计算精度

时间:2015-04-25 16:37:13

标签: matlab fortran double-precision

我在Fortran上使用双精度变量进行计算,计算后变量得到值-7.217301636365630e-24

但是,当我在Matlab中进行相同的计算时,变量只获得值0。有没有办法在进行计算时提高MatLAB的精度,以便我能够获得7e-24的顺序?

理想情况下,我可以将其应用于脚本中的所有计算,而不仅仅是单个变量。类似于使用format long时的内容。

对我而言,这种精确度至关重要,因为我需要确定变量是否确实是否定的。

我添加了代码。这是相当长的,但我无法进一步修剪它而不丢弃变量及其精度。最后一个术语Ax(i,:,:)是我希望具有非常高精度的术语。所以重要的事情只发生在最后一行。

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% CONSTANTS
clc
clear all

sym_weight     = [4/9, 1/9,1/9,1/9,1/9, 1/36,1/36,1/36,1/36];


dir_x  = [  0,   1,  0, -1,  0,    1,  -1,  -1,   1];
dir_y  = [  0,   0,  1,  0, -1,    1,   1,  -1,  -1];



ly = 11; lx = ly;
xC = 5; yC=xC;    

density_high = 1.0;
density_low = 0.1;
radius  = 2;
interface_w = 1;
sigma_st = 0.0001;


beta  = 12*sigma_st/(interface_w*(density_high-density_low)^4);
kappa = 1.5*sigma_st*interface_w/(density_high-density_low)^2;





saturated_density = 0.5*(density_high+density_low);
for x=1:lx
    for y=1:ly
        for i=1:9
            fIn(i, x, y) = sym_weight(i)*density_high;
            gIn(i, x, y) = 3*sym_weight(i);

            test_radius = sqrt((x-xC)^2 + (y-yC)^2);
            if(test_radius <= (radius+interface_w))
                fIn(i, x, y) = sym_weight(i)*( saturated_density - 0.5*(density_high-density_low)*tanh(2*(radius-sqrt((x-xC)^2 + (y-yC)^2))/interface_w) );
            end
        end
    end
end




density_2d = ones(lx)*saturated_density;
for i=1:lx
    density_aux(:,:,i) = abs(density_2d(:, i)');
end



density_local             = sum(fIn);
L_density_local           = (+1.0*(circshift(density_local(1,:,:), [0, +1, +1]) + circshift(density_local(1,:,:), [0, -1, +1]) + circshift(density_local(1,:,:), [0, +1, -1]) + circshift(density_local(1,:,:), [0, -1, -1])) + ...
                             +4.0*(circshift(density_local(1,:,:), [0, +1, +0]) + circshift(density_local(1,:,:), [0, -1, +0]) + circshift(density_local(1,:,:), [0, +0, +1]) + circshift(density_local(1,:,:), [0, +0, -1])) + ...
                             -20.0*density_local(1,:,:));
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%




chem_pot   = 4*beta*(density_local-density_low).*(density_local-density_high).*(density_local-density_aux) - kappa*L_density_local/6;






for i=3
    Ax(i,:,:)            =     (+circshift(chem_pot(1,:,:), [0,-2*dir_x(i),-2*dir_y(i)]) -             chem_pot(1,:,:));                                          
end 

1 个答案:

答案 0 :(得分:3)

你没有展示过fortran代码,但请注意在Fortran中,当你这样做时:

 density_low = 0.1

无论0.1的类型如何,文字density_low都是单精度。 所有这些文字都需要表示为0.1D00.1_k,其中k是适当的种类整数。

(对不起,如果你知道,但这是一个常见的错误)