diff options
| author | jthorn <jthorn@f88db872-0e4f-0410-b76b-b9085cfa78c5> | 2002-11-21 20:39:51 +0000 |
|---|---|---|
| committer | jthorn <jthorn@f88db872-0e4f-0410-b76b-b9085cfa78c5> | 2002-11-21 20:39:51 +0000 |
| commit | 03bd2968bc2cafe03a4d76c3609526bd23896a0f (patch) | |
| tree | e53cca7d80221f9157510fdacf982cd4fb504273 /src/gr.cg | |
| parent | 47f5db5fc54dfed7c03e6d5264a25ee02e382347 (diff) | |
change in terminology/notation:
LHS of apparent horizon equation was formerly called $H$,
changed to $\Theta$ because it is in fact precisely the expansion
of the surface r = h(angle).
This implies renaming a lot of variables & functions & a few parameters
(which aren't specified in most par files outside my own for testing this thorn)
git-svn-id: http://svn.einsteintoolkit.org/cactus/EinsteinAnalysis/AHFinderDirect/trunk@901 f88db872-0e4f-0410-b76b-b9085cfa78c5
Diffstat (limited to 'src/gr.cg')
| -rw-r--r-- | src/gr.cg/expansion.c | 182 | ||||
| -rw-r--r-- | src/gr.cg/expansion_Jacobian.c | 628 | ||||
| -rw-r--r-- | src/gr.cg/horizon_Jacobian.c | 625 | ||||
| -rw-r--r-- | src/gr.cg/horizon_function.c | 182 |
4 files changed, 810 insertions, 807 deletions
diff --git a/src/gr.cg/expansion.c b/src/gr.cg/expansion.c new file mode 100644 index 0000000..65f3677 --- /dev/null +++ b/src/gr.cg/expansion.c @@ -0,0 +1,182 @@ +/* + * inputs = {r, partial_d_ln_sqrt_g, partial_d_g_uu, X_ud, X_udd, g_uu, K_uu, h} + * outputs = {Theta_A, Theta_B, Theta_C, Theta_D} + * cost = 134*assignments+401*multiplications+3*divisions+5*functions+173*additions + */ +fp t1, t2, t3, t5, t6, t8, t9, t11, t12, t14; +fp t15, t17, t19, t25, t26, t27, t29, t31, t34, t35; +fp t37, t39, t40, t42, t44, t46, t47, t49, t56, t61; +fp t63, t65, t66, t67, t82, t93, t98, t100, t102, t106; +fp t107, t110, t111, t112, t116, t119, t120, t121, t123, t124; +fp t127, t128, t129, t130, t131, t133, t134, t135, t137, t138; +fp t139, t141, t142, t143, t148, t149, t150, t153, t154, t155; +fp t158, t159, t160, t163, t164, t167, t168, t171, t172, t177; +fp t181, t182, t185, t186, t189, t191, t197, t198, t200, t205; +fp t220, t224, t232, t239, t266, t273, t276, t280, t283, t289; +fp t292, t302, t303, t306, t307, t310, t311, t314, t317, t326; +fp t330, t334, t337, t340, t343, t353, t355, t356, t360, t362; +fp t366, t382, t387, t394, t431, t440, t444, t447, t450, t465; + t1 = g_uu_13; + t2 = t1*t1; + t3 = 1/r; + t5 = X_ud_13; + t6 = PARTIAL_RHO(h); + t8 = X_ud_23; + t9 = PARTIAL_SIGMA(h); + t11 = zz*t3-t5*t6-t8*t9; + t12 = t11*t11; + t14 = yy*yy; + t15 = zz*zz; + t17 = r*r; + t19 = 1/t17/r; + t25 = X_ud_11; + t26 = t25*t25; + t27 = PARTIAL_RHO_RHO(h); + t29 = X_ud_21; + t31 = PARTIAL_RHO_SIGMA(h); + t34 = t29*t29; + t35 = PARTIAL_SIGMA_SIGMA(h); + t37 = (t14+t15)*t19-X_udd_111*t6-X_udd_211*t9-t26*t27-2.0*t29*t25*t31-t34 +*t35; + t39 = g_uu_23; + t40 = t39*t39; + t42 = X_ud_12; + t44 = X_ud_22; + t46 = yy*t3-t42*t6-t44*t9; + t47 = t46*t46; + t49 = xx*xx; + t56 = t5*t5; + t61 = t8*t8; + t63 = (t49+t14)*t19-X_udd_133*t6-X_udd_233*t9-t56*t27-2.0*t8*t5*t31-t61* +t35; + t65 = t1*t11; + t66 = g_uu_22; + t67 = t66*t46; + t82 = -xx*yy*t19-X_udd_112*t6-X_udd_212*t9-t25*t42*t27-t29*t42*t31-t25* +t44*t31-t29*t44*t35; + t93 = t42*t42; + t98 = t44*t44; + t100 = (t49+t15)*t19-X_udd_122*t6-X_udd_222*t9-t93*t27-2.0*t44*t42*t31- +t98*t35; + t102 = t39*t11; + t106 = t1*t12; + t107 = partial_d_g_uu_123; + t110 = g_uu_12; + t111 = t110*t47; + t112 = partial_d_g_uu_112; + t116 = xx*t3-t25*t6-t29*t9; + t119 = t66*t47; + t120 = partial_d_g_uu_212; + t121 = t120*t116; + t123 = t39*t47; + t124 = partial_d_g_uu_312; + t127 = g_uu_11; + t128 = t116*t116; + t129 = t127*t128; + t130 = partial_d_g_uu_113; + t131 = t130*t11; + t133 = t1*t128; + t134 = partial_d_g_uu_313; + t135 = t134*t11; + t137 = g_uu_33; + t138 = t137*t12; + t139 = t134*t116; + t141 = -t2*t12*t37-t40*t47*t63-2.0*t65*t67*t82-t40*t12*t100-2.0*t102*t67* +t100-t106*t107*t46-t111*t112*t116-t119*t121-t123*t124*t116-t129*t131-t133*t135- +t138*t139; + t142 = t39*t12; + t143 = partial_d_g_uu_213; + t148 = t1*t116; + t149 = partial_d_g_uu_322; + t150 = t149*t47; + t153 = t110*t116; + t154 = partial_d_g_uu_222; + t155 = t154*t47; + t158 = t127*t116; + t159 = partial_d_g_uu_122; + t160 = t159*t47; + t163 = partial_d_g_uu_333; + t164 = t163*t12; + t167 = partial_d_g_uu_133; + t168 = t167*t12; + t171 = partial_d_g_uu_233; + t172 = t171*t12; + t177 = t110*t46; + t181 = partial_d_g_uu_323; + t182 = t181*t11; + t185 = t137*t11; + t186 = t124*t46; + t189 = -t142*t143*t116-t106*t130*t116+RATIONAL(-1.0,2.0)*t148*t150+ +RATIONAL(-1.0,2.0)*t153*t155+RATIONAL(-1.0,2.0)*t158*t160+RATIONAL(-1.0,2.0)* +t148*t164+RATIONAL(-1.0,2.0)*t158*t168+RATIONAL(-1.0,2.0)*t153*t172+RATIONAL( +-1.0,2.0)*t65*t160-2.0*t65*t177*t37-t148*t182*t46-t185*t186*t116; + t191 = t127*t127; + t197 = t110*t128; + t198 = t143*t11; + t200 = t137*t137; + t205 = t39*t46; + t220 = -xx*zz*t19-X_udd_113*t6-X_udd_213*t9-t25*t5*t27-t29*t5*t31-t25*t8* +t31-t29*t8*t35; + t224 = t12*t11; + t232 = t1*t220; + t239 = -t191*t128*t37-2.0*t142*t1*t82-t197*t198-t200*t12*t63-t177*t131* +t116-2.0*t65*t205*t220+RATIONAL(-1.0,2.0)*t39*t224*t171-t67*t198*t116-t205*t135 +*t116-2.0*t138*t232+RATIONAL(-1.0,2.0)*t205*t164+RATIONAL(-1.0,2.0)*t177*t168; + t266 = -yy*zz*t19-X_udd_123*t6-X_udd_223*t9-t42*t5*t27-t44*t5*t31-t42*t8* +t31-t44*t8*t35; + t273 = t110*t110; + t276 = t47*t46; + t280 = t39*t266; + t283 = t158*t37; + t289 = t148*t266; + t292 = RATIONAL(-1.0,2.0)*t67*t172+RATIONAL(-1.0,2.0)*t185*t150+RATIONAL( +-1.0,2.0)*t102*t155-2.0*t197*t127*t82-2.0*t133*t127*t220-2.0*t133*t110*t266+ +RATIONAL(-1.0,2.0)*t1*t224*t167-t273*t128*t100+RATIONAL(-1.0,2.0)*t39*t276*t149 +-2.0*t138*t280-2.0*t65*t283+RATIONAL(-1.0,2.0)*t110*t276*t159-2.0*t67*t289; + t302 = partial_d_g_uu_311; + t303 = t302*t128; + t306 = partial_d_g_uu_211; + t307 = t306*t128; + t310 = partial_d_g_uu_111; + t311 = t310*t128; + t314 = t148*t63; + t317 = t153*t266; + t326 = t107*t11; + t330 = RATIONAL(-1.0,2.0)*t66*t276*t154-2.0*t273*t46*t116*t82+RATIONAL( +-1.0,2.0)*t205*t303+RATIONAL(-1.0,2.0)*t67*t307+RATIONAL(-1.0,2.0)*t177*t311 +-2.0*t205*t314-2.0*t205*t317+RATIONAL(-1.0,2.0)*t185*t303+RATIONAL(-1.0,2.0)* +t102*t307+RATIONAL(-1.0,2.0)*t65*t311-t111*t326-t158*t326*t46; + t334 = t158*t82; + t337 = t110*t82; + t340 = t158*t220; + t343 = t153*t100; + t353 = t112*t46; + t355 = partial_d_g_uu_223; + t356 = t355*t11; + t360 = t120*t46; + t362 = -2.0*t177*t148*t220-2.0*t67*t334-2.0*t119*t337-2.0*t205*t340-2.0* +t67*t343+RATIONAL(-1.0,2.0)*t137*t224*t163-t2*t128*t63-t273*t47*t37-t129*t353- +t119*t356-t123*t182-t133*t186-t197*t360; + t366 = t181*t46; + t382 = t66*t66; + t387 = t128*t116; + t394 = -t142*t355*t46-t138*t366-2.0*t177*t283-2.0*t123*t110*t220-2.0*t123 +*t66*t266-t153*t356*t46-t65*t353*t116-t102*t360*t116-t382*t47*t100-2.0*t185* +t317+RATIONAL(-1.0,2.0)*t127*t387*t310+RATIONAL(-1.0,2.0)*t110*t387*t306; + t431 = RATIONAL(-1.0,2.0)*t1*t387*t302-2.0*t2*t11*t116*t220-2.0*t185*t314 +-2.0*t102*t289-2.0*t65*t153*t82-2.0*t185*t205*t63-2.0*t40*t11*t46*t266-2.0*t102 +*t343-2.0*t102*t334-2.0*t185*t340-2.0*t102*t177*t82-2.0*t185*t67*t266-2.0*t185* +t177*t220; + Theta_A = t141+t189+t239+t292+t330+t362+t394+t431; + t440 = t310*t116+t121+t139+t353+t154*t46+t366+t131+t356+t163*t11+t127*t37 ++2.0*t337+2.0*t232; + t444 = partial_d_ln_sqrt_g_1; + t447 = partial_d_ln_sqrt_g_2; + t450 = partial_d_ln_sqrt_g_3; + t465 = t66*t100+2.0*t280+t137*t63+t127*t444*t116+t110*t447*t116+t1*t450* +t116+t110*t444*t46+t66*t447*t46+t39*t450*t46+t1*t444*t11+t39*t447*t11+t137*t450 +*t11; + Theta_B = t440+t465; + Theta_C = K_uu_11*t128+2.0*K_uu_12*t46*t116+2.0*K_uu_13*t11*t116+K_uu_22* +t47+2.0*K_uu_23*t11*t46+K_uu_33*t12; + Theta_D = t129+2.0*t177*t116+2.0*t65*t116+t119+2.0*t102*t46+t138; diff --git a/src/gr.cg/expansion_Jacobian.c b/src/gr.cg/expansion_Jacobian.c new file mode 100644 index 0000000..b5d2427 --- /dev/null +++ b/src/gr.cg/expansion_Jacobian.c @@ -0,0 +1,628 @@ +/* + * inputs = {r, partial_d_ln_sqrt_g, partial_d_g_uu, X_ud, X_udd, g_uu, K_uu, Theta_A, Theta_B, Theta_C, Theta_D, h} + * outputs = {partial_Theta_wrt_partial_d_h, partial_Theta_wrt_partial_dd_h} + * cost = 458*assignments+1692*multiplications+10*divisions+7*functions+729*additions + */ +fp t1, t2, t3, t4, t5, t7, t8, t10, t11, t13; +fp t14, t16, t18, t20, t22, t24, t26, t28, t29, t31; +fp t32, t35, t37, t38, t41, t42, t43, t46, t48, t52; +fp t54, t55, t59, t60, t63, t67, t68, t69, t70, t71; +fp t74, t76, t78, t80, t83, t85, t86, t92, t93, t94; +fp t98, t99, t102, t103, t104, t107, t108, t112, t113, t114; +fp t115, t116, t118, t119, t120, t122, t123, t126, t127, t128; +fp t133, t136, t140, t141, t142, t143, t153, t156, t158, t160; +fp t162, t165, t167, t168, t171, t172, t173, t174, t179, t183; +fp t185, t189, t190, t193, t194, t195, t197, t198, t202, t205; +fp t208, t209, t212, t216, t217, t218, t220, t222, t223, t224; +fp t226, t227, t232, t235, t236, t237, t238, t240, t247, t248; +fp t249, t254, t259, t263, t266, t267, t275, t278, t281, t284; +fp t287, t288, t291, t296, t297, t298, t300, t307, t309, t311; +fp t314, t316, t317, t322, t325, t326, t329, t334, t335, t336; +fp t340, t346, t350, t351, t352, t354, t357, t358, t359, t361; +fp t364, t365, t366, t368, t370, t373, t374, t376, t381, t385; +fp t386, t392, t398, t401, t404, t405, t407, t408, t411, t414; +fp t416, t417, t419, t421, t422, t424, t428, t431, t432, t434; +fp t437, t440, t442, t449, t454, t458, t461, t467, t470, t471; +fp t474, t475, t481, t485, t489, t494, t498, t503, t504, t505; +fp t507, t514, t518, t534, t536, t542, t545, t548, t551, t552; +fp t559, t561, t562, t565, t569, t571, t572, t573, t575, t576; +fp t588, t589, t590, t593, t594, t599, t601, t605, t608, t609; +fp t612, t613, t627, t632, t633, t640, t644, t652, t656, t664; +fp t669, t672, t677, t678, t680, t694, t704, t707, t712, t716; +fp t723, t738, t741, t746, t748, t750, t774, t776, t780, t785; +fp t787, t792, t796, t797, t799, t800, t802, t803, t805, t807; +fp t809, t811, t813, t815, t817, t819, t822, t824, t827, t829; +fp t832, t835, t837, t840, t843, t847, t860, t869, t871, t876; +fp t882, t886, t890, t891, t897, t899, t900, t902, t904, t905; +fp t907, t913, t920, t929, t930, t933, t938, t944, t947, t949; +fp t962, t970, t971, t976, t979, t983, t996, t997, t1000, t1001; +fp t1004, t1010, t1012, t1015, t1033, t1036, t1039, t1047, t1048, t1050; +fp t1062, t1065, t1070, t1074, t1075, t1078, t1080, t1082, t1087, t1093; +fp t1095, t1097, t1103, t1107, t1112, t1114, t1138, t1139, t1141, t1145; +fp t1150, t1163, t1166, t1169, t1174, t1186, t1189, t1192, t1200, t1214; +fp t1234, t1266, t1281, t1289, t1300, t1301, t1308, t1335, t1342, t1345; +fp t1364, t1370, t1405, t1414, t1427, t1457, t1460, t1463, t1465, t1469; +fp t1475, t1476, t1477, t1483, t1486, t1487, t1491, t1492, t1493, t1497; +fp t1505, t1508, t1510, t1513, t1516, t1517, t1520, t1526, t1536, t1547; +fp t1552, t1555, t1558, t1561, t1572, t1580, t1594, t1600, t1606, t1610; +fp t1622, t1629, t1639, t1641, t1643, t1645, t1648, t1655, t1659, t1660; +fp t1666, t1667, t1684, t1697, t1704, t1718, t1721, t1739, t1748, t1751; +fp t1757, t1760, t1761, t1768, t1771, t1783, t1785, t1788, t1791, t1803; +fp t1809, t1812, t1825; + t1 = g_uu_13; + t2 = X_ud_13; + t3 = t1*t2; + t4 = g_uu_12; + t5 = 1/r; + t7 = X_ud_11; + t8 = PARTIAL_RHO(h); + t10 = X_ud_21; + t11 = PARTIAL_SIGMA(h); + t13 = xx*t5-t7*t8-t10*t11; + t14 = t4*t13; + t16 = r*r; + t18 = 1/t16/r; + t20 = X_udd_112; + t22 = X_udd_212; + t24 = X_ud_12; + t26 = PARTIAL_RHO_RHO(h); + t28 = t10*t24; + t29 = PARTIAL_RHO_SIGMA(h); + t31 = X_ud_22; + t32 = t7*t31; + t35 = PARTIAL_SIGMA_SIGMA(h); + t37 = -xx*yy*t18-t20*t8-t22*t11-t7*t24*t26-t28*t29-t32*t29-t10*t31*t35; + t38 = t14*t37; + t41 = g_uu_22; + t42 = t41*t24; + t43 = t1*t13; + t46 = X_udd_123; + t48 = X_udd_223; + t52 = t31*t2; + t54 = X_ud_23; + t55 = t24*t54; + t59 = -yy*zz*t18-t46*t8-t48*t11-t24*t2*t26-t52*t29-t55*t29-t31*t54*t35; + t60 = t43*t59; + t63 = g_uu_23; + t67 = yy*t5-t24*t8-t31*t11; + t68 = t63*t67; + t69 = t1*t7; + t70 = xx*xx; + t71 = yy*yy; + t74 = X_udd_133; + t76 = X_udd_233; + t78 = t2*t2; + t80 = t54*t2; + t83 = t54*t54; + t85 = (t70+t71)*t18-t74*t8-t76*t11-t78*t26-2.0*t80*t29-t83*t35; + t86 = t69*t85; + t92 = zz*t5-t2*t8-t54*t11; + t93 = t63*t92; + t94 = t4*t67; + t98 = t41*t67; + t99 = t69*t59; + t102 = g_uu_33; + t103 = t102*t92; + t104 = t43*t74; + t107 = t1*t92; + t108 = t4*t7; + t112 = g_uu_11; + t113 = t112*t13; + t114 = partial_d_g_uu_123; + t115 = t114*t2; + t116 = t115*t67; + t118 = partial_d_g_uu_211; + t119 = t118*t13; + t120 = t119*t7; + t122 = t63*t2; + t123 = t94*t37; + t126 = partial_d_g_uu_122; + t127 = t126*t67; + t128 = t127*t24; + t133 = t98*t37; + t136 = X_udd_113; + t140 = 2.0*t3*t38+2.0*t42*t60+2.0*t68*t86+2.0*t93*t94*t20+2.0*t98*t99+2.0 +*t103*t104+2.0*t107*t108*t37+t113*t116+t93*t120+2.0*t122*t123+t113*t128+2.0* +t107*t14*t20+2.0*t3*t133+2.0*t107*t68*t136; + t141 = partial_d_g_uu_311; + t142 = t141*t13; + t143 = t142*t7; + t153 = zz*zz; + t156 = X_udd_122; + t158 = X_udd_222; + t160 = t24*t24; + t162 = t31*t24; + t165 = t31*t31; + t167 = (t70+t153)*t18-t156*t8-t158*t11-t160*t26-2.0*t162*t29-t165*t35; + t168 = t108*t167; + t171 = t13*t13; + t172 = t112*t171; + t173 = partial_d_g_uu_112; + t174 = t173*t24; + t179 = X_udd_213; + t183 = t10*t2; + t185 = t7*t54; + t189 = -xx*zz*t18-t136*t8-t179*t11-t7*t2*t26-t183*t29-t185*t29-t10*t54* +t35; + t190 = t68*t189; + t193 = t112*t7; + t194 = t114*t92; + t195 = t194*t67; + t197 = t4*t4; + t198 = t197*t67; + t202 = t108*t59; + t205 = t193*t37; + t208 = t102*t2; + t209 = t14*t59; + t212 = t63*t24; + t216 = t63*t63; + t217 = t92*t92; + t218 = t216*t217; + t220 = t103*t143+2.0*t94*t43*t136+2.0*t107*t98*t20+2.0*t68*t104+2.0*t93* +t168+t172*t174+2.0*t3*t190+t193*t195+2.0*t198*t7*t37+2.0*t103*t202+2.0*t93*t205 ++2.0*t208*t209+2.0*t107*t212*t189+t218*t156; + t222 = t1*t1; + t223 = t222*t217; + t224 = X_udd_111; + t226 = t102*t102; + t227 = t226*t217; + t232 = t113*t189; + t235 = t67*t67; + t236 = t41*t235; + t237 = partial_d_g_uu_223; + t238 = t237*t2; + t240 = t194*t24; + t247 = partial_d_g_uu_333; + t248 = t247*t92; + t249 = t248*t2; + t254 = t113*t136; + t259 = t1*t171; + t263 = t193*t189; + t266 = t223*t224+t227*t74+2.0*t107*t42*t37+2.0*t208*t232+t236*t238+t113* +t240+2.0*t93*t98*t156+2.0*t68*t202+t43*t249+2.0*t93*t42*t167+2.0*t103*t254+2.0* +t212*t209+2.0*t259*t4*t46+2.0*t103*t263; + t267 = t98*t167; + t275 = t14*t46; + t278 = t43*t46; + t281 = t113*t224; + t284 = t113*t37; + t287 = t102*t217; + t288 = t63*t46; + t291 = t113*t20; + t296 = partial_d_g_uu_312; + t297 = t296*t67; + t298 = t297*t13; + t300 = t222*t92; + t307 = X_udd_211; + t309 = t7*t7; + t311 = t10*t7; + t314 = t10*t10; + t316 = (t71+t153)*t18-t224*t8-t307*t11-t309*t26-2.0*t311*t29-t314*t35; + t317 = t113*t316; + t322 = 2.0*t122*t267+2.0*t94*t69*t189+4.0*t43*t263+2.0*t103*t275+2.0*t98* +t278+2.0*t107*t281+2.0*t122*t284+2.0*t287*t288+2.0*t93*t291+2.0*t68*t275+t208* +t298+2.0*t300*t7*t189+2.0*t3*t317+2.0*t103*t86; + t325 = t4*t24; + t326 = t325*t189; + t329 = t43*t85; + t334 = partial_d_g_uu_313; + t335 = t334*t92; + t336 = t335*t13; + t340 = t335*t7; + t346 = t63*t59; + t350 = partial_d_g_uu_111; + t351 = t350*t13; + t352 = t351*t7; + t354 = t193*t316; + t357 = partial_d_g_uu_113; + t358 = t357*t2; + t359 = t358*t13; + t361 = t94*t189; + t364 = partial_d_g_uu_323; + t365 = t364*t2; + t366 = t365*t67; + t368 = 2.0*t103*t326+2.0*t208*t329+2.0*t212*t329+t212*t336+4.0*t68*t326+ +t68*t340+2.0*t93*t278+4.0*t43*t202+4.0*t103*t346*t2+t94*t352+2.0*t107*t354+t94* +t359+2.0*t208*t361+t43*t366; + t370 = t41*t59*t24; + t373 = t357*t92; + t374 = t373*t13; + t376 = t1*t189; + t381 = t63*t235; + t385 = partial_d_g_uu_133; + t386 = t385*t217; + t392 = t4*t20; + t398 = t350*t171; + t401 = t118*t171; + t404 = t334*t2; + t405 = t404*t13; + t407 = t4*t37; + t408 = t407*t24; + t411 = t43*t189; + t414 = 4.0*t68*t370+t325*t374+4.0*t103*t376*t2+t98*t120+2.0*t381*t41*t46+ +RATIONAL(1.0,2.0)*t193*t386+2.0*t381*t4*t136+2.0*t236*t392+2.0*t259*t112*t136+ +RATIONAL(1.0,2.0)*t3*t398+RATIONAL(1.0,2.0)*t122*t401+t68*t405+4.0*t98*t408+2.0 +*t325*t411; + t416 = t364*t92; + t417 = t416*t67; + t419 = t297*t7; + t421 = t296*t24; + t422 = t421*t13; + t424 = t1*t37; + t428 = t94*t316; + t431 = t41*t41; + t432 = t431*t235; + t434 = t126*t235; + t437 = t247*t217; + t440 = t416*t24; + t442 = t373*t7; + t449 = t431*t67; + t454 = t69*t417+t103*t419+t103*t422+4.0*t93*t424*t2+2.0*t3*t428+t432*t156 ++RATIONAL(1.0,2.0)*t193*t434+RATIONAL(1.0,2.0)*t69*t437+t43*t440+t94*t442+2.0* +t300*t13*t136+t381*t296*t7+2.0*t449*t167*t24+t259*t421; + t458 = t350*t7; + t461 = t4*t235; + t467 = t13*t189; + t470 = t237*t92; + t471 = t470*t24; + t474 = t385*t92; + t475 = t474*t2; + t481 = t13*t37; + t485 = t67*t59; + t489 = t238*t67; + t494 = RATIONAL(3.0,2.0)*t259*t141*t7+RATIONAL(3.0,2.0)*t172*t458+t461* +t115+2.0*t198*t13*t20+2.0*t222*t2*t467+2.0*t98*t471+t113*t475+2.0*t107*t94*t224 ++2.0*t197*t24*t481+2.0*t216*t2*t485+t68*t249+t14*t489+t107*t128+2.0*t93*t99; + t498 = t470*t67; + t503 = partial_d_g_uu_233; + t504 = t503*t92; + t505 = t504*t2; + t507 = t4*t171; + t514 = t216*t92; + t518 = t334*t7; + t534 = t108*t498+2.0*t103*t94*t136+t14*t505+RATIONAL(3.0,2.0)*t507*t118* +t7+2.0*t107*t325*t316+2.0*t514*t24*t59+t287*t518+t259*t404+RATIONAL(3.0,2.0)* +t461*t126*t24+2.0*t514*t67*t46+RATIONAL(1.0,2.0)*t3*t434+2.0*t68*t440+t172*t358 ++2.0*t68*t422; + t536 = partial_d_g_uu_213; + t542 = t98*t59; + t545 = t68*t85; + t548 = t216*t235; + t551 = t536*t13; + t552 = t551*t2; + t559 = t174*t13; + t561 = t536*t92; + t562 = t561*t7; + t565 = t226*t92; + t569 = t94*t475+t507*t536*t2+2.0*t43*t340+t14*t471+2.0*t208*t542+2.0*t208 +*t545+t548*t74+t98*t505+2.0*t93*t552+2.0*t94*t240+2.0*t113*t442+t107*t559+2.0* +t14*t562+2.0*t565*t85*t2; + t571 = partial_d_g_uu_322; + t572 = t571*t67; + t573 = t572*t24; + t575 = t173*t67; + t576 = t575*t13; + t588 = partial_d_g_uu_212; + t589 = t588*t24; + t590 = t589*t13; + t593 = t588*t67; + t594 = t593*t13; + t599 = t575*t7; + t601 = t63*t217; + t605 = t141*t171; + t608 = t43*t573+t3*t576+2.0*t103*t405+2.0*t43*t419+t103*t573+2.0*t107* +t359+2.0*t514*t167*t2+t93*t590+t381*t365+t122*t594+2.0*t103*t98*t46+t107*t599+ +2.0*t601*t1*t20+RATIONAL(1.0,2.0)*t208*t605; + t609 = t593*t7; + t612 = partial_d_g_uu_222; + t613 = t612*t24; + t627 = t588*t7; + t632 = t612*t67; + t633 = t632*t24; + t640 = t216*t67; + t644 = 2.0*t14*t609+RATIONAL(3.0,2.0)*t236*t613+t93*t609+2.0*t113*t599+ +RATIONAL(1.0,2.0)*t42*t401+2.0*t107*t116+RATIONAL(1.0,2.0)*t325*t398+2.0*t103* +t366+t236*t627+2.0*t103*t212*t85+t14*t633+2.0*t93*t489+RATIONAL(3.0,2.0)*t381* +t571*t24+2.0*t640*t85*t24; + t652 = t364*t24; + t656 = t1*t217; + t664 = t247*t2; + t669 = t1*t136; + t672 = t503*t217; + t677 = t112*t112; + t678 = t677*t171; + t680 = 4.0*t14*t205+2.0*t103*t68*t74+t287*t652+t461*t173*t7+t656*t114*t24 ++t601*t237*t24+t507*t589+t601*t536*t7+RATIONAL(3.0,2.0)*t287*t664+RATIONAL(1.0, +2.0)*t212*t437+2.0*t287*t669+RATIONAL(1.0,2.0)*t108*t672+RATIONAL(1.0,2.0)*t42* +t672+t678*t224; + t694 = t677*t13; + t704 = t571*t235; + t707 = t612*t235; + t712 = t222*t13; + t716 = 2.0*t98*t590+2.0*t300*t316*t2+2.0*t94*t559+t98*t562+2.0*t122*t60+ +t93*t633+2.0*t103*t370+2.0*t694*t316*t7+RATIONAL(3.0,2.0)*t656*t385*t2+RATIONAL +(3.0,2.0)*t601*t503*t2+RATIONAL(1.0,2.0)*t208*t704+RATIONAL(1.0,2.0)*t122*t707+ +RATIONAL(1.0,2.0)*t69*t704+2.0*t712*t85*t7; + t723 = t197*t13; + t738 = t14*t167; + t741 = t14*t156; + t746 = t561*t13; + t748 = t197*t235; + t750 = 2.0*t198*t316*t24+t656*t357*t7+2.0*t723*t167*t7+t68*t143+2.0*t507* +t112*t20+2.0*t94*t354+t98*t552+RATIONAL(1.0,2.0)*t108*t707+RATIONAL(1.0,2.0)* +t212*t605+2.0*t122*t738+2.0*t98*t741+2.0*t93*t408+t42*t746+t748*t224; + t774 = t197*t171; + t776 = t222*t171; + t780 = 2.0*t94*t281+2.0*t42*t284+2.0*t98*t168+t107*t352+2.0*t212*t232+2.0 +*t93*t741+RATIONAL(1.0,2.0)*t325*t386+2.0*t42*t738+2.0*t98*t205+2.0*t98*t291+ +2.0*t325*t317+2.0*t68*t254+t774*t156+t776*t74+2.0*t68*t263; + t785 = pow(Theta_D,1.0*RATIONAL(1.0,2.0)); + t787 = 1/t785/Theta_D; + t792 = -t458-t627-t518-t174-t613-t652-t358-t238-t664-t112*t224-2.0*t392 +-2.0*t669; + t796 = partial_d_ln_sqrt_g_1; + t797 = t112*t796; + t799 = partial_d_ln_sqrt_g_2; + t800 = t4*t799; + t802 = partial_d_ln_sqrt_g_3; + t803 = t1*t802; + t805 = t4*t796; + t807 = t41*t799; + t809 = t63*t802; + t811 = t1*t796; + t813 = t63*t799; + t815 = t102*t802; + t817 = -t41*t156-2.0*t288-t102*t74-t797*t7-t800*t7-t803*t7-t805*t24-t807* +t24-t809*t24-t811*t2-t813*t2-t815*t2; + t819 = 1/t785; + t822 = K_uu_11*t13; + t824 = K_uu_12; + t827 = t824*t67; + t829 = K_uu_13; + t832 = t829*t92; + t835 = K_uu_22*t67; + t837 = K_uu_23; + t840 = t837*t92; + t843 = K_uu_33*t92; + t847 = 1/Theta_D; + t860 = Theta_D*Theta_D; + t869 = RATIONAL(3.0,2.0)*Theta_A/t785/t860+RATIONAL(1.0,2.0)*Theta_B*t787 ++Theta_C/t860; + partial_Theta_wrt_partial_d_h_1 = (t140+t220+t266+t322+t368+t414+t454+ +t494+t534+t569+t608+t644+t680+t716+t750+t780)*t787+(t792+t817)*t819+(-2.0*t822* +t7-2.0*t824*t24*t13-2.0*t827*t7-2.0*t829*t2*t13-2.0*t832*t7-2.0*t835*t24-2.0* +t837*t2*t67-2.0*t840*t24-2.0*t843*t2)*t847-(-2.0*t113*t7-2.0*t325*t13-2.0*t94* +t7-2.0*t3*t13-2.0*t107*t7-2.0*t98*t24-2.0*t122*t67-2.0*t93*t24-2.0*t103*t2)* +t869; + t871 = t113*t22; + t876 = t63*t54; + t882 = t551*t54; + t886 = t561*t10; + t890 = t112*t10; + t891 = t890*t316; + t897 = t334*t10; + t899 = 2.0*t93*t871+t381*t296*t10+t876*t594+2.0*t93*t94*t22+t432*t158+2.0 +*t93*t882+t218*t158+2.0*t14*t886+t748*t307+2.0*t94*t891+t890*t195+t548*t76+t223 +*t307+t287*t897; + t900 = t194*t31; + t902 = t334*t54; + t904 = t114*t54; + t905 = t904*t67; + t907 = t63*t31; + t913 = t102*t54; + t920 = t14*t48; + t929 = t4*t10; + t930 = t929*t59; + t933 = t335*t10; + t938 = t113*t900+t259*t902+t113*t905+2.0*t907*t209+2.0*t300*t13*t179+2.0* +t913*t545+t507*t536*t54+t601*t536*t10+2.0*t68*t920+2.0*t712*t85*t10+2.0*t449* +t167*t31+2.0*t68*t930+t68*t933+2.0*t197*t31*t481; + t944 = t1*t54; + t947 = t588*t31; + t949 = t113*t307; + t962 = t364*t54; + t970 = t4*t31; + t971 = t970*t189; + t976 = t913*t298+2.0*t103*t907*t85+2.0*t944*t317+t507*t947+2.0*t107*t949+ +RATIONAL(3.0,2.0)*t507*t118*t10+2.0*t259*t4*t48+t259*t296*t31+2.0*t107*t891+ +t381*t962+2.0*t198*t13*t22+2.0*t103*t68*t76+2.0*t103*t971+2.0*t876*t60; + t979 = t416*t31; + t983 = t351*t10; + t996 = t1*t10; + t997 = t996*t85; + t1000 = t41*t31; + t1001 = t1000*t59; + t1004 = t996*t59; + t1010 = t142*t10; + t1012 = 