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+/*
+ * Copyright 2017 Google Inc.
+ *
+ * Use of this source code is governed by a BSD-style license that can be
+ * found in the LICENSE file.
+ */
+
+#include "SkGaussFilter.h"
+
+#include <cmath>
+#include <tuple>
+#include <vector>
+#include "Test.h"
+
+// one part in a million
+static constexpr double kEpsilon = 0.000001;
+
+static double careful_add(int n, double* gauss) {
+ // Sum smallest to largest to retain precision.
+ double sum = 0;
+ for (int i = n - 1; i >= 1; i--) {
+ sum += 2.0 * gauss[i];
+ }
+ sum += gauss[0];
+ return sum;
+}
+
+DEF_TEST(SkGaussFilterCommon, r) {
+ using Test = std::tuple<double, SkGaussFilter::Type, std::vector<double>>;
+
+ auto golden_check = [&](const Test& test) {
+ double sigma; SkGaussFilter::Type type; std::vector<double> golden;
+ std::tie(sigma, type, golden) = test;
+ SkGaussFilter filter{sigma, type};
+ double result[5];
+ size_t n = filter.filterDouble(result);
+ REPORTER_ASSERT(r, n == golden.size());
+ double sum = careful_add(n, result);
+ REPORTER_ASSERT(r, sum == 1.0);
+ for (size_t i = 0; i < golden.size(); i++) {
+ REPORTER_ASSERT(r, std::abs(golden[i] - result[i]) < kEpsilon);
+ }
+ };
+
+ // The following two sigmas account for about 85% of all sigmas used for masks.
+ // Golden values generated using Mathematica.
+ auto tests = {
+ // 0.788675 - most common mask sigma.
+ // GaussianMatrix[{{Automatic}, {.788675}}, Method -> "Gaussian"]
+ Test{0.788675, SkGaussFilter::Type::Gaussian, {0.506205, 0.226579, 0.0203189}},
+
+ // GaussianMatrix[{{Automatic}, {.788675}}]
+ Test{0.788675, SkGaussFilter::Type::Bessel, {0.593605, 0.176225, 0.0269721}},
+
+ // 1.07735 - second most common mask sigma.
+ // GaussianMatrix[{{Automatic}, {1.07735}}, Method -> "Gaussian"]
+ Test{1.07735, SkGaussFilter::Type::Gaussian, {0.376362, 0.244636, 0.0671835}},
+
+ // GaussianMatrix[{{4}, {1.07735}}, Method -> "Bessel"]
+ Test{1.07735, SkGaussFilter::Type::Bessel, {0.429537, 0.214955, 0.059143, 0.0111337}},
+ };
+
+ for (auto& test : tests) {
+ golden_check(test);
+ }
+}
+
+DEF_TEST(SkGaussFilterSweep, r) {
+ // The double just before 2.0.
+ const double maxSigma = nextafter(2.0, 0.0);
+ for (auto type : {SkGaussFilter::Type::Gaussian, SkGaussFilter::Type::Bessel}) {
+
+ auto check = [&](double sigma) {
+ SkGaussFilter filter{sigma, type};
+ double result[5];
+ int n = filter.filterDouble(result);
+ REPORTER_ASSERT(r, n <= 5);
+ double sum = careful_add(n, result);
+ REPORTER_ASSERT(r, sum == 1.0);
+ };
+
+ for (double sigma = 0.0; sigma < 2.0; sigma += 0.1) {
+ check(sigma);
+ }
+
+ check(maxSigma);
+ }
+}