From f25252dda165cd2fb57a745bcb17df03d5b590f3 Mon Sep 17 00:00:00 2001
From: Permondes <machen@permondes.de>
Date: Wed, 24 Jan 2024 19:38:55 +0100
Subject: [PATCH] Mass on Sphere, open amplifier, division

Moved scripts to sub-directory AESL
Technical: added open amplifier, division
Applications: ccc
---
 .../Charge in em field.AESL                   |   2 +-
 .../Damped Harmonic Osciallator scaled.AESL   |   2 +-
 .../Damped Harmonic Oscillator.AESL           |   2 +-
 AESL/MassOnSphere.AESL                        |  58 ++++++++++++++++++
 .../Radioactive Decay.AESL                    |   2 +-
 Analog Engine Example Applications.odt        | Bin 5629288 -> 4919254 bytes
 Analog Engine Technical Topics.odt            | Bin 67416 -> 70280 bytes
 7 files changed, 62 insertions(+), 4 deletions(-)
 rename Charge in em field.AESL => AESL/Charge in em field.AESL (96%)
 rename Damped Harmonic Osciallator scaled.AESL => AESL/Damped Harmonic Osciallator scaled.AESL (98%)
 rename Damped Harmonic Oscillator.AESL => AESL/Damped Harmonic Oscillator.AESL (98%)
 create mode 100644 AESL/MassOnSphere.AESL
 rename Radioactive Decay.AESL => AESL/Radioactive Decay.AESL (95%)

diff --git a/Charge in em field.AESL b/AESL/Charge in em field.AESL
similarity index 96%
rename from Charge in em field.AESL
rename to AESL/Charge in em field.AESL
index 47d2847..0ca5f07 100644
--- a/Charge in em field.AESL	
+++ b/AESL/Charge in em field.AESL	
@@ -8,7 +8,7 @@ COMMENT good start settings are omega=0,92, a*omega^2=0,05
 
 ENVIRONMENT DIVISION
 ENGINE Anabrid-THAT
-TIMEBASE 1ms
+TIMEBASE 1ms # corresponds to 1s
 REQUIRES INTEGRATOR 4
 REQUIRES INVERTER 1
 REQUIRES COEFFICIENT 3
diff --git a/Damped Harmonic Osciallator scaled.AESL b/AESL/Damped Harmonic Osciallator scaled.AESL
similarity index 98%
rename from Damped Harmonic Osciallator scaled.AESL
rename to AESL/Damped Harmonic Osciallator scaled.AESL
index cc766f2..06a7a9e 100644
--- a/Damped Harmonic Osciallator scaled.AESL	
+++ b/AESL/Damped Harmonic Osciallator scaled.AESL	
@@ -10,7 +10,7 @@ REQUIRES INVERTER 1
 REQUIRES SUMMER 2
 
 DATA DIVISION
-OUTPUT OUT.U y
+OUTPUT OUTPUT.U y
 ALIAS COEFFICIENT.1 InitialPosition
 ALIAS COEFFICIENT.2 InitialSpeed
 ALIAS COEFFICIENT.3 SpringForce
diff --git a/Damped Harmonic Oscillator.AESL b/AESL/Damped Harmonic Oscillator.AESL
similarity index 98%
rename from Damped Harmonic Oscillator.AESL
rename to AESL/Damped Harmonic Oscillator.AESL
index 5dbe333..12a995e 100644
--- a/Damped Harmonic Oscillator.AESL	
+++ b/AESL/Damped Harmonic Oscillator.AESL	
@@ -9,7 +9,7 @@ REQUIRES INVERTER 1
 REQUIRES SUMMER 2
 
