GaussLegendre1D.h File Reference

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Functions
void	gmshGaussLegendre1D (int nbQuadPoints, double **t, double **w)

Variables
static double	GL_pt1 [1] = {0.000000000000000e+00}
static double	GL_wt1 [1] = {2.000000000000000e+00}
static double	GL_pt2 [2] = {-5.773502691896257e-01, 5.773502691896257e-01}
static double	GL_wt2 [2] = {1.000000000000000e+00, 1.000000000000000e+00}
static double	GL_pt3 [3]
static double	GL_wt3 [3]
static double	GL_pt4 [4]
static double	GL_wt4 [4]
static double	GL_pt5 [5]
static double	GL_wt5 [5]
static double	GL_pt6 [6]
static double	GL_wt6 [6]
static double	GL_pt7 [7]
static double	GL_wt7 [7]
static double	GL_pt8 [8]
static double	GL_wt8 [8]
static double	GL_pt9 [9]
static double	GL_wt9 [9]
static double	GL_pt10 [10]
static double	GL_wt10 [10]
static double	GL_pt11 [11]
static double	GL_wt11 [11]
static double	GL_pt12 [12]
static double	GL_wt12 [12]
static double	GL_pt13 [13]
static double	GL_wt13 [13]
static double	GL_pt14 [14]
static double	GL_wt14 [14]
static double	GL_pt15 [15]
static double	GL_wt15 [15]
static double	GL_pt16 [16]
static double	GL_wt16 [16]
static double	GL_pt20 [20]
static double	GL_wt20 [20]

Function Documentation

gmshGaussLegendre1D()

void gmshGaussLegendre1D ( int  nbQuadPoints, double **  t, double **  w  )

inline

Definition at line 217 of file GaussLegendre1D.h.

Referenced by GaussLegendreTet(), GaussLegendreTri(), getGQHPts(), getGQLPts(), getGQPriPts(), getGQPyrPts(), getGQQPts(), and GEdge::length().

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Variable Documentation

GL_pt1

double GL_pt1[1] = {0.000000000000000e+00}

static

Definition at line 7 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_pt10

double GL_pt10[10]

static

Initial value:

= {-9.739065285171716e-01, -8.650633666889845e-01,
                             -6.794095682990244e-01, -4.333953941292472e-01,
                             -1.488743389816312e-01, 1.488743389816312e-01,
                             4.333953941292472e-01,  6.794095682990244e-01,
                             8.650633666889845e-01,  9.739065285171716e-01}

Definition at line 90 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_pt11

double GL_pt11[11]

static

Initial value:

= {
  -9.782286581460570e-01, -8.870625997680953e-01, -7.301520055740494e-01,
  -5.190961292068118e-01, -2.695431559523450e-01, 0.000000000000000e+00,
  2.695431559523450e-01,  5.190961292068118e-01,  7.301520055740494e-01,
  8.870625997680953e-01,  9.782286581460570e-01}

Definition at line 104 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_pt12

double GL_pt12[12]

static

Initial value:

= {
  -9.815606342467192e-01, -9.041172563704748e-01, -7.699026741943047e-01,
  -5.873179542866175e-01, -3.678314989981802e-01, -1.252334085114689e-01,
  1.252334085114689e-01,  3.678314989981802e-01,  5.873179542866175e-01,
  7.699026741943047e-01,  9.041172563704748e-01,  9.815606342467192e-01}

Definition at line 118 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_pt13

double GL_pt13[13]

static

Initial value:

= {
  -9.841830547185881e-01, -9.175983992229780e-01, -8.015780907333099e-01,
  -6.423493394403402e-01, -4.484927510364468e-01, -2.304583159551348e-01,
  1.232595164407831e-32,  2.304583159551348e-01,  4.484927510364468e-01,
  6.423493394403402e-01,  8.015780907333099e-01,  9.175983992229780e-01,
  9.841830547185881e-01}

Definition at line 132 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_pt14

double GL_pt14[14]

static

Initial value:

= {
  -9.862838086968123e-01, -9.284348836635736e-01, -8.272013150697650e-01,
  -6.872929048116855e-01, -5.152486363581541e-01, -3.191123689278897e-01,
  -1.080549487073437e-01, 1.080549487073437e-01,  3.191123689278897e-01,
  5.152486363581541e-01,  6.872929048116855e-01,  8.272013150697650e-01,
  9.284348836635736e-01,  9.862838086968123e-01}

Definition at line 148 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_pt15

double GL_pt15[15]

static

Initial value:

= {
  -9.879925180204854e-01, -9.372733924007060e-01, -8.482065834104272e-01,
  -7.244177313601701e-01, -5.709721726085388e-01, -3.941513470775634e-01,
  -2.011940939974345e-01, 1.232595164407831e-32,  2.011940939974345e-01,
  3.941513470775634e-01,  5.709721726085388e-01,  7.244177313601701e-01,
  8.482065834104272e-01,  9.372733924007060e-01,  9.879925180204854e-01}

