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sindg
Circular sine of an angle in degrees.SYNOPSIS:
double x, y, sindg();
y = sindg(x);
DESCRIPTION:
Range reduction is into intervals of 45 degrees. Two polynomial approximating functions are employed.
Between 0 and pi/4 the sine is approximated by:
x + x**3 P(x**2).
Between pi/4 and pi/2 the cosine is represented as:
1 - x**2 P(x**2).
ACCURACY:
Relative error:
arithmetic domain # trials peak rms
DEC +-1000 3100 3.3e-17 9.0e-18
IEEE +-1000 30000 2.3e-16 5.6e-17
ERROR MESSAGES:
message condition value returned
total loss x > 8.0e14 (DEC) 0.0
x > 1.0e14 (IEEE)