diff --git a/__tests__/chart/ChartLoader.test.ts b/__tests__/chart/ChartLoader.test.ts
new file mode 100644
index 0000000..8ce8ef4
--- /dev/null
+++ b/__tests__/chart/ChartLoader.test.ts
@@ -0,0 +1,46 @@
+import { ChartLoader } from "../../src/chart";
+import { isPerformanceCalculator, PerformanceCalculator } from "../../src/performance/performance-types";
+
+import cruiseAirspeedJson from "./chase/da40-cruise-airspeed.json";
+import cruiseAirspeedProjJson from "./chase/wpd/da40-cruise-airspeed.wpd.json";
+
+describe("ChartLoader", () => {
+  describe("load()", () => {
+    const instance = ChartLoader.create(new URL("http://localhost"), fetchTestJson);
+    it("loads the cruise-airspeed chart", async () => {
+      const chart = await instance.load("http://localhost/cruise-airspeed.json");
+      expect(isPerformanceCalculator(chart)).toBe(true);
+      expect(chart.meta.src.href).toEqual("http://localhost/cruise-airspeed.json");
+      expect(chart.meta.image.src.href).toEqual("http://localhost/cruise-airspeed.png");
+      expect(chart.meta.image.size).toEqual([978, 692]);
+      const solution = (chart as unknown as PerformanceCalculator).calculate({
+        outsideAirTemperature: {
+          value: 15,
+          unit: "degrees celsius",
+        },
+        power: {
+          value: 55,
+          unit: "percent",
+        },
+        pressureAltitude: {
+          value: 5_000,
+          unit: "feet",
+        },
+      });
+      const { vars: { trueAirspeed } } = solution;
+      expect(trueAirspeed.unit).toEqual("knots");
+      expect(trueAirspeed.value).toBeCloseTo(118.46);
+    });
+  });
+});
+
+function fetchTestJson<B>(url: URL): Promise<B> {
+  switch (url.href) {
+    case "http://localhost/cruise-airspeed.json":
+      return Promise.resolve(cruiseAirspeedJson) as Promise<B>;
+    case "http://localhost/cruise-airspeed.wpd.json":
+      return Promise.resolve(cruiseAirspeedProjJson) as Promise<B>;
+    default:
+      throw Error("Unsupported URL.");
+  }
+}
diff --git a/__tests__/chart/Flow.test.ts b/__tests__/chart/Flow.test.ts
deleted file mode 100644
index 517c436..0000000
--- a/__tests__/chart/Flow.test.ts
+++ /dev/null
@@ -1,68 +0,0 @@
-import {Flow} from "../../src/chart/Flow";
-
-describe("Flow", () => {
-    describe("compare()", () => {
-        it("should compare correctly for flow: DOWN", () => {
-            expect(Flow.DOWN.compare([3, 1], [1, 3])).toBeLessThan(0);
-            expect(Flow.DOWN.compare([1, 3], [3, 1])).toBeGreaterThan(0);
-            expect(Flow.DOWN.compare([1, 3], [3, 3])).toEqual(0);
-        });
-        it("should compare correctly for flow: LEFT", () => {
-            expect(Flow.LEFT.compare([1, 3], [3, 1])).toBeGreaterThan(0);
-            expect(Flow.LEFT.compare([3, 1], [1, 3])).toBeLessThan(0);
-            expect(Flow.LEFT.compare([3, 1], [3, 3])).toEqual(0);
-        });
-        it("should compare correctly for flow: RIGHT", () => {
-            expect(Flow.RIGHT.compare([1, 3], [3, 1])).toBeLessThan(0);
-            expect(Flow.RIGHT.compare([3, 1], [1, 3])).toBeGreaterThan(0);
-            expect(Flow.RIGHT.compare([3, 1], [3, 3])).toEqual(0);
-        });
-        it("should compare correctly for flow: UP", () => {
-            expect(Flow.UP.compare([3, 1], [1, 3])).toBeGreaterThan(0);
-            expect(Flow.UP.compare([1, 3], [3, 1])).toBeLessThan(0);
-            expect(Flow.UP.compare([1, 3], [3, 3])).toEqual(0);
-        });
-    });
-    describe("position()", () => {
-        it("should extract correctly for flow: DOWN", () => {
-            expect(Flow.DOWN.position([1, 2])).toEqual(2);
-        });
-        it("should extract correctly for flow: LEFT", () => {
-            expect(Flow.LEFT.position([1, 2])).toEqual(1);
-        });
-        it("should extract correctly for flow: RIGHT", () => {
-            expect(Flow.RIGHT.position([1, 2])).toEqual(1);
-        });
-        it("should extract correctly for flow: UP", () => {
-            expect(Flow.UP.position([1, 2])).toEqual(2);
-        });
-    });
-    describe("sort()", () => {
-        it("should sort correctly for flow: DOWN", () => {
-            expect(Flow.DOWN.sort([[1, 3], [2, 2], [3, 1]])).toEqual([[3, 1], [2, 2], [1, 3]]);
-        });
-        it("should sort correctly for flow: LEFT", () => {
-            expect(Flow.LEFT.sort([[1, 3], [2, 2], [3, 1]])).toEqual([[3, 1], [2, 2], [1, 3]]);
-        });
-        it("should sort correctly for flow: RIGHT", () => {
-            expect(Flow.RIGHT.sort([[1, 3], [2, 2], [3, 1]])).toEqual([[1, 3], [2, 2], [3, 1]]);
-        });
-        it("should sort correctly for flow: DOWN", () => {
-            expect(Flow.UP.sort([[1, 3], [2, 2], [3, 1]])).toEqual([[1, 3], [2, 2], [3, 1]]);
-        });
-    });
-    describe("value()", () => {
-        it("should extract correctly for flow: DOWN", () => {
-            expect(Flow.DOWN.value([1, 2])).toEqual(1);
-        });
-        it("should extract correctly for flow: LEFT", () => {
-            expect(Flow.LEFT.value([1, 2])).toEqual(2);
-        });
-        it("should extract correctly for flow: RIGHT", () => {
-            expect(Flow.RIGHT.value([1, 2])).toEqual(2);
-        });
-        it("should extract correctly for flow: UP", () => {
-            expect(Flow.UP.value([1, 2])).toEqual(1);
-        });
-    });
-});
diff --git a/__tests__/chart/chase/ChaseChart.test.ts b/__tests__/chart/chase/ChaseChart.test.ts
new file mode 100644
index 0000000..8f046e8
--- /dev/null
+++ b/__tests__/chart/chase/ChaseChart.test.ts
@@ -0,0 +1,196 @@
+import { WpdProject } from "../../../src/chart/chase/wpd";
+import { WpdProjectDef } from "../../../src/chart/chase/wpd";
+import { ChaseChartDef } from "../../../src/chart/chase/chase-types";
+
+import cruiseAirspeedJson from "./da40-cruise-airspeed.json";
+import cruiseAirspeedProjJson from "./wpd/da40-cruise-airspeed.wpd.json";
+import landingDistanceFlapsUpJson from "./da40-landing-distance-flaps-up.json";
+import landingDistanceFlapsUpProjJson from "./wpd/da40-landing-distance-flaps-up.wpd.json";
+import landingDistanceJson from "./da40-landing-distance.json";
+import landingDistanceProjJson from "./wpd/da40-landing-distance.wpd.json";
+import takeoffClimbRateJson from "./da40-takeoff-climb-rate.json";
+import takeoffClimbRateProjJson from "./wpd/da40-takeoff-climb-rate.wpd.json";
+import takeoffDistanceJson from "./da40-takeoff-distance.json";
+import takeoffDistanceProjJson from "./wpd/da40-takeoff-distance.wpd.json";
+import { ChaseChart } from "../../../src/chart/chase";
+
+describe("ChaseChart", () => {
+  const src = new URL("https://bogus.com/chart.json");
+  describe("create()", () => {
+    const proj = WpdProject.create(takeoffDistanceProjJson as unknown as WpdProjectDef);
+    const chart = ChaseChart.create(takeoffDistanceJson as unknown as ChaseChartDef, proj, src);
+    it("correctly extracts inputs and outputs", () => {
+      expect(chart.inputs).toEqual({
+        obstacleHeight: {
+          range: [0, 15],
+          unit: "meters",
+        },
+        outsideAirTemperature: {
+          range: [-20, 50],
+          unit: "degrees celsius",
+        },
+        pressureAltitude: {
+          range: [0, 10000],
+          unit: "feet",
+        },
+        weight: {
+          range: [850, 1200],
+          unit: "kilograms",
+        },
+        windComponent: {
+          range: [-5, 20],
+          unit: "knots",
+        },
+      });
+      expect(chart.outputs).toEqual({
+        takeoffDistance: {
+          unit: "meters",
+        },
+      });
+    });
+    it("throws an error if inputs are missing", () => {
+      expect(() => chart.calculate({})).toThrow("Missing inputs: obstacleHeight, outsideAirTemperature, pressureAltitude, weight, windComponent");
+    });
+  });
+  describe("calculate()", () => {
+    describe("da40-cruise-airspeed.json", () => {
+      const proj = WpdProject.create(cruiseAirspeedProjJson as unknown as WpdProjectDef);
+      const chart = ChaseChart.create(cruiseAirspeedJson as unknown as ChaseChartDef, proj, src);
+      it("calculates cruise airspeed", () => {
+        const solution = chart.calculate({
+          outsideAirTemperature: {
+            value: 15,
+            unit: "degrees celsius",
+          },
+          power: {
+            value: 55,
+            unit: "percent",
+          },
+          pressureAltitude: {
+            value: 5_000,
+            unit: "feet",
+          },
+        });
+        const { vars: { trueAirspeed } } = solution;
+        expect(trueAirspeed.unit).toEqual("knots");
+        expect(trueAirspeed.value).toBeCloseTo(118.46);
+      });
+    });
+    describe("da40-landing-distance.json", () => {
+      const proj = WpdProject.create(landingDistanceProjJson as unknown as WpdProjectDef);
+      const chart = ChaseChart.create(landingDistanceJson as unknown as ChaseChartDef, proj, src);
+      it("calculates landing distance", () => {
+        const solution = chart.calculate({
+          obstacleHeight: {
+            value: 15,
+            unit: "meters",
+          },
+          outsideAirTemperature: {
+            value: 15,
+            unit: "degrees celsius",
+          },
+          pressureAltitude: {
+            value: 2_000,
+            unit: "feet",
+          },
+          weight: {
+            value: 1_000,
+            unit: "kilograms",
+          },
+          windComponent: {
+            value: 10,
+            unit: "knots",
+          },
+        });
+        const { vars: { landingDistance } } = solution;
+        expect(landingDistance.unit).toEqual("meters");
+        expect(landingDistance.value).toBeCloseTo(422.70);
+      });
+    });
+    describe("da40-landing-distance-flaps-up.json", () => {
+      const proj = WpdProject.create(landingDistanceFlapsUpProjJson as unknown as WpdProjectDef);
+      const chart = ChaseChart.create(landingDistanceFlapsUpJson as unknown as ChaseChartDef, proj, src);
+      it("calculates flaps-up landing distance", () => {
+        const solution = chart.calculate({
+          obstacleHeight: {
+            value: 15,
+            unit: "meters",
+          },
+          outsideAirTemperature: {
+            value: 10,
+            unit: "degrees celsius",
+          },
+          pressureAltitude: {
+            value: 4_000,
+            unit: "feet",
+          },
+          weight: {
+            value: 1_000,
+            unit: "kilograms",
+          },
+          windComponent: {
+            value: 10,
