Small improvements
This commit is contained in:
parent
d648153156
commit
776ec811aa
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@ -320,5 +320,4 @@ Multiply a matrix on a column-vector.
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@section[#:tag "matrix comprehensions"]{Comprehensions}
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@section{Binary Operators}
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@ -1,7 +1,7 @@
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#reader(lib"read.ss""wxme")WXME0108 ##
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#|
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This file uses the GRacket editor format.
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Open this file in DrRacket version 5.3.0.6 or later to read it.
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Open this file in DrRacket version 5.3.0.11 or later to read it.
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Most likely, it was created by saving a program in DrRacket,
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and it probably contains a program with non-text elements
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@ -28,19 +28,19 @@
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(
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#"((lib \"image-core.ss\" \"mrlib\") (lib \"image-core-wxme.rkt\" \"mr"
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#"lib\"))\0"
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) 1 0 33 #"(lib \"bullet-snip.ss\" \"browser\")\0"
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0 0 88
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) 1 0 29 #"drscheme:bindings-snipclass%\0"
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1 0 88
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(
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#"((lib \"pict-snip.rkt\" \"drracket\" \"private\") (lib \"pict-snip.r"
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#"kt\" \"drracket\" \"private\"))\0"
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) 0 0 29 #"drscheme:bindings-snipclass%\0"
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1 0 25 #"(lib \"matrix.ss\" \"htdp\")\0"
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) 0 0 33 #"(lib \"bullet-snip.ss\" \"browser\")\0"
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0 0 25 #"(lib \"matrix.ss\" \"htdp\")\0"
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1 0 22 #"drscheme:lambda-snip%\0"
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1 0 57
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#"(lib \"hrule-snip.rkt\" \"macro-debugger\" \"syntax-browser\")\0"
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1 0 45 #"(lib \"image-snipr.ss\" \"slideshow\" \"private\")\0"
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1 0 26 #"drscheme:pict-value-snip%\0"
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0 0 38 #"(lib \"pict-snipclass.ss\" \"slideshow\")\0"
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0 0 45 #"(lib \"image-snipr.ss\" \"slideshow\" \"private\")\0"
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1 0 38 #"(lib \"pict-snipclass.ss\" \"slideshow\")\0"
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2 0 55 #"(lib \"vertical-separator-snip.ss\" \"stepper\" \"private\")\0"
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1 0 18 #"drscheme:xml-snip\0"
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1 0 31 #"(lib \"xml-snipclass.ss\" \"xml\")\0"
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@ -50,7 +50,7 @@
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1 0 32 #"(lib \"text-snipclass.ss\" \"xml\")\0"
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1 0 15 #"test-case-box%\0"
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2 0 1 6 #"wxloc\0"
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0 0 61 0 1 #"\0"
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0 0 63 0 1 #"\0"
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0 75 1 #"\0"
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0 12 90 -1 90 -1 3 -1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 255 255 255 1 -1 0 9
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#"Standard\0"
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@ -196,41 +196,47 @@
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1 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 0 0 0 1 1 1 176 48 96 0 0 0 -1 -1 2 38
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#"plt:module-language:test-coverage-off\0"
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0 -1 1 #"\0"
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1 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 0 0 0 1 1 1 176 48 96 0 0 0 -1 -1 0 1
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1 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 0 0 0 1 1 1 176 48 96 0 0 0 -1 -1 4 1
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#"\0"
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0 75 12 #"Courier New\0"
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0.0 16 90 -1 90 -1 3 -1 0 1 0 1 0 0 0.0 0.0 0.0 0.0 0.0 0.0 0 0 0 255
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255 255 1 -1 4 1 #"\0"
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0 71 1 #"\0"
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1.0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 1.0 1.0 1.0 1.0 1.0 1.0 0 0 0 0 0 0
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-1 -1 4 1 #"\0"
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0 -1 1 #"\0"
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1.0 0 -1 -1 -1 -1 -1 -1 1 0 0 0 0 0 0.0 0.0 0.0 1.0 1.0 1.0 0 0 255 0 0
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0 -1 -1 4 1 #"\0"
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1.0 0 -1 -1 -1 -1 -1 -1 1 0 0 0 0 0 0 0 0 1.0 1.0 1.0 0 0 255 0 0 0 -1
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-1 4 1 #"\0"
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0 71 1 #"\0"
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1.0 0 -1 -1 -1 -1 -1 -1 1 0 0 0 0 0 0.0 0.0 0.0 1.0 1.0 1.0 0 0 255 0 0
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0 -1 -1 4 1 #"\0"
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1.0 0 -1 -1 -1 -1 -1 -1 1 0 0 0 0 0 0 0 0 1.0 1.0 1.0 0 0 255 0 0 0 -1
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-1 4 1 #"\0"
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0 71 1 #"\0"
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1.0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 0.0 0.0 0.0 1.0 1.0 1.0 0 100 0 0 0
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0 -1 -1 2 1 #"\0"
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1.0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 0 0 0 1.0 1.0 1.0 0 100 0 0 0 0 -1
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-1 4 1 #"\0"
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0 -1 1 #"\0"
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1.0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 0.0 0.0 0.0 1.0 1.0 1.0 200 0 0 0 0
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0 -1 -1 4 1 #"\0"
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1.0 0 92 -1 -1 -1 -1 -1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 255 255 0 -1 -1 0
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1 #"\0"
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0 -1 1 #"\0"
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1.0 0 92 -1 -1 -1 -1 -1 0 0 0 0 0 1 0.0 0.0 0.0 0.0 0.0 0.0 0 0 0 255
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255 0 -1 -1 0 1 #"\0"
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0 -1 1 #"\0"
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0.0 13 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 1.0 1.0 1.0 1.0 1.0 1.0 0 0 0 0 0 0
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0 13 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 1.0 1.0 1.0 1.0 1.0 1.0 0 0 0 0 0 0
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-1 -1 2 1 #"\0"
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0 -1 1 #"\0"
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0.0 13 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 1.0 1.0 1.0 1.0 1.0 1.0 0 0 0 0 0 0
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-1 -1 47 1 #"\0"
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0 13 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 1.0 1.0 1.0 1.0 1.0 1.0 0 0 0 0 0 0
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-1 -1 2 1 #"\0"
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0 -1 1 #"\0"
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1 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 0 0 0 1 1 1 200 0 0 0 0 0 -1 -1 0 1
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#"\0"
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0 75 12 #"Courier New\0"
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0.0 16 90 -1 90 -1 3 -1 0 1 0 1 0 0 0.0 0.0 0.0 0.0 0.0 0.0 0 0 0 255
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255 255 1 -1 47 1 #"\0"
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0 -1 1 #"\0"
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1.0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 1 0 0.0 0.0 0.0 0.0 0.0 0.0 0 0 0 255
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255 255 -1 -1 49 1 #"\0"
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0 -1 1 #"\0"
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1.0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 1 0 0.0 0.0 0.0 0.0 0.0 0.0 0 0 0 255
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255 255 -1 -1 0 4369 0 26 3 12 #"#lang racket"
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255 255 -1 -1 2 1 #"\0"
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0 71 1 #"\0"
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1.0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 1.0 1.0 1.0 1.0 1.0 1.0 0 0 0 0 0 0
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-1 -1 2 1 #"\0"
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0 71 1 #"\0"
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1.0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 0 0 0 1.0 1.0 1.0 0 100 0 0 0 0 -1
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-1 0 4352 0 26 3 12 #"#lang racket"
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0 0 22 29 1 #"\n"
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0 0 22 3 1 #"("
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0 0 14 3 7 #"require"
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@ -267,6 +273,9 @@
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0 0 22 29 1 #"\n"
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0 0 22 3 9 #" "
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0 0 14 3 13 #"current-frame"
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0 0 22 29 1 #"\n"
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0 0 22 3 9 #" "
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0 0 14 3 10 #"find-color"
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0 0 22 3 1 #")"
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0 0 22 29 1 #"\n"
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0 0 22 29 1 #"\n"
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@ -2353,8 +2362,7 @@
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0 0 14 3 1 #"r"
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0 0 22 3 3 #")) "
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0 0 17 3 10 #"; relative"
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0 0 17 3 1 #" "
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0 0 17 3 23 #"to hor. range "
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0 0 17 3 24 #" to hor. range "
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0 0 22 29 1 #"\n"
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0 0 22 3 13 #" ("
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0 0 15 3 12 #"parameterize"
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@ -2387,8 +2395,7 @@
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0 0 14 3 1 #"r"
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0 0 22 3 3 #")) "
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0 0 17 3 10 #"; relative"
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0 0 17 3 1 #" "
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0 0 17 3 23 #"to hor. range "
