diff --git a/kmath-core/build.gradle b/kmath-core/build.gradle
index 18be067e6..c63e518fc 100644
--- a/kmath-core/build.gradle
+++ b/kmath-core/build.gradle
@@ -2,11 +2,6 @@ plugins {
     id 'kotlin-multiplatform'
 }
 
-repositories {
-    maven { url = 'http://dl.bintray.com/kotlin/kotlin-eap' }
-    mavenCentral()
-}
-
 kotlin {
     targets {
         fromPreset(presets.jvm, 'jvm')
diff --git a/kmath-core/src/commonMain/kotlin/scientifik/kmath/linear/LinearAlgrebra.kt b/kmath-core/src/commonMain/kotlin/scientifik/kmath/linear/LinearAlgrebra.kt
index e585b884d..39931b676 100644
--- a/kmath-core/src/commonMain/kotlin/scientifik/kmath/linear/LinearAlgrebra.kt
+++ b/kmath-core/src/commonMain/kotlin/scientifik/kmath/linear/LinearAlgrebra.kt
@@ -1,9 +1,6 @@
 package scientifik.kmath.linear
 
-import scientifik.kmath.operations.DoubleField
-import scientifik.kmath.operations.Field
-import scientifik.kmath.operations.Space
-import scientifik.kmath.operations.SpaceElement
+import scientifik.kmath.operations.*
 import scientifik.kmath.structures.*
 
 /**
@@ -70,8 +67,6 @@ abstract class MatrixSpace<T : Any>(val rows: Int, val columns: Int, val field:
         result = 31 * result + field.hashCode()
         return result
     }
-
-
 }
 
 infix fun <T : Any> Matrix<T>.dot(b: Matrix<T>): Matrix<T> = this.context.multiply(this, b)
@@ -191,11 +186,11 @@ interface Vector<T : Any> : SpaceElement<Vector<T>, VectorSpace<T>>, Buffer<T>,
 typealias NDFieldFactory<T> = (IntArray) -> NDField<T>
 
 internal fun <T : Any> genericNDFieldFactory(field: Field<T>): NDFieldFactory<T> = { index -> GenericNDField(index, field) }
-internal val realNDFieldFactory: NDFieldFactory<Double> = { index -> GenericNDField(index, DoubleField) }
+internal val realNDFieldFactory: NDFieldFactory<Double> = { index -> ExtendedNDField(index, DoubleField) }
 
 
 /**
- * NDArray-based implementation of vector space. By default uses slow [SimpleNDField], but could be overridden with custom [NDField] factory.
+ * NDArray-based implementation of vector space. By default uses slow [GenericNDField], but could be overridden with custom [NDField] factory.
  */
 class ArrayMatrixSpace<T : Any>(
         rows: Int,
@@ -318,3 +313,8 @@ fun <T : Any> Vector<T>.toMatrix(): Matrix<T> {
     return Matrix.of(size, 1, context.field) { i, _ -> get(i) }
 }
 
+object VectorL2Norm: Norm<Vector<out Number>, Double> {
+    override fun norm(arg: Vector<out Number>): Double {
+        return kotlin.math.sqrt(arg.sumByDouble { it.toDouble() })
+    }
+}
diff --git a/kmath-core/src/commonMain/kotlin/scientifik/kmath/operations/Fields.kt b/kmath-core/src/commonMain/kotlin/scientifik/kmath/operations/Fields.kt
index eeba76222..3e4f47869 100644
--- a/kmath-core/src/commonMain/kotlin/scientifik/kmath/operations/Fields.kt
+++ b/kmath-core/src/commonMain/kotlin/scientifik/kmath/operations/Fields.kt
@@ -2,10 +2,20 @@ package scientifik.kmath.operations
 
 import kotlin.math.pow
 
+/**
+ * Advanced Number-like field that implements basic operations
+ */
+interface ExtendedField<N : Any> :
+        Field<N>,
+        TrigonometricOperations<N>,
+        PowerOperations<N>,
+        ExponentialOperations<N>
+
+
 /**
  * Field for real values
  */
-object RealField : Field<Real>, TrigonometricOperations<Real>, PowerOperations<Real>, ExponentialOperations<Real> {
+object RealField : ExtendedField<Real>, Norm<Real, Real> {
     override val zero: Real = Real(0.0)
     override fun add(a: Real, b: Real): Real = Real(a.value + b.value)
     override val one: Real = Real(1.0)
@@ -13,33 +23,24 @@ object RealField : Field<Real>, TrigonometricOperations<Real>, PowerOperations<R
     override fun multiply(a: Real, k: Double): Real = Real(a.value * k)
     override fun divide(a: Real, b: Real): Real = Real(a.value / b.value)
 