+            unit: "knots",
+          },
+        });
+        const { vars: { landingDistance } } = solution;
+        expect(landingDistance.unit).toEqual("meters");
+        expect(landingDistance.value).toBeCloseTo(567.51);
+      });
+    });
+    describe("da40-takeoff-climb-rate.json", () => {
+      const proj = WpdProject.create(takeoffClimbRateProjJson as unknown as WpdProjectDef);
+      const chart = ChaseChart.create(takeoffClimbRateJson as unknown as ChaseChartDef, proj, src);
+      it("calculates takeoff climb rate", () => {
+        const solution = chart.calculate({
+          outsideAirTemperature: {
+            value: 15,
+            unit: "degrees celsius",
+          },
+          pressureAltitude: {
+            value: 2_000,
+            unit: "feet",
+          },
+          weight: {
+            value: 1_000,
+            unit: "kilograms",
+          },
+        });
+        const { vars: { climbRate } } = solution;
+        expect(climbRate.unit).toEqual("feet per minute");
+        expect(climbRate.value).toBeCloseTo(987.17);
+      });
+    });
+    describe("da40-takeoff-distance.json", () => {
+      const proj = WpdProject.create(takeoffDistanceProjJson as unknown as WpdProjectDef);
+      const chart = ChaseChart.create(takeoffDistanceJson as unknown as ChaseChartDef, proj, src);
+      it("calculates takeoff distance", () => {
+        const solution = chart.calculate({
+          obstacleHeight: {
+            value: 15,
+            unit: "meters",
+          },
+          outsideAirTemperature: {
+            value: 15,
+            unit: "degrees celsius",
+          },
+          pressureAltitude: {
+            value: 2_000,
+            unit: "feet",
+          },
+          weight: {
+            value: 1_000,
+            unit: "kilograms",
+          },
+          windComponent: {
+            value: 10,
+            unit: "knots",
+          },
+        });
+        const { vars: { takeoffDistance } } = solution;
+        expect(takeoffDistance.unit).toEqual("meters");
+        expect(takeoffDistance.value).toBeCloseTo(304.48);
+      });
+    });
+  });
+});
diff --git a/__tests__/chart/chase/da40-cruise-airspeed.json b/__tests__/chart/chase/da40-cruise-airspeed.json
new file mode 100644
index 0000000..81bae65
--- /dev/null
+++ b/__tests__/chart/chase/da40-cruise-airspeed.json
@@ -0,0 +1,41 @@
+{
+  "kind": "chase",
+  "version": "1.0",
+  "image": {
+    "src": "./cruise-airspeed.png",
+    "size": [978, 692]
+  },
+  "project": {
+    "src": "./cruise-airspeed.wpd.json"
+  },
+  "steps": [
+    {
+      "chase": "up",
+      "along": "outsideAirTemperature",
+      "until": "pressureAltitude",
+      "unit": "feet",
+      "advance": false
+    },
+    {
+      "chase": "right",
+      "along": "pressureAltitude",
+      "until": "outsideAirTemperature",
+      "unit": "degrees celsius"
+    },
+    {
+      "chase": "right",
+      "along": "densityAltitudeCorrection"
+    },
+    {
+      "chase": "right",
+      "along": "densityAltitude",
+      "until": "power",
+      "unit": "percent"
+    },
+    {
+      "solve": "down",
+      "using": "trueAirspeed",
+      "unit": "knots"
+    }
+  ]
+}
diff --git a/__tests__/chart/chase/da40-landing-distance-flaps-up.json b/__tests__/chart/chase/da40-landing-distance-flaps-up.json
new file mode 100644
index 0000000..e57acbe
--- /dev/null
+++ b/__tests__/chart/chase/da40-landing-distance-flaps-up.json
@@ -0,0 +1,52 @@
+{
+  "kind": "chase",
+  "version": "1.0",
+  "image": {
+    "src": "./landing-distance-flaps-up.png",
+    "size": [
+      1109,
+      592
+    ]
+  },
+  "project": {
+    "src": "./landing-distance-flaps-up.wpd.json"
+  },
+  "steps": [
+    {
+      "chase": "up",
+      "along": "outsideAirTemperature",
+      "until": "pressureAltitude",
+      "unit": "feet",
+      "advance": false
+    },
+    {
+      "chase": "right",
+      "along": "pressureAltitude",
+      "until": "outsideAirTemperature",
+      "unit": "degrees celsius"
+    },
+    {
+      "chase": "right",
+      "along": "weightCorrection",
+      "until": "weight",
+      "unit": "kilograms"
+    },
+    {
+      "chase": "right",
+      "along": "windComponentCorrection",
+      "until": "windComponent",
+      "unit": "knots"
+    },
+    {
+      "chase": "right",
+      "along": "obstacleHeightCorrection",
+      "until": "obstacleHeight",
+      "unit": "meters"
+    },
+    {
+      "solve": "right",
+      "using": "landingDistance",
+      "unit": "meters"
+    }
+  ]
+}
diff --git a/__tests__/chart/chase/da40-landing-distance.json b/__tests__/chart/chase/da40-landing-distance.json
new file mode 100644
index 0000000..b21ac17
--- /dev/null
+++ b/__tests__/chart/chase/da40-landing-distance.json
@@ -0,0 +1,52 @@
+{
+  "kind": "chase",
+  "version": "1.0",
+  "image": {
+    "src": "./landing-distance.png",
+    "size": [
+      1154,
+      697
+    ]
+  },
+  "project": {
+    "src": "./landing-distance.wpd.json"
+  },
+  "steps": [
+    {
+      "chase": "up",
+      "along": "outsideAirTemperature",
+      "until": "pressureAltitude",
+      "unit": "feet",
+      "advance": false
+    },
+    {
+      "chase": "right",
+      "along": "pressureAltitude",
+      "until": "outsideAirTemperature",
+      "unit": "degrees celsius"
+    },
+    {
+      "chase": "right",
+      "along": "weightCorrection",
+      "until": "weight",
+      "unit": "kilograms"
+    },
+    {
+      "chase": "right",
+      "along": "windComponentCorrection",
+      "until": "windComponent",
+      "unit": "knots"
+    },
+    {
+      "chase": "right",
+      "along": "obstacleHeightCorrection",
+      "until": "obstacleHeight",
+      "unit": "meters"
+    },
+    {
+      "solve": "right",
+      "using": "landingDistance",
+      "unit": "meters"
+    }
+  ]
+}
\ No newline at end of file
diff --git a/__tests__/chart/chase/da40-takeoff-climb-rate.json b/__tests__/chart/chase/da40-takeoff-climb-rate.json
new file mode 100644
index 0000000..5ae159c
--- /dev/null
+++ b/__tests__/chart/chase/da40-takeoff-climb-rate.json
@@ -0,0 +1,41 @@
+{
+  "kind": "chase",
+  "version": "1.0",
+  "label": "Takeoff Climb Rate",
+  "image": {
+    "src": "./takeoff-climb-rate.png",
+    "size": [
+      1193,
+      811
+    ]
+  },
+  "project": {
+    "src": "./takeoff-climb-rate.wpd.json"
+  },
+  "steps": [
+    {
+      "chase": "up",
+      "along": "outsideAirTemperature",
+      "until": "pressureAltitude",
+      "unit": "feet",
+      "advance": false
+    },
+    {
+      "chase": "right",
+      "along": "pressureAltitude",
+      "until": "outsideAirTemperature",
+      "unit": "degrees celsius"
+    },
+    {
+      "chase": "right",
+      "along": "weightCorrection",
+      "until": "weight",
+      "unit": "kilograms"
+    },
+    {
+      "solve": "right",
+      "using": "climbRate",
+      "unit": "feet per minute"
+    }
+  ]
+}
diff --git a/__tests__/chart/chase/da40-takeoff-distance.json b/__tests__/chart/chase/da40-takeoff-distance.json
new file mode 100644
index 0000000..144af13
--- /dev/null
+++ b/__tests__/chart/chase/da40-takeoff-distance.json
@@ -0,0 +1,52 @@
+{
+  "kind": "chase",
+  "version": "1.0",
+  "image": {
+    "src": "./da40-takeoff-distance.png",
+    "size": [1156, 699]
+  },
+  "project": {
+    "src": "./da40-takeoff-distance.wpd.json"
+  },
+  "steps": [
+    {
+      "chase": "up",
+      "along": "outsideAirTemperature",
+      "until": "pressureAltitude",
+      "unit": "feet",
+      "advance": false
+    },
+    {
+      "chase": "right",
+      "along": "pressureAltitude",
+      "until": "outsideAirTemperature",
+      "unit": "degrees celsius"
+    },
+    {
+      "chase": "right",
+      "along": "weightCorrection",
+      "until": "weight",
+      "unit": "kilograms"
+    },
+    {
+      "chase": "right",
+      "along": {
+        "windComponent >= 0": "headwindComponentCorrection",
+        "windComponent < 0": "tailwindComponentCorrection"
+      },
+      "until": "windComponent",
+      "unit": "knots"
+    },
+    {
+      "chase": "right",
+      "along": "obstacleHeightCorrection",
+      "until": "obstacleHeight",
+      "unit": "meters"
+    },
+    {
+      "solve": "right",
+      "using": "takeoffDistance",
+      "unit": "meters"
+    }
+  ]
+}
diff --git a/__tests__/chart/chase/wpd/WpdProject.test.ts b/__tests__/chart/chase/wpd/WpdProject.test.ts
new file mode 100644
index 0000000..3cb05c4
--- /dev/null
+++ b/__tests__/chart/chase/wpd/WpdProject.test.ts
@@ -0,0 +1,35 @@
+import _ from "lodash";
+import { WpdProject } from "../../../../src/chart/chase/wpd";
+import { WpdProjectDef } from "../../../../src/chart/chase/wpd/wpd-types";
+
+import projectJson from "./da40-takeoff-distance.wpd.json";
+
+describe("WpdProject", () => {
+  describe("range()", () => {
+    const proj = WpdProject.create(projectJson as unknown as WpdProjectDef);
+    it("correctly extracts guides", () => {
+      expect(_.keys(proj.guides).sort()).toEqual([
+        "headwindComponentCorrection",
+        "obstacleHeightCorrection",
+        "tailwindComponentCorrection",
+        "weightCorrection",
+      ]);
+    });
+    it("correctly extracts scales", () => {
+      expect(_.keys(proj.scales).sort()).toEqual([
+        "obstacleHeight",
+        "outsideAirTemperature",
+        "pressureAltitude",
+        "takeoffDistance",
+        "weight",
+        "windComponent",
+      ]);
+      expect(proj.range("obstacleHeight")).toEqual([0, 15]);
+      expect(proj.range("outsideAirTemperature")).toEqual([-20, 50]);
+      expect(proj.range("pressureAltitude")).toEqual([0, 10_000]);
+      expect(proj.range("takeoffDistance")).toEqual([100, 1400]);
+      expect(proj.range("weight")).toEqual([850, 1200]);
+      expect(proj.range("windComponent")).toEqual([-5, 20]);
+    });
+  });
+});
diff --git a/__tests__/chart/chase/wpd/da40-cruise-airspeed.wpd.json b/__tests__/chart/chase/wpd/da40-cruise-airspeed.wpd.json
new file mode 100644
index 0000000..e38d5ca
--- /dev/null
+++ b/__tests__/chart/chase/wpd/da40-cruise-airspeed.wpd.json
@@ -0,0 +1 @@
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diff --git a/__tests__/chart/chase/wpd/da40-landing-distance-flaps-up.wpd.json b/__tests__/chart/chase/wpd/da40-landing-distance-flaps-up.wpd.json
new file mode 100644
index 0000000..08a0493
--- /dev/null
+++ b/__tests__/chart/chase/wpd/da40-landing-distance-flaps-up.wpd.json
