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use super ::{
diffusion , downhill , neighbors , uniform_idx_as_vec2 , uphill , vec2_as_uniform_idx ,
NEIGHBOR_DELTA , WORLD_SIZE ,
} ;
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use crate ::{ config ::CONFIG , util ::RandomField } ;
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use arr_macro ::arr ;
use bitvec ::prelude ::{ bitbox , bitvec , BitBox } ;
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use common ::{ terrain ::TerrainChunkSize , vol ::RectVolSize } ;
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use faster ::* ;
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use noise ::{ NoiseFn , Point3 } ;
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use num ::{ Float , FromPrimitive , One , Zero } ;
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use ordered_float ::NotNan ;
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use packed_simd ::{ /* f32x8, f64x8, */ m32 , m64 } ;
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use rayon ::prelude ::* ;
use std ::{
cmp ::{ Ordering , Reverse } ,
collections ::BinaryHeap ,
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f32 , f64 , fmt , mem ,
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path ::PathBuf ,
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time ::Instant ,
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u32 ,
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} ;
use vek ::* ;
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pub type Alt = f64 ;
// pub type Altx8 = /*f64x8*/f32x8;
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pub type Compute = f64 ;
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pub type Computex8 = [ Compute ; 8 ] ;
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/// Compute the water flux at all chunks, given a list of chunk indices sorted by increasing
/// height.
pub fn get_drainage ( newh : & [ u32 ] , downhill : & [ isize ] , _boundary_len : usize ) -> Box < [ f32 ] > {
// FIXME: Make the below work. For now, we just use constant flux.
// Initially, flux is determined by rainfall. We currently treat this as the same as humidity,
// so we just use humidity as a proxy. The total flux across the whole map is normalize to
// 1.0, and we expect the average flux to be 0.5. To figure out how far from normal any given
// chunk is, we use its logit.
// NOTE: If there are no non-boundary chunks, we just set base_flux to 1.0; this should still
// work fine because in that case there's no erosion anyway.
// let base_flux = 1.0 / ((WORLD_SIZE.x * WORLD_SIZE.y) as f32);
let base_flux = 1.0 ;
let mut flux = vec! [ base_flux ; WORLD_SIZE . x * WORLD_SIZE . y ] . into_boxed_slice ( ) ;
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newh . into_iter ( ) . rev ( ) . for_each ( | & chunk_idx | {
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let chunk_idx = chunk_idx as usize ;
let downhill_idx = downhill [ chunk_idx ] ;
if downhill_idx > = 0 {
flux [ downhill_idx as usize ] + = flux [ chunk_idx ] ;
}
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} ) ;
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flux
}
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/// Compute the water flux at all chunks for multiple receivers, given a list of chunk indices
/// sorted by increasing height and weights for each receiver.
pub fn get_multi_drainage (
mstack : & [ u32 ] ,
mrec : & [ u8 ] ,
mwrec : & [ Computex8 ] ,
_boundary_len : usize ,
) -> Box < [ Compute ] > {
// FIXME: Make the below work. For now, we just use constant flux.
// Initially, flux is determined by rainfall. We currently treat this as the same as humidity,
// so we just use humidity as a proxy. The total flux across the whole map is normalize to
// 1.0, and we expect the average flux to be 0.5. To figure out how far from normal any given
// chunk is, we use its logit.
// NOTE: If there are no non-boundary chunks, we just set base_flux to 1.0; this should still
// work fine because in that case there's no erosion anyway.
// let base_flux = 1.0 / ((WORLD_SIZE.x * WORLD_SIZE.y) as f32);
let base_area = 1.0 ;
let mut area = vec! [ base_area ; WORLD_SIZE . x * WORLD_SIZE . y ] . into_boxed_slice ( ) ;
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mstack . into_iter ( ) . for_each ( | & ij | {
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let ij = ij as usize ;
let wrec_ij = & mwrec [ ij ] ;
let area_ij = area [ ij ] ;
// debug_assert!(area_ij >= 0.0);
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mrec_downhill ( mrec , ij ) . for_each ( | ( k , ijr ) | {
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/* if area_ij != 1.0 {
println! ( " ij= {:?} wrec_ij= {:?} k= {:?} ijr= {:?} area_ij= {:?} wrec_ij= {:?} " , ij , wrec_ij , k , ijr , area_ij , wrec_ij [ k ] ) ;
} * /
area [ ijr ] + = area_ij * /* wrec_ij.extract(k); */ wrec_ij [ k ] ;
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} ) ;
} ) ;
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area
/*
a = dx * dy * precip
do ij = 1 , nn
ijk = mstack ( ij )
do k = 1 , mnrec ( ijk )
a ( mrec ( k , ijk ) ) = a ( mrec ( k , ijk ) ) + a ( ijk ) * mwrec ( k , ijk )
enddo
enddo
* /
}
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/// Kind of water on this tile.
#[ derive(Clone, Copy, Debug, PartialEq) ]
pub enum RiverKind {
Ocean ,
Lake {
/// In addition to a downhill node (pointing to, eventually, the bottom of the lake), each
/// lake also has a "pass" that identifies the direction out of which water should flow
/// from this lake if it is minimally flooded. While some lakes may be too full for this
/// to be the actual pass used by their enclosing lake, we still use this as a way to make
/// sure that lake connections to rivers flow in the correct direction.
neighbor_pass_pos : Vec2 < i32 > ,
} ,
/// River should be maximal.
River {
/// Dimensions of the river's cross-sectional area, as m × m (rivers are approximated
/// as an open rectangular prism in the direction of the velocity vector).
cross_section : Vec2 < f32 > ,
} ,
}
impl RiverKind {
pub fn is_river ( & self ) -> bool {
if let RiverKind ::River { .. } = * self {
true
} else {
false
}
}
pub fn is_lake ( & self ) -> bool {
if let RiverKind ::Lake { .. } = * self {
true
} else {
false
}
}
}
impl PartialOrd for RiverKind {
fn partial_cmp ( & self , other : & Self ) -> Option < Ordering > {
match ( * self , * other ) {
( RiverKind ::Ocean , RiverKind ::Ocean ) = > Some ( Ordering ::Equal ) ,
( RiverKind ::Ocean , _ ) = > Some ( Ordering ::Less ) ,
( _ , RiverKind ::Ocean ) = > Some ( Ordering ::Greater ) ,
( RiverKind ::Lake { .. } , RiverKind ::Lake { .. } ) = > None ,
( RiverKind ::Lake { .. } , _ ) = > Some ( Ordering ::Less ) ,
( _ , RiverKind ::Lake { .. } ) = > Some ( Ordering ::Greater ) ,
( RiverKind ::River { .. } , RiverKind ::River { .. } ) = > None ,
}
}
}
/// From velocity and cross_section we can calculate the volumetric flow rate, as the
/// cross-sectional area times the velocity.
///
/// TODO: we might choose to include a curve for the river, as long as it didn't allow it to
/// cross more than one neighboring chunk away. For now we defer this to rendering time.
///
/// NOTE: This structure is 57 (or more likely 64) bytes, which is kind of big.
#[ derive(Clone, Debug, Default) ]
pub struct RiverData {
/// A velocity vector (in m / minute, i.e. voxels / second from a game perspective).
///
/// TODO: To represent this in a better-packed way, use u8s instead (as "f8s").
pub ( crate ) velocity : Vec3 < f32 > ,
/// The computed derivative for the segment of river starting at this chunk (and flowing
/// downhill). Should be 0 at endpoints. For rivers with more than one incoming segment, we
/// weight the derivatives by flux (cross-sectional area times velocity) which is correlated
/// with mass / second; treating the derivative as "velocity" with respect to length along the
/// river, we treat the weighted sum of incoming splines as the "momentum", and can divide it
/// by the total incoming mass as a way to find the velocity of the center of mass. We can
/// then use this derivative to find a "tangent" for the incoming river segment at this point,
/// and as the linear part of the interpolating spline at this point.
///
/// Note that we aren't going to have completely smooth curves here anyway, so we will probably
/// end up applying a dampening factor as well (maybe based on the length?) to prevent
/// extremely wild oscillations.
pub ( crate ) spline_derivative : Vec2 < f32 > ,
/// If this chunk is part of a river, this should be true. We can't just compute this from the
/// cross section because once a river becomes visible, we want it to stay visible until it
/// reaches its sink.
pub river_kind : Option < RiverKind > ,
/// We also have a second record for recording any rivers in nearby chunks that manage to
/// intersect this chunk, though this is unlikely to happen in current gameplay. This is
/// because river areas are allowed to cross arbitrarily many chunk boundaries, if they are
/// wide enough. In such cases we may choose to render the rivers as particularly deep in
/// those places.
pub ( crate ) neighbor_rivers : Vec < u32 > ,
}
impl RiverData {
pub fn is_river ( & self ) -> bool {
self . river_kind
. as_ref ( )
. map ( RiverKind ::is_river )
. unwrap_or ( false )
}
pub fn is_lake ( & self ) -> bool {
self . river_kind
. as_ref ( )
. map ( RiverKind ::is_lake )
. unwrap_or ( false )
}
}
/// Draw rivers and assign them heights, widths, and velocities. Take some liberties with the
/// constant factors etc. in order to make it more likely that we draw rivers at all.
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pub fn get_rivers < F : fmt ::Debug + Float + Into < f64 > , G : Float + Into < f64 > > (
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newh : & [ u32 ] ,
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water_alt : & [ F ] ,
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downhill : & [ isize ] ,
indirection : & [ i32 ] ,
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drainage : & [ G ] ,
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) -> Box < [ RiverData ] > {
// For continuity-preserving quadratic spline interpolation, we (appear to) need to build
// up the derivatives from the top down. Fortunately this computation seems tractable.
let mut rivers = vec! [ RiverData ::default ( ) ; WORLD_SIZE . x * WORLD_SIZE . y ] . into_boxed_slice ( ) ;
let neighbor_coef = TerrainChunkSize ::RECT_SIZE . map ( | e | e as f64 ) ;
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// (Roughly) area of a chunk, times minutes per second.
let mins_per_sec = /* 64.0 */ 1.0 ; //1.0 / 64.0;
let chunk_area_factor = neighbor_coef . x * neighbor_coef . y / mins_per_sec ;
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// NOTE: This technically makes us discontinuous, so we should be cautious about using this.
let derivative_divisor = 1.0 ;
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let height_scale = 1.0 ; // 1.0 / CONFIG.mountain_scale as f64;
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newh . into_iter ( ) . rev ( ) . for_each ( | & chunk_idx | {
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let chunk_idx = chunk_idx as usize ;
let downhill_idx = downhill [ chunk_idx ] ;
if downhill_idx < 0 {
// We are in the ocean.
debug_assert! ( downhill_idx = = - 2 ) ;
rivers [ chunk_idx ] . river_kind = Some ( RiverKind ::Ocean ) ;
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return ;
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}
let downhill_idx = downhill_idx as usize ;
let downhill_pos = uniform_idx_as_vec2 ( downhill_idx ) ;
let dxy = ( downhill_pos - uniform_idx_as_vec2 ( chunk_idx ) ) . map ( | e | e as f64 ) ;
let neighbor_dim = neighbor_coef * dxy ;
// First, we calculate the river's volumetric flow rate.
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let chunk_drainage = drainage [ chunk_idx ] . into ( ) ;
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// Volumetric flow rate is just the total drainage area to this chunk, times rainfall
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// height per chunk per minute, times minutes per second
// (needed in order to use this as a m³ volume).
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// TODO: consider having different rainfall rates (and including this information in the
// computation of drainage).
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let volumetric_flow_rate =
chunk_drainage * chunk_area_factor * CONFIG . rainfall_chunk_rate as f64 ;
let downhill_drainage = drainage [ downhill_idx ] . into ( ) ;
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// We know the drainage to the downhill node is just chunk_drainage - 1.0 (the amount of
// rainfall this chunk is said to get), so we don't need to explicitly remember the
// incoming mass. How do we find a slope for endpoints where there is no incoming data?
// Currently, we just assume it's set to 0.0.
// TODO: Fix this when we add differing amounts of rainfall.
let incoming_drainage = downhill_drainage - 1.0 ;
let get_river_spline_derivative =
| neighbor_dim : Vec2 < f64 > , spline_derivative : Vec2 < f32 > | {
/* if incoming_drainage == 0.0 {
Vec2 ::zero ( )
} else * /
{
// "Velocity of center of mass" of splines of incoming flows.
let river_prev_slope = spline_derivative . map ( | e | e as f64 ) /* / incoming_drainage */ ;
// NOTE: We need to make sure the slope doesn't get *too* crazy.
// ((dpx - cx) - 4 * MAX).abs() = bx
// NOTE: This will fail if the distance between chunks in any direction
// is exactly TerrainChunkSize::RECT * 4.0, but hopefully this should not be possible.
// NOTE: This isn't measuring actual distance, you can go farther on diagonals.
// let max_deriv = neighbor_dim - neighbor_coef * 4.0;
let max_deriv = neighbor_dim - neighbor_coef * 2.0 * 2. 0. sqrt ( ) ;
let extra_divisor = river_prev_slope
. map2 ( max_deriv , | e , f | ( e / f ) . abs ( ) )
. reduce_partial_max ( ) ;
// Set up the river's spline derivative. For each incoming river at pos with
// river_spline_derivative bx, we can compute our interpolated slope as:
// d_x = 2 * (chunk_pos - pos - bx) + bx
// = 2 * (chunk_pos - pos) - bx
//
// which is exactly twice what was weighted by uphill nodes to get our
// river_spline_derivative in the first place.
//
// NOTE: this probably implies that the distance shouldn't be normalized, since the
// distances aren't actually equal between x and y... we'll see what happens.
( if extra_divisor > 1.0 {
river_prev_slope / extra_divisor
} else {
river_prev_slope
} )
. map ( | e | e as f32 )
}
} ;
let river = & rivers [ chunk_idx ] ;
let river_spline_derivative =
get_river_spline_derivative ( neighbor_dim , river . spline_derivative ) ;
let indirection_idx = indirection [ chunk_idx ] ;
// Find the lake we are flowing into.
let lake_idx = if indirection_idx < 0 {
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// If we're a lake bottom, our own indirection is negative.
/* let mut lake = &mut rivers[chunk_idx];
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let neighbor_pass_idx = downhill_idx ;
// Mass flow from this lake is treated as a weighting factor (this is currently
// considered proportional to drainage, but in the direction of "lake side of pass to
// pass.").
let neighbor_pass_pos = downhill_pos ;
lake . river_kind = Some ( RiverKind ::Lake {
neighbor_pass_pos : neighbor_pass_pos
* TerrainChunkSize ::RECT_SIZE . map ( | e | e as i32 ) ,
} ) ;
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lake . spline_derivative = Vec2 ::zero ( ) /* river_spline_derivative */ ; * /
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let pass_idx = ( - indirection_idx ) as usize ;
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/* let pass_pos = uniform_idx_as_vec2(pass_idx);
let lake_direction = neighbor_coef * ( neighbor_pass_pos - pass_pos ) . map ( | e | e as f64 ) ; * /
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let pass = & rivers [ pass_idx ] ;
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/* / / Our side of the pass must have already been traversed (even if our side of the pass
// is the lake bottom), so we acquire its computed river_spline_derivative.
debug_assert! ( pass . is_lake ( ) ) ; * /
// NOTE: Must exist since this lake had a downhill in the first place.
let neighbor_pass_idx = downhill [ pass_idx ] as usize /* downhill_idx */ ;
/* let pass_spline_derivative = pass.spline_derivative.map(|e| e as f64) /* Vec2::zero() */ ;
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// Normally we want to not normalize, but for the lake we don't want to generate a
// super long edge since it could lead to a lot of oscillation... this is another
// reason why we shouldn't use the lake bottom.
// lake_direction.normalize();
// We want to assign the drained node from any lake to be a river.
let lake_drainage = /* drainage[chunk_idx] */ chunk_drainage ;
let lake_neighbor_pass_incoming_drainage = incoming_drainage ;
let weighted_flow = ( lake_direction * 2.0 - pass_spline_derivative )
/ derivative_divisor
* lake_drainage
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/ lake_neighbor_pass_incoming_drainage ; * /
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let mut lake_neighbor_pass = & mut rivers [ neighbor_pass_idx ] ;
// We definitely shouldn't have encountered this yet!
debug_assert! ( lake_neighbor_pass . velocity = = Vec3 ::zero ( ) ) ;
// TODO: Rethink making the lake neighbor pass always a river or lake, no matter how
// much incoming water there is? Sometimes it looks weird having a river emerge from a
// tiny pool.
lake_neighbor_pass . river_kind = Some ( RiverKind ::River {
cross_section : Vec2 ::default ( ) ,
} ) ;
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/* / / We also want to add to the out-flow side of the pass a (flux-weighted)
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// derivative coming from the lake center.
//
// NOTE: Maybe consider utilizing 3D component of spline somehow? Currently this is
// basically a flat vector, but that might be okay from lake to other side of pass.
lake_neighbor_pass . spline_derivative + = /* Vec2::new(weighted_flow.x, weighted_flow.y) */
weighted_flow . map ( | e | e as f32 ) ;
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continue ; * /
chunk_idx
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} else {
indirection_idx as usize
} ;
// Find the pass this lake is flowing into (i.e. water at the lake bottom gets
// pushed towards the point identified by pass_idx).
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let pass_idx = if downhill [ lake_idx ] < 0 {
// Flows into nothing, so this lake is its own pass.
lake_idx
} else {
( - indirection [ lake_idx ] ) as usize
} ;
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// Add our spline derivative to the downhill river (weighted by the chunk's drainage).
// NOTE: Don't add the spline derivative to the lake side of the pass for our own lake,
// because we don't want to preserve weird curvature from before we hit the lake in the
// outflowing river (this will not apply to one-chunk lakes, which are their own pass).
if pass_idx ! = downhill_idx {
// TODO: consider utilizing height difference component of flux as well; currently we
// just discard it in figuring out the spline's slope.
let downhill_river = & mut rivers [ downhill_idx ] ;
let weighted_flow = ( neighbor_dim * 2.0 - river_spline_derivative . map ( | e | e as f64 ) )
/ derivative_divisor
* chunk_drainage
/ incoming_drainage ;
downhill_river . spline_derivative + = weighted_flow . map ( | e | e as f32 ) ;
}
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let neighbor_pass_idx = downhill [ pass_idx /* lake_idx */ ] ;
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// Find our own water height.
let chunk_water_alt = water_alt [ chunk_idx ] ;
if neighbor_pass_idx > = 0 {
// We may be a river. But we're not sure yet, since we still could be
// underwater. Check the lake height and see if our own water height is within ε of
// it.
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// let pass_idx = (-indirection[lake_idx]) as usize;
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let lake_water_alt = water_alt [ lake_idx ] ;
if chunk_water_alt = = lake_water_alt {
// Not a river.
// Check whether we we are the lake side of the pass.
// NOTE: Safe because this is a lake.
let ( neighbor_pass_pos , river_spline_derivative ) = if pass_idx = = chunk_idx
/* true */
{
// This is a pass, so set our flow direction to point to the neighbor pass
// rather than downhill.
// NOTE: Safe because neighbor_pass_idx >= 0.
(
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uniform_idx_as_vec2 ( downhill_idx ) ,
// uniform_idx_as_vec2(neighbor_pass_idx as usize),
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river_spline_derivative ,
)
} else {
// Try pointing towards the lake side of the pass.
( uniform_idx_as_vec2 ( pass_idx ) , river_spline_derivative )
} ;
let mut lake = & mut rivers [ chunk_idx ] ;
lake . spline_derivative = river_spline_derivative ;
lake . river_kind = Some ( RiverKind ::Lake {
neighbor_pass_pos : neighbor_pass_pos
* TerrainChunkSize ::RECT_SIZE . map ( | e | e as i32 ) ,
} ) ;
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return ;
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}
// Otherwise, we must be a river.
} else {
// We are flowing into the ocean.
debug_assert! ( neighbor_pass_idx = = - 2 ) ;
// But we are not the ocean, so we must be a river.
}
// Now, we know we are a river *candidate*. We still don't know whether we are actually a
// river, though. There are two ways for that to happen:
// (i) We are already a river.
// (ii) Using the Gauckler– Manning– Strickler formula for cross-sectional average velocity
// of water, we establish that the river can be "big enough" to appear on the Veloren
// map.
//
// This is very imprecise, of course, and (ii) may (and almost certainly will) change over
// time.
//
// In both cases, we preemptively set our child to be a river, to make sure we have an
// unbroken stream. Also in both cases, we go to the effort of computing an effective
// water velocity vector and cross-sectional dimensions, as well as figuring out the
// derivative of our interpolating spline (since this percolates through the whole river
// network).
let downhill_water_alt = water_alt [ downhill_idx ] ;
let neighbor_distance = neighbor_dim . magnitude ( ) ;
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let dz = ( downhill_water_alt - chunk_water_alt ) . into ( ) /* / height_scale as f32 */ ; // * CONFIG.mountain_scale;
let slope = dz . abs ( ) / neighbor_distance ;
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if slope = = 0.0 {
// This is not a river--how did this even happen?
let pass_idx = ( - indirection_idx ) as usize ;
log ::error! ( " Our chunk (and downhill, lake, pass, neighbor_pass): {:?} (to {:?}, in {:?} via {:?} to {:?}), chunk water alt: {:?}, lake water alt: {:?} " ,
uniform_idx_as_vec2 ( chunk_idx ) ,
uniform_idx_as_vec2 ( downhill_idx ) ,
uniform_idx_as_vec2 ( lake_idx ) ,
uniform_idx_as_vec2 ( pass_idx ) ,
if neighbor_pass_idx > = 0 { Some ( uniform_idx_as_vec2 ( neighbor_pass_idx as usize ) ) } else { None } ,
water_alt [ chunk_idx ] ,
water_alt [ lake_idx ] ) ;
panic! ( " Should this happen at all? " ) ;
}
let slope_sqrt = slope . sqrt ( ) ;
// Now, we compute a quantity that is proportional to the velocity of the chunk, derived
// from the Manning formula, equal to
// volumetric_flow_rate / slope_sqrt * CONFIG.river_roughness.
let almost_velocity = volumetric_flow_rate / slope_sqrt * CONFIG . river_roughness as f64 ;
// From this, we can figure out the width of the chunk if we know the height. For now, we
// hardcode the height to 0.5, but it should almost certainly be much more complicated than
// this.
// let mut height = 0.5f32;
// We approximate the river as a rectangular prism. Theoretically, we need to solve the
// following quintic equation to determine its width from its height:
//
// h^5 * w^5 = almost_velocity^3 * (w + 2 * h)^2.
