench INHERITED;
};

class SkRSqrtMathBench : public MathBench {
public:
    SkRSqrtMathBench() : INHERITED("sk_float_rsqrt") {}
protected:
    virtual void performTest(float* SK_RESTRICT dst,
                              const float* SK_RESTRICT src,
                              int count) {
        for (int i = 0; i < count; ++i) {
            dst[i] = sk_float_rsqrt(src[i]);
        }
    }
private:
    typedef MathBench INHERITED;
};


class SlowISqrtMathBench : public MathBench {
public:
    SlowISqrtMathBench() : INHERITED("slowIsqrt") {}
protected:
    virtual void performTest(float* SK_RESTRICT dst,
                              const float* SK_RESTRICT src,
                              int count) {
        for (int i = 0; i < count; ++i) {
            dst[i] = 1.0f / sk_float_sqrt(src[i]);
        }
    }
private:
    typedef MathBench INHERITED;
};

static inline float SkFastInvSqrt(float x) {
    float xhalf = 0.5f*x;
    int i = *SkTCast<int*>(&x);
    i = 0x5f3759df - (i>>1);
    x = *SkTCast<float*>(&i);
    x = x*(1.5f-xhalf*x*x);
//    x = x*(1.5f-xhalf*x*x); // this line takes err from 10^-3 to 10^-6
    return x;
}

class FastISqrtMathBench : public MathBench {
public:
    FastISqrtMathBench() : INHERITED("fastIsqrt") {}
protected:
    virtual void performTest(float* SK_RESTRICT dst,
                              const float* SK_RESTRICT src,
                              int count) {
        for (int i = 0; i < count; ++i) {
            dst[i] = SkFastInvSqrt(src[i]);
        }
    }
private:
    typedef MathBench INHERITED;
};

static inline uint32_t QMul64(uint32_t value, U8CPU alpha) {
    SkASSERT((uint8_t)alpha == alpha);
    const uint32_t mask = 0xFF00FF;

    uint64_t tmp = value;
    tmp = (tmp & mask) | ((tmp & ~mask) << 24);
    tmp *= alpha;
    return (uint32_t) (((tmp >> 8) & mask) | ((tmp >> 32) & ~mask));
}

class QMul64Bench : public MathBenchU32 {
public:
    QMul64Bench() : INHERITED("qmul64") {}
protected:
    virtual void performITest(uint32_t* SK_RESTRICT dst,
                              const uint32_t* SK_RESTRICT src,
                              int count) SK_OVERRIDE {
        for (int i = 0; i < count; ++i) {
            dst[i] = QMul64(src[i], (uint8_t)i);
        }
    }
private:
    typedef MathBenchU32 INHERITED;
};

class QMul32Bench : public MathBenchU32 {
public:
    QMul32Bench() : INHERITED("qmul32") {}
protected:
    virtual void performITest(uint32_t* SK_RESTRICT dst,
                              const uint32_t* SK_RESTRICT src,
                              int count) SK_OVERRIDE {
        for (int i = 0; i < count; ++i) {
            dst[i] = SkAlphaMulQ(src[i], (uint8_t)i);
        }
    }
private:
    typedef MathBenchU32 INHERITED;
};

///////////////////////////////////////////////////////////////////////////////

static bool isFinite_int(float x) {
    uint32_t bits = SkFloat2Bits(x);    // need unsigned for our shifts
    int exponent = bits << 1 >> 24;
    return exponent != 0xFF;
}

static bool isFinite_float(float x) {
    return SkToBool(sk_float_isfinite(x));
}

static bool isFinite_mulzero(float x) {
    float y = x * 0;
    return y == y;
}

static bool isfinite_and_int(const float data[4]) {
    return  isFinite_int(data[0]) && isFinite_int(data[1]) && isFinite_int(data[2]) && isFinite_int(data[3]);
}

static bool isfinite_and_float(const float data[4]) {
    return  isFinite_float(data[0]) && isFinite_float(data[1]) && isFinite_float(data[2]) && isFinite_float(data[3]);
}

static bool isfinite_and_mulzero(const float data[4]) {
    return  isFinite_mulzero(data[0]) && isFinite_mulzero(data[1]) && isFinite_mulzero(data[2]) && isFinite_mulzero(data[3]);
}

#define mulzeroadd(data)    (data[0]*0 + data[1]*0 + data[2]*0 + data[3]*0)

static bool isfinite_plus_int(const float data[4]) {
    return  isFinite_int(mulzeroadd(data));
}

static bool isfinite_plus_float(const float data[4]) {
    return  !sk_float_isnan(mulzeroadd(data));
}

static bool isfinite_plus_mulzero(const float data[4]) {
    float x = mulzeroadd(data);
    return x == x;
}

typedef bool (*IsFiniteProc)(const float[]);

