Functionality to perform spin spherical harmonic transforms on the sphere. More...
Data Types | |
| interface | ssht_core_dh_inverse |
| Generic interface that points to specific implementation. More... | |
| interface | ssht_core_dh_forward |
| Generic interface that points to specific implementation. More... | |
| interface | ssht_core_dh_inverse_real |
| Generic interface that points to specific implementation. More... | |
| interface | ssht_core_dh_forward_real |
| Generic interface that points to specific implementation. More... | |
| interface | ssht_core_gl_inverse |
| Generic interface that points to specific implementation. More... | |
| interface | ssht_core_gl_forward |
| Generic interface that points to specific implementation. More... | |
| interface | ssht_core_gl_inverse_real |
| Generic interface that points to specific implementation. More... | |
| interface | ssht_core_gl_forward_real |
| Generic interface that points to specific implementation. More... | |
| interface | ssht_core_mweo_inverse |
| Generic interface that points to specific implementation. More... | |
| interface | ssht_core_mweo_forward |
| Generic interface that points to specific implementation. More... | |
| interface | ssht_core_mweo_inverse_real |
| Generic interface that points to specific implementation. More... | |
| interface | ssht_core_mweo_forward_real |
| Generic interface that points to specific implementation. More... | |
| interface | ssht_core_mweo_inverse_rsp |
| Generic interface that points to specific implementation. More... | |
| interface | ssht_core_mweo_forward_rsp |
| Generic interface that points to specific implementation. More... | |
| interface | ssht_core_mweo_inverse_real_rsp |
| Generic interface that points to specific implementation. More... | |
| interface | ssht_core_mweo_forward_real_rsp |
| Generic interface that points to specific implementation. More... | |
| interface | ssht_core_mw_inverse |
| Generic interface that points to specific implementation. More... | |
| interface | ssht_core_mw_forward |
| Generic interface that points to specific implementation. More... | |
| interface | ssht_core_mw_inverse_real |
| Generic interface that points to specific implementation. More... | |
| interface | ssht_core_mw_forward_real |
| Generic interface that points to specific implementation. More... | |
| interface | ssht_core_mw_inverse_rsp |
| Generic interface that points to specific implementation. More... | |
| interface | ssht_core_mw_forward_rsp |
| Generic interface that points to specific implementation. More... | |
| interface | ssht_core_mw_inverse_real_rsp |
| Generic interface that points to specific implementation. More... | |
| interface | ssht_core_mw_forward_real_rsp |
| Generic interface that points to specific implementation. More... | |
Functions/Subroutines | |
| subroutine | ssht_core_mweo_inverse_sp (f, f_sp, phi_sp, flm, L, spin, verbosity) |
| South pole wrapper for inverse transform using MWEO method. | |
| subroutine | ssht_core_mweo_forward_sp (flm, f, f_sp, phi_sp, L, spin, verbosity) |
| South pole wrapper for forward transform using MWEO method. | |
| subroutine | ssht_core_mweo_inverse_real_sp (f, f_sp, flm, L, verbosity) |
| South pole wrapper for inverse transform of real scalar function using MWEO method. | |
| subroutine | ssht_core_mweo_forward_real_sp (flm, f, f_sp, L, verbosity) |
| South pole wrapper for forward transform of real scalar function using MWEO method. | |
| subroutine | ssht_core_mw_inverse_sp (f, f_sp, phi_sp, flm, L, spin, verbosity) |
| South pole wrapper for inverse transform using MW method. | |
| subroutine | ssht_core_mw_forward_sp (flm, f, f_sp, phi_sp, L, spin, verbosity) |
| South pole wrapper for forward transform using MW method. | |
| subroutine | ssht_core_mw_inverse_real_sp (f, f_sp, flm, L, verbosity) |
| South pole wrapper for inverse transform of real scalar function using MW method. | |
| subroutine | ssht_core_mw_forward_real_sp (flm, f, f_sp, L, verbosity) |
| South pole wrapper for forward transform of real scalar function using MW method. | |
| subroutine | ssht_core_dh_inverse_direct (f, flm, L, spin, verbosity) |
| Compute inverse transform for DH method using direct evaluation with dlmn evaluated for each theta. | |
| subroutine | ssht_core_dh_inverse_direct_factored (f, flm, L, spin, verbosity) |
| Compute inverse transform for DH method using direct evaluation but dlmn factored, i.e. dlmn evaluated at PI/2. | |
| subroutine | ssht_core_dh_inverse_sov_direct (f, flm, L, spin, verbosity) |
| Compute inverse transform for DH method using separation of variables but only discrete (not fast) Fourier transforms. | |
| subroutine | ssht_core_dh_inverse_sov (f, flm, L, spin, verbosity) |
| Compute inverse transform for DH method using separation of variables and fast Fourier transforms. | |
| subroutine | ssht_core_dh_inverse_sov_sym (f, flm, L, spin, verbosity) |
| Compute inverse transform for DH method using separation of variables, fast Fourier transforms and exploiting all symmetries (for complex spin signal). | |
| subroutine | ssht_core_dh_inverse_sov_sym_real (f, flm, L, verbosity) |
| Compute inverse transform for DH method of real scalar signal using separation of variables, fast Fourier transforms and exploiting all symmetries (including additional symmetries for real signals). | |
| subroutine | ssht_core_gl_inverse_sov_sym (f, flm, L, spin, verbosity) |
| Compute inverse transform for GL method using separation of variables, fast Fourier transforms and exploiting all symmetries (for complex spin signal). | |
| subroutine | ssht_core_gl_inverse_sov_sym_real (f, flm, L, verbosity) |
| Compute inverse transform for GL method of real scalar signal using separation of variables, fast Fourier transforms and exploiting all symmetries (including additional symmetries for real signals). | |
| subroutine | ssht_core_mweo_inverse_direct (f, flm, L, spin, verbosity) |
| Compute inverse transform for MWEO method using direct evaluation with dlmn evaluated for each theta. | |
| subroutine | ssht_core_mweo_inverse_sov_direct (f, flm, L, spin, verbosity) |
