Patch G29 for linear leveling, reachable with probe
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@ -3546,16 +3546,16 @@ inline void gcode_G28() {
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* so Vx = -a Vy = -b Vz = 1 (we want the vector facing towards positive Z
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*/
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int abl2 = abl_grid_points_x * abl_grid_points_y;
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int abl2 = abl_grid_points_x * abl_grid_points_y,
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indexIntoAB[abl_grid_points_x][abl_grid_points_y],
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probePointCounter = -1;
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double eqnAMatrix[abl2 * 3], // "A" matrix of the linear system of equations
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eqnBVector[abl2], // "B" vector of Z points
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mean = 0.0;
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int indexIntoAB[abl_grid_points_x][abl_grid_points_y];
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float eqnAMatrix[abl2 * 3], // "A" matrix of the linear system of equations
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eqnBVector[abl2], // "B" vector of Z points
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mean = 0.0;
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#endif // AUTO_BED_LEVELING_LINEAR_GRID
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int probePointCounter = 0;
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bool zig = abl_grid_points_y & 1; //always end at [RIGHT_PROBE_BED_POSITION, BACK_PROBE_BED_POSITION]
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for (uint8_t yCount = 0; yCount < abl_grid_points_y; yCount++) {
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@ -3581,10 +3581,14 @@ inline void gcode_G28() {
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float xBase = left_probe_bed_position + xGridSpacing * xCount;
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xProbe = floor(xBase + (xBase < 0 ? 0 : 0.5));
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#if ENABLED(DELTA)
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// Avoid probing outside the round or hexagonal area of a delta printer
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float pos[XYZ] = { xProbe + X_PROBE_OFFSET_FROM_EXTRUDER, yProbe + Y_PROBE_OFFSET_FROM_EXTRUDER, 0 };
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if (!position_is_reachable(pos)) continue;
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#if ENABLED(AUTO_BED_LEVELING_LINEAR_GRID)
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indexIntoAB[xCount][yCount] = ++probePointCounter;
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#endif
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#if IS_KINEMATIC
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// Avoid probing outside the round or hexagonal area
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float pos[XYZ] = { xProbe, yProbe, 0 };
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if (!position_is_reachable(pos, true)) continue;
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#endif
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measured_z = probe_pt(xProbe, yProbe, stow_probe_after_each, verbose_level);
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@ -3596,7 +3600,6 @@ inline void gcode_G28() {
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eqnAMatrix[probePointCounter + 0 * abl2] = xProbe;
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eqnAMatrix[probePointCounter + 1 * abl2] = yProbe;
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eqnAMatrix[probePointCounter + 2 * abl2] = 1;
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indexIntoAB[xCount][yCount] = probePointCounter;
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#elif ENABLED(AUTO_BED_LEVELING_NONLINEAR)
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@ -3604,8 +3607,6 @@ inline void gcode_G28() {
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#endif
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probePointCounter++;
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idle();
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} //xProbe
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@ -3664,7 +3665,7 @@ inline void gcode_G28() {
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// For LINEAR leveling calculate matrix, print reports, correct the position
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// solve lsq problem
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double plane_equation_coefficients[3];
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float plane_equation_coefficients[3];
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qr_solve(plane_equation_coefficients, abl2, 3, eqnAMatrix, eqnBVector);
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mean /= abl2;
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@ -59,7 +59,7 @@ int i4_min(int i1, int i2)
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return (i1 < i2) ? i1 : i2;
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}
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double r8_epsilon(void)
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float r8_epsilon(void)
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/******************************************************************************/
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/**
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@ -89,14 +89,14 @@ double r8_epsilon(void)
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Parameters:
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Output, double R8_EPSILON, the R8 round-off unit.
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Output, float R8_EPSILON, the R8 round-off unit.
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*/
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{
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const double value = 2.220446049250313E-016;
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const float value = 2.220446049250313E-016;
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return value;
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}
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double r8_max(double x, double y)
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float r8_max(float x, float y)
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/******************************************************************************/
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/**
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@ -118,15 +118,15 @@ double r8_max(double x, double y)
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Parameters:
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Input, double X, Y, the quantities to compare.
