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vector_math Module Reference
Functions/Subroutines | |
| subroutine, public | vector_rzero (a, n) |
| Zero a real vector. | |
| subroutine, public | vector_rone (a, n) |
| Set all elements to one. | |
| subroutine, public | vector_copy (a, b, n) |
| Copy a vector \( a = b \). | |
| subroutine, public | vector_cmult (a, c, n) |
| Multiplication by constant c \( a = c \cdot a \). | |
| subroutine, public | vector_cadd (a, s, n) |
| Add a scalar to vector \( a = \sum a_i + s \). | |
| subroutine, public | vector_cadd2 (a, b, s, n) |
| Add a scalar to vector \( a_i = b_i + s \). | |
| subroutine, public | vector_cfill (a, c, n) |
| Set all elements to a constant c \( a = c \). | |
| subroutine, public | vector_invcol1 (a, n) |
| Invert a vector \( a = 1 / a \). | |
| subroutine, public | vector_invcol3 (a, b, c, n) |
| Invert a vector \( a = b / c \). | |
| subroutine, public | vector_vdot3 (dot, u1, u2, u3, v1, v2, v3, n) |
| Compute a dot product \( dot = u \cdot v \) (3-d version) assuming vector components \( u = (u_1, u_2, u_3) \) etc. | |
| subroutine, public | vector_add2 (a, b, n) |
| Vector addition \( a = a + b \). | |
| subroutine, public | vector_add3 (a, b, c, n) |
| Vector addition \( a = b + c \). | |
| subroutine | vector_add4 (a, b, c, d, n) |
| Vector addition \( a = b + c + d \). | |
| subroutine, public | vector_sub2 (a, b, n) |
| Vector substraction \( a = a - b \). | |
| subroutine, public | vector_sub3 (a, b, c, n) |
| Vector subtraction \( a = b - c \). | |
| subroutine, public | vector_add2s1 (a, b, c1, n) |
| Vector addition with scalar multiplication \( a = c_1 a + b \) (multiplication on first argument) | |
| subroutine, public | vector_add2s2 (a, b, c1, n) |
| Vector addition with scalar multiplication \( a = a + c_1 b \) (multiplication on second argument) | |
| subroutine, public | vector_addsqr2s2 (a, b, c1, n) |
| Returns \( a = a + c1 * (b * b )\). | |
| subroutine, public | vector_cmult2 (a, b, c, n) |
| Multiplication by constant c \( a = c \cdot b \). | |
| subroutine, public | vector_invcol2 (a, b, n) |
| Vector division \( a = a / b \). | |
| subroutine, public | vector_col2 (a, b, n) |
| Vector multiplication \( a = a \cdot b \). | |
| subroutine, public | vector_col3 (a, b, c, n) |
| Vector multiplication with 3 vectors \( a = b \cdot c \). | |
| subroutine, public | vector_subcol3 (a, b, c, n) |
| Returns \( a = a - b*c \). | |
| subroutine, public | vector_add3s2 (a, b, c, c1, c2, n) |
| Returns \( a = c1 * b + c2 * c \). | |
| subroutine, public | vector_addcol3 (a, b, c, n) |
| Returns \( a = a + b*c \). | |
| subroutine, public | vector_addcol4 (a, b, c, d, n) |
| Returns \( a = a + b*c*d \). | |
| real(kind=rp) function, public | vector_glsum (a, n) |
| real(kind=rp) function, public | vector_glmax (a, n) |
| Global maximum of all elements in a vector \( max = \max_i a_i \). | |
| real(kind=rp) function, public | vector_glmin (a, n) |
| Global minimum of all elements in a vector \( min = \min_i a_i \). | |
| real(kind=rp) function, public | vector_glsc2 (a, b, n) |
| real(kind=rp) function, public | vector_glsc3 (a, b, c, n) |
| subroutine, public | vector_absval (a, n) |
| Compute the pointwise absolute value of a vector \( a = |a| \). | |
| real(kind=rp) function, public | vector_glsubnorm (a, b, n) |
| subroutine, public | vector_masked_gather_copy_0 (a, b, mask, n, n_mask) |
| Gather a vector to reduced contigous array \( a = b(mask) \). | |
| subroutine, public | vector_face_masked_gather_copy_0 (a, b, mask, facet, lx, ly, lz, n_mask) |
| Gather a face-local SEM field to a reduced contiguous vector. | |
| subroutine, public | vector_masked_gather_copy (a, b, mask, n) |
| Gather a vector to reduced contigous array \( a = b(mask) \). | |
| subroutine, public | vector_masked_scatter_copy_0 (a, b, mask, n, n_mask) |
| Scatter a contiguous vector into an array \( a(mask) = b \). | |
| subroutine, public | vector_masked_scatter_copy (a, b, mask, n) |
| Scatter a contiguous vector into an array \( a(mask) = b \). | |
| subroutine, public | vector_cwrap (a, min_value, max_value, n) |
| Wrap vector elements into the range [min_value, max_value) | |
| subroutine, public | vector_sqrt_inplace (a, n) |
| Sqrt a vector \( a = sqrt(a) \). | |
| subroutine, public | vector_power (ap, a, p, n) |
| Take the power of a vector \( a^p \). | |
Function/Subroutine Documentation
◆ vector_absval()
◆ vector_add2()
◆ vector_add2s1()
◆ vector_add2s2()
| subroutine, public vector_math::vector_add2s2 | ( | type(vector_t), intent(inout) | a, |
| type(vector_t), intent(in) | b, | ||
| real(kind=rp), intent(in) | c1, | ||
| integer, intent(in), optional | n | ||
| ) |
Definition at line 448 of file vector_math.f90.