| Compute inverse transform for MWEO method using separation of variables but only discrete (not fast) Fourier transforms. | |
| subroutine | ssht_core_mweo_inverse_sov (f, flm, L, spin, verbosity) |
| Compute inverse transform for MWEO method using separation of variables and fast Fourier transforms. | |
| subroutine | ssht_core_mweo_inverse_sov_sym (f, flm, L, spin, verbosity) |
| Compute inverse transform for MWEO method using separation of variables, fast Fourier transforms and exploiting all symmetries (for complex spin signal). | |
| subroutine | ssht_core_mweo_inverse_sov_sym_real (f, flm, L, verbosity) |
| Compute inverse transform for MWEO method of real scalar signal using separation of variables, fast Fourier transforms and exploiting all symmetries (including additional symmetries for real signals). | |
| subroutine | ssht_core_mw_inverse_sov_direct (f, flm, L, spin, verbosity) |
| Compute inverse transform for MW method using separation of variables but only discrete (not fast) Fourier transforms. | |
| subroutine | ssht_core_mw_inverse_sov (f, flm, L, spin, verbosity) |
| Compute inverse transform for MW method using separation of variables and fast Fourier transforms. | |
| subroutine | ssht_core_mw_inverse_sov_sym (f, flm, L, spin, verbosity) |
| Compute inverse transform for MW method using separation of variables, fast Fourier transforms and exploiting all symmetries (for complex spin signal). | |
| subroutine | ssht_core_mw_inverse_sov_sym_real (f, flm, L, verbosity) |
| Compute inverse transform for MW method of real scalar signal using separation of variables, fast Fourier transforms and exploiting all symmetries (including additional symmetries for real signals). | |
| subroutine | ssht_core_dh_forward_sov_direct (flm, f, L, spin, verbosity) |
| Compute forward transform for DH method using separation of variables but only discrete (not fast) Fourier transforms. | |
| subroutine | ssht_core_dh_forward_sov (flm, f, L, spin, verbosity) |
| Compute forward transform for DH method using separation of variables and fast Fourier transforms. | |
| subroutine | ssht_core_dh_forward_sov_sym (flm, f, L, spin, verbosity) |
| Compute forward transform for DH method using separation of variables, fast Fourier transforms and exploiting all symmetries (for complex spin signal). | |
| subroutine | ssht_core_dh_forward_sov_sym_real (flm, f, L, verbosity) |
| Compute forward transform for DH method of real scalar signal using separation of variables, fast Fourier transforms and exploiting all symmetries (including additional symmetries for real signals). | |
| subroutine | ssht_core_gl_forward_sov_sym (flm, f, L, spin, verbosity) |
| Compute forward transform for GL method using separation of variables, fast Fourier transforms and exploiting all symmetries (for complex spin signal). | |
| subroutine | ssht_core_gl_forward_sov_sym_real (flm, f, L, verbosity) |
| Compute forward transform for GL method of real scalar signal using separation of variables, fast Fourier transforms and exploiting all symmetries (including additional symmetries for real signals). | |
| subroutine | ssht_core_mweo_forward_sov_direct (flm, f, L, spin, verbosity) |
| Compute forward transform for MWEO method using separation of variables but only discrete (not fast) Fourier transforms. | |
| subroutine | ssht_core_mweo_forward_sov (flm, f, L, spin, verbosity) |
| Compute forward transform for MWEO method using separation of variables and fast Fourier transforms. | |
| subroutine | ssht_core_mweo_forward_sov_conv (flm, f, L, spin, verbosity) |
| Compute forward transform for MWEO method using separation of variables, fast Fourier transforms and performing convolution with weights as product in transformed space. | |
| subroutine | ssht_core_mweo_forward_sov_conv_sym (flm, f, L, spin, verbosity) |
| Compute forward transform for MWEO method using separation of variables, fast Fourier transforms, performing convolution with weights as product in transformed space and exploiting all symmetries (for complex spin signal). | |
| subroutine | ssht_core_mweo_forward_sov_conv_sym_real (flm, f, L, verbosity) |
| Compute forward transform for MWEO method of real scalar signal using separation of variables, fast Fourier transforms, performing convolution with weights as product in transformed space and exploiting all symmetries (including additional symmetries for real signals). | |
| subroutine | ssht_core_mw_forward_sov_direct (flm, f, L, spin, verbosity) |
| Compute forward transform for MW method using separation of variables but only discrete (not fast) Fourier transforms. | |
| subroutine | ssht_core_mw_forward_sov (flm, f, L, spin, verbosity) |
| Compute forward transform for MW method using separation of variables and fast Fourier transforms. | |
| subroutine | ssht_core_mw_forward_sov_conv (flm, f, L, spin, verbosity) |
| Compute forward transform for MW method using separation of variables, fast Fourier transforms and performing convolution with weights as product in transformed space. | |
| subroutine | ssht_core_mw_forward_sov_conv_sym (flm, f, L, spin, verbosity) |
| Compute forward transform for MW method using separation of variables, fast Fourier transforms, performing convolution with weights as product in transformed space and exploiting all symmetries (for complex spin signal). | |
| subroutine | ssht_core_mw_forward_sov_conv_sym_real (flm, f, L, verbosity) |
| Compute forward transform for MW method of real scalar signal using separation of variables, fast Fourier transforms, performing convolution with weights as product in transformed space and exploiting all symmetries (including additional symmetries for real signals). | |
| integer | digit (L) |
| Compute number of digits required to display integer (must be less than 25). | |
Variables | |
| integer, parameter | FFTW_ESTIMATE = 64 |
| integer, parameter | FFTW_MEASURE = 0 |
| integer, parameter | FFTW_FORWARD = -1 |
| integer, parameter | FFTW_BACKWARD = 1 |
Functionality to perform spin spherical harmonic transforms on the sphere.
| integer ssht_core_mod::digit | ( | integer,intent(in) | L | ) | [private] |
Compute number of digits required to display integer (must be less than 25).
