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PCM20210728_SICP_1.1.2_NamingAndTheEnvironment
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### A Pluto.jl notebook ###
# v0.20.0
using Markdown
using InteractiveUtils
# ╔═╡ bd3426de-3ec1-4be3-ba32-3c0e791fb810
begin
using Pluto
using Plots
using LaTeXStrings, Latexify
using GraphRecipes
#-----------------------------------------------------------------
println("pkgversion(Pluto) = ", pkgversion(Pluto))
println("pkgversion(Plots) = ", pkgversion(Plots))
println("pkgversion(LaTeXStrings) = ", pkgversion(LaTeXStrings))
println("pkgversion(Latexify) = ", pkgversion(Latexify))
println("pkgversion(GraphRecipes) = ", pkgversion(GraphRecipes))
end # begin
# ╔═╡ b02d45c2-b0de-11ef-14a2-fb2f9e073ad4
md"
===============================================================================
#### SICP: 1.1.2 Naming and the Environment
##### file: PCM20210728_SICP_1.1.2_NamingAndTheEnvironment
##### Julia/Pluto.jl-code (1.11.2/0.20.0) by PCM *** 2024/12/07 ***
===============================================================================
"
# ╔═╡ 38e17e66-6cce-4c0b-8140-730546037487
md"
##### 0. Introduction
"
# ╔═╡ 86cd2d69-4257-4922-9a6a-54106667c134
md"
---
##### 1. Topics
- *Naming*
- *Binding*
- Type *Irrational*
- *area*, *circumference* of *circle*
- *const* definition
- *static* type definition
- *type conversion*
- *SICP_pi*, Julia's π
- *isapprox*(.,., *atol*=.,...), ≈
- *Sys.WORD_SIZE*
"
# ╔═╡ 863bb809-01ca-4587-b529-13001b10a60f
md"
---
##### 2. Libraries
"
# ╔═╡ 07b4b914-382b-4875-a241-8dd6c7d2fbe5
md"
---
##### 3. SICP-Scheme-like *functional* Julia
###### *Definition* of Constant and *Binding*
*Binding* means *creation* of a singular name (= symbol) and binding (pointer) to a value. This binding is *constant* and cannot be changed. Otherwise we have a *mutation*. Pluto discourages mutations.
<name> ---> <value>
Fig. 1.2.1 Binding of name to a value
"
# ╔═╡ a3dea390-dbb8-4a9d-81ca-e74c11534d94
# SICP: (define size 2)
# Julia:
size = 2 # ==> size = 2
# ╔═╡ 2e9c726d-a876-4f5d-8b44-8143058a1c2d
typeof(size)
# ╔═╡ 0755d19b-145f-4801-888e-9cb90705b7f7
md"
###### *Evaluation* of Constant
"
# ╔═╡ e152ee7a-a974-4780-96b5-f052d07544a2
size # ==> size = 2
# ╔═╡ d7e5152b-af93-4ba0-b3e8-d8a5de6d2851
md"
###### Type Conversion
"
# ╔═╡ 244a6489-b42d-424f-84b9-b8d8a1fb7efd
size2::Float64 = 2; # ';' ==> suppression
# ╔═╡ 9cf1b219-f0f1-42e4-ba1b-32cf826b90f9
typeof(size2)
# ╔═╡ fe660cd2-77c4-4d84-9470-aa2929d50b06
size2 # ==> size = 2.0 --> :)
# ╔═╡ f35a5aaf-07dd-4e70-8ad1-9e52daa1d2ca
md"
###### Prefix Expressions = Function Calls
"
# ╔═╡ 39676655-4574-445b-80b9-67e27728491a
*(5, size)
# ╔═╡ 64ed9e7b-34f5-4c20-93f4-94dcade726d9
md"
###### Area of [*Circle*](https://en.wikipedia.org/wiki/Circle)
$\mathbb R \rightarrow \mathbb R$
$area:r \mapsto area(r)$
$area(r):=r^2\pi$
$\;$
"
# ╔═╡ 755a7e22-bcc3-423c-9e78-88ec186ecde7
begin
scatter((1.0, 1.0), markersize=100, xlims=(-4, +5), ylims=(-4, +5), size=(600,400), color=:cornflowerblue, alpha=0.5, label=false, title="Fig. 1.1.2.1 Visualization of Concept Circle")
scatter!((1.0, 1.0), markersize=3, label="center")
plot!([1.0, 2.7], color=:black)
annotate!(1.6, 1.6, L"r")
annotate!(1, 0.2, L"r^2\pi", 12)
annotate!(2.75, 0.9, L"2\pi r", 12)
end # begin
# ╔═╡ a20cfd0f-1aba-4e50-8da4-4841a2cc2171
SICP_pi = 3.14159
# ╔═╡ 6b5ebb36-5fbd-4f97-8c6e-3854966d2734
radius = 10
# ╔═╡ b3dd58fe-7ad6-4ca7-aa52-abb007581ff7
area = radius^2 * SICP_pi
# ╔═╡ f209c046-91f9-46d2-b177-3f8e7833d616
area
# ╔═╡ 4a69f7a5-20eb-4c96-be72-a9ee8dc55b91
md"
###### Circumference of [*Circle*](https://en.wikipedia.org/wiki/Circle)
$\mathbb R \rightarrow \mathbb R$
$area:r \mapsto area(r)$