//
// This is because one of the quantities in the Manning formula (the unknown) is R_h =
// (area of cross-section / h)^(2/3).
//
// Unfortunately, quintic equations do not in general have algebraic solutions, and it's
// not clear (to me anyway) that this one does in all cases.
//
// In practice, for high ratios of width to height, we can approximate the rectangular
// prism's perimeter as equal to its width, so R_h as equal to height. This greatly
// simplifies the calculation. For simplicity, we do this even for low ratios of width to
// height--I found that for most real rivers, at least big ones, this approximation is
// "good enough." We don't need to be *that* realistic :P
//
// NOTE: Derived from a paper on estimating river width.
let mut width = 5.0
* ( CONFIG . river_width_to_depth as f64
* ( CONFIG . river_width_to_depth as f64 + 2.0 ) . powf ( 2.0 / 3.0 ) )
. powf ( 3.0 / 8.0 )
* volumetric_flow_rate . powf ( 3.0 / 8.0 )
* slope . powf ( - 3.0 / 16.0 )
* ( CONFIG . river_roughness as f64 ) . powf ( 3.0 / 8.0 ) ;
width = width . max ( 0.0 ) ;
let mut height = if width = = 0.0 {
CONFIG . river_min_height as f64
} else {
( almost_velocity / width ) . powf ( 3.0 / 5.0 )
} ;
// We can now weight the river's drainage by its direction, which we use to help improve
// the slope of the downhill node.
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let river_direction = Vec3 ::new ( neighbor_dim . x , neighbor_dim . y , dz . signum ( ) * dz ) ;
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// Now, we can check whether this is "really" a river.
// Currently, we just check that width and height are at least 0.5 and
// CONFIG.river_min_height.
let river = & rivers [ chunk_idx ] ;
let is_river = river . is_river ( ) | | width > = 0.5 & & height > = CONFIG . river_min_height as f64 ;
let mut downhill_river = & mut rivers [ downhill_idx ] ;
if is_river {
// Provisionally make the downhill chunk a river as well.
downhill_river . river_kind = Some ( RiverKind ::River {
cross_section : Vec2 ::default ( ) ,
} ) ;
// Additionally, if the cross-sectional area for this river exceeds the max river
// width, the river is overflowing the two chunks adjacent to it, which we'd prefer to
// avoid since only its two immediate neighbors (orthogonal to the downhill direction)
// are guaranteed uphill of it.
// Solving this properly most likely requires modifying the erosion model to
// take channel width into account, which is a formidable task that likely requires
// rethinking the current grid-based erosion model (or at least, requires tracking some
// edges that aren't implied by the grid graph). For now, we will solve this problem
// by making the river deeper when it hits the max width, until it consumes all the
// available energy in this part of the river.
let max_width = TerrainChunkSize ::RECT_SIZE . x as f64 * CONFIG . river_max_width as f64 ;
if width > max_width {
width = max_width ;
height = ( almost_velocity / width ) . powf ( 3.0 / 5.0 ) ;
}
}
// Now we can compute the river's approximate velocity magnitude as well, as
let velocity_magnitude =
1.0 / CONFIG . river_roughness as f64 * height . powf ( 2.0 / 3.0 ) * slope_sqrt ;
// Set up the river's cross-sectional area.
let cross_section = Vec2 ::new ( width as f32 , height as f32 ) ;
// Set up the river's velocity vector.
let mut velocity = river_direction ;
velocity . normalize ( ) ;
velocity * = velocity_magnitude ;
let mut river = & mut rivers [ chunk_idx ] ;
// NOTE: Not trying to do this more cleverly because we want to keep the river's neighbors.
// TODO: Actually put something in the neighbors.
river . velocity = velocity . map ( | e | e as f32 ) ;
river . spline_derivative = river_spline_derivative ;
river . river_kind = if is_river {
Some ( RiverKind ::River { cross_section } )
} else {
None
} ;
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} ) ;
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rivers
}
/// Precompute the maximum slope at all points.
///
/// TODO: See if allocating in advance is worthwhile.
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fn get_max_slope ( h : & [ Alt ] , rock_strength_nz : & ( impl NoiseFn < Point3 < f64 > > + Sync ) ) -> Box < [ f64 ] > {
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let min_max_angle = ( 15.0 /* 6.0 */ /* 30.0 */ /* 6.0 */ /* 15.0 */ / 360.0 * 2.0 * f64 ::consts ::PI ) . tan ( ) ;
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let max_max_angle =
( 60.0 /* 54.0 */ /* 50.0 */ /* 54.0 */ /* 45.0 */ / 360.0 * 2.0 * f64 ::consts ::PI ) . tan ( ) ;
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let max_angle_range = max_max_angle - min_max_angle ;
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let height_scale = 1.0 / 4.0 ; // 1.0; // 1.0 / CONFIG.mountain_scale as f64;
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h . par_iter ( )
. enumerate ( )
. map ( | ( posi , & z ) | {
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let wposf = uniform_idx_as_vec2 ( posi ) . map ( | e | e as f64 ) * TerrainChunkSize ::RECT_SIZE . map ( | e | e as f64 ) ;
let wposz = z as f64 / height_scale ; // * CONFIG.mountain_scale as f64;
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// Normalized to be between 6 and and 54 degrees.
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let div_factor = /* 32.0 */ /* 16.0 */ /* 64.0 */ /* 256.0 */ /* 8.0 / 4.0 */ /* 8.0 */ ( 2.0 * TerrainChunkSize ::RECT_SIZE . x as f64 ) / 8.0 /* * 8.0 */ /* 1.0 */ /* 4.0 */ /* * /* 1.0 */ 16.0 /* TerrainChunkSize::RECT_SIZE.x as f64 / 8.0 */ */ ;
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let rock_strength = rock_strength_nz
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. get ( [
wposf . x , /* / div_factor */
wposf . y , /* / div_factor */
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wposz * div_factor ,
] ) ;
/* if rock_strength < -1.0 || rock_strength > 1.0 {
println! ( " Nooooo: {:?} " , rock_strength ) ;
} * /
let rock_strength = rock_strength
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. max ( - 1.0 )
. min ( 1.0 )
* 0.5
+ 0.5 ;
// Powering rock_strength^((1.25 - z)^6) means the maximum angle increases with z, but
// not too fast. At z = 0.25 the angle is not affected at all, below it the angle is
// lower, and above it the angle is higher.
//
// Logistic regression. Make sure x ∈ (0, 1).
let logit = | x : f64 | x . ln ( ) - ( - x ) . ln_1p ( ) ;
// 0.5 + 0.5 * tanh(ln(1 / (1 - 0.1) - 1) / (2 * (sqrt(3)/pi)))
let logistic_2_base = 3.0 f64 . sqrt ( ) * f64 ::consts ::FRAC_2_PI ;
// Assumes μ = 0, σ = 1
let logistic_cdf = | x : f64 | ( x / logistic_2_base ) . tanh ( ) * 0.5 + 0.5 ;
// We do log-odds against center, so that our log odds are 0 when x = 0.25, lower when x is
// lower, and higher when x is higher.
//
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// (NOTE: below sea level, we invert it).
//
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// TODO: Make all this stuff configurable... but honestly, it's so complicated that I'm not
// sure anyone would be able to usefully tweak them on a per-map basis? Plus it's just a
// hacky heuristic anyway.
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let center = /* 0.25 */ /* 0.4 */ /* 0.2 */ 0.4 ;
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let dmin = center - /* 0.15; / / 0.05 */ 0.05 ;
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let dmax = center + /* 0.05 */ /* 0.10 */ 0.05 ; //0.05;
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let log_odds = | x : f64 | logit ( x ) - logit ( center ) ;
let rock_strength = logistic_cdf (
1.0 * logit ( rock_strength . min ( 1.0 f64 - 1e-7 ) . max ( 1e-7 ) )
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+ 1.0 * log_odds ( ( wposz / CONFIG . mountain_scale as f64 ) . abs ( ) . min ( dmax ) . max ( dmin ) ) ,
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) ;
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// let rock_strength = 0.5;
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let max_slope = rock_strength * max_angle_range + min_max_angle ;
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// let max_slope = /*30.0.to_radians().tan();*/3.0.sqrt() / 3.0;
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max_slope
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} )
. collect ::< Vec < _ > > ( )
. into_boxed_slice ( )
}
/// Erode all chunks by amount.
///
/// Our equation is:
///
/// dh(p) / dt = uplift(p)− k * A(p)^m * slope(p)^n
///
/// where A(p) is the drainage area at p, m and n are constants
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/// (we choose m = 0.4 and n = 1), and k is a constant. We choose
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///
/// k = 2.244 * uplift.max() / (desired_max_height)
///
/// since this tends to produce mountains of max height desired_max_height; and we set
/// desired_max_height = 1.0 to reflect limitations of mountain scale.
///
/// This algorithm does this in four steps:
///
/// 1. Sort the nodes in h by height (so the lowest node by altitude is first in the
/// list, and the highest node by altitude is last).
/// 2. Iterate through the list in *reverse.* For each node, we compute its drainage area as
/// the sum of the drainage areas of its "children" nodes (i.e. the nodes with directed edges to
/// this node). To do this efficiently, we start with the "leaves" (the highest nodes), which
/// have no neighbors higher than them, hence no directed edges to them. We add their area to
/// themselves, and then to all neighbors that they flow into (their "ancestors" in the flow
/// graph); currently, this just means the node immediately downhill of this node.
/// As we go lower, we know that all our "children" already had their areas computed, which
/// means that we can repeat the process in order to derive all the final areas.
/// 3. Now, iterate through the list in *order.* Whether we used the filling method to compute a
/// "filled" version of each depression, or used the lake connection algoirthm described in [1],
/// each node is guaranteed to have zero or one drainage edges out, representing the direction
/// of water flow for that node. For nodes i with zero drainage edges out (boundary nodes and
/// lake bottoms) we set the slope to 0 (so the change in altitude is uplift(i))
/// For nodes with at least one drainage edge out, we take advantage of the fact that we are
/// computing new heights in order and rewrite our equation as (letting j = downhill[i], A[i]
/// be the computed area of point i, p(i) be the x-y position of point i,
/// flux(i) = k * A[i]^m / ((p(i) - p(j)).magnitude()), and δt = 1):
///
/// h[i](t + dt) = h[i](t) + δt * (uplift[i] + flux(i) * h[j](t + δt)) / (1 + flux(i) * δt).
///
/// Since we compute heights in ascending order by height, and j is downhill from i, h[j] will
/// always be the *new* h[j](t + δt), while h[i] will still not have been computed yet, so we
/// only need to visit each node once.
///
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/// Afterwards, we also apply a hillslope diffusion process using an ADI (alternating direction
/// implicit) method:
///
/// https://github.com/fastscape-lem/fastscapelib-fortran/blob/master/src/Diffusion.f90
///
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/// We also borrow the implementation for sediment transport from
///
/// https://github.com/fastscape-lem/fastscapelib-fortran/blob/master/src/StreamPowerLaw.f90
///
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/// The approximate equation for soil production function (predictng the rate at which bedrock
/// turns into soil, increasing the distance between the basement and altitude) is taken from
/// equation (11) from [2]. This (among numerous other sources) also includes at least one
/// prediction that hillslope diffusion should be nonlinear, which we sort of attempt to
/// approximate.
///
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/// [1] Guillaume Cordonnier, Jean Braun, Marie-Paule Cani, Bedrich Benes, Eric Galin, et al..
/// Large Scale Terrain Generation from Tectonic Uplift and Fluvial Erosion.
/// Computer Graphics Forum, Wiley, 2016, Proc. EUROGRAPHICS 2016, 35 (2), pp.165-175.
/// ⟨10.1111/cgf.12820⟩. ⟨hal-01262376⟩
///
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/// [2] William E. Dietrich, Dino G. Bellugi, Leonard S. Sklar, Jonathan D. Stock
/// Geomorphic Transport Laws for Predicting Landscape Form and Dynamics.
/// Prediction in Geomorphology, Geophysical Monograph 135.
/// Copyright 2003 by the American Geophysical Union
/// 10.1029/135GM09
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fn erode (
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// Height above sea level of topsoil
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h : & mut [ Alt ] ,
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// Height above sea level of bedrock
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b : & mut [ Alt ] ,
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// Height above topsoil of alluvium (loose rock)
// a: &mut [Alt],
// Height above sea level of water
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wh : & mut [ Alt ] ,
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is_done : & mut BitBox ,
done_val : bool ,
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erosion_base : f32 ,
max_uplift : f32 ,
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max_g : f32 ,
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kdsed : f64 ,
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_seed : & RandomField ,
rock_strength_nz : & ( impl NoiseFn < Point3 < f64 > > + Sync ) ,
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uplift : impl Fn ( usize ) -> f32 + Sync ,
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n_f : impl Fn ( usize ) -> f32 + Sync ,
m_f : impl Fn ( usize ) -> f32 + Sync ,
kf : impl Fn ( usize ) -> f64 + Sync ,
kd : impl Fn ( usize ) -> f64 ,
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g : impl Fn ( usize ) -> f32 + Sync ,
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epsilon_0 : impl Fn ( usize ) -> f32 + Sync ,
alpha : impl Fn ( usize ) -> f32 + Sync ,
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is_ocean : impl Fn ( usize ) -> bool + Sync ,
) {
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let compute_stats = true ;
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log ::debug! ( " Done draining... " ) ;
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let height_scale = 1.0 ; // 1.0 / CONFIG.mountain_scale as f64;
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let min_erosion_height = 0.0 ; // -<Alt as Float>::infinity();
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let mmaxh = CONFIG . mountain_scale as f64 * height_scale ;
// Since maximum uplift rate is expected to be 5.010e-4 m * y^-1, and
// 1.0 height units is 1.0 / height_scale m, whatever the
// max uplift rate is (in units / y), we can find dt by multiplying by
// 1.0 / height_scale m / unit and then dividing by 5.010e-4 m / y
// (to get dt in y / unit). More formally:
//
// max_uplift h_unit / dt y = 5.010e-4 m / y
//
// 1 h_unit = 1.0 / height_scale m
//
// max_uplift h_unit / dt * 1.0 / height_scale m / h_unit =
// max_uplift / height_scale m / dt =
// 5.010e-4 m / y
//
// max_uplift / height_scale m / dt / (5.010e-4 m / y) = 1
// (max_uplift / height_scale / 5.010e-4) y = dt
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// 5e-7
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let dt = max_uplift as f64 /* / height_scale */ /* * CONFIG.mountain_scale as f64 */ / /* 5.010e-4 */ 1e-3 /* 0.2e-3 */ ;
log ::debug! ( " dt={:?} " , dt ) ;
// Minimum sediment thickness before we treat erosion as sediment based.
let sediment_thickness = 1.0e-4 * dt ;
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let neighbor_coef = TerrainChunkSize ::RECT_SIZE . map ( | e | e as f64 ) ;
let chunk_area = neighbor_coef . x * neighbor_coef . y ;
let min_length = neighbor_coef . reduce_partial_min ( ) ;
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let max_stable = /* max_slope * */ min_length * min_length / ( dt /* / 2.0 */ ) ; //1.0/* + /*max_uplift as f64 / dt*/sed / dt*/;
// Landslide constant: ideally scaled to 10e-2 m / y^-1
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let l = /* 200.0 * max_uplift as f64; */ ( 1.0e-2 /* / CONFIG.mountain_scale as f64 */ * height_scale ) ;
let l_tot = l * dt ;
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// Debris flow coefficient (m / year).
let k_df = 1.0e-4 /* 0.0 */ ;
// Debris flow area coefficient (m^(-2q)).
let q = 0.2 ;
let q_ = 1.5 /* 1.0 */ ;
let k_da = /* 5.0 */ 2.5 * 16. 0. powf ( q ) ;
let nx = WORLD_SIZE . x ;
let ny = WORLD_SIZE . y ;
let dx = TerrainChunkSize ::RECT_SIZE . x as f64 /* * height_scale */ /* / CONFIG.mountain_scale as f64 */ ;
let dy = TerrainChunkSize ::RECT_SIZE . y as f64 /* * height_scale */ /* / CONFIG.mountain_scale as f64 */ ;
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// ε₀ = 0.000268 m/y, α = 0.03 (1/m). This is part of the soil production approximate
// equation:
//
// -∂z_b / ∂t = ε₀ * e^(-α H)
//
// where
// z_b is the elevation of the soil-bedrock interface (i.e. the basement),
// ε₀ is the production rate of exposed bedrock (H = 0),
// H is the soil thickness normal to the ground surface,
// and α is a parameter (units of 1 / length).
//
// Note that normal depth at i, for us, will be interpreted as the soil depth vector,
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// sed_i = ((0, 0), h_i - b_i),
// projected onto the ground surface slope vector,
// ground_surface_i = ((p_i - p_j), h_i - h_j),
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// yielding the soil depth vector
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// H_i = sed_i - sed_i ⋅ ground_surface_i / (ground_surface_i ⋅ ground_surface_i) * ground_surface_i
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//
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// = ((0, 0), h_i - b_i) -
// (0 * ||p_i - p_j|| + (h_i - b_i) * (h_i - h_j)) / (||p_i - p_j||^2 + (h_i - h_j)^2)
// * (p_i - p_j, h_i - h_j)
// = ((0, 0), h_i - b_i) -
// ((h_i - b_i) * (h_i - h_j)) / (||p_i - p_j||^2 + (h_i - h_j)^2)
// * (p_i - p_j, h_i - h_j)
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// = (h_i - b_i) *
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// (((0, 0), 1) - (h_i - h_j) / (||p_i - p_j||^2 + (h_i - h_j)^2) * (p_i - p_j, h_i - h_j))
// H_i_fact = (h_i - h_j) / (||p_i - p_j||^2 + (h_i - h_j)^2)
// H_i = (h_i - b_i) * ((((0, 0), 1) - H_i_fact * (p_i - p_j, h_i - h_j)))
// = (h_i - b_i) * (-H_i_fact * (p_i - p_j), 1 - H_i_fact * (h_i - h_j))
// ||H_i|| = (h_i - b_i) * √(H_i_fact^2 * ||p_i - p_j||^2 + (1 - H_i_fact * (h_i - h_j))^2)
// = (h_i - b_i) * √(H_i_fact^2 * ||p_i - p_j||^2 + 1 - 2 * H_i_fact * (h_i - h_j) +
// H_i_fact^2 * (h_i - h_j)^2)
// = (h_i - b_i) * √(H_i_fact^2 * (||p_i - p_j||^2 + (h_i - h_j)^2) +
// 1 - 2 * H_i_fact * (h_i - h_j))
// = (h_i - b_i) * √((h_i - h_j)^2 / (||p_i - p_j||^2 + (h_i - h_j)^2) * (||p_i - p_j||^2 + (h_i - h_j)^2) +
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// 1 - 2 * (h_i - h_j)^2 / (||p_i - p_j||^2 + (h_i - h_j)^2))
// = (h_i - b_i) * √((h_i - h_j)^2 - 2(h_i - h_j)^2 / (||p_i - p_j||^2 + (h_i - h_j)^2) + 1)
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//
// where j is i's receiver and ||p_i - p_j|| is the horizontal displacement between them. The
// idea here is that we first compute the hypotenuse between the horizontal and vertical
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// displacement of ground (getting the horizontal component of the triangle), and then this is
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// taken as one of the non-hypotenuse sides of the triangle whose other non-hypotenuse side is
// the normal height H_i, while their square adds up to the vertical displacement (h_i - b_i).
// If h and b have different slopes, this may not work completely correctly, but this is
// probably fine as an approximation.
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/* let epsilon_0 = 2.68e-4;
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let alpha = 3e-2 ;
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let epsilon_0_tot = epsilon_0 * dt ; * /
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// Net precipitation rate (m / year)
let p = 1.0 * height_scale ;
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/* let n = 2.4; / / 1.0; / / 1.5; / / 2.4; / / 1.0;
let m = n * 0.5 ; // n * 0.4;// 0.96;// 0.4;//0.6;//0.96;//0.4; */
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// Stream power erosion constant (bedrock), in m^(1-2m) / year (times dt).
let k_fb = // erosion_base as f64 + 2.244 / mmaxh as f64 * max_uplift as f64;
// 2.244*(5.010e-4)/512*5- (1.097e-5)
// 2.244*(5.010e-4)/2048*5- (1.097e-5)
// 2.244*(5.010e-4)/512- (8e-6)
// 2.244*(5.010e-4)/512- (2e-6)
// 2e-6 * dt;
// 8e-6 * dt
// 2e-5 * dt;
// 2.244/2048*5*32/(250000/4)*10^6
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// ln(tan(30/360*2*pi))-ln(tan(6/360*2*pi))*1500 = 3378
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//erosion_base as f64 + 2.244 / mmaxh as f64 * /*10.0*//*5.0*//*9.0*//*7.5*//*5.0*//*2.5*//*1.5*//*5.0*//*1.0*//*1.5*//*2.5*//*3.75*/ * max_uplift as f64;
// 2.5e-6 * dt;
2e-5 * dt ;
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// see http://geosci.uchicago.edu/~kite/doc/Whipple_and_Tucker_1999.pdf
//5e-6 * dt; // 2e-5 was designed for steady state uplift of 2mm / y whih would amount to 500 m / 250,000 y.
// (2.244*(5.010e-4)/512)/(2.244*(5.010e-4)/2500) = 4.88...
// 2.444 * 5
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// Stream power erosion constant (sediment), in m^(1-2m) / year (times dt).
