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subroutine | pmat5::dctoc (s, xc1, xc2) |
| Evaluate Schmidt transformation, xc1 –> xc2, with scaling parameter s. More...
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subroutine | pmat5::dctocd (s, xc1, xc2, dxc2) |
| Evaluate Schmidt transformation, xc1 –> xc2, with scaling parameter s, and its jacobian, dxc2. More...
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subroutine | pmat5::dctocdd (s, xc1, xc2, dxc2, ddxc2) |
| Evaluate Schmidt transformation, xc1 –> xc2, with scaling parameter s, its jacobian, dxc2, and its 2nd derivative, ddxc2. More...
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subroutine | pmat5::dctog (xe, dlat, dlon) |
| Transform "Cartesian" to "Geographical" coordinates, where the geographical coordinates refer to latitude and longitude (degrees) and cartesian coordinates are standard earth-centered cartesian coordinates: xe(3) pointing north, xe(1) pointing to the 0-meridian. More...
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subroutine | pmat5::dctogr (xe, rlat, rlon) |
| Transform "Cartesian" to "Geographical" coordinates, where the geographical coordinates refer to latitude and longitude (radians) and cartesian coordinates are standard earth-centered cartesian coordinates: xe(3) pointing north, xe(1) pointing to the 0-meridian. More...
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subroutine | pmat5::dgrtoc (rlat, rlon, xe) |
| Transform "Geographical" to "Cartesian" coordinates. More...
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subroutine | pmat5::dgrtocd (rlat, rlon, xe, dxedlat, dxedlon) |
| Transform "Geographical" to "Cartesian" coordinates, together with the partial derivatives of cartesians wrt latitude and longitude. More...
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subroutine | pmat5::dgrtocdd (rlat, rlon, xe, dxedlat, dxedlon, ddxedlatdlat, ddxedlatdlon, ddxedlondlon) |
| Transform "Geographical" to "Cartesian" coordinates, together with the 1st and 2nd partial derivatives of cartesians wrt latitude and longitude. More...
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subroutine | pmat5::dgtoc (dlat, dlon, xe) |
| Transform "Geographical" to "Cartesian" coordinates, where the geographical coordinates refer to latitude and longitude (degrees) and cartesian coordinates are standard earth-centered cartesian coordinates: xe(3) pointing north, xe(1) pointing to the 0-meridian. More...
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subroutine | pmat5::dgtocd (dlat, dlon, xe, dxedlat, dxedlon) |
| Transform "Geographical" to "Cartesian" coordinates, where the geographical coordinates refer to latitude and longitude (degrees) and cartesian coordinates are standard earth-centered cartesian coordinates: xe(3) pointing north, xe(1) pointing to the 0-meridian. More...
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subroutine | pmat5::dgtocdd (dlat, dlon, xe, dxedlat, dxedlon, ddxedlatdlat, ddxedlatdlon, ddxedlondlon) |
| Transform "Geographical" to "Cartesian" coordinates, where the geographical coordinates refer to latitude and longitude (degrees) and cartesian coordinates are standard earth-centered cartesian coordinates: xe(3) pointing north, xe(1) pointing to the 0-meridian. More...
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subroutine | pmat5::dininmap (alon0, alat0, rot3) |
| Initialize the rotation matrix ROT3 needed to transform standard earth-centered cartesian components to the alternative cartesian frame oriented so as to put geographical point (ALAT0,ALON0) on the projection axis. More...
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subroutine | pmat5::dinivmap (alon0, alat0, rot3) |
| Initialize the rotation matrix ROT3 needed to transform standard earth-centered cartesian components to the alternative cartesian frame oriented so as to put geographical point (ALAT0,ALON0) at the viewing nadir. More...
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subroutine | pmat5::dplrot (rot3, n, x, y, z) |
| Apply a constant rotation to a three dimensional polyline. More...
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subroutine | pmat5::dplroti (rot3, n, x, y, z) |
| Invert the rotation of a three-dimensional polyline. More...
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subroutine, public | pmat5::frametwist (xp, yp, zp, xv, yv, zv, twist) |
| Given a principal cartesian orthonormal frame, {xp,yp,zp} (i.e., at P with Earth-centered cartesians, zp), and another similar frame {xv,yv,zv} at V with Earth-centered cartesians zv, find the relative rotation angle, "twist" by which the frame at V is rotated in the counterclockwise sense relative to the parallel-transportation of P's frame to V. More...
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subroutine | pmat5::gtoframem (plat, plon, orth) |
| From the degree lat and lon (plat and plon) return the standard orthogonal 3D frame at this location as an orthonormal matrix, orth. More...
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subroutine | pmat5::gtoframev (plat, plon, xp, yp, zp) |
| Given a geographical point by its degrees lat and lon, plat and plon, return its standard orthogonal cartesian frame, {xp,yp,zp} in earth-centered coordinates. More...
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subroutine, public | pmat5::paraframe (xp, yp, zp, xv, yv, zv) |
| Take a principal reference orthonormal frame, {xp,yp,zp} and a dependent point defined by unit vector, zv, and complete the V-frame cartesian components, {xv,yv}, that are the result of parallel-transport of {xp,yp} along the geodesic between P and V. More...
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subroutine, public | pmat5::plctoc (s, n, x, y, z) |
| Perform Schmidt transformation with scaling parameter s to a polyline. More...