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diff --git a/__tests__/chart/chase/wpd/da40-landing-distance.wpd.json b/__tests__/chart/chase/wpd/da40-landing-distance.wpd.json
new file mode 100644
index 0000000..e28e821
--- /dev/null
+++ b/__tests__/chart/chase/wpd/da40-landing-distance.wpd.json
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diff --git a/__tests__/chart/chase/wpd/da40-takeoff-climb-rate.wpd.json b/__tests__/chart/chase/wpd/da40-takeoff-climb-rate.wpd.json
new file mode 100644
index 0000000..903b5a9
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diff --git a/__tests__/chart/chase/wpd/da40-takeoff-distance.wpd.json b/__tests__/chart/chase/wpd/da40-takeoff-distance.wpd.json
new file mode 100644
index 0000000..9433f3f
--- /dev/null
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\ No newline at end of file
diff --git a/__tests__/chart/chase/wpd/wpd-types.test.ts b/__tests__/chart/chase/wpd/wpd-types.test.ts
new file mode 100644
index 0000000..915b411
--- /dev/null
+++ b/__tests__/chart/chase/wpd/wpd-types.test.ts
@@ -0,0 +1,10 @@
+import projectJson from "./da40-takeoff-distance.wpd.json";
+import { isWpdProject } from "../../../../src/chart/chase/wpd/wpd-types";
+
+describe("wpd-types", () => {
+  describe("isWpdProject()", () => {
+    it("correctly identifies a valid WPD project", () => {
+      expect(isWpdProject(projectJson)).toBe(true);
+    });
+  });
+});
diff --git a/__tests__/geometry/GeometryUtils.test.ts b/__tests__/geometry/GeometryUtils.test.ts
index 7ca547a..95a32a3 100644
--- a/__tests__/geometry/GeometryUtils.test.ts
+++ b/__tests__/geometry/GeometryUtils.test.ts
@@ -1,17 +1,63 @@
-import {contact} from "../../src/geometry";
+import { contact, interpolatePath, sortPath } from "../../src/geometry";
+
+import type { Path } from "../../src/geometry";
 
 describe("GeometryUtils", () => {
-    describe("contact()", () => {
-        it("should return abutting paths", () => {
-            expect(contact([[1, 1], [1, 2]], [[1, 2], [1, 3]])).toEqual([1, 2]);
-            expect(contact([[1, 2], [1, 3]], [[1, 1], [1, 2]])).toEqual([1, 2]);
-            expect(contact([[1, 1], [2, 1]], [[2, 1], [3, 1]])).toEqual([2, 1]);
-        });
-        it("should return intersecting paths", () => {
-            expect(contact([[1, 1], [2, 2]], [[1, 2], [2, 1]])).toEqual([1.5, 1.5]);
-        });
-        it("should return undefined for paths that do not abut or intersect", () => {
-            expect(contact([[1, 1], [1, 2]], [[2, 1], [2, 2]])).toBeUndefined();
-        });
+  describe("contact()", () => {
+    it("should return abutting paths", () => {
+      expect(contact([[1, 1], [1, 2]], [[1, 2], [1, 3]])).toEqual([1, 2]);
+      expect(contact([[1, 2], [1, 3]], [[1, 1], [1, 2]])).toEqual([1, 2]);
+      expect(contact([[1, 1], [2, 1]], [[2, 1], [3, 1]])).toEqual([2, 1]);
+    });
+    it("should return intersecting paths", () => {
+      expect(contact([[1, 1], [2, 2]], [[1, 2], [2, 1]])).toEqual([1.5, 1.5]);
+    });
+    it("should return undefined for paths that do not abut or intersect", () => {
+      expect(contact([[1, 1], [1, 2]], [[2, 1], [2, 2]])).toBeUndefined();
+    });
+  });
+  describe("interpolatePath()", () => {
+    it("should return the first path if factor is 0", () => {
+      const original: Path = [[1, 1], [1, 2], [1, 3]];
+      expect(interpolatePath(original, [[2, 1], [2, 2], [2, 3]], "right", 0)).toBe(original);
+    });
+    it("should return the second path if factor is 1", () => {
+      const original: Path = [[2, 1], [2, 2], [2, 3]];
+      expect(interpolatePath([[1, 1], [1, 2], [1, 3]], original, "right", 1)).toBe(original);
+    });
+    it("should interpolate between paths in direction: down", () => {
+      expect(interpolatePath([[1, 1], [1, 2]], [[2, 1], [2, 2]], "down", 0.25))
+        .toEqual([[1.25, 1], [1.25, 2]]);
+    });
+    it("should interpolate between paths in direction: left", () => {
+      expect(interpolatePath([[1, 1], [2, 1]], [[1, 2], [2, 2]], "left", 0.5))
+        .toEqual([[2, 1.5], [1, 1.5]]);
+    });
+    it("should interpolate between paths in direction: right", () => {
+      expect(interpolatePath([[1, 1], [2, 1]], [[1, 2], [2, 2]], "right", 0.75))
+        .toEqual([[1, 1.75], [2, 1.75]]);
+    });
+    it("should interpolate between paths in direction: up", () => {
+      expect(interpolatePath([[1, 1], [1, 2]], [[2, 1], [2, 2]], "up", 0.5))
+        .toEqual([[1.5, 2], [1.5, 1]]);
+    });
+    it("should interpolate between staggered paths", () => {
+      expect(interpolatePath([[1, 1], [2, 1], [3, 1]], [[1.5, 2], [2.5, 2], [3.5, 2]], "right", 0.5))
+        .toEqual([[1.5, 1.5], [2, 1.5], [2.5, 1.5], [3, 1.5]]);
+    });
+  });
+  describe("sortPath()", () => {
+    it("sorts a path in direction: down", () => {
+      expect(sortPath([[2, 1], [2, 2], [2, 0]], "down")).toEqual([[2, 0], [2, 1], [2, 2]]);
+    });
+    it("sorts a path in direction: left", () => {
+      expect(sortPath([[1, 2], [2, 2], [0, 2]], "left")).toEqual([[2, 2], [1, 2], [0, 2]]);
+    });
+    it("sorts a path in direction: right", () => {
+      expect(sortPath([[1, 2], [2, 2], [0, 2]], "right")).toEqual([[0, 2], [1, 2], [2, 2]]);
+    });
+    it("sorts a path in direction: up", () => {
+      expect(sortPath([[2, 1], [2, 2], [2, 0]], "up")).toEqual([[2, 2], [2, 1], [2, 0]]);
     });
+  });
 });
diff --git a/__tests__/misc/InterpolationUtils.test.ts b/__tests__/misc/InterpolationUtils.test.ts
new file mode 100644
index 0000000..a19bca5
--- /dev/null
+++ b/__tests__/misc/InterpolationUtils.test.ts
@@ -0,0 +1,44 @@
+import { pickAdjacent } from "../../src/misc";
+
+describe("InterpolationUtils", () => {
+  describe("pickAdjacent()", () => {
+    it("returns the first entry if out of range low", () => {
+      const entries = [
+        { value: 100 },
+        { value: 200 },
+      ];
+      const [index, adjacent] = pickAdjacent(entries, "value", 0);
+      expect(index).toEqual(0);
+      expect(adjacent[0]).toBe(entries[0]);
+    });
+    it("returns the last entry if out of range high", () => {
+      const entries = [
+        { value: 100 },
+        { value: 200 },
+      ];
+      const [index, adjacent] = pickAdjacent(entries, "value", 300);
+      expect(index).toEqual(1);
+      expect(adjacent[0]).toBe(entries[1]);
+    });
+    it("returns a single entry if exact match", () => {
+      const entries = [
+        { value: 100 },
+        { value: 200 },
+      ];
+      const [index, adjacent] = pickAdjacent(entries, "value", 200);
+      expect(index).toEqual(1);
+      expect(adjacent[0]).toBe(entries[1]);
+    });
+    it("returns two adjacent entries if between", () => {
+      const entries = [
+        { value: 100 },
+        { value: 200 },
+      ];
+      const [index, adjacent] = pickAdjacent(entries, "value", 150);
+      expect(index).toEqual(0);
+      expect(adjacent.length).toBe(2);
+      expect(adjacent[0]).toBe(entries[0]);
+      expect(adjacent[1]).toBe(entries[1]);
+    });
+  });
+});
diff --git a/__tests__/performance/PerformanceUtils.test.ts b/__tests__/performance/PerformanceUtils.test.ts
new file mode 100644
index 0000000..0e17bf4
--- /dev/null
+++ b/__tests__/performance/PerformanceUtils.test.ts
@@ -0,0 +1,70 @@
+import _ from "lodash";
+import { convertUnits, convertVariables } from "../../src/performance/PerformanceUtils";
+
+describe("PerformanceUtils", () => {
+  describe("convertUnits()", () => {
+    it("converts celsius to fahrenheit", () => {
+      expect(convertUnits(0, "degrees celsius", "degrees fahrenheit")).toBeCloseTo(32);
+      expect(convertUnits(15, "degrees celsius", "degrees fahrenheit")).toBeCloseTo(59);
+      expect(convertUnits(-40, "degrees celsius", "degrees fahrenheit")).toBeCloseTo(-40);
+    });
+    it("converts fahrenheit to celsius", () => {
+      expect(convertUnits(32, "degrees fahrenheit", "degrees celsius")).toBeCloseTo(0);
+      expect(convertUnits(59, "degrees fahrenheit", "degrees celsius")).toBeCloseTo(15);
+      expect(convertUnits(-40, "degrees fahrenheit", "degrees celsius")).toBeCloseTo(-40);
+    });
+    it("converts feet to meters", () => {
+      expect(convertUnits(1_000, "feet", "meters")).toBeCloseTo(304.8, 1);
+    });
+    it("converts meters to feet", () => {
+      expect(convertUnits(15, "meters", "feet")).toBeCloseTo(49.2, 1);
+    });
+    it("converts pounds to kilograms", () => {
+      expect(convertUnits(2646, "pounds", "kilograms")).toBeCloseTo(1200.2, 1);
+    });
+    it("converts kilograms to pounds", () => {
+      expect(convertUnits(1200, "kilograms", "pounds")).toBeCloseTo(2645.5, 1);
+    });
+    it("throws a descriptive error if no conversion is provided", () => {
+      expect(() => convertUnits(0, "degrees celsius", "kilograms")).toThrow("No conversion: degrees celsius to kilograms");
+    });
+  });
+  describe("convertVariables()", () => {
+    it("converts variables to match the units of the inputs", () => {
+      const converted = convertVariables({
+        obstacleHeight: {
+          unit: "feet",
+          value: 50,
+        },
+        outsideAirTemperature: {
+          unit: "degrees fahrenheit",
+          value: 59,
+        },
+        weight: {
+          unit: "pounds",
+          value: 2646,
+        },
+      }, {
+        obstacleHeight: {
+          unit: "meters",
+          range: [0, 0],
+        },
+        outsideAirTemperature: {
+          unit: "degrees celsius",
+          range: [0, 0],
+        },
+        weight: {
+          unit: "kilograms",
+          range: [0, 0],
+        },
+      });
+      expect(_.keys(converted).sort()).toEqual(["obstacleHeight", "outsideAirTemperature", "weight"]);
+      expect(converted["obstacleHeight"].unit).toEqual("meters");
+      expect(converted["obstacleHeight"].value).toBeCloseTo(15.2, 1);
+      expect(converted["outsideAirTemperature"].unit).toEqual("degrees celsius");
+      expect(converted["outsideAirTemperature"].value).toBeCloseTo(15);
+      expect(converted["weight"].unit).toEqual("kilograms");
+      expect(converted["weight"].value).toBeCloseTo(1200.2, 1);
+    });
+  });
+});
diff --git a/__tests__/tracking/TrackingState.test.ts b/__tests__/tracking/TrackingState.test.ts
index ab3c352..7346b27 100644
--- a/__tests__/tracking/TrackingState.test.ts
+++ b/__tests__/tracking/TrackingState.test.ts
@@ -1,305 +1,305 @@
-import {TrackingState} from "../../src/tracking/TrackingState";
-import {DateTime} from "luxon";
+import { TrackingState } from "../../src/tracking/TrackingState";
+import { DateTime } from "luxon";
 
 describe("TrackingState", () => {