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Input, float X, Y, the quantities to compare.
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Output, double R8_MAX, the maximum of X and Y.
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Output, float R8_MAX, the maximum of X and Y.
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*/
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{
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return (y < x) ? x : y;
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}
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double r8_abs(double x)
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float r8_abs(float x)
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/******************************************************************************/
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/**
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@ -148,15 +148,15 @@ double r8_abs(double x)
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Parameters:
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Input, double X, the quantity whose absolute value is desired.
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Input, float X, the quantity whose absolute value is desired.
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Output, double R8_ABS, the absolute value of X.
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Output, float R8_ABS, the absolute value of X.
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*/
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{
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return (x < 0.0) ? -x : x;
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}
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double r8_sign(double x)
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float r8_sign(float x)
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/******************************************************************************/
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/**
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@ -178,15 +178,15 @@ double r8_sign(double x)
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Parameters:
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Input, double X, the number whose sign is desired.
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Input, float X, the number whose sign is desired.
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Output, double R8_SIGN, the sign of X.
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Output, float R8_SIGN, the sign of X.
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*/
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{
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return (x < 0.0) ? -1.0 : 1.0;
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}
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double r8mat_amax(int m, int n, double a[])
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float r8mat_amax(int m, int n, float a[])
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/******************************************************************************/
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/**
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@ -217,12 +217,12 @@ double r8mat_amax(int m, int n, double a[])
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Input, int N, the number of columns in A.
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Input, double A[M*N], the M by N matrix.
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Input, float A[M*N], the M by N matrix.
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Output, double R8MAT_AMAX, the maximum absolute value entry of A.
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Output, float R8MAT_AMAX, the maximum absolute value entry of A.
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*/
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{
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double value = r8_abs(a[0 + 0 * m]);
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float value = r8_abs(a[0 + 0 * m]);
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for (int j = 0; j < n; j++) {
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for (int i = 0; i < m; i++) {
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NOLESS(value, r8_abs(a[i + j * m]));
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@ -231,7 +231,7 @@ double r8mat_amax(int m, int n, double a[])
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return value;
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}
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void r8mat_copy(double a2[], int m, int n, double a1[])
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void r8mat_copy(float a2[], int m, int n, float a1[])
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/******************************************************************************/
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/**
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@ -260,9 +260,9 @@ void r8mat_copy(double a2[], int m, int n, double a1[])
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Input, int M, N, the number of rows and columns.
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Input, double A1[M*N], the matrix to be copied.
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Input, float A1[M*N], the matrix to be copied.
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Output, double R8MAT_COPY_NEW[M*N], the copy of A1.
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Output, float R8MAT_COPY_NEW[M*N], the copy of A1.
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*/
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{
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for (int j = 0; j < n; j++) {
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@ -273,7 +273,7 @@ void r8mat_copy(double a2[], int m, int n, double a1[])
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/******************************************************************************/
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void daxpy(int n, double da, double dx[], int incx, double dy[], int incy)
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void daxpy(int n, float da, float dx[], int incx, float dy[], int incy)
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/******************************************************************************/
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/**
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@ -313,13 +313,13 @@ void daxpy(int n, double da, double dx[], int incx, double dy[], int incy)
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Input, int N, the number of elements in DX and DY.
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Input, double DA, the multiplier of DX.
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Input, float DA, the multiplier of DX.
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Input, double DX[*], the first vector.
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Input, float DX[*], the first vector.
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Input, int INCX, the increment between successive entries of DX.
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Input/output, double DY[*], the second vector.
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Input/output, float DY[*], the second vector.
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On output, DY[*] has been replaced by DY[*] + DA * DX[*].
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Input, int INCY, the increment between successive entries of DY.
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@ -364,7 +364,7 @@ void daxpy(int n, double da, double dx[], int incx, double dy[], int incy)
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}
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/******************************************************************************/
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double ddot(int n, double dx[], int incx, double dy[], int incy)
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float ddot(int n, float dx[], int incx, float dy[], int incy)
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/******************************************************************************/
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/**
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@ -404,15 +404,15 @@ double ddot(int n, double dx[], int incx, double dy[], int incy)
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Input, int N, the number of entries in the vectors.