2.0*t907*t329+t43*t979+2.0*t913*t361+t107*t983+2.0*t944*t38+4.0* +t93*t424*t54+2.0*t107*t929*t37+2.0*t103*t94*t179+2.0*t68*t997+2.0*t103*t1001+ +2.0*t98*t1004+t970*t374+2.0*t913*t542+t103*t1010; + t1015 = t119*t10; + t1033 = t43*t48; + t1036 = t297*t10; + t1039 = t373*t10; + t1047 = t357*t54; + t1048 = t1047*t13; + t1050 = t93*t1015+2.0*t107*t1000*t37+2.0*t259*t112*t179+2.0*t970*t411+2.0 +*t944*t133+2.0*t93*t1004+2.0*t103*t98*t48+t774*t158+2.0*t98*t1033+2.0*t43*t1036 ++2.0*t113*t1039+2.0*t1000*t60+2.0*t94*t43*t179+t94*t1048; + t1062 = t43*t76; + t1065 = t113*t179; + t1070 = t470*t31; + t1074 = t237*t54; + t1075 = t1074*t67; + t1078 = t504*t54; + t1080 = t474*t54; + t1082 = 2.0*t107*t98*t22+2.0*t94*t996*t189+t98*t1015+2.0*t970*t317+2.0* +t876*t123+2.0*t68*t1062+2.0*t68*t1065+2.0*t944*t428+t14*t1070+2.0*t94*t949+t14* +t1075+t94*t1039+t14*t1078+t113*t1080; + t1087 = t112*t189*t10; + t1093 = t248*t54; + t1095 = t127*t31; + t1097 = t572*t31; + t1103 = t296*t13*t31; + t1107 = t407*t31; + t1112 = t632*t31; + t1114 = 4.0*t43*t930+4.0*t43*t1087+t227*t76+4.0*t68*t971+t68*t1093+t107* +t1095+t103*t1097+4.0*t68*t1001+t98*t1078+2.0*t68*t1103+t678*t307+4.0*t98*t1107+ +RATIONAL(1.0,2.0)*t1000*t672+t93*t1112; + t1138 = t173*t31; + t1139 = t1138*t13; + t1141 = t4*t22; + t1145 = 2.0*t381*t41*t48+2.0*t216*t54*t485+t103*t1103+RATIONAL(1.0,2.0)* +t996*t704+t103*t1036+t601*t237*t31+t172*t1047+RATIONAL(3.0,2.0)*t601*t503*t54+ +2.0*t514*t31*t59+2.0*t514*t67*t48+t776*t76+t107*t1139+2.0*t236*t1141+t996*t417; + t1150 = t593*t10; + t1163 = t947*t13; + t1166 = t962*t67; + t1169 = t575*t10; + t1174 = t944*t576+t93*t1150+2.0*t723*t167*t10+RATIONAL(1.0,2.0)*t890*t386 ++RATIONAL(1.0,2.0)*t929*t672+RATIONAL(1.0,2.0)*t944*t434+RATIONAL(1.0,2.0)*t907 +*t437+t93*t1163+t98*t882+t43*t1166+t1000*t746+t107*t1169+t43*t1097+2.0*t107* +t1048; + t1186 = t112*t37*t10; + t1189 = t929*t167; + t1192 = t14*t158; + t1200 = t43*t1093+t907*t336+2.0*t98*t1070+t113*t1095+2.0*t113*t1169+t68* +t1010+t98*t886+t94*t1080+4.0*t14*t1186+2.0*t93*t1189+2.0*t93*t1192+2.0*t913* +t232+2.0*t876*t738+t14*t1112; + t1214 = t902*t13; + t1234 = 2.0*t107*t14*t22+2.0*t1000*t738+2.0*t876*t267+2.0*t107*t68*t179+ +2.0*t94*t900+t68*t1214+2.0*t103*t920+2.0*t944*t190+2.0*t68*t1087+2.0*t93*t98* +t158+2.0*t907*t232+2.0*t93*t1000*t167+2.0*t98*t1192+2.0*t98*t1189; + t1266 = 2.0*t103*t1065+t94*t983+2.0*t1000*t284+2.0*t198*t316*t31+2.0*t107 +*t907*t189+RATIONAL(1.0,2.0)*t890*t434+2.0*t103*t1166+2.0*t43*t933+2.0*t103* +t930+2.0*t94*t1139+2.0*t98*t1163+2.0*t98*t1186+RATIONAL(3.0,2.0)*t259*t141*t10+ +2.0*t222*t54*t467; + t1281 = t588*t10; + t1289 = t247*t54; + t1300 = 2.0*t300*t10*t189+RATIONAL(3.0,2.0)*t656*t385*t54+t461*t904+t172* +t1138+t236*t1074+2.0*t694*t316*t10+t236*t1281+RATIONAL(3.0,2.0)*t381*t571*t31+ +RATIONAL(3.0,2.0)*t461*t126*t31+RATIONAL(3.0,2.0)*t287*t1289+2.0*t103*t1087+2.0 +*t107*t905+2.0*t68*t979+2.0*t98*t871; + t1301 = t612*t31; + t1308 = t364*t31; + t1335 = RATIONAL(3.0,2.0)*t236*t1301+2.0*t93*t1075+2.0*t14*t1150+t287* +t1308+t656*t114*t31+t461*t173*t10+RATIONAL(1.0,2.0)*t1000*t401+t656*t357*t10+ +2.0*t300*t316*t54+2.0*t507*t112*t22+2.0*t640*t85*t31+2.0*t601*t1*t22+RATIONAL( +1.0,2.0)*t876*t707+2.0*t565*t85*t54; + t1342 = t63*t48; + t1345 = t1*t179; + t1364 = t350*t10; + t1370 = RATIONAL(1.0,2.0)*t913*t704+2.0*t514*t167*t54+2.0*t287*t1342+2.0* +t287*t1345+RATIONAL(1.0,2.0)*t970*t398+RATIONAL(1.0,2.0)*t996*t437+RATIONAL(1.0 +,2.0)*t907*t605+RATIONAL(1.0,2.0)*t944*t398+RATIONAL(1.0,2.0)*t876*t401+ +RATIONAL(1.0,2.0)*t913*t605+RATIONAL(1.0,2.0)*t929*t707+RATIONAL(1.0,2.0)*t970* +t386+RATIONAL(3.0,2.0)*t172*t1364+2.0*t198*t10*t37; + t1405 = 4.0*t103*t376*t54+2.0*t103*t1214+4.0*t103*t346*t54+2.0*t93*t1107+ +2.0*t107*t94*t307+2.0*t107*t970*t316+2.0*t913*t209+2.0*t381*t4*t179+t929*t498+ +2.0*t93*t1033+2.0*t103*t997+2.0*t103*t1062+2.0*t913*t329+2.0*t876*t284+2.0*t93* +t1186; + t1414 = -t1364-t1281-t897-t1138-t1301-t1308-t1047-t1074-t1289-t112*t307 +-2.0*t1141-2.0*t1345; + t1427 = -t41*t158-2.0*t1342-t102*t76-t797*t10-t800*t10-t803*t10-t805*t31- +t807*t31-t809*t31-t811*t54-t813*t54-t815*t54; + partial_Theta_wrt_partial_d_h_2 = (t899+t938+t976+t1012+t1050+t1082+t1114 ++t1145+t1174+t1200+t1234+t1266+t1300+t1335+t1370+t1405)*t787+(t1414+t1427)*t819 ++(-2.0*t822*t10-2.0*t824*t31*t13-2.0*t827*t10-2.0*t829*t54*t13-2.0*t832*t10-2.0 +*t835*t31-2.0*t837*t54*t67-2.0*t840*t31-2.0*t843*t54)*t847-(-2.0*t113*t10-2.0* +t970*t13-2.0*t94*t10-2.0*t944*t13-2.0*t107*t10-2.0*t98*t31-2.0*t876*t67-2.0*t93 +*t31-2.0*t103*t54)*t869; + t1457 = t14*t160; + t1460 = t69*t2; + t1463 = t68*t4; + t1465 = t13*t24*t2; + t1469 = t43*t78; + t1475 = t103*t4; + t1476 = t67*t7; + t1477 = t1476*t2; + t1483 = t212*t2; + t1486 = t107*t41; + t1487 = t1476*t24; + t1491 = 2.0*t98*t1457+2.0*t287*t1460+2.0*t1463*t1465+t774*t160+2.0*t68* +t1469+2.0*t107*t94*t309+2.0*t1475*t1477+2.0*t381*t108*t2+2.0*t287*t1483+2.0* +t1486*t1487+t218*t160; + t1492 = t13*t7; + t1493 = t1492*t24; + t1497 = t113*t309; + t1505 = t98*t1; + t1508 = t103*t41; + t1510 = t67*t24*t2; + t1513 = t93*t4; + t1516 = t94*t1; + t1517 = t1492*t2; + t1520 = t107*t4; + t1526 = 2.0*t198*t1493+t223*t309+2.0*t107*t1497+2.0*t259*t193*t2+2.0*t93* +t1457+2.0*t1505*t1465+2.0*t1508*t1510+2.0*t1513*t1487+2.0*t1516*t1517+2.0*t1520 +*t1493+2.0*t103*t68*t78; + t1536 = t93*t112; + t1547 = t93*t1; + t1552 = t432*t160+2.0*t93*t98*t160+t548*t78+2.0*t514*t1510+t748*t309+2.0* +t1536*t1493+2.0*t300*t1517+2.0*t381*t42*t2+2.0*t507*t193*t24+2.0*t1547*t1465+ +2.0*t1475*t1465; + t1555 = t103*t112; + t1558 = t98*t112; + t1561 = t108*t24; + t1572 = t68*t112; + t1580 = 2.0*t1547*t1477+2.0*t1555*t1517+2.0*t1558*t1493+2.0*t236*t1561+ +2.0*t259*t325*t2+t776*t78+t678*t309+t227*t78+2.0*t94*t1497+2.0*t1572*t1517+2.0* +t103*t1469+2.0*t601*t69*t24; + partial_Theta_wrt_partial_dd_h_11 = (t1491+t1526+t1552+t1580)*t787+(-t112 +*t309-2.0*t1561-2.0*t1460-t41*t160-2.0*t1483-t102*t78)*t819; + t1594 = -t183-t185; + t1600 = t67*t10; + t1606 = -t28-t32; + t1610 = t1*t1594; + t1622 = 2.0*t218*t162-2.0*t107*t68*t1594+2.0*t432*t162+4.0*t1520*t1600*t7 ++2.0*t776*t80-2.0*t601*t1*t1606-2.0*t287*t1610+2.0*t223*t311+2.0*t748*t311-2.0* +t93*t94*t1606+2.0*t774*t162; + t1629 = -t52-t55; + t1639 = t113*t1606; + t1641 = t113*t1594; + t1643 = t14*t1629; + t1645 = -t381*t4*t1594-t300*t13*t1594-t107*t98*t1606-t259*t4*t1629-t103* +t94*t1594-t107*t14*t1606+t678*t311-t507*t112*t1606-t93*t1639-t103*t1641-t103* +t1643; + t1648 = t43*t1629; + t1655 = t13*t54*t2; + t1659 = t13*t10; + t1660 = t1659*t7; + t1666 = t13*t31; + t1667 = t1666*t24; + t1684 = -2.0*t93*t1648+2.0*t227*t80+4.0*t103*t1*t1655+4.0*t94*t112*t1660 +-2.0*t198*t13*t1606+4.0*t1513*t1667-2.0*t514*t67*t1629-2.0*t94*t43*t1594+4.0* +t68*t1*t1655+4.0*t98*t4*t1667-2.0*t98*t1639; + t1697 = t4*t1606; + t1704 = t67*t31; + t1718 = t63*t1629; + t1721 = -2.0*t259*t112*t1594-2.0*t68*t1643-2.0*t68*t1641-2.0*t98*t1648+ +4.0*t107*t112*t1660-2.0*t236*t1697-2.0*t381*t41*t1629+4.0*t93*t41*t1704*t24-2.0 +*t103*t98*t1629+2.0*t548*t80+4.0*t103*t63*t67*t54*t2-2.0*t287*t1718; + partial_Theta_wrt_partial_dd_h_12 = (t1622+2.0*t1645+t1684+t1721)*t787+( +-2.0*t890*t7+2.0*t1697+2.0*t1610-2.0*t1000*t24+2.0*t1718-2.0*t913*t2)*t819; + t1739 = t996*t54; + t1748 = t1704*t54; + t1751 = t1600*t54; + t1757 = t1600*t31; + t1760 = 2.0*t507*t890*t31+2.0*t93*t98*t165+t227*t83+t548*t83+2.0*t287* +t1739+2.0*t259*t970*t54+2.0*t601*t996*t31+2.0*t514*t1748+2.0*t1547*t1751+2.0* +t107*t94*t314+2.0*t1486*t1757; + t1761 = t907*t54; + t1768 = t1659*t31; + t1771 = t113*t314; + t1783 = 2.0*t287*t1761+t748*t314+t774*t165+t678*t314+t223*t314+2.0*t198* +t1768+2.0*t94*t1771+2.0*t1513*t1757+2.0*t1520*t1768+2.0*t1475*t1751+2.0*t103* +t68*t83; + t1785 = t1666*t54; + t1788 = t1659*t54; + t1791 = t43*t83; + t1803 = t14*t165; + t1809 = 2.0*t1547*t1785+2.0*t1516*t1788+2.0*t68*t1791+2.0*t1558*t1768+2.0 +*t259*t890*t54+2.0*t107*t1771+2.0*t1463*t1785+2.0*t98*t1803+t218*t165+t776*t83+ +t432*t165; + t1812 = t929*t31; + t1825 = t1572*t1788+t1505*t1785+t236*t1812+t103*t1791+t300*t1788+t381* +t1000*t54+t381*t929*t54+t93*t1803+t1555*t1788+t1536*t1768+t1475*t1785+t1508* +t1748; + partial_Theta_wrt_partial_dd_h_22 = (t1760+t1783+t1809+2.0*t1825)*t787+(- +t112*t314-2.0*t1812-2.0*t1739-t41*t165-2.0*t1761-t102*t83)*t819; diff --git a/src/gr.cg/horizon_Jacobian.c b/src/gr.cg/horizon_Jacobian.c deleted file mode 100644 index eff036b..0000000 --- a/src/gr.cg/horizon_Jacobian.c +++ /dev/null @@ -1,625 +0,0 @@ -/* - * inputs = {r, partial_d_ln_sqrt_g, partial_d_g_uu, X_ud, X_udd, g_uu, K_uu, h, HA, HB, HC, HD} - * outputs = {partial_H_wrt_partial_d_h, partial_H_wrt_partial_dd_h} - * cost = 457*assignments+10*divisions+7*functions+1685*multiplications+729*additions - */ -fp t1, t2, t4, t5, t7, t8, t10, t11, t12, t14; -fp t16, t18, t19, t20, t21, t23, t24, t25, t26, t29; -fp t30, t33, t35, t36, t37, t38, t40, t42, t44, t46; -fp t48, t49, t51, t52, t55, t56, t58, t59, t62, t63; -fp t66, t68, t72, t74, t78, t82, t83, t86, t87, t88; -fp t91, t92, t93, t94, t95, t97, t98, t101, t104, t107; -fp t108, t109, t112, t113, t115, t119, t121, t125, t127, t131; -fp t132, t135, t136, t137, t138, t142, t143, t146, t147, t150; -fp t151, t152, t154, t157, t160, t162, t164, t166, t169, t171; -fp t175, t182, t186, t188, t194, t196, t199, t206, t207, t210; -fp t213, t215, t216, t219, t220, t221, t224, t226, t229, t235; -fp t236, t239, t240, t242, t243, t244, t247, t248, t255, t259; -fp t261, t265, t266, t270, t271, t273, t274, t275, t277, t280; -fp t281, t282, t283, t286, t289, t290, t292, t295, t296, t299; -fp t303, t309, t313, t319, t320, t323, t327, t333, t335, t337; -fp t339, t342, t344, t345, t348, t351, t354, t359, t360, t361; -fp t363, t366, t370, t371, t374, t375, t378, t381, t384, t385; -fp t387, t390, t396, t398, t399, t403, t404, t406, t416, t417; -fp t419, t423, t426, t429, t432, t440, t443, t445, t453, t454; -fp t458, t460, t462, t464, t465, t467, t468, t470, t473, t479; -fp t484, t485, t487, t488, t491, t494, t495, t497, t499, t503; -fp t510, t514, t518, t521, t522, t537, t538, t540, t557, t560; -fp t561, t566, t570, t573, t579, t581, t582, t589, t596, t606; -fp t611, t619, t620, t622, t626, t630, t631, t636, t645, t647; -fp t649, t650, t654, t659, t660, t662, t663, t672, t675, t676; -fp t685, t686, t688, t697, t715, t719, t722, t725, t730, t747; -fp t750, t751, t752, t758, t764, t777, t779, t786, t791, t793; -fp t798, t802, t803, t805, t806, t808, t809, t811, t813, t815; -fp t817, t819, t821, t823, t825, t828, t830, t833, t835, t838; -fp t841, t843, t846, t849, t853, t866, t875, t877, t880, t883; -fp t884, t886, t889, t895, t897, t900, t902, t905, t907, t909; -fp t911, t912, t914, t924, t930, t936, t946, t948, t950, t954; -fp t956, t957, t960, t963, t966, t971, t974, t978, t980, t985; -fp t987, t988, t993, t994, t999, t1005, t1017, t1022, t1028, t1038; -fp t1043, t1044, t1048, t1051, t1057, t1066, t1068, t1073, t1081, t1088; -fp t1092, t1094, t1104, t1107, t1116, t1120, t1122, t1129, t1153, t1163; -fp t1165, t1187, t1209, t1226, t1252, t1258, t1288, t1292, t1302, t1307; -fp t1310, t1315, t1327, t1344, t1359, t1361, t1368, t1373, t1377, t1383; -fp t1394, t1409, t1418, t1431, t1461, t1464, t1465, t1466, t1472, t1474; -fp t1477, t1478, t1479, t1483, t1492, t1493, t1494, t1497, t1500, t1505; -fp t1507, t1513, t1518, t1526, t1528, t1536, t1540, t1542, t1546, t1548; -fp t1550, t1552, t1556, t1559, t1562, t1582, t1583, t1586, t1590, t1594; -fp t1595, t1598, t1607, t1612, t1615, t1618, t1623, t1626, t1644, t1656; -fp t1657, t1677, t1679, t1686, t1695, t1714, t1730, t1742, t1745, t1746; -fp t1749, t1768, t1774, t1776, t1784, t1791, t1794, t1797, t1800, t1803; -fp t1806, t1818; - t1 = g_uu_23; - t2 = 1/r; - t4 = X_ud_12; - t5 = PARTIAL_RHO(h); - t7 = X_ud_22; - t8 = PARTIAL_SIGMA(h); - t10 = yy*t2-t4*t5-t7*t8; - t11 = t1*t10; - t12 = partial_d_g_uu_313; - t14 = X_ud_13; - t16 = X_ud_23; - t18 = zz*t2-t14*t5-t16*t8; - t19 = t12*t18; - t20 = X_ud_11; - t21 = t19*t20; - t23 = g_uu_13; - t24 = t18*t18; - t25 = t23*t24; - t26 = partial_d_g_uu_113; - t29 = t1*t14; - t30 = g_uu_12; - t33 = X_ud_21; - t35 = xx*t2-t20*t5-t33*t8; - t36 = t30*t35; - t37 = xx*xx; - t38 = zz*zz; - t40 = r*r; - t42 = 1/t40/r; - t44 = X_udd_122; - t46 = X_udd_222; - t48 = t4*t4; - t49 = PARTIAL_RHO_RHO(h); - t51 = t7*t4; - t52 = PARTIAL_RHO_SIGMA(h); - t55 = t7*t7; - t56 = PARTIAL_SIGMA_SIGMA(h); - t58 = (t37+t38)*t42-t44*t5-t46*t8-t48*t49-2.0*t51*t52-t55*t56; - t59 = t36*t58; - t62 = t23*t18; - t63 = t1*t4; - t66 = X_udd_113; - t68 = X_udd_213; - t72 = t33*t14; - t74 = t20*t16; - t78 = -xx*zz*t42-t66*t5-t68*t8-t20*t14*t49-t72*t52-t74*t52-t33*t16*t56; - t82 = partial_d_g_uu_333; - t83 = t82*t24; - t86 = t1*t18; - t87 = t30*t20; - t88 = t87*t58; - t91 = g_uu_11; - t92 = t91*t35; - t93 = partial_d_g_uu_122; - t94 = t93*t10; - t95 = t94*t4; - t97 = t35*t35; - t98 = t23*t97; - t101 = t23*t35; - t104 = t23*t20; - t107 = t91*t20; - t108 = partial_d_g_uu_133; - t109 = t108*t24; - t112 = t1*t1; - t113 = t112*t24; - t115 = t30*t30; - t119 = X_udd_112; - t121 = X_udd_212; - t125 = t33*t4; - t127 = t20*t7; - t131 = -xx*yy*t42-t119*t5-t121*t8-t20*t4*t49-t125*t52-t127*t52-t33*t7*t56 -; - t132 = t35*t131; - t135 = t10*t10; - t136 = t1*t135; - t137 = g_uu_22; - t138 = X_udd_123; - t142 = t11*t21+t25*t26*t20+2.0*t29*t59+2.0*t62*t63*t78+RATIONAL(1.0,2.0)* -t63*t83+2.0*t86*t88+t92*t95+t98*t12*t14+2.0*t101*t21+RATIONAL(1.0,2.0)*t104*t83 -+RATIONAL(1.0,2.0)*t107*t109+t113*t44+2.0*t115*t4*t132+2.0*t136*t137*t138; - t143 = t30*t4; - t146 = t137*t135; - t147 = t30*t119; - t150 = g_uu_33; - t151 = t150*t18; - t152 = partial_d_g_uu_323; - t154 = t152*t10*t14; - t157 = yy*yy; - t160 = X_udd_133; - t162 = X_udd_233; - t164 = t14*t14; - t166 = t16*t14; - t169 = t16*t16; - t171 = (t37+t157)*t42-t160*t5-t162*t8-t164*t49-2.0*t166*t52-t169*t56; - t175 = t115*t10; - t182 = t23*t131; - t186 = partial_d_g_uu_223; - t188 = t186*t10*t14; - t194 = t23*t23; - t196 = t35*t78; - t199 = t194*t18; - t206 = t150*t14; - t207 = t101*t171; - t210 = t101*t160; - t213 = RATIONAL(1.0,2.0)*t143*t109+2.0*t146*t147+2.0*t151*t154+2.0*t151* -t63*t171+2.0*t175*t20*t131+RATIONAL(3.0,2.0)*t25*t108*t14+4.0*t86*t182*t14+2.0* -t86*t188+2.0*t175*t35*t119+2.0*t194*t14*t196+2.0*t199*t20*t78+2.0*t199*t35*t66+ -2.0*t206*t207+2.0*t151*t210; - t215 = t26*t35; - t216 = t215*t14; - t219 = t91*t97; - t220 = partial_d_g_uu_111; - t221 = t220*t20; - t224 = partial_d_g_uu_123; - t226 = t224*t10*t14; - t229 = t104*t171; - t235 = t137*t10; - t236 = t107*t131; - t239 = partial_d_g_uu_312; - t240 = t239*t4; - t242 = partial_d_g_uu_213; - t243 = t242*t35; - t244 = t243*t14; - t247 = t150*t150; - t248 = t247*t24; - t255 = X_udd_223; - t259 = t7*t14; - t261 = t4*t16; - t265 = -yy*zz*t42-t138*t5-t255*t8-t4*t14*t49-t259*t52-t261*t52-t7*t16*t56 -; - t266 = t1*t265; - t270 = partial_d_g_uu_212; - t271 = t270*t20; - t273 = partial_d_g_uu_322; - t274 = t273*t10; - t275 = t274*t4; - t277 = t1*t24; - t280 = 