/* sin - sine and cosine functions */ /* Based on the Yale CS "C" library. Coefficients are #3370 from Hart and Cheney (18.80D) Calls MODF */ extern double modf(); /* floating point modulus */ extern double itof(); /* integer to floating conversion */ static double twoopi = 0.63661977236758134308; static double p0 = 0.1357884097877375669092680e8; static double p1 = -.4942908100902844161158627e7; static double p2 = 0.4401030535375266501944918e6; static double p3 = -.1384727249982452873054457e5; static double p4 = 0.1459688406665768722226959e3; static double q0 = 0.8644558652922534429915149e7; static double q1 = 0.4081792252343299749395779e6; static double q2 = 0.9463096101538208180571257e4; static double q3 = 0.1326534908786136358911494e3; /* sinus - does the work for sine and cosine */ static double sinus(arg,quad) double arg; int quad; { double e,f; double ysq,x,y; int k; double temp1,temp2; x = arg; if (x < 0) { x = -x; quad += 2; } x = x*twoopi; if (x > 32764.) { y = modf(x,&e); e = e+ftoi(quad); modf(0.25*e,&f); quad = ftoi(e)-ftoi(4.0*f); } else { k = ftoi(x); y = x-itof(k); quad = (quad+k)&3; } if (quad&01) y = 1.0-y; if (quad > 1) y = -y; ysq = y*y; temp1 = ((((p4*ysq+p3)*ysq+p2)*ysq+p1)*ysq+p0)*y; temp2 = ((((ysq+q3)*ysq+q2)*ysq+q1)*ysq+q0); return(temp1/temp2); } /* the sine and cosine calls */ double cos(arg) double arg; { if (arg < 0.0) arg = -arg; return(sinus(arg,1)); } double sin(arg) double arg; { return(sinus(arg,0)); }