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Input, double DX[*], the first vector.
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Input, float DX[*], the first vector.
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Input, int INCX, the increment between successive entries in DX.
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Input, double DY[*], the second vector.
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Input, float DY[*], the second vector.
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Input, int INCY, the increment between successive entries in DY.
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Output, double DDOT, the sum of the product of the corresponding
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Output, float DDOT, the sum of the product of the corresponding
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entries of DX and DY.
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*/
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{
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@ -420,7 +420,7 @@ double ddot(int n, double dx[], int incx, double dy[], int incy)
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if (n <= 0) return 0.0;
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int i, m;
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double dtemp = 0.0;
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float dtemp = 0.0;
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/**
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Code for unequal increments or equal increments
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@ -454,7 +454,7 @@ double ddot(int n, double dx[], int incx, double dy[], int incy)
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}
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/******************************************************************************/
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double dnrm2(int n, double x[], int incx)
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float dnrm2(int n, float x[], int incx)
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/******************************************************************************/
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/**
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@ -494,24 +494,24 @@ double dnrm2(int n, double x[], int incx)
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Input, int N, the number of entries in the vector.
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Input, double X[*], the vector whose norm is to be computed.
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Input, float X[*], the vector whose norm is to be computed.
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Input, int INCX, the increment between successive entries of X.
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Output, double DNRM2, the Euclidean norm of X.
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Output, float DNRM2, the Euclidean norm of X.
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*/
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{
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double norm;
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float norm;
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if (n < 1 || incx < 1)
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norm = 0.0;
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else if (n == 1)
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norm = r8_abs(x[0]);
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else {
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double scale = 0.0, ssq = 1.0;
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float scale = 0.0, ssq = 1.0;
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int ix = 0;
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for (int i = 0; i < n; i++) {
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if (x[ix] != 0.0) {
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double absxi = r8_abs(x[ix]);
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float absxi = r8_abs(x[ix]);
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if (scale < absxi) {
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ssq = 1.0 + ssq * (scale / absxi) * (scale / absxi);
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scale = absxi;
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@ -527,8 +527,8 @@ double dnrm2(int n, double x[], int incx)
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}
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/******************************************************************************/
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void dqrank(double a[], int lda, int m, int n, double tol, int* kr,
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int jpvt[], double qraux[])
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void dqrank(float a[], int lda, int m, int n, float tol, int* kr,
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int jpvt[], float qraux[])
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/******************************************************************************/
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/**
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@ -572,7 +572,7 @@ void dqrank(double a[], int lda, int m, int n, double tol, int* kr,
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Parameters:
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Input/output, double A[LDA*N]. On input, the matrix whose
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Input/output, float A[LDA*N]. On input, the matrix whose
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decomposition is to be computed. On output, the information from DQRDC.
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The triangular matrix R of the QR factorization is contained in the
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upper triangle and information needed to recover the orthogonal
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@ -585,7 +585,7 @@ void dqrank(double a[], int lda, int m, int n, double tol, int* kr,
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Input, int N, the number of columns of A.
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Input, double TOL, a relative tolerance used to determine the
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Input, float TOL, a relative tolerance used to determine the
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numerical rank. The problem should be scaled so that all the elements
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of A have roughly the same absolute accuracy, EPS. Then a reasonable
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value for TOL is roughly EPS divided by the magnitude of the largest
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@ -598,11 +598,11 @@ void dqrank(double a[], int lda, int m, int n, double tol, int* kr,
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independent to within the tolerance TOL and the remaining columns
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are linearly dependent.
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Output, double QRAUX[N], will contain extra information defining
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Output, float QRAUX[N], will contain extra information defining
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the QR factorization.