Variables:
Definition at line 5703 of file ssht_core_mod.f90.
Referenced by ssht_core_dh_forward_sov(), ssht_core_dh_forward_sov_direct(), ssht_core_dh_forward_sov_sym(), ssht_core_dh_forward_sov_sym_real(), ssht_core_dh_inverse_direct(), ssht_core_dh_inverse_direct_factored(), ssht_core_dh_inverse_sov(), ssht_core_dh_inverse_sov_direct(), ssht_core_dh_inverse_sov_sym(), ssht_core_dh_inverse_sov_sym_real(), ssht_core_gl_forward_sov_sym(), ssht_core_gl_forward_sov_sym_real(), ssht_core_gl_inverse_sov_sym(), ssht_core_gl_inverse_sov_sym_real(), ssht_core_mw_forward_sov(), ssht_core_mw_forward_sov_conv(), ssht_core_mw_forward_sov_conv_sym(), ssht_core_mw_forward_sov_conv_sym_real(), ssht_core_mw_forward_sov_direct(), ssht_core_mw_inverse_sov(), ssht_core_mw_inverse_sov_direct(), ssht_core_mw_inverse_sov_sym(), ssht_core_mw_inverse_sov_sym_real(), ssht_core_mweo_forward_sov(), ssht_core_mweo_forward_sov_conv(), ssht_core_mweo_forward_sov_conv_sym(), ssht_core_mweo_forward_sov_conv_sym_real(), ssht_core_mweo_forward_sov_direct(), ssht_core_mweo_inverse_direct(), ssht_core_mweo_inverse_sov(), ssht_core_mweo_inverse_sov_direct(), ssht_core_mweo_inverse_sov_sym(), and ssht_core_mweo_inverse_sov_sym_real().
| subroutine ssht_core_mod::ssht_core_dh_forward_sov | ( | complex(dpc),dimension(0:l**2-1),intent(out) | flm, | |
| complex(dpc),dimension(0:2*l-1 ,0:2*l-2),intent(in) | f, | |||
| integer,dimension(l-1),intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute forward transform for DH method using separation of variables and fast Fourier transforms.
Variables:
Definition at line 2860 of file ssht_core_mod.f90.
References digit(), FFTW_FORWARD, FFTW_MEASURE, ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_beta_operator(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_dh_t2theta(), ssht_sampling_mod::ssht_sampling_elm2ind(), and ssht_sampling_mod::ssht_sampling_weight_dh().
| subroutine ssht_core_mod::ssht_core_dh_forward_sov_direct | ( | complex(dpc),dimension(0:l**2-1),intent(out) | flm, | |
| complex(dpc),dimension(0:2*l-1 ,0:2*l-2),intent(in) | f, | |||
| integer,dimension(l-1),intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute forward transform for DH method using separation of variables but only discrete (not fast) Fourier transforms.
Notes:
Variables:
Definition at line 2753 of file ssht_core_mod.f90.
References digit(), ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_beta_operator(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_dh_p2phi(), ssht_sampling_mod::ssht_sampling_dh_t2theta(), ssht_sampling_mod::ssht_sampling_elm2ind(), and ssht_sampling_mod::ssht_sampling_weight_dh().
| subroutine ssht_core_mod::ssht_core_dh_forward_sov_sym | ( | complex(dpc),dimension(0:l**2-1),intent(out) | flm, | |
| complex(dpc),dimension(0:2*l-1 ,0:2*l-2),intent(in) | f, | |||
| integer,dimension(l-1),intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute forward transform for DH method using separation of variables, fast Fourier transforms and exploiting all symmetries (for complex spin signal).
Variables:
Definition at line 2971 of file ssht_core_mod.f90.
References ssht_types_mod::_dp, digit(), FFTW_FORWARD, FFTW_MEASURE, ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_halfpi_trapani_eighth_table(), ssht_dl_mod::ssht_dl_halfpi_trapani_fill_eighth2righthalf_table(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_dh_t2theta(), ssht_sampling_mod::ssht_sampling_elm2ind(), and ssht_sampling_mod::ssht_sampling_weight_dh().
| subroutine ssht_core_mod::ssht_core_dh_forward_sov_sym_real | ( | complex(dpc),dimension(0:l**2-1),intent(out) | flm, | |
| real(dp),dimension(0:2*l-1 ,0:2*l-2),intent(in) | f, | |||
| integer,intent(in) | L, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute forward transform for DH method of real scalar signal using separation of variables, fast Fourier transforms and exploiting all symmetries (including additional symmetries for real signals).
Variables:
Definition at line 3121 of file ssht_core_mod.f90.
References ssht_types_mod::_dp, digit(), FFTW_MEASURE, ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_halfpi_trapani_eighth_table(), ssht_dl_mod::ssht_dl_halfpi_trapani_fill_eighth2quarter_table(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_dh_t2theta(), ssht_sampling_mod::ssht_sampling_elm2ind(), and ssht_sampling_mod::ssht_sampling_weight_dh().
| subroutine ssht_core_mod::ssht_core_dh_inverse_direct | ( | complex(dpc),dimension(0:2*l-1, 0:2*l-2),intent(out) | f, | |
| complex(dpc),dimension(0:l**2-1),intent(in) | flm, | |||
| integer,dimension(l-1),intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute inverse transform for DH method using direct evaluation with dlmn evaluated for each theta.
Notes:
Variables:
Definition at line 606 of file ssht_core_mod.f90.