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0 0 17 3 24 #" to hor. range "
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0 0 22 29 1 #"\n"
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0 0 22 3 15 #" ("
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0 0 15 3 12 #"parameterize"
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@ -3212,8 +3219,7 @@
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0 0 22 3 1 #" "
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0 0 19 3 1 #"\""
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0 0 19 3 7 #"Unknown"
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0 0 19 3 1 #" "
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0 0 19 3 8 #"spec ~a\""
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0 0 19 3 9 #" spec ~a\""
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0 0 22 3 2 #" ("
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0 0 14 3 5 #"first"
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0 0 22 3 1 #" "
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@ -3237,8 +3243,7 @@
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0 0 19 3 1 #"\""
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0 0 19 3 8 #"Internal"
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0 0 19 3 1 #" "
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0 0 19 3 6 #"error:"
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0 0 19 3 5 #" ~a \""
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0 0 19 3 11 #"error: ~a \""
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0 0 22 3 1 #" "
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0 0 14 3 1 #"p"
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0 0 22 3 7 #")])])))"
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@ -3387,8 +3392,7 @@
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0 0 22 3 2 #"))"
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0 0 22 29 1 #"\n"
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0 0 22 3 5 #" "
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0 0 17 3 16 #"; (Style (Text \""
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0 0 17 3 13 #"Hello\") 'Red)"
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0 0 17 3 29 #"; (Style (Text \"Hello\") 'Red)"
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0 0 22 29 1 #"\n"
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0 0 22 3 5 #" "
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0 0 14 3 4 #"Blue"
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@ -3419,8 +3423,7 @@
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0 0 22 3 2 #" ("
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0 0 14 3 4 #"Text"
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0 0 22 3 1 #" "
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0 0 19 3 1 #"\""
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0 0 19 3 6 #"World\""
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0 0 19 3 7 #"\"World\""
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0 0 22 3 2 #" ("
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0 0 20 3 3 #"300"
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0 0 22 3 1 #" "
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@ -4017,8 +4020,7 @@
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0 0 17 3 1 #","
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0 0 17 3 1 #"("
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0 0 17 3 1 #"/"
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0 0 17 3 1 #" "
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0 0 17 3 12 #"x (* 2 pi)))"
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0 0 17 3 13 #" x (* 2 pi)))"
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0 0 22 29 1 #"\n"
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0 0 22 3 2 #" "
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0 0 17 3 1 #";"
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@ -4032,12 +4034,10 @@
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0 0 17 3 1 #"1"
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0 0 17 3 2 #" ("
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0 0 17 3 1 #"/"
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0 0 17 3 1 #" "
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0 0 17 3 13 #"x (* 2 pi))))"
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0 0 17 3 14 #" x (* 2 pi))))"
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0 0 22 29 1 #"\n"
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0 0 22 3 2 #" "
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0 0 17 3 1 #";"
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0 0 17 3 49 #" (Rotate (Rectangle) ,x)))"
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0 0 17 3 50 #"; (Rotate (Rectangle) ,x)))"
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0 0 22 29 1 #"\n"
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0 0 22 3 2 #" "
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0 0 17 3 1 #";"
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@ -4048,8 +4048,7 @@
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0 0 17 3 2 #" ("
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0 0 17 3 1 #"*"
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0 0 17 3 1 #" "
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0 0 17 3 1 #"4"
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0 0 17 3 18 #" pi) (* 2/24 pi)))"
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0 0 17 3 19 #"4 pi) (* 2/24 pi)))"
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0 0 22 29 1 #"\n"
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0 0 22 3 2 #" "
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0 0 17 3 1 #";"
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@ -4057,8 +4056,7 @@
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0 0 17 3 1 #"'"
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0 0 17 3 2 #"(("
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0 0 17 3 5 #"Range"
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0 0 17 3 3 #" (("
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0 0 17 3 16 #"-2 2) (-2 2)))))"
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0 0 17 3 19 #" ((-2 2) (-2 2)))))"
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0 0 22 29 1 #"\n"
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0 0 22 3 2 #" "
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0 0 17 3 1 #";"
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@ -4268,8 +4266,7 @@
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0 0 17 3 1 #","
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0 0 17 3 1 #" "
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0 0 17 3 3 #"1.0"
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0 0 17 3 2 #"]>"
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0 0 17 3 28 #"; given: -0.0416666666666663"
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0 0 17 3 30 #"]>; given: -0.0416666666666663"
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0 0 22 29 1 #"\n"
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0 0 22 3 2 #" "
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0 0 22 29 1 #"\n"
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@ -4390,8 +4387,7 @@
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0 0 17 3 2 #" {"
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0 0 17 3 1 #"x"
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0 0 17 3 2 #", "
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0 0 17 3 1 #"0"
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0 0 17 3 7 #", 10}]]"
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0 0 17 3 8 #"0, 10}]]"
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0 0 22 29 1 #"\n"
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0 0 22 3 2 #" "
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0 0 17 3 2 #"; "
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0 0 22 29 1 #"\n"
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0 0 22 3 2 #" "
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0 0 17 3 1 #";"
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0 0 17 3 8 #"Graphics"
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0 0 17 3 7 #"[Table["
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0 0 17 3 15 #"Graphics[Table["
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0 0 22 29 1 #"\n"
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0 0 22 3 2 #" "
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0 0 17 3 1 #";"
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0 0 17 3 1 #","
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0 0 17 3 1 #" "
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0 0 17 3 3 #"0.5"
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0 0 17 3 3 #"]}]"
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0 0 17 3 22 #", ; black, opacity 50%"
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0 0 17 3 25 #"]}], ; black, opacity 50%"
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0 0 22 29 1 #"\n"
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0 0 22 3 2 #" "
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0 0 17 3 1 #";"
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0 0 17 3 1 #"1"
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0 0 17 3 1 #","
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0 0 17 3 1 #" "
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0 0 17 3 3 #"0.6"
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0 0 17 3 3 #"], "
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0 0 17 3 6 #"0.6], "
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0 0 22 29 1 #"\n"
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0 0 22 3 2 #" "
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0 0 17 3 1 #";"
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@ -5151,8 +5144,7 @@
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0 0 17 3 2 #" ("
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0 0 17 3 3 #"8-r"
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0 0 17 3 1 #")"
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0 0 17 3 2 #"/3"
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0 0 17 3 4 #"]}, "
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0 0 17 3 6 #"/3]}, "
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0 0 22 29 1 #"\n"
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0 0 22 3 2 #" "
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0 0 17 3 1 #";"
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) 0 0 17 3 1 #"r"
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0 0 17 3 1 #","
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0 0 17 3 1 #" "
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0 0 17 3 1 #"6"
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0 0 17 3 3 #"}, "
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0 0 17 3 4 #"6}, "
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0 0 22 29 1 #"\n"
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0 0 22 3 2 #" "
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0 0 17 3 1 #";"
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#" "
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#" {"
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) 0 0 17 3 1 #"q"
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0 0 17 3 1 #","
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0 0 17 3 6 #" 12}]]"
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0 0 17 3 7 #", 12}]]"
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0 0 22 29 1 #"\n"
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0 0 22 3 2 #" "
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0 0 22 29 1 #"\n"
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0 0 17 3 1 #"0"
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0 0 17 3 1 #" "
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0 0 17 3 1 #"0"
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0 0 17 3 2 #") "
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0 0 17 3 4 #"5)))"
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0 0 17 3 6 #") 5)))"
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0 0 22 29 1 #"\n"
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0 0
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;; Behaviour when dragging parabolas and lines.
