From 50fb3f18d899cbb3f09716a3a9d9f9295db9fc5a Mon Sep 17 00:00:00 2001 From: Jason Liang <74435747+jaysunl@users.noreply.github.com> Date: Thu, 9 Dec 2021 01:10:08 -0800 Subject: [PATCH 01/17] Create distortion_filter.m --- src/distortion_filter.m | 26 ++++++++++++++++++++++++++ 1 file changed, 26 insertions(+) create mode 100644 src/distortion_filter.m diff --git a/src/distortion_filter.m b/src/distortion_filter.m new file mode 100644 index 0000000..e60f7cd --- /dev/null +++ b/src/distortion_filter.m @@ -0,0 +1,26 @@ +% An audio is distorted based on the value of HIGH. Nothing of a certain +% threshold should be played above this constant, or they are simply clipped to this +% value. Inspired from Meghaj_Echo.m and epic_effect_schluep.m. +% Author: Jason Liang + +function y = distortion_filter(x, HIGH) + len = length(X); + X = fft(x); + X = fftshift(X); + Y = zeros(1, len); + + for ind = 1:len + if (X(ind) > HIGH) + Y(ind) = HIGH; + elseif (X(ind) < -HIGH) + Y(ind) = -HIGH; + else + Y(ind) = X(ind); + end + end + + Y = fftshift(Y); + y = ifft(Y); + y = real(y); + +end From ecf6ec01ea781b79c27b2e96260e5abd24f7f2ba Mon Sep 17 00:00:00 2001 From: SeaSponge <61109988+Squidwarder@users.noreply.github.com> Date: Thu, 9 Dec 2021 18:56:59 -0800 Subject: [PATCH 02/17] Fixed fade_in.m Fixed the error where the dimensions don't agree for the operation input .* multiplier --- src/NotWorking/fade_in.m | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/src/NotWorking/fade_in.m b/src/NotWorking/fade_in.m index 22bef76..254d288 100644 --- a/src/NotWorking/fade_in.m +++ b/src/NotWorking/fade_in.m @@ -21,7 +21,10 @@ function output = fade_in(input, time) % set multiplier as 1D array % fade in effect: from no volume to full volume of signal multiplier = (1 : time) / time; - + + while length(multiplier) < len + multiplier = [multiplier 1]; + end % the resulting fade-in output output = input .* multiplier; end From 0c39f41ce8a4119a3b83f9910d00810bc55fc930 Mon Sep 17 00:00:00 2001 From: SeaSponge <61109988+Squidwarder@users.noreply.github.com> Date: Thu, 9 Dec 2021 18:58:31 -0800 Subject: [PATCH 03/17] Fixed fade_out.m Fixed the error of dimensions not matching in the operation input .* multiplier --- src/NotWorking/fade_out.m | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/src/NotWorking/fade_out.m b/src/NotWorking/fade_out.m index f50812b..f0821d3 100644 --- a/src/NotWorking/fade_out.m +++ b/src/NotWorking/fade_out.m @@ -23,6 +23,10 @@ function output = fade_out(input, time) % fade out effect: from full volume of signal to no volume multiplier = flip(multiplier) + + while length(multiplier) < len + multiplier = [multiplier 0]; + end % the resulting fade-in output output = input .* multiplier; From 9d72926d3876a18a4d3890689bc73437b16464ff Mon Sep 17 00:00:00 2001 From: MekhiTheKing <95403331+MekhiTheKing@users.noreply.github.com> Date: Thu, 9 Dec 2021 20:58:19 -0800 Subject: [PATCH 04/17] Add files via upload --- src/generate_cosine.m | 25 +++++++++++++++++++++++++ 1 file changed, 25 insertions(+) create mode 100644 src/generate_cosine.m diff --git a/src/generate_cosine.m b/src/generate_cosine.m new file mode 100644 index 0000000..8a013ed --- /dev/null +++ b/src/generate_cosine.m @@ -0,0 +1,25 @@ +function x = generate_cosine(amplitude, frequency, phase, fs, duration, duty) +% GENERATE_WAVENAME: returns a matrix of sampled WAVENAME wave + +% CONTRIBUTORS: +% Mekhi Ellington: Original Creator + +% DOCUMENTATION: +% phase shift is in number of periods +% fs is the sampling frequency: how many sample points per second +% duration is time in seconds +% duty is a number between 0 and 1 + + % initialize local variables from input arguments + n = fs * duration; % number of samples (length of matrix) + dt = 1 / fs; % sampling period: time between two sample points + + % initialize a one dimensional zero matrix to be populated + x = zeros(1, n); + + % populate the matrix + for i = 1:n + t = i * dt; + x(i) = amplitude * cos(2*pi*frequency*t-phase); + end +end \ No newline at end of file From 110dcccc03310127ce890c2a544de2dc37b3976a Mon Sep 17 00:00:00 2001 From: k7xu Date: Thu, 9 Dec 2021 21:02:30 -0800 Subject: [PATCH 05/17] added pulse wave for Brian --- src/Generators/generate_pulse.m | 26 ++++++++++++++++++++++++++ 1 file changed, 26 insertions(+) create mode 100644 src/Generators/generate_pulse.m diff --git a/src/Generators/generate_pulse.m b/src/Generators/generate_pulse.m new file mode 100644 index 0000000..6bc08bb --- /dev/null +++ b/src/Generators/generate_pulse.m @@ -0,0 +1,26 @@ +function x = generate_pulse(amplitude, frequency, phase, fs, duration, duty) +% GENERATE_puse: returns a matrix of sampled pulse wave + +% CONTRIBUTORS: +% Brian Tran: Created the wave + +% DOCUMENTATION: +% phase shift is in number of periods +% fs is the sampling frequency: how many sample points per second +% duration is time in seconds +% duty is a number between 0 and 1 + + % initialize local variables from input arguments + n = fs * duration; % number of samples (length of matrix) + dt = 1 / fs; % sampling period: time between two sample points + + % initialize a one dimensional zero matrix to be populated + x = zeros(1, n); + + % populate the matrix + for i = 1:n + F=F+(1/n)*cos(n*2*pi*(1e+6)*t).*sin(n*pi*0.1); + end + F=F*(2*10/pi); + F=F+10*0.1; +end \ No newline at end of file From 47705d3acb9fceea538e15e609534a86224b5ba0 Mon Sep 17 00:00:00 2001 From: Arthur Lu Date: Thu, 9 Dec 2021 21:07:03 -0800 Subject: [PATCH 06/17] moved distortion_filter, generate_heartbeat, to NotWorking --- src/{ => NotWorking}/distortion_filter.m | 0 src/{ => NotWorking}/generate_heartbeat.m | 0 2 files changed, 0 insertions(+), 0 deletions(-) rename src/{ => NotWorking}/distortion_filter.m (100%) rename src/{ => NotWorking}/generate_heartbeat.m (100%) diff --git a/src/distortion_filter.m b/src/NotWorking/distortion_filter.m similarity index 100% rename from src/distortion_filter.m rename to src/NotWorking/distortion_filter.m diff --git a/src/generate_heartbeat.m b/src/NotWorking/generate_heartbeat.m similarity index 100% rename from src/generate_heartbeat.m rename to src/NotWorking/generate_heartbeat.m From f9cdd4c503886e655025a3e8a88cf4d285949aba Mon Sep 17 00:00:00 2001 From: MekhiTheKing <95403331+MekhiTheKing@users.noreply.github.com> Date: Thu, 9 Dec 2021 21:13:56 -0800 Subject: [PATCH 07/17] Added Comments and Changed Formatting --- src/distortion_filter.m | 30 ++++++++++++++++++++++++++++++ 1 file changed, 30 insertions(+) create mode 100644 src/distortion_filter.m diff --git a/src/distortion_filter.m b/src/distortion_filter.m new file mode 100644 index 0000000..869aab7 --- /dev/null +++ b/src/distortion_filter.m @@ -0,0 +1,30 @@ +% An audio is distorted based on the value of HIGH. Nothing of a certain +% threshold should be played above this constant, or they are simply clipped to this +% value. Inspired from Meghaj_Echo.m and epic_effect_schluep.m. +% Author: Jason Liang +% Mekhi Ellington: Added some comments and editted formatting + +function y = distortion_filter(x, HIGH) + len = length(X); %Storing length of X. + X = fft(x); %X is the Fourier Transform of x. + X = fftshift(X); %Shifts X. + Y = zeros(1, len); %Matrix of length containing zeros. + + for ind = 1:len + if (X(ind) > HIGH) + Y(ind) = HIGH; + + elseif (X(ind) < -HIGH) + Y(ind) = -HIGH; + + else + Y(ind) = X(ind); + + end + end + + Y = fftshift(Y); %Shifts Y. + y = ifft(Y); %Inverse Fourier Transform of Y. + y = real(y); %Stores only the real part of the complex y. + +end \ No newline at end of file From 52a3bee8440a4a864871fcd2069c1188c96fab22 Mon Sep 17 00:00:00 2001 From: k7xu Date: Thu, 9 Dec 2021 21:32:24 -0800 Subject: [PATCH 08/17] Fixed my generator --- src/Generators/generate_pulse.m | 19 +++++++++++++------ 1 file changed, 13 insertions(+), 6 deletions(-) diff --git a/src/Generators/generate_pulse.m b/src/Generators/generate_pulse.m index 6bc08bb..2f9c316 100644 --- a/src/Generators/generate_pulse.m +++ b/src/Generators/generate_pulse.m @@ -13,14 +13,21 @@ function x = generate_pulse(amplitude, frequency, phase, fs, duration, duty) % initialize local variables from input arguments n = fs * duration; % number of samples (length of matrix) dt = 1 / fs; % sampling period: time between two sample points - % initialize a one dimensional zero matrix to be populated x = zeros(1, n); - + f0=1e+6; % 1MHz + Fs=3e+6; + Tf=0.001; % 1 millisecond + t=0:1/Fs:Tf-1/Fs; + td=0.1; % duty cycle + A0=10; % 10 Volts + F=0; + N=1000; % Number of points + % populate the matrix - for i = 1:n - F=F+(1/n)*cos(n*2*pi*(1e+6)*t).*sin(n*pi*0.1); + for n = 1:N + F=F+(1/n)*cos(n*2*pi*f0*t).*sin(n*pi*td); end - F=F*(2*10/pi); - F=F+10*0.1; + F=F*(2*A0/pi); + F=F+A0*td; end \ No newline at end of file From 81ac081614b9608c6d2b4367d94abdf68b66f77f Mon Sep 17 00:00:00 2001 From: Arthur Lu Date: Thu, 9 Dec 2021 22:43:53 -0800 Subject: [PATCH 09/17] added descriptive names to sound generator selection, dynamically populate src location, changed default sound generator duty to 0.5, set default band pass filter ceiling to 20khz --- App/app.mlapp | Bin 267133 -> 233902 bytes src/Select/SoundGeneratorSelect.m | 18 +++++++++--------- 2 files changed, 9 insertions(+), 9 deletions(-) diff --git a/App/app.mlapp b/App/app.mlapp index 85352a02038ba316a774536189bf298331cdab4e..e669fa68346cad2be3c84c539806d04ec8a355e3 100644 GIT binary patch literal 233902 zcmV)$K#spqO9KQH0000809q`5Q#`QT|6Bn80FeX$022TJ09!+EZggdCbYE0?aAk8{ zE_iKhwN%Sa0x=Zb^A%0EWTxoC7@fg|XyQU820!51xy&^5mA1V8-j+dRG#H4wYjd8r zH)(ORQj#ptd0})(&+-8!sJW?xu1oqlxz8>s@d0!N(r7H{8a*X9!