References digit(), ssht_types_mod::I, ssht_types_mod::PI, ssht_dl_mod::ssht_dl_beta_operator(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_dh_p2phi(), ssht_sampling_mod::ssht_sampling_dh_t2theta(), and ssht_sampling_mod::ssht_sampling_elm2ind().
| subroutine ssht_core_mod::ssht_core_dh_inverse_direct_factored | ( | complex(dpc),dimension(0:2*l-1, 0:2*l-2),intent(out) | f, | |
| complex(dpc),dimension(0:l**2-1),intent(in) | flm, | |||
| integer,dimension(l-1),intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute inverse transform for DH method using direct evaluation but dlmn factored, i.e. dlmn evaluated at PI/2.
Notes:
Variables:
Definition at line 689 of file ssht_core_mod.f90.
References digit(), ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_beta_operator(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_dh_p2phi(), ssht_sampling_mod::ssht_sampling_dh_t2theta(), and ssht_sampling_mod::ssht_sampling_elm2ind().
| subroutine ssht_core_mod::ssht_core_dh_inverse_sov | ( | complex(dpc),dimension(0:2*l-1, 0:2*l-2),intent(out) | f, | |
| complex(dpc),dimension(0:l**2-1),intent(in) | flm, | |||
| integer,dimension(l-1),intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute inverse transform for DH method using separation of variables and fast Fourier transforms.
Variables:
Definition at line 879 of file ssht_core_mod.f90.
References digit(), FFTW_BACKWARD, FFTW_MEASURE, ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_beta_operator(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_dh_t2theta(), and ssht_sampling_mod::ssht_sampling_elm2ind().
| subroutine ssht_core_mod::ssht_core_dh_inverse_sov_direct | ( | complex(dpc),dimension(0:2*l-1, 0:2*l-2),intent(out) | f, | |
| complex(dpc),dimension(0:l**2-1),intent(in) | flm, | |||
| integer,dimension(l-1),intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute inverse transform for DH method using separation of variables but only discrete (not fast) Fourier transforms.
Notes:
Variables:
Definition at line 775 of file ssht_core_mod.f90.
References digit(), ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_beta_operator(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_dh_p2phi(), ssht_sampling_mod::ssht_sampling_dh_t2theta(), and ssht_sampling_mod::ssht_sampling_elm2ind().
| subroutine ssht_core_mod::ssht_core_dh_inverse_sov_sym | ( | complex(dpc),dimension(0:2*l-1, 0:2*l-2),intent(out) | f, | |
| complex(dpc),dimension(0:l**2-1),intent(in) | flm, | |||
| integer,intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute inverse transform for DH method using separation of variables, fast Fourier transforms and exploiting all symmetries (for complex spin signal).
Variables:
Definition at line 988 of file ssht_core_mod.f90.
References ssht_types_mod::_dp, digit(), FFTW_BACKWARD, FFTW_MEASURE, ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_halfpi_trapani_eighth_table(), ssht_dl_mod::ssht_dl_halfpi_trapani_fill_eighth2righthalf_table(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_dh_t2theta(), and ssht_sampling_mod::ssht_sampling_elm2ind().
| subroutine ssht_core_mod::ssht_core_dh_inverse_sov_sym_real | ( | real(dp),dimension(0:2*l-1, 0:2*l-2),intent(out) | f, | |
| complex(dpc),dimension(0:l**2-1),intent(in) | flm, | |||
| integer,intent(in) | L, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute inverse transform for DH method of real scalar signal using separation of variables, fast Fourier transforms and exploiting all symmetries (including additional symmetries for real signals).
Variables:
Definition at line 1151 of file ssht_core_mod.f90.
References ssht_types_mod::_dp, digit(), FFTW_MEASURE, ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_halfpi_trapani_eighth_table(), ssht_dl_mod::ssht_dl_halfpi_trapani_fill_eighth2quarter_table(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_dh_t2theta(), and ssht_sampling_mod::ssht_sampling_elm2ind().
| subroutine ssht_core_mod::ssht_core_gl_forward_sov_sym | ( | complex(dpc),dimension(0:l**2-1),intent(out) | flm, | |
| complex(dpc),dimension(0:l-1 ,0:2*l-2),intent(in) | f, | |||
| integer,dimension(l-1),intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute forward transform for GL method using separation of variables, fast Fourier transforms and exploiting all symmetries (for complex spin signal).
Variables:
Definition at line 3297 of file ssht_core_mod.f90.
References ssht_types_mod::_dp, digit(), FFTW_FORWARD, FFTW_MEASURE, ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_halfpi_trapani_eighth_table(), ssht_dl_mod::ssht_dl_halfpi_trapani_fill_eighth2righthalf_table(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_elm2ind(), and ssht_sampling_mod::ssht_sampling_gl_thetas_weights().
| subroutine ssht_core_mod::ssht_core_gl_forward_sov_sym_real | ( | complex(dpc),dimension(0:l**2-1),intent(out) | flm, | |
| real(dp),dimension(0:l-1 ,0:2*l-2),intent(in) | f, | |||
| integer,intent(in) | L, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute forward transform for GL method of real scalar signal using separation of variables, fast Fourier transforms and exploiting all symmetries (including additional symmetries for real signals).
Variables:
Definition at line 3454 of file ssht_core_mod.f90.
References ssht_types_mod::_dp, digit(), FFTW_MEASURE, ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_halfpi_trapani_eighth_table(), ssht_dl_mod::ssht_dl_halfpi_trapani_fill_eighth2quarter_table(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_elm2ind(), and ssht_sampling_mod::ssht_sampling_gl_thetas_weights().
| subroutine ssht_core_mod::ssht_core_gl_inverse_sov_sym | ( | complex(dpc),dimension(0:l-1, 0:2*l-2),intent(out) | f, | |
| complex(dpc),dimension(0:l**2-1),intent(in) | flm, | |||
| integer,intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute inverse transform for GL method using separation of variables, fast Fourier transforms and exploiting all symmetries (for complex spin signal).
Variables:
Definition at line 1301 of file ssht_core_mod.f90.