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*/
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{
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double work[n];
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float work[n];
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for (int i = 0; i < n; i++)
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jpvt[i] = 0;
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}
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/******************************************************************************/
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void dqrdc(double a[], int lda, int n, int p, double qraux[], int jpvt[],
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double work[], int job)
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void dqrdc(float a[], int lda, int n, int p, float qraux[], int jpvt[],
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float work[], int job)
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/******************************************************************************/
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/**
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Parameters:
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Input/output, double A(LDA,P). On input, the N by P matrix
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Input/output, float A(LDA,P). On input, the N by P matrix
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whose decomposition is to be computed. On output, A contains in
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its upper triangle the upper triangular matrix R of the QR
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factorization. Below its diagonal A contains information from
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Input, int P, the number of columns of the matrix A.
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Output, double QRAUX[P], contains further information required
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Output, float QRAUX[P], contains further information required
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to recover the orthogonal part of the decomposition.
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Input/output, integer JPVT[P]. On input, JPVT contains integers that
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original matrix that has been interchanged into the K-th column, if
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pivoting was requested.
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Workspace, double WORK[P]. WORK is not referenced if JOB == 0.
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Workspace, float WORK[P]. WORK is not referenced if JOB == 0.
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Input, int JOB, initiates column pivoting.
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0, no pivoting is done.
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int j;
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int lup;
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int maxj;
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double maxnrm, nrmxl, t, tt;
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float maxnrm, nrmxl, t, tt;
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int pl = 1, pu = 0;
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/**
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}
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/******************************************************************************/
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int dqrls(double a[], int lda, int m, int n, double tol, int* kr, double b[],
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double x[], double rsd[], int jpvt[], double qraux[], int itask)
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int dqrls(float a[], int lda, int m, int n, float tol, int* kr, float b[],
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float x[], float rsd[], int jpvt[], float qraux[], int itask)
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/******************************************************************************/
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/**
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@ -871,7 +871,7 @@ int dqrls(double a[], int lda, int m, int n, double tol, int* kr, double b[],
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Parameters:
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Input/output, double A[LDA*N], an M by N matrix.
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Input/output, float A[LDA*N], an M by N matrix.
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On input, the matrix whose decomposition is to be computed.
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In a least squares data fitting problem, A(I,J) is the
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value of the J-th basis (model) function at the I-th data point.
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@ -886,7 +886,7 @@ int dqrls(double a[], int lda, int m, int n, double tol, int* kr, double b[],
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Input, int N, the number of columns of A.
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Input, double TOL, a relative tolerance used to determine the
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Input, float TOL, a relative tolerance used to determine the
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numerical rank. The problem should be scaled so that all the elements
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of A have roughly the same absolute accuracy EPS. Then a reasonable
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value for TOL is roughly EPS divided by the magnitude of the largest
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@ -894,12 +894,12 @@ int dqrls(double a[], int lda, int m, int n, double tol, int* kr, double b[],
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Output, int *KR, the numerical rank.
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Input, double B[M], the right hand side of the linear system.
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Input, float B[M], the right hand side of the linear system.
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Output, double X[N], a least squares solution to the linear
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Output, float X[N], a least squares solution to the linear
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system.
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Output, double RSD[M], the residual, B - A*X. RSD may
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Output, float RSD[M], the residual, B - A*X. RSD may
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overwrite B.
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Workspace, int JPVT[N], required if ITASK = 1.
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@ -909,7 +909,7 @@ int dqrls(double a[], int lda, int m, int n, double tol, int* kr, double b[],
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of the condition number of the matrix of independent columns,
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and of R. This estimate will be <= 1/TOL.
|
||||
|
||||
Workspace, double QRAUX[N], required if ITASK = 1.
|
||||
Workspace, float QRAUX[N], required if ITASK = 1.
|
||||
|
||||
Input, int ITASK.
|
||||
1, DQRLS factors the matrix A and solves the least squares problem.