-    override fun sin(arg: Real): Real  = Real(kotlin.math.sin(arg.value))
+    override fun sin(arg: Real): Real = Real(kotlin.math.sin(arg.value))
     override fun cos(arg: Real): Real = Real(kotlin.math.cos(arg.value))
 
-    override fun power(arg: Real, pow: Double): Real  = Real(arg.value.pow(pow))
+    override fun power(arg: Real, pow: Double): Real = Real(arg.value.pow(pow))
 
-    override fun exp(arg: Real): Real  = Real(kotlin.math.exp(arg.value))
+    override fun exp(arg: Real): Real = Real(kotlin.math.exp(arg.value))
 
-    override fun ln(arg: Real): Real  = Real(kotlin.math.ln(arg.value))
+    override fun ln(arg: Real): Real = Real(kotlin.math.ln(arg.value))
+
+    override fun norm(arg: Real): Real = Real(kotlin.math.abs(arg.value))
 }
 
 /**
  * Real field element wrapping double.
  *
- * TODO could be replaced by inline class in kotlin 1.3 if it would allow to avoid boxing
+ * TODO inline does not work due to compiler bug. Waiting for fix for KT-27586
  */
-data class Real(val value: Double) : Number(), FieldElement<Real, RealField> {
-    /*
-     * The class uses composition instead of inheritance since Double is final
-     */
-
-    override fun toByte(): Byte = value.toByte()
-    override fun toChar(): Char = value.toChar()
-    override fun toDouble(): Double = value
-    override fun toFloat(): Float = value.toFloat()
-    override fun toInt(): Int = value.toInt()
-    override fun toLong(): Long = value.toLong()
-    override fun toShort(): Short = value.toShort()
+inline class Real(val value: Double) : FieldElement<Real, RealField> {
 
     //values are dynamically calculated to save memory
     override val self
@@ -53,19 +54,21 @@ data class Real(val value: Double) : Number(), FieldElement<Real, RealField> {
 /**
  * A field for double without boxing. Does not produce appropriate field element
  */
-object DoubleField : Field<Double>, TrigonometricOperations<Double>, PowerOperations<Double>, ExponentialOperations<Double> {
+object DoubleField : ExtendedField<Double>, Norm<Double, Double> {
     override val zero: Double = 0.0
     override fun add(a: Double, b: Double): Double = a + b
     override fun multiply(a: Double, @Suppress("PARAMETER_NAME_CHANGED_ON_OVERRIDE") b: Double): Double = a * b
     override val one: Double = 1.0
     override fun divide(a: Double, b: Double): Double = a / b
 
-    override fun sin(arg: Double): Double  = kotlin.math.sin(arg)
+    override fun sin(arg: Double): Double = kotlin.math.sin(arg)
     override fun cos(arg: Double): Double = kotlin.math.cos(arg)
 
-    override fun power(arg: Double, pow: Double): Double  = arg.pow(pow)
+    override fun power(arg: Double, pow: Double): Double = arg.pow(pow)
 
-    override fun exp(arg: Double): Double  =kotlin.math.exp(arg)
+    override fun exp(arg: Double): Double = kotlin.math.exp(arg)
 
-    override fun ln(arg: Double): Double  = kotlin.math.ln(arg)
+    override fun ln(arg: Double): Double = kotlin.math.ln(arg)
+
+    override fun norm(arg: Double): Double = kotlin.math.abs(arg)
 }
\ No newline at end of file
diff --git a/kmath-core/src/commonMain/kotlin/scientifik/kmath/operations/OptionalOperations.kt b/kmath-core/src/commonMain/kotlin/scientifik/kmath/operations/OptionalOperations.kt
index 7628cb4fc..9e5c8a801 100644
--- a/kmath-core/src/commonMain/kotlin/scientifik/kmath/operations/OptionalOperations.kt
+++ b/kmath-core/src/commonMain/kotlin/scientifik/kmath/operations/OptionalOperations.kt
@@ -45,4 +45,10 @@ interface ExponentialOperations<T> {
 }
 
