#include #include #include #include #include char *name = "Toniolo and Linder, Equation (3a)"; double f_if(float l, float Om, float kx, float ky) { float r24109 = 1; float r24110 = 2; float r24111 = r24109 / r24110; float r24112 = l; float r24113 = r24110 * r24112; float r24114 = Om; float r24115 = r24113 / r24114; float r24116 = pow(r24115, r24110); float r24117 = kx; float r24118 = sin(r24117); float r24119 = pow(r24118, r24110); float r24120 = ky; float r24121 = sin(r24120); float r24122 = pow(r24121, r24110); float r24123 = r24119 + r24122; float r24124 = r24116 * r24123; float r24125 = r24109 + r24124; float r24126 = sqrt(r24125); float r24127 = r24109 / r24126; float r24128 = r24109 + r24127; float r24129 = r24111 * r24128; float r24130 = sqrt(r24129); return r24130; } double f_id(double l, double Om, double kx, double ky) { double r24131 = 1; double r24132 = 2; double r24133 = r24131 / r24132; double r24134 = l; double r24135 = r24132 * r24134; double r24136 = Om; double r24137 = r24135 / r24136; double r24138 = pow(r24137, r24132); double r24139 = kx; double r24140 = sin(r24139); double r24141 = pow(r24140, r24132); double r24142 = ky; double r24143 = sin(r24142); double r24144 = pow(r24143, r24132); double r24145 = r24141 + r24144; double r24146 = r24138 * r24145; double r24147 = r24131 + r24146; double r24148 = sqrt(r24147); double r24149 = r24131 / r24148; double r24150 = r24131 + r24149; double r24151 = r24133 * r24150; double r24152 = sqrt(r24151); return r24152; } double f_of(float l, float Om, float kx, float ky) { float r24153 = ky; float r24154 = -1.0941952882186937e-120; bool r24155 = r24153 <= r24154; float r24156 = 1; float r24157 = 2; float r24158 = r24156 / r24157; float r24159 = l; float r24160 = r24157 * r24159; float r24161 = Om; float r24162 = r24160 / r24161; float r24163 = pow(r24162, r24157); float r24164 = kx; float r24165 = sin(r24164); float r24166 = pow(r24165, r24157); float r24167 = sin(r24153); float r24168 = pow(r24167, r24157); float r24169 = r24166 + r24168; float r24170 = r24163 * r24169; float r24171 = r24156 + r24170; float r24172 = sqrt(r24171); float r24173 = r24156 / r24172; float r24174 = r24156 + r24173; float r24175 = r24158 * r24174; float r24176 = sqrt(r24175); float r24177 = 3.9231890588882945e-226; bool r24178 = r24153 <= r24177; float r24179 = r24156 / r24153; float r24180 = sin(r24179); float r24181 = pow(r24180, r24157); float r24182 = r24166 + r24181; float r24183 = r24163 * r24182; float r24184 = r24156 + r24183; float r24185 = sqrt(r24184); float r24186 = r24156 / r24185; float r24187 = r24156 + r24186; float r24188 = r24158 * r24187; float r24189 = sqrt(r24188); float r24190 = r24178 ? r24189 : r24176; float r24191 = r24155 ? r24176 : r24190; return r24191; } double f_od(double l, double Om, double kx, double ky) { double r24192 = ky; double r24193 = -1.0941952882186937e-120; bool r24194 = r24192 <= r24193; double r24195 = 1; double r24196 = 2; double r24197 = r24195 / r24196; double r24198 = l; double r24199 = r24196 * r24198; double r24200 = Om; double r24201 = r24199 / r24200; double r24202 = pow(r24201, r24196); double r24203 = kx; double r24204 = sin(r24203); double r24205 = pow(r24204, r24196); double r24206 = sin(r24192); double r24207 = pow(r24206, r24196); double r24208 = r24205 + r24207; double r24209 = r24202 * r24208; double r24210 = r24195 + r24209; double r24211 = sqrt(r24210); double r24212 = r24195 / r24211; double r24213 = r24195 + r24212; double r24214 = r24197 * r24213; double r24215 = sqrt(r24214); double r24216 = 3.9231890588882945e-226; bool r24217 = r24192 <= r24216; double r24218 = r24195 / r24192; double r24219 = sin(r24218); double r24220 = pow(r24219, r24196); double r24221 = r24205 + r24220; double r24222 = r24202 * r24221; double r24223 = r24195 + r24222; double r24224 = sqrt(r24223); double r24225 = r24195 / r24224; double r24226 = r24195 + r24225; double r24227 = r24197 * r24226; double r24228 = sqrt(r24227); double r24229 = r24217 ? r24228 : r24215; double r24230 = r24194 ? r24215 : r24229; return r24230; } 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 r24231, r24232, r24233, r24234, r24235, r24236, r24237, r24238, r24239, r24240, r24241, r24242, r24243, r24244, r24245, r24246, r24247, r24248, r24249, r24250, r24251, r24252; void setup_mpfr_f_im() { mpfr_set_default_prec(1424); mpfr_init_set_str(r24231, "1", 10, MPFR_RNDN); mpfr_init_set_str(r24232, "2", 10, MPFR_RNDN); mpfr_init(r24233); mpfr_init(r24234); mpfr_init(r24235); mpfr_init(r24236); mpfr_init(r24237); mpfr_init(r24238); mpfr_init(r24239); mpfr_init(r24240); mpfr_init(r24241); mpfr_init(r24242); mpfr_init(r24243); mpfr_init(r24244); mpfr_init(r24245); mpfr_init(r24246); mpfr_init(r24247); mpfr_init(r24248); mpfr_init(r24249); mpfr_init(r24250); mpfr_init(r24251); mpfr_init(r24252); } double f_im(double l, double Om, double kx, double ky) { ; ; mpfr_div(r24233, r24231, r24232, MPFR_RNDN); mpfr_set_d(r24234, l, MPFR_RNDN); mpfr_mul(r24235, r24232, r24234, MPFR_RNDN); mpfr_set_d(r24236, Om, MPFR_RNDN); mpfr_div(r24237, r24235, r24236, MPFR_RNDN); mpfr_pow(r24238, r24237, r24232, MPFR_RNDN); mpfr_set_d(r24239, kx, MPFR_RNDN); mpfr_sin(r24240, r24239, MPFR_RNDN); mpfr_pow(r24241, r24240, r24232, MPFR_RNDN); mpfr_set_d(r24242, ky, MPFR_RNDN); mpfr_sin(r24243, r24242, MPFR_RNDN); mpfr_pow(r24244, r24243, r24232, MPFR_RNDN); mpfr_add(r24245, r24241, r24244, MPFR_RNDN); mpfr_mul(r24246, r24238, r24245, MPFR_RNDN); mpfr_add(r24247, r24231, r24246, MPFR_RNDN); mpfr_sqrt(r24248, r24247, MPFR_RNDN); mpfr_div(r24249, r24231, r24248, MPFR_RNDN); mpfr_add(r24250, r24231, r24249, MPFR_RNDN); mpfr_mul(r24251, r24233, r24250, MPFR_RNDN); mpfr_sqrt(r24252, r24251, MPFR_RNDN); return mpfr_get_d(r24252, MPFR_RNDN); } static mpfr_t r24253, r24254, r24255, r24256, r24257, r24258, r24259, r24260, r24261, r24262, r24263, r24264, r24265, r24266, r24267, r24268, r24269, r24270, r24271, r24272, r24273, r24274, r24275, r24276, r24277, r24278, r24279, r24280, r24281, r24282, r24283, r24284, r24285, r24286, r24287, r24288, r24289, r24290, r24291; void