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subroutine, public | pmat5::plrot (rot3, n, x, y, z) |
| Apply a constant rotation to a three dimensional polyline. More...
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subroutine, public | pmat5::plroti (rot3, n, x, y, z) |
| Invert the rotation of a three-dimensional polyline. More...
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subroutine | pmat5::sctoc (s, xc1, xc2) |
| Evaluate Schmidt transformation, xc1 –> xc2, with scaling parameter s. More...
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subroutine | pmat5::sctocd (s, xc1, xc2, dxc2) |
| Evaluate Schmidt transformation, xc1 –> xc2, with scaling parameter s, and its jacobian, dxc2. More...
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subroutine | pmat5::sctocdd (s, xc1, xc2, dxc2, ddxc2) |
| Evaluate Schmidt transformation, xc1 –> xc2, with scaling parameter s, its jacobian, dxc2, and its 2nd derivative, ddxc2. More...
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subroutine | pmat5::sctog (xe, dlat, dlon) |
| Transform "Cartesian" to "Geographical" coordinates, where the geographical coordinates refer to latitude and longitude (degrees) and cartesian coordinates are standard earth-centered cartesian coordinates: xe(3) pointing north, xe(1) pointing to the 0-meridian. More...
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subroutine | pmat5::sctogr (xe, rlat, rlon) |
| Transform "Cartesian" to "Geographical" coordinates, where the geographical coordinates refer to latitude and longitude (radians) and cartesian coordinates are standard earth-centered cartesian coordinates: xe(3) pointing north, xe(1) pointing to the 0-meridian. More...
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subroutine | pmat5::sframetwist (sxp, syp, szp, sxv, syv, szv, stwist) |
| Given a principal cartesian orthonormal frame, {xp,yp,zp} (i.e., at P with Earth-centered cartesians, zp), and another similar frame {xv,yv,zv} at V with Earth-centered cartesians zv, find the relative rotation angle, "twist" by which the frame at V is rotated in the counterclockwise sense relative to the parallel-transportation of P's frame to V. More...
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subroutine | pmat5::sgrtoc (rlat, rlon, xe) |
| Transform "Geographical" to "Cartesian" coordinates. More...
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subroutine | pmat5::sgrtocd (rlat, rlon, xe, dxedlat, dxedlon) |
| Transform "Geographical" to "Cartesian" coordinates, together with the partial derivatives of cartesians wrt latitude and longitude. More...
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subroutine | pmat5::sgrtocdd (rlat, rlon, xe, dxedlat, dxedlon, ddxedlatdlat, ddxedlatdlon, ddxedlondlon) |
| Transform "Geographical" to "Cartesian" coordinates, together with the 1st and 2nd partial derivatives of cartesians wrt latitude and longitude. More...
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subroutine | pmat5::sgtoc (dlat, dlon, xe) |
| Transform "Geographical" to "Cartesian" coordinates, where the geographical coordinates refer to latitude and longitude (degrees) and cartesian coordinates are standard earth-centered cartesian coordinates: xe(3) pointing north, xe(1) pointing to the 0-meridian. More...
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subroutine | pmat5::sgtocd (dlat, dlon, xe, dxedlat, dxedlon) |
| Transform "Geographical" to "Cartesian" coordinates, where the geographical coordinates refer to latitude and longitude (degrees) and cartesian coordinates are standard earth-centered cartesian coordinates: xe(3) pointing north, xe(1) pointing to the 0-meridian. More...
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subroutine | pmat5::sgtocdd (dlat, dlon, xe, dxedlat, dxedlon, ddxedlatdlat, ddxedlatdlon, ddxedlondlon) |
| Transform "Geographical" to "Cartesian" coordinates, where the geographical coordinates refer to latitude and longitude (degrees) and cartesian coordinates are standard earth-centered cartesian coordinates: xe(3) pointing north, xe(1) pointing to the 0-meridian. More...
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subroutine | pmat5::sgtoframem (splat, splon, sorth) |
| From the degree lat and lon (plat and plon) return the standard orthogonal 3D frame at this location as an orthonormal matrix, orth. More...
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subroutine | pmat5::sgtoframev (splat, splon, sxp, syp, szp) |
| Given a geographical point by its degrees lat and lon, plat and plon, return its standard orthogonal cartesian frame, {xp,yp,zp} in earth-centered coordinates. More...
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subroutine | pmat5::sininmap (alon0, alat0, rot3) |
| Initialize the rotation matrix ROT3 needed to transform standard earth-centered cartesian components to the alternative cartesian frame oriented so as to put geographical point (ALAT0,ALON0) on the projection axis. More...
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subroutine | pmat5::sinivmap (alon0, alat0, rot3) |
| Initialize the rotation matrix ROT3 needed to transform standard earth-centered cartesian components to the alternative cartesian frame oriented so as to put geographical point (ALAT0,ALON0) at the viewing nadir. More...
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subroutine | pmat5::sparaframe (sxp, syp, szp, sxv, syv, szv) |
| Take a principal reference orthonormal frame, {xp,yp,zp} and a dependent point defined by unit vector, zv, and complete the V-frame cartesian components, {xv,yv}, that are the result of parallel-transport of {xp,yp} along the geodesic between P and V. More...
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