 DATA DIVISION
-OUTPUT OUT.U y
+OUTPUT OUTPUT.U y
 ALIAS COEFFICIENT.1 InitialPosition
 ALIAS COEFFICIENT.2 InitialSpeed
 ALIAS COEFFICIENT.3 SpringForce
diff --git a/AESL/MassOnSphere.AESL b/AESL/MassOnSphere.AESL
new file mode 100644
index 0000000..74f2c51
--- /dev/null
+++ b/AESL/MassOnSphere.AESL
@@ -0,0 +1,58 @@
+IDENTIFICATION DIVISION
+PROGRAM-ID MassOnSphere
+VERSION 20240124
+COMMENT A mass m rests at the apex on a fixed sphere with radius a.
+COMMENT With a slight displacement, it slides down the sphere without friction
+COMMENT x'' = C1*x*y - C3*x
+COMMENT y'' = C2*y*y - C4*y - g
+COMMENT Scaling: measuring distances in dm (10¹ m)
+COMMENT Initial condition: slightly off the top of the sphere to get the mass rolling.
+COMMENT    Note: x0 is a function of y0 with x0² + y0² = a²
+COMMENT    Note: ICs have to be negative as the integrator is inverting
+
+ENVIRONMENT DIVISION
+ENGINE Anabrid-THAT
+TIMEBASE 1ms
+REQUIRES COEFFICIENT 7
+REQUIRES INTEGRATOR 4
+REQUIRES MULTIPLIER 2
+REQUIRES INVERTER 4
+REQUIRES SUMMER 2
+
+DATA DIVISION
+OUTPUT OUTPUT.X x
+OUTPUT OUTPUT.Y y
+# Example values based on a=1
+COEFFICIENT.1 3g/a² for xy e.g. 2,943
+COEFFICIENT.2 3g/a² for y² 
+COEFFICIENT.3 2g/a  for x  e.g. 1,962
+COEFFICIENT.4 2g/a  for y
+COEFFICIENT.5 g            e.g. 0,981
+COEFFICIENT.6 a initial condition y e.g. 0,957
+COEFFICIENT.7 0 initial condition x, slightly above 0 to start motion, e.g. 0,290
+
+PROGRAM DIVISION
+-1 -> COEFFICIENT.5 -> -g
+-1 -> COEFFICIENT.6 -> -y0
+-1 -> COEFFICIENT.7 -> -x0
+
+x'' -> INTEGRATOR.1 -> -x'
+-x', IC:-x0 -> INTEGRATOR.2 -> x
+y'' -> INTEGRATOR.3 -> -y'
+-y', IC:-y0 -> INTEGRATOR.4 -> y
+x,y -> MULTIPLIER.1 -> x*y
+y,y -> MULTIPLIER.2 -> y^2
+x*y -> COEFFICIENT.1 -> 3g/a²*x*y/10
+y^2 -> COEFFICIENT.2 -> 3g/a²*y^2/10
+x -> COEFFICIENT.3 -> 2g/a*x/10
+y -> COEFFICIENT.4 -> 2g/a*y/10
+2g/a*x/10 -> INVERTER.1 -> -2g/a*x/10
+2g/a*y/10 -> INVERTER.2 -> -2g/a*y/10
+10:3g/a²*x*y/10, 10:-2g/a*x/10 -> SUMMER.1 -> -x''
+-x'' -> INVERTER.3 -> x''
+10:3g/a²*y^2/10, 10:-2g/a*y/10, 1:-g -> SUMMER.2 -> -y''
+-y'' -> INVERTER.4 -> y''
+
+OPERATION DIVISION
+MODE REPEAT
+OP-TIME 0,024 # after that, the mass would jump off the sphere, which is not included in this model
diff --git a/Radioactive Decay.AESL b/AESL/Radioactive Decay.AESL
similarity index 95%
rename from Radioactive Decay.AESL
rename to AESL/Radioactive Decay.AESL
index 34b3acf..e225eef 100644
--- a/Radioactive Decay.AESL	
+++ b/AESL/Radioactive Decay.AESL	
@@ -8,7 +8,7 @@ REQUIRES Integrator 1
 REQUIRES Inverter 1
 
 DATA DIVISION
-OUTPUT OUT.X N
+OUTPUT OUTPUT.X N
 ALIAS COEFFICIENT.1 InitialValue
 ALIAS COEFFICIENT.2 Decay 
 
diff --git a/Analog Engine Example Applications.odt b/Analog Engine Example Applications.odt
index 226f3e4a8f9c10d169668425b84d643a4407a9a5..17fca23b19763cdd52e7a52b0f5378bdf48fc5bc 100644
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diff --git a/Analog Engine Technical Topics.odt b/Analog Engine Technical Topics.odt
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-- 
2.39.5