setup_mpfr_f_fm() { mpfr_set_default_prec(1424); mpfr_init(r24253); mpfr_init_set_str(r24254, "-1.0941952882186937e-120", 10, MPFR_RNDN); mpfr_init(r24255); mpfr_init_set_str(r24256, "1", 10, MPFR_RNDN); mpfr_init_set_str(r24257, "2", 10, MPFR_RNDN); mpfr_init(r24258); mpfr_init(r24259); mpfr_init(r24260); mpfr_init(r24261); mpfr_init(r24262); mpfr_init(r24263); mpfr_init(r24264); mpfr_init(r24265); mpfr_init(r24266); mpfr_init(r24267); mpfr_init(r24268); mpfr_init(r24269); mpfr_init(r24270); mpfr_init(r24271); mpfr_init(r24272); mpfr_init(r24273); mpfr_init(r24274); mpfr_init(r24275); mpfr_init(r24276); mpfr_init_set_str(r24277, "3.9231890588882945e-226", 10, MPFR_RNDN); mpfr_init(r24278); mpfr_init(r24279); mpfr_init(r24280); mpfr_init(r24281); mpfr_init(r24282); mpfr_init(r24283); mpfr_init(r24284); mpfr_init(r24285); mpfr_init(r24286); mpfr_init(r24287); mpfr_init(r24288); mpfr_init(r24289); mpfr_init(r24290); mpfr_init(r24291); } double f_fm(double l, double Om, double kx, double ky) { mpfr_set_d(r24253, ky, MPFR_RNDN); ; mpfr_set_si(r24255, mpfr_cmp(r24253, r24254) <= 0, MPFR_RNDN); ; ; mpfr_div(r24258, r24256, r24257, MPFR_RNDN); mpfr_set_d(r24259, l, MPFR_RNDN); mpfr_mul(r24260, r24257, r24259, MPFR_RNDN); mpfr_set_d(r24261, Om, MPFR_RNDN); mpfr_div(r24262, r24260, r24261, MPFR_RNDN); mpfr_pow(r24263, r24262, r24257, MPFR_RNDN); mpfr_set_d(r24264, kx, MPFR_RNDN); mpfr_sin(r24265, r24264, MPFR_RNDN); mpfr_pow(r24266, r24265, r24257, MPFR_RNDN); mpfr_sin(r24267, r24253, MPFR_RNDN); mpfr_pow(r24268, r24267, r24257, MPFR_RNDN); mpfr_add(r24269, r24266, r24268, MPFR_RNDN); mpfr_mul(r24270, r24263, r24269, MPFR_RNDN); mpfr_add(r24271, r24256, r24270, MPFR_RNDN); mpfr_sqrt(r24272, r24271, MPFR_RNDN); mpfr_div(r24273, r24256, r24272, MPFR_RNDN); mpfr_add(r24274, r24256, r24273, MPFR_RNDN); mpfr_mul(r24275, r24258, r24274, MPFR_RNDN); mpfr_sqrt(r24276, r24275, MPFR_RNDN); ; mpfr_set_si(r24278, mpfr_cmp(r24253, r24277) <= 0, MPFR_RNDN); mpfr_div(r24279, r24256, r24253, MPFR_RNDN); mpfr_sin(r24280, r24279, MPFR_RNDN); mpfr_pow(r24281, r24280, r24257, MPFR_RNDN); mpfr_add(r24282, r24266, r24281, MPFR_RNDN); mpfr_mul(r24283, r24263, r24282, MPFR_RNDN); mpfr_add(r24284, r24256, r24283, MPFR_RNDN); mpfr_sqrt(r24285, r24284, MPFR_RNDN); mpfr_div(r24286, r24256, r24285, MPFR_RNDN); mpfr_add(r24287, r24256, r24286, MPFR_RNDN); mpfr_mul(r24288, r24258, r24287, MPFR_RNDN); mpfr_sqrt(r24289, r24288, MPFR_RNDN); if (mpfr_get_si(r24278, MPFR_RNDN)) { mpfr_set(r24290, r24289, MPFR_RNDN); } else { mpfr_set(r24290, r24276, MPFR_RNDN); }; if (mpfr_get_si(r24255, MPFR_RNDN)) { mpfr_set(r24291, r24276, MPFR_RNDN); } else { mpfr_set(r24291, r24290, MPFR_RNDN); }; return mpfr_get_d(r24291, MPFR_RNDN); } static mpfr_t