|
||||
|
@ -962,8 +962,8 @@ int dqrls(double a[], int lda, int m, int n, double tol, int* kr, double b[],
|
|||
}
|
||||
/******************************************************************************/
|
||||
|
||||
void dqrlss(double a[], int lda, int m, int n, int kr, double b[], double x[],
|
||||
double rsd[], int jpvt[], double qraux[])
|
||||
void dqrlss(float a[], int lda, int m, int n, int kr, float b[], float x[],
|
||||
float rsd[], int jpvt[], float qraux[])
|
||||
|
||||
/******************************************************************************/
|
||||
/**
|
||||
|
@ -1004,7 +1004,7 @@ void dqrlss(double a[], int lda, int m, int n, int kr, double b[], double x[],
|
|||
|
||||
Parameters:
|
||||
|
||||
Input, double A[LDA*N], the QR factorization information
|
||||
Input, float A[LDA*N], the QR factorization information
|
||||
from DQRANK. The triangular matrix R of the QR factorization is
|
||||
contained in the upper triangle and information needed to recover
|
||||
the orthogonal matrix Q is stored below the diagonal in A and in
|
||||
|
@ -1019,12 +1019,12 @@ void dqrlss(double a[], int lda, int m, int n, int kr, double b[], double x[],
|
|||
|
||||
Input, int KR, the rank of the matrix, as estimated by DQRANK.
|
||||
|
||||
Input, double B[M], the right hand side of the linear system.
|
||||
Input, float B[M], the right hand side of the linear system.
|
||||
|
||||
Output, double X[N], a least squares solution to the
|
||||
Output, float X[N], a least squares solution to the
|
||||
linear system.
|
||||
|
||||
Output, double RSD[M], the residual, B - A*X. RSD may
|
||||
Output, float RSD[M], the residual, B - A*X. RSD may
|
||||
overwrite B.
|
||||
|
||||
Input, int JPVT[N], the pivot information from DQRANK.
|
||||
|
@ -1032,7 +1032,7 @@ void dqrlss(double a[], int lda, int m, int n, int kr, double b[], double x[],
|
|||
independent to within the tolerance TOL and the remaining columns
|
||||
are linearly dependent.
|
||||
|
||||
Input, double QRAUX[N], auxiliary information from DQRANK
|
||||
Input, float QRAUX[N], auxiliary information from DQRANK
|
||||
defining the QR factorization.
|
||||
*/
|
||||
{
|
||||
|
@ -1041,7 +1041,7 @@ void dqrlss(double a[], int lda, int m, int n, int kr, double b[], double x[],
|
|||
int j;
|
||||
int job;
|
||||
int k;
|
||||
double t;
|
||||
float t;
|
||||
|
||||
if (kr != 0) {
|
||||
job = 110;
|
||||
|
@ -1071,8 +1071,8 @@ void dqrlss(double a[], int lda, int m, int n, int kr, double b[], double x[],
|
|||
}
|
||||
/******************************************************************************/
|
||||
|
||||
int dqrsl(double a[], int lda, int n, int k, double qraux[], double y[],
|
||||
double qy[], double qty[], double b[], double rsd[], double ab[], int job)
|
||||
int dqrsl(float a[], int lda, int n, int k, float qraux[], float y[],
|
||||
float qy[], float qty[], float b[], float rsd[], float ab[], int job)
|
||||
|
||||
/******************************************************************************/
|
||||
/**
|
||||
|
@ -1158,7 +1158,7 @@ int dqrsl(double a[], int lda, int n, int k, double qraux[], double y[],
|
|||
|
||||
Parameters:
|
||||
|
||||
Input, double A[LDA*P], contains the output of DQRDC.
|
||||
Input, float A[LDA*P], contains the output of DQRDC.
|
||||
|
||||
Input, int LDA, the leading dimension of the array A.
|
||||
|
||||
|
@ -1169,26 +1169,26 @@ int dqrsl(double a[], int lda, int n, int k, double qraux[], double y[],
|
|||
must not be greater than min(N,P), where P is the same as in the
|
||||
calling sequence to DQRDC.
|
||||
|
||||
Input, double QRAUX[P], the auxiliary output from DQRDC.
|
||||
Input, float QRAUX[P], the auxiliary output from DQRDC.
|
||||
|
||||
Input, double Y[N], a vector to be manipulated by DQRSL.
|
||||
Input, float Y[N], a vector to be manipulated by DQRSL.
