#include #include #include "inmost.h" using namespace INMOST; int main(int argc,char ** argv) { int test = 0; if (argc > 1) test = atoi(argv[1]); double x = 0.5; double y = 0.25; double z = 0.15; double dx, dy, dz, dxdx, dydy, dzdz, dxdy, dxdz, dydz; unknown vx(x,0), vy(y,1), vz(z,2); hessian_variable f; if( test == 0 ) //check derivative and hessian of sin(x*x+y*y) { double arg = 8*((z-0.5)*(z-0.5)+(y-0.5)*(y-0.5)+(x-0.5)*(x-0.5)); dx = 2*sin(arg)+16*(x-0.5)*(2*x-1)*cos(arg); dy = 16*(2*x-1)*(y-0.5)*cos(arg); dz = 16*(2*x-1)*cos(arg)*(z-0.5); dxdx = -256*(x-0.5)*(x-0.5)*(2*x-1)*sin(arg)+16*(2*x-1)*cos(arg)+64*(x-0.5)*cos(arg); dxdy = 32*(y-0.5)*cos(arg)-256*(x-0.5)*(2*x-1)*(y-0.5)*sin(arg); dxdz = 32*cos(arg)*(z-0.5)-256*(x-0.5)*(2*x-1)*sin(arg)*(z-0.5); dydy = 16*(2*x-1)*cos(arg)-256*(2*x-1)*(y-0.5)*(y-0.5)*sin(arg); dydz = -256*(2*x-1)*(y-0.5)*sin(arg)*(z-0.5); dzdz = 16*(2*x-1)*cos(arg)-256*(2*x-1)*sin(arg)*(z-0.5)*(z-0.5); f = sin(8*((vx-0.5)*(vx-0.5)+(vy-0.5)*(vy-0.5)+(vz-0.5)*(vz-0.5)))*(2*vx-1); } //mixed derivative computed twice: dxdy and dydx dxdy *= 2; dxdz *= 2; dydz *= 2; double vdx = f.GetRow()[0]; double vdy = f.GetRow()[1]; double vdz = f.GetRow()[2]; double vdxdx = f.GetHessianRow()[Sparse::HessianRow::make_index(0,0)]; double vdydy = f.GetHessianRow()[Sparse::HessianRow::make_index(1,1)]; double vdzdz = f.GetHessianRow()[Sparse::HessianRow::make_index(2,2)]; double vdxdy = f.GetHessianRow()[Sparse::HessianRow::make_index(0,1)]; double vdxdz = f.GetHessianRow()[Sparse::HessianRow::make_index(0,2)]; double vdydz = f.GetHessianRow()[Sparse::HessianRow::make_index(1,2)]; bool error = false; std::cout << std::setw(10) << "derivative " << std::setw(10) << "original " << std::setw(10) << "computed" << std::endl; std::cout << std::setw(10) << "dx " << std::setw(10) << dx << std::setw(10) << vdx << std::endl; std::cout << std::setw(10) << "dy " << std::setw(10) << dy << std::setw(10) << vdy << std::endl; std::cout << std::setw(10) << "dz " << std::setw(10) << dz << std::setw(10) << vdz << std::endl; std::cout << std::setw(10) << "dxdx " << std::setw(10) << dxdx << std::setw(10) << vdxdx << std::endl; std::cout << std::setw(10) << "dxdy " << std::setw(10) << dxdy << std::setw(10) << vdxdy << std::endl; std::cout << std::setw(10) << "dxdz " << std::setw(10) << dxdz << std::setw(10) << vdxdz << std::endl; std::cout << std::setw(10) << "dydy " << std::setw(10) << dydy << std::setw(10) << vdydy << std::endl; std::cout << std::setw(10) << "dydz " << std::setw(10) << dydz << std::setw(10) << vdydz << std::endl; std::cout << std::setw(10) << "dzdz " << std::setw(10) << dzdz << std::setw(10) << vdzdz << std::endl; if( std::abs(dx-vdx) > 1.0e-9 ) error = true, std::cout << "Error in dx: " << std::abs(dx-vdx) << " original " << dx << " computed " << vdx << std::endl; if( std::abs(dy-vdy) > 1.0e-9 ) error = true, std::cout << "Error in dy: " << std::abs(dy-vdy) << " original " << dy << " computed " << vdy << std::endl; if( std::abs(dz-vdz) > 1.0e-9 ) error = true, std::cout << "Error in dz: " << std::abs(dz-vdz) << " original " << dz << " computed " << vdz << std::endl; if( std::abs(dxdx-vdxdx) > 1.0e-9 ) error = true, std::cout << "Error in dxdx: " << std::abs(dxdx-vdxdx) << " original " << dxdx << " computed " << vdxdx << std::endl; if( std::abs(dxdy-vdxdy) > 1.0e-9 ) error = true, std::cout << "Error in dxdy: " << std::abs(dxdy-vdxdy) << " original " << dxdy << " computed " << vdxdy << std::endl; if( std::abs(dxdz-vdxdz) > 1.0e-9 ) error = true, std::cout << "Error in dxdz: " << std::abs(dxdz-vdxdz) << " original " << dxdz << " computed " << vdxdz << std::endl; if( std::abs(dydy-vdydy) > 1.0e-9 ) error = true, std::cout << "Error in dydy: " << std::abs(dydy-vdydy) << " original " << dydy << " computed " << vdydy << std::endl; if( std::abs(dydz-vdydz) > 1.0e-9 ) error = true, std::cout << "Error in dydz: " << std::abs(dydz-vdydz) << " original " << dydz << " computed " << vdydz << std::endl; if( std::abs(dzdz-vdzdz) > 1.0e-9 ) error = true, std::cout << "Error in dzdz: " << std::abs(dzdz-vdzdz) << " original " << dzdz << " computed " << vdzdz << std::endl; if( error ) return -1; return 0; }