Definition at line 164 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_pt16

double GL_pt16[16]

static

Initial value:

= {
  -9.894009349916499e-01, -9.445750230732326e-01, -8.656312023878318e-01,
  -7.554044083550030e-01, -6.178762444026438e-01, -4.580167776572274e-01,
  -2.816035507792589e-01, -9.501250983763744e-02, 9.501250983763744e-02,
  2.816035507792589e-01,  4.580167776572274e-01,  6.178762444026438e-01,
  7.554044083550030e-01,  8.656312023878318e-01,  9.445750230732326e-01,
  9.894009349916499e-01}

Definition at line 180 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_pt2

double GL_pt2[2] = {-5.773502691896257e-01, 5.773502691896257e-01}

static

Definition at line 13 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_pt20

double GL_pt20[20]

static

Initial value:

= {
  -9.931285991850949e-01, -9.639719272779138e-01, -9.122344282513259e-01,
  -8.391169718222188e-01, -7.463319064601508e-01, -6.360536807265150e-01,
  -5.108670019508271e-01, -3.737060887154196e-01, -2.277858511416451e-01,
  -7.652652113349733e-02, 7.652652113349733e-02,  2.277858511416451e-01,
  3.737060887154196e-01,  5.108670019508271e-01,  6.360536807265150e-01,
  7.463319064601508e-01,  8.391169718222188e-01,  9.122344282513259e-01,
  9.639719272779138e-01,  9.931285991850949e-01}

Definition at line 198 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_pt3

double GL_pt3[3]

static

Initial value:

= {-7.745966692414834e-01, 0.000000000000000e+00,
                           7.745966692414834e-01}

Definition at line 19 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_pt4

double GL_pt4[4]

static

Initial value:

= {-8.611363115940526e-01, -3.399810435848563e-01,
                           3.399810435848563e-01, 8.611363115940526e-01}

Definition at line 27 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_pt5

double GL_pt5[5]

static

Initial value:

= {-9.061798459386640e-01, -5.384693101056831e-01,
                           0.000000000000000e+00, 5.384693101056831e-01,
                           9.061798459386640e-01}

Definition at line 35 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_pt6

double GL_pt6[6]

static

Initial value:

= {-9.324695142031521e-01, -6.612093864662646e-01,
                           -2.386191860831969e-01, 2.386191860831969e-01,
                           6.612093864662646e-01,  9.324695142031521e-01}

Definition at line 45 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_pt7

double GL_pt7[7]

static

Initial value:

= {-9.491079123427585e-01, -7.415311855993945e-01,
                           -4.058451513773972e-01, 0.000000000000000e+00,
                           4.058451513773972e-01,  7.415311855993945e-01,
                           9.491079123427585e-01}

Definition at line 54 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_pt8

double GL_pt8[8]

static

Initial value:

= {-9.602898564975363e-01, -7.966664774136268e-01,
                           -5.255324099163290e-01, -1.834346424956498e-01,
                           1.834346424956498e-01,  5.255324099163290e-01,
                           7.966664774136268e-01,  9.602898564975363e-01}

Definition at line 66 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D(), and lengthPathInMetricField().

GL_pt9

double GL_pt9[9]

static

Initial value:

= {
  -9.681602395076261e-01, -8.360311073266359e-01, -6.133714327005905e-01,
  -3.242534234038089e-01, 0.000000000000000e+00,  3.242534234038089e-01,
  6.133714327005905e-01,  8.360311073266359e-01,  9.681602395076261e-01}

Definition at line 78 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_wt1

double GL_wt1[1] = {2.000000000000000e+00}

static

Definition at line 10 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_wt10

double GL_wt10[10]

static

Initial value:

= {6.667134430868774e-02, 1.494513491505805e-01,
                             2.190863625159822e-01, 2.692667193099962e-01,
                             2.955242247147529e-01, 2.955242247147529e-01,
                             2.692667193099962e-01, 2.190863625159822e-01,
                             1.494513491505805e-01, 6.667134430868774e-02}

Definition at line 97 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_wt11

double GL_wt11[11]

static

Initial value:

= {
  5.566856711617354e-02, 1.255803694649047e-01, 1.862902109277343e-01,
  2.331937645919903e-01, 2.628045445102466e-01, 2.729250867779006e-01,
  2.628045445102466e-01, 2.331937645919903e-01, 1.862902109277343e-01,
  1.255803694649047e-01, 5.566856711617354e-02}

Definition at line 111 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_wt12

double GL_wt12[12]

static

Initial value:

= {
  4.717533638651183e-02, 1.069393259953182e-01, 1.600783285433463e-01,
  2.031674267230658e-01, 2.334925365383548e-01, 2.491470458134029e-01,
  2.491470458134029e-01, 2.334925365383548e-01, 2.031674267230658e-01,
  1.600783285433463e-01, 1.069393259953182e-01, 4.717533638651183e-02}

Definition at line 125 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_wt13

double GL_wt13[13]

static

Initial value:

