linmath: Fix degenerate case in decompose_matrix
Regression in 583f7366db
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@ -323,79 +323,82 @@ unwind_yup_rotation(FLOATNAME(LMatrix3) &mat, FLOATNAME(LVecBase3) &hpr) {
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mat.get_row(z,2);
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// Project Z into the XZ plane.
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FLOATTYPE heading = 0;
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FLOATNAME(LVector2) xz(z[0], z[2]);
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xz = normalize(xz);
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if (xz.normalize()) {
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// Compute the rotation about the +Y (up) axis. This is yaw, or "heading".
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heading = catan2(xz[0], xz[1]);
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// Compute the rotation about the +Y (up) axis. This is yaw, or "heading".
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FLOATTYPE heading = catan2(xz[0], xz[1]);
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// Unwind the heading, and continue.
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FLOATNAME(LMatrix3) rot_y;
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rot_y._m(0, 0) = xz[1];
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rot_y._m(0, 1) = 0;
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rot_y._m(0, 2) = xz[0];
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// Unwind the heading, and continue.
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FLOATNAME(LMatrix3) rot_y;
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rot_y._m(0, 0) = xz[1];
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rot_y._m(0, 1) = 0;
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rot_y._m(0, 2) = xz[0];
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rot_y._m(1, 0) = 0;
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rot_y._m(1, 1) = 1;
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rot_y._m(1, 2) = 0;
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rot_y._m(1, 0) = 0;
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rot_y._m(1, 1) = 1;
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rot_y._m(1, 2) = 0;
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rot_y._m(2, 0) = -xz[0];
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rot_y._m(2, 1) = 0;
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rot_y._m(2, 2) = xz[1];
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rot_y._m(2, 0) = -xz[0];
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rot_y._m(2, 1) = 0;
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rot_y._m(2, 2) = xz[1];
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x = x * rot_y;
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y = y * rot_y;
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z = z * rot_y;
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x = x * rot_y;
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y = y * rot_y;
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z = z * rot_y;
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}
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// Project the rotated Z into the YZ plane.
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FLOATTYPE pitch = 0;
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FLOATNAME(LVector2) yz(z[1], z[2]);
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yz = normalize(yz);
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if (yz.normalize()) {
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// Compute the rotation about the +X (right) axis. This is pitch.
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pitch = -catan2(yz[0], yz[1]);
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// Compute the rotation about the +X (right) axis. This is pitch.
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FLOATTYPE pitch = -catan2(yz[0], yz[1]);
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// Unwind the pitch.
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FLOATNAME(LMatrix3) rot_x;
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rot_x._m(0, 0) = 1;
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rot_x._m(0, 1) = 0;
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rot_x._m(0, 2) = 0;
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// Unwind the pitch.
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FLOATNAME(LMatrix3) rot_x;
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rot_x._m(0, 0) = 1;
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rot_x._m(0, 1) = 0;
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rot_x._m(0, 2) = 0;
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rot_x._m(1, 0) = 0;
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rot_x._m(1, 1) = yz[1];
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rot_x._m(1, 2) = yz[0];
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rot_x._m(1, 0) = 0;
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rot_x._m(1, 1) = yz[1];
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rot_x._m(1, 2) = yz[0];
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rot_x._m(2, 0) = 0;
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rot_x._m(2, 1) = -yz[0];
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rot_x._m(2, 2) = yz[1];
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rot_x._m(2, 0) = 0;
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rot_x._m(2, 1) = -yz[0];
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rot_x._m(2, 2) = yz[1];
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x = x * rot_x;
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y = y * rot_x;
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z = z * rot_x;
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x = x * rot_x;
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y = y * rot_x;
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z = z * rot_x;
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}
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// Project the rotated X onto the XY plane.
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FLOATTYPE roll = 0;
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FLOATNAME(LVector2) xy(x[0], x[1]);
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xy = normalize(xy);
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if (xy.normalize()) {
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// Compute the rotation about the +Z (back) axis. This is roll.