References ssht_types_mod::_dp, digit(), FFTW_BACKWARD, FFTW_MEASURE, ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_halfpi_trapani_eighth_table(), ssht_dl_mod::ssht_dl_halfpi_trapani_fill_eighth2righthalf_table(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_elm2ind(), and ssht_sampling_mod::ssht_sampling_gl_thetas_weights().
| subroutine ssht_core_mod::ssht_core_gl_inverse_sov_sym_real | ( | real(dp),dimension(0:l-1, 0:2*l-2),intent(out) | f, | |
| complex(dpc),dimension(0:l**2-1),intent(in) | flm, | |||
| integer,intent(in) | L, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute inverse transform for GL method of real scalar signal using separation of variables, fast Fourier transforms and exploiting all symmetries (including additional symmetries for real signals).
Variables:
Definition at line 1469 of file ssht_core_mod.f90.
References ssht_types_mod::_dp, digit(), FFTW_MEASURE, ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_halfpi_trapani_eighth_table(), ssht_dl_mod::ssht_dl_halfpi_trapani_fill_eighth2quarter_table(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_elm2ind(), and ssht_sampling_mod::ssht_sampling_gl_thetas_weights().
| subroutine ssht_core_mod::ssht_core_mw_forward_real_sp | ( | complex(dpc),dimension(0:l**2-1),intent(out) | flm, | |
| real(dp),dimension(0:l-2, 0:2*l-2),intent(in) | f, | |||
| real(dp),intent(in) | f_sp, | |||
| integer,intent(in) | L, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
South pole wrapper for forward transform of real scalar function using MW method.
Variables:
Definition at line 556 of file ssht_core_mod.f90.
| subroutine ssht_core_mod::ssht_core_mw_forward_sov | ( | complex(dpc),dimension(0:l**2-1),intent(out) | flm, | |
| complex(dpc),dimension(0:l-1 ,0:2*l-2),intent(in) | f, | |||
| integer,dimension(l-1),intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute forward transform for MW method using separation of variables and fast Fourier transforms.
Variables:
Definition at line 4919 of file ssht_core_mod.f90.
References digit(), FFTW_FORWARD, FFTW_MEASURE, ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_beta_operator(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_elm2ind(), and ssht_sampling_mod::ssht_sampling_weight_mw().
| subroutine ssht_core_mod::ssht_core_mw_forward_sov_conv | ( | complex(dpc),dimension(0:l**2-1),intent(out) | flm, | |
| complex(dpc),dimension(0:l-1 ,0:2*l-2),intent(in) | f, | |||
| integer,dimension(l-1),intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute forward transform for MW method using separation of variables, fast Fourier transforms and performing convolution with weights as product in transformed space.
Variables:
Definition at line 5046 of file ssht_core_mod.f90.
References digit(), FFTW_BACKWARD, FFTW_FORWARD, FFTW_MEASURE, ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_beta_operator(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_elm2ind(), and ssht_sampling_mod::ssht_sampling_weight_mw().
| subroutine ssht_core_mod::ssht_core_mw_forward_sov_conv_sym | ( | complex(dpc),dimension(0:l**2-1),intent(out) | flm, | |
| complex(dpc),dimension(0:l-1 ,0:2*l-2),intent(in) | f, | |||
| integer,dimension(l-1),intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute forward transform for MW method using separation of variables, fast Fourier transforms, performing convolution with weights as product in transformed space and exploiting all symmetries (for complex spin signal).
Variables:
Definition at line 5228 of file ssht_core_mod.f90.
References ssht_types_mod::_dp, digit(), FFTW_BACKWARD, FFTW_FORWARD, FFTW_MEASURE, ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_halfpi_trapani_eighth_table(), ssht_dl_mod::ssht_dl_halfpi_trapani_fill_eighth2righthalf_table(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_elm2ind(), and ssht_sampling_mod::ssht_sampling_weight_mw().
| subroutine ssht_core_mod::ssht_core_mw_forward_sov_conv_sym_real | ( | complex(dpc),dimension(0:l**2-1),intent(out) | flm, | |
| real(dp),dimension(0:l-1 ,0:2*l-2),intent(in) | f, | |||
| integer,intent(in) | L, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute forward transform for MW method of real scalar signal using separation of variables, fast Fourier transforms, performing convolution with weights as product in transformed space and exploiting all symmetries (including additional symmetries for real signals).
Variables:
Definition at line 5448 of file ssht_core_mod.f90.
References ssht_types_mod::_dp, digit(), FFTW_BACKWARD, FFTW_FORWARD, FFTW_MEASURE, ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_halfpi_trapani_eighth_table(), ssht_dl_mod::ssht_dl_halfpi_trapani_fill_eighth2quarter_table(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_elm2ind(), and ssht_sampling_mod::ssht_sampling_weight_mw().
| subroutine ssht_core_mod::ssht_core_mw_forward_sov_direct | ( | complex(dpc),dimension(0:l**2-1),intent(out) | flm, | |
| complex(dpc),dimension(0:l-1 ,0:2*l-2),intent(in) | f, | |||
| integer,dimension(l-1),intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute forward transform for MW method using separation of variables but only discrete (not fast) Fourier transforms.
Notes:
Variables:
Definition at line 4794 of file ssht_core_mod.f90.
References digit(), ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_beta_operator(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_elm2ind(), ssht_sampling_mod::ssht_sampling_mw_p2phi(), ssht_sampling_mod::ssht_sampling_mw_t2theta(), and ssht_sampling_mod::ssht_sampling_weight_mw().
| subroutine ssht_core_mod::ssht_core_mw_forward_sp | ( | complex(dpc),dimension(0:l**2-1),intent(out) | flm, | |
| complex(dpc),dimension(0:l-2 ,0:2*l-2),intent(in) | f, | |||
| complex(dpc),intent(in) | f_sp, | |||
| real(dp),intent(in) | phi_sp, | |||
| integer,intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
South pole wrapper for forward transform using MW method.
Variables:
Definition at line 473 of file ssht_core_mod.f90.