 fun <T : MathElement<T, out ExponentialOperations<T>>> exp(arg: T): T = arg.context.exp(arg)
-fun <T : MathElement<T, out ExponentialOperations<T>>> ln(arg: T): T = arg.context.ln(arg)
\ No newline at end of file
+fun <T : MathElement<T, out ExponentialOperations<T>>> ln(arg: T): T = arg.context.ln(arg)
+
+interface Norm<in T, out R> {
+    fun norm(arg: T): R
+}
+
+fun <T : MathElement<T, out Norm<T, R>>, R> norm(arg: T): R = arg.context.norm(arg)
\ No newline at end of file
diff --git a/kmath-core/src/commonMain/kotlin/scientifik/kmath/structures/Buffers.kt b/kmath-core/src/commonMain/kotlin/scientifik/kmath/structures/Buffers.kt
index 3e2712f0c..b68072332 100644
--- a/kmath-core/src/commonMain/kotlin/scientifik/kmath/structures/Buffers.kt
+++ b/kmath-core/src/commonMain/kotlin/scientifik/kmath/structures/Buffers.kt
@@ -42,6 +42,7 @@ inline class ListBuffer<T>(private val list: MutableList<T>) : MutableBuffer<T>
 }
 
 class ArrayBuffer<T>(private val array: Array<T>) : MutableBuffer<T> {
+    //Can't inline because array invariant
     override val size: Int
         get() = array.size
 
diff --git a/kmath-core/src/commonMain/kotlin/scientifik/kmath/structures/ExtendedNDField.kt b/kmath-core/src/commonMain/kotlin/scientifik/kmath/structures/ExtendedNDField.kt
new file mode 100644
index 000000000..6392aeec6
--- /dev/null
+++ b/kmath-core/src/commonMain/kotlin/scientifik/kmath/structures/ExtendedNDField.kt
@@ -0,0 +1,39 @@
+package scientifik.kmath.structures
+
+import scientifik.kmath.operations.*
+
+
+/**
+ * NDField that supports [ExtendedField] operations on its elements
+ */
+class ExtendedNDField<N: Any>(shape: IntArray, override val field: ExtendedField<N>) : NDField<N>(shape, field),
+        TrigonometricOperations<NDArray<N>>,
+        PowerOperations<NDArray<N>>,
+        ExponentialOperations<NDArray<N>> {
+
+    override fun produceStructure(initializer: (IntArray) -> N): NDStructure<N> {
+        return genericNdStructure(shape, initializer)
+    }
+
+    override fun power(arg: NDArray<N>, pow: Double): NDArray<N> {
+        return arg.transform { d -> with(field){power(d,pow)} }
+    }
+
+    override fun exp(arg: NDArray<N>): NDArray<N> {
+        return arg.transform { d -> with(field){exp(d)} }
+    }
+
+    override fun ln(arg: NDArray<N>): NDArray<N> {
+        return arg.transform { d -> with(field){ln(d)} }
+    }
+
+    override fun sin(arg: NDArray<N>): NDArray<N> {
+        return arg.transform { d -> with(field){sin(d)} }
+    }
+
+    override fun cos(arg: NDArray<N>): NDArray<N> {
+        return arg.transform { d -> with(field){cos(d)} }
+    }
+}
+
+
diff --git a/kmath-core/src/commonMain/kotlin/scientifik/kmath/structures/NDField.kt b/kmath-core/src/commonMain/kotlin/scientifik/kmath/structures/NDField.kt
index 7b991200b..74bffa7ad 100644
--- a/kmath-core/src/commonMain/kotlin/scientifik/kmath/structures/NDField.kt
+++ b/kmath-core/src/commonMain/kotlin/scientifik/kmath/structures/NDField.kt
@@ -1,5 +1,6 @@
 package scientifik.kmath.structures
 
+import scientifik.kmath.operations.DoubleField
 import scientifik.kmath.operations.Field
 import scientifik.kmath.operations.FieldElement
 
@@ -14,7 +15,7 @@ class ShapeMismatchException(val expected: IntArray, val actual: IntArray) : Run
  * @param field - operations field defined on individual array element
  * @param T the type of the element contained in NDArray
  */
-abstract class NDField<T>(val shape: IntArray, val field: Field<T>) : Field<NDArray<T>> {
+abstract class NDField<T>(val shape: IntArray, open val field: Field<T>) : Field<NDArray<T>> {
 
     abstract fun produceStructure(initializer: (IntArray) -> T): NDStructure<T>
 
@@ -173,7 +174,7 @@ object NDArrays {
      * Create a platform-optimized NDArray of doubles
      */
     fun realNDArray(shape: IntArray, initializer: (IntArray) -> Double = { 0.0 }): NDArray<Double> {
-        return RealNDField(shape).produce(initializer)
+        return ExtendedNDField(shape, DoubleField).produce(initializer)
     }
 
     fun real1DArray(dim: Int, initializer: (Int) -> Double = { _ -> 0.0 }): NDArray<Double> {
@@ -188,7 +189,7 @@ object NDArrays {
         return realNDArray(intArrayOf(dim1, dim2, dim3)) { initializer(it[0], it[1], it[2]) }
     }
 
