#include #include #include #include #include char *name = "Midpoint on a great circle"; double f_if(float lambda1, float lambda2, float phi1, float phi2) { float r22187 = lambda1; float r22188 = phi2; float r22189 = cos(r22188); float r22190 = lambda2; float r22191 = r22187 - r22190; float r22192 = sin(r22191); float r22193 = r22189 * r22192; float r22194 = phi1; float r22195 = cos(r22194); float r22196 = cos(r22191); float r22197 = r22189 * r22196; float r22198 = r22195 + r22197; float r22199 = atan2(r22193, r22198); float r22200 = r22187 + r22199; return r22200; } double f_id(double lambda1, double lambda2, double phi1, double phi2) { double r22201 = lambda1; double r22202 = phi2; double r22203 = cos(r22202); double r22204 = lambda2; double r22205 = r22201 - r22204; double r22206 = sin(r22205); double r22207 = r22203 * r22206; double r22208 = phi1; double r22209 = cos(r22208); double r22210 = cos(r22205); double r22211 = r22203 * r22210; double r22212 = r22209 + r22211; double r22213 = atan2(r22207, r22212); double r22214 = r22201 + r22213; return r22214; } double f_of(float lambda1, float lambda2, float phi1, float phi2) { float r22215 = lambda1; float r22216 = phi2; float r22217 = cos(r22216); float r22218 = sin(r22215); float r22219 = lambda2; float r22220 = cos(r22219); float r22221 = r22218 * r22220; float r22222 = cos(r22215); float r22223 = -r22219; float r22224 = sin(r22223); float r22225 = r22222 * r22224; float r22226 = r22221 + r22225; float r22227 = r22217 * r22226; float r22228 = phi1; float r22229 = cos(r22228); float r22230 = r22222 * r22220; float r22231 = r22218 * r22224; float r22232 = r22230 - r22231; float r22233 = r22217 * r22232; float r22234 = r22229 + r22233; float r22235 = atan2(r22227, r22234); float r22236 = r22215 + r22235; return r22236; } double f_od(double lambda1, double lambda2, double phi1, double phi2) { double r22237 = lambda1; double r22238 = phi2; double r22239 = cos(r22238); double r22240 = sin(r22237); double r22241 = lambda2; double r22242 = cos(r22241); double r22243 = r22240 * r22242; double r22244 = cos(r22237); double r22245 = -r22241; double r22246 = sin(r22245); double r22247 = r22244 * r22246; double r22248 = r22243 + r22247; double r22249 = r22239 * r22248; double r22250 = phi1; double r22251 = cos(r22250); double r22252 = r22244 * r22242; double r22253 = r22240 * r22246; double r22254 = r22252 - r22253; double r22255 = r22239 * r22254; double r22256 = r22251 + r22255; double r22257 = atan2(r22249, r22256); double r22258 = r22237 + r22257; return r22258; } void mpfr_fmod2(mpfr_t r, mpfr_t n, mpfr_t d, mpfr_rnd_t rmd) { mpfr_fmod(r, n, d, rmd); if (mpfr_cmp_ui(r, 0) < 0) mpfr_add(r, r, d, rmd); } static mpfr_t r22259, r22260, r22261, r22262, r22263, r22264, r22265, r22266, r22267, r22268, r22269, r22270, r22271, r22272; void setup_mpfr_f_im() { mpfr_set_default_prec(1424); mpfr_init(r22259); mpfr_init(r22260); mpfr_init(r22261); mpfr_init(r22262); mpfr_init(r22263); mpfr_init(r22264); mpfr_init(r22265); mpfr_init(r22266); mpfr_init(r22267); mpfr_init(r22268); mpfr_init(r22269); mpfr_init(r22270); mpfr_init(r22271); mpfr_init(r22272); } double f_im(double lambda1, double lambda2, double phi1, double phi2) { mpfr_set_d(r22259, lambda1, MPFR_RNDN); mpfr_set_d(r22260, phi2, MPFR_RNDN); mpfr_cos(r22261, r22260, MPFR_RNDN); mpfr_set_d(r22262, lambda2, MPFR_RNDN); mpfr_sub(r22263, r22259, r22262, MPFR_RNDN); mpfr_sin(r22264, r22263, MPFR_RNDN); mpfr_mul(r22265, r22261, r22264, MPFR_RNDN); mpfr_set_d(r22266, phi1, MPFR_RNDN); mpfr_cos(r22267, r22266, MPFR_RNDN); mpfr_cos(r22268, r22263, MPFR_RNDN); mpfr_mul(r22269, r22261, r22268, MPFR_RNDN); mpfr_add(r22270, r22267, r22269, MPFR_RNDN); mpfr_atan2(r22271, r22265, r22270, MPFR_RNDN); mpfr_add(r22272, r22259, r22271, MPFR_RNDN); return