Package: sfcurve 1.0.1

Zuguang Gu

sfcurve: 2x2, 3x3 and Nxn Space-Filling Curves

Implementation of all possible forms of 2x2 and 3x3 space-filling curves, i.e., the generalized forms of the Hilbert curve <https://en.wikipedia.org/wiki/Hilbert_curve>, the Peano curve <https://en.wikipedia.org/wiki/Peano_curve> and the Peano curve in the meander type (Figure 5 in <https://eudml.org/doc/141086>). It can generates nxn curves expanded from any specific level-1 units. It also implements the H-curve and the three-dimensional Hilbert curve.

Authors:Zuguang Gu [aut, cre]

sfcurve_1.0.1.tar.gz
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sfcurve.pdf |sfcurve.html✨
sfcurve/json (API)
NEWS

# Install 'sfcurve' in R:

install.packages('sfcurve', repos = c('https://jokergoo.r-universe.dev', 'https://cloud.r-project.org'))

Bug tracker:https://github.com/jokergoo/sfcurve/issues

Uses libs:

c++– GNU Standard C++ Library v3

On CRAN:

4.66 score 1 stars 13 scripts 133 downloads 81 exports 3 dependencies

Last updated 2 months agofrom:18cae425ea. Checks:OK: 9. Indexed: yes.

Target	Result	Date
Doc / Vignettes	OK	Nov 16 2024
R-4.5-win-x86_64	OK	Nov 16 2024
R-4.5-linux-x86_64	OK	Nov 16 2024
R-4.4-win-x86_64	OK	Nov 16 2024
R-4.4-mac-x86_64	OK	Nov 16 2024
R-4.4-mac-aarch64	OK	Nov 16 2024
R-4.3-win-x86_64	OK	Nov 16 2024
R-4.3-mac-x86_64	OK	Nov 16 2024
R-4.3-mac-aarch64	OK	Nov 16 2024

Exports:add_base_structure all_2x2_shapes all_3x3_meander_shapes all_3x3_peano_shapes all_traverse_paths BASE_B BASE_C BASE_D BASE_I BASE_J BASE_L BASE_LIST BASE_P BASE_Q BASE_R BASE_U beta_omega_curve change_level1_unit_orientation draw_multiple_curves draw_rules_2x2 draw_rules_3x3_combined draw_rules_3x3_meander draw_rules_3x3_peano draw_rules_4x4_meander expand_h get_one_traverse_path h_curve H0 H1 H2 hilbert_3d hilbert_curve level1_unit_orientation mark_local_units meander_curve moore_curve peano_curve plot_segments plot_traverse_paths sfc_2x2 sfc_3x3_combined sfc_3x3_meander sfc_3x3_peano sfc_4x4_meander sfc_apply sfc_base sfc_dflip sfc_expand sfc_expand_by_rules sfc_flip_unit sfc_generator sfc_grob sfc_h sfc_hflip sfc_index sfc_is_compatible sfc_level sfc_mode sfc_next_point sfc_previous_point sfc_reduce sfc_reverse sfc_rotate sfc_rules SFC_RULES_2x2 SFC_RULES_3x3_COMBINED SFC_RULES_3x3_MEANDER SFC_RULES_3x3_PEANO SFC_RULES_4x4_MEANDER_1 SFC_RULES_4x4_MEANDER_2 sfc_seed sfc_segments sfc_sequence sfc_shape sfc_unit sfc_universe sfc_validate sfc_vflip show test_sfc_index unit_orientation

Dependencies:colorRamp2 colorspace Rcpp

The sfcurve package

Zuguang Gu ([email protected])

Rendered fromsfcurve.Rmdusingknitr::rmarkdownon Nov 16 2024.

