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* @progname trigtest.ll
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* @author Matt Emmerton
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* @description Tests functionality of trig-related functions.
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* Test trig and spherical distance calculations
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options("explicitvars")
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print("Simple Sine/Cosine/Tangent operations (degree->value)", nl())
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print("angle\tsin\tcos\ttan", nl())
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print(f(angle1), "\t", f(sin(angle1)), "\t", f(cos(angle1)), "\t", f(tan(angle1)), nl())
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print(f(angle2), "\t", f(sin(angle2)), "\t", f(cos(angle2)), "\t", f(tan(angle2)), nl())
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print(f(angle3a), "\t", f(sin(angle3a)), "\t", f(cos(angle3a)), "\t", f(tan(angle3a)), nl())
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print(f(angle3b), "\t", f(sin(angle3b)), "\t", f(cos(angle3b)), "\t", "N/A", nl())
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print(f(angle3c), "\t", f(sin(angle3c)), "\t", f(cos(angle3c)), "\t", f(tan(angle3c)), nl())
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print(f(angle4), "\t", f(sin(angle4)), "\t", f(cos(angle4)), "\t", f(tan(angle4)), nl())
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print(f(angle5), "\t", f(sin(angle5)), "\t", f(cos(angle5)), "\t", f(tan(angle5)), nl())
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print(f(angle6), "\t", f(sin(angle6)), "\t", f(cos(angle6)), "\t", f(tan(angle6)), nl())
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print(f(angle7a), "\t", f(sin(angle7a)), "\t", f(cos(angle7a)), "\t", f(tan(angle7a)), nl())
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print(f(angle7b), "\t", f(sin(angle7b)), "\t", f(cos(angle7b)), "\t", "N/A", nl())
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print(f(angle7c), "\t", f(sin(angle7c)), "\t", f(cos(angle7c)), "\t", f(tan(angle7c)), nl())
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print(f(angle8), "\t", f(sin(angle8)), "\t", f(cos(angle8)), "\t", f(tan(angle8)), nl())
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print(f(angle9), "\t", f(sin(angle9)), "\t", f(cos(angle9)), "\t", f(tan(angle9)), nl())
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print("Simple ArcSine/ArcCosine/ArcTangent operations (value->degree)", nl())
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print("value\tarcsin\tarccos\tarctan", nl())
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print(f(value1), "\t", f(arcsin(value1)), "\t", f(arccos(value1)), "\t", f(arctan(value1)), nl())
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print(f(value2), "\t", f(arcsin(value2)), "\t", f(arccos(value2)), "\t", f(arctan(value2)), nl())
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print(f(value3), "\t", f(arcsin(value3)), "\t", f(arccos(value3)), "\t", f(arctan(value3)), nl())
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print(f(value4), "\t", f(arcsin(value4)), "\t", f(arccos(value4)), "\t", f(arctan(value4)), nl())
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print(f(value5), "\t", f(arcsin(value5)), "\t", f(arccos(value5)), "\t", f(arctan(value5)), nl())
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print(f(value6), "\t", f(arcsin(value6)), "\t", f(arccos(value6)), "\t", f(arctan(value6)), nl())
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print(f(value7), "\t", f(arcsin(value7)), "\t", f(arccos(value7)), "\t", f(arctan(value7)), nl())
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print("Reflexive operations (arcOP(OP(degree)) == degree)", nl())
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print("NOTE: Due to the periodic nature of these functions, output degree values may be",nl())
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print("different than the input degree values.", nl())
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print("NOTE: Due to roundoff, values may be out by a value of one in the least significant place.", nl())
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print("angle\t\tarcsin(sin)\tarccos(cos)\tarctan(tan)", nl())
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print(f(angle1), "\t\t", f(arcsin(sin(angle1))), "\t\t", f(arccos(cos(angle1))), "\t\t", f(arctan(tan(angle1))), nl())
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print(f(angle2), "\t\t", f(arcsin(sin(angle2))), "\t\t", f(arccos(cos(angle2))), "\t\t", f(arctan(tan(angle2))), nl())
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print(f(angle3a), "\t\t", f(arcsin(sin(angle3a))), "\t\t", f(arccos(cos(angle3a))), "\t\t", f(arctan(tan(angle3a))), nl())
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print(f(angle3c), "\t\t", f(arcsin(sin(angle3c))), "\t\t", f(arccos(cos(angle3c))), "\t\t", f(arctan(tan(angle3c))), nl())
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print(f(angle4), "\t\t", f(arcsin(sin(angle4))), "\t\t", f(arccos(cos(angle4))), "\t\t", f(arctan(tan(angle4))), nl())
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print(f(angle5), "\t\t", f(arcsin(sin(angle5))), "\t\t", f(arccos(cos(angle5))), "\t\t", f(arctan(tan(angle5))), nl())
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print(f(angle6), "\t\t", f(arcsin(sin(angle6))), "\t\t", f(arccos(cos(angle6))), "\t\t", f(arctan(tan(angle6))), nl())
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print(f(angle7a), "\t\t", f(arcsin(sin(angle7a))), "\t\t", f(arccos(cos(angle7a))), "\t\t", f(arctan(tan(angle7a))), nl())
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print(f(angle7c), "\t\t", f(arcsin(sin(angle7c))), "\t\t", f(arccos(cos(angle7c))), "\t\t", f(arctan(tan(angle7c))), nl())
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print(f(angle8), "\t\t", f(arcsin(sin(angle8))), "\t\t", f(arccos(cos(angle8))), "\t\t", f(arctan(tan(angle8))), nl())
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print(f(angle9), "\t\t", f(arcsin(sin(angle9))), "\t\t", f(arccos(cos(angle9))), "\t\t", f(arctan(tan(angle9))), nl())
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print("Decimal Degrees to DMH Conversions", nl())
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dms2deg(deg1,min1,sec1,dec1)
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print(d(deg1), " degrees, ", d(min1), " minutes and ", d(sec1), " seconds = ", f(dec1), " degrees.", nl())
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deg2dms(dec1,deg1,min1,sec1)
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print(f(dec1), " degrees = ", d(deg1), " degrees, ", d(min1), " minutes and ", d(sec1), " seconds.", nl())
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print("Spherical Distance Calculations", nl())
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/* 43.410815 / 43^24'38" is my house (lat) */
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dms2deg(deg1,min1,sec1,dec1)
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/* -80.508982 / -80^30'32" is my house (lon) */
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dms2deg(deg2,min2,sec2,dec2)
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/* 44.101825 / 44^06'06" is my cottage (lat) */
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dms2deg(deg3,min3,sec3,dec3)
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/* -81.721931 / -81^43'18" is my cottage (lon) */
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dms2deg(deg4,min4,sec4,dec4)
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print("House Lat: ", d(deg1), " degrees, ", d(min1), " minutes and ", d(sec1), " seconds = ", f(dec1), " degrees.", nl())
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print("House Lon: ", d(deg2), " degrees, ", d(min2), " minutes and ", d(sec2), " seconds = ", f(dec2), " degrees.", nl())
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print("Cottage Lat: ", d(deg3), " degrees, ", d(min3), " minutes and ", d(sec3), " seconds = ", f(dec3), " degrees.", nl())
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print("Cottage Lon: ", d(deg4), " degrees, ", d(min4), " minutes and ", d(sec4), " seconds = ", f(dec4), " degrees.", nl())
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print("House to Cottage: ", f(spdist(dec1,dec2,dec3,dec4)), nl())
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print("House to Cottage (via roads, suggested by Google Maps: ", f(138.2))