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;; http://www.geogebra.org/forum/viewtopic.php?f=22&t=27113
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;; Write API for MathType.
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;; Support copy-paste with MathML ?
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(require racket/gui framework
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(except-in plot plot points)
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#lang at-exp scheme
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;; This is not in the use for the moment.
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(provide $ $quote $quote-syntax #%infix)
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(require "parameter.ss"
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#lang racket
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;;;
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;;; Support for MathJax and Asymptote.
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;;;
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(require scribble/manual
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scribble/core
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scribble/decode
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#reader(lib"read.ss""wxme")WXME0108 ##
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#|
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This file uses the GRacket editor format.
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Open this file in DrRacket version 5.3.0.6 or later to read it.
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Open this file in DrRacket version 5.3.0.11 or later to read it.
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Most likely, it was created by saving a program in DrRacket,
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and it probably contains a program with non-text elements
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@ -28,19 +28,19 @@
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|||
(
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#"((lib \"image-core.ss\" \"mrlib\") (lib \"image-core-wxme.rkt\" \"mr"
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#"lib\"))\0"
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) 1 0 33 #"(lib \"bullet-snip.ss\" \"browser\")\0"
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0 0 88
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) 1 0 29 #"drscheme:bindings-snipclass%\0"
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1 0 88
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(
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#"((lib \"pict-snip.rkt\" \"drracket\" \"private\") (lib \"pict-snip.r"
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#"kt\" \"drracket\" \"private\"))\0"
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) 0 0 29 #"drscheme:bindings-snipclass%\0"
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1 0 25 #"(lib \"matrix.ss\" \"htdp\")\0"
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) 0 0 33 #"(lib \"bullet-snip.ss\" \"browser\")\0"
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0 0 25 #"(lib \"matrix.ss\" \"htdp\")\0"
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1 0 22 #"drscheme:lambda-snip%\0"
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1 0 57
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#"(lib \"hrule-snip.rkt\" \"macro-debugger\" \"syntax-browser\")\0"
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1 0 45 #"(lib \"image-snipr.ss\" \"slideshow\" \"private\")\0"
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1 0 26 #"drscheme:pict-value-snip%\0"
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0 0 38 #"(lib \"pict-snipclass.ss\" \"slideshow\")\0"
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0 0 45 #"(lib \"image-snipr.ss\" \"slideshow\" \"private\")\0"
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1 0 38 #"(lib \"pict-snipclass.ss\" \"slideshow\")\0"
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2 0 55 #"(lib \"vertical-separator-snip.ss\" \"stepper\" \"private\")\0"
|
||||
1 0 18 #"drscheme:xml-snip\0"
|
||||
1 0 31 #"(lib \"xml-snipclass.ss\" \"xml\")\0"
|
||||
|
@ -50,7 +50,7 @@
|
|||
1 0 32 #"(lib \"text-snipclass.ss\" \"xml\")\0"
|
||||
1 0 15 #"test-case-box%\0"
|
||||
2 0 1 6 #"wxloc\0"
|
||||
0 0 63 0 1 #"\0"
|
||||
0 0 65 0 1 #"\0"
|
||||
0 75 1 #"\0"
|
||||
0 12 90 -1 90 -1 3 -1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 255 255 255 1 -1 0 9
|
||||
#"Standard\0"
|
||||
|
@ -196,52 +196,59 @@
|
|||
1 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 0 0 0 1 1 1 176 48 96 0 0 0 -1 -1 2 38
|
||||
#"plt:module-language:test-coverage-off\0"
|
||||
0 -1 1 #"\0"
|
||||
1 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 0 0 0 1 1 1 176 48 96 0 0 0 -1 -1 0 1
|
||||
1 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 0 0 0 1 1 1 176 48 96 0 0 0 -1 -1 4 1
|
||||
#"\0"
|
||||
0 71 1 #"\0"
|
||||
1.0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 1.0 1.0 1.0 1.0 1.0 1.0 0 0 0 0 0 0
|
||||
-1 -1 4 1 #"\0"
|
||||
0 -1 1 #"\0"
|
||||
1.0 0 -1 -1 -1 -1 -1 -1 1 0 0 0 0 0 0 0 0 1.0 1.0 1.0 0 0 255 0 0 0 -1
|
||||
-1 4 1 #"\0"
|
||||
0 71 1 #"\0"
|
||||
1.0 0 -1 -1 -1 -1 -1 -1 1 0 0 0 0 0 0 0 0 1.0 1.0 1.0 0 0 255 0 0 0 -1
|
||||
-1 4 1 #"\0"
|
||||
0 71 1 #"\0"
|
||||
1.0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 0 0 0 1.0 1.0 1.0 0 100 0 0 0 0 -1
|
||||
-1 4 1 #"\0"
|
||||
0 -1 1 #"\0"
|
||||
1.0 0 92 -1 -1 -1 -1 -1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 255 255 0 -1 -1 0
|
||||
1 #"\0"
|
||||
0 -1 1 #"\0"
|
||||
0 13 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 1.0 1.0 1.0 1.0 1.0 1.0 0 0 0 0 0 0
|
||||
-1 -1 2 1 #"\0"
|
||||
0 -1 1 #"\0"
|
||||
0 13 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 1.0 1.0 1.0 1.0 1.0 1.0 0 0 0 0 0 0
|
||||
-1 -1 2 1 #"\0"
|
||||
0 -1 1 #"\0"
|
||||
1 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 0 0 0 1 1 1 200 0 0 0 0 0 -1 -1 0 1
|
||||
#"\0"
|
||||
0 75 12 #"Courier New\0"
