ndarray.js

var iota = require("iota-array")
var isBuffer = require("is-buffer")

var hasTypedArrays  = ((typeof Float64Array) !== "undefined")

function compare1st(a, b) {
  return a[0] - b[0]
}

function order() {
  var stride = this.stride
  var terms = new Array(stride.length)
  var i
  for(i=0; i<terms.length; ++i) {
    terms[i] = [Math.abs(stride[i]), i]
  }
  terms.sort(compare1st)
  var result = new Array(terms.length)
  for(i=0; i<result.length; ++i) {
    result[i] = terms[i][1]
  }
  return result
}

function compileConstructor(dtype, dimension) {
  var className = ["View", dimension, "d", dtype].join("")
  if(dimension < 0) {
    className = "View_Nil" + dtype
  }
  var useGetters = (dtype === "generic")

  if(dimension === -1) {
    //Special case for trivial arrays
    var code =
      "function "+className+"(a){this.data=a;};\
var proto="+className+".prototype;\
proto.dtype='"+dtype+"';\
proto.index=function(){return -1};\
proto.size=0;\
proto.dimension=-1;\
proto.shape=proto.stride=proto.order=[];\
proto.lo=proto.hi=proto.transpose=proto.step=\
function(){return new "+className+"(this.data);};\
proto.get=proto.set=function(){};\
proto.pick=function(){return null};\
return function construct_"+className+"(a){return new "+className+"(a);}"
    var procedure = new Function(code)
    return procedure()
  } else if(dimension === 0) {
    //Special case for 0d arrays
    var code =
      "function "+className+"(a,d) {\
this.data = a;\
this.offset = d\
};\
var proto="+className+".prototype;\
proto.dtype='"+dtype+"';\
proto.index=function(){return this.offset};\
proto.dimension=0;\
proto.size=1;\
proto.shape=\
proto.stride=\
proto.order=[];\
proto.lo=\
proto.hi=\
proto.transpose=\
proto.step=function "+className+"_copy() {\
return new "+className+"(this.data,this.offset)\
};\
proto.pick=function "+className+"_pick(){\
return TrivialArray(this.data);\
};\
proto.valueOf=proto.get=function "+className+"_get(){\
return "+(useGetters ? "this.data.get(this.offset)" : "this.data[this.offset]")+
"};\
proto.set=function "+className+"_set(v){\
return "+(useGetters ? "this.data.set(this.offset,v)" : "this.data[this.offset]=v")+"\
};\
return function construct_"+className+"(a,b,c,d){return new "+className+"(a,d)}"
    var procedure = new Function("TrivialArray", code)
    return procedure(CACHED_CONSTRUCTORS[dtype][0])
  }

  var code = ["'use strict'"]

  //Create constructor for view
  var indices = iota(dimension)
  var args = indices.map(function(i) { return "i"+i })
  var index_str = "this.offset+" + indices.map(function(i) {
        return "this.stride[" + i + "]*i" + i
      }).join("+")
  var shapeArg = indices.map(function(i) {
      return "b"+i
    }).join(",")
  var strideArg = indices.map(function(i) {
      return "c"+i
    }).join(",")
  code.push(
    "function "+className+"(a," + shapeArg + "," + strideArg + ",d){this.data=a",
      "this.shape=[" + shapeArg + "]",
      "this.stride=[" + strideArg + "]",
      "this.offset=d|0}",
    "var proto="+className+".prototype",
    "proto.dtype='"+dtype+"'",
    "proto.dimension="+dimension)

  //view.size:
  code.push("Object.defineProperty(proto,'size',{get:function "+className+"_size(){\
return "+indices.map(function(i) { return "this.shape["+i+"]" }).join("*"),
"}})")

