test.js #1

"use strict"

var makeTree = require("../rbtree.js")
var tape = require("tape")
var util = require("util")
var iota = require("iota-array")

var COLORS = [ "r", "b", "bb" ]

function printTree(tree) {
  if(!tree) {
    return []
  }
  return [ COLORS[tree._color], tree.key, printTree(tree.left), printTree(tree.right) ]
}

function print(t) {
  console.log(util.inspect(printTree(t.root), {depth:12}))
}

//Ensures the red black axioms are satisfied by tree
function checkTree(tree, t) {
  if(!tree.root) {
    return
  }
  t.equals(tree.root._color, 1, "root is black")
  function checkNode(node) {
    if(!node) {
      return [1, 0]
    }
    if(node._color === 0) {
      t.assert(!node.left || node.left._color === 1, "children of red node must be black")
      t.assert(!node.right || node.right._color === 1, "children of red node must be black")
    } else {
      t.equals(node._color, 1, "node color must be red or black")
    }
    if(node.left) {
      t.assert(tree._compare(node.left.key, node.key) <= 0, "left tree order invariant")
    }
    if(node.right) {
      t.assert(tree._compare(node.right.key, node.key) >= 0, "right tree order invariant")
    }
    var cl = checkNode(node.left)
    var cr = checkNode(node.right)
    t.equals(cl[0], cr[0], "number of black nodes along all paths to root must be constant")
    t.equals(cl[1] + cr[1] + 1, node._count, "item count consistency")
    return [cl[0] + node._color,  cl[1] + cr[1] + 1]
  }
  var r = checkNode(tree.root)
  t.equals(r[1], tree.length, "tree length")
}

tape("insert()", function(t) {
  var t1 = makeTree()
  
  var u = t1
  var arr = []
  for(var i=20; i>=0; --i) {
    var x = i
    var next = u.insert(x, true)
    checkTree(u, t)
    checkTree(next, t)
    t.equals(u.length, arr.length)
    arr.push(x)
    u = next
  }
  for(var i=-20; i<0; ++i) {
    var x = i
    var next = u.insert(x, true)
    checkTree(u, t)
    checkTree(next, t)
    arr.sort(function(a,b) { return a-b })
    var ptr = 0
    u.forEach(function(k,v) {
      t.equals(k, arr[ptr++])
    })
    t.equals(ptr, arr.length)
    arr.push(x)
    u = next
  }

  var start = u.begin
  for(var i=-20, j=0; j<=40; ++i, ++j) {
    t.equals(u.at(j).key, i, "checking at()")
    t.equals(start.key, i, "checking iter")
    t.equals(start.index, j, "checking index")
    t.assert(start.valid, "checking valid")
    if(j < 40) {
      t.assert(start.hasNext, "hasNext()")
    } else {
      t.assert(!start.hasNext, "eof hasNext()")
    }
    start.next()
  }
  t.assert(!start.valid, "invalid eof iterator")
  t.assert(!start.hasNext, "hasNext() at eof fail")
  t.equals(start.index, 41, "eof index")

  t.end()
})

tape("foreach", function(t) {
  var u = iota(31).reduce(function(u, k, v) {
    return u.insert(k, v)
  }, makeTree())

  //Check basic foreach
  var visit_keys = []
  var visit_vals = []
  u.forEach(function(k,v) {
    visit_keys.push(k)
    visit_vals.push(v)
  })
  t.same(visit_keys, u.keys)
  t.same(visit_vals, u.values)

  //Check foreach with termination
  visit_keys = []
  visit_vals = []
  t.equals(u.forEach(function(k,v) {
    if(k === 5) {
      return 1000
    }
    visit_keys.push(k)
    visit_vals.push(v)
  }), 1000)
  t.same(visit_keys, u.keys.slice(0, 5))
  t.same(visit_vals, u.values.slice(0, 5))