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let k_fs_mult_sed = /* 1.0; */ /* 2.0 */ 4.0 ; /* 1.0; */ //2.0;/*1.5*/;
// Stream power erosion constant (underwater).
let k_fs_mult_water = /* 1.0 */ /* 0.5 */ 0.25 ;
let g_fs_mult_sed = 1.0 /* 0.5 */ ;
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// let k_fs = k_fb * 1.0/*1.5*//*2.0*//*2.0*//*4.0*/;
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// u = k * h_max / 2.244
// let uplift_scale = erosion_base as f64 + (k_fb * mmaxh / 2.244 / 5.010e-4 as f64 * mmaxh as f64) * dt;
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let (
( dh , indirection , newh , maxh , mrec , mstack , mwrec , area ) ,
( mut max_slopes , /* (ht, at) */ h_t ) ,
) = rayon ::join (
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| | {
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let mut dh = downhill (
| posi | h [ posi ] , /* + a[posi].max(0.0) */ /* + uplift(posi) as Alt */
| posi | {
is_ocean ( posi )
& & h [ posi ] /* + a[posi].max(0.0) */ /* + uplift(posi) as Alt */ < = 0.0
} ,
) ;
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log ::debug! ( " Computed downhill... " ) ;
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let ( boundary_len , indirection , newh , maxh ) = get_lakes (
| posi | h [ posi ] , /* + a[posi].max(0.0) */ /* + uplift(posi) as Alt */
& mut dh ,
) ;
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log ::debug! ( " Got lakes... " ) ;
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let ( mrec , mstack , mwrec ) = get_multi_rec (
| posi | h [ posi ] ,
& dh ,
& newh ,
wh ,
nx ,
ny ,
dx as Compute ,
dy as Compute ,
maxh ,
) ;
log ::debug! ( " Got multiple receivers... " ) ;
// let area = get_drainage(&newh, &dh, boundary_len);
let area = get_multi_drainage ( & mstack , & mrec , & * mwrec , boundary_len ) ;
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log ::debug! ( " Got flux... " ) ;
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( dh , indirection , newh , maxh , mrec , mstack , mwrec , area )
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} ,
| | {
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rayon ::join (
| | {
let max_slope = get_max_slope ( h , rock_strength_nz ) ;
log ::debug! ( " Got max slopes... " ) ;
max_slope
} ,
| | {
h . to_vec ( ) . into_boxed_slice ( )
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/* rayon::join(
| | {
// Store the elevation at t
h . to_vec ( ) . into_boxed_slice ( )
// h.into_par_iter().map(|e| e as f64).collect::<Vec<_>>().into_boxed_slice()
} ,
| | {
a . to_vec ( ) . into_boxed_slice ( )
} ,
) * /
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} ,
)
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} ,
) ;
assert! ( h . len ( ) = = dh . len ( ) & & dh . len ( ) = = area . len ( ) ) ;
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// max angle of slope depends on rock strength, which is computed from noise function.
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// TODO: Make more principled.
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let mid_slope = ( 30.0 / 360.0 * 2.0 * f64 ::consts ::PI ) . tan ( ) ; //1.0;
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type SimdType = f64 ;
type MaskType = m64 ;
let simd_func = f64s /* f32s */ ;
// Precompute factors for Stream Power Law.
let czero = < /* Compute */ SimdType as Zero > ::zero ( ) ;
let ( k_fs_fact , /* () */ k_df_fact ) = rayon ::join (
| | {
dh . par_iter ( ) . enumerate ( )
. map ( | ( posi , & posj ) | {
let mut k_tot = /* Computex8::splat(czero); */ [ czero ; 8 ] ;
if posj < 0 {
// Egress with no outgoing flows, no stream power.
k_tot
} else {
let old_b_i = b [ posi ] ;
let sed = ( h_t [ posi ] - old_b_i ) as f64 ;
let k = if sed > sediment_thickness {
// Sediment
// k_fs
k_fs_mult_sed * kf ( posi )
} else {
// Bedrock
// k_fb
kf ( posi )
} * dt ;
let n = n_f ( posi ) as f64 ;
let m = m_f ( posi ) as f64 ;
let mwrec_i = & mwrec [ posi ] ;
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mrec_downhill ( & mrec , posi ) . for_each ( | ( kk , posj ) | {
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// let posj = posj as usize;
let dxy = ( uniform_idx_as_vec2 ( posi ) - uniform_idx_as_vec2 ( posj ) ) . map ( | e | e as f64 ) ;
let neighbor_distance = ( neighbor_coef * dxy ) . magnitude ( ) ;
let knew = ( k * ( p * chunk_area * ( area [ posi ] as f64 * mwrec_i [ kk ] as f64 ) ) . powf ( m ) / neighbor_distance . powf ( n ) ) as /* Compute */ SimdType ;
// let knew = (k * (p * chunk_area * (area[posi] as f64 * mwrec_i.extract(kk) as f64)).powf(m) / neighbor_distance.powf(n)) as Compute;
k_tot [ kk ] = knew ;
// k_tot = k_tot.replace(kk, knew);
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} ) ;
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k_tot
}
} )
. collect ::< Vec < /* Computex8 */ [ SimdType ; 8 ] > > ( )
} ,
| | {
dh . par_iter ( ) . enumerate ( )
. map ( | ( posi , & posj ) | {
let mut k_tot = /* Computex8::splat(czero); */ [ czero ; 8 ] ;
let uplift_i = uplift ( posi ) as f64 ;
debug_assert! ( uplift_i . is_normal ( ) & & uplift_i > 0.0 | | uplift_i = = 0.0 ) ;
if posj < 0 {
// Egress with no outgoing flows, no stream power.
k_tot
} else {
let area_i = area [ posi ] as f64 ;
let max_slope = max_slopes [ posi ] /* mid_slope */ ;
let chunk_area_pow = chunk_area . powf ( q ) ;
let old_b_i = b [ posi ] ;
let sed = ( h_t [ posi ] - old_b_i ) as f64 ;
/* let k_f = if sed > sediment_thickness {
// Sediment
// k_fs
k_fs_mult_sed * kf ( posi )
} else {
// Bedrock
// k_fb
kf ( posi )
} * dt ; * /
// let g_i = g(posi) as f64;
let g_i = if sed > sediment_thickness {
g_fs_mult_sed * g ( posi ) as f64
} else {
g ( posi ) as f64
} ;
// Higher rock strength tends to lead to higher curvature?
let kd_factor =
// 1.0;
( 1.0 / ( max_slope / mid_slope /* .sqrt() */ /* .powf(0.03125) */ ) . powf ( /* 2.0 */ 2.0 ) ) /* .min(kdsed) */ ;
let k_da = k_da / /* max_slope */ kd_factor ;
// let k_df = /*uplift_i*/0.05e-3 / (1.0 + k_da * /*chunk_area_pow*/(10_000.0).powf(q)) / max_slope.powf(q_);
// let k = (uplift_i - kf(posi) * dt * (p * chunk_area).powf(m_f(posi) as f64) * max_slope.powf(n_f(posi) as f64)).max(0.0) / (1.0 + k_da * chunk_area_pow) / max_slope.powf(q_);
// let k = (uplift_i * (1.0 + g_i / p) - k_f * (p * chunk_area).powf(m_f(posi) as f64) * max_slope.powf(n_f(posi) as f64)).max(0.0) / (1.0 + k_da * chunk_area_pow) / max_slope.powf(q_);
// let k = uplift_i / (1.0/* + k_da * chunk_area_pow*/) / max_slope.powf(q_);
// let k = uplift_i / (1.0 + k_da * chunk_area_pow) / max_slope.powf(q_);
// let k = (uplift_i + max_uplift as f64 * g_i / p) / (1.0 + k_da * chunk_area_pow) / max_slope.powf(q_);
// let k = (uplift_i + max_uplift as f64 * g_i / p) / (1.0 + k_da * (100.0 * 100.0).powf(q)) / max_slope.powf(q_);
// let k = k_df * dt;
let mwrec_i = & mwrec [ posi ] ;
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mrec_downhill ( & mrec , posi ) . for_each ( | ( kk , posj ) | {
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let mwrec_kk = mwrec_i [ kk ] ;
// let posj = posj as usize;
// Working equation:
// U = uplift per time
// D = sediment deposition per time
// E = fluvial erosion per time
// 0 = U + D - E - k_df * (1 + k_da * (mrec_kk * A)^q) * (∂B/∂p)^(q_)
//
// k_df = (U + D - E) / (1 + k_da * (mrec_kk * A)^q) / (∂B/∂p)^(q_)
//
// Want: ∂B/∂p = max slope at steady state, i.e.
// ∂B/∂p = max_slope
// Then:
// k_df = (U + D - E) / (1 + k_da * (mrec_kk * A)^q) / max_slope^(q_)
// Letting
// k = k_df * Δt
// we get:
// k = (U + D - E)Δt / (1 + k_da * (mrec_kk * A)^q) / (ΔB)^(q_)
//
// Now ∂B/∂t under constant uplift, without debris flow (U + D - E), is
// U + D - E = U - E + G/(p̃A) * ∫_A((U - ∂h/∂t) * dA)
//
// Observing that at steady state ∂h/∂t should theoretically
// be 0, we can simplify to:
// U + D = U + G/(p̃A) * ∫_A(U * dA)
//
// Upper bounding this at uplift = max_uplift/∂t for the whole prior
// drainage area, and assuming we account for just mrec_kk of
// the combined uplift and deposition, we get:
//
// U + D ≤ mrec_kk * U + G/p̃ * max_uplift/∂t
// (U + D - E)Δt ≤ (mrec_kk * uplift_i + G/p̃ * mrec_kk * max_uplift - EΔt)
//
// therefore
// k * (1 + k_da * (mrec_kk * A)^q) * max_slope^(q_) ≤ (mrec_kk * (uplift_i + G/p̃ * max_uplift) - EΔt)
// i.e.
// k ≤ (mrec_kk * (uplift_i + G/p̃ * max_uplift) - EΔt) / (1 + k_da * (mrec_kk * A)^q) / max_slope^q_
//
// (eliminating EΔt maintains the sign, but it's somewhat imprecise;
// we can address this later, e.g. by assigning a debris flow / fluvial erosion ratio).
let chunk_neutral_area = /* 10.0e6 */ 1.0e6 /* 0.1e6 */ /* 100.0 * 100.0 */ ; // 1 km^2 * (1000 m / km)^2 = 1e6 m^2
let k = ( mwrec_kk * ( uplift_i + max_uplift as f64 * g_i /* / p */ ) ) / ( 1.0 + k_da * ( mwrec_kk * chunk_neutral_area ) . powf ( q ) ) / max_slope . powf ( q_ ) ;
// ∆p = ||chunk_i - rec_i,kk||
// k = k_df * Δt / (Δp)^(q_)
// we have
//
//
// ΔB = k * (1 + k_da * (mrec_kk * A)^q) * (∆p)^(q_)
// k * (1 + k_da * (mrec_kk * A)^q) = ΔB / ∆p^(q_)
// k = ΔB / (1 + k_da * (mrec_kk * A)^q) / ∆p
//
// Now ∂B/∂t under constant uplift, without debris flow, is
// ∂B/∂t = U - E + G/(p̃A) * ∫_A((U - ∂h/∂t) * dA)
let dxy = ( uniform_idx_as_vec2 ( posi ) - uniform_idx_as_vec2 ( posj ) ) . map ( | e | e as f64 ) ;
let neighbor_distance = ( neighbor_coef * dxy ) . magnitude ( ) ;
let knew = ( k * ( 1.0 + k_da * chunk_area_pow * ( area_i * mwrec_kk as f64 ) . powf ( q ) ) / neighbor_distance . powf ( q_ ) ) as SimdType /* Compute */ ;
// let knew = (k * (1.0 + k_da * chunk_area_pow * (area_i * mwrec_i.extract(kk) as f64).powf(q)) / neighbor_distance.powf(q_)) as Compute;
// let knew = 0.0;
k_tot [ kk ] = knew ;
// k_tot = k_tot.replace(kk, knew);
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} ) ;
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k_tot
}
} )
. collect ::< Vec < /* Computex8 */ [ SimdType ; 8 ] > > ( )
} ,
) ;
/* h.par_iter_mut().enumerate().for_each(|(posi, h)| {
* h + = uplift ( posi ) as Alt ;
} ) ; * /
log ::debug! ( " Computed stream power factors... " ) ;
let mut lake_water_volume =
vec! [ /* -1i32 */ 0.0 as Compute ; WORLD_SIZE . x * WORLD_SIZE . y ] . into_boxed_slice ( ) ;
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let mut elev = vec! [ /* -1i32 */ 0.0 as Compute ; WORLD_SIZE . x * WORLD_SIZE . y ] . into_boxed_slice ( ) ;
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let mut h_p = vec! [ /* -1i32 */ 0.0 as Compute ; WORLD_SIZE . x * WORLD_SIZE . y ] . into_boxed_slice ( ) ;
/* let mut hp = vec![ /* -1i32 */ 0.0 as Compute; WORLD_SIZE.x * WORLD_SIZE.y].into_boxed_slice();
let mut ap = vec! [ /* -1i32 */ 0.0 as Compute ; WORLD_SIZE . x * WORLD_SIZE . y ] . into_boxed_slice ( ) ; * /
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let mut deltah = vec! [ /* -1i32 */ 0.0 as Compute ; WORLD_SIZE . x * WORLD_SIZE . y ] . into_boxed_slice ( ) ;
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/* let mut deltah_sediment = vec![ /* -1i32 */ 0.0 as Compute; WORLD_SIZE.x * WORLD_SIZE.y].into_boxed_slice();
let mut deltah_alluvium = vec! [ /* -1i32 */ 0.0 as Compute ; WORLD_SIZE . x * WORLD_SIZE . y ] . into_boxed_slice ( ) ; * /
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// calculate the elevation / SPL, including sediment flux
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let tol1 = 1.0e-4 as Compute * ( maxh as Compute + 1.0 ) ;
let tol2 = 1.0e-3 as Compute * ( max_uplift as Compute + 1.0 ) ;
let tol = tol1 . max ( tol2 ) ;
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let mut err = 2.0 * tol ;
// Some variables for tracking statistics, currently only for debugging purposes.
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let mut minh = < Alt as Float > ::infinity ( ) ;
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let mut maxh = 0.0 ;
let mut nland = 0 usize ;
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let mut ncorr = 0 usize ;
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let mut sums = 0.0 ;
let mut sumh = 0.0 ;
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let mut suma = 0.0 ;
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let mut sumsed = 0.0 ;
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let mut suma_land = 0.0 ;
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let mut sumsed_land = 0.0 ;
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let mut ntherm = 0 usize ;
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// ln of product of actual slopes (only where actual is above critical).
let mut prods_therm = 0.0 ;
// ln of product of critical slopes (only where actual is above critical).
let mut prodscrit_therm = 0.0 ;
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let avgz = | x , y : usize | if y = = 0 { f64 ::INFINITY } else { x / y as f64 } ;
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let geomz = | x : f64 , y : usize | {
if y = = 0 {
f64 ::INFINITY
} else {
( x / y as f64 ) . exp ( )
}
} ;
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// Gauss-Seidel iteration
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let mut lake_silt =
vec! [ /* -1i32 */ 0.0 as Compute ; WORLD_SIZE . x * WORLD_SIZE . y ] . into_boxed_slice ( ) ;
/* let mut lake_sediment = vec![ /* -1i32 */ 0.0 as Compute; WORLD_SIZE.x * WORLD_SIZE.y].into_boxed_slice();
let mut lake_alluvium = vec! [ /* -1i32 */ 0.0 as Compute ; WORLD_SIZE . x * WORLD_SIZE . y ] . into_boxed_slice ( ) ; * /
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let mut lake_sill = vec! [ /* -1i32 */ - 1 isize ; WORLD_SIZE . x * WORLD_SIZE . y ] . into_boxed_slice ( ) ;
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/* let mut h_ = (0..WORLD_SIZE.x * WORLD_SIZE.y)
. into_par_iter ( )
. map ( | posi | ht [ posi ] + at [ posi ] . max ( 0.0 ) )
. collect ::< Vec < _ > > ( )
. into_boxed_slice ( ) ; * /
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let mut n_gs_stream_power_law = 0 ;
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let max_n_gs_stream_power_law = /* 199 */ 99 ;
while err > tol & & n_gs_stream_power_law < max_n_gs_stream_power_law {
log ::debug! ( " Stream power iteration #{:?} " , n_gs_stream_power_law ) ;
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// Reset statistics in each loop.
maxh = 0.0 ;
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minh = < Alt as Float > ::infinity ( ) ;
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nland = 0 usize ;
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ncorr = 0 usize ;
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sums = 0.0 ;
sumh = 0.0 ;
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sumsed = 0.0 ;
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suma = 0.0 ;
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sumsed_land = 0.0 ;
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suma_land = 0.0 ;
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ntherm = 0 usize ;
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prods_therm = 0.0 ;
prodscrit_therm = 0.0 ;
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// Keep track of how many iterations we've gone to test for convergence.
n_gs_stream_power_law + = 1 ;
rayon ::join (
| | {
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/* rayon::join(
| | * /
{
// guess/update the elevation at t+Δt (k)
h_p . par_iter_mut ( )
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. zip_eq ( /* h_ */ h . par_iter ( ) ) /* .zip(wh.par_iter()) */
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. for_each ( | ( ( mut h_p , h_ ) /* , wh_ */ ) | {
* h_p = ( * h_ ) /* .max( * wh_) */ as Compute ;
} ) ;
/* hp.par_iter_mut().zip(h.par_iter()).for_each(|(mut hp, h)| {
* hp = * h as Compute ;
} ) ; * /
} /* ,
| | {
// guess/update the alluvium at t+Δt (k)
ap . par_iter_mut ( ) . zip ( a . par_iter ( ) ) . for_each ( | ( mut ap , a ) | {
* ap = * a as Compute ;
} ) ;
} , * /
/* ) */
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} ,
| | {
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/* rayon::join(
| | * /
{
// calculate erosion/deposition of sediment at each node
deltah . par_iter_mut ( ) . enumerate ( ) . for_each ( | ( posi , mut deltah ) | {
let uplift_i = uplift ( posi ) as Alt ;
// h_j(t, FINAL) + U_j * Δt - h_j(t + Δt, k)
/* debug_assert!(((h[posi] + a[posi].max(0.0)) - h_[posi]).abs() <= 1.0e-6);
// let foo = (ht[posi] + uplift_i - h[posi] - (at[posi] - a[posi]/*.max(0.0)*/)) as Compute;
let foo = ( ht [ posi ] + uplift_i - h [ posi ] - ( at [ posi ] - a [ posi ] . max ( 0.0 ) /* .max(0.0) */ ) ) as Compute ;
// let foo = (ht[posi] + at[posi] + uplift_i - (h[posi] + a[posi].max(0.0))) as Compute;
let bar = ( at [ posi ] /* + uplift_i */ - a [ posi ] . max ( 0.0 ) /* - (h[posi] - ht[posi] */ ) ) as Compute ; * /
let delta = ( /* ht[posi] + at[posi].max(0.0) */ h_t [ posi ] + uplift_i - /* h_ */ h [ posi ] /* .max(wh[posi]) */ ) as Compute ;
/* if (delta - (foo + bar)).abs() > 1.0e-6 {
println! ( " dh: {:?} , foo: {:?} , bar: {:?} , delta: {:?} , ht: {:?} , at: {:?} , h: {:?} , a: {:?} , h_: {:?} " ,
dh [ posi ] , foo , bar , delta ,
ht [ posi ] , at [ posi ] ,
h [ posi ] , a [ posi ] , h_ [ posi ] ) ;
debug_assert_eq! ( delta , foo + bar ) ;
} * /
* deltah = delta ;
} ) ;
/* deltah_sediment.par_iter_mut().enumerate().for_each(|(posi, mut deltah)| {
let uplift_i = uplift ( posi ) as Alt ;
* deltah = ( ht [ posi ] + uplift_i - h [ posi ] - ( at [ posi ] - a [ posi ] . max ( 0.0 ) ) ) as Compute ;
} ) ; * /
} /* ,
| | {
// calculate erosion/deposition of alluvium at each node
deltah_alluvium . par_iter_mut ( ) . enumerate ( ) . for_each ( | ( posi , mut deltah ) | {
let uplift_i = uplift ( posi ) as Alt ;
* deltah = ( at [ posi ] /* + uplift_i */ - a [ posi ] . max ( 0.0 ) /* - (h[posi] - ht[posi]) */ ) as Compute ;
} ) ;
} ,
) * /
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} ,
) ;
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log ::debug! ( " (Done precomputation). " ) ;
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// sum the erosion in stack order
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//
// After:
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// deltah_i = Σ{j ∈ {i} ∪ upstream_i(t)}(h_j(t, FINAL) + U_j * Δt - h_i(t + Δt, k))
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/* newh.iter().rev() */
mstack . into_iter ( ) . for_each ( | & posi | {
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let posi = posi as usize ;
let posj = dh [ posi ] ;
if posj < 0 {
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lake_silt [ posi ] = deltah [ posi ] ;
/* lake_sediment[posi] = deltah_sediment[posi];
lake_alluvium [ posi ] = deltah_alluvium [ posi ] ; * /
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} else {
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let uplift_i = uplift ( posi ) as Alt ;
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/* if (deltah[posi] - (deltah_sediment[posi] + deltah_alluvium[posi])).abs() > 1.0e-2 {
println! ( " deltah_sediment: {:?} , deltah_alluvium: {:?} , deltah: {:?} , hp: {:?} , ap: {:?} , h_p: {:?} , ht: {:?} , at: {:?} , h: {:?} , a: {:?} , h_: {:?} " ,
deltah_sediment [ posi ] , deltah_alluvium [ posi ] , deltah [ posi ] ,
hp [ posi ] , ap [ posi ] , h_p [ posi ] ,
ht [ posi ] , at [ posi ] ,
h [ posi ] , a [ posi ] , h_ [ posi ] ) ;
debug_assert_eq! ( deltah [ posi ] , deltah_sediment [ posi ] + deltah_alluvium [ posi ] ) ;
} * /
deltah [ posi ] - = ( ( /* ht[posi] + at[posi].max(0.0) */ h_t [ posi ] + uplift_i ) as Compute - h_p [ posi ] ) ;
/* deltah_sediment[posi] -= ((ht[posi] + uplift_i - (at[posi] - ap[posi].max(0.0))) as Compute - hp[posi]);
deltah_alluvium [ posi ] - = ( ( at [ posi ] /* + uplift_i - (hp[posi] - ht[posi]) */ ) as Compute - ap [ posi ] . max ( 0.0 ) ) ; * /
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let lposi = lake_sill [ posi ] ;
if lposi = = posi as isize {
if deltah [ posi ] < = 0.0 {
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lake_silt [ posi ] = 0.0 ;
} else {
lake_silt [ posi ] = deltah [ posi ] ;
}
/* if deltah_sediment[posi] <= 0.0 {
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lake_sediment [ posi ] = 0.0 ;
} else {
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lake_sediment [ posi ] = deltah_sediment [ posi ] ;
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}
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if deltah_alluvium [ posi ] < = 0.0 {
lake_alluvium [ posi ] = 0.0 ;
} else {
lake_alluvium [ posi ] = deltah_alluvium [ posi ] ;
} * /
}
deltah [ posi ] + = ( /* ht[posi] + at[posi].max(0.0) */ h_t [ posi ] + uplift_i ) as Compute - h_p [ posi ] ;
let mwrec_i = & mwrec [ posi ] ;
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mrec_downhill ( & mrec , posi ) . for_each ( | ( k , posj ) | {
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deltah [ posj ] + = deltah [ posi ] * mwrec_i [ k ] /* mwrec_i.extract(k) */ ;
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} ) ;
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/* let posj = posj as usize;
deltah [ posj ] + = deltah [ posi ] ; * /
/* deltah_sediment[posi] += (ht[posi] + uplift_i - (at[posi] - ap[posi].max(0.0))) as Compute - hp[posi];
deltah_sediment [ posj ] + = deltah_sediment [ posi ] ;
deltah_alluvium [ posi ] + = ( at [ posi ] /* + uplift_i - (hp[posi] - ht[posi] */ ) as Compute - ap [ posi ] . max ( 0.0 ) ;
deltah_alluvium [ posj ] + = deltah_alluvium [ posi ] ; * /
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}
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/* if (deltah[posi] - (deltah_sediment[posi] + deltah_alluvium[posi])).abs() > 1.0e-2 {
println! ( " deltah_sediment: {:?} , deltah_alluvium: {:?} , deltah: {:?} , hp: {:?} , ap: {:?} , h_p: {:?} , ht: {:?} , at: {:?} " ,
deltah_sediment [ posi ] , deltah_alluvium [ posi ] , deltah [ posi ] ,
hp [ posi ] , ap [ posi ] , h_p [ posi ] ,
ht [ posi ] , at [ posi ] ) ;
debug_assert_eq! ( deltah [ posi ] , deltah_sediment [ posi ] + deltah_alluvium [ posi ] ) ;
} * /
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} ) ;
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log ::debug! ( " (Done sediment transport computation). " ) ;
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// do ij=nn,1,-1
// ijk=stack(ij)
// ijr=rec(ijk)
// if (ijr.ne.ijk) then
// dh(ijk)=dh(ijk)-(ht(ijk)-hp(ijk))
// if (lake_sill(ijk).eq.ijk) then
// if (dh(ijk).le.0.d0) then
// lake_sediment(ijk)=0.d0
// else
// lake_sediment(ijk)=dh(ijk)
// endif
// endif
// dh(ijk)=dh(ijk)+(ht(ijk)-hp(ijk))
// dh(ijr)=dh(ijr)+dh(ijk)
// else
// lake_sediment(ijk)=dh(ijk)
// endif
// enddo
elev . par_iter_mut ( ) . enumerate ( ) . for_each ( | ( posi , mut elev ) | {
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let uplift_i = uplift ( posi ) as Alt ;
// let delta_a = a[posi] - at[posi];
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if dh [ posi ] < 0 {
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// *elev = (ht[posi] + uplift_i - delta_a) as Compute;
* elev = ( /* ht[posi] + at[posi].max(0.0) */ h_t [ posi ] + uplift_i ) as Compute ;
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} else {
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// let old_h_after_uplift_i = (ht[posi] + uplift_i - delta_a) as Compute;
let old_h_after_uplift_i = ( /* ht[posi] + at[posi].max(0.0) */ h_t [ posi ] + uplift_i ) as Compute ;
let area_i = area [ posi ] as Compute ;
// debug_assert!(area_i > 0.0);
let uphill_silt_i = deltah [ posi ] - ( old_h_after_uplift_i - h_p [ posi ] ) ;
// let uphill_sediment_i = deltah_sediment[posi] - (old_h_after_uplift_i - hp[posi]);
/* let uphill_sediment_alluvium_i =
deltah_sediment [ posi ] - ( ht [ posi ] + uplift_i - ( at [ posi ] - ap [ posi ] . max ( 0.0 ) ) - hp [ posi ] ) +
deltah_alluvium [ posi ] - ( ( /* at[posi] + uplift_i - (hp[posi] - ht[posi] */ at [ posi ] ) - ap [ posi ] . max ( 0.0 ) /* at[posi] */ ) ; * /
/* let uphill_sediment_alluvium_i =
deltah_sediment [ posi ] + deltah_alluvium [ posi ] -
2.0 * ( old_h_after_uplift_i - ( hp [ posi ] + ap [ posi ] ) ) ; * /
// let g_i = g(posi) as Compute;
let old_b_i = b [ posi ] ;
let sed = ( h_t [ posi ] - old_b_i ) as f64 ;
let g_i = if sed > sediment_thickness {
g_fs_mult_sed * g ( posi ) as Compute
} else {
g ( posi ) as Compute
} ;
// Make sure deposition coefficient doesn't result in more deposition than there
// actually was material to deposit. The current assumption is that as long as we
// are storing at most as much sediment as there actually was along the river, we
// are in the clear.
