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      1 /*
      2  * Copyright 2017 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 "SkGaussFilter.h"
      9 
     10 #include <cmath>
     11 #include <tuple>
     12 #include <vector>
     13 #include "Test.h"
     14 
     15 // one part in a million
     16 static constexpr double kEpsilon = 0.000001;
     17 
     18 static double careful_add(int n, double* gauss) {
     19     // Sum smallest to largest to retain precision.
     20     double sum = 0;
     21     for (int i = n - 1; i >= 1; i--) {
     22         sum += 2.0 * gauss[i];
     23     }
     24     sum += gauss[0];
     25     return sum;
     26 }
     27 
     28 DEF_TEST(SkGaussFilterCommon, r) {
     29     using Test = std::tuple<double, SkGaussFilter::Type, std::vector<double>>;
     30 
     31     auto golden_check = [&](const Test& test) {
     32         double sigma; SkGaussFilter::Type type; std::vector<double> golden;
     33         std::tie(sigma, type, golden) = test;
     34         SkGaussFilter filter{sigma, type};
     35         double result[SkGaussFilter::kGaussArrayMax];
     36         int n = 0;
     37         for (auto d : filter) {
     38             result[n++] = d;
     39         }
     40         REPORTER_ASSERT(r, static_cast<size_t>(n) == golden.size());
     41         double sum = careful_add(n, result);
     42         REPORTER_ASSERT(r, sum == 1.0);
     43         for (size_t i = 0; i < golden.size(); i++) {
     44             REPORTER_ASSERT(r, std::abs(golden[i] - result[i]) < kEpsilon);
     45         }
     46     };
     47 
     48     // The following two sigmas account for about 85% of all sigmas used for masks.
     49     // Golden values generated using Mathematica.
     50     auto tests = {
     51         // 0.788675 - most common mask sigma.
     52         // GaussianMatrix[{{Automatic}, {.788675}}, Method -> "Gaussian"]
     53         Test{0.788675, SkGaussFilter::Type::Gaussian, {0.506205, 0.226579, 0.0203189}},
     54 
     55         // GaussianMatrix[{{Automatic}, {.788675}}]
     56         Test{0.788675, SkGaussFilter::Type::Bessel,   {0.593605, 0.176225, 0.0269721}},
     57 
     58         // 1.07735 - second most common mask sigma.
     59         // GaussianMatrix[{{Automatic}, {1.07735}}, Method -> "Gaussian"]
     60         Test{1.07735, SkGaussFilter::Type::Gaussian,  {0.376362, 0.244636, 0.0671835}},
     61 
     62         // GaussianMatrix[{{4}, {1.07735}}, Method -> "Bessel"]
     63         Test{1.07735, SkGaussFilter::Type::Bessel,    {0.429537, 0.214955, 0.059143, 0.0111337}},
     64     };
     65 
     66     for (auto& test : tests) {
     67         golden_check(test);
     68     }
     69 }
     70 
     71 DEF_TEST(SkGaussFilterSweep, r) {
     72     // The double just before 2.0.
     73     const double maxSigma = nextafter(2.0, 0.0);
     74     auto check = [&](double sigma, SkGaussFilter::Type type) {
     75         SkGaussFilter filter{sigma, type};
     76         double result[SkGaussFilter::kGaussArrayMax];
     77         int n = 0;
     78         for (auto d : filter) {
     79             result[n++] = d;
     80         }
     81         REPORTER_ASSERT(r, n <= SkGaussFilter::kGaussArrayMax);
     82         double sum = careful_add(n, result);
     83         REPORTER_ASSERT(r, sum == 1.0);
     84     };
     85 
     86     {
     87 
     88         for (double sigma = 0.0; sigma < 2.0; sigma += 0.1) {
     89             check(sigma, SkGaussFilter::Type::Gaussian);
     90         }
     91 
     92         check(maxSigma, SkGaussFilter::Type::Gaussian);
     93     }
     94 
     95     {
     96 
     97         for (double sigma = 0.0; sigma < 2.0; sigma += 0.1) {
     98             check(sigma, SkGaussFilter::Type::Bessel);
     99         }
    100 
    101         check(maxSigma, SkGaussFilter::Type::Bessel);
    102     }
    103 }
    104