= {
  4.048400476531581e-02, 9.212149983772838e-02, 1.388735102197872e-01,
  1.781459807619457e-01, 2.078160475368884e-01, 2.262831802628971e-01,
  2.325515532308739e-01, 2.262831802628971e-01, 2.078160475368884e-01,
  1.781459807619457e-01, 1.388735102197872e-01, 9.212149983772838e-02,
  4.048400476531581e-02}

Definition at line 140 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_wt14

double GL_wt14[14]

static

Initial value:

= {
  3.511946033175199e-02, 8.015808715976037e-02, 1.215185706879031e-01,
  1.572031671581936e-01, 1.855383974779378e-01, 2.051984637212955e-01,
  2.152638534631578e-01, 2.152638534631578e-01, 2.051984637212955e-01,
  1.855383974779378e-01, 1.572031671581936e-01, 1.215185706879031e-01,
  8.015808715976037e-02, 3.511946033175199e-02}

Definition at line 156 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_wt15

double GL_wt15[15]

static

Initial value:

= {
  3.075324199611663e-02, 7.036604748810814e-02, 1.071592204671720e-01,
  1.395706779261543e-01, 1.662692058169940e-01, 1.861610000155622e-01,
  1.984314853271116e-01, 2.025782419255613e-01, 1.984314853271116e-01,
  1.861610000155622e-01, 1.662692058169940e-01, 1.395706779261543e-01,
  1.071592204671720e-01, 7.036604748810814e-02, 3.075324199611663e-02}

Definition at line 172 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_wt16

double GL_wt16[16]

static

Initial value:

= {
  2.715245941175406e-02, 6.225352393864778e-02, 9.515851168249290e-02,
  1.246289712555339e-01, 1.495959888165768e-01, 1.691565193950026e-01,
  1.826034150449236e-01, 1.894506104550685e-01, 1.894506104550685e-01,
  1.826034150449236e-01, 1.691565193950026e-01, 1.495959888165768e-01,
  1.246289712555339e-01, 9.515851168249290e-02, 6.225352393864778e-02,
  2.715245941175406e-02}

Definition at line 189 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_wt2

double GL_wt2[2] = {1.000000000000000e+00, 1.000000000000000e+00}

static

Definition at line 16 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_wt20

double GL_wt20[20]

static

Initial value:

= {
  1.761400713915212e-02, 4.060142980038694e-02, 6.267204833410906e-02,
  8.327674157670475e-02, 1.019301198172404e-01, 1.181945319615184e-01,
  1.316886384491766e-01, 1.420961093183821e-01, 1.491729864726037e-01,
  1.527533871307259e-01, 1.527533871307259e-01, 1.491729864726037e-01,
  1.420961093183821e-01, 1.316886384491766e-01, 1.181945319615184e-01,
  1.019301198172404e-01, 8.327674157670475e-02, 6.267204833410906e-02,
  4.060142980038694e-02, 1.761400713915212e-02}

Definition at line 208 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_wt3

double GL_wt3[3]

static

Initial value:

= {5.555555555555552e-01, 8.888888888888888e-01,
                           5.555555555555552e-01}

Definition at line 23 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_wt4

double GL_wt4[4]

static

Initial value:

= {3.478548451374537e-01, 6.521451548625464e-01,
                           6.521451548625464e-01, 3.478548451374537e-01}

Definition at line 31 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_wt5

double GL_wt5[5]

static

Initial value:

= {2.369268850561890e-01, 4.786286704993665e-01,
                           5.688888888888889e-01, 4.786286704993665e-01,
                           2.369268850561890e-01}

Definition at line 40 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_wt6

double GL_wt6[6]

static

Initial value:

= {1.713244923791705e-01, 3.607615730481386e-01,
                           4.679139345726913e-01, 4.679139345726913e-01,
                           3.607615730481386e-01, 1.713244923791705e-01}

Definition at line 50 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_wt7

double GL_wt7[7]

static

Initial value:

= {1.294849661688697e-01, 2.797053914892767e-01,
                           3.818300505051190e-01, 4.179591836734694e-01,
                           3.818300505051190e-01, 2.797053914892767e-01,
                           1.294849661688697e-01}

Definition at line 60 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().

GL_wt8

double GL_wt8[8]

static

Initial value:

= {1.012285362903768e-01, 2.223810344533745e-01,
                           3.137066458778874e-01, 3.626837833783620e-01,
                           3.626837833783620e-01, 3.137066458778874e-01,
                           2.223810344533745e-01, 1.012285362903768e-01}

Definition at line 72 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D(), and lengthPathInMetricField().

GL_wt9

double GL_wt9[9]

static

Initial value:

= {
  8.127438836157463e-02, 1.806481606948576e-01, 2.606106964029355e-01,
  3.123470770400029e-01, 3.302393550012598e-01, 3.123470770400029e-01,
  2.606106964029355e-01, 1.806481606948576e-01, 8.127438836157463e-02}

Definition at line 84 of file GaussLegendre1D.h.

Referenced by gmshGaussLegendre1D().