| /* |
| * SPDX-FileCopyrightText: Copyright 2021 - 2022 Arm Limited and/or its affiliates <open-source-office@arm.com> |
| * SPDX-License-Identifier: Apache-2.0 |
| * |
| * Licensed under the Apache License, Version 2.0 (the "License"); |
| * you may not use this file except in compliance with the License. |
| * You may obtain a copy of the License at |
| * |
| * http://www.apache.org/licenses/LICENSE-2.0 |
| * |
| * Unless required by applicable law or agreed to in writing, software |
| * distributed under the License is distributed on an "AS IS" BASIS, |
| * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. |
| * See the License for the specific language governing permissions and |
| * limitations under the License. |
| */ |
| #include "PlatformMath.hpp" |
| #include <catch.hpp> |
| #include <limits> |
| #include <numeric> |
| |
| TEST_CASE("Test CosineF32") |
| { |
| /*Test Constants: */ |
| std::vector<double> inputA{ |
| 0.0, 0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09, 0.1, |
| 0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19, 0.2, 0.21, |
| 0.22, 0.23, 0.24, 0.25, 0.26, 0.27, 0.28, 0.29, 0.3, 0.31, 0.32, |
| 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39, 0.4, 0.41, 0.42, 0.43, |
| 0.44, 0.45, 0.46, 0.47, 0.48, 0.49, 0.5, 0.51, 0.52, 0.53, 0.54, |
| 0.55, 0.56, 0.57, 0.58, 0.59, 0.6, 0.61, 0.62, 0.63, 0.64, 0.65, |
| 0.66, 0.67, 0.68, 0.69, 0.7, 0.71, 0.72, 0.73, 0.74, 0.75, 0.76, |
| 0.77, 0.78, 0.79, 0.8, 0.81, 0.82, 0.83, 0.84, 0.85, 0.86, 0.87, |
| 0.88, 0.89, 0.9, 0.91, 0.92, 0.93, 0.94, 0.95, 0.96, 0.97, 0.98, |
| 0.99, 1.0 |
| }; |
| std::vector<double> expectedResult{ |
| 1.0, 0.9995065603657316, 0.9980267284282716, 0.99556196460308, |
| 0.9921147013144779, 0.9876883405951378, 0.9822872507286887, |
| 0.9759167619387474, 0.9685831611286311, 0.9602936856769431, |
| 0.9510565162951535, 0.9408807689542255, 0.9297764858882515, |
| 0.9177546256839811, 0.9048270524660195, 0.8910065241883679, |
| 0.8763066800438636, 0.8607420270039436, 0.8443279255020151, |
| 0.8270805742745618, 0.8090169943749475, 0.7901550123756904, |
| 0.7705132427757893, 0.7501110696304596, 0.7289686274214116, |
| 0.7071067811865476, 0.6845471059286886, 0.6613118653236518, |
| 0.6374239897486896, 0.6129070536529766, 0.5877852522924731, |
| 0.5620833778521306, 0.5358267949789965, 0.5090414157503712, |
| 0.48175367410171516, 0.4539904997395468, 0.42577929156507266, |
| 0.39714789063478056, 0.3681245526846781, 0.3387379202452915, |
| 0.30901699437494745, 0.2789911060392295, 0.24868988716485496, |
| 0.2181432413965427, 0.18738131458572474, 0.15643446504023092, |
| 0.12533323356430426, 0.0941083133185145, 0.06279051952931353, |
| 0.031410759078128396, 6.123233995736766e-17, -0.03141075907812828, |
| -0.0627905195293134, -0.09410831331851438, -0.12533323356430437, |
| -0.15643446504023104, -0.18738131458572482, -0.21814324139654234, |
| -0.24868988716485463, -0.27899110603922916, -0.30901699437494734, |
| -0.33873792024529137, -0.368124552684678, -0.39714789063478045, |
| -0.4257792915650727, -0.4539904997395467, -0.48175367410171543, |
| -0.5090414157503713, -0.5358267949789969, -0.5620833778521304, |
| -0.587785252292473, -0.6129070536529763, -0.6374239897486897, |
| -0.6613118653236517, -0.6845471059286887, -0.7071067811865475, |
| -0.7289686274214113, -0.7501110696304596, -0.7705132427757891, |
| -0.7901550123756904, -0.8090169943749473, -0.8270805742745619, |
| -0.8443279255020149, -0.8607420270039435, -0.8763066800438634, |
| -0.8910065241883678, -0.9048270524660194, -0.9177546256839811, |
| -0.9297764858882513, -0.9408807689542255, -0.9510565162951535, |
| -0.9602936856769431, -0.9685831611286311, -0.9759167619387474, |
| -0.9822872507286886, -0.9876883405951377, -0.9921147013144778, |
| -0.99556196460308, -0.9980267284282716, -0.9995065603657316, -1.0 |
| }; |
| |
| float tolerance = 10e-7; |
| for (size_t i = 0; i < inputA.size(); i++) { |
| CHECK (expectedResult[i] == |
| Approx(arm::app::math::MathUtils::CosineF32(M_PI*inputA[i])).margin(tolerance)); |
| } |
| } |
| |
| TEST_CASE("Test SineF32") |
| { |
| /*Test Constants: */ |
| std::vector<double> inputA{ |
| 0.0, 0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09, 0.1, |
| 0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19, 0.2, 0.21, |
| 0.22, 0.23, 0.24, 0.25, 0.26, 0.27, 0.28, 0.29, 0.3, 0.31, 0.32, |
| 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39, 0.4, 0.41, 0.42, 0.43, |