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roll = -catan2(xy[1], xy[0]);
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// Compute the rotation about the +Z (back) axis. This is roll.
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FLOATTYPE roll = -catan2(xy[1], xy[0]);
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// Unwind the roll from the axes, and continue.
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FLOATNAME(LMatrix3) rot_z;
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rot_z._m(0, 0) = xy[0];
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rot_z._m(0, 1) = -xy[1];
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rot_z._m(0, 2) = 0;
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// Unwind the roll from the axes, and continue.
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FLOATNAME(LMatrix3) rot_z;
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rot_z._m(0, 0) = xy[0];
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rot_z._m(0, 1) = -xy[1];
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rot_z._m(0, 2) = 0;
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rot_z._m(1, 0) = xy[1];
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rot_z._m(1, 1) = xy[0];
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rot_z._m(1, 2) = 0;
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rot_z._m(1, 0) = xy[1];
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rot_z._m(1, 1) = xy[0];
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rot_z._m(1, 2) = 0;
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rot_z._m(2, 0) = 0;
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rot_z._m(2, 1) = 0;
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rot_z._m(2, 2) = 1;
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rot_z._m(2, 0) = 0;
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rot_z._m(2, 1) = 0;
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rot_z._m(2, 2) = 1;
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x = x * rot_z;
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y = y * rot_z;
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z = z * rot_z;
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x = x * rot_z;
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y = y * rot_z;
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z = z * rot_z;
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}
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// Reset the matrix to reflect the unwinding.
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mat.set_row(0, x);
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@ -425,79 +428,82 @@ unwind_zup_rotation(FLOATNAME(LMatrix3) &mat, FLOATNAME(LVecBase3) &hpr) {
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mat.get_row(z,2);
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// Project Y into the XY plane.
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FLOATTYPE heading = 0;
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FLOATNAME(LVector2) xy(y[0], y[1]);
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xy = normalize(xy);
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if (xy.normalize()) {
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// Compute the rotation about the +Z (up) axis. This is yaw, or "heading".
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heading = -catan2(xy[0], xy[1]);
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// Compute the rotation about the +Z (up) axis. This is yaw, or "heading".
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FLOATTYPE heading = -catan2(xy[0], xy[1]);
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// Unwind the heading, and continue.
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FLOATNAME(LMatrix3) rot_z;
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rot_z._m(0, 0) = xy[1];
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rot_z._m(0, 1) = xy[0];
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rot_z._m(0, 2) = 0;
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// Unwind the heading, and continue.
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FLOATNAME(LMatrix3) rot_z;
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rot_z._m(0, 0) = xy[1];
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rot_z._m(0, 1) = xy[0];
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rot_z._m(0, 2) = 0;
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rot_z._m(1, 0) = -xy[0];
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rot_z._m(1, 1) = xy[1];
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rot_z._m(1, 2) = 0;
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rot_z._m(1, 0) = -xy[0];
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rot_z._m(1, 1) = xy[1];
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rot_z._m(1, 2) = 0;
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rot_z._m(2, 0) = 0;
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rot_z._m(2, 1) = 0;
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rot_z._m(2, 2) = 1;
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rot_z._m(2, 0) = 0;
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rot_z._m(2, 1) = 0;
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rot_z._m(2, 2) = 1;
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x = x * rot_z;
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y = y * rot_z;
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z = z * rot_z;
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x = x * rot_z;
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y = y * rot_z;
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z = z * rot_z;
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}
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// Project the rotated Y into the YZ plane.
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FLOATTYPE pitch = 0;
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FLOATNAME(LVector2) yz(y[1], y[2]);
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yz = normalize(yz);
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if (yz.normalize()) {
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// Compute the rotation about the +X (right) axis. This is pitch.
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pitch = catan2(yz[1], yz[0]);
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// Compute the rotation about the +X (right) axis. This is pitch.
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FLOATTYPE pitch = catan2(yz[1], yz[0]);
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// Unwind the pitch.