-    inline fun produceReal(shape: IntArray, block: RealNDField.() -> RealNDArray) = RealNDField(shape).run(block)
+    inline fun produceReal(shape: IntArray, block: ExtendedNDField<Double>.() -> NDArray<Double>) = ExtendedNDField(shape, DoubleField).run(block)
 
 //    /**
 //     * Simple boxing NDField
diff --git a/kmath-core/src/commonMain/kotlin/scientifik/kmath/structures/RealNDField.kt b/kmath-core/src/commonMain/kotlin/scientifik/kmath/structures/RealNDField.kt
deleted file mode 100644
index 2ba5fd706..000000000
--- a/kmath-core/src/commonMain/kotlin/scientifik/kmath/structures/RealNDField.kt
+++ /dev/null
@@ -1,46 +0,0 @@
-package scientifik.kmath.structures
-
-import scientifik.kmath.operations.DoubleField
-import scientifik.kmath.operations.ExponentialOperations
-import scientifik.kmath.operations.PowerOperations
-import scientifik.kmath.operations.TrigonometricOperations
-import kotlin.math.*
-
-typealias RealNDArray = NDArray<Double>
-
-
-class RealNDField(shape: IntArray) : NDField<Double>(shape, DoubleField),
-        TrigonometricOperations<RealNDArray>,
-        PowerOperations<RealNDArray>,
-        ExponentialOperations<RealNDArray> {
-
-    override fun produceStructure(initializer: (IntArray) -> Double): NDStructure<Double> {
-        return genericNdStructure(shape, initializer)
-    }
-
-    override fun power(arg: RealNDArray, pow: Double): RealNDArray {
-        return arg.transform { d -> d.pow(pow) }
-    }
-
-    override fun exp(arg: RealNDArray): RealNDArray {
-        return arg.transform { d -> exp(d) }
-    }
-
-    override fun ln(arg: RealNDArray): RealNDArray {
-        return arg.transform { d -> ln(d) }
-    }
-
-    override fun sin(arg: RealNDArray): RealNDArray {
-        return arg.transform { d -> sin(d) }
-    }
-
-    override fun cos(arg: RealNDArray): RealNDArray {
-        return arg.transform { d -> cos(d) }
-    }
-
-    fun abs(arg: RealNDArray): RealNDArray {
-        return arg.transform { d -> abs(d) }
-    }
-}
-
-
diff --git a/kmath-core/src/commonTest/kotlin/scientifik/kmath/operations/RealFieldTest.kt b/kmath-core/src/commonTest/kotlin/scientifik/kmath/operations/RealFieldTest.kt
index b07158cc3..0d33204df 100644
--- a/kmath-core/src/commonTest/kotlin/scientifik/kmath/operations/RealFieldTest.kt
+++ b/kmath-core/src/commonTest/kotlin/scientifik/kmath/operations/RealFieldTest.kt
@@ -6,9 +6,11 @@ import kotlin.test.assertEquals
 class RealFieldTest {
     @Test
     fun testSqrt() {
+
+        //fails because KT-27586
         val sqrt = with(RealField) {
-            sqrt(25 * one)
+            sqrt(  25 * one)
         }
-        assertEquals(5.0, sqrt.toDouble())
+        assertEquals(5.0, sqrt.value)
     }
 }
\ No newline at end of file
diff --git a/kmath-core/src/commonTest/kotlin/scientifik/kmath/structures/RealNDFieldTest.kt b/kmath-core/src/commonTest/kotlin/scientifik/kmath/structures/NumberNDFieldTest.kt
similarity index 68%
rename from kmath-core/src/commonTest/kotlin/scientifik/kmath/structures/RealNDFieldTest.kt
rename to kmath-core/src/commonTest/kotlin/scientifik/kmath/structures/NumberNDFieldTest.kt
index 179fb5ade..844535fa8 100644
--- a/kmath-core/src/commonTest/kotlin/scientifik/kmath/structures/RealNDFieldTest.kt
+++ b/kmath-core/src/commonTest/kotlin/scientifik/kmath/structures/NumberNDFieldTest.kt
@@ -1,5 +1,8 @@
 package scientifik.kmath.structures
 
