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authorLua Team <team@lua.org>1995-11-28 12:00:00 +0000
committerrepogen <>1995-11-28 12:00:00 +0000
commit71754d2f6423fb9b6e87658e58bafc5470d53f65 (patch)
treec704e97b80e52a52d3152738941bb4c8ca676b97 /test/examples/complex
parenta8b6ba0954edb9e0e669e1f451b9a8f145ce5166 (diff)
downloadlua-github-2.2.tar.gz
Lua 2.22.2
Diffstat (limited to 'test/examples/complex')
-rw-r--r--test/examples/complex/complex.lua82
-rw-r--r--test/examples/complex/mandel.lua25
2 files changed, 107 insertions, 0 deletions
diff --git a/test/examples/complex/complex.lua b/test/examples/complex/complex.lua
new file mode 100644
index 00000000..a213a746
--- /dev/null
+++ b/test/examples/complex/complex.lua
@@ -0,0 +1,82 @@
+-- complex.lua
+-- complex arithmetic package for lua
+-- Luiz Henrique de Figueiredo (lhf@csg.uwaterloo.ca)
+-- 24 Oct 95
+$debug
+
+Complex={type="package"}
+
+function complex(x,y)
+ return { re=x, im=y, type="complex" }
+end
+
+function Complex.conj(x,y)
+ return complex(x.re,-x.im)
+end
+
+function Complex.norm2(x)
+ local n=Complex.mul(x,Complex.conj(x))
+ return n.re
+end
+
+function Complex.abs(x)
+ return sqrt(Complex.norm2(x))
+end
+
+function Complex.add(x,y)
+ return complex(x.re+y.re,x.im+y.im)
+end
+
+function Complex.sub(x,y)
+ return complex(x.re-y.re,x.im-y.im)
+end
+
+function Complex.mul(x,y)
+ return complex(x.re*y.re-x.im*y.im,x.re*y.im+x.im*y.re)
+end
+
+function Complex.div(x,y)
+ local z=x*Complex.conj(y)
+ local t=Complex.norm2(y)
+ z.re=z.re/t
+ z.im=z.im/t
+ return z
+end
+
+function Complex.fallback(x,y,op)
+ if type(x)=="number" then x=complex(x,0) end
+ if type(y)=="number" then y=complex(y,0) end
+ if type(x)=="complex" and type(y)=="complex" then
+ return Complex[op](x,y)
+ else
+ return Complex.oldfallback(x,y)
+ end
+end
+
+function Complex.newtype(x)
+ local t=Complex.oldtype(x)
+ if t=="table" and x.type then return x.type else return t end
+end
+
+function Complex.print(x)
+ if type(x)~="complex" then
+ Complex.oldprint(x)
+ else
+ local s
+ if x.im>=0 then s="+" else s="" end
+ Complex.oldprint(x.re..s..x.im.."I")
+ end
+end
+
+function Complex.newabs(x)
+ if type(x)~="complex" then
+ return Complex.oldabs(x)
+ else
+ return Complex.abs(x)
+ end
+end
+
+Complex.oldfallback=setfallback("arith",Complex.fallback)
+Complex.oldtype=type type=Complex.newtype
+Complex.oldprint=print print=Complex.print
+Complex.oldabs=abs abs=Complex.abs
diff --git a/test/examples/complex/mandel.lua b/test/examples/complex/mandel.lua
new file mode 100644
index 00000000..5e3d3eb6
--- /dev/null
+++ b/test/examples/complex/mandel.lua
@@ -0,0 +1,25 @@
+dofile("complex.lua")
+
+xmin=-2 xmax=2 ymin=-2 ymax=2
+d=.125
+
+function level(x,y)
+ local c=complex(x,y)
+ local l=0
+ local z=c
+ repeat
+ z=z*z+c
+ l=l+1
+ until abs(z)>2 or l>255
+ return l-1
+end
+
+x=xmin
+while x<xmax do
+ y=ymin
+ while y<ymax do
+ print(level(x,y))
+ y=y+d
+ end
+ x=x+d
+end