References ssht_types_mod::I, and ssht_sampling_mod::ssht_sampling_mw_p2phi().
| subroutine ssht_core_mod::ssht_core_mw_inverse_real_sp | ( | real(dp),dimension(0:l-2, 0:2*l-2),intent(out) | f, | |
| real(dp),intent(out) | f_sp, | |||
| complex(dpc),dimension(0:l**2-1),intent(in) | flm, | |||
| integer,intent(in) | L, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
South pole wrapper for inverse transform of real scalar function using MW method.
Variables:
Definition at line 518 of file ssht_core_mod.f90.
| subroutine ssht_core_mod::ssht_core_mw_inverse_sov | ( | complex(dpc),dimension(0:l-1, 0:2*l-2),intent(out) | f, | |
| complex(dpc),dimension(0:l**2-1),intent(in) | flm, | |||
| integer,dimension(l-1),intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute inverse transform for MW method using separation of variables and fast Fourier transforms.
Variables:
Definition at line 2350 of file ssht_core_mod.f90.
References digit(), FFTW_BACKWARD, FFTW_ESTIMATE, ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_beta_operator(), ssht_types_mod::SSHT_PROMPT, and ssht_sampling_mod::ssht_sampling_elm2ind().
| subroutine ssht_core_mod::ssht_core_mw_inverse_sov_direct | ( | complex(dpc),dimension(0:l-1, 0:2*l-2),intent(out) | f, | |
| complex(dpc),dimension(0:l**2-1),intent(in) | flm, | |||
| integer,dimension(l-1),intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute inverse transform for MW method using separation of variables but only discrete (not fast) Fourier transforms.
Notes:
Variables:
Definition at line 2251 of file ssht_core_mod.f90.
References digit(), ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_beta_operator(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_elm2ind(), ssht_sampling_mod::ssht_sampling_mw_p2phi(), and ssht_sampling_mod::ssht_sampling_mw_t2theta().
| subroutine ssht_core_mod::ssht_core_mw_inverse_sov_sym | ( | complex(dpc),dimension(0:l-1, 0:2*l-2),intent(out) | f, | |
| complex(dpc),dimension(0:l**2-1),intent(in) | flm, | |||
| integer,dimension(l-1),intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute inverse transform for MW method using separation of variables, fast Fourier transforms and exploiting all symmetries (for complex spin signal).
Variables:
Definition at line 2453 of file ssht_core_mod.f90.
References ssht_types_mod::_dp, digit(), FFTW_BACKWARD, FFTW_ESTIMATE, ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_halfpi_trapani_eighth_table(), ssht_dl_mod::ssht_dl_halfpi_trapani_fill_eighth2righthalf_table(), ssht_types_mod::SSHT_PROMPT, and ssht_sampling_mod::ssht_sampling_elm2ind().
| subroutine ssht_core_mod::ssht_core_mw_inverse_sov_sym_real | ( | real(dp),dimension(0:l-1, 0:2*l-2),intent(out) | f, | |
| complex(dpc),dimension(0:l**2-1),intent(in) | flm, | |||
| integer,intent(in) | L, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute inverse transform for MW method of real scalar signal using separation of variables, fast Fourier transforms and exploiting all symmetries (including additional symmetries for real signals).
Variables:
Definition at line 2593 of file ssht_core_mod.f90.
References ssht_types_mod::_dp, digit(), FFTW_ESTIMATE, ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_halfpi_trapani_eighth_table(), ssht_dl_mod::ssht_dl_halfpi_trapani_fill_eighth2quarter_table(), ssht_types_mod::SSHT_PROMPT, and ssht_sampling_mod::ssht_sampling_elm2ind().
| subroutine ssht_core_mod::ssht_core_mw_inverse_sp | ( | complex(dpc),dimension(0:l-2, 0:2*l-2),intent(out) | f, | |
| complex(dpc),intent(out) | f_sp, | |||
| real(dp),intent(out) | phi_sp, | |||
| complex(dpc),dimension(0:l**2-1),intent(in) | flm, | |||
| integer,intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
South pole wrapper for inverse transform using MW method.
Variables:
Definition at line 430 of file ssht_core_mod.f90.
References ssht_sampling_mod::ssht_sampling_mw_p2phi().
| subroutine ssht_core_mod::ssht_core_mweo_forward_real_sp | ( | complex(dpc),dimension(0:l**2-1),intent(out) | flm, | |
| real(dp),dimension(0:l-2, 0:2*l-2),intent(in) | f, | |||
| real(dp),intent(in) | f_sp, | |||
| integer,intent(in) | L, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
South pole wrapper for forward transform of real scalar function using MWEO method.
Variables:
Definition at line 385 of file ssht_core_mod.f90.
| subroutine ssht_core_mod::ssht_core_mweo_forward_sov | ( | complex(dpc),dimension(0:l**2-1),intent(out) | flm, | |
| complex(dpc),dimension(0:l-1 ,0:2*l-2),intent(in) | f, | |||
| integer,dimension(l-1),intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute forward transform for MWEO method using separation of variables and fast Fourier transforms.
Variables:
Definition at line 3778 of file ssht_core_mod.f90.
References digit(), FFTW_ESTIMATE, FFTW_FORWARD, ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_beta_operator(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_elm2ind(), and ssht_sampling_mod::ssht_sampling_weight_mw().
| subroutine ssht_core_mod::ssht_core_mweo_forward_sov_conv | ( | complex(dpc),dimension(0:l**2-1),intent(out) | flm, | |
| complex(dpc),dimension(0:l-1 ,0:2*l-2),intent(in) | f, | |||
| integer,dimension(l-1),intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute forward transform for MWEO method using separation of variables, fast Fourier transforms and performing convolution with weights as product in transformed space.
Variables:
Definition at line 3944 of file ssht_core_mod.f90.