+import scientifik.kmath.linear.Vector
+import scientifik.kmath.linear.VectorL2Norm
+import scientifik.kmath.operations.Norm
 import scientifik.kmath.structures.NDArrays.produceReal
 import scientifik.kmath.structures.NDArrays.real2DArray
 import kotlin.math.abs
@@ -7,7 +10,7 @@ import kotlin.math.pow
 import kotlin.test.Test
 import kotlin.test.assertEquals
 
-class RealNDFieldTest {
+class NumberNDFieldTest {
     val array1 = real2DArray(3, 3) { i, j -> (i + j).toDouble() }
     val array2 = real2DArray(3, 3) { i, j -> (i - j).toDouble() }
 
@@ -46,14 +49,22 @@ class RealNDFieldTest {
     @Test
     fun testLibraryFunction() {
         val abs: (Double) -> Double = ::abs
-        val result = abs(array1)
-        assertEquals(10.0, result[1,1])
+        val result = abs(array2)
+        assertEquals(2.0, result[0,2])
+    }
+
+    object L2Norm: Norm<NDArray<out Number>, Double> {
+        override fun norm(arg: NDArray<out Number>): Double {
+            return kotlin.math.sqrt(arg.sumByDouble { it.second.toDouble() })
+        }
     }
 
     @Test
-    fun testAbs(){
-        val res = produceReal(array1.shape){
-           1 + abs(array1) + exp(array2)
+    fun testInternalContext(){
+        produceReal(array1.shape){
+            with(L2Norm) {
+                1 + norm(array1) + exp(array2)
+            }
         }
     }
 }
diff --git a/kmath-io/build.gradle b/kmath-io/build.gradle
new file mode 100644
index 000000000..d0d93262e
--- /dev/null
+++ b/kmath-io/build.gradle
@@ -0,0 +1,53 @@
+plugins {
+    id 'kotlin-multiplatform'
+}
+
+kotlin {
+    targets {
+        fromPreset(presets.jvm, 'jvm')
+        fromPreset(presets.js, 'js')
+        // For ARM, preset should be changed to presets.iosArm32 or presets.iosArm64
+        // For Linux, preset should be changed to e.g. presets.linuxX64
+        // For MacOS, preset should be changed to e.g. presets.macosX64
+        //fromPreset(presets.mingwX64, 'mingw')
+    }
+    sourceSets {
+        commonMain {
+            dependencies {
+                api project(":kmath-core")
+                implementation 'org.jetbrains.kotlin:kotlin-stdlib-common'
+            }
+        }
+        commonTest {
+            dependencies {
+                implementation 'org.jetbrains.kotlin:kotlin-test-common'
+                implementation 'org.jetbrains.kotlin:kotlin-test-annotations-common'
+            }
+        }
+        jvmMain {
+            dependencies {
+                implementation 'org.jetbrains.kotlin:kotlin-stdlib-jdk8'
+            }
+        }
+        jvmTest {
+            dependencies {
+                implementation 'org.jetbrains.kotlin:kotlin-test'
+                implementation 'org.jetbrains.kotlin:kotlin-test-junit'
+            }
+        }
+        jsMain {
+            dependencies {
+                implementation 'org.jetbrains.kotlin:kotlin-stdlib-js'
+            }
+        }
+        jsTest {
+            dependencies {
+                implementation 'org.jetbrains.kotlin:kotlin-test-js'
+            }
+        }
+//        mingwMain {
+//        }
+//        mingwTest {
+//        }
+    }
+}
diff --git a/kmath-jmh/build.gradle b/kmath-jmh/build.gradle
index a16bf3022..97337cb40 100644
--- a/kmath-jmh/build.gradle
+++ b/kmath-jmh/build.gradle
@@ -4,11 +4,6 @@ plugins {
     id "me.champeau.gradle.jmh" version "0.4.7"
 }
 
-repositories {
-    maven { url = 'http://dl.bintray.com/kotlin/kotlin-eap' }
-    mavenCentral()
-}
-
 dependencies {
     implementation project(':kmath-core')
     jmh 'org.jetbrains.kotlin:kotlin-stdlib-jdk8'