let g_i_ratio = ( g_i / area_i ) /* .min(1.0) */ ;
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// One side of nonlinear equation (23):
//
// h_i(t) + U_i * Δt + G / (p̃ * Ã_i) * Σ{j ∈ upstream_i(t)}(h_j(t, FINAL) + U_j * Δt - h_j(t + Δt, k))
//
// where
//
// Ã_i = A_i / (∆x∆y) = N_i, number of cells upstream of cell i.
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// *elev = old_h_after_uplift_i + uphill_sediment_i * g_i_ratio;
* elev = old_h_after_uplift_i + /* uphill_sediment_alluvium_i */ uphill_silt_i * g_i_ratio ;
/* if ( * elev - (old_h_after_uplift_i + uphill_silt_i * g_i_ratio)).abs() > 1.0e-6 {
println! ( " deltah_sediment: {:?} , deltah_alluvium: {:?} , deltah: {:?} , hp: {:?} , ap: {:?} , h_p: {:?} " ,
deltah_sediment [ posi ] , deltah_alluvium [ posi ] , deltah [ posi ] ,
hp [ posi ] , ap [ posi ] , h_p [ posi ] ) ;
debug_assert_eq! ( * elev , old_h_after_uplift_i + uphill_silt_i * g_i_ratio ) ;
} * /
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}
} ) ;
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log ::debug! ( " (Done elevation estimation). " ) ;
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let start_time = Instant ::now ( ) ;
// TODO: Consider taking advantage of multi-receiver flow here.
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// Iterate in ascending height order.
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let mut sum_err = 0.0 as Compute ;
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/* let mut k_df_weights = Computex8::new(0.0);
let mut k_fs_weights = Computex8 ::new ( 0.0 ) ;
let mut rec_heights = Computex8 ::new ( 0.0 ) ; * /
/* let mut k_df_weights = [0.0; 8];
let mut k_fs_weights = [ 0.0 ; 8 ] ;
let mut rec_heights = [ 0.0 ; 8 ] ; * /
let mut simd_buf = [ 0.0 ; 8 ] ;
let mut simd_buf2 = [ 0.0 ; 8 ] ;
let mut simd_buf3 = [ 0.0 ; 8 ] ;
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/* & * newh */
mstack . into_iter ( ) . rev ( ) . for_each ( | & posi | {
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let posi = posi as usize ;
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let old_elev_i = /* h */ elev [ posi ] as f64 ;
let old_wh_i = wh [ posi ] ;
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let old_b_i = b [ posi ] ;
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let old_ht_i = /* ht */ h_t [ posi ] ;
let sed = ( old_ht_i - old_b_i ) as f64 ;
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let posj = dh [ posi ] ;
if posj < 0 {
if posj = = - 1 {
panic! ( " Disconnected lake! " ) ;
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}
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if /* ht */ h_t [ posi ] > 0.0 {
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log ::warn! ( " Ocean above zero? " ) ;
}
// wh for oceans is always at least min_erosion_height.
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let uplift_i = uplift ( posi ) as Alt ;
// wh[posi] = min_erosion_height.max(ht[posi] + uplift_i);
wh [ posi ] = min_erosion_height . max ( /* ht[posi] + at[posi].max(0.0) */ h_t [ posi ] + uplift_i ) ;
// debug_assert!(wh[posi].is_normal() || wh[posi] == 0.0);
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lake_sill [ posi ] = posi as isize ;
lake_water_volume [ posi ] = 0.0 ;
// max_slopes[posi] = kd(posi);
// Egress with no outgoing flows.
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} else {
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// *is_done.at(posi) = done_val;
let posj = posj as usize ;
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// let dxy = (uniform_idx_as_vec2(posi) - uniform_idx_as_vec2(posj)).map(|e| e as f64);
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// Has an outgoing flow edge (posi, posj).
// flux(i) = k * A[i]^m / ((p(i) - p(j)).magnitude()), and δt = 1
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// let neighbor_distance = (neighbor_coef * dxy).magnitude();
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// Since the area is in meters^(2m) and neighbor_distance is in m, so long as m = 0.5,
// we have meters^(1) / meters^(1), so they should cancel out. Otherwise, we would
// want to multiply neighbor_distance by height_scale and area[posi] by
// height_scale^2, to make sure we were working in the correct units for dz
// (which has height_scale height unit = 1.0 meters).
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/* let uplift_i = uplift(posi) as f64;
assert! ( uplift_i . is_normal ( ) & & uplift_i = = 0.0 | | uplift_i . is_positive ( ) ) ; * /
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// h[i](t + dt) = (h[i](t) + δt * (uplift[i] + flux(i) * h[j](t + δt))) / (1 + flux(i) * δt).
// NOTE: posj has already been computed since it's downhill from us.
// Therefore, we can rely on wh being set to the water height for that node.
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// let h_j = h[posj] as f64;
// let a_j = a[posj] as f64;
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let wh_j = wh [ posj ] as f64 ;
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// let old_a_i = a[posi] as f64;
let old_h_i = h [ posi ] as f64 ;
let mut new_h_i = /* old_elev_i */ /* old_h_i + old_a_i.max(0.0) */ old_h_i /* h[posi] as f64 */ /* + uplift_i */ ;
/* let mut df_part;
let old_df_part = {
let uphill_alluvium_i =
deltah_alluvium [ posi ] - ( ( /* at[posi] + uplift_i - (hp[posi] - ht[posi] */ at [ posi ] ) - ap [ posi ] . max ( 0.0 ) /* at[posi] */ ) ;
/* let uphill_sediment_alluvium_i =
deltah_sediment [ posi ] + deltah_alluvium [ posi ] -
2.0 * ( old_h_after_uplift_i - ( hp [ posi ] + ap [ posi ] ) ) ; * /
let area_i = area [ posi ] as Compute ;
let g_i = g ( posi ) as Compute ;
// Make sure deposition coefficient doesn't result in more deposition than there
// actually was material to deposit. The current assumption is that as long as we
// are storing at most as much sediment as there actually was along the river, we
// are in the clear.
let g_i_ratio = ( g_i / area_i ) /* .min(1.0) */ ;
at [ posi ] . max ( 0.0 ) + uphill_alluvium_i * g_i_ratio
} ; * /
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// Only perform erosion if we are above the water level of the previous node.
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if old_elev_i > wh_j /* h_j */ /* h[posj] */ {
let mut dtherm = 0.0 f64 ;
/* {
// Thermal erosion (landslide)
let dxy = ( uniform_idx_as_vec2 ( posi ) - uniform_idx_as_vec2 ( posj ) ) . map ( | e | e as f64 ) ;
let neighbor_distance = ( neighbor_coef * dxy ) . magnitude ( ) ;
let dz = ( new_h_i - /* h_j */ /* h_k */ /* wh_j */ /* h_j */ wh_j . max ( hp [ posj ] ) ) . max ( 0.0 ) / height_scale /* * CONFIG.mountain_scale as f64 */ ;
let mag_slope = dz /* .abs() */ / neighbor_distance ;
let max_slope = max_slopes [ posi ] as f64 ;
if mag_slope > max_slope {
let dh = max_slope * neighbor_distance * height_scale /* / CONFIG.mountain_scale as f64 */ ;
// new_h_i = (ht[posi] as f64 + l_tot * (mag_slope - max_slope));
// new_h_i = new_h_i - l_tot * (mag_slope - max_slope);
let uplift_i = uplift ( posi ) as f64 ;
let g_i = g ( posi ) as f64 ;
dtherm = - ( ( l_tot * ( mag_slope - max_slope ) ) . min ( /* dh */ /* g_i * */ /* uplift_i */ /* max_uplift as f64 */ /* dz */ /* uplift_i */ /* (new_h_i + uplift_i - old_elev_i).abs() * 0.5 */ /* * 0.5 */ /* g_i * dz * 0.5 */ /* dz */ ( old_h_i + uplift_i - old_elev_i ) . abs ( ) * 0.5 ) ) ;
// new_h_i = hp[posj] + dh;
// new_h_i = /*old_h_i.max*/(/*wh_j*//*ht[posi] as Compute*//*h_j*/hp[posj]/*ht[posj] as Compute*/ + dh).max(new_h_i - l_tot * (mag_slope - max_slope));
if compute_stats /* && new_h_i > wh_j */ {
ntherm + = 1 ;
}
}
} * /
let h0 = old_elev_i + dtherm ;
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// hi(t + ∂t) = (hi(t) + ∂t(ui + kp^mAi^m(hj(t + ∂t)/||pi - pj||))) / (1 + ∂t * kp^mAi^m / ||pi - pj||)
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/* let k = if sed > sediment_thickness {
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// Sediment
// k_fs
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k_fs_mult_sed * kf ( posi )
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} else {
// Bedrock
// k_fb
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kf ( posi )
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} * dt ;
// let k = k * uplift_i / max_uplift as f64;
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let n = n_f ( posi ) as f64 ;
let m = m_f ( posi ) as f64 ; * /
let n = n_f ( posi ) as f64 ;
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// Fluvial erosion.
let k_df_fact = & k_df_fact [ posi ] ;
let k_fs_fact = & k_fs_fact [ posi ] ; // k * (p * chunk_area * area[posi] as f64).powf(m) / neighbor_distance.powf(n);
/* / / Multiply k_fs_fact by k_fs_mult_water for water.
let k_fs_fact = if h0 < wh_j {
k_fs_mult_ * k_fs_fact
} else {
k_fs_fact
} ; * /
// let elev_j = h_j/* + a_j.max(0.0)*/;
let new_ht_i = ( old_ht_i /* + uplift(posi) as f64 */ ) ;
if /* n == 1.0 */ ( n - 1.0 ) . abs ( ) < = 1.0e-3 /* f64::EPSILON */ & & ( q_ - 1.0 ) . abs ( ) < = 1.0e-3 {
let mut f = h0 ;
let mut df = 1.0 ;
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mrec_downhill ( & mrec , posi ) . for_each ( | ( kk , posj ) | {
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// This can happen in cases where receiver kk is neither uphill of
// nor downhill from posi's direct receiver.
if /* new_ht_i /* old_ht_i */ >= (h_t[posj] /* + uplift(posj) as f64 */ ) */ old_elev_i /* >= */ > wh [ posj ] as f64 /* h[posj] */ /* h_j */ {
let h_j = h [ posj ] as f64 ;
let elev_j = h_j /* + a_j.max(0.0) */ ;
/* let flux = /* k * (p * chunk_area * area[posi] as f64).powf(m) / neighbor_distance; */ k_fs_fact[kk] + k_df_fact[kk];
assert! ( flux . is_normal ( ) & & flux . is_positive ( ) | | flux = = 0.0 ) ;
new_h_i = ( /* new_h_i */ /* (old_elev_i + (new_h_i - old_h_i)) */ h0 + flux * elev_j ) / ( 1.0 + flux ) ; * /
let fact = k_fs_fact [ kk ] as f64 + k_df_fact [ kk ] as f64 ;
// let fact = k_fs_fact.extract(kk) as f64 + k_df_fact.extract(kk) as f64;
f + = fact * elev_j ;
df + = fact ;
}
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} ) ;
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new_h_i = f / df ;
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} else {
// Local Newton-Raphson
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let omega1 = 0.875 f64 * n ;
let omega2 = 0.875 f64 / q_ ; /* if q_ < 0.5 { 0.875f64 /* * q_ */ } else { 0.875f64 / q_ } */ ;
let omega = omega1 . max ( omega2 ) ;
let tolp = 1.0e-3 /* 1.0e-4 */ ;
let mut errp = 2.0 * tolp ;
// let h0 = old_elev_i + (new_h_i - old_h_i);
// let mut count = 0;
let mut max = 0 usize ;
/* let mut k_df_weights = [0.0; 8]; / / f64s(0.0); / / f64x8::splat(0.0);
let mut k_fs_weights = [ 0.0 ; 8 ] ; //f64s(0.0);//f64x8::splat(0.0);
let n_weights = simd_func ( n as SimdType - 1.0 ) ;
// let n_weights = f64s(n - 1.0);//f64x8::splat(n - 1.0);
let q__weights = simd_func ( q_ as SimdType - 1.0 ) ;
// let q_weights = f64s(q_ - 1.0);//f64x8::splat(q_ - 1.0);
let czero = simd_func ( 0.0 ) ;
// let czero = f64s(0.0);//f64x8::splat(0.0); */
let mut rec_heights = [ 0.0 ; 8 ] ; //f64s(0.0);//f64x8::splat(0.0);
let mut mask = [ MaskType ::new ( false ) ; 8 ] ;
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mrec_downhill ( & mrec , posi ) . for_each ( | ( kk , posj ) | {
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if old_elev_i > wh [ posj ] as f64 {
// k_fs_weights[kk] = k_fs_fact[kk] as SimdType;
// k_fs_weights[max] = k_fs_fact[kk] as SimdType;
// /*k_fs_weights = */k_fs_weights.replace(max, k_fs_fact[kk]/*.extract(kk)*/ as f64);
// k_df_weights[kk] = k_df_fact[kk] as SimdType;
// k_df_weights[max] = k_df_fact[kk] as SimdType;
// /*k_df_weights = */k_df_weights.replace(max, k_df_fact[kk]/*.extract(kk)*/ as f64);
mask [ kk ] = MaskType ::new ( true ) ;
rec_heights [ kk ] = h [ posj ] as SimdType ;
// rec_heights[max] = h[posj] as SimdType;
// /*rec_heights = */rec_heights.replace(max, h[posj] as f64);
// max += 1;
}
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} ) ;
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/* let (weights_heights, max) = {
let mut iter = mrec_downhill ( & mrec , posi ) ;
let mut max = 0 usize ;
let arr = arr! [
match iter . next ( ) {
Some ( ( kk , posj ) ) if old_elev_i > = wh [ posj ] = > {
max + = 1 ;
( k_fs_fact [ kk ] , k_df_fact [ kk ] , h [ posj ] )
} ,
_ = > ( 0.0 , 0.0 , 0.0 ) ,
} ; 8 ] ;
( arr , max )
} ; * /
assert! ( max < = 8 ) ;
/* let k_fs_weights = &k_fs_weights[..max];
let k_df_weights = & k_df_weights [ .. max ] ;
let rec_heights = & rec_heights [ .. max ] ;
let mut simd_buf = & mut simd_buf [ .. max ] ;
let mut simd_buf2 = & mut simd_buf2 [ .. max ] ;
let mut simd_buf3 = & mut simd_buf3 [ .. max ] ; * /
/* let czero = &czero[..max];
let n_weights = & n_weights [ .. max ] ;
let q__weights = & q__weights [ .. max ] ; * /
while errp > tolp {
// count += 1;
/* if count > -1 {
println! ( " posi= {:?} errp= {:?} tolp= {:?} h0= {:?} new_h_i= {:?} elev_j= {:?} area= {:?} " , posi , errp , tolp , h0 , new_h_i , elev_j , area [ posi ] ) ;
} * /
let mut f = new_h_i - h0 ;
let mut df = 1.0 ;
/* rec_heights.simd_iter(czero /* simd_func(0.0) */ )
. simd_map ( | elev_j | czero /* simd_func(0.0) */ . max ( new_h_i as SimdType - elev_j ) )
. scalar_fill ( & mut simd_buf ) ;
( k_fs_weights /* k_fs_fact */ . simd_iter ( czero /* simd_func(0.0) */ ) , simd_buf . simd_iter ( czero /* simd_func(0.0) */ ) )
. zip ( )
. simd_map ( | ( k_fs_fact , dh ) | k_fs_fact * dh . powf ( /* simd_func(n as SimdType - 1.0) */ n_weights ) )
. scalar_fill ( & mut simd_buf2 ) ;
( k_df_weights /* k_df_fact */ . simd_iter ( czero /* simd_func(0.0) */ ) , simd_buf . simd_iter ( czero /* simd_func(0.0) */ ) )
. zip ( )
. simd_map ( | ( k_df_fact , dh ) | k_df_fact * dh . powf ( /* simd_func(q_ as SimdType - 1.0) */ q__weights ) )
. scalar_fill ( & mut simd_buf3 ) ;
f + = ( simd_buf . simd_iter ( czero /* simd_func(0.0) */ ) , simd_buf2 . simd_iter ( czero /* simd_func(0.0) */ ) , simd_buf3 . simd_iter ( czero /* simd_func(0.0) */ ) )
. zip ( )
/* .simd_map(|(dh, k_fs_fact, k_df_fact)| (k_fs_fact + k_df_fact) * dh)
. simd_reduce ( czero /* simd_func(0.0) */ , | a , v | a + v ) * /
. simd_reduce ( czero /* simd_func(0.0) */ , | a , ( dh , k_fs_fact , k_df_fact ) | a + ( k_fs_fact + k_df_fact ) * dh )
. sum ( ) as f64 ;
df + = ( simd_buf2 . simd_iter ( czero /* simd_func(0.0) */ ) , simd_buf3 . simd_iter ( czero /* simd_func(0.0) */ ) )
. zip ( )
/* .simd_map(|(k_fs_fact, k_df_fact)| n as SimdType * k_fs_fact + q_ as SimdType * k_df_fact)
. simd_reduce ( czero /* simd_func(0.0) */ , | a , v | a + v ) * /
. simd_reduce ( czero /* simd_func(0.0) */ , | a , ( k_fs_fact , k_df_fact ) | n as SimdType * k_fs_fact + q_ as SimdType * k_df_fact )
. sum ( ) as f64 ; * /
/* f += (k_fs_weights.simd_iter(simd_func(0.0)), k_df_weights.simd_iter(simd_func(0.0)), simd_buf.simd_iter(simd_func(0.0)))
. zip ( )
. simd_map ( | ( k_fs_fact , k_df_fact , dh ) | {
// let dh = simd_func(0.0).max(new_h_i as SimdType - elev_j);
k_fs_fact * dh . powf ( simd_func ( n as SimdType ) ) + k_df_fact * dh . powf ( simd_func ( q_ as SimdType ) )
} )
. simd_reduce ( simd_func ( 0.0 ) , | a , v | a + v )
. sum ( ) as f64 ;
df + = ( k_fs_weights . simd_iter ( simd_func ( 0.0 ) ) , k_df_weights . simd_iter ( simd_func ( 0.0 ) ) , rec_heights . simd_iter ( simd_func ( 0.0 ) ) )
. zip ( )
. simd_map ( | ( k_fs_fact , k_df_fact , dh ) | {
// let dh = simd_func(0.0).max(new_h_i as SimdType - elev_j);
n as SimdType * k_fs_fact * dh . powf ( simd_func ( n as SimdType ) - 1.0 ) +
k_df_fact * q_ as SimdType * dh . powf ( simd_func ( q_ as SimdType - 1.0 ) )
} )
. simd_reduce ( simd_func ( 0.0 ) , | a , v | a + v )
. sum ( ) as f64 ; * /
/* let dh = (&rec_heights[..]).simd_iter(f64s(0.0))