-    test("initial()", () => {
-        const instance = TrackingState.initial({
-            ids: ["a60631"],
-            nonTrackingInterval: {minute: 5},
-            trackingInterval: {minute: 1}
+  test("initial()", () => {
+    const instance = TrackingState.initial({
+      ids: ["a60631"],
+      nonTrackingInterval: { minute: 5 },
+      trackingInterval: { minute: 1 },
+    });
+    expect(instance.error).toBeUndefined();
+    expect(instance.ids).toStrictEqual(["a60631"]);
+    expect(instance.interval).toStrictEqual({ minute: 5 });
+    expect(instance.positions).toStrictEqual({});
+    expect(instance.nonTrackingInterval).toStrictEqual({ minute: 5 });
+    expect(instance.trackingInterval).toStrictEqual({ minute: 1 });
+  });
+  describe("reduce()", () => {
+    const initial = TrackingState.initial({
+      ids: ["a60631"],
+      nonTrackingInterval: { minute: 5 },
+      trackingInterval: { minute: 1 },
+    });
+    test("Action: error occurred", () => {
+      const now = DateTime.now().setZone("UTC") as DateTime<true>;
+      const intermediate = TrackingState.reduce(initial, {
+        kind: "positions updated",
+        payload: {
+          positions: {
+            a60631: {
+              altitude: 3_000,
+              coordinates: [43.029877, -89.117772],
+              track: 270,
+              velocity: {
+                horizontal: 102.9,
+                vertical: 128,
+              },
+            },
+          },
+          timestamp: now,
+        },
+      });
+      const updated = TrackingState.reduce(intermediate, {
+        kind: "error occurred",
+        payload: {
+          error: "this is an error",
+          timestamp: now,
+        },
+      });
+      expect(updated.error).toStrictEqual({
+        error: "this is an error",
+        timestamp: now,
+      });
+      expect(updated.ids).toStrictEqual(initial.ids);
+      expect(updated.interval).toStrictEqual({ minute: 5 });
+      expect(updated.nonTrackingInterval).toStrictEqual(initial.nonTrackingInterval);
+      expect(updated.positions).toStrictEqual({});
+      expect(updated.tracking).toBe(false);
+      expect(updated.trackingInterval).toStrictEqual(initial.trackingInterval);
+    });
+    describe("Action: ids updated", () => {
+      test("Clears any previous error", () => {
+        const now = DateTime.now().setZone("UTC") as DateTime<true>;
+        const intermediate = TrackingState.reduce(initial, {
+          kind: "error occurred",
+          payload: {
+            error: "this is an error",
+            timestamp: now,
+          },
+        });
+        expect(intermediate.error).not.toBeUndefined();
+        const updated = TrackingState.reduce(intermediate, {
+          kind: "ids updated",
+          payload: [],
+        });
+        expect(updated.error).toBeUndefined();
+      });
+      test("Makes no change if the list of IDs is the same.", () => {
+        const updated = TrackingState.reduce(initial, {
+          kind: "ids updated",
+          payload: ["a60631"],
+        });
+        expect(updated.error).toBeUndefined();
+        expect(updated.ids).toBe(initial.ids);
+        expect(updated.positions).toBe(initial.positions);
+        expect(updated.nextUpdate).toBe(initial.nextUpdate);
+      });
+      test("Adds newly tracked IDs.", () => {
+        const before = Date.now();
+        const updated = TrackingState.reduce(initial, {
+          kind: "ids updated",
+          payload: ["a60632", "a60631"],
         });
-        expect(instance.error).toBeUndefined();
-        expect(instance.ids).toStrictEqual(["a60631"]);
-        expect(instance.interval).toStrictEqual({minute: 5});
-        expect(instance.positions).toStrictEqual({});
-        expect(instance.nonTrackingInterval).toStrictEqual({minute: 5});
-        expect(instance.trackingInterval).toStrictEqual({minute: 1});
+        expect(updated.error).toBeUndefined();
+        expect(updated.ids).toStrictEqual(["a60631", "a60632"]);
+        expect(updated.positions).toBe(initial.positions);
+        expect(updated.nextUpdate.toMillis()).toBeGreaterThanOrEqual(before);
+      });
+      test("Removes no longer tracked IDs.", () => {
+        const before = Date.now();
+        const updated = TrackingState.reduce(initial, {
+          kind: "ids updated",
+          payload: ["a60632"],
+        });
+        expect(updated.error).toBeUndefined();
+        expect(updated.ids).toStrictEqual(["a60632"]);
+        expect(updated.positions).toStrictEqual({});
+        expect(updated.nextUpdate.toMillis()).toBeGreaterThanOrEqual(before);
+      });
+      test("Sorts and ensures uniqueness of the ID list.", () => {
+        const before = Date.now();
+        const updated = TrackingState.reduce(initial, {
+          kind: "ids updated",
+          payload: ["a60634", "a60633", "a60632", "a60633", "a60634"],
+        });
+        expect(updated.error).toBeUndefined();
+        expect(updated.ids).toStrictEqual(["a60632", "a60633", "a60634"]);
+        expect(updated.positions).toStrictEqual({});
+        expect(updated.nextUpdate.toMillis()).toBeGreaterThanOrEqual(before);
+      });
     });
-    describe("reduce()", () => {
-        const initial = TrackingState.initial({
-            ids: ["a60631"],
-            nonTrackingInterval: {minute: 5},
-            trackingInterval: {minute: 1}
+    describe("Action: positions updated", () => {
+      test("Clears any previous error", () => {
+        const now = DateTime.now().setZone("UTC") as DateTime<true>;
+        const intermediate = TrackingState.reduce(initial, {
+          kind: "error occurred",
+          payload: {
+            error: "this is an error",
+            timestamp: now,
+          },
+        });
+        expect(intermediate.error).not.toBeUndefined();
+        const updated = TrackingState.reduce(intermediate, {
+          kind: "positions updated",
+          payload: {
+            positions: {},
+            timestamp: now,
+          },
+        });
+        expect(updated.error).toBeUndefined();
+      });
+      test("Removes position for previously seen aircraft which is no longer seen", () => {
+        const now = DateTime.now().setZone("UTC") as DateTime<true>;
+        const intermediate = TrackingState.reduce(initial, {
+          kind: "positions updated",
+          payload: {
+            positions: {
+              a60631: {
+                altitude: 3_000,
+                coordinates: [43.029877, -89.117772],
+                track: 270,
+                velocity: {
+                  horizontal: 102.9,
+                  vertical: 128,
+                },
+              },
+            },
+            timestamp: now,
+          },
+        });
+        expect(Object.keys(intermediate.positions)).toStrictEqual(["a60631"]);
+        const updated = TrackingState.reduce(intermediate, {
+          kind: "positions updated",
+          payload: {
+            positions: {},
+            timestamp: now,
+          },
         });
-        test("Action: error occurred", () => {
-            const now = DateTime.now().setZone("UTC");
-            const intermediate = TrackingState.reduce(initial, {
-                kind: "positions updated",
-                payload: {
-                    positions: {
-                        a60631: {
-                            altitude: 3_000,
-                            coordinates: [43.029877, -89.117772],
-                            track: 270,
-                            velocity: {
-                                horizontal: 102.9,
-                                vertical: 128
-                            }
-                        }
-                    },
-                    timestamp: now
-                }
-            });
-            const updated = TrackingState.reduce(intermediate, {
-                kind: "error occurred",
-                payload: {
-                    error: "this is an error",
-                    timestamp: now
-                }
-            });
-            expect(updated.error).toStrictEqual({
-                error: "this is an error",
-                timestamp: now
-            });
-            expect(updated.ids).toStrictEqual(initial.ids);
-            expect(updated.interval).toStrictEqual({minute: 5});
-            expect(updated.nonTrackingInterval).toStrictEqual(initial.nonTrackingInterval);
-            expect(updated.positions).toStrictEqual({});
-            expect(updated.tracking).toBe(false);
-            expect(updated.trackingInterval).toStrictEqual(initial.trackingInterval);
+        expect(updated.error).toBeUndefined();
+        expect(updated.ids).toStrictEqual(["a60631"]);
+        expect(updated.interval).toStrictEqual({ minute: 5 });
+        expect(updated.nonTrackingInterval).toStrictEqual({ minute: 5 });
+        expect(updated.positions).toStrictEqual({});
+        expect(updated.tracking).toBe(false);
+        expect(updated.trackingInterval).toStrictEqual({ minute: 1 });
+      });
+      describe("For previously seen aircraft", () => {
+        test("Updates position for tracked aircraft", () => {
+          const now = DateTime.now().setZone("UTC") as DateTime<true>;
+          const intermediate = TrackingState.reduce(initial, {
+            kind: "positions updated",
+            payload: {
+              positions: {
+                a60631: {
+                  altitude: 3_000,
+                  coordinates: [43.029877, -89.117772],
+                  track: 270,
+                  velocity: {
+                    horizontal: 102.9,
+                    vertical: 128,
+                  },
+                },
+              },
+              timestamp: now,
+            },
+          });
+          expect(Object.keys(intermediate.positions)).toStrictEqual(["a60631"]);
+          const oneMinuteFromNow = now.plus({ minute: 1 });
+          const updated = TrackingState.reduce(intermediate, {
+            kind: "positions updated",
+            payload: {
+              positions: {
+                a60631: {
+                  altitude: 4_000,
+                  coordinates: [43.029878, -89.117773],
+                  track: 90,
+                  velocity: {
+                    horizontal: 103,
+                    vertical: 129,
+                  },
+                },
+              },
+              timestamp: oneMinuteFromNow,
+            },
+          });
+          expect(updated.error).toBeUndefined();