$area(r):=2 \pi r$
$\;$
"
# ╔═╡ 06dd14e5-4359-4e60-a3bd-5f56ebf562ab
circumference = 2radius * SICP_pi
# ╔═╡ 53b16578-7b83-449e-818f-28fdeed2cdca
circumference
# ╔═╡ 47de3efd-ca3e-4ebc-a969-feef59eaecf5
md"
---
##### 4. Idiomatic Julia
"
# ╔═╡ 8414c5b4-2ebb-47ee-8ce7-cc7ce7f7c9a2
Sys.WORD_SIZE # word size
# ╔═╡ 1588999f-1e30-4c30-b78d-1243fd7805f5
const size3 = 5 # ==> size3 = 3
# ╔═╡ 8bc0cfa1-de21-4c7f-9d08-52ddf1b6cd40
typeof(size3)
# ╔═╡ b1e8a7f7-a23e-43d8-8b6f-07e65788b58f
size3
# ╔═╡ 9073dce8-b80b-4b33-9f08-6e0861b3ae1d
md"
###### Evaluation of RHS (= *Right* Hand Side) and *Static* Type Definition
"
# ╔═╡ c74abaac-9fc1-48ac-90b5-0f9027321167
size4::Int64 = 4.0 # evaluation of RHS ==> 4.0
# ╔═╡ 7cc7a5cf-423a-46a7-9349-aca87bb3a1de
typeof(size4)
# ╔═╡ 0ae2571e-0fbf-45f2-b32b-72a664b0e0d6
md"
###### Type Conversion and Evaluation of LHS (= *Left* Hand Side)
"
# ╔═╡ c446de7d-12a5-462c-ac1e-7361e7effcc0
size4 # evaluation of LHS ==> 4
# ╔═╡ 2350ab87-8ca6-49af-a5bb-f994af4ecbd0
md"
###### Julia's $\pi$
"
# ╔═╡ 8ef8ad7e-b217-41c3-ba9a-d10e77cc207c
pi # Julia's constant π
# ╔═╡ 46464efb-fce0-444a-ad76-d1b5b0756a86
pi == π
# ╔═╡ 0db30c16-7a78-453a-9854-598d443d95d5
typeof(π) # irrational !
# ╔═╡ d26d6f40-9a72-456d-b165-b7fe171b8ee4
typeof(SICP_pi) # Float64
# ╔═╡ 18c5bc9a-7b9d-485e-b2e3-5c3e2284cc9c
typejoin(Irrational, Float64, Int64)
# ╔═╡ 2aead6d4-3356-468f-ab65-9b769bb06727
function makeMyTypeTreeReal()
g = [
0 0 0 0; # Real ->
1 0 0 0; # Int64 -> Real
1 0 0 0; # Float64 -> Real
1 0 0 0] # Irrational -> Real
names = [" Real ", " Int64 ", " Float64 ", "Irrational"]
edgelabels = Dict{Tuple, String}((2, 1) => "supertype", (3, 1) => "supertype", (4, 1) => "supertype")
graphplot(g, x=[0, -2, 0, +2], y = [2, 0, 0, 0], edgelabel=edgelabels, nodeshape=:rect, nodecolor=:aqua, names=names, lw=2, nodesize=0.3, fontsize=8, title="Fig. 1.1.2.1 Excerpt of Type Tree: Real", titlefontsize=12)
end # function typeTree
# ╔═╡ 2d58e12d-cc1c-44b9-a5d5-826b9996817b
makeMyTypeTreeReal()
# ╔═╡ 956ac76d-2839-4098-b753-9361538dcabd
SICP_pi == π
# ╔═╡ 6523fff4-2256-4be7-ad4c-4f21f106b580
SICP_pi ≈ π
# ╔═╡ 2957575f-7f9c-4897-81ee-15497c9523b7
abs(SICP_pi - π)
# ╔═╡ dc8703bf-5d2d-4d86-b09d-9cb42c2acc92
isapprox(SICP_pi, π, atol = 1.0e-5) # ==> true
# ╔═╡ b2c3cdeb-18ce-449f-ab8d-ecbba8f756b4
isapprox(SICP_pi, π, atol = 1.0e-6) # ==> false
# ╔═╡ 6f047dc0-5948-4b16-a842-d176f12a04e2
md"
---
##### 5. Summary
"
# ╔═╡ cbf42d36-89d7-44b1-849a-65667a05ef00
md"
---
##### 6. References
- **Abelson, H., Sussman, G.J. & Sussman, J.**; [*Structure and Interpretation of Computer Programs*](https://web.mit.edu/6.001/6.037/sicp.pdf), Cambridge, Mass.: MIT Press, (2/e), 1996; last visit 2024/12/05
- **Wikipedia**; [*Circle*](https://en.wikipedia.org/wiki/Circle); last visit 2024/12/06
"
# ╔═╡ 77710ec2-0c4e-47d5-b37d-d342b7a4d13f
md"
===================================================================================
This is a **draft** under the Attribution-NonCommercial-ShareAlike 4.0 International **(CC BY-NC-SA 4.0)** license. Comments, suggestions for improvement and bug reports are welcome: **claus.moebus(@)uol.de**
===================================================================================
"
# ╔═╡ 00000000-0000-0000-0000-000000000001
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Latexify = "23fbe1c1-3f47-55db-b15f-69d7ec21a316"
Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
Pluto = "c3e4b0f8-55cb-11ea-2926-15256bba5781"
[compat]
GraphRecipes = "~0.5.13"
LaTeXStrings = "~1.4.0"
Latexify = "~0.16.5"
Plots = "~1.40.8"
Pluto = "~0.20.0"
"""
# ╔═╡ 00000000-0000-0000-0000-000000000002
PLUTO_MANIFEST_TOML_CONTENTS = """
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