(K62Tl6HVwJ&KC zg1utQ^9B|8+*s5RnHr}c#H*{B1wMls+4*2_!MM=@b;v^Upu-*^#R#V`mx0{2P;xIR zSStmG5WBI3uJY*CERCD_bdvCvN5Tlbs5QEDel!)ze#9ubTSc38sB~wCLxf7btgbtv zbpJv0wOM!KY&&i4P;NNB5!Ux3p_36&e@e)=@#CH_uMD57s7dzMR)R?D!!o!zcG6OM z8}=Oc?L>vYd~6I*L4bCwF}UyqD*7A_WY~KLP)h>@6aWAK2mo3v 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b/src/Select/SoundGeneratorSelect.m @@ -1,26 +1,26 @@ -%Written by Darell +%Written by Darell, edited by Arthur Lu % CONTRIBUTORS: % Person1: Darell +% Person2: Arthur Lu % DOCUMENTATION: %Pass-through function used by app function output = SoundGeneratorSelect(amplitude, frequency, phase, fs, duration, duty,number) - if(number == "Option 1") + if(number == "Sine") output = generate_sine(amplitude, frequency, phase, fs, duration, duty); - elseif(number == "Option 2") + elseif(number == "Square") output = generate_square(amplitude, frequency, phase, fs, duration, duty); - elseif(number == "Option 3") + elseif(number == "Triangle") output = generate_triangle(amplitude, frequency, phase, fs, duration, duty); - elseif(number == "Option 4") + elseif(number == "Sawtooth") output = generate_sawtooth(amplitude, frequency, phase, fs, duration, duty); - elseif(number == "Option 5") + elseif(number == "WhiteNoise") output = generate_white(amplitude, fs, duration); - elseif(number == "Option 6") + elseif(number == "HalfCircles") output = generate_halfCircles(amplitude, frequency, phase, fs, duration, duty); else output = 0; end -end - +end \ No newline at end of file From d664ce81b4c81693954a9a8b18d8a08c47e4b598 Mon Sep 17 00:00:00 2001 From: Arthur Lu Date: Thu, 9 Dec 2021 23:06:09 -0800 Subject: [PATCH 10/17] fix function name typo --- App/app.mlapp | Bin 233902 -> 233848 bytes src/Select/SoundGeneratorSelect.m | 2 +- 2 files changed, 1 insertion(+), 1 deletion(-) diff --git a/App/app.mlapp b/App/app.mlapp index e669fa68346cad2be3c84c539806d04ec8a355e3..8b404aff583ecc175d1732e3df5d68318d27e7ec 100644 GIT binary patch delta 54796 zcmV)EK)}DQqYn6@4zM)?3Gl`{8PwAN0F{$I10sLCbyU>d`}aGF0s<1E5)vZaDP5A% zC?P{B(#_B@#H}|-7qvrgEX8y+~4mx&+l35Ip>cvYq@ZSna}LFuJ`qN z@4Y_+C@V@o#vsOkKp>B0-b%cOKu{*ZKMVBx;1yQ<7)kI0&0a=95^WU=0}X}0)8i+2 zX1_2}w%@QaM}^ms1Q;Y^tb|GNi`LOdOx`lE{*F7xqT1CAPD;xpXj^^A-R zpP)e958uCkpPHJ=%F258?%mFGh01@bgy+pUEvYu|hnY&t+p}dHHPje728KX?|Bd+u 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100644 --- a/src/Select/SoundGeneratorSelect.m +++ b/src/Select/SoundGeneratorSelect.m @@ -18,7 +18,7 @@ function output = SoundGeneratorSelect(amplitude, frequency, phase, fs, duration output = generate_sawtooth(amplitude, frequency, phase, fs, duration, duty); elseif(number == "WhiteNoise") output = generate_white(amplitude, fs, duration); - elseif(number == "HalfCircles") + elseif(number == "HalfCircle") output = generate_halfCircles(amplitude, frequency, phase, fs, duration, duty); else output = 0; From ce28d8981f5f90e4414d57e7fec58e1bb22dde08 Mon Sep 17 00:00:00 2001 From: Arthur Lu Date: Fri, 10 Dec 2021 00:08:46 -0800 Subject: [PATCH 11/17] make invalid sound generator selection output 0s --- App/app.mlapp | Bin 233848 -> 233831 bytes src/Select/SoundGeneratorSelect.m | 2 +- 2 files changed, 1 insertion(+), 1 deletion(-) diff --git a/App/app.mlapp b/App/app.mlapp index 8b404aff583ecc175d1732e3df5d68318d27e7ec..bf14d4cd8cd191ec0216a1936d79e2d6700a6d1e 100644 GIT binary patch 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yVl)0Lk-^iF{$GHiZ$S7s6sQY?$Noo)4lWM^KB2_H{nsJk!