+          expect(updated.ids).toStrictEqual(["a60631"]);
+          expect(updated.interval).toStrictEqual({ minute: 1 });
+          expect(updated.nonTrackingInterval).toStrictEqual({ minute: 5 });
+          expect(updated.positions).toStrictEqual({
+            a60631: {
+              altitude: 4_000,
+              coordinates: [43.029878, -89.117773],
+              timestamp: oneMinuteFromNow,
+              track: 90,
+              velocity: {
+                horizontal: 103,
+                vertical: 129,
+              },
+            },
+          });
+          expect(updated.tracking).toBe(true);
+          expect(updated.trackingInterval).toStrictEqual({ minute: 1 });
         });
-        describe("Action: ids updated", () => {
-            test("Clears any previous error", () => {
-                const now = DateTime.now().setZone("UTC");
-                const intermediate = TrackingState.reduce(initial, {
-                    kind: "error occurred",
-                    payload: {
-                        error: "this is an error",
-                        timestamp: now
-                    }
-                });
-                expect(intermediate.error).not.toBeUndefined();
-                const updated = TrackingState.reduce(intermediate, {
-                    kind: "ids updated",
-                    payload: []
-                });
-                expect(updated.error).toBeUndefined();
-            });
-            test("Makes no change if the list of IDs is the same.", () => {
-                const updated = TrackingState.reduce(initial, {
-                    kind: "ids updated",
-                    payload: ["a60631"]
-                });
-                expect(updated.error).toBeUndefined();
-                expect(updated.ids).toBe(initial.ids);
-                expect(updated.positions).toBe(initial.positions);
-                expect(updated.nextUpdate).toBe(initial.nextUpdate);
-            });
-            test("Adds newly tracked IDs.", () => {
-                const before = Date.now();
-                const updated = TrackingState.reduce(initial, {
-                    kind: "ids updated",
-                    payload: ["a60632", "a60631"]
-                });
-                expect(updated.error).toBeUndefined();
-                expect(updated.ids).toStrictEqual(["a60631", "a60632"]);
-                expect(updated.positions).toBe(initial.positions);
-                expect(updated.nextUpdate.toMillis()).toBeGreaterThanOrEqual(before);
-            });
-            test("Removes no longer tracked IDs.", () => {
-                const before = Date.now();
-                const updated = TrackingState.reduce(initial, {
-                    kind: "ids updated",
-                    payload: ["a60632"]
-                });
-                expect(updated.error).toBeUndefined();
-                expect(updated.ids).toStrictEqual(["a60632"]);
-                expect(updated.positions).toStrictEqual({});
-                expect(updated.nextUpdate.toMillis()).toBeGreaterThanOrEqual(before);
-            });
-            test("Sorts and ensures uniqueness of the ID list.", () => {
-                const before = Date.now();
-                const updated = TrackingState.reduce(initial, {
-                    kind: "ids updated",
-                    payload: ["a60634", "a60633", "a60632", "a60633", "a60634"]
-                });
-                expect(updated.error).toBeUndefined();
-                expect(updated.ids).toStrictEqual(["a60632", "a60633", "a60634"]);
-                expect(updated.positions).toStrictEqual({});
-                expect(updated.nextUpdate.toMillis()).toBeGreaterThanOrEqual(before);
-            });
+      });
+      describe("For previously unseen aircraft", () => {
+        test("Adds position for tracked aircraft", () => {
+          const now = DateTime.now().setZone("UTC") as DateTime<true>;
+          const updated = TrackingState.reduce(initial, {
+            kind: "positions updated",
+            payload: {
+              positions: {
+                a60631: {
+                  altitude: 3_000,
+                  coordinates: [43.029877, -89.117772],
+                  track: 270,
+                  velocity: {
+                    horizontal: 102.9,
+                    vertical: 128,
+                  },
+                },
+              },
+              timestamp: now,
+            },
+          });
+          expect(updated.error).toBeUndefined();
+          expect(updated.ids).toStrictEqual(initial.ids);
+          expect(updated.interval).toStrictEqual({ minute: 1 });
+          expect(updated.nonTrackingInterval).toStrictEqual(initial.nonTrackingInterval);
+          expect(updated.positions).toStrictEqual({
+            a60631: {
+              altitude: 3_000,
+              coordinates: [43.029877, -89.117772],
+              timestamp: now,
+              track: 270,
+              velocity: {
+                horizontal: 102.9,
+                vertical: 128,
+              },
+            },
+          });
+          expect(updated.tracking).toBe(true);
+          expect(updated.trackingInterval).toStrictEqual(initial.trackingInterval);
         });
-        describe("Action: positions updated", () => {
-            test("Clears any previous error", () => {
-                const now = DateTime.now().setZone("UTC");
-                const intermediate = TrackingState.reduce(initial, {
-                    kind: "error occurred",
-                    payload: {
-                        error: "this is an error",
-                        timestamp: now
-                    }
-                });
-                expect(intermediate.error).not.toBeUndefined();
-                const updated = TrackingState.reduce(intermediate, {
-                    kind: "positions updated",
-                    payload: {
-                        positions: {},
-                        timestamp: now
-                    }
-                });
-                expect(updated.error).toBeUndefined();
-            });
-            test("Removes position for previously seen aircraft which is no longer seen", () => {
-                const now = DateTime.now().setZone("UTC");
-                const intermediate = TrackingState.reduce(initial, {
-                    kind: "positions updated",
-                    payload: {
-                        positions: {
-                            a60631: {
-                                altitude: 3_000,
-                                coordinates: [43.029877, -89.117772],
-                                track: 270,
-                                velocity: {
-                                    horizontal: 102.9,
-                                    vertical: 128
-                                }
-                            }
-                        },
-                        timestamp: now
-                    }
-                });
-                expect(Object.keys(intermediate.positions)).toStrictEqual(["a60631"]);
-                const updated = TrackingState.reduce(intermediate, {
-                    kind: "positions updated",
-                    payload: {
-                        positions: {},
-                        timestamp: now
-                    }
-                });
-                expect(updated.error).toBeUndefined();
-                expect(updated.ids).toStrictEqual(["a60631"]);
-                expect(updated.interval).toStrictEqual({minute: 5});
-                expect(updated.nonTrackingInterval).toStrictEqual({minute: 5});
-                expect(updated.positions).toStrictEqual({});
-                expect(updated.tracking).toBe(false);
-                expect(updated.trackingInterval).toStrictEqual({minute: 1});
-            });
-            describe("For previously seen aircraft", () => {
-                test("Updates position for tracked aircraft", () => {
-                    const now = DateTime.now().setZone("UTC");
-                    const intermediate = TrackingState.reduce(initial, {
-                        kind: "positions updated",
-                        payload: {
-                            positions: {
-                                a60631: {
-                                    altitude: 3_000,
-                                    coordinates: [43.029877, -89.117772],
-                                    track: 270,
-                                    velocity: {
-                                        horizontal: 102.9,
-                                        vertical: 128
-                                    }
-                                }
-                            },
-                            timestamp: now
-                        }
-                    });
-                    expect(Object.keys(intermediate.positions)).toStrictEqual(["a60631"]);
-                    const oneMinuteFromNow = now.plus({minute: 1});
-                    const updated = TrackingState.reduce(intermediate, {
-                        kind: "positions updated",
-                        payload: {
-                            positions: {
-                                a60631: {
-                                    altitude: 4_000,
-                                    coordinates: [43.029878, -89.117773],
-                                    track: 90,
-                                    velocity: {
-                                        horizontal: 103,
-                                        vertical: 129
-                                    }
-                                }
-                            },
-                            timestamp: oneMinuteFromNow
-                        }
-                    });
-                    expect(updated.error).toBeUndefined();
-                    expect(updated.ids).toStrictEqual(["a60631"]);
-                    expect(updated.interval).toStrictEqual({minute: 1});
-                    expect(updated.nonTrackingInterval).toStrictEqual({minute: 5});
-                    expect(updated.positions).toStrictEqual({
-                        a60631: {
-                            altitude: 4_000,
-                            coordinates: [43.029878, -89.117773],
-                            timestamp: oneMinuteFromNow,
-                            track: 90,
-                            velocity: {
-                                horizontal: 103,
-                                vertical: 129
-                            }