| 0.44, 0.45, 0.46, 0.47, 0.48, 0.49, 0.5, 0.51, 0.52, 0.53, 0.54, |
| 0.55, 0.56, 0.57, 0.58, 0.59, 0.6, 0.61, 0.62, 0.63, 0.64, 0.65, |
| 0.66, 0.67, 0.68, 0.69, 0.7, 0.71, 0.72, 0.73, 0.74, 0.75, 0.76, |
| 0.77, 0.78, 0.79, 0.8, 0.81, 0.82, 0.83, 0.84, 0.85, 0.86, 0.87, |
| 0.88, 0.89, 0.9, 0.91, 0.92, 0.93, 0.94, 0.95, 0.96, 0.97, 0.98, |
| 0.99, 1.0 |
| }; |
| std::vector<double> expectedResult{ |
| |
| 0.0, 0.03141075907812829, 0.06279051952931337, 0.09410831331851431, |
| 0.12533323356430426, 0.15643446504023087, 0.1873813145857246, |
| 0.21814324139654256, 0.2486898871648548, 0.2789911060392293, |
| 0.3090169943749474, 0.33873792024529137, 0.3681245526846779, |
| 0.3971478906347806, 0.4257792915650727, 0.45399049973954675, |
| 0.4817536741017153, 0.5090414157503713, 0.5358267949789967, |
| 0.5620833778521306, 0.5877852522924731, 0.6129070536529764, |
| 0.6374239897486896, 0.6613118653236518, 0.6845471059286886, |
| 0.7071067811865475, 0.7289686274214116, 0.7501110696304596, |
| 0.7705132427757893, 0.7901550123756903, 0.8090169943749475, |
| 0.8270805742745618, 0.8443279255020151, 0.8607420270039436, |
| 0.8763066800438637, 0.8910065241883678, 0.9048270524660196, |
| 0.9177546256839811, 0.9297764858882513, 0.9408807689542255, |
| 0.9510565162951535, 0.960293685676943, 0.9685831611286311, |
| 0.9759167619387473, 0.9822872507286886, 0.9876883405951378, |
| 0.9921147013144779, 0.99556196460308, 0.9980267284282716, |
| 0.9995065603657316, 1.0, 0.9995065603657316, |
| 0.9980267284282716, 0.99556196460308, 0.9921147013144778, |
| 0.9876883405951377, 0.9822872507286886, 0.9759167619387474, |
| 0.9685831611286312, 0.9602936856769431, 0.9510565162951536, |
| 0.9408807689542255, 0.9297764858882513, 0.9177546256839813, |
| 0.9048270524660195, 0.8910065241883679, 0.8763066800438635, |
| 0.8607420270039436, 0.844327925502015, 0.827080574274562, |
| 0.8090169943749475, 0.7901550123756905, 0.7705132427757893, |
| 0.7501110696304597, 0.7289686274214114, 0.7071067811865476, |
| 0.6845471059286888, 0.6613118653236518, 0.6374239897486899, |
| 0.6129070536529764, 0.5877852522924732, 0.5620833778521305, |
| 0.535826794978997, 0.5090414157503714, 0.4817536741017156, |
| 0.45399049973954686, 0.4257792915650729, 0.3971478906347806, |
| 0.36812455268467814, 0.3387379202452913, 0.3090169943749475, |
| 0.2789911060392291, 0.24868988716485482, 0.21814324139654231, |
| 0.18738131458572502, 0.15643446504023098, 0.12533323356430454, |
| 0.09410831331851435, 0.06279051952931358, 0.031410759078128236, |
| 1.2246467991473532e-16 |
| }; |
| float tolerance = 10e-4; |
| for (size_t i = 0; i < inputA.size(); i++) { |
| CHECK (expectedResult[i] == |
| Approx(arm::app::math::MathUtils::SineF32(M_PI*inputA[i])).margin(tolerance)); |
| } |
| } |
| |
| TEST_CASE("Test SqrtF32") |
| { |
| /*Test Constants: */ |
| std::vector<float> inputA{0,1,2,9,M_PI}; |
| size_t len = inputA.size(); |
| std::vector<float> expectedResult{0, 1, 1.414213562, 3, 1.772453851 }; |
| |
| for (size_t i=0; i < len; i++){ |
| CHECK (expectedResult[i] == Approx(arm::app::math::MathUtils::SqrtF32(inputA[i]))); |
| } |
| } |
| |
| TEST_CASE("Test MeanF32") |
| { |
| /* Test Constants: */ |
| std::vector<float> input |
| {0.000, 0.000, 0.000, 0.000, 0.000, 0.000, 0.000, 0.000, 0.000, 1.000}; |
| |
| /* Manually calculated mean of above vector */ |
| float expectedResult = 0.100; |
| CHECK (expectedResult == Approx(arm::app::math::MathUtils::MeanF32(input.data(), input.size()))); |
| |
| /* Mean of 0 */ |
| std::vector<float> input2{1, 2, -1, -2}; |
| float expectedResult2 = 0.0f; |
| CHECK (expectedResult2 == Approx(arm::app::math::MathUtils::MeanF32(input2.data(), input2.size()))); |
| |
| /* All 0s */ |
| std::vector<float> input3 = std::vector<float>(9, 0); |
| float expectedResult3 = 0.0f; |
| CHECK (expectedResult3 == Approx(arm::app::math::MathUtils::MeanF32(input3.data(), input3.size()))); |
| |
| /* All 1s */ |
| std::vector<float> input4 = std::vector<float>(9, 1); |
| float expectedResult4 = 1.0f; |
| CHECK (expectedResult4 == Approx(arm::app::math::MathUtils::MeanF32(input4.data(), input4.size()))); |
| } |
| |
| TEST_CASE("Test StdDevF32") |
| { |
| /*Test Constants: */ |
| /* Normally distributed sample data generated by numpy normal library */ |
| std::vector<float> input |
| {1.62434536, -0.61175641, -0.52817175, -1.07296862, 0.86540763, -2.3015387, |
| 1.74481176, -0.7612069, 0.3190391, -0.24937038, 1.46210794, -2.06014071, |