~ON(Jvk2eApH-ljd0)q diff --git a/src/Select/SoundGeneratorSelect.m b/src/Select/SoundGeneratorSelect.m index 16f8891..f99f4f2 100644 --- a/src/Select/SoundGeneratorSelect.m +++ b/src/Select/SoundGeneratorSelect.m @@ -21,6 +21,6 @@ function output = SoundGeneratorSelect(amplitude, frequency, phase, fs, duration elseif(number == "HalfCircle") output = generate_halfCircles(amplitude, frequency, phase, fs, duration, duty); else - output = 0; + output = zeros(1, fs * duration); end end \ No newline at end of file From 0f08eaf844bf77c46ef882b9b283c93036dbe5b2 Mon Sep 17 00:00:00 2001 From: Arthur Lu Date: Fri, 10 Dec 2021 00:16:30 -0800 Subject: [PATCH 12/17] added culling to unused sound generation options --- App/app.mlapp | Bin 233831 -> 233464 bytes 1 file changed, 0 insertions(+), 0 deletions(-) diff --git a/App/app.mlapp b/App/app.mlapp index bf14d4cd8cd191ec0216a1936d79e2d6700a6d1e..25178fa551e7d706d6bfbd2ce45e6d762ecc7136 100644 GIT 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z3KKE2Y7KwP_XW2$G9P@@1WY{l(J;A%`K@4uiH!Ko;%?gi=BA72TY+_XmOL!wXo~3M7t!{yD4hfradsI}`zJWZy|3DJj zTV{$SuU@dPE1-`_io%b>O!AV7=m1im((%-{V#jO>owRW)+xFv9*z2~EF>JJJm7{cW z#*e`%+rvY$&Et~xbvnab=r?Xa64gXO$P+ca!;GbO3q20{-iv3CX0m9D&5nUsZPudB z-C9O6U9ajSEnHeK!Rh_h$g}GxL0$v zf0*qwVR3w}lKQU3sz}+f?M*Y0G0TaK%-TMdZj-<1+FU{yK3$u{vUSNC?G~gxtv!+3p7DcQjJl;bRA^ZW8(Q47f9X&-#_7+aIX)q*_LN?3wG3Dd+ zq9tWU{xTc$?J4?m>vmgx73Ity&@i3gbB<>GME)N(A~)s>8$r Date: Fri, 10 Dec 2021 01:50:47 -0800 Subject: [PATCH 13/17] created generate_trapezoid.m --- src/generate_trapezoid.m | 55 ++++++++++++++++++++++++++++++++++++++++ 1 file changed, 55 insertions(+) create mode 100644 src/generate_trapezoid.m diff --git a/src/generate_trapezoid.m b/src/generate_trapezoid.m new file mode 100644 index 0000000..69ce591 --- /dev/null +++ b/src/generate_trapezoid.m @@ -0,0 +1,55 @@ +function x = generate_trapezoid(amplitude, frequency, phase, fs, duration, duty) +% GENERATE_TRAPEZOID: returns a matrix of sampled square wave + +% CONTRIBUTORS: +% Daniel Doan: Author + +% DOCUMENTATION: +% phase shift is in number of periods +% fs is the sampling frequency: how many sample points per second +% duration is time in seconds +% duty cycle should be a number between 0 and 1. + % duty of 0.5 would have 2 trapezoids in first half of each cycle + % example of wave with duty of 0.5, where the peaks are amplitude/2: + % + % ____ + % / \ + % / \ ________________ + % \ / + % \____/ + % + + + +% initialize local variables from input arguments + n = fs * duration; % number of samples (length of matrix) + dt = 1 / fs; % sampling period: time between two sample points + + % initialize a one dimensional zero matrix to be populated + x = zeros(1, n); + + % populate the matrix + for i = 1:n + t = i * dt; + + % periodic ramp from 0 to 1 + % progression through a cycle + st = mod(frequency * t - phase, 1); + slope = (amplitude/2) / (duty/8); + if(st < duty) + if(st < duty/8 || st > 7*duty/8) + x(i) = slope * st; + else + if(st < 5*duty/8) + x(i) = amplitude/2 - slope * (st-(3*duty/8)); + end + if(st < 3*duty/8) + x(i) = amplitude/2; + end + if(st > 5*duty/8) + x(i) = -amplitude/2; + end + end + end + end +end \ No newline at end of file From 23fb666a57722d7993767baefbe93049c48d8e22 Mon Sep 17 00:00:00 2001 From: SeaSponge <61109988+Squidwarder@users.noreply.github.com> Date: Fri, 10 Dec 2021 08:59:33 -0800 Subject: [PATCH 14/17] fixed fade_in.m changed it so that it accepts instances of time where t < 1 and not a whole number --- src/NotWorking/fade_in.m | 13 ++++++++++++- 1 file changed, 12 insertions(+), 1 deletion(-) diff --git a/src/NotWorking/fade_in.m b/src/NotWorking/fade_in.m