|
||||
0.0 16 90 -1 90 -1 3 -1 0 1 0 1 0 0 0.0 0.0 0.0 0.0 0.0 0.0 0 0 0 255
|
||||
255 255 1 -1 4 1 #"\0"
|
||||
0 71 1 #"\0"
|
||||
1.0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 1.0 1.0 1.0 1.0 1.0 1.0 0 0 0 0 0 0
|
||||
-1 -1 4 1 #"\0"
|
||||
0 -1 1 #"\0"
|
||||
1.0 0 -1 -1 -1 -1 -1 -1 1 0 0 0 0 0 0.0 0.0 0.0 1.0 1.0 1.0 0 0 255 0 0
|
||||
0 -1 -1 4 1 #"\0"
|
||||
0 71 1 #"\0"
|
||||
1.0 0 -1 -1 -1 -1 -1 -1 1 0 0 0 0 0 0.0 0.0 0.0 1.0 1.0 1.0 0 0 255 0 0
|
||||
0 -1 -1 4 1 #"\0"
|
||||
0 71 1 #"\0"
|
||||
1.0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 0.0 0.0 0.0 1.0 1.0 1.0 0 100 0 0 0
|
||||
0 -1 -1 2 1 #"\0"
|
||||
0 -1 1 #"\0"
|
||||
1.0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 0.0 0.0 0.0 1.0 1.0 1.0 200 0 0 0 0
|
||||
0 -1 -1 4 1 #"\0"
|
||||
0 -1 1 #"\0"
|
||||
1.0 0 92 -1 -1 -1 -1 -1 0 0 0 0 0 1 0.0 0.0 0.0 0.0 0.0 0.0 0 0 0 255
|
||||
255 0 -1 -1 0 1 #"\0"
|
||||
0 -1 1 #"\0"
|
||||
0.0 13 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 1.0 1.0 1.0 1.0 1.0 1.0 0 0 0 0 0 0
|
||||
-1 -1 2 1 #"\0"
|
||||
0 -1 1 #"\0"
|
||||
0.0 13 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 1.0 1.0 1.0 1.0 1.0 1.0 0 0 0 0 0 0
|
||||
-1 -1 4 1 #"\0"
|
||||
0 -1 1 #"\0"
|
||||
1.0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 1.0 1.0 1.0 1.0 1.0 1.0 0 0 0 0 0 0
|
||||
-1 -1 45 1 #"\0"
|
||||
0 -1 1 #"\0"
|
||||
1.0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 1.0 1.0 1.0 1.0 1.0 1.0 0 0 0 0 0 0
|
||||
-1 -1 47 1 #"\0"
|
||||
255 255 1 -1 47 1 #"\0"
|
||||
0 -1 1 #"\0"
|
||||
1.0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 1 0 0.0 0.0 0.0 0.0 0.0 0.0 0 0 0 255
|
||||
255 255 -1 -1 49 1 #"\0"
|
||||
0 -1 1 #"\0"
|
||||
1.0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 1 0 0.0 0.0 0.0 0.0 0.0 0.0 0 0 0 255
|
||||
255 255 -1 -1 0 14783 0 26 3 12 #"#lang racket"
|
||||
255 255 -1 -1 2 1 #"\0"
|
||||
0 71 1 #"\0"
|
||||
1.0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 1.0 1.0 1.0 1.0 1.0 1.0 0 0 0 0 0 0
|
||||
-1 -1 2 1 #"\0"
|
||||
0 71 1 #"\0"
|
||||
1.0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 0 0 0 1.0 1.0 1.0 0 100 0 0 0 0 -1
|
||||
-1 4 1 #"\0"
|
||||
0 -1 1 #"\0"
|
||||
1.0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 1.0 1.0 1.0 1.0 1.0 1.0 0 0 0 0 0 0
|
||||
-1 -1 45 1 #"\0"
|
||||
0 -1 1 #"\0"
|
||||
1.0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 1.0 1.0 1.0 1.0 1.0 1.0 0 0 0 0 0 0
|
||||
-1 -1 0 14714 0 26 3 12 #"#lang racket"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 22 3 1 #"("
|
||||
0 0 14 3 7 #"require"
|
||||
0 0 22 3 1 #" "
|
||||
0 0 19 3 13 #"\"for-max.rkt\""
|
||||
0 0 19 3 10 #"\"../utils/"
|
||||
0 0 19 3 12 #"for-max.rkt\""
|
||||
0 0 22 3 1 #")"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 22 29 1 #"\n"
|
||||
|
@ -331,8 +338,7 @@
|
|||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 30 #"; 7. More matrix constructors:"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 10 #"; - \""
|
||||
0 0 17 3 12 #"famous\" ones"
|
||||
0 0 17 3 22 #"; - \"famous\" ones"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 22 #"; - band matrices"
|
||||
0 0 22 29 1 #"\n"
|
||||
|
@ -389,8 +395,7 @@
|
|||
0 0 17 3 6 #"; ("
|
||||
0 0 17 3 7 #"require"
|
||||
0 0 17 3 10 #" (submod \""
|
||||
0 0 17 3 1 #"."
|
||||
0 0 17 3 8 #"\" test))"
|
||||
0 0 17 3 9 #".\" test))"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 45 #"; in the interaction window to run the tests."
|
||||
0 0 22 29 1 #"\n"
|
||||
|
@ -402,8 +407,7 @@
|
|||
0 0 17 3 1 #" "
|
||||
0 0 17 3 4 #"list"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 2 #"of"
|
||||
0 0 17 3 19 #" submodules to run."
|
||||
0 0 17 3 21 #"of submodules to run."
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 22 3 1 #"("
|
||||
|
@ -1166,8 +1170,7 @@
|
|||
0 0 19 3 2 #"do"
|
||||
0 0 19 3 1 #" "
|
||||
0 0 19 3 3 #"not"
|
||||
0 0 19 3 7 #" match."
|
||||
0 0 19 3 1 #"\""
|
||||
0 0 19 3 8 #" match.\""
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 22 3 16 #" ("
|
||||
0 0 14 3 1 #"="
|
||||
|
@ -1646,8 +1649,7 @@
|
|||
0 0 17 3 17 #"(for/matrix m n ("
|
||||
0 0 17 3 6 #"clause"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 3 #"..."
|
||||
0 0 17 3 15 #") . defs+exprs)"
|
||||
0 0 17 3 18 #"...) . defs+exprs)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 63
|
||||
#"; Return an m x n matrix with elements from the last expr."
|
||||
|
@ -1811,8 +1813,7 @@
|
|||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 20 #"; (for*/matrix m n ("
|
||||
0 0 17 3 6 #"clause"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 18 #"...) . defs+exprs)"
|
||||
0 0 17 3 19 #" ...) . defs+exprs)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 63
|
||||
#"; Return an m x n matrix with elements from the last expr."
|
||||
|
@ -1824,8 +1825,7 @@
|
|||
0 0 17 3 40 #"; The bindings in clauses run nested."
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 29 #"; (for*/matrix m n #:column ("
|
||||
0 0 17 3 6 #"clause"
|
||||
0 0 17 3 19 #" ...) . defs+exprs)"
|
||||
0 0 17 3 25 #"clause ...) . defs+exprs)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 63
|
||||
#"; Return an m x n matrix with elements from the last expr."
|
||||
|
@ -2168,8 +2168,7 @@
|
|||
0 0 17 3 1 #"("
|
||||
0 0 17 3 6 #"clause"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 3 #"..."
|
||||
0 0 17 3 15 #") . defs+exprs)"
|
||||
0 0 17 3 18 #"...) . defs+exprs)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 69
|
||||
(
|
||||
|
@ -2342,8 +2341,7 @@
|
|||
0 0 17 3 19 #"; (for*/matrix-sum "
|
||||
0 0 17 3 1 #"("
|
||||
0 0 17 3 6 #"clause"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 18 #"...) . defs+exprs)"
|
||||
0 0 17 3 19 #" ...) . defs+exprs)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 69
|
||||
(
|
||||
|
@ -2470,8 +2468,7 @@
|
|||
0 0 17 3 13 #";;; SEQUENCES"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 2 #"; "
|
||||
0 0 17 3 13 #"(in-matrix M)"
|
||||
0 0 17 3 15 #"; (in-matrix M)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 50 #"; Returns a sequence that of all elements of M."