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◆ vector_add3()
◆ vector_add3s2()
◆ vector_add4()
◆ vector_addcol3()
◆ vector_addcol4()
◆ vector_addsqr2s2()
◆ vector_cadd()
| subroutine, public vector_math::vector_cadd | ( | type(vector_t), intent(inout) | a, |
| real(kind=rp), intent(in) | s, | ||
| integer, intent(in), optional | n | ||
| ) |
Definition at line 184 of file vector_math.f90.
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◆ vector_cadd2()
◆ vector_cfill()
| subroutine, public vector_math::vector_cfill | ( | type(vector_t), intent(inout) | a, |
| real(kind=rp), intent(in) | c, | ||
| integer, intent(in), optional | n | ||
| ) |
Definition at line 226 of file vector_math.f90.
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◆ vector_cmult()
| subroutine, public vector_math::vector_cmult | ( | type(vector_t), intent(inout) | a, |
| real(kind=rp), intent(in) | c, | ||
| integer, intent(in), optional | n | ||
| ) |
Definition at line 164 of file vector_math.f90.
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◆ vector_cmult2()
| subroutine, public vector_math::vector_cmult2 | ( | type(vector_t), intent(inout) | a, |
| type(vector_t), intent(in) | b, | ||
| real(kind=rp), intent(in) | c, | ||
| integer, intent(in), optional | n | ||
| ) |
Definition at line 492 of file vector_math.f90.
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◆ vector_col2()
| subroutine, public vector_math::vector_col2 | ( | type(vector_t), intent(inout) | a, |
| type(vector_t), intent(in) | b, | ||
| integer, intent(in), optional | n | ||
| ) |
Definition at line 536 of file vector_math.f90.
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◆ vector_col3()
◆ vector_copy()
◆ vector_cwrap()
◆ vector_face_masked_gather_copy_0()
| subroutine, public vector_math::vector_face_masked_gather_copy_0 | ( | type(vector_t), intent(inout) | a, |
| real(kind=rp), dimension(:, :, :, :), intent(in) | b, | ||
| integer, dimension(0:n_mask), intent(in) | mask, | ||
| integer, dimension(0:n_mask), intent(in) | facet, | ||
| integer, intent(in) | lx, | ||
| integer, intent(in) | ly, | ||
| integer, intent(in) | lz, | ||
| integer, intent(in) | n_mask | ||
| ) |
- Parameters
-
a Destination vector of size n_mask.b Source face-local array indexed as b(:, :, facet, element).mask Mask array of length n_mask + 1, wheremask(0) = n_mask.facet Facet ids associated with the masked points. lx Number of points in the first SEM direction. ly Number of points in the second SEM direction. lz Number of points in the third SEM direction. n_mask Size of the mask array maskand vectora.
Definition at line 846 of file vector_math.f90.
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◆ vector_glmax()
| real(kind=rp) function, public vector_math::vector_glmax | ( | type(vector_t), intent(in) | a, |
| integer, intent(in), optional | n | ||
| ) |
Definition at line 689 of file vector_math.f90.
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◆ vector_glmin()
| real(kind=rp) function, public vector_math::vector_glmin | ( | type(vector_t), intent(in) | a, |
| integer, intent(in), optional | n | ||
| ) |
Definition at line 710 of file vector_math.f90.
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◆ vector_glsc2()
| real(kind=rp) function, public vector_math::vector_glsc2 | ( | type(vector_t), intent(in) | a, |
| type(vector_t), intent(in) | b, | ||
| integer, intent(in), optional | n | ||
| ) |
Definition at line 730 of file vector_math.f90.
