{"header":{"message":"Dual: New thorn implementing dual numbers\n","description":null,"timestamp":"2020-02-27T21:04:30Z","authors":[{"email":"schnetter@gmail.com","name":"Erik Schnetter"}]},"hash":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC","authors":[],"deps":{"hashes":[["DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC","Dual: New thorn implementing dual numbers\n"],["AA",null]],"deps":[],"known":[]},"hunks":[{"FileAdd":{"meta":{"basename":"Dual","metadata":1005},"path":"Dual","context":[{"change":1,"pos":0}],"contents":[]}},{"FileAdd":{"meta":{"basename":"README","metadata":420},"path":"Dual/README","context":[{"change":0,"pos":7}],"contents":[{"Add":{"text":"Cactus Code Thorn Dual","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:40"}},{"Add":{"text":"Author(s) : Erik Schnetter ","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:92"}},{"Add":{"text":"Maintainer(s): Erik Schnetter ","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:144"}},{"Add":{"text":"Licence : LGPL","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:164"}},{"Add":{"text":"--------------------------------------------------------------------------","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:239"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:240"}},{"Add":{"text":"1. Purpose","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:251"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:252"}},{"Add":{"text":"Implement dual numbers .","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:320"}}]}},{"FileAdd":{"meta":{"basename":"configuration.ccl","metadata":420},"path":"Dual/configuration.ccl","context":[{"change":0,"pos":7}],"contents":[{"Add":{"text":"# Configuration definitions for thorn Dual","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:385"}}]}},{"FileAdd":{"meta":{"basename":"interface.ccl","metadata":420},"path":"Dual/interface.ccl","context":[{"change":0,"pos":7}],"contents":[{"Add":{"text":"# Interface definition for thorn Dual","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:441"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:442"}},{"Add":{"text":"IMPLEMENTS: Dual","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:459"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:460"}},{"Add":{"text":"INCLUDES HEADER: dual.hxx IN dual.hxx","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:498"}}]}},{"FileAdd":{"meta":{"basename":"param.ccl","metadata":420},"path":"Dual/param.ccl","context":[{"change":0,"pos":7}],"contents":[{"Add":{"text":"# Parameter definitions for thorn Dual","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:551"}}]}},{"FileAdd":{"meta":{"basename":"schedule.ccl","metadata":420},"path":"Dual/schedule.ccl","context":[{"change":0,"pos":7}],"contents":[{"Add":{"text":"# Schedule definitions for thorn Dual","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:606"}}]}},{"FileAdd":{"meta":{"basename":"src","metadata":1005},"path":"Dual/src","context":[{"change":0,"pos":7}],"contents":[]}},{"FileAdd":{"meta":{"basename":"dual.cxx","metadata":420},"path":"Dual/src/dual.cxx","context":[{"change":0,"pos":614}],"contents":[{"Add":{"text":"#include \"dual.hxx\"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:646"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:647"}},{"Add":{"text":"#include ","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:665"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:666"}},{"Add":{"text":"#include ","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:688"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:689"}},{"Add":{"text":"namespace Dual {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:706"}},{"Add":{"text":"using namespace std;","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:727"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:728"}},{"Add":{"text":"void TestDual() {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:746"}},{"Add":{"text":" typedef dual DREAL;","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:779"}},{"Add":{"text":" constexpr equal_to eq;","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:815"}},{"Add":{"text":" constexpr equal_to eqd;","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:848"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:849"}},{"Add":{"text":" static_assert(eq(DREAL().val, 0));","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:886"}},{"Add":{"text":" static_assert(eq(DREAL().eps, 0));","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:923"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:924"}},{"Add":{"text":" static_assert(eq(DREAL(1).val, 1));","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:962"}},{"Add":{"text":" static_assert(eq(DREAL(1).eps, 0));","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1000"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1001"}},{"Add":{"text":" static_assert(eq(DREAL(1, 2).val, 1));","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1042"}},{"Add":{"text":" static_assert(eq(DREAL(1, 2).eps, 2));","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1083"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1084"}},{"Add":{"text":" static_assert(eqd(DREAL(1, 2), DREAL(1, 2)));","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1132"}},{"Add":{"text":" static_assert(!eqd(DREAL(1, 2), DREAL(2, 3)));","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1181"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1182"}},{"Add":{"text":" static_assert(eqd(+DREAL(1, 