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105 lines
3.0 KiB
Lua
105 lines
3.0 KiB
Lua
--[[
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* Copyright (C) Rich Moore. All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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*
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* THIS SOFTWARE IS PROVIDED BY CONTRIBUTORS ``AS IS'' AND ANY
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* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL APPLE INC. OR
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* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
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* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
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* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
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* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
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* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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]]
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local bench = script and require(script.Parent.bench_support) or require("bench_support")
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function test()
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--. Start CORDIC
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local AG_CONST = 0.6072529350;
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function FIXED(X)
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return X * 65536.0;
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end
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function FLOAT(X)
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return X / 65536.0;
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end
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function DEG2RAD(X)
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return 0.017453 * (X);
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end
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local Angles = {
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FIXED(45.0), FIXED(26.565), FIXED(14.0362), FIXED(7.12502),
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FIXED(3.57633), FIXED(1.78991), FIXED(0.895174), FIXED(0.447614),
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FIXED(0.223811), FIXED(0.111906), FIXED(0.055953),
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FIXED(0.027977)
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};
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local Target = 28.027;
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function cordicsincos(Target)
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local X;
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local Y;
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local TargetAngle;
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local CurrAngle;
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X = FIXED(AG_CONST); -- AG_CONST * cos(0)
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Y = 0; -- AG_CONST * sin(0)
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TargetAngle = FIXED(Target);
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CurrAngle = 0;
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for Step = 0,11 do
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local NewX;
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if (TargetAngle > CurrAngle) then
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NewX = X - bit32.rshift(math.floor(Y), Step) -- (Y >> Step);
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Y = bit32.rshift(math.floor(X), Step) + Y;
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X = NewX;
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CurrAngle = CurrAngle + Angles[Step + 1];
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else
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NewX = X + bit32.rshift(math.floor(Y), Step)
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Y = -bit32.rshift(math.floor(X), Step) + Y;
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X = NewX;
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CurrAngle = CurrAngle - Angles[Step + 1];
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end
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end
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return FLOAT(X) * FLOAT(Y);
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end
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-- End CORDIC
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local total = 0;
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function cordic( runs )
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for i = 1,runs do
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total = total + cordicsincos(Target);
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end
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end
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cordic(25000);
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local expected = 10362.570468755888;
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if (total ~= expected) then
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assert(false, "ERROR: bad result: expected " .. expected .. " but got " .. total);
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end
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end
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bench.runCode(test, "math-cordic")
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