References digit(), FFTW_BACKWARD, FFTW_ESTIMATE, FFTW_FORWARD, FFTW_MEASURE, ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_beta_operator(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_elm2ind(), and ssht_sampling_mod::ssht_sampling_weight_mw().
| subroutine ssht_core_mod::ssht_core_mweo_forward_sov_conv_sym | ( | complex(dpc),dimension(0:l**2-1),intent(out) | flm, | |
| complex(dpc),dimension(0:l-1 ,0:2*l-2),intent(in) | f, | |||
| integer,dimension(l-1),intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute forward transform for MWEO method using separation of variables, fast Fourier transforms, performing convolution with weights as product in transformed space and exploiting all symmetries (for complex spin signal).
Variables:
Definition at line 4197 of file ssht_core_mod.f90.
References ssht_types_mod::_dp, digit(), FFTW_BACKWARD, FFTW_ESTIMATE, FFTW_FORWARD, FFTW_MEASURE, ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_halfpi_trapani_eighth_table(), ssht_dl_mod::ssht_dl_halfpi_trapani_fill_eighth2righthalf_table(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_elm2ind(), and ssht_sampling_mod::ssht_sampling_weight_mw().
| subroutine ssht_core_mod::ssht_core_mweo_forward_sov_conv_sym_real | ( | complex(dpc),dimension(0:l**2-1),intent(out) | flm, | |
| real(dp),dimension(0:l-1 ,0:2*l-2),intent(in) | f, | |||
| integer,intent(in) | L, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute forward transform for MWEO method of real scalar signal using separation of variables, fast Fourier transforms, performing convolution with weights as product in transformed space and exploiting all symmetries (including additional symmetries for real signals).
Variables:
Definition at line 4488 of file ssht_core_mod.f90.
References ssht_types_mod::_dp, digit(), FFTW_BACKWARD, FFTW_ESTIMATE, FFTW_FORWARD, FFTW_MEASURE, ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_halfpi_trapani_eighth_table(), ssht_dl_mod::ssht_dl_halfpi_trapani_fill_eighth2quarter_table(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_elm2ind(), and ssht_sampling_mod::ssht_sampling_weight_mw().
| subroutine ssht_core_mod::ssht_core_mweo_forward_sov_direct | ( | complex(dpc),dimension(0:l**2-1),intent(out) | flm, | |
| complex(dpc),dimension(0:l-1 ,0:2*l-2),intent(in) | f, | |||
| integer,dimension(l-1),intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute forward transform for MWEO method using separation of variables but only discrete (not fast) Fourier transforms.
Notes:
Variables:
Definition at line 3637 of file ssht_core_mod.f90.
References digit(), ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_beta_operator(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_elm2ind(), ssht_sampling_mod::ssht_sampling_mweo_p2phi(), ssht_sampling_mod::ssht_sampling_mweo_t2theta(), and ssht_sampling_mod::ssht_sampling_weight_mw().
| subroutine ssht_core_mod::ssht_core_mweo_forward_sp | ( | complex(dpc),dimension(0:l**2-1),intent(out) | flm, | |
| complex(dpc),dimension(0:l-2 ,0:2*l-2),intent(in) | f, | |||
| complex(dpc),intent(in) | f_sp, | |||
| real(dp),intent(in) | phi_sp, | |||
| integer,intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
South pole wrapper for forward transform using MWEO method.
Variables:
Definition at line 302 of file ssht_core_mod.f90.
References ssht_types_mod::I, and ssht_sampling_mod::ssht_sampling_mweo_p2phi().
| subroutine ssht_core_mod::ssht_core_mweo_inverse_direct | ( | complex(dpc),dimension(0:l-1, 0:2*l-2),intent(out) | f, | |
| complex(dpc),dimension(0:l**2-1),intent(in) | flm, | |||
| integer,dimension(l-1),intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute inverse transform for MWEO method using direct evaluation with dlmn evaluated for each theta.
Notes:
Variables:
Definition at line 1626 of file ssht_core_mod.f90.
References digit(), ssht_types_mod::I, ssht_types_mod::PI, ssht_dl_mod::ssht_dl_beta_operator(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_elm2ind(), ssht_sampling_mod::ssht_sampling_mweo_p2phi(), and ssht_sampling_mod::ssht_sampling_mweo_t2theta().
| subroutine ssht_core_mod::ssht_core_mweo_inverse_real_sp | ( | real(dp),dimension(0:l-2, 0:2*l-2),intent(out) | f, | |
| real(dp),intent(out) | f_sp, | |||
| complex(dpc),dimension(0:l**2-1),intent(in) | flm, | |||
| integer,intent(in) | L, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
South pole wrapper for inverse transform of real scalar function using MWEO method.
Variables:
Definition at line 347 of file ssht_core_mod.f90.
| subroutine ssht_core_mod::ssht_core_mweo_inverse_sov | ( | complex(dpc),dimension(0:l-1, 0:2*l-2),intent(out) | f, | |
| complex(dpc),dimension(0:l**2-1),intent(in) | flm, | |||
| integer,dimension(l-1),intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute inverse transform for MWEO method using separation of variables and fast Fourier transforms.
Variables:
Definition at line 1810 of file ssht_core_mod.f90.
References digit(), FFTW_BACKWARD, FFTW_ESTIMATE, ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_beta_operator(), ssht_types_mod::SSHT_PROMPT, and ssht_sampling_mod::ssht_sampling_elm2ind().
| subroutine ssht_core_mod::ssht_core_mweo_inverse_sov_direct | ( | complex(dpc),dimension(0:l-1, 0:2*l-2),intent(out) | f, | |
| complex(dpc),dimension(0:l**2-1),intent(in) | flm, | |||
| integer,dimension(l-1),intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute inverse transform for MWEO method using separation of variables but only discrete (not fast) Fourier transforms.
Notes:
Variables:
Definition at line 1711 of file ssht_core_mod.f90.