#define MAKEREC(name)   { name, #name }

static const struct {
    IsFiniteProc    fProc;
    const char*     fName;
} gRec[] = {
    MAKEREC(isfinite_and_int),
    MAKEREC(isfinite_and_float),
    MAKEREC(isfinite_and_mulzero),
    MAKEREC(isfinite_plus_int),
    MAKEREC(isfinite_plus_float),
    MAKEREC(isfinite_plus_mulzero),
};

#undef MAKEREC

static bool isFinite(const SkRect& r) {
    // x * 0 will be NaN iff x is infinity or NaN.
    // a + b will be NaN iff either a or b is NaN.
    float value = r.fLeft * 0 + r.fTop * 0 + r.fRight * 0 + r.fBottom * 0;

    // value is either NaN or it is finite (zero).
    // value==value will be true iff value is not NaN
    return value == value;
}

class IsFiniteBench : public Benchmark {
    enum {
        N = 1000,
    };
    float fData[N];
public:

    IsFiniteBench(int index)  {
        SkRandom rand;

        for (int i = 0; i < N; ++i) {
            fData[i] = rand.nextSScalar1();
        }

        if (index < 0) {
            fProc = NULL;
            fName = "isfinite_rect";
        } else {
            fProc = gRec[index].fProc;
            fName = gRec[index].fName;
        }
    }

    bool isSuitableFor(Backend backend) SK_OVERRIDE {
        return backend == kNonRendering_Backend;
    }

protected:
    virtual void onDraw(const int loops, SkCanvas*) {
        IsFiniteProc proc = fProc;
        const float* data = fData;
        // do this so the compiler won't throw away the function call
        int counter = 0;

        if (proc) {
            for (int j = 0; j < loops; ++j) {
                for (int i = 0; i < N - 4; ++i) {
                    counter += proc(&data[i]);
                }
            }
        } else {
            for (int j = 0; j < loops; ++j) {
                for (int i = 0; i < N - 4; ++i) {
                    const SkRect* r = reinterpret_cast<const SkRect*>(&data[i]);
                    if (false) { // avoid bit rot, suppress warning
                        isFinite(*r);
                    }
                    counter += r->isFinite();
                }
            }
        }

        SkPaint paint;
        if (paint.getAlpha() == 0) {
            SkDebugf("%d\n", counter);
        }
    }

    virtual const char* onGetName() {
        return fName;
    }

private:
    IsFiniteProc    fProc;
    const char*     fName;

    typedef Benchmark INHERITED;
};

class FloorBench : public Benchmark {
    enum {
        ARRAY = 1000,
    };
    float fData[ARRAY];
    bool fFast;
public:

    FloorBench(bool fast) : fFast(fast) {
        SkRandom rand;

        for (int i = 0; i < ARRAY; ++i) {
            fData[i] = rand.nextSScalar1();
        }

        if (fast) {
            fName = "floor_fast";
        } else {
            fName = "floor_std";
        }
    }

    bool isSuitableFor(Backend backend) SK_OVERRIDE {
        return backend == kNonRendering_Backend;
    }

    virtual void process(float) {}

protected:
    virtual void onDraw(const int loops, SkCanvas*) {
        SkRandom rand;
        float accum = 0;
        const float* data = fData;

        if (fFast) {
            for (int j = 0; j < loops; ++j) {
                for (int i = 0; i < ARRAY; ++i) {
                    accum += fast_floor(data[i]);
                }
                this->process(accum);
            }
        } else {
            for (int j = 0; j < loops; ++j) {
                for (int i = 0; i < ARRAY; ++i) {
                    accum += sk_float_floor(data[i]);
                }
                this->process(accum);
            }
        }
    }

    virtual const char* onGetName() {
        return fName;
    }

private:
    const char*     fName;

    typedef Benchmark INHERITED;
};

class CLZBench : public Benchmark {
    enum {
        ARRAY = 1000,
    };
    uint32_t fData[ARRAY];
    bool fUsePortable;

public:
    CLZBench(bool usePortable) : fUsePortable(usePortable) {

        SkRandom rand;
        for (int i = 0; i < ARRAY; ++i) {
            fData[i] = rand.nextU();
        }

        if (fUsePortable) {
            fName = "clz_portable";
        } else {
            fName = "clz_intrinsic";
        }
    }

    bool isSuitableFor(Backend backend) SK_OVERRIDE {
        return backend == kNonRendering_Backend;
    }

    // just so the compiler doesn't remove our loops
    virtual void process(int) {}

protected:
    virtual void onDraw(const int loops, SkCanvas*) {
        int accum = 0;

        if (fUsePortable) {
            for (int j = 0; j < loops; ++j) {
                for (int i = 0; i < ARRAY; ++i) {
                    accum += SkCLZ_portable(fData[i]);
                }
                this->process(accum);
            }
        } else {
            for (int j = 0; j < loops; ++j) {
                for (int i = 0; i < ARRAY; ++i) {
                    accum += SkCLZ(fData[i]);
                }
                this->process(accum);
            }
        }
    }

    virtual const char* onGetName() {
        return fName;
    }

private:
    const char* fName;

    typedef Benchmark INHERITED;
};