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◆ vector_glsc3()
◆ vector_glsubnorm()
◆ vector_glsum()
| real(kind=rp) function, public vector_math::vector_glsum | ( | type(vector_t), intent(in) | a, |
| integer, intent(in), optional | n | ||
| ) |
Definition at line 668 of file vector_math.f90.
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◆ vector_invcol1()
◆ vector_invcol2()
| subroutine, public vector_math::vector_invcol2 | ( | type(vector_t), intent(inout) | a, |
| type(vector_t), intent(in) | b, | ||
| integer, intent(in), optional | n | ||
| ) |
Definition at line 514 of file vector_math.f90.
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◆ vector_invcol3()
◆ vector_masked_gather_copy()
| subroutine, public vector_math::vector_masked_gather_copy | ( | type(vector_t), intent(inout) | a, |
| real(kind=rp), dimension(:), intent(in) | b, | ||
| type(mask_t), intent(in) | mask, | ||
| integer, intent(in) | n | ||
| ) |
- Parameters
-
a Destination vector of size n_mask.b Source array of size n.mask mask_t containing mask array and device pointer if needed. n Size of the vector b.
Definition at line 873 of file vector_math.f90.
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◆ vector_masked_gather_copy_0()
| subroutine, public vector_math::vector_masked_gather_copy_0 | ( | type(vector_t), intent(inout) | a, |
| real(kind=rp), dimension(n), intent(in) | b, | ||
| integer, dimension(0:n_mask) | mask, | ||
| integer, intent(in) | n, | ||
| integer, intent(in) | n_mask | ||
| ) |
- Parameters
-
a Destination vector of size n_mask.b Source array of size n.mask Mask array of length n_mask + 1, where mask(0) = n_maskthe length of the mask array.n Size of the vector b.n_mask Size of the mask array maskanda.
Definition at line 818 of file vector_math.f90.
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◆ vector_masked_scatter_copy()
| subroutine, public vector_math::vector_masked_scatter_copy | ( | real(kind=rp), dimension(:), intent(inout) | a, |
| type(vector_t), intent(in) | b, | ||
| type(mask_t), intent(in) | mask, | ||
| integer, intent(in) | n | ||
| ) |
- Parameters
-
a Destination array. b Source vector of size n_mask.mask mask_t containing mask array and device pointer if needed. @param n Size of the arraya`.
Definition at line 926 of file vector_math.f90.
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◆ vector_masked_scatter_copy_0()
| subroutine, public vector_math::vector_masked_scatter_copy_0 | ( | real(kind=rp), dimension(n), intent(inout) | a, |
| type(vector_t), intent(in) | b, | ||
| integer, dimension(0:n_mask) | mask, | ||
| integer, intent(in) | n, | ||
| integer, intent(in) | n_mask | ||
| ) |
- Parameters
-
a Destination array. b Source vector of size n_mask.mask Mask array of length n_mask + 1, where mask(0) = n_maskthe length of the mask array.n Size of the array a.n_mask Size of the mask array maskand vectorb.
Definition at line 901 of file vector_math.f90.
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◆ vector_power()
| subroutine, public vector_math::vector_power | ( | type(vector_t), intent(inout) | ap, |
| type(vector_t), intent(in) | a, | ||
| real(kind=rp), intent(in) | p, | ||
| integer, intent(in), optional | n | ||
| ) |
Definition at line 990 of file vector_math.f90.
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◆ vector_rone()
◆ vector_rzero()
◆ vector_sqrt_inplace()
| subroutine, public vector_math::vector_sqrt_inplace | ( | type(vector_t), intent(inout) | a, |
| integer, intent(in), optional | n | ||
| ) |
Definition at line 970 of file vector_math.f90.
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◆ vector_sub2()
◆ vector_sub3()
| subroutine, public vector_math::vector_sub3 | ( | type(vector_t), intent(inout) | a, |
| type(vector_t), intent(in) | b, | ||
| type(vector_t), intent(in) | c, | ||
| integer, intent(in), optional | n | ||
| ) |
Definition at line 401 of file vector_math.f90.
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◆ vector_subcol3()
◆ vector_vdot3()
| subroutine, public vector_math::vector_vdot3 | ( | type(vector_t), intent(inout) | dot, |
| type(vector_t), intent(in) | u1, | ||
| type(vector_t), intent(in) | u2, | ||
| type(vector_t), intent(in) | u3, | ||
| type(vector_t), intent(in) | v1, | ||
| type(vector_t), intent(in) | v2, | ||
| type(vector_t), intent(in) | v3, | ||
| integer, intent(in), optional | n | ||
| ) |
Definition at line 289 of file vector_math.f90.
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