2), DREAL(1, 2)));","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1231"}},{"Add":{"text":" static_assert(eqd(-DREAL(1, 2), DREAL(-1, -2)));","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1282"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1283"}},{"Add":{"text":" static_assert(eqd(DREAL(1, 2) + DREAL(3, 4), DREAL(4, 6)));","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1345"}},{"Add":{"text":" static_assert(eqd(DREAL(1, 2) - DREAL(3, 4), DREAL(-2, -2)));","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1409"}},{"Add":{"text":" static_assert(eqd(2 * DREAL(3, 4), DREAL(6, 8)));","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1461"}},{"Add":{"text":" static_assert(eqd(DREAL(3, 4) * 2, DREAL(6, 8)));","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1513"}},{"Add":{"text":" static_assert(eqd(DREAL(3, 4) / 2, DREAL(1.5, 2)));","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1567"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1568"}},{"Add":{"text":" static_assert(eqd(DREAL(2, 3) * DREAL(4, 5), DREAL(8, 22)));","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1631"}},{"Add":{"text":" static_assert(eqd(DREAL(4, 5) / DREAL(2, 3), DREAL(2, -0.5)));","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1696"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1697"}},{"Add":{"text":" static_assert(eqd(sqrt(DREAL(4, 3)), DREAL(2, 0.75)));","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1754"}},{"Add":{"text":"}","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1756"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1757"}},{"Add":{"text":"} // namespace Dual","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1777"}}]}},{"FileAdd":{"meta":{"basename":"dual.hxx","metadata":420},"path":"Dual/src/dual.hxx","context":[{"change":0,"pos":614}],"contents":[{"Add":{"text":"#include ","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1809"}},{"Add":{"text":"#include ","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1826"}},{"Add":{"text":"#include ","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1848"}},{"Add":{"text":"#include ","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1867"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1868"}},{"Add":{"text":"namespace Dual {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1885"}},{"Add":{"text":"using namespace std;","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1906"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1907"}},{"Add":{"text":"template struct dual {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1943"}},{"Add":{"text":" T val, eps;","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1957"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1958"}},{"Add":{"text":" dual(const dual &) = default;","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:1990"}},{"Add":{"text":" dual(dual &&) = default;","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2017"}},{"Add":{"text":" dual &operator=(const dual &) = default;","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2060"}},{"Add":{"text":" dual &operator=(dual &&) = default;","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2098"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2099"}},{"Add":{"text":" constexpr dual() : val(), eps() {}","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2136"}},{"Add":{"text":" constexpr dual(const T &x) : val(x), eps() {}","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2184"}},{"Add":{"text":" constexpr dual(const T &x, const T &y) : val(x), eps(y) {}","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2245"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2246"}},{"Add":{"text":" friend constexpr dual operator+(const dual &x) { return {+x.val, +x.eps}; }","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2324"}},{"Add":{"text":" friend constexpr dual operator-(const dual &x) { return {-x.val, -x.eps}; }","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2402"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2403"}},{"Add":{"text":" friend constexpr dual operator+(const dual &x, const dual &y) {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2469"}},{"Add":{"text":" return {x.val + y.val, x.eps + y.eps};","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2512"}},{"Add":{"text":" }","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2516"}},{"Add":{"text":" friend constexpr dual operator-(const dual &x, const dual &y) {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2582"}},{"Add":{"text":" return {x.val - y.val, x.eps - y.eps};","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2625"}},{"Add":{"text":" }","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2629"}},{"Add":{"text":" friend constexpr dual operator+(const dual &x, const T &y) {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2692"}},{"Add":{"text":" return {x.val + y, x.eps};","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2723"}},{"Add":{"text":" }","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2727"}},{"Add":{"text":" friend constexpr dual operator-(const dual &x, const T &y) {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2790"}},{"Add":{"text":" return {x.val - y, x.eps};","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2821"}},{"Add":{"text":" }","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2825"}},{"Add":{"text":" friend