  //view.order:
  if(dimension === 1) {
    code.push("proto.order=[0]")
  } else {
    code.push("Object.defineProperty(proto,'order',{get:")
    if(dimension < 4) {
      code.push("function "+className+"_order(){")
      if(dimension === 2) {
        code.push("return (Math.abs(this.stride[0])>Math.abs(this.stride[1]))?[1,0]:[0,1]}})")
      } else if(dimension === 3) {
        code.push(
"var s0=Math.abs(this.stride[0]),s1=Math.abs(this.stride[1]),s2=Math.abs(this.stride[2]);\
if(s0>s1){\
if(s1>s2){\
return [2,1,0];\
}else if(s0>s2){\
return [1,2,0];\
}else{\
return [1,0,2];\
}\
}else if(s0>s2){\
return [2,0,1];\
}else if(s2>s1){\
return [0,1,2];\
}else{\
return [0,2,1];\
}}})")
      }
    } else {
      code.push("ORDER})")
    }
  }

  //view.set(i0, ..., v):
  code.push(
"proto.set=function "+className+"_set("+args.join(",")+",v){")
  if(useGetters) {
    code.push("return this.data.set("+index_str+",v)}")
  } else {
    code.push("return this.data["+index_str+"]=v}")
  }

  //view.get(i0, ...):
  code.push("proto.get=function "+className+"_get("+args.join(",")+"){")
  if(useGetters) {
    code.push("return this.data.get("+index_str+")}")
  } else {
    code.push("return this.data["+index_str+"]}")
  }

  //view.index:
  code.push(
    "proto.index=function "+className+"_index(", args.join(), "){return "+index_str+"}")

  //view.hi():
  code.push("proto.hi=function "+className+"_hi("+args.join(",")+"){return new "+className+"(this.data,"+
    indices.map(function(i) {
      return ["(typeof i",i,"!=='number'||i",i,"<0)?this.shape[", i, "]:i", i,"|0"].join("")
    }).join(",")+","+
    indices.map(function(i) {
      return "this.stride["+i + "]"
    }).join(",")+",this.offset)}")

  //view.lo():
  var a_vars = indices.map(function(i) { return "a"+i+"=this.shape["+i+"]" })
  var c_vars = indices.map(function(i) { return "c"+i+"=this.stride["+i+"]" })
  code.push("proto.lo=function "+className+"_lo("+args.join(",")+"){var b=this.offset,d=0,"+a_vars.join(",")+","+c_vars.join(","))
  for(var i=0; i<dimension; ++i) {
    code.push(
"if(typeof i"+i+"==='number'&&i"+i+">=0){\
d=i"+i+"|0;\
b+=c"+i+"*d;\
a"+i+"-=d}")
  }
  code.push("return new "+className+"(this.data,"+
    indices.map(function(i) {
      return "a"+i
    }).join(",")+","+
    indices.map(function(i) {
      return "c"+i
    }).join(",")+",b)}")

  //view.step():
  code.push("proto.step=function "+className+"_step("+args.join(",")+"){var "+
    indices.map(function(i) {
      return "a"+i+"=this.shape["+i+"]"
    }).join(",")+","+
    indices.map(function(i) {
      return "b"+i+"=this.stride["+i+"]"
    }).join(",")+",c=this.offset,d=0,ceil=Math.ceil")
  for(var i=0; i<dimension; ++i) {
    code.push(
"if(typeof i"+i+"==='number'){\
d=i"+i+"|0;\
if(d<0){\
c+=b"+i+"*(a"+i+"-1);\
a"+i+"=ceil(-a"+i+"/d)\
}else{\
a"+i+"=ceil(a"+i+"/d)\
}\
b"+i+"*=d\
}")
  }
  code.push("return new "+className+"(this.data,"+
    indices.map(function(i) {
      return "a" + i
    }).join(",")+","+
    indices.map(function(i) {
      return "b" + i
    }).join(",")+",c)}")