. simd_map ( | elev_j | f64s ( 0.0 ) . max ( new_h_i - elev_j ) ) ;
let k_fs_fact =
( dh , ( & k_fs_weights [ .. ] ) . simd_iter ( f64s ( 0.0 ) ) )
. zip ( )
. simd_map ( | ( dh , k_fs_fact ) | k_fs_fact * dh . powf ( f64s ( n - 1.0 ) ) ) ;
let k_df_fact =
( dh , ( & k_df_weights [ .. ] ) . simd_iter ( f64s ( 0.0 ) ) )
. zip ( )
. simd_map ( | dh , k_df_fact | k_df_fact * dh . powf ( f64s ( q_ - 1.0 ) ) ) ;
f + = ( k_fs_fact , k_df_fact , dh )
. zip ( )
. simd_map ( | ( k_fs_fact , k_df_fact , dh ) | ( k_fs_fact + k_df_fact ) * dh )
. simd_reduce ( f64s ( 0.0 ) , | a , v | a + v )
. sum ( ) ;
df + = ( k_fs_fact , k_df_fact , dh )
. zip ( )
. simd_map ( | ( k_fs_fact , k_df_fact , dh ) | n * k_fs_fact + q_ * k_df_fact )
. simd_reduce ( f64s ( 0.0 ) , | a , v | a + v )
. sum ( ) ; * /
/* (k_fs_weights.simd_iter(f64s(0.0)), k_df_weights.simd_iter(f64s(0.0)), rec_heights.simd_iter(f64s(0.0)))
. zip ( )
. simd_map ( | k_fs_fact , k_df_fact , elev_j | {
f64s ( 0.0 ) . max ( new_h_i - elev_j )
} ) * /
/* let dh = (-rec_heights + new_h_i).max(czero);
let dh_fs_sample = k_fs_weights * dh . powf ( n_weights ) ;
let dh_df_sample = k_df_weights * dh . powf ( q_weights ) ;
f + = ( ( dh_fs_sample + dh_df_sample ) * dh ) . sum ( ) ;
df + = ( n * dh_fs_sample + q_ * dh_df_sample ) . sum ( ) ; * /
/* for kk in (0..max) {
let dh = 0. 0. max ( ( new_h_i - rec_heights [ kk ] ) /* .abs() */ ) ;
let dh_fs_sample = k_fs_weights [ kk ] * dh . powf ( n - 1.0 ) ;
let dh_df_sample = k_df_weights [ kk ] * dh . powf ( q_ - 1.0 ) ;
// Want: h_i(t+Δt) = h0 - fact * (h_i(t+Δt) - h_j(t+Δt))^n
// Goal: h_i(t+Δt) - h0 + fact * (h_i(t+Δt) - h_j(t+Δt))^n = 0
f + = ( dh_fs_sample + dh_df_sample ) * dh ;
// ∂h_i(t+Δt)/∂n = 1 + fact * n * (h_i(t+Δt) - h_j(t+Δt))^(n - 1)
df + = n * dh_fs_sample + q_ * dh_df_sample ;
} * /
/* for (k_fs_fact, k_df_fact, elev_j) in weights_heights.iter().take(max) {
let dh = 0. 0. max ( ( new_h_i - elev_j ) /* .abs() */ ) ;
let dh_fs_sample = k_fs_fact * dh . powf ( n - 1.0 ) ;
let dh_df_sample = k_df_fact * dh . powf ( q_ - 1.0 ) ;
// Want: h_i(t+Δt) = h0 - fact * (h_i(t+Δt) - h_j(t+Δt))^n
// Goal: h_i(t+Δt) - h0 + fact * (h_i(t+Δt) - h_j(t+Δt))^n = 0
f + = ( dh_fs_sample + dh_df_sample ) * dh ;
// ∂h_i(t+Δt)/∂n = 1 + fact * n * (h_i(t+Δt) - h_j(t+Δt))^(n - 1)
df + = n * dh_fs_sample + q_ * dh_df_sample ;
} * /
/* for (kk, posj) in mrec_downhill(&mrec, posi) {
if /* new_ht_i /* old_ht_i */ > (h_t[posj] /* + uplift(posj) as f64 */ ) */ old_elev_i /* >= */ > wh [ posj ] as f64 /* h[posj] */ /* h_j */ {
let h_j = h [ posj ] as /* f64 */ SimdType ;
let elev_j = h_j /* + a_j.max(0.0) */ ;
let dh = 0. 0. max ( ( new_h_i as SimdType - elev_j ) /* .abs() */ ) ;
let dh_fs_sample = k_fs_fact [ kk ] as /* f64 */ SimdType * dh . powf ( n as SimdType - 1.0 ) ;
let dh_df_sample = k_df_fact [ kk ] as /* f64 */ SimdType * dh . powf ( q_ as SimdType - 1.0 ) ;
// Want: h_i(t+Δt) = h0 - fact * (h_i(t+Δt) - h_j(t+Δt))^n
// Goal: h_i(t+Δt) - h0 + fact * (h_i(t+Δt) - h_j(t+Δt))^n = 0
f + = ( ( dh_fs_sample + dh_df_sample ) * dh ) as f64 ;
// ∂h_i(t+Δt)/∂n = 1 + fact * n * (h_i(t+Δt) - h_j(t+Δt))^(n - 1)
df + = ( n as SimdType * dh_fs_sample + q_ as SimdType * dh_df_sample ) as f64 ;
}
} * /
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( 0 .. 8 ) . for_each ( | kk | {
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//if /*new_ht_i/*old_ht_i*/ > (h_t[posj]/* + uplift(posj) as f64*/)*/old_elev_i /*>=*/> wh[posj] as f64/*h[posj]*//*h_j*/ {
if mask [ kk ] . test ( ) {
let h_j = rec_heights [ kk ] ;
let elev_j = h_j /* + a_j.max(0.0) */ ;
let dh = 0. 0. max ( ( new_h_i as SimdType - elev_j ) /* .abs() */ ) ;
let dh_fs_sample = k_fs_fact [ kk ] as /* f64 */ SimdType * dh . powf ( n as SimdType - 1.0 ) ;
let dh_df_sample = k_df_fact [ kk ] as /* f64 */ SimdType * dh . powf ( q_ as SimdType - 1.0 ) ;
// Want: h_i(t+Δt) = h0 - fact * (h_i(t+Δt) - h_j(t+Δt))^n
// Goal: h_i(t+Δt) - h0 + fact * (h_i(t+Δt) - h_j(t+Δt))^n = 0
f + = ( ( dh_fs_sample + dh_df_sample ) * dh ) as f64 ;
// ∂h_i(t+Δt)/∂n = 1 + fact * n * (h_i(t+Δt) - h_j(t+Δt))^(n - 1)
df + = ( n as SimdType * dh_fs_sample + q_ as SimdType * dh_df_sample ) as f64 ;
}
//}
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} ) ;
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/* for (kk, posj) in mrec_downhill(&mrec, posi) {
if /* new_ht_i /* old_ht_i */ > (h_t[posj] /* + uplift(posj) as f64 */ ) */ old_elev_i /* >= */ > wh [ posj ] as f64 /* h[posj] */ /* h_j */ {
let h_j = h [ posj ] as f64 ;
let elev_j = h_j /* + a_j.max(0.0) */ ;
let dh = 0. 0. max ( ( new_h_i - elev_j ) /* .abs() */ ) ;
let dh_fs_sample = k_fs_fact . extract ( kk ) as f64 * dh . powf ( n - 1.0 ) ;
let dh_df_sample = k_df_fact . extract ( kk ) as f64 * dh . powf ( q_ - 1.0 ) ;
// Want: h_i(t+Δt) = h0 - fact * (h_i(t+Δt) - h_j(t+Δt))^n
// Goal: h_i(t+Δt) - h0 + fact * (h_i(t+Δt) - h_j(t+Δt))^n = 0
f + = ( dh_fs_sample + dh_df_sample ) * dh ;
// ∂h_i(t+Δt)/∂n = 1 + fact * n * (h_i(t+Δt) - h_j(t+Δt))^(n - 1)
df + = n * dh_fs_sample + q_ * dh_df_sample ;
}
} * /
// hn = h_i(t+Δt, k) - (h_i(t+Δt, k) - (h0 - fact * (h_i(t+Δt, k) - h_j(t+Δt))^n)) / ∂h_i/∂n(t+Δt, k)
let hn = new_h_i - f / df ;
// errp = |(h_i(t+Δt, k) - (h0 - fact * (h_i(t+Δt, k) - h_j(t+Δt))^n)) / ∂h_i/∂n(t+Δt, k)|
errp = ( hn - new_h_i ) . abs ( ) ;
// h_i(t+∆t, k+1) = ...
new_h_i = new_h_i * ( 1.0 - omega ) + hn * omega ;
}
// Correct new_h_i to keep it at or under h0.
/* if h0 < new_h_i {
println! ( " Huh? h0= {:?} , new_h_i= {:?} , " , h0 , new_h_i ) ;
// debug_assert!(new_h_i <= h0);
} * /
new_h_i = h0 . min ( new_h_i ) ;
/* let omega = 0.875f64 / n;
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let tolp = 1.0e-3 ;
let mut errp = 2.0 * tolp ;
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// let h0 = old_elev_i;
let fact = k_fs_fact [ posi ] ; // k * (p * chunk_area * area[posi] as f64).powf(m) / neighbor_distance.powf(n);
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while errp > tolp {
let mut f = new_h_i - h0 ;
let mut df = 1.0 ;
// Want: h_i(t+Δt) = h0 - fact * (h_i(t+Δt) - h_j(t+Δt))^n
// Goal: h_i(t+Δt) - h0 + fact * (h_i(t+Δt) - h_j(t+Δt))^n = 0
f + = fact * 0. 0. max ( new_h_i - h_j ) . powf ( n ) ;
// ∂h_i(t+Δt)/∂n = 1 + fact * n * (h_i(t+Δt) - h_j(t+Δt))^(n - 1)
df + = fact * n * 0. 0. max ( new_h_i - h_j ) . powf ( n - 1.0 ) ;
// hn = h_i(t+Δt, k) - (h_i(t+Δt, k) - (h0 - fact * (h_i(t+Δt, k) - h_j(t+Δt))^n)) / ∂h_i/∂n(t+Δt, k)
let hn = new_h_i - f / df ;
// errp = |(h_i(t+Δt, k) - (h0 - fact * (h_i(t+Δt, k) - h_j(t+Δt))^n)) / ∂h_i/∂n(t+Δt, k)|
errp = ( hn - new_h_i ) . abs ( ) ;
// h_i(t+∆t, k+1) = ...
new_h_i = new_h_i * ( 1.0 - omega ) + hn * omega ;
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} * /
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/* omega=0.875d0 / n
tolp = 1. d - 3
errp = 2. d0 * tolp
h0 = elev ( ijk )
do while ( errp . gt . tolp )
f = h ( ijk ) - h0
df = 1. d0
if ( ht ( ijk ) . gt . ht ( ijr ) ) then
fact = kfint ( ijk ) * dt * a ( ijk ) * * m / length ( ijk ) * * n
f = f + fact * max ( 0. d0 , h ( ijk ) - h ( ijr ) ) * * n
df = df + fact * n * max ( 0. d0 , h ( ijk ) - h ( ijr ) ) * * ( n - 1. d0 )
endif
hn = h ( ijk ) - f / df
errp = abs ( hn - h ( ijk ) )
h ( ijk ) = h ( ijk ) * ( 1. d0 - omega ) + hn * omega
enddo * /
}
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// df_part = old_df_part - k_df_fact * 0.0.max((new_h_i - elev_j)/*.abs()*/).powf(q_);
// df_part = old_df_part;// - k_df_fact * 0.0.max((new_h_i - elev_j)/*.abs()*/).powf(q_);
/* / / Debris flow erosion.
{
let omega = 0.875 f64 / q_ ;
let tolp = 1.0e-3 ;
let mut errp = 2.0 * tolp ;
// let h0 = new_h_i;
let fact = k_df_fact [ posi ] ; // k * (p * chunk_area * area[posi] as f64).powf(m) / neighbor_distance.powf(n);
while errp > tolp {
let mut f = new_h_i - h0 ;
let mut df = 1.0 ;
// Want: h_i(t+Δt) = h0 - fact * (h_i(t+Δt) - h_j(t+Δt))^n
// Goal: h_i(t+Δt) - h0 + fact * (h_i(t+Δt) - h_j(t+Δt))^n = 0
f + = fact * 0. 0. max ( new_h_i - h_j ) . powf ( q_ ) ;
// ∂h_i(t+Δt)/∂n = 1 + fact * n * (h_i(t+Δt) - h_j(t+Δt))^(n - 1)
df + = fact * n * 0. 0. max ( new_h_i - h_j ) . powf ( q_ - 1.0 ) ;
// hn = h_i(t+Δt, k) - (h_i(t+Δt, k) - (h0 - fact * (h_i(t+Δt, k) - h_j(t+Δt))^n)) / ∂h_i/∂n(t+Δt, k)
let hn = new_h_i - f / df ;
// errp = |(h_i(t+Δt, k) - (h0 - fact * (h_i(t+Δt, k) - h_j(t+Δt))^n)) / ∂h_i/∂n(t+Δt, k)|
errp = ( hn - new_h_i ) . abs ( ) ;
// h_i(t+∆t, k+1) = ...
new_h_i = new_h_i * ( 1.0 - omega ) + hn * omega ;
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}
} * /
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/* {
// Thermal erosion (landslide)
let dxy = ( uniform_idx_as_vec2 ( posi ) - uniform_idx_as_vec2 ( posj ) ) . map ( | e | e as f64 ) ;
let neighbor_distance = ( neighbor_coef * dxy ) . magnitude ( ) ;
let dz = ( new_h_i - /* h_j */ /* h_k */ /* wh_j */ /* h_j */ wh_j /* .max(hp[posj]) */ ) . max ( 0.0 ) / height_scale /* * CONFIG.mountain_scale as f64 */ ;
let mag_slope = dz /* .abs() */ / neighbor_distance ;
let max_slope = max_slopes [ posi ] as f64 ;
if mag_slope > max_slope {
let dh = max_slope * neighbor_distance * height_scale /* / CONFIG.mountain_scale as f64 */ ;
// new_h_i = (ht[posi] as f64 + l_tot * (mag_slope - max_slope));
// new_h_i = new_h_i - l_tot * (mag_slope - max_slope);
let uplift_i = uplift ( posi ) as f64 ;
let g_i = g ( posi ) as f64 ;
let dtherm =
//(l_tot * (mag_slope - max_slope)).min(/*dh*//*g_i * *//*uplift_i*//*max_uplift as f64*/dz/*uplift_i*//*(new_h_i/* + uplift_i*/ - /*old_h_i*/old_ht_i)*/./*abs()*/max(0.0) * 0.5/* * 0.5*//*g_i * dz * 0.5*/);
0.0 ;
new_h_i = new_h_i - dtherm ;
// new_h_i = hp[posj] + dh;
// new_h_i = /*old_h_i.max*/(/*wh_j*//*ht[posi] as Compute*//*h_j*/hp[posj]/*ht[posj] as Compute*/ + dh).max(new_h_i - l_tot * (mag_slope - max_slope));
if compute_stats /* && new_h_i > wh_j */ {
ntherm + = 1 ;
prodscrit_therm + = max_slope . ln ( ) ;
prods_therm + = mag_slope . ln ( ) ;
}
}
} * /
lake_sill [ posi ] = posi as isize ;
lake_water_volume [ posi ] = 0.0 ;
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// If we dipped below the receiver's water level, set our height to the receiver's
// water level.
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if new_h_i < = wh_j /* elev_j */ /* h[posj] */ {
if compute_stats {
ncorr + = 1 ;
}
/* lake_sill[posi] = posi as isize;
lake_water_volume [ posi ] = 0.0 ; * /
// h_[posi] = wh_j* (1.0 - uchaos):;
// new_h_i = elev_j/* + <Alt as Float>::epsilon()*/;
// NOTE: Why wh_j?
// Because in the next round, if the old height is still wh_j or under, it
// will be set precisely equal to the estimated height, meaning it
// effectively "vanishes" and just deposits sediment to its reciever.
// (This is probably related to criteria for block Gauss-Seidel, etc.).
new_h_i = /* h[posj]; */ wh_j ; // - df_part.max(0.0);
// df_part = 0.0;
/* let lposj = lake_sill[posj];
lake_sill [ posi ] = lposj ;
// TODO: Delete?
lake_water_volume [ posi ] = 0.0 ;
if lposj > = 0 {
let lposj = lposj as usize ;
lake_water_volume [ lposj ] + = wh_j - new_h_i ;
} * /
} /* else if new_h_i <= wh_j {
// new_h_i = wh_j;
/* / / new_h_i = elev_j; /* + <Alt as Float>::epsilon(); */
let lposj = lake_sill [ posj ] ;
lake_sill [ posi ] = lposj ;
// TODO: Delete?
lake_water_volume [ posi ] = 0.0 ;
if lposj > = 0 {
let lposj = lposj as usize ;
lake_water_volume [ lposj ] + = wh_j - new_h_i ;
// println!("lake_sill[{:?}] = {:?}", posi, lposj);
} * /
} * //*else if new_h_i - df_part.max(0.0) <= wh_j {
if compute_stats {
ncorr + = 1 ;
}
// df_part = 0.0;
// df_part = (new_h_i - wh_j).max(0.0);
// df_part = (new_h_i - wh_j).max(0.0);
h_ [ posi ] = new_h_i ;
df_part = new_h_i - wh_j ;
new_h_i = wh_j ; // - df_part.max(0.0);
// new_h_i = wh_j;
} * / else {
/* lake_sill[posi] = posi as isize;
lake_water_volume [ posi ] = 0.0 ; * /
// h_[posi] = new_h_i;
// new_h_i -= df_part.max(0.0);
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if compute_stats & & new_h_i > 0.0 {
let dxy = ( uniform_idx_as_vec2 ( posi ) - uniform_idx_as_vec2 ( posj ) ) . map ( | e | e as f64 ) ;
let neighbor_distance = ( neighbor_coef * dxy ) . magnitude ( ) ;
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let dz = ( new_h_i - /* h_j */ /* h_k */ wh_j ) . max ( 0.0 ) /* / height_scale */ /* * CONFIG.mountain_scale as f64 */ ;
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let mag_slope = dz /* .abs() */ / neighbor_distance ;
nland + = 1 ;
sumsed_land + = sed ;
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// suma_land += df_part;
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sumh + = new_h_i ;
sums + = mag_slope ;
}
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}
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} else {
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// df_part = old_df_part;
// df_part = old_a_i;
// h_[posi] = old_elev_i;
// new_h_i = old_elev_i - df_part.max(0.0);
new_h_i = old_elev_i ;
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let lposj = lake_sill [ posj ] ;
lake_sill [ posi ] = lposj ;
if lposj > = 0 {
let lposj = lposj as usize ;
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lake_water_volume [ lposj ] + = ( wh_j - old_elev_i ) as Compute ;
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}
}
// Set max_slope to this node's water height (max of receiver's water height and
// this node's height).
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wh [ posi ] = wh_j . max ( new_h_i /* + df_part.max(0.0) */ ) as Alt ;
/* if (wh[posi] - wh_j.max(h_[posi])).abs() > 1.0e-4 {
println! ( " deltah_sediment: {:?} , deltah_alluvium: {:?} , deltah: {:?} , hp: {:?} , ap: {:?} , h_p: {:?} , ht: {:?} , at: {:?} , h: {:?} , a: {:?} , h_: {:?} , wh_i: {:?} , wh_j: {:?} " ,
deltah_sediment [ posi ] , deltah_alluvium [ posi ] , deltah [ posi ] ,
hp [ posi ] , ap [ posi ] , h_p [ posi ] ,
ht [ posi ] , at [ posi ] ,
h [ posi ] , a [ posi ] , h_ [ posi ] ,
wh [ posi ] , wh_j ) ;
debug_assert_eq! ( wh [ posi ] , wh_j . max ( h_ [ posi ] ) ) ;
} * /
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// Prevent erosion from dropping us below our receiver, unless we were already below it.
// new_h_i = h_j.min(old_h_i + uplift_i).max(new_h_i);
// Find out if this is a lake bottom.
/* let indirection_idx = indirection[posi];
let is_lake_bottom = indirection_idx < 0 ;
let _fake_neighbor = is_lake_bottom & & dxy . x . abs ( ) > 1.0 & & dxy . y . abs ( ) > 1.0 ;
// Test the slope.
let max_slope = max_slopes [ posi ] as f64 ;
// Hacky version of thermal erosion: only consider lowest neighbor, don't redistribute
// uplift to other neighbors.
let ( posk , h_k ) = /* neighbors(posi)
. filter ( | & posk | * is_done . at ( posk ) = = done_val )
// .filter(|&posk| *is_done.at(posk) == done_val || is_ocean(posk))
. map ( | posk | ( posk , h [ posk ] as f64 ) )
// .filter(|&(posk, h_k)| *is_done.at(posk) == done_val || h_k < 0.0)
. min_by ( | & ( _ , a ) , & ( _ , b ) | a . partial_cmp ( & b ) . unwrap ( ) )
. unwrap_or ( ( posj , h_j ) ) ; * /
( posj , h_j ) ;
// .max(h_j);
let ( posk , h_k ) = if h_k < h_j {
( posk , h_k )
} else {
( posj , h_j )
} ;
let dxy = ( uniform_idx_as_vec2 ( posi ) - uniform_idx_as_vec2 ( posk ) ) . map ( | e | e as f64 ) ;
let neighbor_distance = ( neighbor_coef * dxy ) . magnitude ( ) ;
let dz = ( new_h_i - /* h_j */ h_k ) . max ( 0.0 ) / height_scale /* * CONFIG.mountain_scale as f64 */ ;
let mag_slope = dz /* .abs() */ / neighbor_distance ; * /
// If you're on the lake bottom and not right next to your neighbor, don't compute a
// slope.
if
/* !is_lake_bottom */ /* !fake_neighbor */
true {
/* if
/* !is_lake_bottom && */
mag_slope > max_slope {
// println!("old slope: {:?}, new slope: {:?}, dz: {:?}, h_j: {:?}, new_h_i: {:?}", mag_slope, max_slope, dz, h_j, new_h_i);
// Thermal erosion says this can't happen, so we reduce dh_i to make the slope
// exactly max_slope.