-                        }
-                    });
-                    expect(updated.tracking).toBe(true);
-                    expect(updated.trackingInterval).toStrictEqual({minute: 1});
-                });
-            });
-            describe("For previously unseen aircraft", () => {
-                test("Adds position for tracked aircraft", () => {
-                    const now = DateTime.now().setZone("UTC");
-                    const updated = TrackingState.reduce(initial, {
-                        kind: "positions updated",
-                        payload: {
-                            positions: {
-                                a60631: {
-                                    altitude: 3_000,
-                                    coordinates: [43.029877, -89.117772],
-                                    track: 270,
-                                    velocity: {
-                                        horizontal: 102.9,
-                                        vertical: 128
-                                    }
-                                }
-                            },
-                            timestamp: now
-                        }
-                    });
-                    expect(updated.error).toBeUndefined();
-                    expect(updated.ids).toStrictEqual(initial.ids);
-                    expect(updated.interval).toStrictEqual({minute: 1});
-                    expect(updated.nonTrackingInterval).toStrictEqual(initial.nonTrackingInterval);
-                    expect(updated.positions).toStrictEqual({
-                        a60631: {
-                            altitude: 3_000,
-                            coordinates: [43.029877, -89.117772],
-                            timestamp: now,
-                            track: 270,
-                            velocity: {
-                                horizontal: 102.9,
-                                vertical: 128
-                            }
-                        }
-                    });
-                    expect(updated.tracking).toBe(true);
-                    expect(updated.trackingInterval).toStrictEqual(initial.trackingInterval);
-                });
-                test("Ignores position for untracked aircraft", () => {
-                    const now = DateTime.now().setZone("UTC");
-                    const updated = TrackingState.reduce(initial, {
-                        kind: "positions updated",
-                        payload: {
-                            positions: {
-                                abc123: {
-                                    altitude: 3_000,
-                                    coordinates: [43.029877, -89.117772],
-                                    track: 270,
-                                    velocity: {
-                                        horizontal: 102.9,
-                                        vertical: 128
-                                    }
-                                }
-                            },
-                            timestamp: now
-                        }
-                    });
-                    expect(updated.error).toBeUndefined();
-                    expect(updated.ids).toStrictEqual(initial.ids);
-                    expect(updated.interval).toStrictEqual({minute: 5});
-                    expect(updated.nonTrackingInterval).toStrictEqual(initial.nonTrackingInterval);
-                    expect(updated.positions).toStrictEqual(initial.positions);
-                    expect(updated.tracking).toBe(false);
-                    expect(updated.trackingInterval).toStrictEqual(initial.trackingInterval);
-                });
-            });
+        test("Ignores position for untracked aircraft", () => {
+          const now = DateTime.now().setZone("UTC") as DateTime<true>;
+          const updated = TrackingState.reduce(initial, {
+            kind: "positions updated",
+            payload: {
+              positions: {
+                abc123: {
+                  altitude: 3_000,
+                  coordinates: [43.029877, -89.117772],
+                  track: 270,
+                  velocity: {
+                    horizontal: 102.9,
+                    vertical: 128,
+                  },
+                },
+              },
+              timestamp: now,
+            },
+          });
+          expect(updated.error).toBeUndefined();
+          expect(updated.ids).toStrictEqual(initial.ids);
+          expect(updated.interval).toStrictEqual({ minute: 5 });
+          expect(updated.nonTrackingInterval).toStrictEqual(initial.nonTrackingInterval);
+          expect(updated.positions).toStrictEqual(initial.positions);
+          expect(updated.tracking).toBe(false);
+          expect(updated.trackingInterval).toStrictEqual(initial.trackingInterval);
         });
+      });
     });
+  });
 });
diff --git a/package-lock.json b/package-lock.json
index c82484b..1d6c747 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -11,7 +11,7 @@
       "dependencies": {
         "@mattj65817/aviation-js": "^1.0.1",
         "@mattj65817/util-js": "^1.1.4",
-        "axios": "^1.6.2",
+        "axios": "^1.6.7",
         "axios-retry": "^4.0.0",
         "immer": "^10.0.3",
         "lodash": "^4.17.21",
@@ -23,11 +23,10 @@
         "@types/jest": "^29.5.12",
         "@types/lodash": "^4.14.202",
         "@types/luxon": "^3.4.2",
-        "@types/qs": "^6.9.11",
-        "@types/react": "^18.2.60",
+        "@types/qs": "^6.9.12",
+        "@types/react": "^18.2.61",
         "@typescript-eslint/eslint-plugin": "^7.1.0",
         "@typescript-eslint/parser": "^7.1.0",
-        "axios": "^1.6.7",
         "axios-mock-adapter": "^1.22.0",
         "eslint": "^8.57.0",
         "eslint-config-prettier": "^9.1.0",
@@ -2039,15 +2038,15 @@
       "dev": true
     },
     "node_modules/@types/qs": {
-      "version": "6.9.11",
-      "resolved": "https://registry.npmjs.org/@types/qs/-/qs-6.9.11.tgz",
-      "integrity": "sha512-oGk0gmhnEJK4Yyk+oI7EfXsLayXatCWPHary1MtcmbAifkobT9cM9yutG/hZKIseOU0MqbIwQ/u2nn/Gb+ltuQ==",
+      "version": "6.9.12",
+      "resolved": "https://registry.npmjs.org/@types/qs/-/qs-6.9.12.tgz",
+      "integrity": "sha512-bZcOkJ6uWrL0Qb2NAWKa7TBU+mJHPzhx9jjLL1KHF+XpzEcR7EXHvjbHlGtR/IsP1vyPrehuS6XqkmaePy//mg==",
       "dev": true
     },
     "node_modules/@types/react": {
-      "version": "18.2.60",
-      "resolved": "https://registry.npmjs.org/@types/react/-/react-18.2.60.tgz",
-      "integrity": "sha512-dfiPj9+k20jJrLGOu9Nf6eqxm2EyJRrq2NvwOFsfbb7sFExZ9WELPs67UImHj3Ayxg8ruTtKtNnbjaF8olPq0A==",
+      "version": "18.2.61",
+      "resolved": "https://registry.npmjs.org/@types/react/-/react-18.2.61.tgz",
+      "integrity": "sha512-NURTN0qNnJa7O/k4XUkEW2yfygA+NxS0V5h1+kp9jPwhzZy95q3ADoGMP0+JypMhrZBTTgjKAUlTctde1zzeQA==",
       "dev": true,
       "dependencies": {
         "@types/prop-types": "*",
diff --git a/package.json b/package.json
index e73006d..405b1c7 100644
--- a/package.json
+++ b/package.json
@@ -38,7 +38,7 @@
   "dependencies": {
     "@mattj65817/aviation-js": "^1.0.1",
     "@mattj65817/util-js": "^1.1.4",
-    "axios": "^1.6.2",
+    "axios": "^1.6.7",
     "axios-retry": "^4.0.0",
     "immer": "^10.0.3",
     "lodash": "^4.17.21",
@@ -50,11 +50,10 @@
     "@types/jest": "^29.5.12",
     "@types/lodash": "^4.14.202",
     "@types/luxon": "^3.4.2",
-    "@types/qs": "^6.9.11",
-    "@types/react": "^18.2.60",
+    "@types/qs": "^6.9.12",
+    "@types/react": "^18.2.61",
     "@typescript-eslint/eslint-plugin": "^7.1.0",
     "@typescript-eslint/parser": "^7.1.0",
-    "axios": "^1.6.7",
     "axios-mock-adapter": "^1.22.0",
     "eslint": "^8.57.0",
     "eslint-config-prettier": "^9.1.0",
@@ -80,6 +79,7 @@
   "jest": {
     "preset": "ts-jest",
     "reporters": [
+      "default",
       [
         "jest-junit",
         {
diff --git a/src/chart/ChartLoader.ts b/src/chart/ChartLoader.ts
new file mode 100644
index 0000000..fa4ca89
--- /dev/null
+++ b/src/chart/ChartLoader.ts
@@ -0,0 +1,52 @@
+import { freeze } from "immer";
+import { ChaseChart, isChaseChartDef } from "./chase";
+import { WpdProject, WpdProjectDef } from "./chase/wpd";
+import { Chart } from "./chart-types";
+
+/**
+ * {@link ChartLoader} loads performance charts by URL, providing the appropriate {@link Chart} instance based on the
+ * content of the chart definition.
+ */
+export class ChartLoader {
+  private constructor(private readonly base: URL, private readonly fetchJson: typeof defaultFetchJson) {
+  }
+
+  /**
+   * Load a performance chart.
+   *
+   * @param src the URL of the chart definition.
+   */
+  public async load(src: string | URL): Promise<Chart> {
+    const { fetchJson } = this;
+    const url = src instanceof URL ? src : new URL(src, this.base);
+    const def = await fetchJson<object>(url);
+    if (isChaseChartDef(def)) {
+      const proj = WpdProject.create(await fetchJson<WpdProjectDef>(new URL(def.project.src, url)));
+      return ChaseChart.create(def, proj, url);
+    }
+    throw Error("Unsupported chart type.");
+  }
+
+  /**
+   * Create a {@link ChartLoader} instance.
+   *
+   * @param base the base URL.
+   * @param fetchJson the JSON fetch callback, primarily for testing.
+   */
+  static create(base: URL, fetchJson: typeof defaultFetchJson = defaultFetchJson) {
+    return freeze(new ChartLoader(base, fetchJson), true);
+  }
+}
+
+/**
+ * Default JSON fetch implementation.
+ *
+ * @param src the URL to fetch.
+ */
+async function defaultFetchJson<B>(src: URL) {
+  const response = await fetch(src.toString());
+  if (!response.ok) {
+    throw new Error(`Failed to fetch ${src}: ${response.statusText}`);
+  }
+  return await response.json() as B;
+}
diff --git a/src/chart/Contour.ts b/src/chart/Contour.ts
deleted file mode 100644
index f2394ee..0000000
--- a/src/chart/Contour.ts
+++ /dev/null
@@ -1,13 +0,0 @@
-import _ from "lodash";
-import {Flow} from "./Flow";
-import {Path} from "../geometry";
-import {freeze} from "immer";
-
-export class Contour {
-    constructor(private readonly flow: Flow, private readonly path: Path) {
-    }
-
-    static create(flow: Flow, path: Path) {
-        return freeze(new Contour(flow, flow.sort(_.cloneDeep(path))), true);
-    }
-}
diff --git a/src/chart/Flow.ts b/src/chart/Flow.ts
deleted file mode 100644
index e17a0b3..0000000
--- a/src/chart/Flow.ts
+++ /dev/null
@@ -1,117 +0,0 @@
-import {Path, Point} from "../geometry";
-import {freeze} from "immer";
-
-/**
- * Axial flows.