| -0.3224172, -0.38405435, 1.13376944, -1.09989127, -0.17242821, -0.87785842, |
| 0.04221375, 0.58281521, -1.10061918, 1.14472371, 0.90159072, 0.50249434, |
| 0.90085595, -0.68372786, -0.12289023, -0.93576943, -0.26788808, 0.53035547, |
| -0.69166075,-0.39675353, -0.6871727, -0.84520564, -0.67124613, -0.0126646, |
| -1.11731035, 0.2344157, 1.65980218, 0.74204416, -0.19183555, -0.88762896, |
| -0.74715829, 1.6924546, 0.05080775, -0.63699565, 0.19091548, 2.10025514, |
| 0.12015895, 0.61720311 |
| }; |
| uint32_t inputLen = input.size(); |
| |
| /*Calculate mean using std library to avoid dependency on MathUtils::MeanF32 */ |
| float mean = (std::accumulate(input.begin(), input.end(), 0.0f))/float(inputLen); |
| float output = arm::app::math::MathUtils::StdDevF32(input.data(), inputLen, mean); |
| |
| /*Manually calculated standard deviation of above vector*/ |
| float expectedResult = 0.969589282958136; |
| |
| CHECK (expectedResult == Approx(output)); |
| |
| /* All 0s should have 0 std dev. */ |
| std::vector<float> input2 = std::vector<float>(4, 0); |
| float expectedResult2 = 0.0f; |
| CHECK (expectedResult2 == Approx(arm::app::math::MathUtils::StdDevF32(input2.data(), input2.size(), 0.0f))); |
| |
| /* All 1s should have 0 std dev. */ |
| std::vector<float> input3 = std::vector<float>(4, 1); |
| float expectedResult3 = 0.0f; |
| CHECK (expectedResult3 == Approx(arm::app::math::MathUtils::StdDevF32(input3.data(), input3.size(), 1.0f))); |
| |
| /* Manually calclualted std value */ |
| std::vector<float> input4 {1, 2, 3, 4, 5, 6, 7, 8, 9, 0}; |
| float mean2 = (std::accumulate(input4.begin(), input4.end(), 0.0f))/float(input4.size()); |
| float expectedResult4 = 2.872281323; |
| CHECK (expectedResult4 == Approx(arm::app::math::MathUtils::StdDevF32(input4.data(), input4.size(), mean2))); |
| } |
| |
| TEST_CASE("Test FFT32") |
| { |
| /*Test Constants: */ |
| std::vector<float> input_zeros(512, 0); |
| std::vector<float> input_ones(512, 1); |
| /* Random numbers generated using numpy rand with range [0:1] */ |
| std::vector<float> input_random{ |
| 0.42333686,0.6547418,0.8933691,0.91466254,0.5992143,0.99474055,0.97750413,0.97160685, |
| 0.72718734,0.8699537,0.643911,0.09764466,0.0050113136,0.46823388,0.13709934,0.44892532, |
| 0.59728205,0.04055081,0.5579888,0.18445836,0.66469765,0.82715863,0.91934484,0.7844356, |
| 0.23489648,0.021708783,0.67819905,0.75761676,0.48374954,0.14006922,0.87082034,0.7694296, |
| 0.80479276,0.8241704,0.95917296,0.5758142,0.16839339,0.34290153,0.5846108,0.6878044, |
| 0.1067114,0.5198196,0.4356897,0.68049103,0.12480807,0.3538696,0.06067087,0.056964435, |
| 0.5382167,0.07761527,0.6673144,0.9045368,0.11050189,0.03530183,0.07864744,0.98752064, |
| 0.014321936,0.101833574,0.43293256,0.87102246,0.52411795,0.90232223,0.49560344,0.6803092, |
| 0.2908511,0.14653015,0.99105513,0.7057098,0.09623502,0.039713606,0.88669086,0.56018597, |
| 0.90632766,0.99241334,0.18748309,0.38991618,0.6359827,0.05665585,0.732304,0.2703365, |
| 0.19014524,0.5017947,0.78862536,0.81253093,0.35050204,0.2832596,0.65221876,0.59856164, |
| 0.42758793,0.78865635,0.30943435,0.93780816,0.62568265,0.35397422,0.84209913,0.48590583, |
| 0.34837773,0.5811646,0.42924216,0.26692122,0.030709852,0.84459823,0.09085059,0.29297647, |
| 0.48539516,0.33488297,0.7877257,0.8728821,0.28454545,0.7109578,0.86097074,0.8536262, |
| 0.4978063,0.5760398,0.77506036,0.7716988,0.27041402,0.52340513,0.2055419,0.8728235, |
| 0.13492358,0.79122984,0.52998376,0.33897072,0.6426309,0.8766521,0.89287037,0.74047667, |
| 0.42341164,0.67437655,0.4682156,0.67123246,0.54287183,0.3580476,0.94756556,0.2699457, |
| 0.6131569,0.75043845,0.8115012,0.49610943,0.7108478,0.90941435,0.02233071,0.37346774, |
| 0.33732748,0.46691266,0.35784695,0.39391598,0.8556212,0.884142,0.11730601,0.550112, |
| 0.31513855,0.69654715,0.58585805,0.4493127,0.78515726,0.8176612,0.9846698,0.32842383, |
| 0.41843212,0.48470423,0.6757128,0.95876855,0.5989163,0.13587572,0.72886884,0.88291156, |
| 0.34402263,0.66211045,0.86188424,0.21498202,0.26397392,0.67372984,0.91386956,0.7339788, |
| 0.91308993,0.1953016,0.1539217,0.214701,0.58234113,0.8019992,0.63969976,0.041050985, |
| 0.7293308,0.26341477,0.54768014,0.97596467,0.12385198,0.44149798,0.5519762,0.1697347, |
| 0.577215,0.8213594,0.47874716,0.64515114,0.61467725,0.18463866,0.23890929,0.51052976, |
| 0.16807361,0.53142565,0.2414274,0.41690814,0.98815554,0.6245643,0.9477003,0.24780034, |
| 0.82469565,0.8614785,0.9565832,0.062440686,0.9710724,0.039196696,0.11030199,0.35234734, |