References digit(), ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_beta_operator(), ssht_types_mod::SSHT_PROMPT, ssht_sampling_mod::ssht_sampling_elm2ind(), ssht_sampling_mod::ssht_sampling_mweo_p2phi(), and ssht_sampling_mod::ssht_sampling_mweo_t2theta().
| subroutine ssht_core_mod::ssht_core_mweo_inverse_sov_sym | ( | complex(dpc),dimension(0:l-1, 0:2*l-2),intent(out) | f, | |
| complex(dpc),dimension(0:l**2-1),intent(in) | flm, | |||
| integer,dimension(l-1),intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute inverse transform for MWEO method using separation of variables, fast Fourier transforms and exploiting all symmetries (for complex spin signal).
Variables:
Definition at line 1934 of file ssht_core_mod.f90.
References ssht_types_mod::_dp, digit(), FFTW_BACKWARD, FFTW_ESTIMATE, ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_halfpi_trapani_eighth_table(), ssht_dl_mod::ssht_dl_halfpi_trapani_fill_eighth2righthalf_table(), ssht_types_mod::SSHT_PROMPT, and ssht_sampling_mod::ssht_sampling_elm2ind().
| subroutine ssht_core_mod::ssht_core_mweo_inverse_sov_sym_real | ( | real(dp),dimension(0:l-1, 0:2*l-2),intent(out) | f, | |
| complex(dpc),dimension(0:l**2-1),intent(in) | flm, | |||
| integer,intent(in) | L, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
Compute inverse transform for MWEO method of real scalar signal using separation of variables, fast Fourier transforms and exploiting all symmetries (including additional symmetries for real signals).
Variables:
Definition at line 2094 of file ssht_core_mod.f90.
References ssht_types_mod::_dp, digit(), FFTW_ESTIMATE, ssht_types_mod::I, ssht_types_mod::PI, ssht_types_mod::PION2, ssht_dl_mod::ssht_dl_halfpi_trapani_eighth_table(), ssht_dl_mod::ssht_dl_halfpi_trapani_fill_eighth2quarter_table(), ssht_types_mod::SSHT_PROMPT, and ssht_sampling_mod::ssht_sampling_elm2ind().
| subroutine ssht_core_mod::ssht_core_mweo_inverse_sp | ( | complex(dpc),dimension(0:l-2, 0:2*l-2),intent(out) | f, | |
| complex(dpc),intent(out) | f_sp, | |||
| real(dp),intent(out) | phi_sp, | |||
| complex(dpc),dimension(0:l**2-1),intent(in) | flm, | |||
| integer,intent(in) | L, | |||
| integer,intent(in) | spin, | |||
| integer,intent(in),optional | verbosity | |||
| ) | [private] |
South pole wrapper for inverse transform using MWEO method.
Variables:
Definition at line 259 of file ssht_core_mod.f90.
References ssht_sampling_mod::ssht_sampling_mweo_p2phi().
| integer,parameter ssht_core_mod::FFTW_BACKWARD = 1 |
Definition at line 212 of file ssht_core_mod.f90.
Referenced by ssht_core_dh_inverse_sov(), ssht_core_dh_inverse_sov_sym(), ssht_core_gl_inverse_sov_sym(), ssht_core_mw_forward_sov_conv(), ssht_core_mw_forward_sov_conv_sym(), ssht_core_mw_forward_sov_conv_sym_real(), ssht_core_mw_inverse_sov(), ssht_core_mw_inverse_sov_sym(), ssht_core_mweo_forward_sov_conv(), ssht_core_mweo_forward_sov_conv_sym(), ssht_core_mweo_forward_sov_conv_sym_real(), ssht_core_mweo_inverse_sov(), and ssht_core_mweo_inverse_sov_sym().
| integer,parameter ssht_core_mod::FFTW_ESTIMATE = 64 |
Definition at line 211 of file ssht_core_mod.f90.
Referenced by ssht_core_mw_inverse_sov(), ssht_core_mw_inverse_sov_sym(), ssht_core_mw_inverse_sov_sym_real(), ssht_core_mweo_forward_sov(), ssht_core_mweo_forward_sov_conv(), ssht_core_mweo_forward_sov_conv_sym(), ssht_core_mweo_forward_sov_conv_sym_real(), ssht_core_mweo_inverse_sov(), ssht_core_mweo_inverse_sov_sym(), and ssht_core_mweo_inverse_sov_sym_real().
| integer,parameter ssht_core_mod::FFTW_FORWARD = -1 |
Definition at line 212 of file ssht_core_mod.f90.
Referenced by ssht_core_dh_forward_sov(), ssht_core_dh_forward_sov_sym(), ssht_core_gl_forward_sov_sym(), ssht_core_mw_forward_sov(), ssht_core_mw_forward_sov_conv(), ssht_core_mw_forward_sov_conv_sym(), ssht_core_mw_forward_sov_conv_sym_real(), ssht_core_mweo_forward_sov(), ssht_core_mweo_forward_sov_conv(), ssht_core_mweo_forward_sov_conv_sym(), and ssht_core_mweo_forward_sov_conv_sym_real().
| integer,parameter ssht_core_mod::FFTW_MEASURE = 0 |
Definition at line 211 of file ssht_core_mod.f90.
Referenced by ssht_core_dh_forward_sov(), ssht_core_dh_forward_sov_sym(), ssht_core_dh_forward_sov_sym_real(), ssht_core_dh_inverse_sov(), ssht_core_dh_inverse_sov_sym(), ssht_core_dh_inverse_sov_sym_real(), ssht_core_gl_forward_sov_sym(), ssht_core_gl_forward_sov_sym_real(), ssht_core_gl_inverse_sov_sym(), ssht_core_gl_inverse_sov_sym_real(), ssht_core_mw_forward_sov(), ssht_core_mw_forward_sov_conv(), ssht_core_mw_forward_sov_conv_sym(), ssht_core_mw_forward_sov_conv_sym_real(), ssht_core_mweo_forward_sov_conv(), ssht_core_mweo_forward_sov_conv_sym(), and ssht_core_mweo_forward_sov_conv_sym_real().
1.6.3