From 4cc61e4c1eacc4f1597129f72d4bf265380ba9f9 Mon Sep 17 00:00:00 2001 From: novak_99 Date: Sat, 12 Feb 2022 01:32:46 -0800 Subject: [PATCH] discrete cosine transform --- .DS_Store | Bin 8196 -> 10244 bytes MLPP/.DS_Store | Bin 14340 -> 14340 bytes MLPP/Transforms/Transforms.cpp | 58 +++++++++++++++++++++++++++++++++ MLPP/Transforms/Transforms.hpp | 20 ++++++++++++ README.md | 10 +++--- a.out | Bin 2214424 -> 2216632 bytes buildSO.sh | 2 +- main.cpp | 29 +++++++++++++---- 8 files changed, 107 insertions(+), 12 deletions(-) create mode 100644 MLPP/Transforms/Transforms.cpp create mode 100644 MLPP/Transforms/Transforms.hpp diff --git a/.DS_Store b/.DS_Store index ec4cd079eeabb9961e49498e689163f19f12e911..6444e6667a7ba82ab04fb9278e8565c901e641ce 100644 GIT binary patch literal 10244 zcmeHMU2GIp6h3Dubf#?S6k0*-%F2QkDYa0rpcJ-0{FDN%Y@scGWp-y;MrLQq&TLC5 zC5;JBiiS4?H4=S6V)Q{kV`BVy!Jh{WO$a8$h!3a_YJw(`81>wHXSdsJc{7IS++^;# z_uO;No%`MI-kp0F0I)HwEe8k#fJ6_IN|3TC5^HDAq!jQp#UzpZ0o)eTPQ*<+KFQWs z_z3t2_z3t2_z3t2+#3kcZ#GNPOdxP`Fcjn3f^qfnBHq@v=YeX)b~ zV9ZtBw9}}j_OM#J>K=@H2D%g_gVl(Htg(E zO3Ta3@0&aC{`n8g?@{K&)x@E`6dOU4ZQ7|uGp+CGOBq_MUriWRUze*Nabw0&y+@gy zXSzez_K&MNhWg2-Y+S*^ZA$67#pAX0_By)T)uWU+iIi=c?Y3jMhHZ7{w07@xXf9e@ zJ=tRQ+SKC!Vc*uz%$!|%${{()zpGnKrBtg=ZyefZs&U&!nVYlm+-Ju zZBOYeWMus>0^3NmHB+b*1qC9aKwsPnMxyN>@@j`=Te?hD(J0gJ;8JKHZtj9Za1>6# z%kUPw4_Dv@{0w)n5EWdAOK~OE<9ghTE!c`3*p0g}Ap!(4QymiZOpY3rva@PB15JX< zfw9c2evKZN`J9Hfv~JzDJ$P5B7@Xtd?o8NbI%zpQN@+qh6KPX*^#;>qAdxPAVsfTF zuc>RdW2ao2U<#H4vyyi79XbUy2J~hM?Iefa#jBx@6%Y(aVl~}IP zYv`$N)k)}V-^C1%TNSUQ1MCT8cn2=QW%vZXfNStA+#*K)3ctbc#LECmI2-3<1Q+AO_z2bzKi6Rt8*mHm z!cOc$6??G{4SX6MJc2_wjK}Zx#%CiMXanUbS)wRWB+5UJX_(tCorL$}}(Zidu=-txOlK!MfEl@n0$MTG!T7 zYpXKDYkjbRT0vAQDrd_77dmQtfmhgZQ@4@|4_^Q7!pDK z+(*Diz(>GGz(-&T1f~gHnBD(xxcmSAQ+WC+9|0eM{|W+F&>U-Sq|s!q4)O=a?%Koj z9H56KW;ZG%ccF}5$CKpO@l;{g@%)TQI`2@){i392{-Z)tiPFFRXMlhH_s{?0-j?5W J{U6W&e*R?UPd+Os%Q$QDYe9L&*_*kA vzB5i%)B<*_TsNjD5m z&d)6XDS!ej25mMFSivNWP2#6eK2tpw35Md_d>0p}S2-s9{QOR3{$WR;4LH=M5UsW# q1Kq_+*bOZUF3QWv&r1hd$~ZYdV##K11&`5a8EnzAU^BbHUv>bKvCL}# delta 58 zcmZoEXepTB&uF|cU^hRb@Wct~n~en&I3{PwFWjua_?&IB0;9oZZUqk%5uMHK27lQB DM +#include +#include + +namespace MLPP{ + + // DCT ii. + std::vector> Transforms::discreteCosineTransform(std::vector> A){ + LinAlg alg; + A = alg.scalarAdd(-128, A); // Center around 0. + + std::vector> B; + B.resize(A.size()); + for(int i = 0; i < B.size(); i++){ + B[i].resize(A[i].size()); + } + + int M = A.size(); + + for(int i = 0; i < B.size(); i++){ + for(int j = 0; j < B[i].size(); j++){ + double sum = 0; + double alphaI; + if(i == 0){ + alphaI = 1/std::sqrt(M); + } + else{ + alphaI = std::sqrt(double(2)/double(M)); + } + double alphaJ; + if(j == 0){ + alphaJ = 1/std::sqrt(M); + } + else{ + alphaJ = std::sqrt(double(2)/double(M)); + } + + for(int k = 0; k < B.size(); k++){ + for(int f = 0; f < B[k].size(); f++){ + sum += A[k][f] * std::cos( (M_PI * i * (2 * k + 1)) / (2 * M)) * std::cos( (M_PI * j * (2 * f + 1)) / (2 * M)); + } + } + B[i][j] = sum; + B[i][j] *= alphaI * alphaJ; + + } + } + return B; + } +} \ No newline at end of file diff --git a/MLPP/Transforms/Transforms.hpp b/MLPP/Transforms/Transforms.hpp new file mode 100644 index 0000000..d8bbb53 --- /dev/null +++ b/MLPP/Transforms/Transforms.hpp @@ -0,0 +1,20 @@ +// +// Transforms.hpp +// +// + +#ifndef Transforms_hpp +#define Transforms_hpp + +#include +#include + +namespace MLPP{ + class Transforms{ + public: + std::vector> discreteCosineTransform(std::vector> A); + + }; +} + +#endif /* Transforms_hpp */ diff --git a/README.md b/README.md index 55813c8..05d8e0b 100644 --- a/README.md +++ b/README.md @@ -190,9 +190,11 @@ The result will be the model's predictions for the entire dataset. 5. Diffrential Equations Solvers - Euler's Method - Growth Method -15. ***Linear Algebra Module*** -16. ***Statistics Module*** -17. ***Data Processing Module*** +15. ***Mathematical Transforms*** + 1. Discrete Cosine Transform +16. ***Linear Algebra Module*** +17. ***Statistics Module*** +18. ***Data Processing Module*** 1. Setting and Printing Datasets 2. Feature Scaling 3. Mean Normalization @@ -204,7 +206,7 @@ The result will be the model's predictions for the entire dataset. - RGB to YCbCr - RGB to XYZ - XYZ to RGB -18. ***Utilities*** +19. ***Utilities*** 1. TP, FP, TN, FN function 2. Precision 3. 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