// max_slope = (old_h_i + dh - h_j) / height_scale/* * CONFIG.mountain_scale */ / NEIGHBOR_DISTANCE
// dh = max_slope * NEIGHBOR_DISTANCE * height_scale/* / CONFIG.mountain_scale */ + h_j - old_h_i.
let dh = max_slope * neighbor_distance * height_scale /* / CONFIG.mountain_scale as f64 */ ;
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new_h_i = /* h_j.max */ ( h_k + dh ) . max ( new_h_i - l_tot * ( mag_slope - max_slope ) ) ;
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let dz = ( new_h_i - /* h_j */ h_k ) . max ( 0.0 ) / height_scale /* * CONFIG.mountain_scale as f64 */ ;
let slope = dz /* .abs() */ / neighbor_distance ;
sums + = slope ;
/* max_slopes[posi] = /* (mag_slope - max_slope) * */ kd(posi);
sums + = mag_slope ; * /
// let slope = dz.signum() * max_slope;
// new_h_i = slope * neighbor_distance * height_scale /* / CONFIG.mountain_scale as f64 */ + h_j;
// sums += max_slope;
} else {
// max_slopes[posi] = 0.0;
sums + = mag_slope ;
// Just use the computed rate.
} * /
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h [ posi ] = new_h_i as Alt ;
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// a[posi] = df_part as Alt;
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// Make sure to update the basement as well!
// b[posi] = (old_b_i + uplift_i).min(new_h_i) as f32;
}
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}
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// *is_done.at(posi) = done_val;
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if compute_stats {
sumsed + = sed ;
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// suma += a[posi];
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let h_i = h [ posi ] ;
if h_i > 0.0 {
minh = h_i . min ( minh ) ;
}
maxh = h_i . max ( maxh ) ;
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}
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/* if (h_[posi] - (h[posi] + a[posi].max(0.0))).abs() > 1.0e-6 {
println! ( " posi: {:?} , dh: {:?} , deltah_sediment: {:?} , deltah_alluvium: {:?} , deltah: {:?} , hp: {:?} , ap: {:?} , h_p: {:?} , ht: {:?} , at: {:?} , h: {:?} , a: {:?} , h_: {:?} " ,
posi , dh [ posi ] ,
deltah_sediment [ posi ] , deltah_alluvium [ posi ] , deltah [ posi ] ,
hp [ posi ] , ap [ posi ] , h_p [ posi ] ,
ht [ posi ] , at [ posi ] ,
h [ posi ] , a [ posi ] , h_ [ posi ] ,
) ;
debug_assert_eq! ( h [ posi ] + a [ posi ] . max ( 0.0 ) , h_ [ posi ] ) ;
} * /
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// Add sum of squares of errors.
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sum_err + = ( h [ posi ] /* .max(wh[posi]) */ as Compute /* + a[posi].max(0.0) as Compute */ - /* hp */ h_p [ posi ] as Compute /* - ap[posi].max(0.0) as Compute */ ) . powi ( 2 ) ;
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} ) ;
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log ::debug! (
" (Done erosion computation, time={:?}ms) " ,
start_time . elapsed ( ) . as_millis ( )
) ;
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err = ( sum_err / /* newh */ mstack . len ( ) as Compute ) . sqrt ( ) ;
/* if max_g == 0.0 {
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err = 0.0 ;
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} * /
if n_gs_stream_power_law = = max_n_gs_stream_power_law {
log ::warn! (
" Beware: Gauss-Siedel scheme not convergent: err={:?}, expected={:?} " ,
err ,
tol
) ;
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}
}
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//b=min(h,b)
// update the basement
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//
// NOTE: Despite this not quite applying since basement order and height order differ, we once
// again borrow the implicit FastScape stack order. If this becomes a problem we can easily
// compute a separate stack order just for basement.
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/* for &posi in & * newh {
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let posi = posi as usize ;
let old_b_i = b [ posi ] ;
let h_i = h [ posi ] ;
let uplift_i = uplift ( posi ) as Alt ;
// First, add uplift...
let mut new_b_i = ( old_b_i + uplift_i ) . min ( h_i ) ;
let posj = dh [ posi ] ;
// Sediment height normal to bedrock. NOTE: Currently we can actually have sedment and
// bedrock slope at different heights, meaning there's no uniform slope. There are
// probably more correct ways to account for this, such as averaging, integrating, or doing
// things by mass / volume instead of height, but for now we use the time-honored
// technique of ignoring the problem.
let h_normal = if posj < 0 {
// Egress with no outgoing flows; for now, we assume this means normal and vertical
// coincide.
( h_i - new_b_i ) as f64
} else {
let posj = posj as usize ;
let b_j = b [ posj ] ;
let dxy = ( uniform_idx_as_vec2 ( posi ) - uniform_idx_as_vec2 ( posj ) ) . map ( | e | e as f64 ) ;
let neighbor_distance_squared = ( neighbor_coef * dxy ) . magnitude_squared ( ) ;
let vertical_sed = ( h_i - new_b_i ) as f64 ;
let db = ( new_b_i - b_j ) as f64 ;
// H_i_fact = (b_i - b_j) / (||p_i - p_j||^2 + (b_i - b_j)^2)
let h_i_fact = db / ( neighbor_distance_squared + db * db ) ;
let h_i_vertical = 1.0 - h_i_fact * db ;
// ||H_i|| = (h_i - b_i) * √((H_i_fact^2 * ||p_i - p_j||^2 + (1 - H_i_fact * (b_i - b_j))^2))
vertical_sed * ( h_i_fact * h_i_fact * neighbor_distance_squared + h_i_vertical * h_i_vertical ) . sqrt ( )
} ;
// Rate of sediment production: -∂z_b / ∂t = ε₀ * e^(-α H)
let p_i = epsilon_0_tot * f64 ::exp ( - alpha * h_normal ) ;
// println!("h_normal = {:?}, p_i = {:?}", h_normal, p_i);
new_b_i - = p_i as Alt ;
b [ posi ] = new_b_i ;
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} * /
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// TODO: Consider taking advantage of multi-receiver flow here.
b . par_iter_mut ( )
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. zip_eq ( h . par_iter ( ) )
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. enumerate ( )
. for_each ( | ( posi , ( mut b , & h_i ) ) | {
let old_b_i = * b ;
let uplift_i = uplift ( posi ) as Alt ;
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// First, add uplift...
/* let mut new_b_i = (old_b_i + uplift_i).min(h_i); */
let mut new_b_i = old_b_i + uplift_i ;
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let posj = dh [ posi ] ;
// Sediment height normal to bedrock. NOTE: Currently we can actually have sedment and
// bedrock slope at different heights, meaning there's no uniform slope. There are
// probably more correct ways to account for this, such as averaging, integrating, or doing
// things by mass / volume instead of height, but for now we use the time-honored
// technique of ignoring the problem.
let vertical_sed = ( h_i - new_b_i ) . max ( 0.0 ) as f64 ;
let h_normal = if posj < 0 {
// Egress with no outgoing flows; for now, we assume this means normal and vertical
// coincide.
vertical_sed
} else {
let posj = posj as usize ;
let h_j = h [ posj ] ;
let dxy = ( uniform_idx_as_vec2 ( posi ) - uniform_idx_as_vec2 ( posj ) ) . map ( | e | e as f64 ) ;
let neighbor_distance_squared = ( neighbor_coef * dxy ) . magnitude_squared ( ) ;
let dh = ( h_i - h_j ) as f64 ;
// H_i_fact = (h_i - h_j) / (||p_i - p_j||^2 + (h_i - h_j)^2)
let h_i_fact = dh / ( neighbor_distance_squared + dh * dh ) ;
let h_i_vertical = 1.0 - h_i_fact * dh ;
// ||H_i|| = (h_i - b_i) * √((H_i_fact^2 * ||p_i - p_j||^2 + (1 - H_i_fact * (h_i - h_j))^2))
vertical_sed
* ( h_i_fact * h_i_fact * neighbor_distance_squared
+ h_i_vertical * h_i_vertical )
. sqrt ( )
} ;
// Rate of sediment production: -∂z_b / ∂t = ε₀ * e^(-α H)
let p_i = epsilon_0 ( posi ) as f64 * dt * f64 ::exp ( - alpha ( posi ) as f64 * h_normal ) ;
// println!("h_normal = {:?}, p_i = {:?}", h_normal, p_i);
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new_b_i - = p_i as Alt ;
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// Clamp basement so it doesn't exceed height.
new_b_i = new_b_i . min ( h_i ) ;
* b = new_b_i ;
} ) ;
log ::debug! ( " Done updating basement and applying soil production... " ) ;
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// update the height to reflect sediment flux.
h . par_iter_mut ( ) . enumerate ( ) . for_each ( | ( posi , mut h ) | {
let lposi = lake_sill [ posi ] ;
if lposi > = 0 {
let lposi = lposi as usize ;
if lake_water_volume [ lposi ] > 0.0 {
// +max(0.d0,min(lake_sediment(lake_sill(ij)),lake_water_volume(lake_sill(ij))))/
// lake_water_volume(lake_sill(ij))*(water(ij)-h(ij))
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* h + = ( 0. 0. max (
/* lake_sediment[lposi] */ lake_silt [ posi ] . min ( lake_water_volume [ lposi ] ) ,
) / lake_water_volume [ lposi ]
* ( wh [ posi ] /* - a[posi].max(0.0) */ - * h ) as Compute )
as Alt ;
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}
}
} ) ;
// do ij=1,nn
// if (lake_sill(ij).ne.0) then
// if (lake_water_volume(lake_sill(ij)).gt.0.d0) h(ij)=h(ij) &
// +max(0.d0,min(lake_sediment(lake_sill(ij)),lake_water_volume(lake_sill(ij))))/ &
// lake_water_volume(lake_sill(ij))*(water(ij)-h(ij))
// endif
// enddo
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/* a.par_iter_mut().enumerate().for_each(|(posi, mut a)| {
let lposi = lake_sill [ posi ] ;
if lposi > = 0 {
let lposi = lposi as usize ;
let sed_flux = ( 0. 0. max ( lake_sediment [ lposi ] . min ( lake_water_volume [ lposi ] ) ) ) ;
let volume = lake_water_volume [ lposi ] - sed_flux ;
if volume > 0.0 {
// +max(0.d0,min(lake_sediment(lake_sill(ij)),lake_water_volume(lake_sill(ij))))/
// lake_water_volume(lake_sill(ij))*(water(ij)-h(ij))
* a + =
( 0. 0. max ( lake_alluvium [ lposi ] . min ( volume ) ) /
lake_water_volume [ lposi ] *
( wh [ posi ] - h [ posi ] - ( * a ) . max ( 0.0 ) ) as Compute ) as Alt ;
}
}
* a = a . max ( 0.0 ) ;
} ) ; * /
log ::debug! (
" Done applying stream power (max height: {:?}) (avg height: {:?}) (min height: {:?}) (avg slope: {:?}) \n \
( above talus angle , geom . mean slope [ actual / critical / ratio ] : { :? } / { :? } / { :? } ) \ n \
( old avg alluvium thickness [ all / land ] : { :? } / { :? } ) \ n \
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( old avg sediment thickness [ all / land ] : { :? } / { :? } ) \ n \
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( num land : { :? } ) ( num thermal : { :? } ) ( num corrected : { :? } ) " ,
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maxh ,
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avgz ( sumh , nland ) ,
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minh ,
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avgz ( sums , nland ) ,
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geomz ( prods_therm , ntherm ) ,
geomz ( prodscrit_therm , ntherm ) ,
geomz ( prods_therm - prodscrit_therm , ntherm ) ,
avgz ( suma , newh . len ( ) ) ,
avgz ( suma_land , nland ) ,
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avgz ( sumsed , newh . len ( ) ) ,
avgz ( sumsed_land , nland ) ,
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nland ,
ntherm ,
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ncorr ,
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) ;
// Apply thermal erosion.
maxh = 0.0 ;
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minh = < Alt as Float > ::infinity ( ) ;
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sumh = 0.0 ;
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sums = 0.0 ;
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sumsed = 0.0 ;
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suma = 0.0 ;
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sumsed_land = 0.0 ;
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suma_land = 0.0 ;
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nland = 0 usize ;
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ncorr = 0 usize ;
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ntherm = 0 usize ;
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prods_therm = 0.0 ;
prodscrit_therm = 0.0 ;
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newh . iter ( ) . for_each ( | & posi | {
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let posi = posi as usize ;
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let old_h_i = h /* b */ [ posi ] as f64 ;
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// let old_a_i = a[posi];
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let old_b_i = b [ posi ] as f64 ;
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let sed = ( old_h_i - old_b_i ) as f64 ;
let max_slope = max_slopes [ posi ] ;
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// Remember k_d for this chunk in max_slopes.
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// higher max_slope => much lower kd_factor.
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let kd_factor =
// 1.0;
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( 1.0 / ( max_slope / mid_slope /* .sqrt() */ /* .powf(0.03125) */ ) . powf ( /* 2.0 */ 2.0 ) ) /* .min(kdsed) */ ;
max_slopes [ posi ] = if sed > sediment_thickness & & kdsed > 0.0 {
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// Sediment
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kdsed /* * kd_factor */
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} else {
// Bedrock
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kd ( posi ) /* / kd_factor */
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} ;
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let posj = dh [ posi ] ;
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if posj < 0 {
if posj = = - 1 {
panic! ( " Disconnected lake! " ) ;
}
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// wh for oceans is always at least min_erosion_height.
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// let uplift_i = uplift(posi) as Alt;
// wh[posi] = min_erosion_height.max(ht[posi] + uplift_i);
wh [ posi ] = min_erosion_height . max (
/* ht[posi] + at[posi].max(0.0) */ /* h_t[posi] + uplift_i */ old_h_i as Alt ,
) ;
// Egress with no outgoing flows.
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} else {
let posj = posj as usize ;
// Find the water height for this chunk's receiver; we only apply thermal erosion
// for chunks above water.
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let mut wh_j = wh [ posj ] as f64 ;
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// If you're on the lake bottom and not right next to your neighbor, don't compute a
// slope.
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let mut new_h_i = /* old_h_i */ /* old_h_i + old_a_i.max(0.0) */ old_h_i ; /* old_b_i; */
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if
/* !is_lake_bottom */ /* !fake_neighbor */
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wh_j < old_h_i
/* + old_a_i.max(0.0) */
{
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// NOTE: Currently assuming that talus angle is not eroded once the substance is
// totally submerged in water, and that talus angle if part of the substance is
// in water is 0 (or the same as the dry part, if this is set to wh_j), but
// actually that's probably not true.
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let old_h_j = ( h [ posj ] /* + a[posj].max(0.0) */ ) as f64 ;
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let h_j = /* h[posj] as f64 */ /* wh_j */ old_h_j ;
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// let h_j = b[posj] as f64;
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/* let indirection_idx = indirection[posi];
let is_lake_bottom = indirection_idx < 0 ;
let _fake_neighbor = is_lake_bottom & & dxy . x . abs ( ) > 1.0 & & dxy . y . abs ( ) > 1.0 ; * /
// Test the slope.
// Hacky version of thermal erosion: only consider lowest neighbor, don't redistribute
// uplift to other neighbors.
let ( posk , h_k ) = /* neighbors(posi)
. filter ( | & posk | * is_done . at ( posk ) = = done_val )
// .filter(|&posk| *is_done.at(posk) == done_val || is_ocean(posk))
. map ( | posk | ( posk , h [ posk ] as f64 ) )
// .filter(|&(posk, h_k)| *is_done.at(posk) == done_val || h_k < 0.0)
. min_by ( | & ( _ , a ) , & ( _ , b ) | a . partial_cmp ( & b ) . unwrap ( ) )
. unwrap_or ( ( posj , h_j ) ) ; * /
( posj , h_j ) ;
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// .max(h_j);
let ( posk , h_k ) = if h_k < h_j { ( posk , h_k ) } else { ( posj , h_j ) } ;
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let dxy = ( uniform_idx_as_vec2 ( posi ) - uniform_idx_as_vec2 ( posk ) ) . map ( | e | e as f64 ) ;
let neighbor_distance = ( neighbor_coef * dxy ) . magnitude ( ) ;
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let dz = ( new_h_i - /* h_j */ h_k ) . max ( 0.0 ) /* / height_scale */ /* * CONFIG.mountain_scale as f64 */ ;
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let mag_slope = dz /* .abs() */ / neighbor_distance ;
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if
/* !is_lake_bottom && */
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mag_slope > = max_slope {
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// println!("old slope: {:?}, new slope: {:?}, dz: {:?}, h_j: {:?}, new_h_i: {:?}", mag_slope, max_slope, dz, h_j, new_h_i);
// Thermal erosion says this can't happen, so we reduce dh_i to make the slope
// exactly max_slope.
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// max_slope = (old_h_i + dh - h_j) / height_scale/* * CONFIG.mountain_scale */ / NEIGHBOR_DISTANCE
// dh = max_slope * NEIGHBOR_DISTANCE * height_scale/* / CONFIG.mountain_scale */ + h_j - old_h_i.
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let dh = max_slope * neighbor_distance /* * height_scale */ /* / CONFIG.mountain_scale as f64 */ ;
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// new_h_i = /*h_j.max*//*(h_k + dh).max*/(/*new_h_i*/ht[posi] as f64 + l_tot * (mag_slope - max_slope));
// new_h_i = /*h_j.max*//*(h_k + dh).max*/(/*new_h_i*/h_k + dh + l_tot * (mag_slope - max_slope));
// new_h_i = /*h_j.max*//*(h_k + dh).max*/(new_h_i - l_tot * (mag_slope - max_slope));
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let dtherm = 0.0 /* dz - dh */ /* (l_tot * (mag_slope - max_slope)).min( /* (dz /* - dh */ ) / 2.0 */ (1.0 + max_g) * max_uplift as f64) */ ;
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new_h_i = /* h_j.max */ /* (h_k + dh).max */ ( /* new_h_i */ /* h_k + dh */ new_h_i - dtherm ) ;
/* let new_h_j = (old_h_j + dtherm).min(old_h_j.max(new_h_i));
h [ posj ] = new_h_j as Alt ;
wh_j = wh_j . max ( new_h_j ) ;
wh [ posj ] = wh_j as Alt ; * /
// No more hillslope processes on newly exposed bedrock.
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// max_slopes[posi] = 0.0;
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// max_slopes[posi] = l;
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// max_slopes[posi] = 0.0;
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if new_h_i < = wh_j {
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if compute_stats {
ncorr + = 1 ;
}
// new_h_i = wh_j;
// new_h_i = wh_j - old_a_i.max(0.0);
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} else {
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if compute_stats & & new_h_i > 0.0 {
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let dz = ( new_h_i - /* h_j */ /* h_k */ /* wh_j */ h_j ) . max ( 0.0 ) /* / height_scale */ /* * CONFIG.mountain_scale as f64 */ ;
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let slope = dz /* .abs() */ / neighbor_distance ;
sums + = slope ;
// max_slopes[posi] = /*(mag_slope - max_slope) * */max_slopes[posi].max(kdsed);
/* max_slopes[posi] = /* (mag_slope - max_slope) * */ kd(posi);
sums + = mag_slope ; * /
/* if kd_factor < 1.0 {
max_slopes [ posi ] / = kd_factor ;
} else {
max_slopes [ posi ] * = kd_factor ;
} * /
// max_slopes[posi] *= kd_factor;
nland + = 1 ;
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sumh + = new_h_i /* - old_a_i */ ;
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sumsed_land + = sed ;
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// suma_land += old_a_i;
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}
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// let slope = dz.signum() * max_slope;
// new_h_i = slope * neighbor_distance * height_scale /* / CONFIG.mountain_scale as f64 */ + h_j;
// sums += max_slope;
}
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if compute_stats {
ntherm + = 1 ;
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prodscrit_therm + = max_slope . ln ( ) ;
prods_therm + = mag_slope . ln ( ) ;
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}
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} else {
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// Poorly emulating nonlinear hillslope transport as described by
// http://eps.berkeley.edu/~bill/papers/112.pdf.
// sqrt(3)/3*32*32/(128000/2)
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// Also Perron-2011-Journal_of_Geophysical_Research__Earth_Surface.pdf
let slope_ratio = ( mag_slope / max_slope ) . powi ( 2 ) ;
let slope_nonlinear_factor =
slope_ratio * ( ( 3.0 - slope_ratio ) / ( 1.0 - slope_ratio ) . powi ( 2 ) ) ;
max_slopes [ posi ] + = ( max_slopes [ posi ] * slope_nonlinear_factor ) . min ( max_stable ) ;
// max_slopes[posi] = (max_slopes[posi] * 1.0 / (1.0 - (mag_slope / max_slope).powi(2)));
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/* if kd_factor < 1.0 {
max_slopes [ posi ] * = kd_factor ;
} * /
/* if (old_h_i - old_b_i as f64) <= sediment_thickness {
max_slopes [ posi ] * = kd_factor ;
} * /
// max_slopes[posi] *= kd_factor;
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if compute_stats & & new_h_i > 0.0 {
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sums + = mag_slope ;
// Just use the computed rate.
nland + = 1 ;
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sumh + = new_h_i /* - old_a_i */ ;
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sumsed_land + = sed ;
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// suma_land += old_a_i;
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}
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}
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h /* b */ [ posi ] = /* old_h_i.min(new_h_i) */ ( new_h_i /* - old_a_i.max(0.0) */ ) as Alt ;
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// Make sure to update the basement as well!
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// b[posi] = old_b_i.min(new_h_i) as Alt;
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b [ posi ] = old_b_i . min ( old_b_i + ( /* old_h_i.min( */ new_h_i /* ) */ - old_h_i ) ) as Alt ;
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// sumh += new_h_i;
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}
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// Set wh to this node's water height (max of receiver's water height and
// this node's height).
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wh [ posi ] = wh_j . max ( new_h_i ) as Alt ;
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}
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// max_slopes[posi] = max_slopes[posi].min(max_stable);
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// *is_done.at(posi) = done_val;
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if compute_stats {
sumsed + = sed ;
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// suma += old_a_i;
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let h_i = h [ posi ] ;
if h_i > 0.0 {
minh = h_i . min ( minh ) ;
}
maxh = h_i . max ( maxh ) ;
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}
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} ) ;
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log ::debug! (
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" Done applying thermal erosion (max height: {:?}) (avg height: {:?}) (min height: {:?}) (avg slope: {:?}) \n \
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( above talus angle , geom . mean slope [ actual / critical / ratio ] : { :? } / { :? } / { :? } ) \ n \
( avg alluvium thickness [ all / land ] : { :? } / { :? } ) \ n \
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( avg sediment thickness [ all / land ] : { :? } / { :? } ) \ n \
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( num land : { :? } ) ( num thermal : { :? } ) ( num corrected : { :? } ) " ,
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maxh ,
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avgz ( sumh , nland ) ,
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minh ,
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avgz ( sums , nland ) ,
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geomz ( prods_therm , ntherm ) ,
geomz ( prodscrit_therm , ntherm ) ,
geomz ( prods_therm - prodscrit_therm , ntherm ) ,
avgz ( suma , newh . len ( ) ) ,
avgz ( suma_land , nland ) ,
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avgz ( sumsed , newh . len ( ) ) ,
avgz ( sumsed_land , nland ) ,
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nland ,
ntherm ,
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ncorr ,
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) ;
// Apply hillslope diffusion.