///////////////////////////////////////////////////////////////////////////////

class NormalizeBench : public Benchmark {
    enum {
        ARRAY =1000,
    };
    SkVector fVec[ARRAY];

public:
    NormalizeBench() {
        SkRandom rand;
        for (int i = 0; i < ARRAY; ++i) {
            fVec[i].set(rand.nextSScalar1(), rand.nextSScalar1());
        }

        fName = "point_normalize";
    }

    bool isSuitableFor(Backend backend) SK_OVERRIDE {
        return backend == kNonRendering_Backend;
    }

    // just so the compiler doesn't remove our loops
    virtual void process(int) {}

protected:
    virtual void onDraw(const int loops, SkCanvas*) {
        int accum = 0;

        for (int j = 0; j < loops; ++j) {
            for (int i = 0; i < ARRAY; ++i) {
                accum += fVec[i].normalize();
            }
            this->process(accum);
        }
    }

    virtual const char* onGetName() {
        return fName;
    }

private:
    const char* fName;

    typedef Benchmark INHERITED;
};

///////////////////////////////////////////////////////////////////////////////

class FixedMathBench : public Benchmark {
    enum {
        N = 1000,
    };
    float fData[N];
    SkFixed fResult[N];
public:

    FixedMathBench()  {
        SkRandom rand;
        for (int i = 0; i < N; ++i) {
            fData[i] = rand.nextSScalar1();
        }

    }

    bool isSuitableFor(Backend backend) SK_OVERRIDE {
        return backend == kNonRendering_Backend;
    }

protected:
    virtual void onDraw(const int loops, SkCanvas*) {
        for (int j = 0; j < loops; ++j) {
            for (int i = 0; i < N - 4; ++i) {
                fResult[i] = SkFloatToFixed(fData[i]);
            }
        }

        SkPaint paint;
        if (paint.getAlpha() == 0) {
            SkDebugf("%d\n", fResult[0]);
        }
    }

    virtual const char* onGetName() {
        return "float_to_fixed";
    }

private:
    typedef Benchmark INHERITED;
};

///////////////////////////////////////////////////////////////////////////////

template <typename T>
class DivModBench : public Benchmark {
    SkString fName;
public:
    explicit DivModBench(const char* name) {
        fName.printf("divmod_%s", name);
    }

    bool isSuitableFor(Backend backend) SK_OVERRIDE {
        return backend == kNonRendering_Backend;
    }

protected:
    virtual const char* onGetName() {
        return fName.c_str();
    }

    virtual void onDraw(const int loops, SkCanvas*) {
        volatile T a = 0, b = 0;
        T div = 0, mod = 0;
        for (int i = 0; i < loops; i++) {
            if ((T)i == 0) continue;  // Small T will wrap around.
            SkTDivMod((T)(i+1), (T)i, &div, &mod);
            a ^= div;
            b ^= mod;
        }
    }
};
DEF_BENCH(return new DivModBench<uint8_t>("uint8_t"))
DEF_BENCH(return new DivModBench<uint16_t>("uint16_t"))
DEF_BENCH(return new DivModBench<uint32_t>("uint32_t"))
DEF_BENCH(return new DivModBench<uint64_t>("uint64_t"))

DEF_BENCH(return new DivModBench<int8_t>("int8_t"))
DEF_BENCH(return new DivModBench<int16_t>("int16_t"))
DEF_BENCH(return new DivModBench<int32_t>("int32_t"))
DEF_BENCH(return new DivModBench<int64_t>("int64_t"))

///////////////////////////////////////////////////////////////////////////////

DEF_BENCH( return new NoOpMathBench(); )
DEF_BENCH( return new SkRSqrtMathBench(); )
DEF_BENCH( return new SlowISqrtMathBench(); )
DEF_BENCH( return new FastISqrtMathBench(); )
DEF_BENCH( return new QMul64Bench(); )
DEF_BENCH( return new QMul32Bench(); )

DEF_BENCH( return new IsFiniteBench(-1); )
DEF_BENCH( return new IsFiniteBench(0); )
DEF_BENCH( return new IsFiniteBench(1); )
DEF_BENCH( return new IsFiniteBench(2); )
DEF_BENCH( return new IsFiniteBench(3); )
DEF_BENCH( return new IsFiniteBench(4); )
DEF_BENCH( return new IsFiniteBench(5); )

DEF_BENCH( return new FloorBench(false); )
DEF_BENCH( return new FloorBench(true); )

DEF_BENCH( return new CLZBench(false); )
DEF_BENCH( return new CLZBench(true); )

DEF_BENCH( return new NormalizeBench(); )

DEF_BENCH( return new FixedMathBench(); )