|
||||
0 0 22 29 1 #"\n"
|
||||
|
@ -2641,8 +2638,7 @@
|
|||
0 0 19 3 1 #","
|
||||
0 0 19 3 1 #" "
|
||||
0 0 19 3 3 #"got"
|
||||
0 0 19 3 3 #" ~a"
|
||||
0 0 19 3 1 #"\""
|
||||
0 0 19 3 4 #" ~a\""
|
||||
0 0 22 3 1 #" "
|
||||
0 0 14 3 1 #"M"
|
||||
0 0 22 3 2 #"))"
|
||||
|
@ -2670,8 +2666,7 @@
|
|||
0 0 19 3 1 #","
|
||||
0 0 19 3 1 #" "
|
||||
0 0 19 3 3 #"got"
|
||||
0 0 19 3 3 #" ~a"
|
||||
0 0 19 3 1 #"\""
|
||||
0 0 19 3 4 #" ~a\""
|
||||
0 0 22 3 1 #" "
|
||||
0 0 14 3 1 #"r"
|
||||
0 0 22 3 3 #")))"
|
||||
|
@ -2804,8 +2799,7 @@
|
|||
0 0 19 3 1 #","
|
||||
0 0 19 3 1 #" "
|
||||
0 0 19 3 3 #"got"
|
||||
0 0 19 3 3 #" ~a"
|
||||
0 0 19 3 1 #"\""
|
||||
0 0 19 3 4 #" ~a\""
|
||||
0 0 22 3 1 #" "
|
||||
0 0 14 3 1 #"M"
|
||||
0 0 22 3 2 #"))"
|
||||
|
@ -2833,8 +2827,7 @@
|
|||
0 0 19 3 1 #","
|
||||
0 0 19 3 1 #" "
|
||||
0 0 19 3 3 #"got"
|
||||
0 0 19 3 3 #" ~a"
|
||||
0 0 19 3 1 #"\""
|
||||
0 0 19 3 4 #" ~a\""
|
||||
0 0 22 3 1 #" "
|
||||
0 0 14 3 1 #"r"
|
||||
0 0 22 3 3 #")))"
|
||||
|
@ -3043,8 +3036,7 @@
|
|||
0 0 19 3 1 #","
|
||||
0 0 19 3 1 #" "
|
||||
0 0 19 3 3 #"got"
|
||||
0 0 19 3 3 #" ~a"
|
||||
0 0 19 3 1 #"\""
|
||||
0 0 19 3 4 #" ~a\""
|
||||
0 0 22 3 1 #" "
|
||||
0 0 14 3 1 #"M"
|
||||
0 0 22 3 2 #"))"
|
||||
|
@ -3072,8 +3064,7 @@
|
|||
0 0 19 3 1 #","
|
||||
0 0 19 3 1 #" "
|
||||
0 0 19 3 3 #"got"
|
||||
0 0 19 3 3 #" ~a"
|
||||
0 0 19 3 1 #"\""
|
||||
0 0 19 3 4 #" ~a\""
|
||||
0 0 22 3 1 #" "
|
||||
0 0 14 3 1 #"s"
|
||||
0 0 22 3 3 #")))"
|
||||
|
@ -3210,8 +3201,7 @@
|
|||
0 0 19 3 1 #","
|
||||
0 0 19 3 1 #" "
|
||||
0 0 19 3 3 #"got"
|
||||
0 0 19 3 3 #" ~a"
|
||||
0 0 19 3 1 #"\""
|
||||
0 0 19 3 4 #" ~a\""
|
||||
0 0 22 3 1 #" "
|
||||
0 0 14 3 1 #"M"
|
||||
0 0 22 3 2 #"))"
|
||||
|
@ -3239,8 +3229,7 @@
|
|||
0 0 19 3 1 #","
|
||||
0 0 19 3 1 #" "
|
||||
0 0 19 3 3 #"got"
|
||||
0 0 19 3 3 #" ~a"
|
||||
0 0 19 3 1 #"\""
|
||||
0 0 19 3 4 #" ~a\""
|
||||
0 0 22 3 1 #" "
|
||||
0 0 14 3 1 #"s"
|
||||
0 0 22 3 3 #")))"
|
||||
|
@ -3363,8 +3352,7 @@
|
|||
0 0 17 3 1 #"M"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 1 #"i"
|
||||
0 0 17 3 2 #" j"
|
||||
0 0 17 3 5 #" m n)"
|
||||
0 0 17 3 7 #" j m n)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 62
|
||||
#"; Return the submatrix of M with upper left corner in (i,j)"
|
||||
|
@ -3598,8 +3586,7 @@
|
|||
0 0 17 3 1 #" "
|
||||
0 0 17 3 4 #"ones"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 2 #"on"
|
||||
0 0 17 3 34 #" the diagonal and zeros elsewhere."
|
||||
0 0 17 3 36 #"on the diagonal and zeros elsewhere."
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 22 3 1 #"("
|
||||
0 0 15 3 6 #"define"
|
||||
|
@ -3721,8 +3708,7 @@
|
|||
0 0 22 3 3 #")])"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 3 #"; ("
|
||||
0 0 17 3 14 #"matrix-augment"
|
||||
0 0 17 3 5 #" M N)"
|
||||
0 0 17 3 19 #"matrix-augment M N)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 18 #"; Return [M N]."
|
||||
0 0 22 29 1 #"\n"
|
||||
|
@ -4776,8 +4762,7 @@
|
|||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 2 #"; "
|
||||
0 0 17 3 1 #"("
|
||||
0 0 17 3 10 #"matrix-add"
|
||||
0 0 17 3 5 #" M N)"
|
||||
0 0 17 3 15 #"matrix-add M N)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 16 #"; Return M+N."
|
||||
0 0 22 29 1 #"\n"
|
||||
|
@ -4900,8 +4885,7 @@
|
|||
0 0 14 3 7 #"matrix?"
|
||||
0 0 22 3 3 #")])"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 2 #"; "
|
||||
0 0 17 3 16 #"(matrix-sub M N)"
|
||||
0 0 17 3 18 #"; (matrix-sub M N)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 16 #"; Return M-N."
|
||||
0 0 22 29 1 #"\n"
|
||||
|
@ -5391,8 +5375,7 @@
|
|||
0 0 17 3 1 #"("
|
||||
0 0 17 3 17 #"matrix-swap-rows!"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 1 #"M"
|
||||
0 0 17 3 5 #" r s)"
|
||||
0 0 17 3 6 #"M r s)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 32 #"; Swap the rows r and s in M."
|
||||
0 0 22 29 1 #"\n"
|
||||
|
@ -5552,8 +5535,7 @@
|
|||
0 0 17 3 1 #"("
|
||||
0 0 17 3 17 #"matrix-scale-row!"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 1 #"M"
|
||||
0 0 17 3 5 #" r a)"
|
||||
0 0 17 3 6 #"M r a)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 43 #"; Multiply all elements in row r with a."
|
||||
0 0 22 29 1 #"\n"
|
||||
|
@ -5702,8 +5684,7 @@
|
|||
0 0 17 3 1 #" "
|
||||
0 0 17 3 1 #"M"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 1 #"r"
|
||||
0 0 17 3 5 #" a s)"
|
||||
0 0 17 3 6 #"r a s)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 34 #"; row t becomes row_r + a*row_s"
|
||||
0 0 22 29 1 #"\n"
|
||||
|
@ -5939,8 +5920,7 @@
|
|||
0 0 22 3 3 #")])"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 2 #"; "
|
||||
0 0 17 3 1 #"("
|
||||
0 0 17 3 16 #"row-vector . xs)"
|
||||
0 0 17 3 17 #"(row-vector . xs)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 59
|
||||
#"; Return row vector (1xn matrix) with elements from xs."
|
||||
|
@ -6321,8 +6301,7 @@
|
|||
0 0 17 3 3 #"; ("
|
||||
0 0 17 3 23 #"matrix-gauss-eliminate!"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 1 #"M"
|
||||
0 0 17 3 25 #" [unitize-pivot-row? #f])"
|
||||
0 0 17 3 26 #"M [unitize-pivot-row? #f])"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 38 #"; Transform M to row echelon form."
|
||||
0 0 22 29 1 #"\n"
|
||||
|
@ -7185,8 +7164,7 @@
|
|||
0 0 14 3 7 #"matrix?"
|
||||
0 0 22 3 3 #")])"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 20 #"; (row-echelon-form "
|
||||
0 0 17 3 26 #"M [unitize-pivot-row? #f])"
|
||||
0 0 17 3 46 #"; (row-echelon-form M [unitize-pivot-row? #f])"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 39 #"; Return the row-echelon form of M."
|
||||
0 0 22 29 1 #"\n"
|
||||
|
@ -8678,8 +8656,7 @@
|
|||
0 0 19 3 6 #"matrix"
|
||||
0 0 19 3 1 #" "
|
||||
0 0 19 3 3 #"not"
|
||||
0 0 19 3 7 #" square"
|
||||
0 0 19 3 1 #"\""
|
||||
0 0 19 3 8 #" square\""
|
||||
0 0 22 3 2 #"))"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 22 3 3 #" ("
|
||||
|
@ -8792,8 +8769,7 @@
|
|||
0 0 22 3 2 #"))"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 2 #"; "
|
||||
0 0 17 3 18 #"(matrix-solve M b)"
|
||||
0 0 17 3 20 #"; (matrix-solve M b)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 47 #"; Return a column-vector x such that Mx = b."