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diffusion (
nx ,
ny ,
nx as f64 * dx ,
ny as f64 * dy ,
dt ,
( ) ,
h ,
b ,
| posi | max_slopes [ posi ] , /* kd */
/* kdsed */ - 1.0 ,
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) ;
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log ::debug! ( " Done applying diffusion. " ) ;
log ::debug! ( " Done eroding. " ) ;
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}
/// The Planchon-Darboux algorithm for extracting drainage networks.
///
/// http://horizon.documentation.ird.fr/exl-doc/pleins_textes/pleins_textes_7/sous_copyright/010031925.pdf
///
/// See https://github.com/mewo2/terrain/blob/master/terrain.js
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pub fn fill_sinks < F : Float + Send + Sync > (
h : impl Fn ( usize ) -> F + Sync ,
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is_ocean : impl Fn ( usize ) -> bool + Sync ,
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) -> Box < [ F ] > {
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// NOTE: We are using the "exact" version of depression-filling, which is slower but doesn't
// change altitudes.
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let epsilon = /* 1.0 / (1 << 7) as f32 * height_scale /* / CONFIG.mountain_scale */ */ /* 0.0 */ F ::zero ( ) ;
let infinity = F ::infinity ( ) ; //f32::INFINITY;
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let range = 0 .. WORLD_SIZE . x * WORLD_SIZE . y ;
let oldh = range
. into_par_iter ( )
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. map ( | posi | {
/* let h = h(posi);
let is_near_edge = is_ocean ( posi ) ;
if is_near_edge {
// debug_assert!(h <= 0.0);
// h
h . min ( 0.0 )
} else {
h
} * /
h ( posi )
} )
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. collect ::< Vec < _ > > ( )
. into_boxed_slice ( ) ;
let mut newh = oldh
. par_iter ( )
. enumerate ( )
. map ( | ( posi , & h ) | {
let is_near_edge = is_ocean ( posi ) ;
if is_near_edge {
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debug_assert! ( h < = F ::zero ( ) ) ;
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h
} else {
infinity
}
} )
. collect ::< Vec < _ > > ( )
. into_boxed_slice ( ) ;
loop {
let mut changed = false ;
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( 0 .. newh . len ( ) ) . for_each ( | posi | {
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let nh = newh [ posi ] ;
let oh = oldh [ posi ] ;
if nh = = oh {
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return ;
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}
for nposi in neighbors ( posi ) {
let onbh = newh [ nposi ] ;
let nbh = onbh + epsilon ;
// If there is even one path downhill from this node's original height, fix
// the node's new height to be equal to its original height, and break out of the
// loop.
if oh > = nbh {
newh [ posi ] = oh ;
changed = true ;
break ;
}
// Otherwise, we know this node's original height is below the new height of all of
// its neighbors. Then, we try to choose the minimum new height among all this
// node's neighbors that is (plus a constant epislon) below this node's new height.
//
// (If there is no such node, then the node's new height must be (minus a constant
// epsilon) lower than the new height of every neighbor, but above its original
// height. But this can't be true for *all* nodes, because if this is true for any
// node, it is not true of any of its neighbors. So all neighbors must either be
// their original heights, or we will have another iteration of the loop (one of
// its neighbors was changed to its minimum neighbor). In the second case, in the
// next round, all neighbor heights will be at most nh + epsilon).
if nh > nbh & & nbh > oh {
newh [ posi ] = nbh ;
changed = true ;
}
}
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} ) ;
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if ! changed {
return newh ;
}
}
}
/// Algorithm for finding and connecting lakes. Assumes newh and downhill have already
/// been computed. When a lake's value is negative, it is its own lake root, and when it is 0, it
/// is on the boundary of Ω.
///
/// Returns a 4-tuple containing:
/// - The first indirection vector (associating chunk indices with their lake's root node).
/// - A list of chunks on the boundary (non-lake egress points).
/// - The second indirection vector (associating chunk indices with their lake's adjacency list).
/// - The adjacency list (stored in a single vector), indexed by the second indirection vector.
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pub fn get_lakes < F : Float > (
h : impl Fn ( usize ) -> F ,
downhill : & mut [ isize ] ,
) -> ( usize , Box < [ i32 ] > , Box < [ u32 ] > , F ) {
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// Associates each lake index with its root node (the deepest one in the lake), and a list of
// adjacent lakes. The list of adjacent lakes includes the lake index of the adjacent lake,
// and a node index in the adjacent lake which has a neighbor in this lake. The particular
// neighbor should be the one that generates the minimum "pass height" encountered so far,
// i.e. the chosen pair should minimize the maximum of the heights of the nodes in the pair.
// We start by taking steps to allocate an indirection vector to use for storing lake indices.
// Initially, each entry in this vector will contain 0. We iterate in ascending order through
// the sorted newh. If the node has downhill == -2, it is a boundary node Ω and we store it in
// the boundary vector. If the node has downhill == -1, it is a fresh lake, and we store 0 in
// it. If the node has non-negative downhill, we use the downhill index to find the next node
// down; if the downhill node has a lake entry < 0, then downhill is a lake and its entry
// can be negated to find an (over)estimate of the number of entries it needs. If the downhill
// node has a non-negative entry, then its entry is the lake index for this node, so we should
// access that entry and increment it, then set our own entry to it.
let mut boundary = Vec ::with_capacity ( downhill . len ( ) ) ;
let mut indirection = vec! [ /* -1i32 */ 0 i32 ; WORLD_SIZE . x * WORLD_SIZE . y ] . into_boxed_slice ( ) ;
let mut newh = Vec ::with_capacity ( downhill . len ( ) ) ;
// Now, we know that the sum of all the indirection nodes will be the same as the number of
// nodes. We can allocate a *single* vector with 8 * nodes entries, to be used as storage
// space, and augment our indirection vector with the starting index, resulting in a vector of
// slices. As we go, we replace each lake entry with its index in the new indirection buffer,
// allowing
let mut lakes = vec! [ ( - 1 , 0 ) ; /* (indirection.len() - boundary.len()) */ indirection . len ( ) * 8 ] ;
let mut indirection_ = vec! [ 0 u32 ; indirection . len ( ) ] ;
// First, find all the lakes.
let mut lake_roots = Vec ::with_capacity ( downhill . len ( ) ) ; // Test
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( & * downhill )
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. into_iter ( )
. enumerate ( )
. filter ( | ( _ , & dh_idx ) | dh_idx < 0 )
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. for_each ( | ( chunk_idx , & dh ) | {
if dh = = - 2 {
// On the boundary, add to the boundary vector.
boundary . push ( chunk_idx ) ;
// Still considered a lake root, though.
} else if dh = = - 1 {
lake_roots . push ( chunk_idx ) ;
} else {
panic! ( " Impossible. " ) ;
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}
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// Find all the nodes uphill from this lake. Since there is only one outgoing edge
// in the "downhill" graph, this is guaranteed never to visit a node more than
// once.
let start = newh . len ( ) ;
let indirection_idx = ( start * 8 ) as u32 ;
// New lake root
newh . push ( chunk_idx as u32 ) ;
let mut cur = start ;
while cur < newh . len ( ) {
let node = newh [ cur as usize ] ;
uphill ( downhill , node as usize ) . for_each ( | child | {
// lake_idx is the index of our lake root.
indirection [ child ] = chunk_idx as i32 ;
indirection_ [ child ] = indirection_idx ;
newh . push ( child as u32 ) ;
} ) ;
cur + = 1 ;
}
// Find the number of elements pushed.
let length = ( cur - start ) * 8 ;
// New lake root (lakes have indirection set to -length).
indirection [ chunk_idx ] = - ( length as i32 ) ;
indirection_ [ chunk_idx ] = indirection_idx ;
} ) ;
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assert_eq! ( newh . len ( ) , downhill . len ( ) ) ;
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log ::debug! ( " Old lake roots: {:?} " , lake_roots . len ( ) ) ;
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let newh = newh . into_boxed_slice ( ) ;
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let mut maxh = - F ::infinity ( ) ;
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// Now, we know that the sum of all the indirection nodes will be the same as the number of
// nodes. We can allocate a *single* vector with 8 * nodes entries, to be used as storage
// space, and augment our indirection vector with the starting index, resulting in a vector of
// slices. As we go, we replace each lake entry with its index in the new indirection buffer,
// allowing
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newh . into_iter ( ) . for_each ( | & chunk_idx_ | {
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let chunk_idx = chunk_idx_ as usize ;
let lake_idx_ = indirection_ [ chunk_idx ] ;
let lake_idx = lake_idx_ as usize ;
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let height = h ( chunk_idx_ as usize ) ;
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// While we're here, compute the max elevation difference from zero among all nodes.
maxh = maxh . max ( height . abs ( ) ) ;
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// For every neighbor, check to see whether it is already set; if the neighbor is set,
// its height is ≤ our height. We should search through the edge list for the
// neighbor's lake to see if there's an entry; if not, we insert, and otherwise we
// get its height. We do the same thing in our own lake's entry list. If the maximum
// of the heights we get out from this process is greater than the maximum of this
// chunk and its neighbor chunk, we switch to this new edge.
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neighbors ( chunk_idx ) . for_each ( | neighbor_idx | {
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let neighbor_height = h ( neighbor_idx ) ;
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let neighbor_lake_idx_ = indirection_ [ neighbor_idx ] ;
let neighbor_lake_idx = neighbor_lake_idx_ as usize ;
if neighbor_lake_idx_ < lake_idx_ {
// We found an adjacent node that is not on the boundary and has already
// been processed, and also has a non-matching lake. Therefore we can use
// split_at_mut to get disjoint slices.
let ( lake , neighbor_lake ) = {
// println!("Okay, {:?} < {:?}", neighbor_lake_idx, lake_idx);
let ( neighbor_lake , lake ) = lakes . split_at_mut ( lake_idx ) ;
( lake , & mut neighbor_lake [ neighbor_lake_idx .. ] )
} ;
// We don't actually need to know the real length here, because we've reserved
// enough spaces that we should always either find a -1 (available slot) or an
// entry for this chunk.
' outer : for pass in lake . iter_mut ( ) {
if pass . 0 = = - 1 {
// println!("One time, in my mind, one time... (neighbor lake={:?} lake={:?})", neighbor_lake_idx, lake_idx_);
* pass = ( chunk_idx_ as i32 , neighbor_idx as u32 ) ;
// Should never run out of -1s in the neighbor lake if we didn't find
// the neighbor lake in our lake.
* neighbor_lake
. iter_mut ( )
. filter ( | neighbor_pass | neighbor_pass . 0 = = - 1 )
. next ( )
. unwrap ( ) = ( neighbor_idx as i32 , chunk_idx_ ) ;
// panic!("Should never happen; maybe didn't reserve enough space in lakes?")
break ;
} else if indirection_ [ pass . 1 as usize ] = = neighbor_lake_idx_ {
for neighbor_pass in neighbor_lake . iter_mut ( ) {
// Should never run into -1 while looping here, since (i, j)
// and (j, i) should be added together.
if indirection_ [ neighbor_pass . 1 as usize ] = = lake_idx_ {
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let pass_height = h ( neighbor_pass . 1 as usize ) ;
let neighbor_pass_height = h ( pass . 1 as usize ) ;
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if height . max ( neighbor_height )
< pass_height . max ( neighbor_pass_height )
{
* pass = ( chunk_idx_ as i32 , neighbor_idx as u32 ) ;
* neighbor_pass = ( neighbor_idx as i32 , chunk_idx_ ) ;
}
break 'outer ;
}
}
// Should always find a corresponding match in the neighbor lake if
// we found the neighbor lake in our lake.
let indirection_idx = indirection [ chunk_idx ] ;
let lake_chunk_idx = if indirection_idx > = 0 {
indirection_idx as usize
} else {
chunk_idx as usize
} ;
let indirection_idx = indirection [ neighbor_idx ] ;
let neighbor_lake_chunk_idx = if indirection_idx > = 0 {
indirection_idx as usize
} else {
neighbor_idx as usize
} ;
panic! (
" For edge {:?} between lakes {:?}, couldn't find partner \
for pass { :? } . \
Should never happen ; maybe forgot to set both edges ? " ,
(
( chunk_idx , uniform_idx_as_vec2 ( chunk_idx as usize ) ) ,
( neighbor_idx , uniform_idx_as_vec2 ( neighbor_idx as usize ) )
) ,
(
(
lake_chunk_idx ,
uniform_idx_as_vec2 ( lake_chunk_idx as usize ) ,
lake_idx_
) ,
(
neighbor_lake_chunk_idx ,
uniform_idx_as_vec2 ( neighbor_lake_chunk_idx as usize ) ,
neighbor_lake_idx_
)
) ,
(
( pass . 0 , uniform_idx_as_vec2 ( pass . 0 as usize ) ) ,
( pass . 1 , uniform_idx_as_vec2 ( pass . 1 as usize ) )
) ,
) ;
}
}
}
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} ) ;
} ) ;
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// Now it's time to calculate the lake connections graph T_L covering G_L.
let mut candidates = BinaryHeap ::with_capacity ( indirection . len ( ) ) ;
// let mut pass_flows : Vec<i32> = vec![-1; indirection.len()];
// We start by going through each pass, deleting the ones that point out of boundary nodes and
// adding ones that point into boundary nodes from non-boundary nodes.
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lakes . iter_mut ( ) . for_each ( | edge | {
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let edge : & mut ( i32 , u32 ) = edge ;
// Only consider valid elements.
if edge . 0 = = - 1 {
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return ;
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}
// Check to see if this edge points out *from* a boundary node.
// Delete it if so.
let from = edge . 0 as usize ;
let indirection_idx = indirection [ from ] ;
let lake_idx = if indirection_idx < 0 {
from
} else {
indirection_idx as usize
} ;
if downhill [ lake_idx ] = = - 2 {
edge . 0 = - 1 ;
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return ;
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}
// This edge is not pointing out from a boundary node.
// Check to see if this edge points *to* a boundary node.
// Add it to the candidate set if so.
let to = edge . 1 as usize ;
let indirection_idx = indirection [ to ] ;
let lake_idx = if indirection_idx < 0 {
to
} else {
indirection_idx as usize
} ;
if downhill [ lake_idx ] = = - 2 {
// Find the pass height
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let pass = h ( from ) . max ( h ( to ) ) ;
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candidates . push ( Reverse ( (
NotNan ::new ( pass ) . unwrap ( ) ,
( edge . 0 as u32 , edge . 1 ) ,
) ) ) ;
}
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} ) ;
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let mut pass_flows_sorted : Vec < usize > = Vec ::with_capacity ( indirection . len ( ) ) ;
// Now all passes pointing to the boundary are in candidates.
// As long as there are still candidates, we continue...
// NOTE: After a lake is added to the stream tree, the lake bottom's indirection entry no
// longer negates its maximum number of passes, but the lake side of the chosen pass. As such,
// we should make sure not to rely on using it this way afterwards.
// provides information about the number of candidate passes in a lake.
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while let Some ( Reverse ( ( _ , ( chunk_idx , neighbor_idx ) ) ) ) = candidates . pop ( ) {
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// We have the smallest candidate.
let lake_idx = indirection_ [ chunk_idx as usize ] as usize ;
let indirection_idx = indirection [ chunk_idx as usize ] ;
let lake_chunk_idx = if indirection_idx > = 0 {
indirection_idx as usize
} else {
chunk_idx as usize
} ;
if downhill [ lake_chunk_idx ] > = 0 {
// Candidate lake has already been connected.
continue ;
}
// println!("Got here...");
assert_eq! ( downhill [ lake_chunk_idx ] , - 1 ) ;
// Candidate lake has not yet been connected, and is the lowest candidate.
// Delete all other outgoing edges.
let max_len = - if indirection_idx < 0 {
indirection_idx
} else {
indirection [ indirection_idx as usize ]
} as usize ;
// Add this chunk to the tree.
downhill [ lake_chunk_idx ] = neighbor_idx as isize ;
// Also set the indirection of the lake bottom to the negation of the
// lake side of the chosen pass (chunk_idx).
// NOTE: This can't overflow i32 because WORLD_SIZE.x * WORLD_SIZE.y should fit in an i32.
indirection [ lake_chunk_idx ] = - ( chunk_idx as i32 ) ;
// Add this edge to the sorted list.
pass_flows_sorted . push ( lake_chunk_idx ) ;
// pass_flows_sorted.push((chunk_idx as u32, neighbor_idx as u32));
for edge in & mut lakes [ lake_idx .. lake_idx + max_len ] {
if * edge = = ( chunk_idx as i32 , neighbor_idx as u32 ) {
// Skip deleting this edge.
continue ;
}
// Delete the old edge, and remember it.
let edge = mem ::replace ( edge , ( - 1 , 0 ) ) ;
if edge . 0 = = - 1 {
// Don't fall off the end of the list.
break ;
}
// Don't add incoming pointers from already-handled lakes or boundary nodes.
let indirection_idx = indirection [ edge . 1 as usize ] ;
let neighbor_lake_idx = if indirection_idx < 0 {
edge . 1 as usize
} else {
indirection_idx as usize
} ;
if downhill [ neighbor_lake_idx ] ! = - 1 {
continue ;
}
// Find the pass height
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let pass = h ( edge . 0 as usize ) . max ( h ( edge . 1 as usize ) ) ;
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// Put the reverse edge in candidates, sorted by height, then chunk idx, and finally
// neighbor idx.
candidates . push ( Reverse ( (
NotNan ::new ( pass ) . unwrap ( ) ,
( edge . 1 , edge . 0 as u32 ) ,
) ) ) ;
}
// println!("I am a pass: {:?}", (uniform_idx_as_vec2(chunk_idx as usize), uniform_idx_as_vec2(neighbor_idx as usize)));
}
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log ::debug! ( " Total lakes: {:?} " , pass_flows_sorted . len ( ) ) ;
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// Perform the bfs once again.
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#[ derive(Clone, Copy, PartialEq) ]
enum Tag {
UnParsed ,
InQueue ,
WithRcv ,
}
let mut tag = vec! [ Tag ::UnParsed ; WORLD_SIZE . x * WORLD_SIZE . y ] ;
// TODO: Combine with adding to vector.
let mut filling_queue = Vec ::with_capacity ( downhill . len ( ) ) ;
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let mut newh = Vec ::with_capacity ( downhill . len ( ) ) ;
( & * boundary )
. iter ( )
. chain ( pass_flows_sorted . iter ( ) )
. for_each ( | & chunk_idx | {
// Find all the nodes uphill from this lake. Since there is only one outgoing edge
// in the "downhill" graph, this is guaranteed never to visit a node more than
// once.
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let mut start = newh . len ( ) ;
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// First, find the neighbor pass (assuming this is not the ocean).
let neighbor_pass_idx = downhill [ chunk_idx ] ;
let first_idx = if neighbor_pass_idx < 0 {
// This is the ocean.
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newh . push ( chunk_idx as u32 ) ;
start + = 1 ;
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chunk_idx
} else {
// This is a "real" lake.
let neighbor_pass_idx = neighbor_pass_idx as usize ;
// Let's find our side of the pass.
let pass_idx = - indirection [ chunk_idx ] ;
// NOTE: Since only lakes are on the boundary, this should be a valid array index.
assert! ( pass_idx > = 0 ) ;
let pass_idx = pass_idx as usize ;
// Now, we should recompute flow paths so downhill nodes are contiguous.
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/* / / Carving strategy: reverse the path from the lake side of the pass to the
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// lake bottom, and also set the lake side of the pass's downhill to its
// neighbor pass.
let mut to_idx = neighbor_pass_idx ;
let mut from_idx = pass_idx ;
// NOTE: Since our side of the lake pass must be in the same basin as chunk_idx,
// and chunk_idx is the basin bottom, we must reach it before we reach an ocean
// node or other node with an invalid index.
while from_idx ! = chunk_idx {
// Reverse this (from, to) edge by first replacing to_idx with from_idx,
// then replacing from_idx's downhill with the old to_idx, and finally
// replacing from_idx with from_idx's old downhill.
//
// println!("Reversing (lake={:?}): to={:?}, from={:?}, dh={:?}", chunk_idx, to_idx, from_idx, downhill[from_idx]);
from_idx = mem ::replace (
& mut downhill [ from_idx ] ,
mem ::replace (
& mut to_idx ,
// NOTE: This cast should be valid since the node is either a path on the way
// to a lake bottom, or a lake bottom with an actual pass outwards.
from_idx
) as isize ,
) as usize ;
}
// Remember to set the actual lake's from_idx properly!
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downhill [ from_idx ] = to_idx as isize ; * /
// TODO: Enqueue onto newh simultaneously with filling (this could help prevent
// needing a special tag just for checking if we are already enqueued).
// Filling strategy: nodes are assigned paths based on cost.
{
assert! ( tag [ pass_idx ] = = Tag ::UnParsed ) ;
filling_queue . push ( pass_idx ) ;
tag [ neighbor_pass_idx ] = Tag ::WithRcv ;
tag [ pass_idx ] = Tag ::InQueue ;
let outflow_coords = uniform_idx_as_vec2 ( neighbor_pass_idx ) ;
let elev = h ( neighbor_pass_idx ) . max ( h ( pass_idx ) ) ; ;
while let Some ( node ) = filling_queue . pop ( ) {
let coords = uniform_idx_as_vec2 ( node ) ;
let mut rcv = - 1 ;
let mut rcv_cost = - f64 ::INFINITY ; /* f64::EPSILON; */
let outflow_distance = ( outflow_coords - coords ) . map ( | e | e as f64 ) ;
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neighbors ( node ) . for_each ( | ineighbor | {
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if indirection [ ineighbor ] ! = chunk_idx as i32 & &
ineighbor ! = chunk_idx & & ineighbor ! = neighbor_pass_idx | | h ( ineighbor ) > elev {
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return ;
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}
let dxy = ( uniform_idx_as_vec2 ( ineighbor ) - coords ) . map ( | e | e as f64 ) ;
let neighbor_distance = ( /* neighbor_coef * */ dxy ) ;
let mut tag = & mut tag [ ineighbor ] ;
match * tag {
Tag ::WithRcv = > {
// TODO: Remove outdated comment.
