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Render fails with specific lon_0 value in st_transform (fails lon_0=27.0, works lon_0=27.1) #2477

Description

@misea

Plotting fails when drawing globe at very specific rotation.

To Reproduce

library(rnaturalearth)
library(sf)
#> Linking to GEOS 3.11.0, GDAL 3.5.3, PROJ 9.1.0; sf_use_s2() is TRUE

world <- ne_countries(scale = "medium", returnclass = "sf") |> st_as_sfc()


p1 <- world |> 
  st_transform(crs = st_crs("+proj=ortho +lat_0=0 +lon_0=26.9")) |>
  plot()

p2 <- world |> 
  st_transform(crs = st_crs("+proj=ortho +lat_0=0 +lon_0=27.0")) |>
  plot()

#> Error in polypath(p_bind(L), border = border[i], lty = lty[i], lwd = lwd[i], : Invalid graphics path

Created on 2024-11-11 with reprex v2.1.1

Additional context
First saw and reported as occurring via coord_sf tidyverse/ggplot2#6180 , but problem is lower down the call chain

Details R version 4.4.2 (2024-10-31) Platform: aarch64-apple-darwin20 Running under: macOS Sequoia 15.1

Matrix products: default
BLAS: /System/Library/Frameworks/Accelerate.framework/Versions/A/Frameworks/vecLib.framework/Versions/A/libBLAS.dylib
LAPACK: /Library/Frameworks/R.framework/Versions/4.4-arm64/Resources/lib/libRlapack.dylib; LAPACK version 3.12.0

locale:
[1] en_US.UTF-8/en_US.UTF-8/en_US.UTF-8/C/en_US.UTF-8/en_US.UTF-8

time zone: America/Los_Angeles
tzcode source: internal

attached base packages:
[1] stats graphics grDevices utils datasets methods base

other attached packages:
[1] sf_1.0-18 rnaturalearth_1.0.1

loaded via a namespace (and not attached):
[1] jsonlite_1.8.9 highr_0.11 compiler_4.4.2 reprex_2.1.1 Rcpp_1.0.13-1 clipr_0.8.0 callr_3.7.6 yaml_2.3.10
[9] fastmap_1.2.0 R6_2.5.1 classInt_0.4-10 knitr_1.48 tibble_3.2.1 units_0.8-5 DBI_1.2.3 pillar_1.9.0
[17] rlang_1.1.4 utf8_1.2.4 terra_1.7-78 xfun_0.49 fs_1.6.5 cli_3.6.3 withr_3.0.2 magrittr_2.0.3
[25] ps_1.8.1 class_7.3-22 digest_0.6.37 grid_4.4.2 processx_3.8.4 rstudioapi_0.17.1 lifecycle_1.0.4 vctrs_0.6.5
[33] KernSmooth_2.23-24 data.table_1.16.2 proxy_0.4-27 evaluate_1.0.1 glue_1.8.0 codetools_0.2-20 rnaturalearthdata_1.0.0 fansi_1.0.6
[41] e1071_1.7-16 rmarkdown_2.29 httr_1.4.7 tools_4.4.2 pkgconfig_2.0.3 htmltools_0.5.8.1

sf_extSoftVersion()
GEOS GDAL proj.4 GDAL_with_GEOS USE_PROJ_H PROJ
"3.11.0" "3.5.3" "9.1.0" "true" "true" "9.1.0"

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