2.0*t62*t216+RATIONAL(3.0,2.0)*t219*t221+2.0*t62*t226+2.0*t151* -t229+2.0*t62*t11*t66+2.0*t235*t236+t98*t240+2.0*t86*t244+t248*t160+t136*t239* -t20+4.0*t151*t266*t14+t146*t271+t101*t275+t277*t186*t4; - t281 = t137*t4; - t282 = partial_d_g_uu_211; - t283 = t282*t97; - t286 = t36*t138; - t289 = t30*t10; - t290 = partial_d_g_uu_112; - t292 = t290*t35*t4; - t295 = partial_d_g_uu_311; - t296 = t295*t97; - t299 = t23*t78; - t303 = t92*t119; - t309 = t247*t18; - t313 = t87*t265; - t319 = t150*t24; - t320 = t82*t14; - t323 = t30*t135; - t327 = t112*t18; - t333 = X_udd_111; - t335 = X_udd_211; - t337 = t20*t20; - t339 = t33*t20; - t342 = t33*t33; - t344 = (t157+t38)*t42-t333*t5-t335*t8-t337*t49-2.0*t339*t52-t342*t56; - t345 = t107*t344; - t348 = RATIONAL(1.0,2.0)*t281*t283+2.0*t11*t286+2.0*t289*t292+RATIONAL( -1.0,2.0)*t63*t296+4.0*t151*t299*t14+2.0*t235*t303+RATIONAL(3.0,2.0)*t136*t273* -t4+2.0*t309*t171*t14+2.0*t11*t313+2.0*t98*t30*t138+RATIONAL(3.0,2.0)*t319*t320+ -RATIONAL(3.0,2.0)*t323*t93*t4+2.0*t327*t58*t14+2.0*t289*t345; - t351 = t273*t135; - t354 = t92*t333; - t359 = partial_d_g_uu_222; - t360 = t359*t10; - t361 = t360*t4; - t363 = t359*t4; - t366 = partial_d_g_uu_233; - t370 = t23*t14; - t371 = t11*t78; - t374 = t152*t18; - t375 = t374*t4; - t378 = t92*t344; - t381 = t92*t78; - t384 = t242*t18; - t385 = t384*t35; - t387 = t36*t265; - t390 = t30*t97; - t396 = RATIONAL(1.0,2.0)*t206*t351+2.0*t289*t354+RATIONAL(1.0,2.0)*t104* -t351+t36*t361+RATIONAL(3.0,2.0)*t146*t363+RATIONAL(3.0,2.0)*t277*t366*t14+2.0* -t370*t371+2.0*t11*t375+2.0*t143*t378+2.0*t63*t381+t281*t385+2.0*t63*t387+ -RATIONAL(3.0,2.0)*t390*t282*t20+t323*t290*t20; - t398 = t186*t18; - t399 = t398*t4; - t403 = t270*t10; - t404 = t403*t35; - t406 = t107*t78; - t416 = t290*t10; - t417 = t416*t20; - t419 = t186*t14; - t423 = t1*t138; - t426 = t23*t66; - t429 = t220*t97; - t432 = t62*t292+2.0*t235*t399+t235*t244+t29*t404+2.0*t11*t406+2.0*t390* -t91*t119+t289*t216+2.0*t289*t104*t78+t62*t417+t146*t419+t136*t152*t14+2.0*t319* -t423+2.0*t319*t426+RATIONAL(1.0,2.0)*t143*t429; - t440 = t36*t131; - t443 = t416*t35; - t445 = t36*t44; - t453 = t270*t4; - t454 = t453*t35; - t458 = t194*t97; - t460 = t115*t135; - t462 = t115*t97; - t464 = t91*t91; - t465 = t464*t97; - t467 = 2.0*t277*t23*t119+RATIONAL(3.0,2.0)*t98*t295*t20+2.0*t370*t440+ -t370*t443+2.0*t86*t445+2.0*t281*t59+RATIONAL(1.0,2.0)*t206*t296+t92*t226+t86* -t454+2.0*t235*t445+t458*t160+t460*t333+t462*t44+t465*t333; - t468 = t384*t20; - t470 = t92*t66; - t473 = t101*t78; - t479 = t403*t20; - t484 = t282*t35; - t485 = t484*t20; - t487 = t220*t35; - t488 = t487*t20; - t491 = t12*t35*t14; - t494 = t239*t10; - t495 = t494*t35; - t497 = t494*t20; - t499 = t101*t265; - t503 = t235*t468+2.0*t11*t470+2.0*t143*t473+2.0*t289*t101*t66+t86*t479+ -2.0*t235*t88+t86*t361+t235*t485+t289*t488+2.0*t151*t491+t206*t495+t151*t497+2.0 -*t281*t499+t62*t488; - t510 = t101*t138; - t514 = t112*t10; - t518 = t104*t265; - t521 = t295*t35; - t522 = t521*t20; - t537 = t62*t95+4.0*t36*t236+2.0*t235*t510+t86*t485+2.0*t514*t171*t4+2.0* -t235*t518+t11*t522+2.0*t86*t303+2.0*t63*t207+2.0*t36*t479+2.0*t11*t210+2.0*t11* -t229+2.0*t92*t417+t151*t522; - t538 = t240*t35; - t540 = t289*t131; - t557 = t289*t78; - t560 = t137*t265; - t561 = t560*t4; - t566 = t464*t35; - t570 = t93*t135; - t573 = t359*t135; - t579 = t151*t538+2.0*t29*t540+4.0*t101*t406+2.0*t136*t30*t66+2.0*t98*t91* -t66+2.0*t62*t36*t119+2.0*t62*t87*t131+2.0*t206*t557+4.0*t11*t561+t323*t224*t14+ -2.0*t566*t344*t20+RATIONAL(1.0,2.0)*t370*t570+RATIONAL(1.0,2.0)*t29*t573+2.0* -t175*t344*t4; - t581 = t30*t78; - t582 = t581*t4; - t589 = t143*t131; - t596 = t374*t10; - t606 = t115*t35; - t611 = t10*t265; - t619 = 4.0*t11*t582+2.0*t86*t289*t119+t151*t275+2.0*t86*t589+4.0*t101* -t313+4.0*t235*t589+t104*t596+2.0*t62*t289*t333+2.0*t151*t289*t66+2.0*t151*t582+ -2.0*t606*t58*t20+2.0*t112*t14*t611+2.0*t327*t4*t265+2.0*t101*t497; - t620 = t26*t14; - t622 = t92*t131; - t626 = t289*t344; - t630 = t224*t18; - t631 = t630*t4; - t636 = t194*t35; - t645 = t630*t10; - t647 = t194*t24; - t649 = t26*t18; - t650 = t649*t20; - t654 = t219*t620+2.0*t29*t622+t101*t375+2.0*t370*t626+t101*t154+t92*t631+ -2.0*t327*t10*t138+2.0*t636*t171*t20+2.0*t62*t143*t344+2.0*t235*t454+t107*t645+ -t647*t333+t289*t650+2.0*t86*t236; - t659 = t108*t18; - t660 = t659*t14; - t662 = t366*t18; - t663 = t662*t14; - t672 = t398*t10; - t675 = t82*t18; - t676 = t675*t14; - t685 = 2.0*t289*t631+t92*t660+t235*t663+2.0*t281*t622+2.0*t11*t538+t36* -t188+RATIONAL(1.0,2.0)*t370*t429+t87*t672+t36*t399+t101*t676+t289*t660+t11*t676 -+2.0*t62*t354+2.0*t62*t281*t131; - t686 = t290*t4; - t688 = t19*t35; - t697 = t235*t58; - t715 = t219*t686+t63*t688+t36*t663+2.0*t370*t378+RATIONAL(1.0,2.0)*t29* -t283+2.0*t206*t381+2.0*t29*t697+2.0*t62*t345+2.0*t86*t281*t58+2.0*t36*t468+2.0* -t86*t235*t44+t390*t453+2.0*t151*t313+2.0*t151*t561; - t719 = t366*t24; - t722 = t235*t131; - t725 = t12*t20; - t730 = t235*t265; - t747 = t152*t4; - t750 = 2.0*t151*t470+RATIONAL(1.0,2.0)*t281*t719+2.0*t370*t722+t319*t725+ -2.0*t62*t235*t119+2.0*t206*t730+2.0*t206*t387+2.0*t151*t11*t160+2.0*t92*t650+ -t390*t242*t14+2.0*t199*t344*t14+2.0*t151*t286+t319*t747+t11*t491; - t751 = t137*t137; - t752 = t751*t10; - t758 = t649*t35; - t764 = t11*t171; - t777 = t112*t135; - t779 = t751*t135; - t786 = 2.0*t752*t58*t4+RATIONAL(1.0,2.0)*t87*t719+t143*t758+2.0*t86*t518+ -t277*t242*t20+2.0*t206*t764+2.0*t151*t406+t25*t224*t4+2.0*t29*t499+2.0*t86*t510 -+RATIONAL(1.0,2.0)*t107*t570+t777*t160+t779*t44+2.0*t151*t235*t138+RATIONAL(1.0 -,2.0)*t87*t573; - t791 = pow(HD,1.0*RATIONAL(1.0,2.0)); - t793 = 1/t791/HD; - t798 = -t221-t271-t725-t686-t363-t747-t620-t419-t320-t91*t333-2.0*t147 --2.0*t426; - t802 = partial_d_ln_sqrt_g_1; - t803 = t91*t802; - t805 = partial_d_ln_sqrt_g_2; - t806 = t30*t805; - t808 = partial_d_ln_sqrt_g_3; - t809 = t23*t808; - t811 = t30*t802; - t813 = t137*t805; - t815 = t1*t808; - t817 = t23*t802; - t819 = t1*t805; - t821 = t150*t808; - t823 = -t137*t44-2.0*t423-t150*t160-t803*t20-t806*t20-t809*t20-t811*t4- -t813*t4-t815*t4-t817*t14-t819*t14-t821*t14; - t825 = 1/t791; - t828 = K_uu_11*t35; - t830 = K_uu_12; - t833 = t830*t10; - t835 = K_uu_13; - t838 = t835*t18; - t841 = K_uu_22*t10; - t843 = K_uu_23; - t846 = t843*t18; - t849 = K_uu_33*t18; - t853 = 1/HD; - t866 = HD*HD; - t875 = RATIONAL(3.0,2.0)*HA/t791/t866+RATIONAL(1.0,2.0)*HB*t793+HC/t866; - partial_H_wrt_partial_d_h_1 = (t142+t213+t280+t348+t396+t432+t467+t503+ -t537+t579+t619+t654+t685+t715+t750+t786)*t793+(t798+t823)*t825+(-2.0*t828*t20 --2.0*t830*t4*t35-2.0*t833*t20-2.0*t835*t14*t35-2.0*t838*t20-2.0*t841*t4-2.0* -t843*t14*t10-2.0*t846*t4-2.0*t849*t14)*t853-(-2.0*t92*t20-2.0*t143*t35-2.0*t289 -*t20-2.0*t370*t35-2.0*t62*t20-2.0*t235*t4-2.0*t29*t10-2.0*t86*t4-2.0*t151*t14)* -t875; - t877 = t215*t16; - t880 = t23*t16; - t883 = t290*t7; - t884 = t883*t35; - t886 = t220*t33; - t889 = t30*t33; - t895 = t662*t16; - t897 = t243*t16; - t900 = t675*t16; - t902 = t150*t16; - t905 = t270*t33; - t907 = t239*t7; - t909 = t659*t16; - t911 = t224*t16; - t912 = t911*t10; - t914 = 2.0*t62*t877+2.0*t880*t440+t62*t884+RATIONAL(3.0,2.0)*t219*t886+ -RATIONAL(1.0,2.0)*t889*t573+2.0*t327*t58*t16+t36*t895+2.0*t86*t897+t11*t900+2.0 -*t902*t207+t146*t905+t98*t907+t92*t909+t92*t912; - t924 = t82*t16; - t930 = t359*t7; - t936 = t23*t33; - t946 = t416*t33; - t948 = t26*t16; - t950 = 2.0*t289*t884+t101*t900+RATIONAL(3.0,2.0)*t25*t108*t16+RATIONAL( -3.0,2.0)*t277*t366*t16+RATIONAL(3.0,2.0)*t319*t924+RATIONAL(3.0,2.0)*t323*t93* -t7+RATIONAL(3.0,2.0)*t146*t930+RATIONAL(3.0,2.0)*t136*t273*t7+RATIONAL(1.0,2.0) -*t936*t351+2.0*t880*t378+2.0*t309*t171*t16+t390*t242*t16+t62*t946+t219*t948; - t954 = t630*t7; - t956 = t91*t33; - t957 = t956*t344; - t960 = t936*t265; - t963 = t36*t255; - t966 = t889*t265; - t971 = t92*t121; - t974 = t1*t16; - t978 = t487*t33; - t980 = t403*t33; - t985 = t1*t7; - t987 = t136*t239*t33+t92*t954+2.0*t62*t957+2.0*t86*t960+2.0*t151*t963+2.0 -*t151*t966+2.0*t92*t946+2.0*t235*t971+2.0*t974*t499+t974*t404+t62*t978+2.0*t36* -t980+2.0*t289*t957+t985*t688; - t988 = t30*t7; - t993 = t12*t16; - t994 = t993*t35; - t999 = t92*t335; - t1005 = t956*t131; - t1017 = t936*t171; - t1022 = 2.0*t988*t378+2.0*t11*t966+t11*t994+2.0*t985*t387+t880*t443+2.0* -t289*t999+2.0*t62*t889*t131+2.0*t235*t1005+2.0*t902*t387+2.0*t11*t963+2.0*t151* -t985*t171+2.0*t86*t971+2.0*t151*t1017+2.0*t86*t1005; - t1028 = t137*t7; - t1038 = t956*t78; - t1043 = t186*t16; - t1044 = t1043*t10; - t1048 = t36*t46; - t1051 = t889*t58; - t1057 = 2.0*t902*t381+t219*t883+2.0*t1028*t499+t86*t980+2.0*t151*t11*t162 -+2.0*t289*t101*t68+2.0*t151*t1038+2.0*t985*t381+t36*t1044+2.0*t1028*t622+2.0* -t235*t1048+2.0*t235*t1051+2.0*t62*t912+t889*t672; - t1066 = t398*t7; - t1068 = t92*t68; - t1073 = t101*t162; - t1081 = t581*t7; - t1088 = 2.0*t289*t954+t289*t909+2.0*t988*t473+2.0*t327*t10*t255+t36*t1066 -+2.0*t11*t1068+2.0*t11*t1038+2.0*t11*t1073+2.0*t11*t1017+2.0*t985*t207+t235* -t895+4.0*t11*t1081+2.0*t151*t1068+2.0*t974*t540; - t1092 = t494*t33; - t1094 = t560*t7; - t1104 = t988*t131; - t1107 = t101*t255; - t1116 = t384*t33; - t1120 = t649*t33; - t1122 = 2.0*t1028*t59+t151*t1092+4.0*t11*t1094+2.0*t235*t960+2.0*t289* -t936*t78+2.0*t151*t1073+2.0*t86*t1104+2.0*t235*t1107+2.0*t86*t289*t121+4.0*t151 -*t299*t16+t235*t1116+t235*t897+t1028*t385+t289*t1120; - t1129 = t484*t33; - t1153 = 2.0*t151*t994+RATIONAL(1.0,2.0)*t956*t109+2.0*t880*t626+t86*t1129 -+t235*t1129+2.0*t902*t557+2.0*t752*t58*t7+RATIONAL(1.0,2.0)*t936*t83+RATIONAL( -1.0,2.0)*t889*t719+2.0*t62*t289*t335+2.0*t62*t988*t344+t289*t978+2.0*t62*t999+ -2.0*t62*t11*t68; - t1163 = t521*t33; - t1165 = t907*t35; - t1187 = 2.0*t136*t30*t68+4.0*t151*t266*t16+t11*t1163+t151*t1165+RATIONAL( -1.0,2.0)*t974*t573+RATIONAL(1.0,2.0)*t880*t570+t151*t1163+2.0*t86*t1051+2.0* -t606*t58*t33+2.0*t974*t59+t956*t645+2.0*t902*t730+2.0*t390*t91*t121+2.0*t86* -t1048; - t1209 = t30*t121; - t1226 = 2.0*t62*t985*t78+2.0*t194*t16*t196+2.0*t199*t33*t78+2.0*t199*t35* -t68+2.0*t112*t16*t611+2.0*t327*t7*t265+2.0*t98*t30*t255+2.0*t146*t1209+RATIONAL -(1.0,2.0)*t902*t351+RATIONAL(1.0,2.0)*t988*t109+RATIONAL(1.0,2.0)*t1028*t719+ -2.0*t974*t697+2.0*t98*t91*t68+2.0*t151*t289*t68; - t1252 = t152*t7; - t1258 = 2.0*t62*t235*t121+2.0*t566*t344*t33+2.0*t880*t722+t777*t162+t146* -t1043+2.0*t636*t171*t33+2.0*t86*t235*t46+2.0*t86*t1028*t58+t779*t46+RATIONAL( -1.0,2.0)*t985*t83+RATIONAL(1.0,2.0)*t956*t570+t319*t1252+t277*t186*t7+t25*t224* -t7; - t1288 = t152*t16; - t1292 = 2.0*t136*t137*t255+t323*t911+2.0*t151*t1081+2.0*t151*t235*t255+ -4.0*t86*t182*t16+2.0*t880*t371+t458*t162+RATIONAL(1.0,2.0)*t880*t429+2.0*t62* -t1028*t131+2.0*t115*t7*t132+2.0*t175*t33*t131+2.0*t175*t35*t121+t136*t1288+ -RATIONAL(1.0,2.0)*t974*t283; - t1302 = t12*t33; - t1307 = t23*t68; - t1310 = t1*t255; - t1315 = t374*t7; - t1327 = RATIONAL(1.0,2.0)*t902*t296+t390*t270*t7+2.0*t199*t344*t16+t319* -t1302+2.0*t277*t23*t121+2.0*t319*t1307+2.0*t319*t1310+RATIONAL(1.0,2.0)*t988* -t429+2.0*t11*t1315+2.0*t902*t764+RATIONAL(1.0,2.0)*t1028*t283+RATIONAL(1.0,2.0) -*t985*t296+t98*t993+t25*t26*t33; - t1344 = t19*t33; - t1359 = t274*t7; - t1361 = t277*t242*t33+t323*t290*t33+2.0*t514*t171*t7+2.0*t175*t344*t7+ -RATIONAL(3.0,2.0)*t98*t295*t33+RATIONAL(3.0,2.0)*t390*t282*t33+t11*t1344+2.0* -t974*t622+2.0*t62*t36*t121+2.0*t86*t1107+2.0*t151*t1094+2.0*t235*t1066+4.0*t101 -*t1038+t151*t1359; - t1368 = t1288*t10; - t1373 = t360*t7; - t1377 = t94*t7; - t1383 = t936*t596+t289*t877+t460*t335+t462*t46+t465*t335+t101*t1368+t101* -t1315+2.0*t101*t1344+t86*t1373+4.0*t36*t1005+t62*t1377+t902*t495+t988*t758+4.0* -t101*t966; - t1394 = t270*t35*t7; - t1409 = 4.0*t235*t1104+t92*t1377+2.0*t151*t1368+2.0*t86*t1044+2.0*t101* -t1092+2.0*t235*t1394+2.0*t11*t1165+2.0*t92*t1120+2.0*t36*t1116+t36*t1373+t101* -t1359+t248*t162+t113*t46+t647*t335+t86*t1394; - t1418 = -t886-t905-t1302-t883-t930-t1252-t948-t1043-t924-t91*t335-2.0* -t1209-2.0*t1307; - t1431 = -t137*t46-2.0*t1310-t150*t162-t803*t33-t806*t33-t809*t33-t811*t7- -t813*t7-t815*t7-t817*t16-t819*t16-t821*t16; - partial_H_wrt_partial_d_h_2 = (t914+t950+t987+t1022+t1057+t1088+t1122+ -t1153+t1187+t1226+t1258+t1292+t1327+t1361+t1383+t1409)*t793+(t1418+t1431)*t825+ -(-2.0*t828*t33-2.0*t830*t7*t35-2.0*t833*t33-2.0*t835*t16*t35-2.0*t838*t33-2.0* -t841*t7-2.0*t843*t16*t10-2.0*t846*t7-2.0*t849*t16)*t853-(-2.0*t92*t33-2.0*t988* -t35-2.0*t289*t33-2.0*t880*t35-2.0*t62*t33-2.0*t235*t7-2.0*t974*t10-2.0*t86*t7 --2.0*t151*t16)*t875; - t1461 = t36*t48; - t1464 = t11*t91; - t1465 = t35*t20; - t1466 = t1465*t14; - t1472 = t11*t30; - t1474 = t35*t4*t14; - t1477 = t151*t30; - t1478 = t10*t20; - t1479 = t1478*t14; - t1483 = t101*t164; - t1492 = 2.0*t235*t1461+2.0*t1464*t1466+2.0*t62*t289*t337+2.0*t1472*t1474+ -2.0*t1477*t1479+t779*t48+2.0*t11*t1483+t462*t48+t460*t337+2.0*t277*t104*t4+t458 -*t164; - t1493 = t86*t30; - t1494 = t1478*t4; - t1497 = t235*t23; - t1500 = t63*t14; - t1505 = t151*t137; - t1507 = t10*t4*t14; - t1513 = t104*t14; - t1518 = 2.0*t1493*t1494+2.0*t1497*t1474+2.0*t319*t1500+t465*t337+t647* -t337+2.0*t1505*t1507+t248*t164+t113*t48+t777*t164+2.0*t319*t1513+2.0*t199*t1466 -; - t1526 = t289*t23; - t1528 = t62*t137; - t1536 = t62*t1; - t1540 = t136*t87*t14+t86*t235*t48+t136*t281*t14+t1526*t1466+t1528*t1494+ -t151*t11*t164+t86*t1461+t327*t1507+t98*t107*t14+t1536*t1479+t390*t107*t4; - t1542 = t87*t4; - t1546 = t1465*t4; - t1548 = t92*t337; - t1550 = t62*t30; - t1552 = t86*t91; - t1556 = t151*t91; - t1559 = t235*t91; - t1562 = t146*t1542+t98*t143*t14+t175*t1546+t62*t1548+t1550*t1546+t1552* -t1546+t151*t1483+t289*t1548+t1556*t1466+t1536*t1474+t1559*t1546+t1477*t1474; - partial_H_wrt_partial_dd_h_11 = (t1492+t1518+2.0*t1540+2.0*t1562)*t793+(- -t91*t337-2.0*t1542-2.0*t1513-t137*t48-2.0*t1500-t150*t164)*t825; - t1582 = -t72-t74; - t1583 = t92*t1582; - t1586 = -t125-t127; - t1590 = t92*t1586; - t1594 = t35*t33; - t1595 = t1594*t20; - t1598 = -t259-t261; - t1607 = t30*t1586; - t1612 = 2.0*t777*t166+4.0*t151*t1*t10*t16*t14-2.0*t151*t1583-2.0*t175*t35 -*t1586-2.0*t86*t1590+4.0*t62*t91*t1595-2.0*t98*t30*t1598-2.0*t390*t91*t1586-2.0 -*t235*t1590-2.0*t146*t1607+2.0*t113*t51; - t1615 = t35*t16*t14; - t1618 = t36*t1598; - t1623 = t23*t1582; - t1626 = t101*t1598; - t1644 = 4.0*t151*t23*t1615-2.0*t151*t1618+2.0*t460*t339-2.0*t319*t1623 --2.0*t86*t1626+2.0*t462*t51+2.0*t458*t166-2.0*t98*t91*t1582+4.0*t289*t91*t1595 --2.0*t11*t1583-2.0*t199*t35*t1582; - t1656 = t35*t7; - t1657 = t1656*t4; - t1677 = -2.0*t11*t1618+2.0*t647*t339-2.0*t136*t137*t1598-2.0*t235*t1626+ -4.0*t235*t30*t1657+4.0*t11*t23*t1615-2.0*t136*t30*t1582-2.0*t62*t235*t1586-2.0* -t277*t23*t1586-2.0*t151*t289*t1582+2.0*t465*t339; - t1679 = t10*t7; - t1686 = t10*t33; - t1695 = t1*t1598; - t1714 = 4.0*t86*t137*t1679*t4-2.0*t86*t289*t1586+4.0*t1550*t1686*t20+2.0* -t248*t166-2.0*t151*t235*t1598-2.0*t319*t1695-2.0*t327*t10*t1598-2.0*t289*t101* -t1582-2.0*t62*t11*t1582+4.0*t1493*t1657+2.0*t779*t51-2.0*t62*t36*t1586; - partial_H_wrt_partial_dd_h_12 = (t1612+t1644+t1677+t1714)*t793+(-2.0*t956 -*t20+2.0*t1607+2.0*t1623-2.0*t1028*t4+2.0*t1695-2.0*t902*t14)*t825; - t1730 = t1686*t7; - t1742 = t1656*t16; - t1745 = t458*t169+t248*t169+t465*t342+t113*t55+t462*t55+t460*t342+2.0* -t1528*t1730+2.0*t62*t289*t342+2.0*t136*t1028*t16+2.0*t136*t889*t16+2.0*t1497* -t1742; - t1746 = t889*t7; - t1749 = t1594*t16; - t1768 = t101*t169; - t1774 = 2.0*t146*t1746+2.0*t1526*t1749+2.0*t390*t956*t7+2.0*t199*t1749+ -2.0*t1493*t1730+t647*t342+2.0*t98*t988*t16+2.0*t98*t956*t16+2.0*t1464*t1749+2.0 -*t11*t1768+2.0*t277*t936*t7; - t1776 = t36*t55; - t1784 = t1594*t7; - t1791 = t1686*t16; - t1794 = t1679*t16; - t1797 = t985*t16; - t1800 = t92*t342; - t1803 = 2.0*t86*t1776+2.0*t151*t11*t169+2.0*t1556*t1749+2.0*t175*t1784+ -2.0*t235*t1776+t779*t55+t777*t169+2.0*t1477*t1791+2.0*t327*t1794+2.0*t319*t1797 -+2.0*t62*t1800; - t1806 = t936*t16; - t1818 = t86*t235*t55+t319*t1806+t1505*t1794+t1550*t1784+t1536*t1791+t151* -t1768+t1559*t1784+t289*t1800+t1472*t1742+t1477*t1742+t1552*t1784+t1536*t1742; - partial_H_wrt_partial_dd_h_22 = (t1745+t1774+t1803+2.0*t1818)*t793+(-t91* -t342-2.0*t1746-2.0*t1806-t137*t55-2.0*t1797-t150*t169)*t825; diff --git a/src/gr.cg/horizon_function.c b/src/gr.cg/horizon_function.c deleted file mode 100644 index 7e6e717..0000000 --- a/src/gr.cg/horizon_function.c +++ /dev/null @@ -1,182 +0,0 @@ -/* - * inputs = {r, partial_d_ln_sqrt_g, partial_d_g_uu, X_ud, X_udd, g_uu, K_uu, h} - * outputs = {HA, HB, HC, HD} - * cost = 134*assignments+3*divisions+5*functions+401*multiplications+173*additions - */ -fp t1, t2, t4, t5, t7, t8, t10, t11, t12, t14; -fp t16, t18, t19, t20, t23, t24, t25, t26, t29, t30; -fp t31, t33, t35, t37, t38, t40, t41, t42, t43, t45; -fp t46, t47, t48, t50, t51, t52, t53, t55, t58, t59; -fp t61, t64, t67, t68, t70, t72, t73, t75, t77, t83; -fp t84, t87, t90, t91, t93, t95, t112, t130, t134, t137; -fp t139, t143, t147, t150, t152, t159, t164, t166, t168, t176; -fp t181, t183, t199, t203, t206, t209, t213, t216, t217, t219; -fp t228, t229, t232, t235, t236, t237, t240, t243, t247, t251; -fp t254, t259, t260, t262, t263, t269, t272, t273, t276, t279; -fp t282, t283, t290, t293, t296, t299, t302, t305, t312, t315; -fp t318, t324, t325, t329, t330, t338, t358, t381, t392, t395; -fp t396, t397, t408, t411, t431, t440, t444, t447, t450, t465; - t1 = g_uu_33; - t2 = 1/r; - t4 = X_ud_13; - t5 = PARTIAL_RHO(h); - t7 = X_ud_23; - t8 = PARTIAL_SIGMA(h); - t10 = zz*t2-t4*t5-t7*t8; - t11 = t1*t10; - t12 = partial_d_g_uu_311; - t14 = X_ud_11; - t16 = X_ud_21; - t18 = xx*t2-t14*t5-t16*t8; - t19 = t18*t18; - t20 = t12*t19; - t23 = g_uu_23; - t24 = t23*t10; - t25 = partial_d_g_uu_211; - t26 = t25*t19; - t29 = g_uu_13; - t30 = t29*t19; - t31 = partial_d_g_uu_312; - t33 = X_ud_12; - t35 = X_ud_22; - t37 = yy*t2-t33*t5-t35*t8; - t38 = t31*t37; - t40 = g_uu_12; - t41 = t40*t19; - t42 = partial_d_g_uu_212; - t43 = t42*t37; - t45 = g_uu_11; - t46 = t45*t19; - t47 = partial_d_g_uu_112; - t48 = t47*t37; - t50 = g_uu_22; - t51 = t37*t37; - t52 = t50*t51; - t53 = t42*t18; - t55 = t40*t51; - t58 = partial_d_g_uu_113; - t59 = t58*t10; - t61 = t23*t51; - t64 = t29*t10; - t67 = partial_d_g_uu_213; - t68 = t67*t10; - t70 = t45*t45; - t72 = yy*yy; - t73 = zz*zz; - t75 = r*r; - t77 = 1/t75/r; - t83 = t14*t14; - t84 = PARTIAL_RHO_RHO(h); - t87 = PARTIAL_RHO_SIGMA(h); - t90 = t16*t16; - t91 = PARTIAL_SIGMA_SIGMA(h); - t93 = (t72+t73)*t77-X_udd_111*t5-X_udd_211*t8-t83*t84-2.0*t16*t14*t87-t90 -*t91; - t95 = RATIONAL(-1.0,2.0)*t11*t20+RATIONAL(-1.0,2.0)*t24*t26-t30*t38-t41* -t43-t46*t48-t52*t53-t55*t47*t18-t46*t59-t61*t31*t18-t64*t48*t18-t41*t68-t70*t19 -*t93; - t112 = -xx*yy*t77-X_udd_112*t5-X_udd_212*t8-t14*t33*t84-t16*t33*t87-t14* -t35*t87-t16*t35*t91; - t130 = -xx*zz*t77-X_udd_113*t5-X_udd_213*t8-t14*t4*t84-t16*t4*t87-t14*t7* -t87-t16*t7*t91; - t134 = t40*t37; - t137 = t51*t37; - t139 = partial_d_g_uu_322; - t143 = partial_d_g_uu_122; - t147 = partial_d_g_uu_222; - t150 = t40*t40; - t152 = xx*xx; - t159 = t33*t33; - t164 = t35*t35; - t166 = (t152+t73)*t77-X_udd_122*t5-X_udd_222*t8-t159*t84-2.0*t35*t33*t87- -t164*t91; - t168 = t29*t29; - t176 = t4*t4; - t181 = t7*t7; - t183 = (t152+t72)*t77-X_udd_133*t5-X_udd_233*t8-t176*t84-2.0*t7*t4*t87- -t181*t91; - t199 = -yy*zz*t77-X_udd_123*t5-X_udd_223*t8-t33*t4*t84-t35*t4*t87-t33*t7* -t87-t35*t7*t91; - t203 = t40*t112; - t206 = t50*t37; - t209 = -t24*t43*t18-2.0*t41*t45*t112-2.0*t30*t45*t130-t134*t59*t18+ -RATIONAL(-1.0,2.0)*t23*t137*t139+RATIONAL(-1.0,2.0)*t40*t137*t143+RATIONAL(-1.0 -,2.0)*t50*t137*t147-t150*t19*t166-t168*t19*t183-2.0*t30*t40*t199-2.0*t52*t203- -t206*t68*t18; - t213 = t50*t50; - t216 = t10*t10; - t217 = t216*t10; - t219 = partial_d_g_uu_333; - t228 = partial_d_g_uu_123; - t229 = t228*t10; - t232 = partial_d_g_uu_233; - t235 = t23*t37; - t236 = partial_d_g_uu_313; - t237 = t236*t10; - t240 = t23*t23; - t243 = t29*t18; - t247 = t243*t183; - t251 = partial_d_g_uu_133; - t254 = -t150*t51*t93-t213*t51*t166+RATIONAL(-1.0,2.0)*t1*t217*t219-2.0* -t61*t40*t130-2.0*t61*t50*t199-t55*t229+RATIONAL(-1.0,2.0)*t23*t217*t232-t235* -t237*t18-t240*t51*t183-2.0*t134*t243*t130-2.0*t235*t247+RATIONAL(-1.0,2.0)*t29* -t217*t251; - t259 = partial_d_g_uu_323; - t260 = t259*t10; - t262 = partial_d_g_uu_223; - t263 = t262*t10; - t269 = t243*t199; - t272 = t40*t18; - t273 = t272*t166; - t276 = t272*t199; - t279 = t219*t216; - t282 = t45*t18; - t283 = t251*t216; - t290 = t232*t216; - t293 = t23*t216; - t296 = -2.0*t150*t37*t18*t112-t61*t260-t52*t263-2.0*t168*t10*t18*t130-2.0 -*t206*t269-2.0*t206*t273-2.0*t235*t276+RATIONAL(-1.0,2.0)*t243*t279+RATIONAL( --1.0,2.0)*t282*t283+RATIONAL(-1.0,2.0)*t235*t279+RATIONAL(-1.0,2.0)*t134*t283+ -RATIONAL(-1.0,2.0)*t206*t290-t293*t262*t37; - t299 = t29*t216; - t302 = t147*t51; - t305 = t139*t51; - t312 = t282*t93; - t315 = t282*t130; - t318 = t282*t112; - t324 = t1*t216; - t325 = t236*t18; - t329 = -t299*t228*t37+RATIONAL(-1.0,2.0)*t272*t302+RATIONAL(-1.0,2.0)*t11 -*t305+RATIONAL(-1.0,2.0)*t24*t302+RATIONAL(-1.0,2.0)*t272*t290-2.0*t134*t312 --2.0*t235*t315-2.0*t206*t318-t30*t237-2.0*t24*t269-t324*t325-2.0*t11*t247; - t330 = t259*t37; - t338 = t143*t51; - t358 = -t324*t330-2.0*t11*t315-t272*t263*t37-2.0*t11*t276+RATIONAL(-1.0, -2.0)*t282*t338-t243*t260*t37-2.0*t64*t312-t282*t229*t37-t299*t58*t18-2.0*t24* -t273-2.0*t24*t318+RATIONAL(-1.0,2.0)*t64*t338-2.0*t64*t235*t130; - t381 = t29*t130; - t392 = t23*t199; - t395 = -2.0*t240*t10*t37*t199-2.0*t11*t235*t183-2.0*t11*t134*t130-2.0*t64 -*t134*t93-2.0*t24*t206*t166-t11*t38*t18-2.0*t293*t29*t112-2.0*t324*t381-2.0*t11 -*t206*t199-2.0*t64*t206*t112-t168*t216*t93-2.0*t324*t392; - t396 = partial_d_g_uu_111; - t397 = t396*t19; - t408 = t1*t1; - t411 = t19*t18; - t431 = RATIONAL(-1.0,2.0)*t134*t397+RATIONAL(-1.0,2.0)*t206*t26+RATIONAL( --1.0,2.0)*t235*t20+RATIONAL(-1.0,2.0)*t64*t397-t240*t216*t166-t408*t216*t183+ -RATIONAL(-1.0,2.0)*t45*t411*t396+RATIONAL(-1.0,2.0)*t40*t411*t25+RATIONAL(-1.0, -2.0)*t29*t411*t12-2.0*t24*t134*t112+RATIONAL(-1.0,2.0)*t243*t305-t293*t67*t18 --2.0*t64*t272*t112; - HA = t95+t209+t254+t296+t329+t358+t395+t431; - t440 = t396*t18+t53+t325+t48+t147*t37+t330+t59+t263+t219*t10+t45*t93+2.0* -t203+2.0*t381; - t444 = partial_d_ln_sqrt_g_1; - t447 = partial_d_ln_sqrt_g_2; - t450 = partial_d_ln_sqrt_g_3; - t465 = t50*t166+2.0*t392+t1*t183+t45*t444*t18+t40*t447*t18+t29*t450*t18+ -t40*t444*t37+t50*t447*t37+t23*t450*t37+t29*t444*t10+t23*t447*t10+t1*t450*t10; - HB = t440+t465; - HC = K_uu_11*t19+2.0*K_uu_12*t37*t18+2.0*K_uu_13*t10*t18+K_uu_22*t51+2.0* -K_uu_23*t10*t37+K_uu_33*t216; - HD = t46+2.0*t134*t18+2.0*t64*t18+t52+2.0*t24*t37+t324; |