Category Archives: Mathematics

The “asymptote of despair”

Quote

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“if we plot progress versus time it should be pretty much linear.  We are currently right about here  approaching the danger zone between works and done and those two things are not the same we have to be very careful not to get sidetracked at The Works
boundary and end up over here on the Asymptote of Despair where time goes to
infinity and we never quite finish our project”

python: maps Reaper DAW mixer volume and mute and solo to GPIO

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import pythoncom
import reapy
import RPi.GPIO as GPIO

# Set up the GPIO pins
GPIO.setmode(GPIO.BCM)
GPIO.setup(17, GPIO.OUT) # Volume pin
GPIO.setup(27, GPIO.OUT) # Mute pin
GPIO.setup(22, GPIO.OUT) # Solo pin

def set_track_volume(track, volume):
track.volume = volume
if volume > 0.5:
GPIO.output(17, GPIO.HIGH)
else:
GPIO.output(17, GPIO.LOW)

def set_track_mute(track, mute):
track.mute = mute
if mute:
GPIO.output(27, GPIO.HIGH)
else:
GPIO.output(27, GPIO.LOW)

def set_track_solo(track, solo):
track.solo = solo
if solo:
GPIO.output(22, GPIO.HIGH)
else:
GPIO.output(22, GPIO.LOW)

# Create a function to map Reaper tracks to GPIO pins
def map_track(track):
# Connect to Reaper
reapy.connect()
# Get the track from Reaper
track = reapy.Track(track)
# Set the track’s volume, mute, and solo status
set_track_volume(track, track.volume)
set_track_mute(track, track.mute)
set_track_solo(track, track.solo)
# Disconnect from Reaper
reapy.disconnect()

# Map Reaper track 1 to GPIO pins
map_track(1)

# Clean up the GPIO pins
GPIO.cleanup()

Python OSC device – Motarized fader for volume + mute switch and solo switch

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import reapy
import OSC

# Create an OSC client to send messages to Reaper
client = OSC.OSCClient()
client.connect(("127.0.0.1", 8000))

# Create an OSC server to receive messages from the fader and switches
server = OSC.OSCServer(("127.0.0.1", 9000))

def handle_volume(path, tags, args, source):
volume = args[0]
# Set the volume of the track using the Reaper API
reapy.connect()
track = reapy.Track(1)
track.volume = volume
reapy.disconnect()

# Add a callback for the volume fader
server.addMsgHandler("/volume", handle_volume)

def handle_mute(path, tags, args, source):
mute = args[0]
# Set the mute of the track using the Reaper API
reapy.connect()
track = reapy.Track(1)
track.mute = mute
reapy.disconnect()

# Add a callback for the mute switch
server.addMsgHandler("/mute", handle_mute)

def handle_solo(path, tags, args, source):
solo = args[0]
# Set the solo of the track using the Reaper API
reapy.connect()
track = reapy.Track(1)
track.solo = solo
reapy.disconnect()

# Add a callback for the solo switch
server.addMsgHandler("/solo", handle_solo)

# Run the OSC server
st = threading.Thread(target=server.serve_forever)
st.start()

Arduino Project – Digitally Controlled Analog Surround Sound Panning – Open Source

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For your enjoyment:

Digitally Controlled Analog Surround Sound Panning

 

Presentation:

 

Circuit Explination:

 

Presentation documents:

0 – TPJ – Technical Presentation

0 – TPJ556-FINAL report DCASSP-COMPLETE

0 – TPJ556-FINAL report DCASSP-SCHEMATICS V1

 

 

Project Source Code:

Continue reading →

Generating Code with spreadsheet for Keyboard Assignments of CADSOFT Eagle

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I needed a way of Generating Code, lots of code.   In cadsoft eagle, the Keyboard Assignments are completely user customizable.  They have a script language that allows you to modify the software.  I’ve used hundreds of the ULP and SCRs and decided to write my own Generator.

Necessity is the mother of all innovation.  Screen Shot 2015-09-14 at 12.56.34 AM Screen Shot 2015-09-14 at 12.56.45 AM Screen Shot 2015-09-14 at 12.56.52 AM Screen Shot 2015-09-14 at 12.56.59 AM Screen Shot 2015-09-14 at 12.57.04 AM Screen Shot 2015-09-14 at 12.58.37 AM Screen Shot 2015-09-14 at 12.58.44 AM Screen Shot 2015-09-14 at 12.58.50 AM

 

On Compressing the English Language

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Someone picked my brain the other day looking for a technique to compress language files.

After walking away to think about it… my method was to re-order the ASCII code to the letters by their frequency and the most common words by their frequency.