  //Check half interval foreach
  visit_keys = []
  visit_vals = []
  u.forEach(function(k,v) {
    visit_keys.push(k)
    visit_vals.push(v)
  }, 3)
  t.same(visit_keys, u.keys.slice(3))
  t.same(visit_vals, u.values.slice(3))

  //Check half interval foreach with termination
  visit_keys = []
  visit_vals = []
  t.equals(u.forEach(function(k,v) {
    if(k === 12) {
      return 1000
    }
    visit_keys.push(k)
    visit_vals.push(v)
  }, 3), 1000)
  t.same(visit_keys, u.keys.slice(3, 12))
  t.same(visit_vals, u.values.slice(3, 12))


  //Check interval foreach
  visit_keys = []
  visit_vals = []
  u.forEach(function(k,v) {
    visit_keys.push(k)
    visit_vals.push(v)
  }, 3, 15)
  t.same(visit_keys, u.keys.slice(3, 15))
  t.same(visit_vals, u.values.slice(3, 15))

  //Check interval foreach with termination
  visit_keys = []
  visit_vals = []
  t.equals(u.forEach(function(k,v) {
    if(k === 12) {
      return 1000
    }
    visit_keys.push(k)
    visit_vals.push(v)
  }, 3, 15), 1000)
  t.same(visit_keys, u.keys.slice(3, 12))
  t.same(visit_vals, u.values.slice(3, 12))

  t.end()
})

function compareIterators(a, b, t) {
  t.equals(a.tree, b.tree, "iter trees")
  t.equals(a.valid, b.valid, "iter validity")
  if(!b.valid) {
    return
  }
  t.equals(a.node, b.node, "iter node")
  t.equals(a.key, b.key, "iter key")
  t.equals(a.value, b.value, "iter value")
  t.equals(a.index, b.index, "iter index")
}

tape("iterators", function(t) {
  var u = iota(20).reduce(function(u, k, v) {
    return u.insert(k, v)
  }, makeTree())

  //Try walking forward
  var iter = u.begin
  var c = iter.clone()
  t.ok(iter.hasNext, "must have next at beginneing")
  t.ok(!iter.hasPrev, "must not have predecessor")
  for(var i=0; i<20; ++i) {
    var v = u.at(i)
    compareIterators(iter, v, t)
    t.equals(iter.index, i)
    iter.next()
  }
  t.ok(!iter.valid, "must be eof iterator")

  //Check if the clone worked
  compareIterators(c, u.begin, t)

  //Try walking backward
  var iter = u.end
  t.ok(!iter.hasNext, "must not have next")
  t.ok(iter.hasPrev, "must have predecessor")
  for(var i=19; i>=0; --i) {
    var v = u.at(i)
    compareIterators(iter, v, t)
    t.equals(iter.index, i)
    iter.prev()
  }
  t.ok(!iter.valid, "must be eof iterator")

  t.end()
})


tape("remove()", function(t) {

  var sz = [1, 2,  10, 20, 23, 31, 32, 33]
  for(var n=0; n<sz.length; ++n) {
    var c = sz[n]
    var u = iota(c).reduce(function(u, k, v) {
      return u.insert(k, v)
    }, makeTree())
    for(var i=0; i<c; ++i) {
      checkTree(u.remove(i), t)
    }
  }

  t.end()
})

tape("update()", function(t) {
  var arr = [0, 1, 2, 3, 4, 5, 6 ]
  var u = arr.reduce(function(u, k, v) {
    return u.insert(k, v)
  }, makeTree())
  for(var iter=u.begin; iter.hasNext; iter.next()) {
    var p = iter.value
    var updated = iter.update(1000)
    t.equals(iter.value, iter.key, "ensure no mutation")
    t.equals(updated.find(iter.key).value, 1000, "ensure update applied")
    checkTree(updated, t)
    checkTree(u, t)
  }
  t.end()
})


tape("keys and values", function(t) {

  var original_keys = [ "potato", "sock", "foot", "apple", "newspaper", "gameboy" ]
  var original_values = [ 42, 10, false, "!!!", {}, null ]

