Esempio n. 1
0
  public void setOrigin(final int win_x, final int win_y) {
    final float[] in = {
      win_x * m_delta.get(0) + m_constant.get(0), win_y * m_delta.get(1) + m_constant.get(1)
    };

    final float[] center = {
      m_inverse.get(0, 0) * in[0] + m_inverse.get(0, 1) * in[1] + m_inverse.get(0, 3),
      m_inverse.get(1, 0) * in[0] + m_inverse.get(1, 1) * in[1] + m_inverse.get(1, 3),
      m_inverse.get(2, 0) * in[0] + m_inverse.get(2, 1) * in[1] + m_inverse.get(2, 3),
      m_inverse.get(3, 0) * in[0] + m_inverse.get(3, 1) * in[1] + m_inverse.get(3, 3)
    };

    float[] front = {
      center[0] - m_inverse.get(0, 2),
      center[1] - m_inverse.get(1, 2),
      center[2] - m_inverse.get(2, 2),
      center[3] - m_inverse.get(3, 2)
    };

    final float front_inv = 1.0f / front[3];
    front[0] *= front_inv;
    front[1] *= front_inv;
    front[2] *= front_inv;

    float[] back = {
      center[0] + m_inverse.get(0, 2),
      center[1] + m_inverse.get(1, 2),
      center[2] + m_inverse.get(2, 2),
      center[3] + m_inverse.get(3, 2)
    };

    final float back_inv = 1.0f / back[3];
    back[0] *= back_inv;
    back[1] *= back_inv;
    back[2] *= back_inv;

    m_t = 0.0f;

    m_from = new Vector3f(front[0], front[1], front[2]);

    Vector3f direction = new Vector3f(back[0] - front[0], back[1] - front[1], back[2] - front[2]);
    m_direction = direction.normalize();
  }
Esempio n. 2
0
  public float depth() {
    Vector3f point = this.point();

    final float view2 =
        point.getX() * m_combined.get(2, 0)
            + point.getY() * m_combined.get(2, 1)
            + point.getZ() * m_combined.get(2, 2)
            + m_combined.get(2, 3);

    final float view3 =
        point.getX() * m_combined.get(3, 0)
            + point.getY() * m_combined.get(3, 1)
            + point.getZ() * m_combined.get(3, 2)
            + m_combined.get(3, 3);

    return ((1.0f + view2 / view3) * 0.5f);
  }
Esempio n. 3
0
  public final void combine_projection_and_modelview(double[] projection, double[] modelview) {
    /* Calculate a combined matrix PM in order to project the point in the
     * object coordinate system onto the image plane in the window coordinate
     * system. The matrix PM is composed of a modelview marix M and a projection
     * matrix P. It is possible to calculate the efficiently by taking advantage
     * of zero-elements in the M and P.
     *
     * Modelview matrix M:   [ m0, m4, m8,  m12 ]   [ m0, m4, m8,  m12 ]
     *                       [ m1, m5, m9,  m13 ] = [ m1, m5, m9,  m13 ]
     *                       [ m2, m6, m10, m14 ]   [ m2, m6, m10, m14 ]
     *                       [ m3, m7, m11, m15 ]   [  0,  0,   0,   1 ]
     *
     * Projection matrix P:  [ p0, p4, p8,  p12 ]   [ p0,  0, p8,    0 ] (Pers.)
     *                       [ p1, p5, p9,  p13 ] = [  0, p5, p9,    0 ]
     *                       [ p2, p6, p10, p14 ]   [  0,  0, p10, p14 ]
     *                       [ p3, p7, p11, p15 ]   [  0,  0,  -1,   0 ]
     *
     *                                              [ p0,  0,   0, p12 ] (Orth.)
     *                                            = [  0, p5,   0, p13 ]
     *                                              [  0,  0, p10, p14 ]
     *                                              [  0,  0,   0,   1 ]
     *
     * if 'r == -l' in the view volume, P is denoted as follows:
     *
     *       [ p0,  0,   0,   0 ] (Pers.)     [ p0,  0,   0,   0 ] (Orth.)
     *       [  0, p5,   0,   0 ]             [  0, p5,   0,   0 ]
     *       [  0,  0, p10, p14 ]             [  0,  0, p10, p14 ]
     *       [  0,  0,  -1,   0 ]             [  0,  0,   0,   1 ]
     *
     * Combined matrix PM:
     *
     *         [ p0  m0,   p0  m4,   p0  m8,    p0  m12       ] (Pers.)
     *         [ p5  m1,   p5  m5,   p5  m9,    p5  m13       ]
     *         [ p10 m2,   p10 m6,   p10 m10,   p10 m14 + p14 ]
     *         [    -m2,      -m6,      -m10,            -m14 ]
     *
     *         [ p0  m0,   p0  m4,   p0  m8,    p0  m12       ] (Orth.)
     *         [ p5  m1,   p5  m5,   p5  m9,    p5  m13       ]
     *         [ p10 m2,   p10 m6,   p10 m10,   p10 m14 + p14 ]
     *         [      0,        0,         0,               1 ]
     */

    // Row 1.
    Vector4f row1 =
        new Vector4f(
            (float) (projection[0] * modelview[0]),
            (float) (projection[0] * modelview[4]),
            (float) (projection[0] * modelview[8]),
            (float) (projection[0] * modelview[12]));

    // Row 2.
    Vector4f row2 =
        new Vector4f(
            (float) (projection[5] * modelview[1]),
            (float) (projection[5] * modelview[5]),
            (float) (projection[5] * modelview[9]),
            (float) (projection[5] * modelview[13]));

    // Row 3.
    Vector4f row3 =
        new Vector4f(
            (float) (projection[10] * modelview[2]),
            (float) (projection[10] * modelview[6]),
            (float) (projection[10] * modelview[10]),
            (float) (projection[10] * modelview[14] + projection[14]));

    // Row 4.
    Vector4f row4;
    // Perspective.
    if (kvs.core.util.Math.isZero(projection[15])) {
      row4 =
          new Vector4f(
              (float) (-modelview[2]),
              (float) (-modelview[6]),
              (float) (-modelview[10]),
              (float) (-modelview[14]));
    }
    // Orthogonal.
    else {
      row4 = new Vector4f(0.0f, 0.0f, 0.0f, 1.0f);
    }

    m_combined = new Matrix44f(row1, row2, row3, row4);

    // Calculate the inverse of the PM matrix.
    m_inverse = m_combined.inverse();
  }