//
// // Proportional to
// // (vec_to_neighbor ⋅ vec_to_outflow) / |vec_to_neighbor|
// //
// // (proportional because the numerator of our actual
// // calculation is in chunk units, while the bottom is in
// // meters; this is effectively just multiplying the real costs in meters
// // by a constant [the chunk to meter ratio]).
//
// vec_to_outflow ⋅ (vec_to_neighbor / |vec_to_neighbor|) = ||vec_to_outflow||cos Θ
// where θ is the angle between vec_to_outflow and vec_to_neighbor.
//
// Which is also the scalar component of vec_to_outflow in the
// direction of vec_to_neighbor.
let cost = ( outflow_distance . dot ( neighbor_distance / neighbor_distance . magnitude ( ) ) ) /* .abs() */ ;
if cost > rcv_cost {
rcv = ineighbor as isize ;
rcv_cost = cost ;
}
} ,
Tag ::UnParsed = > {
filling_queue . push ( ineighbor ) ;
* tag = Tag ::InQueue ;
} ,
_ = > { }
}
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} ) ;
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assert! ( rcv ! = - 1 ) ;
downhill [ node ] = rcv ;
// dist2receivers(node) = d8_distances[detail::get_d8_distance_id(node, rcv, static_cast<Node_T>(ncols))];
tag [ node ] = Tag ::WithRcv ;
}
}
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// Use our side of the pass as the initial node in the stack order.
// TODO: Verify that this stack order will not "double reach" any lake chunks.
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// pass_idx
neighbor_pass_idx
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} ;
// newh.push(chunk_idx as u32);
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// New lake root
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/* newh.push(first_idx as u32); */
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let mut cur = start ;
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let mut node = first_idx ;
// while cur < newh.len()
loop {
// let node = newh[cur as usize];
// cur += 1;
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uphill ( downhill , node as usize ) . for_each ( | child | {
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// lake_idx is the index of our lake root.
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// Check to make sure child (flowing into us) is in the same lake.
if indirection [ child ] = = chunk_idx as i32 | | child = = chunk_idx
// // Check to make sure child (flowing into us) isn't a lake.
// if indirection[child] >= 0 || child == chunk_idx
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/* Note: equal to chunk_idx should be same */
{
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// assert!(h[child] >= h[node as usize]);
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newh . push ( child as u32 ) ;
}
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} ) ;
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if cur = = newh . len ( ) {
break ;
}
node = newh [ cur ] as usize ;
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cur + = 1 ;
}
} ) ;
assert_eq! ( newh . len ( ) , downhill . len ( ) ) ;
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( boundary . len ( ) , indirection , newh . into_boxed_slice ( ) , maxh )
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}
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/// Iterate through set neighbors of multi-receiver flow.
pub fn mrec_downhill < ' a > (
mrec : & ' a [ u8 ] ,
posi : usize ,
) -> impl Clone + Iterator < Item = ( usize , usize ) > + ' a {
let pos = uniform_idx_as_vec2 ( posi ) ;
let mrec_i = mrec [ posi ] ;
NEIGHBOR_DELTA
. iter ( )
. enumerate ( )
. filter ( move | & ( k , _ ) | ( mrec_i > > k as isize ) & 1 = = 1 )
. map ( move | ( k , & ( x , y ) ) | {
(
k ,
vec2_as_uniform_idx ( Vec2 ::new ( pos . x + x as i32 , pos . y + y as i32 ) ) ,
)
} )
}
/// Algorithm for computing multi-receiver flow.
///
/// * `h`: altitude
/// * `downhill`: single receiver
/// * `newh`: single receiver stack
/// * `wh`: buffer into which water height will be inserted.
/// * `nx`, `ny`: resolution in x and y directions.
/// * `dx`, `dy`: grid spacing in x- and y-directions
/// * `maxh`: maximum |height| among all nodes.
///
///
/// Updates the water height to a nearly planar surface, and returns a 3-tuple containing:
/// * A bitmask representing which neighbors are downhill.
/// * Stack order for multiple receivers (from top to bottom).
/// * The weight for each receiver, for each node.
pub fn get_multi_rec < F : fmt ::Debug + Float + Sync + Into < Compute > > (
h : impl Fn ( usize ) -> F + Sync ,
downhill : & [ isize ] ,
newh : & [ u32 ] ,
wh : & mut [ F ] ,
nx : usize ,
ny : usize ,
dx : Compute ,
dy : Compute ,
_maxh : F ,
) -> ( Box < [ u8 ] > , Box < [ u32 ] > , Box < [ Computex8 ] > )
/* where
Compute : Into < F > , * /
{
let nn = nx * ny ;
let dxdy = Vec2 ::new ( dx , dy ) ;
// set bc
let i1 = 0 ;
let i2 = nx ;
let j1 = 0 ;
let j2 = ny ;
/* let xcyclic = false;
let ycyclic = false ; * /
/*
write ( cbc , ' ( i4 ) ' ) ibc
i1 = 1
i2 = nx
j1 = 1
j2 = ny
if ( cbc ( 4 :4 ) . eq . '1' ) i1 = 2
if ( cbc ( 2 :2 ) . eq . '1' ) i2 = nx - 1
if ( cbc ( 1 :1 ) . eq . '1' ) j1 = 2
if ( cbc ( 3 :3 ) . eq . '1' ) j2 = ny - 1
xcyclic = . FALSE .
ycyclic = . FALSE .
if ( cbc ( 4 :4 ) . ne . '1' . and . cbc ( 2 :2 ) . ne . '1' ) xcyclic = . TRUE .
if ( cbc ( 1 :1 ) . ne . '1' . and . cbc ( 3 :3 ) . ne . '1' ) ycyclic = . TRUE .
* /
assert_eq! ( nn , wh . len ( ) ) ;
/* / / TODO: Remove this.
for w in & mut * wh {
* w = F ::nan ( ) ;
} * /
// fill the local minima with a nearly planar surface
// See https://matthew-brett.github.io/teaching/floating_error.html;
// our absolute error is bounded by β^(e-(p-1)), where e is the exponent of the largest value we
// care about. In this case, since we are summing up to nn numbers, we are bounded from above
// by nn * |maxh|; however, we only need to invoke this when we actually encounter a number, so
// we compute it dynamically.
// for nn + |maxh|
// TODO: Consider that it's probably not possible to have a downhill path the size of the whole grid...
// either measure explicitly (maybe in get_lakes) or work out a more precise upper bound (since
// using nn * 2 * (maxh + epsilon) makes f32 not work very well).
let deltah = F ::epsilon ( ) + F ::epsilon ( ) ;
// let deltah = F::epsilon() * 2 * maxh;
// NumCast::from(nn); /* 1.0e-8 */
// let deltah : F = (1.0e-7 as Compute).into();
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newh . into_iter ( ) . for_each ( | & ijk | {
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let ijk = ijk as usize ;
let h_i = h ( ijk ) ;
let ijr = downhill [ ijk ] ;
wh [ ijk ] = if ijr > = 0 {
let ijr = ijr as usize ;
let wh_j = wh [ ijr ] ;
// debug_assert!(wh_j.is_normal() || wh_j == F::zero());
if wh_j /* > */ > = h_i {
/* if wh_j == h_i {
log ::debug! ( " Interesting... ijk={:?}, ijr={:?}, wh_j{:?} h_i={:?} " , uniform_idx_as_vec2 ( ijk ) , uniform_idx_as_vec2 ( ijr ) , wh_j , h_i ) ;
} * /
let deltah = deltah * wh_j . abs ( ) ;
wh_j + deltah
} else {
h_i
}
// wh[ijk] = h_i.max(wh_j + deltah);
} else {
h_i
} ;
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} ) ;
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let mut wrec = Vec ::< Computex8 > ::with_capacity ( nn ) ;
let mut mrec = Vec ::with_capacity ( nn ) ;
let mut don_vis = Vec ::with_capacity ( nn ) ;
// loop on all nodes
( 0 .. nn )
. into_par_iter ( )
. map ( | ij | {
// TODO: SIMDify? Seems extremely amenable to that.
// let h_ij = h(ij);
let wh_ij = wh [ ij ] ;
let mut mrec_ij = 0 u8 ;
let mut ndon_ij = 0 u8 ;
let neighbor_iter = | posi | {
let pos = uniform_idx_as_vec2 ( posi ) ;
NEIGHBOR_DELTA
. iter ( )
. map ( move | & ( x , y ) | Vec2 ::new ( pos . x + x , pos . y + y ) )
. enumerate ( )
. filter ( move | & ( _ , pos ) | {
pos . x > = 0
& & pos . y > = 0
& & pos . x < WORLD_SIZE . x as i32
& & pos . y < WORLD_SIZE . y as i32
} )
. map ( move | ( k , pos ) | ( k , vec2_as_uniform_idx ( pos ) ) )
} ;
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neighbor_iter ( ij ) . for_each ( | ( k , ijk ) | {
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let wh_ijk = wh [ ijk ] ;
// let h_ijk = h(ijk);
if
/* h_ij */
wh_ij > wh_ijk {
// Set neighboring edge lower than this one as being downhill.
// NOTE: relying on at most 8 neighbors.
mrec_ij | = ( 1 < < k ) ;
} else if
/* h_ijk */
wh_ijk > wh_ij {
// Avoiding ambiguous cases.
ndon_ij + = 1 ;
}
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} ) ;
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// let vis_ij = mrec_ij.count_ones();
( mrec_ij , ( ndon_ij , ndon_ij ) )
} )
. unzip_into_vecs ( & mut mrec , & mut don_vis ) ;
let czero = < Compute as Zero > ::zero ( ) ;
let ( wrec , stack ) = rayon ::join (
| | {
( 0 .. nn )
. into_par_iter ( )
. map ( | ij | {
let mut sumweight = czero ;
let mut wrec = /* Computex8::splat(czero) */ [ czero ; 8 ] ;
let mut nrec = 0 ;
// let mut wrec: [Compute; 8] = [czero, czero, czero, czero, czero, czero, czero, czero];
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mrec_downhill ( & mrec , ij ) . for_each ( | ( k , ijk ) | {
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let lrec_ijk = ( ( uniform_idx_as_vec2 ( ijk ) - uniform_idx_as_vec2 ( ij ) )
. map ( | e | e as Compute )
* dxdy )
. magnitude ( ) ;
let wrec_ijk = ( wh [ ij ] - wh [ ijk ] ) . into ( ) / lrec_ijk ;
// let wrec_ijk = if ijk as isize == downhill[ij] { <Compute as One>::one() } else { <Compute as Zero>::zero() };
wrec [ k ] = wrec_ijk ;
// wrec = wrec.replace(k, wrec_ijk);
sumweight + = wrec_ijk ;
nrec + = 1 ;
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} ) ;
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// let (_, ndon_ij) = ndon[ij];
let slope = sumweight / ( nrec as Compute ) . max ( 1.0 ) ;
let p_mfd_exp = 0.5 + 0.6 * slope ;
// let p_mfd_exp = 10.0;
/* let ijr = downhill[ij];
if ijr < 0 {
if sumweight ! = < Compute as Zero > ::zero ( ) {
log ::error! ( " Huh? ij={:?} [h={:?}, wh={:?}], downhill={:?}, sum={:?}, mrec={:?}, mwrec={:?} " ,
uniform_idx_as_vec2 ( ij ) , h ( ij ) , wh [ ij ] ,
ijr ,
sumweight , mrec [ ij ] , wrec ) ;
}
debug_assert_eq! ( sumweight , < Compute as Zero > ::zero ( ) ) ;
} else {
if sumweight ! = < Compute as One > ::one ( ) {
let ijr = ijr as usize ;
log ::error! ( " Huh? ij={:?} [h={:?}, wh={:?}], downhill={:?} [h={:?}, wh={:?}], sum={:?}, mrec={:?}, mwrec={:?} " ,
uniform_idx_as_vec2 ( ij ) , h ( ij ) , wh [ ij ] ,
uniform_idx_as_vec2 ( ijr ) , h ( ijr ) , wh [ ijr ] ,
sumweight , mrec [ ij ] , wrec ) ;
}
debug_assert_eq! ( sumweight , < Compute as One > ::one ( ) ) ;
} * /
sumweight = czero ;
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wrec . iter_mut ( ) . for_each ( | wrec_k | {
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let wrec_ijk = wrec_k . powf ( p_mfd_exp ) ;
sumweight + = wrec_ijk ;
* wrec_k = wrec_ijk ;
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} ) ;
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if sumweight > czero {
// wrec /= sumweight;
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wrec . iter_mut ( ) . for_each ( | wrec_k | {
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* wrec_k / = sumweight ;
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} ) ;
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}
wrec
} )
. collect_into_vec ( & mut wrec ) ;
wrec
} ,
| | {
let mut stack = Vec ::with_capacity ( nn ) ;
let mut parse = Vec ::with_capacity ( nn ) ;
// we go through the nodes
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( 0 .. nn ) . for_each ( | ij | {
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let ( ndon_ij , _ ) = don_vis [ ij ] ;
// when we find a "summit" (ie a node that has no donors)
// we parse it (put it in a stack called parse)
if ndon_ij = = 0 {
parse . push ( ij ) ;
}
// we go through the parsing stack
while let Some ( ijn ) = parse . pop ( ) {
// we add the node to the stack
stack . push ( ijn as u32 ) ;
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mrec_downhill ( & mrec , ijn ) . for_each ( | ( _ , ijr ) | {
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let ( _ , ref mut vis_ijr ) = don_vis [ ijr ] ;
if * vis_ijr > = 1 {
* vis_ijr - = 1 ;
if * vis_ijr = = 0 {
parse . push ( ijr ) ;
}
}
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} ) ;
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}
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} ) ;
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assert_eq! ( stack . len ( ) , nn ) ;
stack
} ,
) ;
(
mrec . into_boxed_slice ( ) ,
stack . into_boxed_slice ( ) ,
wrec . into_boxed_slice ( ) ,
)
}
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/// Perform erosion n times.
pub fn do_erosion (
erosion_base : f32 ,
_max_uplift : f32 ,
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n_steps : usize ,
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seed : & RandomField ,
rock_strength_nz : & ( impl NoiseFn < Point3 < f64 > > + Sync ) ,
oldh : impl Fn ( usize ) -> f32 + Sync ,
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oldb : impl Fn ( usize ) -> f32 + Sync ,
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// olda: impl Fn(usize) -> f32 + Sync,
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is_ocean : impl Fn ( usize ) -> bool + Sync ,
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uplift : impl Fn ( usize ) -> f64 + Sync ,
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n : impl Fn ( usize ) -> f32 + Sync ,
theta : impl Fn ( usize ) -> f32 + Sync ,
kf : impl Fn ( usize ) -> f64 + Sync ,
kd : impl Fn ( usize ) -> f64 + Sync ,
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g : impl Fn ( usize ) -> f32 + Sync ,
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epsilon_0 : impl Fn ( usize ) -> f32 + Sync ,
alpha : impl Fn ( usize ) -> f32 + Sync ,
) -> ( Box < [ Alt ] > , Box < [ Alt ] > /* , Box<[Alt]> */ ) {
log ::debug! ( " Initializing erosion arrays... " ) ;
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let oldh_ = ( 0 .. WORLD_SIZE . x * WORLD_SIZE . y )
. into_par_iter ( )
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. map ( | posi | oldh ( posi ) as Alt )
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. collect ::< Vec < _ > > ( )
. into_boxed_slice ( ) ;
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// Topographic basement (The height of bedrock, not including sediment).
let mut b = ( 0 .. WORLD_SIZE . x * WORLD_SIZE . y )
. into_par_iter ( )
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. map ( | posi | oldb ( posi ) as Alt )
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. collect ::< Vec < _ > > ( )
. into_boxed_slice ( ) ;
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/* / / Alluvium (the total depth of alluvium above the topsoil).
let mut a = ( 0 .. WORLD_SIZE . x * WORLD_SIZE . y )
. into_par_iter ( )
. map ( | posi | olda ( posi ) as Alt )
. collect ::< Vec < _ > > ( )
. into_boxed_slice ( ) ; * /
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// Stream power law slope exponent--link between channel slope and erosion rate.
let n = ( 0 .. WORLD_SIZE . x * WORLD_SIZE . y )
. into_par_iter ( )
. map ( | posi | n ( posi ) )
. collect ::< Vec < _ > > ( )
. into_boxed_slice ( ) ;
// Stream power law concavity index (θ = m/n), turned into an exponent on drainage
// (which is a proxy for discharge according to Hack's Law).
let m = ( 0 .. WORLD_SIZE . x * WORLD_SIZE . y )
. into_par_iter ( )
. map ( | posi | theta ( posi ) * n [ posi ] )
. collect ::< Vec < _ > > ( )
. into_boxed_slice ( ) ;
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// Stream power law erodability constant for fluvial erosion (bedrock)
let kf = ( 0 .. WORLD_SIZE . x * WORLD_SIZE . y )
. into_par_iter ( )
. map ( | posi | kf ( posi ) )
. collect ::< Vec < _ > > ( )
. into_boxed_slice ( ) ;
// Stream power law erodability constant for hillslope diffusion (bedrock)
let kd = ( 0 .. WORLD_SIZE . x * WORLD_SIZE . y )
. into_par_iter ( )
. map ( | posi | kd ( posi ) )
. collect ::< Vec < _ > > ( )
. into_boxed_slice ( ) ;
// Deposition coefficient
let g = ( 0 .. WORLD_SIZE . x * WORLD_SIZE . y )
. into_par_iter ( )
. map ( | posi | g ( posi ) )
. collect ::< Vec < _ > > ( )
. into_boxed_slice ( ) ;
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let epsilon_0 = ( 0 .. WORLD_SIZE . x * WORLD_SIZE . y )
. into_par_iter ( )
. map ( | posi | epsilon_0 ( posi ) )
. collect ::< Vec < _ > > ( )
. into_boxed_slice ( ) ;
let alpha = ( 0 .. WORLD_SIZE . x * WORLD_SIZE . y )
. into_par_iter ( )
. map ( | posi | alpha ( posi ) )
. collect ::< Vec < _ > > ( )
. into_boxed_slice ( ) ;
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let mut wh = vec! [ 0.0 ; WORLD_SIZE . x * WORLD_SIZE . y ] . into_boxed_slice ( ) ;
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// TODO: Don't do this, maybe?
// (To elaborate, maybe we should have varying uplift or compute it some other way).
let uplift = ( 0 .. oldh_ . len ( ) )
. into_par_iter ( )
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. map ( | posi | uplift ( posi ) as f32 )
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. collect ::< Vec < _ > > ( )
. into_boxed_slice ( ) ;
let sum_uplift = uplift
. into_par_iter ( )
. cloned ( )
. map ( | e | e as f64 )
. sum ::< f64 > ( ) ;
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log ::debug! ( " Sum uplifts: {:?} " , sum_uplift ) ;
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let max_uplift = uplift
. into_par_iter ( )
. cloned ( )
. max_by ( | a , b | a . partial_cmp ( & b ) . unwrap ( ) )
. unwrap ( ) ;
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let max_g = g
. into_par_iter ( )
. cloned ( )
. max_by ( | a , b | a . partial_cmp ( & b ) . unwrap ( ) )
. unwrap ( ) ;
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log ::debug! ( " Max uplift: {:?} " , max_uplift ) ;
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log ::debug! ( " Max g: {:?} " , max_g ) ;
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// Height of terrain, including sediment.
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let mut h = oldh_ ;
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// 0.01 / 2e-5 = 500
// Bedrock transport coefficients (diffusivity) in m^2 / year. For now, we set them all to be equal
// on land, but in theory we probably want to at least differentiate between soil, bedrock, and
// sediment.
let height_scale = 1.0 ; // 1.0 / CONFIG.mountain_scale as f64;
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let mmaxh = CONFIG . mountain_scale as f64 * height_scale ;
let dt = max_uplift as f64 / height_scale /* * CONFIG.mountain_scale as f64 */ / 5.010e-4 ;
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let k_fb = /* (erosion_base as f64 + 2.244 / mmaxh as f64 * /* 10.0 */ /* 5.0 */ /* 9.0 */ /* 7.5 */ /* 5.0 */ /* 2.5 */ /* 1.5 */ 4.0 /* 1.0 */ /* 3.75 */ * max_uplift as f64) / dt; */
2.0e-5 * dt ;
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let kd_bedrock =
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/* 1e-2 */ /* 0.25e-2 */ 1e-2 / 1.0 * height_scale * height_scale /* / (CONFIG.mountain_scale as f64 * CONFIG.mountain_scale as f64) */
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/* * k_fb / 2e-5 */ ;
let kdsed =
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/* 1.5e-2 */ /* 1e-4 */ /* 1.25e-2 */ /* 1.5e-2 */ 1.5e-2 / 1.0 * height_scale * height_scale /* / (CONFIG.mountain_scale as f64 * CONFIG.mountain_scale as f64) */
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/* * k_fb / 2e-5 */ ;
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// let kd = |posi: usize| kd_bedrock; // if is_ocean(posi) { /*0.0*/kd_bedrock } else { kd_bedrock };
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let n = | posi : usize | n [ posi ] ;
let m = | posi : usize | m [ posi ] ;
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let kd = | posi : usize | kd [ posi ] ; // if is_ocean(posi) { /*0.0*/kd_bedrock } else { kd_bedrock };
let kf = | posi : usize | kf [ posi ] ;
let g = | posi : usize | g [ posi ] ;
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let epsilon_0 = | posi : usize | epsilon_0 [ posi ] ;
let alpha = | posi : usize | alpha [ posi ] ;
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// Hillslope diffusion coefficient for sediment.
let mut is_done = bitbox! [ 0 ; WORLD_SIZE . x * WORLD_SIZE . y ] ;
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( 0 .. n_steps ) . for_each ( | i | {
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log ::debug! ( " Erosion iteration #{:?} " , i ) ;
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erode (
& mut h ,
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& mut b ,
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// &mut a,
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& mut wh ,
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& mut is_done ,
// The value to use to indicate that erosion is complete on a chunk. Should toggle
// once per iteration, to avoid having to reset the bits, and start at true, since
// we initialize to 0 (false).
i & 1 = = 0 ,
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erosion_base ,
max_uplift ,
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max_g ,
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// -1.0,
kdsed ,
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seed ,
rock_strength_nz ,
| posi | uplift [ posi ] ,
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n ,
m ,
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kf ,
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kd ,
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g ,
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epsilon_0 ,
alpha ,
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| posi | is_ocean ( posi ) ,
) ;
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} ) ;
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( h , b /* , a */ )
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}