r24292, r24293, r24294, r24295, r24296, r24297, r24298, r24299, r24300, r24301, r24302, r24303, r24304, r24305, r24306, r24307, r24308, r24309, r24310, r24311, r24312, r24313, r24314, r24315, r24316, r24317, r24318, r24319, r24320, r24321, r24322, r24323, r24324, r24325, r24326, r24327, r24328, r24329, r24330; void setup_mpfr_f_dm() { mpfr_set_default_prec(1424); mpfr_init(r24292); mpfr_init_set_str(r24293, "-1.0941952882186937e-120", 10, MPFR_RNDN); mpfr_init(r24294); mpfr_init_set_str(r24295, "1", 10, MPFR_RNDN); mpfr_init_set_str(r24296, "2", 10, MPFR_RNDN); mpfr_init(r24297); mpfr_init(r24298); mpfr_init(r24299); mpfr_init(r24300); mpfr_init(r24301); mpfr_init(r24302); mpfr_init(r24303); mpfr_init(r24304); mpfr_init(r24305); mpfr_init(r24306); mpfr_init(r24307); mpfr_init(r24308); mpfr_init(r24309); mpfr_init(r24310); mpfr_init(r24311); mpfr_init(r24312); mpfr_init(r24313); mpfr_init(r24314); mpfr_init(r24315); mpfr_init_set_str(r24316, "3.9231890588882945e-226", 10, MPFR_RNDN); mpfr_init(r24317); mpfr_init(r24318); mpfr_init(r24319); mpfr_init(r24320); mpfr_init(r24321); mpfr_init(r24322); mpfr_init(r24323); mpfr_init(r24324); mpfr_init(r24325); mpfr_init(r24326); mpfr_init(r24327); mpfr_init(r24328); mpfr_init(r24329); mpfr_init(r24330); } double f_dm(double l, double Om, double kx, double ky) { mpfr_set_d(r24292, ky, MPFR_RNDN); ; mpfr_set_si(r24294, mpfr_cmp(r24292, r24293) <= 0, MPFR_RNDN); ; ; mpfr_div(r24297, r24295, r24296, MPFR_RNDN); mpfr_set_d(r24298, l, MPFR_RNDN); mpfr_mul(r24299, r24296, r24298, MPFR_RNDN); mpfr_set_d(r24300, Om, MPFR_RNDN); mpfr_div(r24301, r24299, r24300, MPFR_RNDN); mpfr_pow(r24302, r24301, r24296, MPFR_RNDN); mpfr_set_d(r24303, kx, MPFR_RNDN); mpfr_sin(r24304, r24303, MPFR_RNDN); mpfr_pow(r24305, r24304, r24296, MPFR_RNDN); mpfr_sin(r24306, r24292, MPFR_RNDN); mpfr_pow(r24307, r24306, r24296, MPFR_RNDN); mpfr_add(r24308, r24305, r24307, MPFR_RNDN); mpfr_mul(r24309, r24302, r24308, MPFR_RNDN); mpfr_add(r24310, r24295, r24309, MPFR_RNDN); mpfr_sqrt(r24311, r24310, MPFR_RNDN); mpfr_div(r24312, r24295, r24311, MPFR_RNDN); mpfr_add(r24313, r24295, r24312, MPFR_RNDN); mpfr_mul(r24314, r24297, r24313, MPFR_RNDN); mpfr_sqrt(r24315, r24314, MPFR_RNDN); ; mpfr_set_si(r24317, mpfr_cmp(r24292, r24316) <= 0, MPFR_RNDN); mpfr_div(r24318, r24295, r24292, MPFR_RNDN); mpfr_sin(r24319, r24318, MPFR_RNDN); mpfr_pow(r24320, r24319, r24296, MPFR_RNDN); mpfr_add(r24321, r24305, r24320, MPFR_RNDN); mpfr_mul(r24322, r24302, r24321, MPFR_RNDN); mpfr_add(r24323, r24295, r24322, MPFR_RNDN); mpfr_sqrt(r24324, r24323, MPFR_RNDN); mpfr_div(r24325, r24295, r24324, MPFR_RNDN); mpfr_add(r24326, r24295, r24325, MPFR_RNDN); mpfr_mul(r24327, r24297, r24326, MPFR_RNDN); mpfr_sqrt(r24328, r24327, MPFR_RNDN); if (mpfr_get_si(r24317, MPFR_RNDN)) { mpfr_set(r24329, r24328, MPFR_RNDN); } else { mpfr_set(r24329, r24315, MPFR_RNDN); }; if (mpfr_get_si(r24294, MPFR_RNDN)) { mpfr_set(r24330, r24315, MPFR_RNDN); } else { mpfr_set(r24330, r24329, MPFR_RNDN); }; return mpfr_get_d(r24330, MPFR_RNDN); }