| 0.02065066,0.12832293,0.7328055,0.48924434,0.17247158,0.5769348,0.44146806,0.53575355, |
| 0.17258933,0.6980237,0.86494404,0.50573164,0.5033998,0.71199447,0.41353586,0.26767612, |
| 0.3789118,0.046621118,0.58491063,0.22861995,0.03134273,0.53280216,0.23382367,0.07748905, |
| 0.96875405,0.6613716,0.64087844,0.8377165,0.051519375,0.68997836,0.3776376,0.43362603, |
| 0.5358754,0.51419014,0.12823892,0.26574057,0.508808,0.15734084,0.78327274,0.5045347, |
| 0.5445746,0.89297736,0.8531272,0.91270804,0.87429863,0.3965137,0.13544834,0.74269205, |
| 0.80592203,0.045050766,0.13362087,0.17090783,0.02873757,0.99339336,0.6394376,0.48203012, |
| 0.70598215,0.37082237,0.39792424,0.89938444,0.312602,0.48755112,0.18220617,0.17303479, |
| 0.31954846,0.78080165,0.1755106,0.68262285,0.84665287,0.8520143,0.8459509,0.39417005, |
| 0.30087698,0.81362164,0.61927587,0.32739028,0.9023775,0.27578092,0.6830477,0.15842387, |
| 0.8473049,0.43057114,0.2019703,0.20560141,0.6237757,0.60283095,0.27645138,0.26605442, |
| 0.27985683,0.41353813,0.85139906,0.71711886,0.5444832,0.73613757,0.7397004,0.7406752, |
| 0.41016674,0.31896713,0.4541723,0.2795807,0.47941738,0.00504193,0.89091027,0.8097144, |
| 0.63033766,0.37252298,0.9132861,0.5102532,0.04104481,0.30368647,0.21573475,0.99520445, |
| 0.5047808,0.6868845,0.99881023,0.30377692,0.2554386,0.47201005,0.11120686,0.10077732, |
| 0.1853349,0.49159425,0.3938629,0.8989509,0.9887155,0.698771,0.695701,0.78368753,0.52537227, |
| 0.19451462,0.3659248,0.1968508,0.7751828,0.33103722,0.40406147,0.37832898,0.68663514, |
| 0.32225925,0.41771907,0.034218453,0.42808908,0.20685343,0.1861495,0.045986768,0.8532299, |
| 0.17200677,0.44670314,0.56831235,0.5388232,0.5430553,0.69175136,0.6462231,0.42827028, |
| 0.10050113,0.30627027,0.9967943,0.6684778,0.5928422,0.63392985,0.99123496,0.79301435, |
| 0.7936309,0.42839453,0.39781123,0.22329247,0.0122212395,0.2807108,0.19812097,0.5576105, |
| 0.115653396,0.3732018,0.7622857,0.19847734,0.5310287,0.7298145,0.5518292,0.9117333, |
| 0.13215758,0.33716795,0.42372775,0.6779287,0.35799992,0.097887225,0.20171605,0.9948177, |
| 0.1829232,0.80349857,0.9807098,0.22959666,0.67322475,0.63094735,0.93454355,0.15962408, |
| 0.04335433,0.47104993,0.36784375,0.45258796,0.93415564,0.1655446,0.7195017,0.76236975, |
| 0.3846913,0.01330617,0.84716374,0.1227003,0.65102947,0.6632434,0.3728453,0.4222391, |
| 0.6942989,0.16014872,0.10798196,0.94033676,0.026525471,0.8379024,0.5484514,0.13500613, |
| 0.22919805,0.7001831,0.6573261,0.38086265,0.8725666,0.35077834,0.28415123,0.42283052, |
| 0.668379,0.9769895,0.37621376,0.646407,0.11188069,0.17129017,0.7441628,0.25617477, |
| 0.7751679,0.8565412,0.67631435,0.45213568,0.61896557,0.3387995,0.51607716,0.60779697, |
| 0.16428445,0.5080923,0.13012086,0.61184275,0.7690249,0.9578811,0.67365676,0.16241212, |
| 0.97157824,0.5595742,0.75936574,0.6043881,0.2149638,0.4925318,0.58727825,0.97953695, |
| 0.01605968,0.2819307,0.6448378,0.4265335,0.661541,0.3976571,0.40607136,0.46425515, |
| 0.2055872,0.2716193,0.4132582,0.8372537,0.37787434,0.082228854,0.7985557,0.9718134, |
| 0.35222608,0.4853643,0.2569464,0.14783978,0.4889042,0.62900156,0.19994198,0.4618481, |
| 0.21673755,0.51749533,0.1260157,0.83759904,0.36438805,0.6704668,0.22010763,0.2359318, |
| 0.53004104,0.9723652,0.91218954,0.9153926,0.48207277,0.34850466,0.8939421 |
| }; |
| std::vector<std::vector<float>> input_vectors{input_zeros, |
| input_ones, |
| input_random}; |
| |
| std::vector<float> output_zeros(512, 0); |
| std::vector<float> output_ones(512, 0); |
| std::vector<float> output_random(512, 0); |
| std::vector<std::vector<float>> output_vectors{output_zeros, |
| output_ones, |
| output_random}; |
| |
| std::vector<float> expected_result_zeros(512, 0); |
| std::vector<float> expected_result_ones(512, 0); |
| expected_result_ones[0] = 512.0; |
| |
| /* Values are stored as [real0, realN/2, real1, im1, real2, im2, ...] */ |
| std::vector<float> expected_result_random{ |
| 2.59510161e+02, 2.59796867, 2.55982143, -5.91349888, |
| -1.80049237, 1.09902763, 4.00943240, 7.76684892, |
| 4.32617219, -4.33636417, 2.98128463, -0.83763449, |
| 2.92973078, -3.75655459, 2.27203161, -4.61106145, |
| 5.55562176, -4.71880166, 2.13693416, -2.20496619, |
| 2.31174036, -3.52991041, -6.16870680e-01, 2.43455407, |
| 4.76317833, 8.66518565, 1.72350562, -1.33641312, |
| 5.82836675, 0.89396187, 8.15031483, 4.34599034, |
| 5.99780199, 2.94900065, -2.34462045e-02, -5.03789597, |
