diff --git a/__tests__/Distributions__Test.re b/__tests__/Distributions__Test.re
index 8d7dd906..a6757282 100644
--- a/__tests__/Distributions__Test.re
+++ b/__tests__/Distributions__Test.re
@@ -15,7 +15,7 @@ let makeTest = (~only=false, str, item1, item2) =>
 describe("Shape", () => {
   describe("Continuous", () => {
     open Distributions.Continuous;
-    let continuous = make(shape, `Linear);
+    let continuous = make(`Linear, shape);
     makeTest("minX", T.minX(continuous), 1.0);
     makeTest("maxX", T.maxX(continuous), 8.0);
     makeTest(
@@ -48,7 +48,7 @@ describe("Shape", () => {
         );
       });
       describe("when Stepwise", () => {
-        let continuous = make(shape, `Stepwise);
+        let continuous = make(`Stepwise, shape);
         makeTest(
           "at 4.0",
           T.xToY(4., continuous),
@@ -80,7 +80,7 @@ describe("Shape", () => {
       "toLinear",
       {
         let continuous =
-          make({xs: [|1., 4., 8.|], ys: [|0.1, 5., 1.0|]}, `Stepwise);
+          make(`Stepwise, {xs: [|1., 4., 8.|], ys: [|0.1, 5., 1.0|]});
         continuous |> toLinear |> E.O.fmap(getShape);
       },
       Some({
@@ -91,7 +91,7 @@ describe("Shape", () => {
     makeTest(
       "toLinear",
       {
-        let continuous = make({xs: [|0.0|], ys: [|0.3|]}, `Stepwise);
+        let continuous = make(`Stepwise, {xs: [|0.0|], ys: [|0.3|]});
         continuous |> toLinear |> E.O.fmap(getShape);
       },
       Some({xs: [|0.0|], ys: [|0.3|]}),
@@ -170,14 +170,14 @@ describe("Shape", () => {
       "integral",
       T.Integral.get(~cache=None, discrete),
       Distributions.Continuous.make(
-        {xs: [|1., 4., 8.|], ys: [|0.3, 0.8, 1.0|]},
         `Stepwise,
+        {xs: [|1., 4., 8.|], ys: [|0.3, 0.8, 1.0|]},
       ),
     );
     makeTest(
       "integral with 1 element",
       T.Integral.get(~cache=None, {xs: [|0.0|], ys: [|1.0|]}),
-      Distributions.Continuous.make({xs: [|0.0|], ys: [|1.0|]}, `Stepwise),
+      Distributions.Continuous.make(`Stepwise, {xs: [|0.0|], ys: [|1.0|]}),
     );
     makeTest(
       "integralXToY",
@@ -195,8 +195,8 @@ describe("Shape", () => {
     };
     let continuous =
       Distributions.Continuous.make(
-        {xs: [|3., 7., 14.|], ys: [|0.058, 0.082, 0.124|]},
         `Linear,
+        {xs: [|3., 7., 14.|], ys: [|0.058, 0.082, 0.124|]},
       )
       |> Distributions.Continuous.T.scaleToIntegralSum(~intendedSum=1.0);
     let mixed =
@@ -218,6 +218,7 @@ describe("Shape", () => {
       Distributions.Mixed.make(
         ~continuous=
           Distributions.Continuous.make(
+            `Linear,
             {
               xs: [|3., 7., 14.|],
               ys: [|
@@ -226,7 +227,6 @@ describe("Shape", () => {
                 0.24775224775224775,
               |],
             },
-            `Linear,
           ),
         ~discrete={xs: [|1., 4., 8.|], ys: [|0.6, 1.0, 0.4|]},
         ~discreteProbabilityMassFraction=0.5,
@@ -254,6 +254,7 @@ describe("Shape", () => {
       Distributions.Mixed.make(
         ~continuous=
           Distributions.Continuous.make(
+            `Linear,
             {
               xs: [|3., 7., 14.|],
               ys: [|
@@ -262,7 +263,6 @@ describe("Shape", () => {
                 0.24775224775224775,
               |],
             },
-            `Linear,
           ),
         ~discrete={xs: [|1., 4., 8.|], ys: [|0.6, 1.0, 0.4|]},
         ~discreteProbabilityMassFraction=0.5,
@@ -272,6 +272,7 @@ describe("Shape", () => {
       "integral",
       T.Integral.get(~cache=None, mixed),