|
||||
0 0 22 29 1 #"\n"
|
||||
|
@ -8870,8 +8846,7 @@
|
|||
0 0 19 3 1 #" "
|
||||
0 0 19 3 4 #"got:"
|
||||
0 0 19 3 1 #" "
|
||||
0 0 19 3 3 #"~a "
|
||||
0 0 19 3 1 #"\""
|
||||
0 0 19 3 4 #"~a \""
|
||||
0 0 22 3 1 #" "
|
||||
0 0 14 3 1 #"b"
|
||||
0 0 22 3 2 #"))"
|
||||
|
@ -8910,8 +8885,7 @@
|
|||
0 0 19 3 2 #"as"
|
||||
0 0 19 3 1 #" "
|
||||
0 0 19 3 3 #"the"
|
||||
0 0 19 3 7 #" matrix"
|
||||
0 0 19 3 1 #"\""
|
||||
0 0 19 3 8 #" matrix\""
|
||||
0 0 22 3 2 #"))"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 22 3 3 #" ("
|
||||
|
@ -9078,8 +9052,7 @@
|
|||
0 0 19 3 1 #" "
|
||||
0 0 19 3 4 #"got:"
|
||||
0 0 19 3 1 #" "
|
||||
0 0 19 3 3 #"~a "
|
||||
0 0 19 3 1 #"\""
|
||||
0 0 19 3 4 #"~a \""
|
||||
0 0 22 3 2 #" ("
|
||||
0 0 14 3 5 #"first"
|
||||
0 0 22 3 1 #" "
|
||||
|
@ -9120,8 +9093,7 @@
|
|||
0 0 19 3 2 #"as"
|
||||
0 0 19 3 1 #" "
|
||||
0 0 19 3 3 #"the"
|
||||
0 0 19 3 7 #" matrix"
|
||||
0 0 19 3 1 #"\""
|
||||
0 0 19 3 8 #" matrix\""
|
||||
0 0 22 3 2 #"))"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 22 3 3 #" ("
|
||||
|
@ -9757,8 +9729,7 @@
|
|||
0 0 22 3 1 #")"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 22 3 3 #" ("
|
||||
0 0 15 3 2 #"de"
|
||||
0 0 15 3 1 #"f"
|
||||
0 0 15 3 3 #"def"
|
||||
0 0 22 3 1 #" "
|
||||
0 0 14 3 1 #"v"
|
||||
0 0 22 3 2 #" ("
|
||||
|
@ -10439,8 +10410,7 @@
|
|||
0 0 19 3 1 #","
|
||||
0 0 19 3 1 #" "
|
||||
0 0 19 3 4 #"got:"
|
||||
0 0 19 3 1 #" "
|
||||
0 0 19 3 3 #"~a\""
|
||||
0 0 19 3 4 #" ~a\""
|
||||
0 0 22 3 1 #" "
|
||||
0 0 14 3 2 #"gv"
|
||||
0 0 22 3 4 #")]))"
|
||||
|
@ -10949,8 +10919,7 @@
|
|||
0 0 14 3 7 #"number?"
|
||||
0 0 22 3 3 #")])"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 2 #"; "
|
||||
0 0 17 3 15 #"(vector-norm v)"
|
||||
0 0 17 3 17 #"; (vector-norm v)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 46 #"; Return the norm of the genereal vector v."
|
||||
0 0 22 29 1 #"\n"
|
||||
|
@ -11030,8 +10999,7 @@
|
|||
0 0 22 3 3 #")])"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 3 #"; ("
|
||||
0 0 17 3 12 #"vector-angle"
|
||||
0 0 17 3 5 #" v w)"
|
||||
0 0 17 3 17 #"vector-angle v w)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 47 #"; Return the unsigned angle between v and w."
|
||||
0 0 22 29 1 #"\n"
|
||||
|
@ -11158,8 +11126,7 @@
|
|||
0 0 14 3 16 #"general-vector/c"
|
||||
0 0 22 3 3 #")])"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 15 #"; (vector-scale"
|
||||
0 0 17 3 5 #" s v)"
|
||||
0 0 17 3 20 #"; (vector-scale s v)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 38 #"; Multiply s on all elements of v."
|
||||
0 0 22 29 1 #"\n"
|
||||
|
@ -11609,8 +11576,7 @@
|
|||
0 0 22 3 3 #")])"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 3 #"; ("
|
||||
0 0 17 3 30 #"projection-on-orthogonal-basis"
|
||||
0 0 17 3 6 #" v bs)"
|
||||
0 0 17 3 36 #"projection-on-orthogonal-basis v bs)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 64
|
||||
#"; Project the basis v on the orthogonal basis vectors in bs."
|
||||
|
@ -11835,8 +11801,7 @@
|
|||
0 0 14 3 15 #"column-vector/c"
|
||||
0 0 22 3 3 #")])"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 3 #"; ("
|
||||
0 0 17 3 37 #"projection-on-orthonormal-basis v bs)"
|
||||
0 0 17 3 40 #"; (projection-on-orthonormal-basis v bs)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 65
|
||||
#"; Project the basis v on the orthonormal basis vectors in bs."
|
||||
|
@ -12150,8 +12115,7 @@
|
|||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 8 #"; an"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 10 #"orthogonal"
|
||||
0 0 17 3 26 #" basis for the span of the"
|
||||
0 0 17 3 36 #"orthogonal basis for the span of the"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 20 #"; vectors in ws."
|
||||
0 0 22 29 1 #"\n"
|
||||
|
@ -12420,8 +12384,7 @@
|
|||
0 0 22 3 3 #")])"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 3 #"; ("
|
||||
0 0 17 3 22 #"projection-on-subspace"
|
||||
0 0 17 3 6 #" v ws)"
|
||||
0 0 17 3 28 #"projection-on-subspace v ws)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 57 #"; Returns the projection of v on span{w_i}, w_i in ws."
|
||||
0 0 22 29 1 #"\n"
|
||||
|
@ -14370,8 +14333,7 @@
|
|||
0 0 22 3 16 #" ("
|
||||
0 0 14 3 6 #"format"
|
||||
0 0 22 3 1 #" "
|
||||
0 0 19 3 3 #"\"~a"
|
||||
0 0 19 3 1 #"\""
|
||||
0 0 19 3 4 #"\"~a\""
|
||||
0 0 22 3 2 #" ("
|
||||
0 0 14 3 1 #"f"
|
||||
0 0 22 3 1 #" "
|
||||
|
@ -14462,8 +14424,7 @@
|
|||
0 0 22 29 1 #"\n"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 3 #"; ("
|
||||
0 0 17 3 6 #"define"
|
||||
0 0 17 3 37 #" b (column-vector 6.5 8.5 11.0 12.5))"
|
||||
0 0 17 3 43 #"define b (column-vector 6.5 8.5 11.0 12.5))"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 3 #"; ("
|
||||
0 0 17 3 6 #"define"
|
||||
|
@ -14478,8 +14439,7 @@
|
|||
0 0 17 3 1 #"1"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 1 #"1"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 28 #"1) (column-vector 2 4 5 6)))"
|
||||
0 0 17 3 29 #" 1) (column-vector 2 4 5 6)))"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 30 #"; (projection-on-subspace b A)"
|
||||
0 0 22 29 1 #"\n"
|
||||
|
@ -14618,11 +14578,9 @@
|
|||
#"; At that moment, the non-existance of a solution is known."