index 254d288..bebb07f 100644 --- a/src/NotWorking/fade_in.m +++ b/src/NotWorking/fade_in.m @@ -12,10 +12,21 @@ function output = fade_in(input, time) len = length(input); + % need to use whole number for time + time = round(time); + % if time parameter longer than signal, treat time as % the duration of original signal if time > len - time = len + time = len; + end + + % in order to create array, time >=1 + % if not, it's arbitrarily set to 1 + % in which case the fade_in effect + % is virtually nonexistent + if time < 1 + time = 1; end % set multiplier as 1D array From 48a6dfa8ad4ccf0be3e73ecf8ed2f8a02e3b2844 Mon Sep 17 00:00:00 2001 From: SeaSponge <61109988+Squidwarder@users.noreply.github.com> Date: Fri, 10 Dec 2021 09:07:09 -0800 Subject: [PATCH 15/17] Fixed fade_out.m and moved it to "Helper" folder Made it so that it now accepts instances of time where: t < 1 or t is not a whole number. Also moved it to the 'Helper' folder --- src/{NotWorking => Helper}/fade_out.m | 13 ++++++++++++- 1 file changed, 12 insertions(+), 1 deletion(-) rename src/{NotWorking => Helper}/fade_out.m (77%) diff --git a/src/NotWorking/fade_out.m b/src/Helper/fade_out.m similarity index 77% rename from src/NotWorking/fade_out.m rename to src/Helper/fade_out.m index f0821d3..954a1bb 100644 --- a/src/NotWorking/fade_out.m +++ b/src/Helper/fade_out.m @@ -11,18 +11,29 @@ function output = fade_out(input, time) len = length(input); + % need to use time as a whole number + time = round(time); + % if time parameter longer than signal, treat time as % the duration of original signal if time > len time = len end + % in order to create array, time >=1 + % if not, it's arbitrarily set to 1 + % in which case the fade_in effect + % is virtually nonexistent + if time < 1 + time = 1; + end + % set multiplier as 1D array multiplier = (1 : time) / time; % fade out effect: from full volume of signal to no volume - multiplier = flip(multiplier) + multiplier = flip(multiplier); while length(multiplier) < len multiplier = [multiplier 0]; From 2b073610e0796c1c9ba2a5f764e07da6729d731b Mon Sep 17 00:00:00 2001 From: SeaSponge <61109988+Squidwarder@users.noreply.github.com> Date: Fri, 10 Dec 2021 09:09:49 -0800 Subject: [PATCH 16/17] Fixed fade_in.m and moved it to "Helper" folder Made it so that it now accepts instances of time where: t < 1 or t is not a whole number. Also moved it to the 'Helper' folder --- src/{NotWorking => Helper}/fade_in.m | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename src/{NotWorking => Helper}/fade_in.m (100%) diff --git a/src/NotWorking/fade_in.m b/src/Helper/fade_in.m similarity index 100% rename from src/NotWorking/fade_in.m rename to src/Helper/fade_in.m From cf6f03cf90ae9a3e85bcfff4f45fa5054ac5e5ac Mon Sep 17 00:00:00 2001 From: Arthur Lu Date: Fri, 10 Dec 2021 13:49:07 -0800 Subject: [PATCH 17/17] removed cd'ing to src folder --- App/app.mlapp | Bin 233464 -> 233536 bytes 1 file changed, 0 insertions(+), 0 deletions(-) diff --git a/App/app.mlapp b/App/app.mlapp index 25178fa551e7d706d6bfbd2ce45e6d762ecc7136..2aea4c09e123b01b6aff17001a406d899c254913 100644 GIT binary patch delta 192034 zcmV)bK&ij@pANvF4!3EP0x<&!001EXv1^9oml(MMGZZ2c5+dCxU6Rr$AwwzB&CoH# ztu&WkxdJVJswl}k#vs9fKp>B0-$=fLKu{*ZKTGuc;1xFfSSj!W%|TXC3T+h&gMb~) 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