From beab31171cec9cfd75ecf91316aca89bc3a90627 Mon Sep 17 00:00:00 2001 From: entuland Date: Mon, 2 Jul 2018 15:26:07 +0200 Subject: [PATCH] Initial commit --- .gitattributes | 2 + LICENSE.txt | 397 +++++++++++++++++++++++++++++++++++++++++++++++++ README.txt | 2 + init.lua | 8 + mod.conf | 1 + quaternion.lua | 75 ++++++++++ 6 files changed, 485 insertions(+) create mode 100644 .gitattributes create mode 100644 LICENSE.txt create mode 100644 README.txt create mode 100644 init.lua create mode 100644 mod.conf create mode 100644 quaternion.lua diff --git a/.gitattributes b/.gitattributes new file mode 100644 index 0000000..dfe0770 --- /dev/null +++ b/.gitattributes @@ -0,0 +1,2 @@ +# Auto detect text files and perform LF normalization +* text=auto diff --git a/LICENSE.txt b/LICENSE.txt new file mode 100644 index 0000000..68d93f4 --- /dev/null +++ b/LICENSE.txt @@ -0,0 +1,397 @@ + GNU Free Documentation License + Version 1.2, November 2002 + + + Copyright (C) 2000,2001,2002 Free Software Foundation, Inc. + 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA + Everyone is permitted to copy and distribute verbatim copies + of this license document, but changing it is not allowed. + + +0. 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"/quaternion.lua") + +-- that's it diff --git a/mod.conf b/mod.conf new file mode 100644 index 0000000..ba61054 --- /dev/null +++ b/mod.conf @@ -0,0 +1 @@ +name = complex diff --git a/quaternion.lua b/quaternion.lua new file mode 100644 index 0000000..abc281e --- /dev/null +++ b/quaternion.lua @@ -0,0 +1,75 @@ +--[[ + +Copied over from https://rosettacode.org/wiki/Quaternion_type#Lua + +--]] + +--////////////////-- +--// quaternion //-- +--////////////////-- + +local Quaternion = {} + +function Quaternion.new( a, b, c, d ) + local q = { a = a or 1, b = b or 0, c = c or 0, d = d or 0 } + + local metatab = {} + setmetatable( q, metatab ) + metatab.__add = Quaternion.add + metatab.__sub = Quaternion.sub + metatab.__unm = Quaternion.unm + metatab.__mul = Quaternion.mul + + return q +end + +function Quaternion.add( p, q ) + if type( p ) == "number" then + return Quaternion.new( p+q.a, q.b, q.c, q.d ) + elseif type( q ) == "number" then + return Quaternion.new( p.a+q, p.b, p.c, p.d ) + else + return Quaternion.new( p.a+q.a, p.b+q.b, p.c+q.c, p.d+q.d ) + end +end + +function Quaternion.sub( p, q ) + if type( p ) == "number" then + return Quaternion.new( p-q.a, q.b, q.c, q.d ) + elseif type( q ) == "number" then + return Quaternion.new( p.a-q, p.b, p.c, p.d ) + else + return Quaternion.new( p.a-q.a, p.b-q.b, p.c-q.c, p.d-q.d ) + end +end + +function Quaternion.unm( p ) + return Quaternion.new( -p.a, -p.b, -p.c, -p.d ) +end + +function Quaternion.mul( p, q ) + if type( p ) == "number" then + return Quaternion.new( p*q.a, p*q.b, p*q.c, p*q.d ) + elseif type( q ) == "number" then + return Quaternion.new( p.a*q, p.b*q, p.c*q, p.d*q ) + else + return Quaternion.new( p.a*q.a - p.b*q.b - p.c*q.c - p.d*q.d, + p.a*q.b + p.b*q.a + p.c*q.d - p.d*q.c, + p.a*q.c - p.b*q.d + p.c*q.a + p.d*q.b, + p.a*q.d + p.b*q.c - p.c*q.b + p.d*q.a ) + end +end + +function Quaternion.conj( p ) + return Quaternion.new( p.a, -p.b, -p.c, -p.d ) +end + +function Quaternion.norm( p ) + return math.sqrt( p.a^2 + p.b^2 + p.c^2 + p.d^2 ) +end + +function Quaternion.print( p ) + print( string.format( "%f + %fi + %fj + %fk\n", p.a, p.b, p.c, p.d ) ) +end + +return Quaternion \ No newline at end of file