Where lowercase e is stored as an ASCII value using 1 byte
ASCII  e = 0x61 = 0b1100001 = 7 bits
vs
APK e = 0x1 = 1 bit

… this method stores an E in 1 bit.  This is similar to the Huffman Code with the addition of whole words being included in the code.

For example:

“because” is the 94th most used word in the english language and in this method is stored in 7 bits.

I don’t know if this has been done before… but I would imagine it could compress Language files substantially.

I have thought about a third addition of using the most used 2 or three letter combinations commonly used.

APK ORDER APK LET FREQ WORD FEQ APK BIN APK HEX APK BITS USED
0 space 0 0 1
1 e 12.70% 1 1 1
2 t 9.06% 10 2 2
3 a 8.17% 11 3 2
4 o 7.51% 100 4 3
5 i 6.97% 101 5 3
6 n 6.75% 110 6 3
7 s 6.33% 111 7 3
8 h 6.09% 1000 8 4
9 r 5.99% 1001 9 4
10 d 4.25% 1010 A 4
11 l 4.03% 1011 B 4
12 c 2.78% 1100 C 4
13 u 2.76% 1101 D 4
14 m 2.41% 1110 E 4
15 w 2.36% 1111 F 4
16 f 2.23% 10000 10 5
17 g 2.02% 10001 11 5
18 y 1.97% 10010 12 5
19 p 1.93% 10011 13 5
20 b 1.49% 10100 14 5
21 v 0.98% 10101 15 5
22 k 0.77% 10110 16 5
23 j 0.15% 10111 17 5
24 x 0.15% 11000 18 5
25 q 0.10% 11001 19 5
26 z 0.07% 11010 1A 5
27 the 1 11011 1B 5
28 be 2 11100 1C 5
29 to 3 11101 1D 5
30 of 4 11110 1E 5
31 and 5 11111 1F 5
32 a 6 100000 20 6
33 in 7 100001 21 6
34 that 8 100010 22 6
35 have 9 100011 23 6
36 I 10 100100 24 6
37 it 11 100101 25 6
38 for 12 100110 26 6
39 not 13 100111 27 6
40 on 14 101000 28 6
41 with 15 101001 29 6
42 he 16 101010 2A 6
43 as 17 101011 2B 6
44 you 18 101100 2C 6
45 do 19 101101 2D 6
46 at 20 101110 2E 6
47 this 21 101111 2F 6
48 but 22 110000 30 6
49 his 23 110001 31 6
50 by 24 110010 32 6
51 from 25 110011 33 6
52 they 26 110100 34 6
53 we 27 110101 35 6
54 say 28 110110 36 6
55 her 29 110111 37 6
56 she 30 111000 38 6
57 or 31 111001 39 6
58 an 32 111010 3A 6
59 will 33 111011 3B 6
60 my 34 111100 3C 6
61 one 35 111101 3D 6
62 all 36 111110 3E 6
63 would 37 111111 3F 6
64 there 38 1000000 40 7
65 their 39 1000001 41 7
66 what 40 1000010 42 7
67 so 41 1000011 43 7
68 up 42 1000100 44 7
69 out 43 1000101 45 7
70 if 44 1000110 46 7
71 about 45 1000111 47 7
72 who 46 1001000 48 7
73 get 47 1001001 49 7
74 which 48 1001010 4A 7
75 go 49 1001011 4B 7
76 me 50 1001100 4C 7
77 when 51 1001101 4D 7
78 make 52 1001110 4E 7
79 can 53 1001111 4F 7
80 like 54 1010000 50 7
81 time 55 1010001 51 7
82 no 56 1010010 52 7
83 just 57 1010011 53 7
84 him 58 1010100 54 7
85 know 59 1010101 55 7
86 take 60 1010110 56 7
87 people 61 1010111 57 7
88 into 62 1011000 58 7
89 year 63 1011001 59 7
90 your 64 1011010 5A 7
91 good 65 1011011 5B 7
92 some 66 1011100 5C 7
93 could 67 1011101 5D 7
94 them 68 1011110 5E 7
95 see 69 1011111 5F 7
96 other 70 1100000 60 7
97 than 71 1100001 61 7
98 then 72 1100010 62 7
99 now 73 1100011 63 7
100 look 74 1100100 64 7
101 only 75 1100101 65 7
102 come 76 1100110 66 7
103 its 77 1100111 67 7
104 over 78 1101000 68 7
105 think 79 1101001 69 7
106 also 80 1101010 6A 7
107 back 81 1101011 6B 7
108 after 82 1101100 6C 7
109 use 83 1101101 6D 7
110 two 84 1101110 6E 7
111 how 85 1101111 6F 7
112 our 86 1110000 70 7
113 work 87 1110001 71 7
114 first 88 1110010 72 7
115 well 89 1110011 73 7
116 way 90 1110100 74 7
117 even 91 1110101 75 7
118 new 92 1110110 76 7
119 want 93 1110111 77 7
120 because 94 1111000 78 7
121 any 95 1111001 79 7
122 these 96 1111010 7A 7
123 give 97 1111011 7B 7
124 day 98 1111100 7C 7
125 most 99 1111101 7D 7
126 use 100 1111110 7E 7