- */
-export const Flows = freeze<Record<Uppercase<string>, Flow>>({
-    DOWN: {
-        descending: false,
-        vertical: true,
-        compare(pt0: Point, pt1: Point) {
-            return pt0[1] - pt1[1];
-        },
-        position(pt: Point) {
-            return pt[1];
-        },
-        sort(path: Path) {
-            return path.sort(this.compare);
-        },
-        value(pt: Point) {
-            return pt[0];
-        }
-    },
-    LEFT: {
-        descending: true,
-        vertical: false,
-        compare(pt0: Point, pt1: Point) {
-            return pt1[0] - pt0[0];
-        },
-        position(pt: Point) {
-            return pt[0];
-        },
-        sort(path: Path): Path {
-            return path.sort(this.compare);
-        },
-        value(pt: Point) {
-            return pt[1];
-        }
-    },
-    RIGHT: {
-        descending: false,
-        vertical: false,
-        compare(pt0: Point, pt1: Point) {
-            return pt0[0] - pt1[0];
-        },
-        position(pt: Point) {
-            return pt[0];
-        },
-        sort(path: Path) {
-            return path.sort(this.compare);
-        },
-        value(pt: Point) {
-            return pt[1];
-        }
-    },
-    UP: {
-        descending: true,
-        vertical: true,
-        compare(pt0: Point, pt1: Point) {
-            return pt1[1] - pt0[1];
-        },
-        position(pt: Point) {
-            return pt[1];
-        },
-        sort(path: Path) {
-            return path.sort(this.compare);
-        },
-        value(pt: Point) {
-            return pt[0];
-        }
-    }
-}, true);
-
-/**
- * {@link Flow} implements comparison and extraction functions for an axial flow.
- */
-export interface Flow {
-
-    /**
-     * Flag indicating that the flow is in *descending* coordinate order, rather than the default *ascending*.
-     */
-    descending: boolean;
-
-    /**
-     * Flag indicating that the flow is vertical, rather than the default horizontal.
-     */
-    vertical: boolean;
-
-    /**
-     * Compare two points on the *position* axis.
-     *
-     * @param pt0 the first point.
-     * @param pt1 the second point.
-     */
-    compare(pt0: Point, pt1: Point): number;
-
-    /**
-     * Get the value of a point on the *position* axis.
-     *
-     * @param pt the point.
-     */
-    position(pt: Point): number;
-
-    /**
-     * Sort a path on the *position* axis.
-     *
-     * @param path the path.
-     */
-    sort(path: Path): Path;
-
-    /**
-     * Get the value of a point on the *value* axis.
-     *
-     * @param pt the point.
-     */
-    value(pt: Point): number;
-}
diff --git a/src/chart/Guide.ts b/src/chart/Guide.ts
deleted file mode 100644
index 7ff9b24..0000000
--- a/src/chart/Guide.ts
+++ /dev/null
@@ -1,89 +0,0 @@
-import {freeze, immerable, produce} from "immer";
-import _ from "lodash";
-import {Contour} from "./Contour";
-import {Flow} from "./Flow";
-
-import type {Path, Point} from "../geometry";
-
-export class Guide {
-    [immerable] = true;
-
-    readonly contours: [[order: number, value?: number], Contour][] = [];
-
-    private constructor(private readonly flow: Flow, private readonly bounds: ("max" | "min")[]) {
-    }
-
-    /**
-     * Determine whether the contours in this guide have values associated with them.
-     */
-    get valued() {
-        const {contours} = this;
-        if (0 === contours.length) {
-            return false;
-        }
-        return null != contours[0][0][1];
-    }
-
-    /**
-     * Get the contour associated with a given value, interpolating if necessary.
-     *
-     * @param value the value.
-     */
-    public at(value: number): Contour {
-        if (!this.valued) {
-            throw Error("Guide does not have valued contours.");
-        }
-        throw Error("TODO");
-    }
-
-    /**
-     * Get the contour *contacting* (intersecting or abutting) a given contour, interpolating if necessary.
-     *
-     * @param contour the contour.
-     */
-    public contacting(contour: Contour): Contour {
-        throw Error("TODO");
-    }
-
-    /**
-     * Get the contour passing through a given point, interpolating if necessary.
-     *
-     * @param point the point.
-     */
-    public through(point: Point): Contour {
-        throw Error("TODO");
-    }
-
-    /**
-     * Add a contour, optionally associating it with a value.
-     *
-     * @param path the path.
-     * @param value the value, if any.
-     */
-    public addContour(path: Path, value?: number) {
-        const valued = this.valued;
-        if (valued !== (null != value)) {
-            throw Error("Guide cannot mix valued and unvalued contours.");
-        }
-        const {contours, flow} = this;
-        if (null != value && -1 !== contours.findIndex(([[nextValue]]) => value === nextValue)) {
-            throw Error(`Guide already contains a contour for value ${value}.`);
-        }
-        const contour: Guide["contours"][number] = [[contours.length, value], Contour.create(flow, path)];
-        const index = _.sortedIndexBy(contours, contour,
-            ([[order, value]]) => valued ? value! : order);
-        return produce(this, draft => {
-            draft.contours.splice(index, 0, contour);
-        });
-    }
-
-    /**
-     * Create a new, empty {@link Guide} instance.
-     *
-     * @param flow the guide flow.
-     * @param bounds the end(s) at which the guide is bounded.
-     */
-    static create(flow: Flow, bounds: Guide["bounds"] = ["max", "min"]) {
-        return freeze(new Guide(flow, [...bounds]), true);
-    }
-}
diff --git a/src/chart/chart-types.ts b/src/chart/chart-types.ts
new file mode 100644
index 0000000..3957388
--- /dev/null
+++ b/src/chart/chart-types.ts
@@ -0,0 +1,31 @@
+/**
+ * {@link Chart} defines the public interface to a performance chart.
+ */
+export interface Chart {
+
+  /**
+   * Chart metadata.
+   */
+  meta: {
+    /**
+     * Metadata regarding the chart image.
+     */
+    image: {
+
+      /**
+       * URL from which the image can be loaded.
+       */
+      src: URL;
+
+      /**
+       * Pixel dimensions of the image.
+       */
+      size: [width: number, height: number];
+    };
+
+    /**
+     * URL from which the chart was loaded, typically a chart definition JSON file of some sort.
+     */
+    src: URL;
+  };
+}
diff --git a/src/chart/chase/CalcContext.ts b/src/chart/chase/CalcContext.ts
new file mode 100644
index 0000000..cd51724
--- /dev/null
+++ b/src/chart/chase/CalcContext.ts
@@ -0,0 +1,98 @@
+import { freeze } from "immer";
+import _ from "lodash";
+import { isChase } from "./chase-types";
+import { Contour } from "./wpd";
+
+import type { Path } from "../../geometry";
+import type { PerformanceVariables, VectorCalculation } from "../../performance";
+import type { Step } from "./chase-types";
+
+/**
+ * {@link CalcContext} holds context for a performance calculation by {@link ChaseChart.calculate}.
+ */
+export class CalcContext implements VectorCalculation {
+  pos: Path = [];
+  steps: StepResult[] = [];
+
+  private constructor(public readonly vars: PerformanceVariables) {
+  }
+
+  /**
+   * Direction of the most recent chase step.
+   */
+  get dir() {
+    const last = _.findLast(_.map(this.steps, "step"), isChase);
+    if (null == last) {
+      throw Error("No direction set.");
+    }
+    return last.chase;
+  }
+
+  /**
+   * All guides used during calculation.
+   */
+  get guides() {
+    return _.map(_.flatMap(this.steps, step => step.guides), "path");
+  }
+
+  /**
+   * Current cursor position within the calculation.
+   */
+  get position() {
+    const { pos } = this;
+    if (_.isEmpty(pos)) {
+      throw Error("Position not set.");
+    }
+    return _.last(pos)!;
+  }
+
+  /**
+   * All vectors navigated during calculation.
+   */
+  get vectors() {
+    return _.transform(this.steps, (acc, { vector }, index, steps) => {
+      if (index > 0) {
+        const { step: previous } = steps[index - 1];
+        if (isChase(previous) && false === previous.advance) {
+          acc.push([]);
+        }
+      }
+      acc[acc.length - 1].push(...vector.path);
+    }, [[]] as Path[]);
+  }
+
+  get(variable: string) {
+    const { vars } = this;
+    if (!(variable in vars)) {
+      throw Error(`Variable not set: ${variable}`);
+    }
+    return vars[variable].value;
+  }
+
+  apply(result: StepResult) {
+    const copy = _.cloneDeep(result);
+    this.steps.push(copy);
+    const { outputs, step } = copy;
+    if (isChase(step) && false !== step.advance) {
+      this.pos.push(_.last(copy.vector.path)!);
+    }
+    if (null != outputs) {
+      _.assign(this.vars, outputs);
+    }
+    return this;
+  }
+
+  static create(vars: PerformanceVariables): CalcContext {
+    return freeze(new CalcContext(vars), true);
+  }
+}
+
+/**
+ * Step which was applied during a performance calculation and its results.
+ */
+interface StepResult {
+  step: Step;
+  guides: Contour[];
+  outputs?: PerformanceVariables;
+  vector: Contour;
+}
diff --git a/src/chart/chase/ChaseChart.ts b/src/chart/chase/ChaseChart.ts
new file mode 100644
index 0000000..2abd2a3
--- /dev/null
+++ b/src/chart/chase/ChaseChart.ts
@@ -0,0 +1,167 @@
+import { freeze } from "immer";
+import _ from "lodash";
+import { convertVariables } from "../../performance";
+import { isChase, isSolve } from "./chase-types";
+import { WpdProject } from "./wpd";
+import { CalcContext } from "./CalcContext";
+
+import type { AxialDirection } from "../../geometry";
+import type { PerformanceCalculator, PerformanceVariables, Calculation } from "../../performance";
+import type { Chart } from "../chart-types";
+import type { Chase, ChaseChartDef, GuideSpec, Solve } from "./chase-types";
+
+/**
+ * {@link ChaseChart} implements the {@link PerformanceCalculator} interface for an aviation chase-around chart.
+ */
+export class ChaseChart implements Chart, PerformanceCalculator {
+  readonly inputs: PerformanceCalculator["inputs"] = {};
+  readonly outputs: PerformanceCalculator["outputs"] = {};
+
+  meta: Chart["meta"];
+
+  private constructor(
+    private readonly def: ChaseChartDef,
+    private readonly proj: WpdProject,
+    src: URL,
+  ) {
+    const { inputs, outputs } = this;
+    def.steps.forEach(step => {
+      if (isChase(step) && step.until) {
+        inputs[step.until] = {
+          unit: step.unit,
+          range: proj.range(step.until) as [number, number],
+        };
+      } else if (isSolve(step)) {
+        outputs[step.using] = {
+          unit: step.unit,
+        };
+      }
+    });
+    const { image } = def;
+    this.meta = {
+      image: {
+        src: new URL(image.src, src),
+        size: [...image.size],
+      },
+      src,
+    };
+  }
+
+  calculate(vars: PerformanceVariables): Calculation {
+
+    /* Check for inputs not present in the variables. */
+    const { inputs } = this;
+    const missing = _.omit(inputs, _.keys(vars));
+    if (!_.isEmpty(missing)) {
+      throw new Error(`Missing inputs: ${_.keys(missing).sort().join(", ")}`);
+    }
+
+    /* Attempt to solve. */
+    const { def: { steps } } = this;
+    return _.reduce(steps, (context, step) => {
+      if (isChase(step)) {
+        return this.doChase(context, step);
+      } else if (isSolve(step)) {
+        return this.doSolve(context, step);
+      }
+      throw Error("Unsupported step type.");
+    }, CalcContext.create(convertVariables(vars, inputs)));
+  }
+
+  /**
+   * Apply a {@link Chase} step to a solution context.