  //view.transpose():
  var tShape = new Array(dimension)
  var tStride = new Array(dimension)
  for(var i=0; i<dimension; ++i) {
    tShape[i] = "a[i"+i+"]"
    tStride[i] = "b[i"+i+"]"
  }
  code.push("proto.transpose=function "+className+"_transpose("+args+"){"+
    args.map(function(n,idx) { return n + "=(" + n + "===undefined?" + idx + ":" + n + "|0)"}).join(";"),
    "var a=this.shape,b=this.stride;return new "+className+"(this.data,"+tShape.join(",")+","+tStride.join(",")+",this.offset)}")

  //view.pick():
  code.push("proto.pick=function "+className+"_pick("+args+"){var a=[],b=[],c=this.offset")
  for(var i=0; i<dimension; ++i) {
    code.push("if(typeof i"+i+"==='number'&&i"+i+">=0){c=(c+this.stride["+i+"]*i"+i+")|0}else{a.push(this.shape["+i+"]);b.push(this.stride["+i+"])}")
  }
  code.push("var ctor=CTOR_LIST[a.length+1];return ctor(this.data,a,b,c)}")

  //Add return statement
  code.push("return function construct_"+className+"(data,shape,stride,offset){return new "+className+"(data,"+
    indices.map(function(i) {
      return "shape["+i+"]"
    }).join(",")+","+
    indices.map(function(i) {
      return "stride["+i+"]"
    }).join(",")+",offset)}")

  //Compile procedure
  var procedure = new Function("CTOR_LIST", "ORDER", code.join("\n"))
  return procedure(CACHED_CONSTRUCTORS[dtype], order)
}

function arrayDType(data) {
  if(isBuffer(data)) {
    return "buffer"
  }
  if(hasTypedArrays) {
    switch(Object.prototype.toString.call(data)) {
      case "[object Float64Array]":
        return "float64"
      case "[object Float32Array]":
        return "float32"
      case "[object Int8Array]":
        return "int8"
      case "[object Int16Array]":
        return "int16"
      case "[object Int32Array]":
        return "int32"
      case "[object Uint8Array]":
        return "uint8"
      case "[object Uint16Array]":
        return "uint16"
      case "[object Uint32Array]":
        return "uint32"
      case "[object Uint8ClampedArray]":
        return "uint8_clamped"
    }
  }
  if(Array.isArray(data)) {
    return "array"
  }
  return "generic"
}

var CACHED_CONSTRUCTORS = {
  "float32":[],
  "float64":[],
  "int8":[],
  "int16":[],
  "int32":[],
  "uint8":[],
  "uint16":[],
  "uint32":[],
  "array":[],
  "uint8_clamped":[],
  "buffer":[],
  "generic":[]
}

;(function() {
  for(var id in CACHED_CONSTRUCTORS) {
    CACHED_CONSTRUCTORS[id].push(compileConstructor(id, -1))
  }
});

function wrappedNDArrayCtor(data, shape, stride, offset) {
  if(data === undefined) {
    var ctor = CACHED_CONSTRUCTORS.array[0]
    return ctor([])
  } else if(typeof data === "number") {
    data = [data]
  }
  if(shape === undefined) {
    shape = [ data.length ]
  }
  var d = shape.length
  if(stride === undefined) {
    stride = new Array(d)
    for(var i=d-1, sz=1; i>=0; --i) {
      stride[i] = sz
      sz *= shape[i]
    }
  }
  if(offset === undefined) {
    offset = 0
    for(var i=0; i<d; ++i) {
      if(stride[i] < 0) {
        offset -= (shape[i]-1)*stride[i]
      }
    }
  }
  var dtype = arrayDType(data)
  var ctor_list = CACHED_CONSTRUCTORS[dtype]
  while(ctor_list.length <= d+1) {
    ctor_list.push(compileConstructor(dtype, ctor_list.length-1))
  }
  var ctor = ctor_list[d+1]
  return ctor(data, shape, stride, offset)
}

module.exports = wrappedNDArrayCtor