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FLOATNAME(LMatrix3) rot_x;
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rot_x._m(0, 0) = 1;
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rot_x._m(0, 1) = 0;
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rot_x._m(0, 2) = 0;
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// Unwind the pitch.
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FLOATNAME(LMatrix3) rot_x;
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rot_x._m(0, 0) = 1;
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rot_x._m(0, 1) = 0;
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rot_x._m(0, 2) = 0;
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rot_x._m(1, 0) = 0;
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rot_x._m(1, 1) = yz[0];
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rot_x._m(1, 2) = -yz[1];
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rot_x._m(1, 0) = 0;
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rot_x._m(1, 1) = yz[0];
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rot_x._m(1, 2) = -yz[1];
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rot_x._m(2, 0) = 0;
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rot_x._m(2, 1) = yz[1];
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rot_x._m(2, 2) = yz[0];
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rot_x._m(2, 0) = 0;
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rot_x._m(2, 1) = yz[1];
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rot_x._m(2, 2) = yz[0];
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x = x * rot_x;
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y = y * rot_x;
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z = z * rot_x;
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x = x * rot_x;
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y = y * rot_x;
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z = z * rot_x;
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}
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// Project X into the XZ plane.
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FLOATTYPE roll = 0;
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FLOATNAME(LVector2) xz(x[0], x[2]);
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xz = normalize(xz);
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if (xz.normalize()) {
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// Compute the rotation about the -Y (back) axis. This is roll.
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FLOATTYPE roll = -catan2(xz[1], xz[0]);
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roll = -catan2(xz[1], xz[0]);
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// Unwind the roll from the axes, and continue.
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FLOATNAME(LMatrix3) rot_y;
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rot_y._m(0, 0) = xz[0];
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rot_y._m(0, 1) = 0;
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rot_y._m(0, 2) = -xz[1];
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// Unwind the roll from the axes, and continue.
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FLOATNAME(LMatrix3) rot_y;
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rot_y._m(0, 0) = xz[0];
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rot_y._m(0, 1) = 0;
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rot_y._m(0, 2) = -xz[1];
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rot_y._m(1, 0) = 0;
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rot_y._m(1, 1) = 1;
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rot_y._m(1, 2) = 0;
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rot_y._m(1, 0) = 0;
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rot_y._m(1, 1) = 1;
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rot_y._m(1, 2) = 0;
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rot_y._m(2, 0) = xz[1];
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rot_y._m(2, 1) = 0;
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rot_y._m(2, 2) = xz[0];
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rot_y._m(2, 0) = xz[1];
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rot_y._m(2, 1) = 0;
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rot_y._m(2, 2) = xz[0];
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x = x * rot_y;
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y = y * rot_y;
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z = z * rot_y;
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x = x * rot_y;
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y = y * rot_y;
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z = z * rot_y;
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}
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// Reset the matrix to reflect the unwinding.
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mat.set_row(0, x);
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@ -24,3 +24,20 @@ def test_compose_matrix(coordsys):
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new_quat = core.LQuaternion()
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new_quat.set_hpr(new_hpr, coordsys)
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assert quat.is_same_direction(new_quat)
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@pytest.mark.parametrize("coordsys", (core.CS_zup_right, core.CS_yup_right, core.CS_zup_left, core.CS_yup_left))
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def test_compose_matrix2(coordsys):
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mat = core.LMatrix3(1, 0, 0, 0, 0, -1, 0, 1, 0)
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new_scale = core.LVecBase3()
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new_hpr = core.LVecBase3()
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new_shear = core.LVecBase3()
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core.decompose_matrix(mat, new_scale, new_shear, new_hpr, coordsys)
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assert new_scale.almost_equal(core.LVecBase3(1, 1, 1))
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if coordsys in (core.CS_zup_left, core.CS_yup_left):
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assert new_hpr.almost_equal(core.LVecBase3(0, 90, 0))
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else:
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assert new_hpr.almost_equal(core.LVecBase3(0, -90, 0))
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assert new_shear.almost_equal(core.LVecBase3(0, 0, 0))
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