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 1 #";"
|
||||
0 0 17 3 1 #">"
|
||||
0 0 17 3 39 #" (vector-in-span? (column-vector 7 6 1)"
|
||||
0 0 17 3 40 #"> (vector-in-span? (column-vector 7 6 1)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 1 #";"
|
||||
0 0 17 3 46 #" (list (column-vector 1 2 3)"
|
||||
0 0 17 3 47 #"; (list (column-vector 1 2 3)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 49 #"; (column-vector -2 -5 2)"
|
||||
0 0 22 29 1 #"\n"
|
||||
|
@ -14656,22 +14614,19 @@
|
|||
0 0 17 3 2 #" ("
|
||||
0 0 17 3 13 #"column-vector"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 1 #"1"
|
||||
0 0 17 3 5 #" 2 3)"
|
||||
0 0 17 3 6 #"1 2 3)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 1 #";"
|
||||
0 0 17 3 38 #" ("
|
||||
0 0 17 3 13 #"column-vector"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 2 #"-2"
|
||||
0 0 17 3 6 #" -5 2)"
|
||||
0 0 17 3 8 #"-2 -5 2)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 1 #";"
|
||||
0 0 17 3 38 #" ("
|
||||
0 0 17 3 13 #"column-vector"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 1 #"1"
|
||||
0 0 17 3 8 #" 2 -2)))"
|
||||
0 0 17 3 9 #"1 2 -2)))"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 1 #";"
|
||||
0 0 17 3 15 #" ("
|
||||
|
@ -14700,14 +14655,12 @@
|
|||
0 0 17 3 1 #" "
|
||||
0 0 17 3 1 #"'"
|
||||
0 0 17 3 2 #"#("
|
||||
0 0 17 3 1 #"7"
|
||||
0 0 17 3 6 #" 6 1))"
|
||||
0 0 17 3 7 #"7 6 1))"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 1 #";"
|
||||
0 0 17 3 1 #"("
|
||||
0 0 17 3 6 #"define"
|
||||
0 0 17 3 15 #" (is-basis? vs)"
|
||||
0 0 17 3 21 #"define (is-basis? vs)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 6 #"; ("
|
||||
0 0 17 3 5 #"check"
|
||||
|
@ -14719,14 +14672,12 @@
|
|||
0 0 17 3 3 #"are"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 1 #"a"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 18 #"basis)) p. 122-123"
|
||||
0 0 17 3 19 #" basis)) p. 122-123"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 1 #";"
|
||||
0 0 17 3 1 #"("
|
||||
0 0 17 3 6 #"define"
|
||||
0 0 17 3 26 #" (reduce-span-to-basis vs)"
|
||||
0 0 17 3 32 #"define (reduce-span-to-basis vs)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 18 #"; ...) ; p. 138"
|
||||
0 0 22 29 1 #"\n"
|
||||
|
@ -14747,8 +14698,7 @@
|
|||
0 0 17 3 6 #"define"
|
||||
0 0 17 3 2 #" ("
|
||||
0 0 17 3 20 #"expand-span-to-basis"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 17 #"vs) ...) ; p. 145"
|
||||
0 0 17 3 18 #" vs) ...) ; p. 145"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 2 #";("
|
||||
0 0 17 3 6 #"define"
|
||||
|
@ -14756,8 +14706,7 @@
|
|||
0 0 17 3 29 #"coordinated-relative-to-basis"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 1 #"v"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 17 #"bs) ...) ; p. 153"
|
||||
0 0 17 3 18 #" bs) ...) ; p. 153"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 2 #";("
|
||||
0 0 17 3 6 #"define"
|
||||
|
@ -14765,15 +14714,13 @@
|
|||
0 0 17 3 22 #"change-of-basis-matrix"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 2 #"bs"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 17 #"cs) ...) ; p. 157"
|
||||
0 0 17 3 18 #" cs) ...) ; p. 157"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 2 #";("
|
||||
0 0 17 3 6 #"define"
|
||||
0 0 17 3 2 #" ("
|
||||
0 0 17 3 11 #"determinant"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 13 #"M) ...) ; p ?"
|
||||
0 0 17 3 14 #" M) ...) ; p ?"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 13 #";;; Run tests"
|
||||
|
@ -14782,8 +14729,7 @@
|
|||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 2 #";("
|
||||
0 0 17 3 7 #"require"
|
||||
0 0 17 3 2 #" ("
|
||||
0 0 17 3 17 #"submod \".\" test))"
|
||||
0 0 17 3 19 #" (submod \".\" test))"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 91
|
||||
|
@ -14983,13 +14929,11 @@
|
|||
0 0 17 3 5 #"-100."
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 4 #"200."
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 6 #"100.))"
|
||||
0 0 17 3 7 #" 100.))"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 3 #"; ("
|
||||
0 0 17 3 16 #"row-echelon-form"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 2 #"M)"
|
||||
0 0 17 3 3 #" M)"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 32 #"; Example from Trefethen and Bau"
|
||||
|
@ -15004,15 +14948,13 @@
|
|||
0 0 17 3 5 #"-128."
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 4 #"128."
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 5 #"4.0))"
|
||||
0 0 17 3 6 #" 4.0))"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 2 #";("
|
||||
0 0 17 3 6 #"define"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 1 #"A"
|
||||
0 0 17 3 2 #" ("
|
||||
0 0 17 3 16 #"matrix-augment* "
|
||||
0 0 17 3 18 #" (matrix-augment* "
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 13 #"; ("
|
||||
0 0 17 3 4 #"list"
|
||||
|
@ -15028,8 +14970,7 @@
|
|||
0 0 17 3 1 #"x"
|
||||
0 0 17 3 2 #") "
|
||||
0 0 17 3 1 #"0"
|
||||
0 0 17 3 2 #") "
|
||||
0 0 17 3 4 #"xs))"
|
||||
0 0 17 3 6 #") xs))"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 19 #"; ("
|
||||
0 0 17 3 5 #"apply"
|
||||
|
@ -15043,8 +14984,7 @@
|
|||
0 0 17 3 1 #"x"
|
||||
0 0 17 3 2 #") "
|
||||
0 0 17 3 1 #"x"
|
||||
0 0 17 3 2 #") "
|
||||
0 0 17 3 4 #"xs))"
|
||||
0 0 17 3 6 #") xs))"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 19 #"; ("
|
||||
0 0 17 3 5 #"apply"
|
||||
|
@ -15062,8 +15002,7 @@
|
|||
0 0 17 3 1 #"x"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 1 #"x"
|
||||
0 0 17 3 3 #")) "
|
||||
0 0 17 3 4 #"xs))"
|
||||
0 0 17 3 7 #")) xs))"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 19 #"; ("
|
||||
0 0 17 3 5 #"apply"
|
||||
|
@ -15083,8 +15022,7 @@
|
|||
0 0 17 3 1 #"x"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 1 #"x"
|
||||
0 0 17 3 3 #")) "
|
||||
0 0 17 3 7 #"xs)))))"
|
||||
0 0 17 3 10 #")) xs)))))"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 17 3 3 #"; ("
|
||||
0 0 17 3 13 #"define-values"
|
||||
|
@ -15094,8 +15032,7 @@
|
|||
0 0 17 3 1 #"R"
|
||||
0 0 17 3 3 #") ("
|
||||
0 0 17 3 9 #"matrix-QR"
|
||||
0 0 17 3 1 #" "
|
||||
0 0 17 3 3 #"A))"
|
||||
0 0 17 3 4 #" A))"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0 22 29 1 #"\n"
|
||||
0 0
|
||||
|
|
|
@ -1,4 +1,8 @@
|
|||
#lang racket
|
||||
;;; This is not in use at the moment.
|
||||
;;; However it would be possible to implement Maxima-boxes
|
||||
;;; in the GUI and use Maxima as a backend with this.