  var u = makeTree()
  for(var i=0; i<original_keys.length; ++i) {
    u = u.insert(original_keys[i], original_values[i])
  }

  var zipped = iota(6).map(function(i) {
    return [ original_keys[i], original_values[i] ]
  })

  zipped.sort(function(a,b) {
    if(a[0] < b[0]) { return -1 }
    if(a[0] > b[0]) { return 1 }
    return 0
  })

  var keys = zipped.map(function(v) { return v[0] })
  var values = zipped.map(function(v) { return v[1] })

  t.same(u.keys, keys)
  t.same(u.values, values)

  t.end()
})

tape("searching", function(t) {

  var arr = [0, 1, 1, 1, 1, 2, 3, 4, 5, 6, 6 ]
  var u = arr.reduce(function(u, k, v) {
    return u.insert(k, v)
  }, makeTree())


  for(var i=0; i<arr.length; ++i) {
    if(arr[i] !== arr[i-1] && arr[i] !== arr[i+1]) {
      t.equals(u.get(arr[i]), i, "get " + arr[i])
    }
  }
  t.equals(u.get(-1), undefined, "get missing")

  t.equals(u.ge(3).index, 6, "ge simple")
  t.equals(u.ge(0.9).index, 1, "ge run start")
  t.equals(u.ge(1).index, 1, "ge run mid")
  t.equals(u.ge(1.1).index, 5, "ge run end")
  t.equals(u.ge(0).index, 0, "ge first")
  t.equals(u.ge(6).index, 9, "ge last")
  t.equals(u.ge(100).valid, false, "ge big")
  t.equals(u.ge(-1).index, 0, "ge small")

  t.equals(u.gt(3).index, 7, "gt simple")
  t.equals(u.gt(0.9).index, 1, "gt run start")
  t.equals(u.gt(1).index, 5, "gt run mid")
  t.equals(u.gt(1.1).index, 5, "gt run end")
  t.equals(u.gt(0).index, 1, "gt first")
  t.equals(u.gt(6).valid, false, "gt last")
  t.equals(u.gt(100).valid, false, "gt big")
  t.equals(u.gt(-1).index, 0, "ge small")

  t.equals(u.le(3).index, 6, "le simple")
  t.equals(u.le(0.9).index, 0, "le run start")
  t.equals(u.le(1).index, 4, "le run mid")
  t.equals(u.le(1.1).index, 4, "le run end")
  t.equals(u.le(0).index, 0, "le first")
  t.equals(u.le(6).index, 10, "le last")
  t.equals(u.le(100).index, 10, "le big")
  t.equals(u.le(-1).valid, false, "le small")
  
  t.equals(u.lt(3).index, 5, "lt simple")
  t.equals(u.lt(0.9).index, 0, "lt run start")
  t.equals(u.lt(1).index, 0, "lt run mid")
  t.equals(u.lt(1.1).index, 4, "lt run end")
  t.equals(u.lt(0).valid, false, "lt first")
  t.equals(u.lt(6).index, 8, "lt last")
  t.equals(u.lt(100).index, 10, "lt big")
  t.equals(u.lt(-1).valid, false, "lt small")

  t.equals(u.find(-1).valid, false, "find missing small")
  t.equals(u.find(10000).valid, false, "find missing big")
  t.equals(u.find(3).index, 6, "find simple")
  t.ok(u.find(1).index > 0, "find repeat")
  t.ok(u.find(1).index < 5, "find repeat")
  
  for(var i=0; i<arr.length; ++i) {
    t.equals(u.find(arr[i]).key, arr[i], "find " + i)
  }

  for(var i=0; i<arr.length; ++i) {
    t.equals(u.at(i).key, arr[i], "at " + i)
  }
  t.equals(u.at(-1).valid, false, "at missing small")
  t.equals(u.at(1000).valid, false, "at missing big")


  t.end()
})

tape("slab-sequence", function(t) {

  var tree = makeTree()