| 1.21907020e+01, -6.47012928, 1.24434715, 0.23621713, |
| 9.20921279e-01, -9.20510398, -7.73267254e-01, -3.72141078, |
| 6.28883709, 4.00634065, 4.46491682, 0.74625307, |
| -5.87506158e-01, -4.22833058, 3.15189786, -1.82518672, |
| -6.93782260, 2.4170692, 3.23045185, 3.33383799, |
| 5.10059531e-02, -3.4233929, -2.91651323, -0.0258584, |
| 5.84499843, -9.51454903, -1.49214047e+01, 5.52200123, |
| 4.52179590, -7.08268703, 5.16775420e-01, -2.90878759, |
| 5.04314682, -1.16928599, -1.07329243e+01, -0.2719951, |
| -3.95269565, -2.32475678, -4.11031641, -2.20538835, |
| -5.89005095e-01, -5.65483456, -1.08927018e+01, 5.74801823, |
| -5.72520347, -3.94970165, -5.18407515e-01, 1.23622633, |
| 9.56297959, 0.24424306, -3.74306351, 9.63476301, |
| -4.74493837, -0.35443496, 6.54760504, 1.16188913, |
| -1.33416950e+01, 7.19088609, -2.56045800, -0.49557866, |
| 2.93460322, 6.91076746, -2.84779221e-01, 6.59958391, |
| 1.70963995, -7.67293252, 4.18500790, -0.14627552, |
| -1.24855113, -1.43322867, 3.60644904e-01, -4.11521374, |
| -1.00628421e+01, 2.87531563, -9.34809732, -0.58251846, |
| 3.61799848, -5.10288284, -5.96239076, 1.99792128, |
| -7.83229243e-02, 1.81741166, 2.32709681, 0.68487206, |
| -3.08398468, 1.5177629 , 1.41015388, 4.51146401, |
| 1.90769911, 0.56093423, 3.58389141, -0.14974575, |
| -2.20163907, -1.62177814, -1.91904127, 1.94645907, |
| -1.37722930e-01, -4.30291678, -2.61843435, 0.12691241, |
| 3.28959117, 4.7309582 , -2.93995652, 0.39835926, |
| 2.89711768, 1.42284586, -5.13129145, -7.26477374, |
| 3.74616158, -2.59659457, 3.85748750, -2.93737277, |
| 3.17748694, -4.45041455, -2.68466437, 1.37377726, |
| 1.60008368, 1.63787578, -1.95661401, -6.34937202, |
| -2.62744282, -5.20892662, 8.90553959e-01, -6.37113573, |
| 2.35885332,-10.04547561, 3.29866159e-01, 1.89217741, |
| 8.82516491e-01, -3.53298728, -2.22525608, -5.64794388, |
| -5.19226843, 2.5971315 , 4.49346648, -0.20428409, |
| -6.14851885,-11.90893875, 3.75899776, -1.86910056, |
| 2.78518535, -2.6359501 , -2.13423317, 4.86509946, |
| -2.37625499, 7.42404308, 6.71175474, 6.06191618, |
| 2.59014379, 4.76329698, 9.19140042, 9.69149015, |
| 3.33307819, -4.03094924, 2.12988453, -0.15820258, |
| -1.03422801e+01, -3.04462388, 3.59852152, -2.00887343, |
| -3.69998656, 0.90050102, 6.79959099e-01, -1.88604949, |
| 1.24235316, 0.41309537, 6.13876866, -7.1040085 , |
| 6.17728674, 1.91667103, -1.32895472, -0.17674661, |
| -6.94720428, 3.10502593, -2.33990738, -1.27840434, |
| 3.21442520, 2.14102714, 2.37498837, 3.8158066 , |
| -2.24107675, -5.52527559, -2.95697930, -0.50367608, |
| 3.01687661, 7.08195792, 6.78604790, -3.94154162, |
| 2.24402195, 4.60132638, 3.42211139, 4.17689039, |
| -1.17277194, 2.15404472, -2.37481930, 1.42611867, |
| -4.63033506e-01, 3.21563035, 1.38662123, 3.98598717, |
| -3.75283402, -2.47600433, -1.97290542, 2.83361487, |
| -8.45662834e-01, 5.57411581, -9.72981483e-01,-11.394208, |
| 1.88220611, -0.80225125, -4.34295854e-01, -8.2954126, |
| 3.81795409, -3.17146 , -4.61994107, -1.59820505, |
| -5.98834455, -4.93129451, -5.13862996e-01, -0.15649305, |
| -5.59094391, 6.25244435, -6.59974456,13.17193115, |
| 4.48609092, 1.64741879, 7.40985006, 0.44896188, |
| 3.81058449, -0.76425931, -5.47938416, 4.01447941, |
| -3.21535548, -1.45542238, 7.22740830e-01, -0.23983128, |
| -4.32373034, 0.1337671 , -5.89365226, -3.18756318, |
| 7.90979161, 5.27570134, -3.43094553, -6.00826981, |
| 1.17932561, -3.50027177, 1.81306385e-01, 1.1062498 , |
| 7.23650536e-01, -1.55500613, -3.88047911, -2.43746762, |
| -6.81565579, 2.16343352, 2.46366137, 2.38704469, |
| -2.55106395, 6.5091449 , -2.06510578,11.11320924, |
| 2.06649835, -1.05026064, 1.63564303, -0.04638729, |
| 1.45053876, 0.43730146, 1.25027939, 0.79932743, |
| 2.81088838, 6.95136058, -4.41417255, 2.89610628, |
| 1.15426258, -2.60704937, -2.77744882, 4.12872365, |
| -2.98288336, 6.75607352, 2.36553382, -2.10540332, |
| -7.30042988, -5.44897893, 3.44048454, 4.29726231, |
| 2.18199500, -0.80126759, -4.04051175, 4.57584864, |
| 9.56312116e-01, -4.45183318, 3.42348929, -9.84138181, |
| 8.69604433, -6.6481311 , 4.68232735e-01, 1.41031176, |
| -1.24085700,10.61672181, 3.56591473e-01,10.51631421, |
| -9.97435470e-01, 2.72157537, 8.63583929, -2.19404252, |
| -1.53605811, -4.41068581, 2.05371873, 1.25665769, |
| 1.65289503, 4.52520582, -5.35062642e-01, 0.82084677, |
| -1.10079476e+01, -5.09361474, 9.63129107, 3.90056638, |
| -4.19779738, 0.06565745, 2.42526917, 2.5854233 , |
