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𝟘𝟞·
logic I now have a somewhat general "pigeonhole solver" which, given a set of equations of the form x_i¬=x_j and for each x_i, one equation of the form x_i∈{c_j
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c_(j+1) c_(j+2) ... c_(j+k)}. This can directly be solved with a search, but I've been trying to avoid that in my pretense toward symbolic manipulation. In the end,
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I'm not sure my approach is all that different than a search - if I can write my approach up in a sensible form, I'll post a doc someplace and hope to learn more.
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𝟚𝟙·
coding I updated my color text routines that I use in all my Python tools to proceess faster when read into Emacs. One day, I may create an IDE for my ‘neo-retro’
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logic-puzzle computing environment, but Emacs is still the best tool for me.
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𝟚𝟚·
coding While I use Unicode extensively and appreciate its near universal adoption and support, I object to any description of it as a "character set". It is a partial
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encoding for semantically based typesetting of all human-readable text that includes representations for historic character sets. Ideally, a "character set" provides
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an abstract, finite set of symbols for computation and a visual representation that allows human beings to readily identify symbols in a sequence - a simple alphabet.
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If we remove codepoints that are control values (modifiers and typesetting indicators) and, for groups of characters which are (subjectively) visually similar,
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discard all but one, we are left with a workable character set. But it's a major bonus if human beings can naturally associate meaning with sequences to form a human
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readable language. This character set requires knowledge of every alphabet included in Unicode and fluency in at least one language that uses each alphabet. I encode
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formal languages and strings using my own (still evolving) ”Zy Logical Character Set" or "Zylch" (the "zy" is vestigial, but still makes for entertaining acronyms).
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It's a single byte encoding starting with the digits 0⋯9, followed by the 26 uppercase then 26 lowercase letters of English. Then a bunch of symbols that change from
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week to week...
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𝕔
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𝟚𝟚·
coding I'm using ‘⊙‘ for dot product and ‘⊗’ for cross product. My preprocessor translates these from binary operators into calls to ‘dot’ and ‘cross’, which are
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native in GLSL and implemented in Python to work on number sequences of equal length (dot) or only 3-tuples of numbers (cross).
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𝕓
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𝟚𝟛·
logic I've added support for the Cartesian Product, represented by ‘×’ in Unicode (U+D7). What I call “tuple constrained quantification” (∀⟨x y⟩∈Z×Z) is accepted in
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⟪Sapphire⟫ as well as set exponentiation by an integer (Z^4 ▷ Z×Z×Z×Z) ({1⋯3}^3 ▷ {1⋯3}×{1⋯3}×{1⋯3}). Finite expressions can be evaluated in calculator fashion (⟨1 2
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3⟩∈{1⋯3}^3 ▷ ✔) (∀⟨a b⟩∈{1⋯3}^2 a>3 ⇒ a+b>4 ▷ ✔) and can also be symbolically manipulated by ⟪Ag⟫, aka “The Silver Solver”. I've updated my Sudoku rules to use these
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new features
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𝟚𝟜·
I finally got around to watching Jordan Peele's documentary "Get Out" the other night. I have to say, the re-enactments were grisly, but well done.
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𝟚𝟝·
piward I finished implementing SDL ‘framebuffer’ objects which display a screen sized OpenGL texture. Framebuffer support is primarily for debugging, but also can be
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used with small ‘gadget’ displays, like Pimoroni's Display Hat Mini, ePaper displays, also available from Pimoroni or from Waveshare, which I used to prototype a
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Raspberry Pi based e-Reader.
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𝟚𝟞·
coding I took a small step toward sensible language handling by generating a full parse tree for a small input file. Starting life as a no-op, my evolving ‘zypp’
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preprocessor converts ⟪Midnight⟫ and ⟪Cobalt⟫ to Python and C, respectively, in an entirely ad-hoc fashion. At least I know I can create an inviting bug hotel.
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Eventually, each language layer I use will share a unified parser, but different intermediate code generators which will perform first level semantic checks. The
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intermiedate language will support high level primitives that can be lowered to target subsets which can be used to emit code. My ⟪Sapphire⟫ project has a good deal
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of infrastructure to cope with.
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𝟚𝟠·
coding More language infrastructure progress - I've got code generating from the ⟪Violet⟫ language layer that bridges between ⟪Cobalt⟫ (aka C) and ⟪Midnight⟫ (aka
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Python). I generate code that uses Python's ‘ctypes’ module to call C from Python, making it easy to mix and match implementations.