|
||||
|
||||
(require racket/tcp racket/gui/base)
|
||||
|
||||
;;;
|
||||
|
|
|
@ -1,5 +1,4 @@
|
|||
#lang racket
|
||||
|
||||
(require (planet williams/science/unsafe-ops-utils)
|
||||
racket/flonum)
|
||||
|
||||
|
@ -39,55 +38,63 @@
|
|||
;;; TEST
|
||||
;;;
|
||||
|
||||
(require (planet williams/science/random-source)
|
||||
(planet williams/science/math))
|
||||
#;(module test racket
|
||||
(require (planet williams/science/random-source)
|
||||
(planet williams/science/math)
|
||||
(planet williams/science/unsafe-ops-utils)
|
||||
racket/flonum)
|
||||
(define-syntax-rule (fl~ x)
|
||||
(fl- 0.0 x))
|
||||
|
||||
(define (test)
|
||||
(define eps 1e-9)
|
||||
(define (random-real-between from to)
|
||||
(real->float (+ from (* (- to from) (random-real)))))
|
||||
(define (rand) (random-real-between -10 10))
|
||||
(let ([a (rand)] [r1 (rand)] [r2 (rand)])
|
||||
(let ([r1 (min r1 r2)] [r2 (max r1 r2)])
|
||||
(let ([b (fl* a (fl~ (fl+ r1 r2)))]
|
||||
[c (fl* a (fl* r1 r2))])
|
||||
(andmap (λ (x1 x2)
|
||||
(unless (zero? (fcmp x1 x2 eps))
|
||||
(display (list '(a r1 r2) '= (list a r1 r2))) (newline)
|
||||
(display (list '(a b c) ' = (list a b c))) (newline)
|
||||
(display (list '(solve-quadratic a b c) '= (solve-quadratic a b c))) (newline)
|
||||
(display (list `(fcmp ,x1 ,x2 ,eps) '= (fcmp x1 x2 eps))) (newline))
|
||||
(zero? (fcmp x1 x2 eps)))
|
||||
(solve-quadratic a b c)
|
||||
(list r1 r2))))))
|
||||
|
||||
; a r1 r2 ((0.8002497503654915 -0.5820734661704101 4.291708989226137)
|
||||
; a b c (0.8002497503654915 -2.968634901272305 -1.999095840595189))
|
||||
;(test)
|
||||
|
||||
; (solve-quadratic 0.8002497503654915 -2.968634901272305 -1.999095840595189)
|
||||
|
||||
; (fcmp -0.5820734661704101 -0.5820734661704101 1e-15)
|
||||
|
||||
|
||||
;;; cases to investigate
|
||||
|
||||
;((a r1 r2) = (3.8566316203631885 -8.106416563069132 -8.032453290827172))
|
||||
;((a b c) = (3.8566316203631885 62.24167579546271 251.12230179873728))
|
||||
;((solve-quadratic a b c) = (-8.106416563068963 -8.03245329082734))
|
||||
;((fcmp -8.106416563068963 -8.106416563069132 1e-14) = 1)
|
||||
;
|
||||
;((a r1 r2) = (-1.6265548994586378 -9.696396453504093 -9.60199798858156))
|
||||
;((a b c) = (-1.6265548994586378 -31.38989803145976 -151.44003484077456))
|
||||
;((solve-quadratic a b c) = (-9.696396453503917 -9.601997988581735))
|
||||
;((fcmp -9.696396453503917 -9.696396453504093 1e-14) = 1)
|
||||
;
|
||||
;((a r1 r2) = (8.297284009362357 5.2152202289471905 5.247945289959347))
|
||||
;((a b c) = (8.297284009362357 -86.81585594733481 227.08994615882847))
|
||||
;((solve-quadratic a b c) = (5.215220228947072 5.247945289959466))
|
||||
;((fcmp 5.215220228947072 5.2152202289471905 1e-14) = -1)
|
||||
;
|
||||
;((a r1 r2) = (8.441076002955395 -4.497852045007335 -4.494381895016747))
|
||||
;((a b c) = (8.441076002955395 75.90413012409832 170.6368983607456))
|
||||
;((solve-quadratic a b c) = (-4.497852045006565 -4.494381895017516))
|
||||
;((fcmp -4.497852045006565 -4.497852045007335 1e-14) = 1)
|
||||
|
||||
)
|
||||
|
||||
(define (test)
|
||||
(define eps 1e-9)
|
||||
(define (random-real-between from to)
|
||||
(real->float (+ from (* (- to from) (random-real)))))
|
||||
(define (rand) (random-real-between -10 10))
|
||||
(let ([a (rand)] [r1 (rand)] [r2 (rand)])
|
||||
(let ([r1 (min r1 r2)] [r2 (max r1 r2)])
|
||||
(let ([b (fl* a (fl~ (fl+ r1 r2)))]
|
||||
[c (fl* a (fl* r1 r2))])
|
||||
(andmap (λ (x1 x2)
|
||||
(unless (zero? (fcmp x1 x2 eps))
|
||||
(display (list '(a r1 r2) '= (list a r1 r2))) (newline)
|
||||
(display (list '(a b c) ' = (list a b c))) (newline)
|
||||
(display (list '(solve-quadratic a b c) '= (solve-quadratic a b c))) (newline)
|
||||
(display (list `(fcmp ,x1 ,x2 ,eps) '= (fcmp x1 x2 eps))) (newline))
|
||||
(zero? (fcmp x1 x2 eps)))
|
||||
(solve-quadratic a b c)
|
||||
(list r1 r2))))))
|
||||
|
||||
; a r1 r2 ((0.8002497503654915 -0.5820734661704101 4.291708989226137)
|
||||
; a b c (0.8002497503654915 -2.968634901272305 -1.999095840595189))
|
||||
;(test)
|
||||
|
||||
; (solve-quadratic 0.8002497503654915 -2.968634901272305 -1.999095840595189)
|
||||
|
||||
; (fcmp -0.5820734661704101 -0.5820734661704101 1e-15)
|
||||
|
||||
|
||||
;;; cases to investigate
|
||||
|
||||
;((a r1 r2) = (3.8566316203631885 -8.106416563069132 -8.032453290827172))
|
||||
;((a b c) = (3.8566316203631885 62.24167579546271 251.12230179873728))
|
||||
;((solve-quadratic a b c) = (-8.106416563068963 -8.03245329082734))
|
||||
;((fcmp -8.106416563068963 -8.106416563069132 1e-14) = 1)
|
||||
;
|
||||
;((a r1 r2) = (-1.6265548994586378 -9.696396453504093 -9.60199798858156))
|
||||
;((a b c) = (-1.6265548994586378 -31.38989803145976 -151.44003484077456))
|
||||
;((solve-quadratic a b c) = (-9.696396453503917 -9.601997988581735))
|
||||
;((fcmp -9.696396453503917 -9.696396453504093 1e-14) = 1)
|
||||
;
|
||||
;((a r1 r2) = (8.297284009362357 5.2152202289471905 5.247945289959347))
|
||||
;((a b c) = (8.297284009362357 -86.81585594733481 227.08994615882847))
|
||||
;((solve-quadratic a b c) = (5.215220228947072 5.247945289959466))
|
||||
;((fcmp 5.215220228947072 5.2152202289471905 1e-14) = -1)
|
||||
;
|
||||
;((a r1 r2) = (8.441076002955395 -4.497852045007335 -4.494381895016747))
|
||||
;((a b c) = (8.441076002955395 75.90413012409832 170.6368983607456))
|
||||
;((solve-quadratic a b c) = (-4.497852045006565 -4.494381895017516))
|
||||
;((fcmp -4.497852045006565 -4.497852045007335 1e-14) = 1)
|
||||
|
|
|
@ -17,8 +17,11 @@
|
|||
;;; an explanation of the algorithm:
|
||||
;;; http://yacas.sourceforge.net/Algochapter4.html#c4s1
|
||||
|
||||
(define *debug* #t)
|
||||
;;; See
|
||||
;;; http://scicomp.stackexchange.com/questions/2377/algorithms-for-adaptive-function-plotting
|
||||
;;; for discussion on adaptive plotting.
|
||||
|
||||
(define *debug* #t)
|
||||
|
||||
; These count functions are used to measure the
|
||||
; number of evaluations of the function to be drawn.
|
||||
|
|
Loading…
Reference in New Issue
Block a user