constexpr dual operator*(const dual &x, const T &y) {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2888"}},{"Add":{"text":" return {x.val * y, x.eps * y};","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2923"}},{"Add":{"text":" }","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2927"}},{"Add":{"text":" friend constexpr dual operator*(const T &x, const dual &y) {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:2990"}},{"Add":{"text":" return {x * y.val, x * y.eps};","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3025"}},{"Add":{"text":" }","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3029"}},{"Add":{"text":" friend constexpr dual operator/(const dual &x, const T &y) {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3092"}},{"Add":{"text":" return {x.val / y, x.eps / y};","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3127"}},{"Add":{"text":" }","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3131"}},{"Add":{"text":" friend constexpr dual operator/(const dual &x, const dual &y) {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3197"}},{"Add":{"text":" return {x.val / y.val, (x.eps * y.val - x.val * y.eps) / (y.val * y.val)};","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3276"}},{"Add":{"text":" }","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3280"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3281"}},{"Add":{"text":" friend constexpr dual operator*(const dual &x, const dual &y) {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3347"}},{"Add":{"text":" return {x.val * y.val, x.val * y.eps + x.eps * y.val};","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3406"}},{"Add":{"text":" }","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3410"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3411"}},{"Add":{"text":" dual &operator+=(const dual &x) { return *this = *this + x; }","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3475"}},{"Add":{"text":" dual &operator-=(const dual &x) { return *this = *this - x; }","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3539"}},{"Add":{"text":" dual &operator*=(const T &x) { return *this = *this * x; }","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3600"}},{"Add":{"text":" dual &operator/=(const T &x) { return *this = *this / x; }","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3661"}},{"Add":{"text":" dual &operator*=(const dual &x) { return *this = *this * x; }","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3725"}},{"Add":{"text":" dual &operator/=(const dual &x) { return *this = *this / x; }","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3789"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3790"}},{"Add":{"text":" friend constexpr bool operator==(const dual &x, const dual &y) {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3857"}},{"Add":{"text":" return x.val == y.val;","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3884"}},{"Add":{"text":" };","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3889"}},{"Add":{"text":" friend constexpr bool operator<(const dual &x, const dual &y) {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3955"}},{"Add":{"text":" return x.val < y.val;","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3981"}},{"Add":{"text":" };","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3986"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:3987"}},{"Add":{"text":" friend constexpr bool operator!=(const dual &x, const dual &y) {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4054"}},{"Add":{"text":" return !(x == y);","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4076"}},{"Add":{"text":" }","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4080"}},{"Add":{"text":" friend constexpr bool operator>(const dual &x, const dual &y) {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4146"}},{"Add":{"text":" return y < x;","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4164"}},{"Add":{"text":" }","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4168"}},{"Add":{"text":" friend constexpr bool operator<=(const dual &x, const dual &y) {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4235"}},{"Add":{"text":" return !(x > y);","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4256"}},{"Add":{"text":" }","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4260"}},{"Add":{"text":" friend constexpr bool operator>=(const dual &x, const dual &y) {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4327"}},{"Add":{"text":" return !(x < y);","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4348"}},{"Add":{"text":" }","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4352"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4353"}},{"Add":{"text":" friend ostream &operator<<(ostream &os, const dual &x) {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4412"}},{"Add":{"text":" return os << x.val << \"+eps*\" << x.val;","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4456"}},{"Add":{"text":" }","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4460"}},{"Add":{"text":"};","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4463"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4464"}},{"Add":{"text":"} // namespace Dual","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4484"}},{"Add":{"text":"namespace std {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4500"}},{"Add":{"text":"template using dual = Dual::dual;","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4550"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4551"}},{"Add":{"text":"template struct equal_to > {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4601"}},{"Add":{"text":" constexpr bool operator()(const dual &x, const dual &y) const {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4673"}},{"Add":{"text":" return equal_to()(x.val, y.val) && equal_to()(x.eps, y.eps);","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4744"}},{"Add":{"text":" }","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4748"}},{"Add":{"text":"};","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4751"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4752"}},{"Add":{"text":"template struct less > {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4798"}},{"Add":{"text":" constexpr bool operator()(const dual &x, const dual &y) const {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4870"}},{"Add":{"text":" return less(x.val, y.val) ||","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4906"}},{"Add":{"text":" (equal_to(x.val, y.val) && less(x.eps, y.eps));","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4971"}},{"Add":{"text":" }","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4975"}},{"Add":{"text":"};","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4978"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:4979"}},{"Add":{"text":"template constexpr dual cos(const dual &x);","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5042"}},{"Add":{"text":"template constexpr dual exp(const dual &x);","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5105"}},{"Add":{"text":"template constexpr dual fabs(const dual &x);","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5169"}},{"Add":{"text":"template constexpr dual pow2(const dual &x);","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5233"}},{"Add":{"text":"template constexpr dual sin(const dual &x);","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5296"}},{"Add":{"text":"template constexpr dual sqrt(const dual &x);","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5360"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5361"}},{"Add":{"text":"template constexpr dual cos(const dual &x) {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5425"}},{"Add":{"text":" return {cos(x.val), -sin(x.val) * x.eps};","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5469"}},{"Add":{"text":"}","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5471"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5472"}},{"Add":{"text":"template constexpr dual exp(const dual &x) {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5536"}},{"Add":{"text":" auto r = exp(x.val);","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5559"}},{"Add":{"text":" return {r, r * x.eps};","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5584"}},{"Add":{"text":"}","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5586"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5587"}},{"Add":{"text":"template constexpr dual fabs(const dual &x) {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5652"}},{"Add":{"text":" return sqrt(pow2(x));","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5676"}},{"Add":{"text":"}","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5678"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5679"}},{"Add":{"text":"template constexpr dual pow2(const dual &x) { return x * x; }","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5760"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5761"}},{"Add":{"text":"template constexpr dual sin(const dual &x) {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5825"}},{"Add":{"text":" return {sin(x.val), cos(x.val) * x.eps};","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5868"}},{"Add":{"text":"}","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5870"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5871"}},{"Add":{"text":"template constexpr dual sqrt(const dual &x) {","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5936"}},{"Add":{"text":" auto r = sqrt(x.val);","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5960"}},{"Add":{"text":" return {r, x.eps / (2 * r)};","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5991"}},{"Add":{"text":"}","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:5993"}},{"Add":{"text":"} // namespace std","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:6012"}}]}},{"FileAdd":{"meta":{"basename":"make.code.defn","metadata":420},"path":"Dual/src/make.code.defn","context":[{"change":0,"pos":614}],"contents":[{"Add":{"text":"# Main make.code.defn file for thorn Dual","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:6073"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:6074"}},{"Add":{"text":"# Source files in this directory","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:6107"}},{"Add":{"text":"SRCS = dual.cxx","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:6123"}},{"Add":{"text":"","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:6124"}},{"Add":{"text":"# Subdirectories containing source files","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:6165"}},{"Add":{"text":"SUBDIRS =","pos":"DBMXGY4DEQNQQ2G3B66DMPIVNUOLHAJ2QJ6BBNPASUUTTHXLPV2AC:6175"}}]}}],"owner":"eschnett","repo":"cactusamrex","login":null}

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