57 lines
4.5 KiB
C++
57 lines
4.5 KiB
C++
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#include "complex.h"
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static const double common_table [] = {
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+0.00000000, +0.02454123, +0.04906767, +0.07356456, +0.09801714, +0.12241068, +0.14673047, +0.17096189,
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+0.19509032, +0.21910124, +0.24298018, +0.26671276, +0.29028468, +0.31368174, +0.33688985, +0.35989504,
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+0.38268343, +0.40524131, +0.42755509, +0.44961133, +0.47139674, +0.49289819, +0.51410274, +0.53499762,
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+0.55557023, +0.57580819, +0.59569930, +0.61523159, +0.63439328, +0.65317284, +0.67155895, +0.68954054,
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+0.70710678, +0.72424708, +0.74095113, +0.75720885, +0.77301045, +0.78834643, +0.80320753, +0.81758481,
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+0.83146961, +0.84485357, +0.85772861, +0.87008699, +0.88192126, +0.89322430, +0.90398929, +0.91420976,
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+0.92387953, +0.93299280, +0.94154407, +0.94952818, +0.95694034, +0.96377607, +0.97003125, +0.97570213,
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+0.98078528, +0.98527764, +0.98917651, +0.99247953, +0.99518473, +0.99729046, +0.99879546, +0.99969882,
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+1.00000000, +0.99969882, +0.99879546, +0.99729046, +0.99518473, +0.99247953, +0.98917651, +0.98527764,
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+0.98078528, +0.97570213, +0.97003125, +0.96377607, +0.95694034, +0.94952818, +0.94154407, +0.93299280,
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+0.92387953, +0.91420976, +0.90398929, +0.89322430, +0.88192126, +0.87008699, +0.85772861, +0.84485357,
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+0.83146961, +0.81758481, +0.80320753, +0.78834643, +0.77301045, +0.75720885, +0.74095113, +0.72424708,
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+0.70710678, +0.68954054, +0.67155895, +0.65317284, +0.63439328, +0.61523159, +0.59569930, +0.57580819,
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+0.55557023, +0.53499762, +0.51410274, +0.49289819, +0.47139674, +0.44961133, +0.42755509, +0.40524131,
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+0.38268343, +0.35989504, +0.33688985, +0.31368174, +0.29028468, +0.26671276, +0.24298018, +0.21910124,
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+0.19509032, +0.17096189, +0.14673047, +0.12241068, +0.09801714, +0.07356456, +0.04906767, +0.02454123,
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+0.00000000, -0.02454123, -0.04906767, -0.07356456, -0.09801714, -0.12241068, -0.14673047, -0.17096189,
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-0.19509032, -0.21910124, -0.24298018, -0.26671276, -0.29028468, -0.31368174, -0.33688985, -0.35989504,
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-0.38268343, -0.40524131, -0.42755509, -0.44961133, -0.47139674, -0.49289819, -0.51410274, -0.53499762,
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-0.55557023, -0.57580819, -0.59569930, -0.61523159, -0.63439328, -0.65317284, -0.67155895, -0.68954054,
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-0.70710678, -0.72424708, -0.74095113, -0.75720885, -0.77301045, -0.78834643, -0.80320753, -0.81758481,
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-0.83146961, -0.84485357, -0.85772861, -0.87008699, -0.88192126, -0.89322430, -0.90398929, -0.91420976,
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-0.92387953, -0.93299280, -0.94154407, -0.94952818, -0.95694034, -0.96377607, -0.97003125, -0.97570213,
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-0.98078528, -0.98527764, -0.98917651, -0.99247953, -0.99518473, -0.99729046, -0.99879546, -0.99969882,
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-1.00000000, -0.99969882, -0.99879546, -0.99729046, -0.99518473, -0.99247953, -0.98917651, -0.98527764,
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-0.98078528, -0.97570213, -0.97003125, -0.96377607, -0.95694034, -0.94952818, -0.94154407, -0.93299280,
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-0.92387953, -0.91420976, -0.90398929, -0.89322430, -0.88192126, -0.87008699, -0.85772861, -0.84485357,
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-0.83146961, -0.81758481, -0.80320753, -0.78834643, -0.77301045, -0.75720885, -0.74095113, -0.72424708,
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-0.70710678, -0.68954054, -0.67155895, -0.65317284, -0.63439328, -0.61523159, -0.59569930, -0.57580819,
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-0.55557023, -0.53499762, -0.51410274, -0.49289819, -0.47139674, -0.44961133, -0.42755509, -0.40524131,
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-0.38268343, -0.35989504, -0.33688985, -0.31368174, -0.29028468, -0.26671276, -0.24298018, -0.21910124,
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-0.19509032, -0.17096189, -0.14673047, -0.12241068, -0.09801714, -0.07356456, -0.04906767, -0.02454123,
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-0.00000000, +0.02454123, +0.04906767, +0.07356456, +0.09801714, +0.12241068, +0.14673047, +0.17096189,
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+0.19509032, +0.21910124, +0.24298018, +0.26671276, +0.29028468, +0.31368174, +0.33688985, +0.35989504,
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+0.38268343, +0.40524131, +0.42755509, +0.44961133, +0.47139674, +0.49289819, +0.51410274, +0.53499762,
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+0.55557023, +0.57580819, +0.59569930, +0.61523159, +0.63439328, +0.65317284, +0.67155895, +0.68954054,
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+0.70710678, +0.72424708, +0.74095113, +0.75720885, +0.77301045, +0.78834643, +0.80320753, +0.81758481,
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+0.83146961, +0.84485357, +0.85772861, +0.87008699, +0.88192126, +0.89322430, +0.90398929, +0.91420976,
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+0.92387953, +0.93299280, +0.94154407, +0.94952818, +0.95694034, +0.96377607, +0.97003125, +0.97570213,
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+0.98078528, +0.98527764, +0.98917651, +0.99247953, +0.99518473, +0.99729046, +0.99879546, +0.99969882
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};
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static const double * sintab = common_table;
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static const double * costab = common_table + 64;
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complex::complex(const double x, const double y) : re(x), im(y) {
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}
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complex & complex::exp (const unsigned int n) {
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const unsigned a = n & 0xFF;
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re = costab [a];
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im = sintab [a];
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return * this;
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}
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