| -3.66709357, 3.80502971, -1.01489353e-01, -6.85423228, |
| -1.39361494e+01, -0.43904617, 6.01800968, -1.30751495, |
| -4.75122234, 2.74740671, 5.54971138, 9.43409003, |
| -9.94733058e-01, -3.0096825 , -8.60263376, 0.36653762, |
| 3.53318614, -2.69194556, -8.95145740, -4.71570923, |
| 5.15417709, 2.68645385, -2.78042293, 8.21739385, |
| 5.90225003e-01, 2.13319153, 1.72158888, 0.18114627, |
| 3.92269446, 3.3525857 , -3.40313825, 4.39280934, |
| -1.70368966, 1.29121245, -3.11326453, -1.85941318, |
| 4.57078881, 0.72531039, 6.00445664, 4.9588524 , |
| -3.32944491, -0.02080722, -7.42374632, -3.23290026, |
| -8.16145790e-01, 3.55935439, -6.19206533e-01, 2.42859073, |
| 2.21486456, 3.76402487, 3.90930695, -3.61610186, |
| -8.12712547e-01,-14.63377988, 1.14460823, -3.14089899, |
| 3.18097435, 1.21957751, 2.85181833, 0.89990235, |
| -4.32147361, -5.54219361, -1.12253677, 2.96141081, |
| -4.42577070, 3.17282306, 4.91746710, 1.16977744, |
| -4.55148089, -2.82520179, -1.71684103, 1.91487668, |
| 7.70726836e-01, 0.78534837, -5.91048566, -4.8288477 , |
| -1.35560162, -3.60938315, 1.15812301, 2.44299541, |
| 1.36115190, -5.40950935, 7.08292127, 0.27720591, |
| -1.60210828e-01, 2.75862348, -1.57403782, 9.97207524, |
| -2.08957576, 8.70299964, -5.33004663, 4.1547783 , |
| 3.51580675, -5.10788085, 4.37938353, -3.73449894, |
| 1.44673271, 0.51941469, 8.52232446e-01, -1.1134965 , |
| -1.43972745, -1.62952127, -2.50759973, 1.19012213, |
| 5.72772282e-01, -2.71833059, -6.84718990, 4.2621535 , |
| 1.58954734, -0.53827818, -1.44624396e-01, 7.63866979, |
| 4.10423977e-01, -2.4785678 , -5.02681867, -2.03469811, |
| 9.59505727e-01, 2.68589705, 3.20889444,-10.76452533, |
| -3.84771551, 2.49189796, -3.19895938, -3.49948794, |
| -2.67238970, 5.11386526, -3.85957031, -1.40741978, |
| 1.76663166e-01,-11.7111276 , 6.39997364e-01, -1.30321198, |
| 3.20767633, 1.65750671, -1.16187257e+01, -4.36634782, |
| -3.18675281, -4.89279155, -4.08760307, 2.19269283, |
| -1.58924870, 0.17948212, 4.81376107, 2.01871001, |
| -3.24211095e-01, -0.2790092 , 1.12603878, -3.61503491, |
| -2.86982317, -3.03634532, 8.07713910, 2.21302089, |
| 2.91496011, -2.58564072, -2.45868054, -4.69447438, |
| -2.45868054, 4.69447438, |
| 2.91496011, 2.58564072, 8.07713910, -2.21302089, |
| -2.86982317, 3.03634532, 1.12603878, 3.61503491, |
| -3.24211095e-01, 0.2790092 , 4.81376107, -2.01871001, |
| -1.58924870, -0.17948212, -4.08760307, -2.19269283, |
| -3.18675281, 4.89279155, -1.16187257e+01, 4.36634782, |
| 3.20767633, -1.65750671, 6.39997364e-01, 1.30321198, |
| 1.76663166e-01,11.7111276 , -3.85957031, 1.40741978, |
| -2.67238970, -5.11386526, -3.19895938, 3.49948794, |
| -3.84771551, -2.49189796, 3.20889444,10.76452533, |
| 9.59505727e-01, -2.68589705, -5.02681867, 2.03469811, |
| 4.10423977e-01, 2.4785678 , -1.44624396e-01, -7.63866979, |
| 1.58954734, 0.53827818, -6.84718990, -4.2621535 , |
| 5.72772282e-01, 2.71833059, -2.50759973, -1.19012213, |
| -1.43972745, 1.62952127, 8.52232446e-01, 1.1134965 , |
| 1.44673271, -0.51941469, 4.37938353, 3.73449894, |
| 3.51580675, 5.10788085, -5.33004663, -4.1547783 , |
| -2.08957576, -8.70299964, -1.57403782, -9.97207524, |
| -1.60210828e-01, -2.75862348, 7.08292127, -0.27720591, |
| 1.36115190, 5.40950935, 1.15812301, -2.44299541, |
| -1.35560162, 3.60938315, -5.91048566, 4.8288477 , |
| 7.70726836e-01, -0.78534837, -1.71684103, -1.91487668, |
| -4.55148089, 2.82520179, 4.91746710, -1.16977744, |
| -4.42577070, -3.17282306, -1.12253677, -2.96141081, |
| -4.32147361, 5.54219361, 2.85181833, -0.89990235, |
| 3.18097435, -1.21957751, 1.14460823, 3.14089899, |
| -8.12712547e-01,14.63377988, 3.90930695, 3.61610186, |
| 2.21486456, -3.76402487, -6.19206533e-01, -2.42859073, |
| -8.16145790e-01, -3.55935439, -7.42374632, 3.23290026, |
| -3.32944491, 0.02080722, 6.00445664, -4.9588524 , |
| 4.57078881, -0.72531039, -3.11326453, 1.85941318, |
| -1.70368966, -1.29121245, -3.40313825, -4.39280934, |
| 3.92269446, -3.3525857 , 1.72158888, -0.18114627, |
| 5.90225003e-01, -2.13319153, -2.78042293, -8.21739385, |
| 5.15417709, -2.68645385, -8.95145740, 4.71570923, |
| 3.53318614, 2.69194556, -8.60263376, -0.36653762, |
| -9.94733058e-01, 3.0096825 , 5.54971138, -9.43409003, |
| -4.75122234, -2.74740671, 6.01800968, 1.30751495, |
| -1.39361494e+01, 0.43904617, -1.01489353e-01, 6.85423228, |
| -3.66709357, -3.80502971, 2.42526917, -2.5854233 , |
| -4.19779738, -0.06565745, 9.63129107, -3.90056638, |