mpfr_get_d(r22272, MPFR_RNDN); } static mpfr_t r22273, r22274, r22275, r22276, r22277, r22278, r22279, r22280, r22281, r22282, r22283, r22284, r22285, r22286, r22287, r22288, r22289, r22290, r22291, r22292, r22293, r22294; void setup_mpfr_f_fm() { mpfr_set_default_prec(1424); mpfr_init(r22273); mpfr_init(r22274); mpfr_init(r22275); mpfr_init(r22276); mpfr_init(r22277); mpfr_init(r22278); mpfr_init(r22279); mpfr_init(r22280); mpfr_init(r22281); mpfr_init(r22282); mpfr_init(r22283); mpfr_init(r22284); mpfr_init(r22285); mpfr_init(r22286); mpfr_init(r22287); mpfr_init(r22288); mpfr_init(r22289); mpfr_init(r22290); mpfr_init(r22291); mpfr_init(r22292); mpfr_init(r22293); mpfr_init(r22294); } double f_fm(double lambda1, double lambda2, double phi1, double phi2) { mpfr_set_d(r22273, lambda1, MPFR_RNDN); mpfr_set_d(r22274, phi2, MPFR_RNDN); mpfr_cos(r22275, r22274, MPFR_RNDN); mpfr_sin(r22276, r22273, MPFR_RNDN); mpfr_set_d(r22277, lambda2, MPFR_RNDN); mpfr_cos(r22278, r22277, MPFR_RNDN); mpfr_mul(r22279, r22276, r22278, MPFR_RNDN); mpfr_cos(r22280, r22273, MPFR_RNDN); mpfr_neg(r22281, r22277, MPFR_RNDN); mpfr_sin(r22282, r22281, MPFR_RNDN); mpfr_mul(r22283, r22280, r22282, MPFR_RNDN); mpfr_add(r22284, r22279, r22283, MPFR_RNDN); mpfr_mul(r22285, r22275, r22284, MPFR_RNDN); mpfr_set_d(r22286, phi1, MPFR_RNDN); mpfr_cos(r22287, r22286, MPFR_RNDN); mpfr_mul(r22288, r22280, r22278, MPFR_RNDN); mpfr_mul(r22289, r22276, r22282, MPFR_RNDN); mpfr_sub(r22290, r22288, r22289, MPFR_RNDN); mpfr_mul(r22291, r22275, r22290, MPFR_RNDN); mpfr_add(r22292, r22287, r22291, MPFR_RNDN); mpfr_atan2(r22293, r22285, r22292, MPFR_RNDN); mpfr_add(r22294, r22273, r22293, MPFR_RNDN); return mpfr_get_d(r22294, MPFR_RNDN); } static mpfr_t r22295, r22296, r22297, r22298, r22299, r22300, r22301, r22302, r22303, r22304, r22305, r22306, r22307, r22308, r22309, r22310, r22311, r22312, r22313, r22314, r22315, r22316; void setup_mpfr_f_dm() { mpfr_set_default_prec(1424); mpfr_init(r22295); mpfr_init(r22296); mpfr_init(r22297); mpfr_init(r22298); mpfr_init(r22299); mpfr_init(r22300); mpfr_init(r22301); mpfr_init(r22302); mpfr_init(r22303); mpfr_init(r22304); mpfr_init(r22305); mpfr_init(r22306); mpfr_init(r22307); mpfr_init(r22308); mpfr_init(r22309); mpfr_init(r22310); mpfr_init(r22311); mpfr_init(r22312); mpfr_init(r22313); mpfr_init(r22314); mpfr_init(r22315); mpfr_init(r22316); } double f_dm(double lambda1, double lambda2, double phi1, double phi2) { mpfr_set_d(r22295, lambda1, MPFR_RNDN); mpfr_set_d(r22296, phi2, MPFR_RNDN); mpfr_cos(r22297, r22296, MPFR_RNDN); mpfr_sin(r22298, r22295, MPFR_RNDN); mpfr_set_d(r22299, lambda2, MPFR_RNDN); mpfr_cos(r22300, r22299, MPFR_RNDN); mpfr_mul(r22301, r22298, r22300, MPFR_RNDN); mpfr_cos(r22302, r22295, MPFR_RNDN); mpfr_neg(r22303, r22299, MPFR_RNDN); mpfr_sin(r22304, r22303, MPFR_RNDN); mpfr_mul(r22305, r22302, r22304, MPFR_RNDN); mpfr_add(r22306, r22301, r22305, MPFR_RNDN); mpfr_mul(r22307, r22297, r22306, MPFR_RNDN); mpfr_set_d(r22308, phi1, MPFR_RNDN); mpfr_cos(r22309, r22308, MPFR_RNDN); mpfr_mul(r22310, r22302, r22300, MPFR_RNDN); mpfr_mul(r22311, r22298, r22304, MPFR_RNDN); mpfr_sub(r22312, r22310, r22311, MPFR_RNDN); mpfr_mul(r22313, r22297, r22312, MPFR_RNDN); mpfr_add(r22314, r22309, r22313, MPFR_RNDN); mpfr_atan2(r22315, r22307, r22314, MPFR_RNDN); mpfr_add(r22316, r22295, r22315, MPFR_RNDN); return mpfr_get_d(r22316, MPFR_RNDN); }