       Distributions.Continuous.make(
+        `Linear,
         {
           xs: [|1.00007, 1.00007, 3., 4., 4.00007, 7., 8., 8.00007, 14.|],
           ys: [|
@@ -286,7 +287,6 @@ describe("Shape", () => {
             1.0,
           |],
         },
-        `Linear,
       ),
     );
   });
@@ -299,8 +299,8 @@ describe("Shape", () => {
     };
     let continuous =
       Distributions.Continuous.make(
-        {xs: [|3., 7., 14.|], ys: [|0.058, 0.082, 0.124|]},
         `Linear,
+        {xs: [|3., 7., 14.|], ys: [|0.058, 0.082, 0.124|]},
       )
       |> Distributions.Continuous.T.scaleToIntegralSum(~intendedSum=1.0);
     let mixed =
@@ -343,6 +343,7 @@ describe("Shape", () => {
       T.Integral.get(~cache=None, distPlus) |> T.toContinuous,
       Some(
         Distributions.Continuous.make(
+          `Linear,
           {
             xs: [|1.00007, 1.00007, 3., 4., 4.00007, 7., 8., 8.00007, 14.|],
             ys: [|
@@ -357,7 +358,6 @@ describe("Shape", () => {
               1.0,
             |],
           },
-          `Linear,
         ),
       ),
     );
diff --git a/src/Samples.re b/src/Samples.re
index 354e0029..7f7fd61d 100644
--- a/src/Samples.re
+++ b/src/Samples.re
@@ -105,7 +105,7 @@ module T = {
           samples |> KDE.normalSampling(_, outputXYPoints, kernelWidth);
         }
         : {xs: [||], ys: [||]};
-    let continuous = pdf |> Distributions.Continuous.fromShape;
+    let continuous = pdf |> Distributions.Continuous.make(`Linear);
     let shape = MixedShapeBuilder.buildSimple(~continuous, ~discrete);
     shape;
   };
diff --git a/src/components/DistBuilder2.re b/src/components/DistBuilder2.re
index 76fe6c0b..01fb4746 100644
--- a/src/components/DistBuilder2.re
+++ b/src/components/DistBuilder2.re
@@ -43,7 +43,9 @@ module DemoDist = {
           let distPlus =
             Distributions.DistPlus.make(
               ~shape=
-                Continuous(Distributions.Continuous.fromShape({xs, ys})),
+                Continuous(
+                  Distributions.Continuous.make(`Linear, {xs, ys}),
+                ),
               ~domain=Complete,
               ~unit=UnspecifiedDistribution,
               ~guesstimatorString=None,
diff --git a/src/components/DistBuilder3.re b/src/components/DistBuilder3.re
index ba13ac64..96fba988 100644
--- a/src/components/DistBuilder3.re
+++ b/src/components/DistBuilder3.re
@@ -52,7 +52,8 @@ module DemoDist = {
       |> E.O.fmap(shape => {
            let distPlus =
              Distributions.DistPlus.make(
-               ~shape=Continuous(Distributions.Continuous.fromShape(shape)),
+               ~shape=
+                 Continuous(Distributions.Continuous.make(`Linear, shape)),
                ~domain=Complete,
                ~unit=UnspecifiedDistribution,
                ~guesstimatorString=None,
diff --git a/src/distribution/Distributions.re b/src/distribution/Distributions.re
index 66cd40b0..15bb47c2 100644
--- a/src/distribution/Distributions.re
+++ b/src/distribution/Distributions.re
@@ -58,8 +58,7 @@ module Continuous = {
   type t = DistTypes.continuousShape;
   let getShape = (t: t) => t.xyShape;
   let interpolation = (t: t) => t.interpolation;
-  let make = (xyShape, interpolation): t => {xyShape, interpolation};
-  let fromShape = xyShape => make(xyShape, `Linear);
+  let make = (interpolation, xyShape): t => {xyShape, interpolation};
   let shapeMap = (fn, {xyShape, interpolation}: t): t => {
     xyShape: fn(xyShape),
     interpolation,
@@ -67,14 +66,12 @@ module Continuous = {
   let lastY = (t: t) => t |> getShape |> XYShape.T.lastY;