  tree=tree.insert(0, 0)
  checkTree(tree, t)
  t.same(tree.values, [0])

  tree=tree.insert(1, 1)
  checkTree(tree, t)
  t.same(tree.values, [0,1])

  tree=tree.insert(0.5, 2)
  checkTree(tree, t)
  t.same(tree.values, [0,2,1])

  tree=tree.insert(0.25, 3)
  checkTree(tree, t)
  t.same(tree.values, [0,3,2,1])

  tree=tree.remove(0)
  checkTree(tree, t)
  t.same(tree.values, [3,2,1])

  tree=tree.insert(0.375, 4)
  checkTree(tree, t)
  t.same(tree.values, [3, 4, 2, 1])

  tree=tree.remove(1)
  checkTree(tree, t)
  t.same(tree.values, [3,4,2])
  
  tree=tree.remove(0.5)
  checkTree(tree, t)
  t.same(tree.values, [3,4])

  tree=tree.remove(0.375)
  checkTree(tree, t)
  t.same(tree.values, [3])

  tree=tree.remove(0.25)
  checkTree(tree, t)
  t.same(tree.values, [])
  
  t.end()
})

tape("slab-sequence-2", function(t) {

  var u = makeTree()

  u=u.insert( 12 , 22 )
  u=u.insert( 11 , 3 )
  u=u.insert( 10 , 28 )
  u=u.insert( 13 , 16 )
  u=u.insert( 9 , 9 )
  u=u.insert( 14 , 10 )
  u=u.insert( 8 , 15 )
  u=u.insert( 15 , 29 )
  u=u.insert( 16 , 4 )
  u=u.insert( 7 , 21 )
  u=u.insert( 17 , 23 )
  u=u.insert( 6 , 2 )
  u=u.insert( 5 , 27 )
  u=u.insert( 18 , 17 )
  u=u.insert( 4 , 8 )
  u=u.insert( 31 , 11 )
  u=u.insert( 30 , 30 )
  u=u.insert( 29 , 5 )
  u=u.insert( 28 , 24 )
  u=u.insert( 27 , 18 )
  u=u.insert( 26 , 12 )
  u=u.insert( 25 , 31 )
  u=u.insert( 24 , 6 )
  u=u.insert( 23 , 25 )
  u=u.insert( 19 , 7 )
  u=u.insert( 20 , 13 )
  u=u.insert( 1 , 20 )
  u=u.insert( 0 , 14 )
  u=u.insert( 22 , 0 )
  u=u.insert( 2 , 1 )
  u=u.insert( 3 , 26 )
  u=u.insert( 21 , 19 )
  u=u.remove( 18 , 17 )
  u=u.remove( 17 , 23 )
  u=u.remove( 16 , 4 )
  u=u.remove( 15 , 29 )
  u=u.remove( 14 , 10 )
  u=u.remove( 13 , 16 )
  u=u.remove( 12 , 22 )
  u=u.remove( 6 , 2 )
  u=u.remove( 7 , 21 )
  u=u.remove( 8 , 15 )
  u=u.remove( 11 , 3 )
  u=u.remove( 4 , 8 )
  u=u.remove( 9 , 9 )
  u=u.remove( 10 , 28 )
  u=u.remove( 5 , 27 )
  u=u.remove( 31 , 11 )
  u=u.remove( 0 , 14 )
  u=u.remove( 30 , 30 )
  u=u.remove( 29 , 5 )
  u=u.remove( 1 , 20 )
  u=u.remove( 28 , 24 )
  u=u.remove( 2 , 1 )
  u=u.remove( 3 , 26 )
  u=u.remove( 27 , 18 )
  u=u.remove( 19 , 7 )
  u=u.remove( 26 , 12 )
  u=u.remove( 20 , 13 )
  u=u.remove( 25 , 31 )
  u=u.remove( 24 , 6 )
  u=u.remove( 21 , 19 )
  u=u.remove( 23 , 25 )
  u=u.remove( 22 , 0 )

  t.end()
})