| -1.10079476e+01, 5.09361474, -5.35062642e-01, -0.82084677, |
| 1.65289503, -4.52520582, 2.05371873, -1.25665769, |
| -1.53605811, 4.41068581, 8.63583929, 2.19404252, |
| -9.97435470e-01, -2.72157537, 3.56591473e-01,-10.51631421, |
| -1.24085700,-10.61672181, 4.68232735e-01, -1.41031176, |
| 8.69604433, 6.6481311 , 3.42348929, 9.84138181, |
| 9.56312116e-01, 4.45183318, -4.04051175, -4.57584864, |
| 2.18199500, 0.80126759, 3.44048454, -4.29726231, |
| -7.30042988, 5.44897893, 2.36553382, 2.10540332, |
| -2.98288336, -6.75607352, -2.77744882, -4.12872365, |
| 1.15426258, 2.60704937, -4.41417255, -2.89610628, |
| 2.81088838, -6.95136058, 1.25027939, -0.79932743, |
| 1.45053876, -0.43730146, 1.63564303, 0.04638729, |
| 2.06649835, 1.05026064, -2.06510578,-11.11320924, |
| -2.55106395, -6.5091449 , 2.46366137, -2.38704469, |
| -6.81565579, -2.16343352, -3.88047911, 2.43746762, |
| 7.23650536e-01, 1.55500613, 1.81306385e-01, -1.1062498 , |
| 1.17932561, 3.50027177, -3.43094553, 6.00826981, |
| 7.90979161, -5.27570134, -5.89365226, 3.18756318, |
| -4.32373034, -0.1337671 , 7.22740830e-01, 0.23983128, |
| -3.21535548, 1.45542238, -5.47938416, -4.01447941, |
| 3.81058449, 0.76425931, 7.40985006, -0.44896188, |
| 4.48609092, -1.64741879, -6.59974456,-13.17193115, |
| -5.59094391, -6.25244435, -5.13862996e-01, 0.15649305, |
| -5.98834455, 4.93129451, -4.61994107, 1.59820505, |
| 3.81795409, 3.17146 , -4.34295854e-01, 8.2954126 , |
| 1.88220611, 0.80225125, -9.72981483e-01,11.394208 , |
| -8.45662834e-01, -5.57411581, -1.97290542, -2.83361487, |
| -3.75283402, 2.47600433, 1.38662123, -3.98598717, |
| -4.63033506e-01, -3.21563035, -2.37481930, -1.42611867, |
| -1.17277194, -2.15404472, 3.42211139, -4.17689039, |
| 2.24402195, -4.60132638, 6.78604790, 3.94154162, |
| 3.01687661, -7.08195792, -2.95697930, 0.50367608, |
| -2.24107675, 5.52527559, 2.37498837, -3.8158066 , |
| 3.21442520, -2.14102714, -2.33990738, 1.27840434, |
| -6.94720428, -3.10502593, -1.32895472, 0.17674661, |
| 6.17728674, -1.91667103, 6.13876866, 7.1040085 , |
| 1.24235316, -0.41309537, 6.79959099e-01, 1.88604949, |
| -3.69998656, -0.90050102, 3.59852152, 2.00887343, |
| -1.03422801e+01, 3.04462388, 2.12988453, 0.15820258, |
| 3.33307819, 4.03094924, 9.19140042, -9.69149015, |
| 2.59014379, -4.76329698, 6.71175474, -6.06191618, |
| -2.37625499, -7.42404308, -2.13423317, -4.86509946, |
| 2.78518535, 2.6359501 , 3.75899776, 1.86910056, |
| -6.14851885,11.90893875, 4.49346648, 0.20428409, |
| -5.19226843, -2.5971315 , -2.22525608, 5.64794388, |
| 8.82516491e-01, 3.53298728, 3.29866159e-01, -1.89217741, |
| 2.35885332,10.04547561, 8.90553959e-01, 6.37113573, |
| -2.62744282, 5.20892662, -1.95661401, 6.34937202, |
| 1.60008368, -1.63787578, -2.68466437, -1.37377726, |
| 3.17748694, 4.45041455, 3.85748750, 2.93737277, |
| 3.74616158, 2.59659457, -5.13129145, 7.26477374, |
| 2.89711768, -1.42284586, -2.93995652, -0.39835926, |
| 3.28959117, -4.7309582 , -2.61843435, -0.12691241, |
| -1.37722930e-01, 4.30291678, -1.91904127, -1.94645907, |
| -2.20163907, 1.62177814, 3.58389141, 0.14974575, |
| 1.90769911, -0.56093423, 1.41015388, -4.51146401, |
| -3.08398468, -1.5177629 , 2.32709681, -0.68487206, |
| -7.83229243e-02, -1.81741166, -5.96239076, -1.99792128, |
| 3.61799848, 5.10288284, -9.34809732, 0.58251846, |
| -1.00628421e+01, -2.87531563, 3.60644904e-01, 4.11521374, |
| -1.24855113, 1.43322867, 4.18500790, 0.14627552, |
| 1.70963995, 7.67293252, -2.84779221e-01, -6.59958391, |
| 2.93460322, -6.91076746, -2.56045800, 0.49557866, |
| -1.33416950e+01, -7.19088609, 6.54760504, -1.16188913, |
| -4.74493837, 0.35443496, -3.74306351, -9.63476301, |
| 9.56297959, -0.24424306, -5.18407515e-01, -1.23622633, |
| -5.72520347, 3.94970165, -1.08927018e+01, -5.74801823, |
| -5.89005095e-01, 5.65483456, -4.11031641, 2.20538835, |
| -3.95269565, 2.32475678, -1.07329243e+01, 0.2719951 , |
| 5.04314682, 1.16928599, 5.16775420e-01, 2.90878759, |
| 4.52179590, 7.08268703, -1.49214047e+01, -5.52200123, |
| 5.84499843, 9.51454903, -2.91651323, 0.0258584 , |
| 5.10059531e-02, 3.4233929 , 3.23045185, -3.33383799, |
| -6.93782260, -2.4170692 , 3.15189786, 1.82518672, |
| -5.87506158e-01, 4.22833058, 4.46491682, -0.74625307, |
| 6.28883709, -4.00634065, -7.73267254e-01, 3.72141078, |
| 9.20921279e-01, 9.20510398, 1.24434715, -0.23621713, |
| 1.21907020e+01, 6.47012928, -2.34462045e-02, 5.03789597, |
| 5.99780199, -2.94900065, 8.15031483, -4.34599034, |
| 5.82836675, -0.89396187, 1.72350562, 1.33641312, |