|
||||
|
||||
Output, double QY[N], contains Q * Y, if requested.
|
||||
Output, float QY[N], contains Q * Y, if requested.
|
||||
|
||||
Output, double QTY[N], contains Q' * Y, if requested.
|
||||
Output, float QTY[N], contains Q' * Y, if requested.
|
||||
|
||||
Output, double B[K], the solution of the least squares problem
|
||||
Output, float B[K], the solution of the least squares problem
|
||||
minimize norm2 ( Y - AK * B),
|
||||
if its computation has been requested. Note that if pivoting was
|
||||
requested in DQRDC, the J-th component of B will be associated with
|
||||
column JPVT(J) of the original matrix A that was input into DQRDC.
|
||||
|
||||
Output, double RSD[N], the least squares residual Y - AK * B,
|
||||
Output, float RSD[N], the least squares residual Y - AK * B,
|
||||
if its computation has been requested. RSD is also the orthogonal
|
||||
projection of Y onto the orthogonal complement of the column space
|
||||
of AK.
|
||||
|
||||
Output, double AB[N], the least squares approximation Ak * B,
|
||||
Output, float AB[N], the least squares approximation Ak * B,
|
||||
if its computation has been requested. AB is also the orthogonal
|
||||
projection of Y onto the column space of A.
|
||||
|
||||
|
@ -1220,8 +1220,8 @@ int dqrsl(double a[], int lda, int n, int k, double qraux[], double y[],
|
|||
int j;
|
||||
int jj;
|
||||
int ju;
|
||||
double t;
|
||||
double temp;
|
||||
float t;
|
||||
float temp;
|
||||
/**
|
||||
Set INFO flag.
|
||||
*/
|
||||
|
@ -1366,7 +1366,7 @@ int dqrsl(double a[], int lda, int n, int k, double qraux[], double y[],
|
|||
|
||||
/******************************************************************************/
|
||||
|
||||
void dscal(int n, double sa, double x[], int incx)
|
||||
void dscal(int n, float sa, float x[], int incx)
|
||||
|
||||
/******************************************************************************/
|
||||
/**
|
||||
|
@ -1402,9 +1402,9 @@ void dscal(int n, double sa, double x[], int incx)
|
|||
|
||||
Input, int N, the number of entries in the vector.
|
||||
|
||||
Input, double SA, the multiplier.
|
||||
Input, float SA, the multiplier.
|
||||
|
||||
Input/output, double X[*], the vector to be scaled.
|
||||
Input/output, float X[*], the vector to be scaled.
|
||||
|
||||
Input, int INCX, the increment between successive entries of X.
|
||||
*/
|
||||
|
@ -1441,7 +1441,7 @@ void dscal(int n, double sa, double x[], int incx)
|
|||
/******************************************************************************/
|
||||
|
||||
|
||||
void dswap(int n, double x[], int incx, double y[], int incy)
|
||||
void dswap(int n, float x[], int incx, float y[], int incy)
|
||||
|
||||
/******************************************************************************/
|
||||
/**
|
||||
|
@ -1477,11 +1477,11 @@ void dswap(int n, double x[], int incx, double y[], int incy)
|
|||
|
||||
Input, int N, the number of entries in the vectors.
|
||||
|
||||
Input/output, double X[*], one of the vectors to swap.
|
||||
Input/output, float X[*], one of the vectors to swap.
|
||||
|
||||
Input, int INCX, the increment between successive entries of X.
|
||||
|
||||
Input/output, double Y[*], one of the vectors to swap.
|
||||
Input/output, float Y[*], one of the vectors to swap.
|
||||
|
||||
Input, int INCY, the increment between successive elements of Y.