Last update: 2024-08-02
Started: 2024-07-18

Citation

Development and contributors

Readme and manuals

Help Manual

Help page	Topics
Subunit in the curve	sfc_index sfc_index,sfc_nxn-method test_sfc_index [.sfc_nxn
Utility functions	c.sfc_sequence length.sfc_sequence [.sfc_sequence [<-.sfc_sequence
All traverse paths of a sequence	all_traverse_paths get_one_traverse_path plot_traverse_paths
Base patterns	BASE_B BASE_C BASE_D BASE_I BASE_J BASE_L BASE_LIST BASE_P BASE_Q BASE_R BASE_U
Draw multiple curves	draw_multiple_curves
Draw the expansion rules	draw_rules_2x2 draw_rules_3x3_meander draw_rules_3x3_peano
Seed sequences of the H-curve	H0 H1 H2
Three dimensional Hilbert curve	hilbert_3d
Various curves in their standard forms	beta_omega_curve hilbert_curve h_curve meander_curve moore_curve peano_curve
Level-1 unit in the Peano curve and Meander curve	change_level1_unit_orientation change_level1_unit_orientation,sfc_3x3_meander-method change_level1_unit_orientation,sfc_3x3_peano-method level1_unit_orientation level1_unit_orientation,sfc_3x3_meander-method level1_unit_orientation,sfc_3x3_peano-method
Plot segments	plot_segments
Create space-filling curves	sfc_2x2 sfc_3x3_meander sfc_3x3_peano
General 3x3 space-filling curves	draw_rules_3x3_combined sfc_3x3_combined sfc_expand,sfc_3x3_combined-method
4x4 space-filling curves in meander type	draw_rules_4x4_meander sfc_4x4_meander sfc_expand,sfc_4x4_meander-method
Apply to every unit in the sfc_nxn curve	sfc_apply sfc_apply,sfc_nxn-method
Constructor of the sfc_base class	sfc_base
Expand a sequence	sfc_expand_by_rules sfc_expand_by_rules,sfc_rules,character-method sfc_expand_by_rules,sfc_rules,factor-method sfc_expand_by_rules,sfc_rules,sfc_nxn-method
Expand the curve to the next level	sfc_expand sfc_expand,sfc_2x2-method sfc_expand,sfc_3x3_meander-method sfc_expand,sfc_3x3_peano-method \|.sfc_nxn
Generate a nxn curve based on expansion rules	sfc_generator
The graphics object	plot.grob_sfc_sequence plot.sfc_nxn plot.sfc_sequence sfc_grob sfc_grob,matrix-method sfc_grob,sfc_base-method sfc_grob,sfc_nxn-method sfc_grob,sfc_sequence-method
H-curve	expand_h sfc_h
Whether two sfc_sequence objects are compatible	sfc_is_compatible sfc_is_compatible,sfc_rules,sfc_sequence-method sfc_is_compatible,sfc_sequence,sfc_rules-method sfc_is_compatible,sfc_sequence,sfc_sequence-method
The level of the curve	sfc_level sfc_level,sfc_nxn-method
The mode of the curve	sfc_mode sfc_mode,sfc_nxn-method sfc_mode,sfc_rules-method
The previous and the next point	sfc_next_point sfc_next_point,sfc_base-method sfc_previous_point sfc_previous_point,sfc_base-method
Reduce a curve	add_base_structure mark_local_units sfc_reduce sfc_reduce,matrix-method sfc_reduce,sfc_nxn-method
Transformations of a sequence	rev.sfc_sequence sfc_dflip sfc_dflip,sfc_sequence-method sfc_hflip sfc_hflip,sfc_sequence-method sfc_reverse sfc_reverse,sfc_sequence-method sfc_rotate sfc_rotate,sfc_sequence-method sfc_vflip sfc_vflip,sfc_sequence-method ^.sfc_sequence
Constructor of the sfc_rules class	sfc_rules
Rules	SFC_RULES_2x2 SFC_RULES_3x3_COMBINED SFC_RULES_3x3_MEANDER SFC_RULES_3x3_PEANO SFC_RULES_4x4_MEANDER_1 SFC_RULES_4x4_MEANDER_2
Coordinates of the points on the curve	sfc_segments sfc_segments,sfc_nxn-method sfc_segments,sfc_sequence-method
Constructor of the sfc_sequence class	sfc_seed sfc_sequence sfc_unit
Shape of the curve	all_2x2_shapes all_3x3_meander_shapes all_3x3_peano_shapes sfc_shape sfc_shape,sfc_2x2-method sfc_shape,sfc_3x3_meander-method sfc_shape,sfc_3x3_peano-method
The universe base pattern set	sfc_universe sfc_universe,sfc_rules-method sfc_universe,sfc_sequence-method
Validate the sequence	sfc_validate sfc_validate,character-method sfc_validate,sfc_sequence-method
Print the object	show,sfc_base-method show,sfc_nxn-method show,sfc_rules-method show,sfc_sequence-method
Flip units	sfc_flip_unit sfc_flip_unit,sfc_nxn-method sfc_flip_unit,sfc_unit-method unit_orientation