| 4.76317833, -8.66518565, -6.16870680e-01, -2.43455407, |
| 2.31174036, 3.52991041, 2.13693416, 2.20496619, |
| 5.55562176, 4.71880166, 2.27203161, 4.61106145, |
| 2.92973078, 3.75655459, 2.98128463, 0.83763449, |
| 4.32617219, 4.33636417, 4.00943240, -7.76684892, |
| -1.80049237, -1.09902763, 2.55982143, 5.91349888 |
| }; |
| |
| std::vector<std::vector<float>> expected_results_vectors{expected_result_zeros, |
| expected_result_ones, |
| expected_result_random}; |
| arm::app::math::FftInstance fftInstance; |
| /* Iterate over each of the input vectors, calculate FFT and compare with corresponding expected_results vectors */ |
| for (size_t j = 0; j < input_vectors.size(); j++) { |
| uint16_t fftLen = input_vectors[j].size(); |
| arm::app::math::MathUtils::FftInitF32(fftLen, fftInstance); |
| arm::app::math::MathUtils::FftF32(input_vectors[j], output_vectors[j], fftInstance); |
| |
| float tolerance = 10e-4; |
| for (size_t i = 0; i < fftLen/2; i++) { |
| CHECK (output_vectors[j][i] == |
| Approx(expected_results_vectors[j][i]).margin(tolerance)); |
| |
| } |
| } |
| } |
| |
| TEST_CASE("Test VecLogarithmF32") |
| { |
| /*Test Constants: */ |
| std::vector<float> input = |
| { 0.1e-10, 0.5, 1, M_PI, M_E }; |
| std::vector<float> expectedResult = |
| {-25.328436, -0.693147181, 0, 1.144729886, 1}; |
| std::vector<float> output(input.size()); |
| |
| arm::app::math::MathUtils::VecLogarithmF32(input,output); |
| |
| for (size_t i = 0; i < input.size(); i++) |
| CHECK (expectedResult[i] == Approx(output[i])); |
| } |
| |
| TEST_CASE("Test DotProductF32") |
| { |
| /*Test Constants: */ |
| std::vector<float> inputA |
| {1,1,1,0,0,0}; |
| std::vector<float> inputB |
| {0,0,0,1,1,1}; |
| uint32_t len = inputA.size(); |
| |
| float expectedResult = 0; |
| float dot_prod = arm::app::math::MathUtils::DotProductF32(inputA.data(), inputB.data(), len); |
| CHECK(dot_prod == expectedResult); |
| } |
| |
| TEST_CASE("Test ComplexMagnitudeSquaredF32") |
| { |
| /*Test Constants: */ |
| std::vector<float> input |
| {0.0, 0.0, 0.5, 0.5,1,1}; |
| size_t inputLen = input.size(); |
| |
| std::vector<float> expectedResult |
| {0.0, 0.5, 2,}; |
| size_t outputLen = inputLen/2; |
| std::vector<float>output(outputLen); |
| |
| /* Pass pointers to input/output vectors as this function over-writes the first half |
| * of the input vector with output results */ |
| arm::app::math::MathUtils::ComplexMagnitudeSquaredF32(input.data(), inputLen, output.data(), outputLen); |
| |
| for (size_t i = 0; i < outputLen; i++) { |
| CHECK (expectedResult[i] == Approx(output[i])); |
| } |
| } |
| |
| /** |
| * @brief Simple function to test the Softmax function |
| * |
| * @param input Input vector |
| * @param goldenOutput Expected output vector |
| */ |
| static void TestSoftmaxF32( |
| const std::vector<float>& input, |
| const std::vector<float>& goldenOutput) |
| { |
| std::vector<float> output = input; /* Function modifies the vector in-place */ |
| arm::app::math::MathUtils::SoftmaxF32(output); |
| |
| for (size_t i = 0; i < goldenOutput.size(); ++i) { |
| CHECK(goldenOutput[i] == Approx(output[i])); |
| } |
| |
| REQUIRE(output.size() == goldenOutput.size()); |
| } |
| |
| TEST_CASE("Test SoftmaxF32") |
| { |
| SECTION("Simple series") { |
| const std::vector<float> input { |
| 0.0, 1.0, 2.0, 3.0, 4.0, |
| 5.0, 6.0, 7.0, 8.0, 9.0 |
| }; |
| |
| const std::vector<float> expectedOutput { |
| 7.80134161e-05, 2.12062451e-04, |
| 5.76445508e-04, 1.56694135e-03, |
| 4.25938820e-03, 1.15782175e-02, |
| 3.14728583e-02, 8.55520989e-02, |
| 2.32554716e-01, 6.32149258e-01 |
| }; |
| |
| TestSoftmaxF32(input, expectedOutput); |
| } |
| |
| SECTION("Random series") { |
| const std::vector<float> input { |
| 0.8810943246170809, 0.5877587675947015, |
| 0.6841546454788743, 0.4155920960071594, |
| 0.9799415323651671, 0.5066432973545711, |
| 0.3846024252355448, 0.4568689569632123, |
| 0.3284413744557605, 0.49152323726213554 |
| }; |
| |
| const std::vector<float> expectedOutput { |
| 0.13329595, 0.09940837, |
| 0.10946799, 0.08368583, |
| 0.14714509, 0.09166319, |
| 0.08113220, 0.08721240, |
| 0.07670132, 0.09028766 |
| }; |
| |
| TestSoftmaxF32(input, expectedOutput); |
| } |
| |
| SECTION("Series with large STD") { |
| const std::vector<float> input { |
| 0.001, 1000.000 |
| }; |
| |
| const std::vector<float> expectedOutput { |
| 0.000, 1.000 |
| }; |
| |
| TestSoftmaxF32(input, expectedOutput); |
| } |
| } |