GREEN HOME MONITORING SYSTEM

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Title: GREEN HOME MONITORING SYSTEM – TRANSMITTER
Author: ANTHONY P KUZUB
DATE: 2015 04 01
Description:

REMOTE MONITORING TRANSMITTER

The GREEN HOME MONITORING SYSTEM controls, monitors then transmits the
status of three room lights to a remote monitoring station.

The code below is the local control and transmitter

Three light switches along with motion sensors control the functionality
of the rooms lights.

When the system is enabled:
The light turns on When motion is detected.
Once motion is detected a five second counter Starts.
If motion is not detected within the five seconds The light shut
off saving power.

When the system is disabled:
The light switch controls The light Directly.

A Peak Power cost value is captured based on the time of day.
To Test this feature: apply a slowly 10mHz Sine wave 1.25
Vpp with offset of 0.625V offset to TP7

This moving sine wave is converted to digital by means of A/D convertor

This power cost value is displayed on the segment display
Indicating the value of power throughout the day.

The Status of The System state, switch position, motion detection, Light
status, and Energy cost, are transmitted to a remote monitoring station
via serial port 1.

 

0 - main 1- ZeroVariables 2 - DefineHardware 3 - SystemEnableCheck 4 - Power Sample 5 - Room 1 Check 6 - Room 2 Check 7 - Room 3 Check 8 - EncodeTransmissionData 9 - Transmit 10 - Diagnostics

 

 

TRANSMIT TRUTH TABLE

 

Title: GREEN HOME MONITORING SYSTEM – RECEIVER
Author: ANTHONY P KUZUB
DATE: 2015 04 01
Description:

The GREEN HOME MONITORING SYSTEM controls, monitors then transmits the
status of three room lights to a remote monitoring station.

The code below is the remote monitoring station

This program receives 2 bytes of data from the transmitter through
Serial port 1. The data is decoded and displayed on a screen by access
of serial port 2 of the controller.

A workstations TERMINAL session connects a a com port to the hardware receiver.

SESSION CONFIGURATION:
BAUD RATE: 9600
DATA BITS: 8
PARITY: NONE
FLOW CONTROL: NONE
EMULATION: ANSI

The Status of the system, switch positions, motion detection, Light status,
and Energy PEAK VALUE displayed on the terminal screen.

Screen Layout

A Changing Peak Power cost is applied proportionaly to room cost acumulators.

By Pressing the respective key on the terminal keyboard, the rooms cost will
reset to zero.

Please note that with the exception of the push buttons all states are
ACTIVE HIGH

 

0 - main 1 - ZeroVariable 2 - Initialize Devices 3 - Paint Screen 4 - Receive 5 - DecodeReceivedData 6 - KeyboardCheck 7 - ScreenUpdateStatus 8 - ScreenUpdateLight 9 - ScreenUpdateCost 10 - scr_writech 11 - KeyPress 12 - Diagnostics

 

SUCCESSIVE APPROXIMATION ADC CALCULATOR

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Was working on my Micro controller reading and had a need for a calculator to check my work for Successive Approximation of Analog to Digital signals.

WIKIPEDIA:  A successive approximation ADC is a type of analog-to-digital converter that converts a continuous analog waveform into a discrete digital representation via a binary search through all possible quantization levels before finally converging upon a digital output for each conversion.


Screen Shot 2015-03-02 at 5.09.50 PM

Screen Shot 2015-03-02 at 5.21.55 PM


Screen Shot 2015-03-02 at 5.10.01 PM
Here is a Link to the excel calculator for your enjoyment

Music Note Frequency Calculator With Cent Adjustment

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A colleague posed a very interesting question:
“I am looking for any music/music math wizard help me figure this out. If I am moving the pitch of a song up by 50 cents (a quarter step?) What frequency is A instead of 440?”

Sounded like the kind of math challenge I like:

Screen Shot 2015-02-06 at 8.59.14 AM

Screen Shot 2015-02-06 at 8.59.29 AM

The answer is 452.893Hz
Screen Shot 2015-02-06 at 8.59.38 AM

 

 


To test and confirm that it’s calculating properly, this is up 100 cents making G# 440
Screen Shot 2015-02-06 at 8.48.14 AMThis is down 100 cents making A# 440
 Screen Shot 2015-02-06 at 8.48.29 AM

Here is a link to the excel file