   let oShapeMap =
       (fn, {xyShape, interpolation}: t): option(DistTypes.continuousShape) =>
-    fn(xyShape) |> E.O.fmap(make(_, interpolation));
+    fn(xyShape) |> E.O.fmap(make(interpolation));
 
   let toLinear = (t: t): option(t) => {
     switch (t) {
     | {interpolation: `Stepwise, xyShape} =>
-      xyShape
-      |> XYShape.Range.stepsToContinuous
-      |> E.O.fmap(xyShape => make(xyShape, `Linear))
+      xyShape |> XYShape.Range.stepsToContinuous |> E.O.fmap(make(`Linear))
     | {interpolation: `Linear, _} => Some(t)
     };
   };
@@ -84,24 +81,23 @@ module Continuous = {
     Dist({
       type t = DistTypes.continuousShape;
       type integral = DistTypes.continuousShape;
-      let minX = shapeFn(r => r |> XYShape.T.minX);
-      let maxX = shapeFn(r => r |> XYShape.T.maxX);
+      let minX = shapeFn(XYShape.T.minX);
+      let maxX = shapeFn(XYShape.T.maxX);
       let toDiscreteProbabilityMass = _ => 0.0;
-      let mapY = (fn, t: t) =>
-        t |> getShape |> XYShape.T.mapY(fn) |> fromShape;
+      let mapY = fn => shapeMap(XYShape.T.mapY(fn));
       let toShape = (t: t): DistTypes.shape => Continuous(t);
-      let xToY = (f, {interpolation, xyShape}: t) =>
-        switch (interpolation) {
-        | `Stepwise =>
-          xyShape
-          |> XYShape.XtoY.stepwiseIncremental(f)
-          |> E.O.default(0.0)
-          |> DistTypes.MixedPoint.makeContinuous
-        | `Linear =>
-          xyShape
-          |> XYShape.XtoY.linear(f)
-          |> DistTypes.MixedPoint.makeContinuous
-        };
+      let xToY = (f, {interpolation, xyShape}: t) => {
+        (
+          switch (interpolation) {
+          | `Stepwise =>
+            xyShape
+            |> XYShape.XtoY.stepwiseIncremental(f)
+            |> E.O.default(0.0)
+          | `Linear => xyShape |> XYShape.XtoY.linear(f)
+          }
+        )
+        |> DistTypes.MixedPoint.makeContinuous;
+      };
 
       // let combineWithFn = (t1: t, t2: t, fn: (float, float) => float) => {
       //   switch(t1, t2){
@@ -110,6 +106,7 @@ module Continuous = {
       //   }
       // };
 
+      // TODO: This should work with stepwise plots.
       let integral = (~cache, t) =>
         switch (cache) {
         | Some(cache) => cache
@@ -118,13 +115,13 @@ module Continuous = {
           |> getShape
           |> XYShape.Range.integrateWithTriangles
           |> E.O.toExt("This should not have happened")
-          |> fromShape
+          |> make(`Linear)
         };
-      let truncate = (~cache=None, i, t) =>
+      let truncate = (~cache=None, length, t) =>
         t
         |> shapeMap(
              XYShape.XsConversion.proportionByProbabilityMass(
-               i,
+               length,
                integral(~cache, t).xyShape,
              ),
            );
@@ -156,7 +153,7 @@ module Discrete = {
       let integral = (~cache, t) =>
         switch (cache) {
         | Some(c) => c
-        | None => Continuous.make(XYShape.T.accumulateYs((+.), t), `Stepwise)
+        | None => Continuous.make(`Stepwise, XYShape.T.accumulateYs((+.), t))
         };
       let integralEndY = (~cache, t) =>
         t |> integral(~cache) |> Continuous.lastY;
@@ -325,12 +322,12 @@ module Mixed = {
 
           let result =
             Continuous.make(
+              `Linear,
               XYShape.Combine.combineLinear(
                 ~fn=(a, b) => a +. b,
                 Continuous.getShape(cont),
                 Continuous.getShape(dist),
               ),
-              `Linear,
             );
           result;
         };