|
||||
*/
|
||||
|
@ -1489,7 +1489,7 @@ void dswap(int n, double x[], int incx, double y[], int incy)
|
|||
if (n <= 0) return;
|
||||
|
||||
int i, ix, iy, m;
|
||||
double temp;
|
||||
float temp;
|
||||
|
||||
if (incx == 1 && incy == 1) {
|
||||
m = n % 3;
|
||||
|
@ -1526,7 +1526,7 @@ void dswap(int n, double x[], int incx, double y[], int incy)
|
|||
|
||||
/******************************************************************************/
|
||||
|
||||
void qr_solve(double x[], int m, int n, double a[], double b[])
|
||||
void qr_solve(float x[], int m, int n, float a[], float b[])
|
||||
|
||||
/******************************************************************************/
|
||||
/**
|
||||
|
@ -1569,14 +1569,14 @@ void qr_solve(double x[], int m, int n, double a[], double b[])
|
|||
|
||||
Input, int N, the number of columns of A.
|
||||
|
||||
Input, double A[M*N], the matrix.
|
||||
Input, float A[M*N], the matrix.
|
||||
|
||||
Input, double B[M], the right hand side.
|
||||
Input, float B[M], the right hand side.
|
||||
|
||||
Output, double QR_SOLVE[N], the least squares solution.
|
||||
Output, float QR_SOLVE[N], the least squares solution.
|
||||
*/
|
||||
{
|
||||
double a_qr[n * m], qraux[n], r[m], tol;
|
||||
float a_qr[n * m], qraux[n], r[m], tol;
|
||||
int ind, itask, jpvt[n], kr, lda;
|
||||
|
||||
r8mat_copy(a_qr, m, n, a);
|
||||
|
|
|
@ -24,21 +24,21 @@
|
|||
|
||||
#if ENABLED(AUTO_BED_LEVELING_GRID)
|
||||
|
||||
void daxpy(int n, double da, double dx[], int incx, double dy[], int incy);
|
||||
double ddot(int n, double dx[], int incx, double dy[], int incy);
|
||||
double dnrm2(int n, double x[], int incx);
|
||||
void dqrank(double a[], int lda, int m, int n, double tol, int* kr,
|
||||
int jpvt[], double qraux[]);
|
||||
void dqrdc(double a[], int lda, int n, int p, double qraux[], int jpvt[],
|
||||
double work[], int job);
|
||||
int dqrls(double a[], int lda, int m, int n, double tol, int* kr, double b[],
|
||||
double x[], double rsd[], int jpvt[], double qraux[], int itask);
|
||||
void dqrlss(double a[], int lda, int m, int n, int kr, double b[], double x[],
|
||||
double rsd[], int jpvt[], double qraux[]);
|
||||
int dqrsl(double a[], int lda, int n, int k, double qraux[], double y[],
|
||||
double qy[], double qty[], double b[], double rsd[], double ab[], int job);
|
||||
void dscal(int n, double sa, double x[], int incx);
|
||||
void dswap(int n, double x[], int incx, double y[], int incy);
|
||||
void qr_solve(double x[], int m, int n, double a[], double b[]);
|
||||
void daxpy(int n, float da, float dx[], int incx, float dy[], int incy);
|
||||
float ddot(int n, float dx[], int incx, float dy[], int incy);
|
||||
float dnrm2(int n, float x[], int incx);
|
||||
void dqrank(float a[], int lda, int m, int n, float tol, int* kr,
|
||||
int jpvt[], float qraux[]);
|
||||
void dqrdc(float a[], int lda, int n, int p, float qraux[], int jpvt[],
|
||||
float work[], int job);
|
||||
int dqrls(float a[], int lda, int m, int n, float tol, int* kr, float b[],
|
||||
float x[], float rsd[], int jpvt[], float qraux[], int itask);
|
||||
void dqrlss(float a[], int lda, int m, int n, int kr, float b[], float x[],
|
||||
float rsd[], int jpvt[], float qraux[]);
|
||||
int dqrsl(float a[], int lda, int n, int k, float qraux[], float y[],
|
||||
float qy[], float qty[], float b[], float rsd[], float ab[], int job);
|
||||
void dscal(int n, float sa, float x[], int incx);
|
||||
void dswap(int n, float x[], int incx, float y[], int incy);
|
||||
void qr_solve(float x[], int m, int n, float a[], float b[]);
|
||||
|
||||
#endif
|
||||
|
|
Loading…
Reference in a new issue