+   *
+   * @param context the context.
+   * @param step the step.
+   * @private
+   */
+  private doChase(context: CalcContext, step: Chase): CalcContext {
+    const { chase } = step;
+    const along = this.resolveContour(context, step.along, chase);
+    if (null == step.until) {
+      const [, vector] = along.split(context.position);
+      context = context.apply({
+        guides: [along],
+        step, vector,
+      });
+    } else {
+      const cross = "left" === chase || "right" === chase ? "down" : "right";
+      const until = this.resolveContour(context, step.until, cross);
+      const [vector] = along.split(until);
+      context = context.apply({
+        guides: [along, until],
+        step, vector,
+      });
+    }
+    return context;
+  }
+
+  /**
+   * Apply a {@link Solve} step to a solution context.
+   *
+   * @param context the context.
+   * @param step the step.
+   * @private
+   */
+  private doSolve(context: CalcContext, step: Solve): CalcContext {
+    const { solve, using } = step;
+    const { outputs: { [using]: { unit } }, proj } = this;
+    const [value, along] = proj.solve(using, solve, context.position);
+    const vector = solve === context.dir ? along : along.split(context.position)[1];
+    return context.apply({
+      guides: [vector],
+      outputs: { [using]: { value, unit } },
+      step, vector,
+    });
+  }
+
+  /**
+   * Resolve a guide, returning it as a sorted path.
+   *
+   * @param context the solution context.
+   * @param guide the guide or scale name.
+   * @param dir the guide direction.
+   * @private
+   */
+  private resolveContour(context: CalcContext, guide: GuideSpec, dir: AxialDirection) {
+    const { proj } = this;
+    if (_.isString(guide)) {
+      if (proj.isScale(guide)) {
+        return proj.scale(guide, dir, context.get(guide));
+      } else {
+        return proj.guide(guide, dir, context.position);
+      }
+    } else {
+      const vars = _.mapValues(context.vars, "value");
+      const matches = _.entries(guide).flatMap(
+        ([expr, guide]) => {
+          const evaluate = new Function("vars", `with (vars) { return !!(${expr}); }`);
+          try {
+            if (evaluate(vars)) {
+              return [guide];
+            }
+          } catch (e) {
+            if (!(e instanceof ReferenceError)) {
+              throw e;
+            }
+          }
+          return [];
+        });
+      if (1 !== matches.length) {
+        throw Error(`Expected exactly one match in expression(s): [${_.keys(guide).join("], [")}]`);
+      }
+      return proj.guide(matches[0], dir, context.position);
+    }
+  }
+
+  /**
+   * Create a {@link ChaseChart} instance.
+   *
+   * @param def the chart definition.
+   * @param proj the associated WebPlotDigital project.
+   * @param src the URL from which the chart was loaded.
+   */
+  static create(def: ChaseChartDef, proj: WpdProject, src: URL): ChaseChart {
+    return freeze(new ChaseChart(_.cloneDeep(def), proj, src), true);
+  }
+}
\ No newline at end of file
diff --git a/src/chart/chase/chase-types.ts b/src/chart/chase/chase-types.ts
new file mode 100644
index 0000000..35d3c21
--- /dev/null
+++ b/src/chart/chase/chase-types.ts
@@ -0,0 +1,102 @@
+import _ from "lodash";
+import { isAxialDirection } from "../../geometry";
+
+import type { AxialDirection } from "../../geometry";
+import type { AltitudeUnit, DistanceUnit, PowerUnit, TemperatureUnit } from "../../performance";
+
+/**
+ * Top level of a chase-around chart definition file.
+ */
+export interface ChaseChartDef {
+  kind: "chase";
+  version: "1.0";
+  image: {
+    src: string;
+    size: [width: number, height: number];
+  };
+  project: {
+    src: string;
+  };
+  steps: Step[];
+}
+
+/**
+ * Union of all step types.
+ */
+export type Step =
+  | Chase
+  | Solve;
+
+/**
+ * Chase a guide to an intersecting scale.
+ */
+export interface Chase {
+  chase: AxialDirection;
+  along: GuideSpec;
+  until: GuideName;
+  unit: PerformanceUnit;
+  advance?: false;
+}
+
+/**
+ * Solve for a variable using a scale.
+ */
+export interface Solve {
+  solve: AxialDirection;
+  using: GuideName;
+  unit: PerformanceUnit;
+}
+
+/**
+ * Guide specification; either a single guide name or a hash of test expressions to guide names.
+ */
+export type GuideSpec =
+  | GuideName
+  | { [expr in string]: GuideName; };
+
+/**
+ * Guide name.
+ */
+export type GuideName = string;
+
+/**
+ * Any performance-related unit.
+ */
+type PerformanceUnit =
+  | AltitudeUnit
+  | DistanceUnit
+  | PowerUnit
+  | TemperatureUnit;
+
+/**
+ * Type guard for {@link Chase}.
+ *
+ * @param val the value.
+ */
+export function isChase(val: unknown): val is Chase {
+  return _.isObject(val)
+    && "chase" in val
+    && isAxialDirection(val.chase);
+}
+
+/**
+ * Type guard for {@link ChaseChartDef}.
+ *
+ * @param val the value.
+ */
+export function isChaseChartDef(val: unknown): val is ChaseChartDef {
+  return _.isObject(val)
+    && "kind" in val
+    && "chase" === val.kind;
+}
+
+/**
+ * Type guard for {@link Solve}.
+ *
+ * @param val the value.
+ */
+export function isSolve(val: unknown): val is Solve {
+  return _.isObject(val)
+    && "solve" in val
+    && isAxialDirection(val.solve);
+}
diff --git a/src/chart/chase/index.ts b/src/chart/chase/index.ts
new file mode 100644
index 0000000..4a5b8e1
--- /dev/null
+++ b/src/chart/chase/index.ts
@@ -0,0 +1,8 @@
+import { ChaseChart } from "./ChaseChart";
+import { isChaseChartDef } from "./chase-types";
+
+/* Module exports. */
+export {
+  ChaseChart,
+  isChaseChartDef,
+};
diff --git a/src/chart/chase/wpd/Contour.ts b/src/chart/chase/wpd/Contour.ts
new file mode 100644
index 0000000..1686045
--- /dev/null
+++ b/src/chart/chase/wpd/Contour.ts
@@ -0,0 +1,61 @@
+import { freeze } from "immer";
+import { scale } from "@mattj65817/util-js";
+import { contact, interpolatePath } from "../../../geometry";
+import { normalizePath } from "../../../geometry";
+import { pickAdjacent } from "../../../misc";
+
+import type { AxialDirection, Path, Point } from "../../../geometry";
+
+export class Contour {
+  private constructor(public readonly path: Path, private readonly dir: AxialDirection) {
+  }
+
+  public interpolate(other: Contour, factor: number): Contour {
+    const { dir, path } = this;
+    return Contour.create(interpolatePath(path, other.path, dir, factor), dir);
+  }
+
+  public split(at: Contour | Point): [Contour, Contour] {
+    const { dir, path } = this;
+    let pt: Point;
+    if (!(at instanceof Contour)) {
+      pt = at;
+    } else {
+      const point = contact(path, at.path);
+      if (null == point) {
+        throw Error("No contact between contours.");
+      }
+      pt = point;
+    }
+    const pK = "left" === dir || "right" === dir ? 0 : 1;
+    const pos = pt[pK];
+    const [index, adjacent] = pickAdjacent(path, pK, pos);
+    if (pos === adjacent[0][pK]) {
+      return [Contour.create(path.slice(0, index + 1), dir), Contour.create(path.slice(index), dir)];
+    }
+    if (1 === adjacent.length) {
+      throw Error("Point not in path.");
+    }
+    const [pa0, pa1] = adjacent;
+    const p0 = pa0[pK];
+    const factor = (pos - p0) / (pa1[pK] - p0);
+    const vK = 1 - pK;
+    const v0 = pa0[vK];
+    const value = scale(v0 + factor * (pa1[vK] - v0), 4);
+    if (0 === pK) {
+      return [
+        Contour.create([...path.slice(0, index + 1), [pos, value]], dir),
+        Contour.create([[pos, value], ...path.slice(index + 1)], dir),
+      ];
+    } else {
+      return [
+        Contour.create([...path.slice(0, index + 1), [value, pos]], dir),
+        Contour.create([[value, pos], ...path.slice(index + 1)], dir),
+      ];
+    }
+  }
+
+  static create(path: Path, dir: AxialDirection) {
+    return freeze(new Contour(normalizePath(path, dir), dir), true);
+  }
+}
\ No newline at end of file
diff --git a/src/chart/chase/wpd/WpdProject.ts b/src/chart/chase/wpd/WpdProject.ts
new file mode 100644
index 0000000..2cb0437
--- /dev/null
+++ b/src/chart/chase/wpd/WpdProject.ts
@@ -0,0 +1,170 @@
+import { freeze } from "immer";
+import _ from "lodash";
+import { interpolatePath, pointAt, sortPath } from "../../../geometry";
+import { pickAdjacent } from "../../../misc";
+import { Contour } from "./Contour";
+
+import type { AxialDirection, Path, Point } from "../../../geometry";
+import type { GuideName } from "../chase-types";
+import type { WpdProjectDef } from "./wpd-types";
+
+export class WpdProject {
+
+  /**
+   * Guides, which are non-valued contours ending in "@{number}" where "{number}" is simple sort order.
+   *
+   * The `contours` array is sorted in ascending order by `order`.
+   */
+  readonly guides: {
+    [name in string]: {
+      contours: {
+        order: number;
+        path: Path;
+      }[];
+    }
+  } = {};
+
+  /**
+   * Scales, which are valued contours ending in "={number}" where "{number}" is the value associated with the contour.
+   *
+   * The `values` array is sorted in ascending order by `value`.
+   */
+  readonly scales: {
+    [name in string]: {
+      values: {
+        path: Path;
+        value: number;
+      }[];
+    }
+  } = {};
+
+  private constructor(private readonly proj: WpdProjectDef) {
+    const { guides, scales } = this;
+    proj.datasetColl.forEach(({ name, data }) => {
+      const path: Path = _.map(data, "value");
+      const guideMatcher = GUIDE.exec(name);
+      if (null != guideMatcher) {
+        const [, guide, type, value] = guideMatcher;
+        if ("=" === type) {
+          if (!(guide in scales)) {
+            scales[guide] = { values: [] };
+          }
+          scales[guide].values.push({ path, value: parseFloat(value) });
+        } else if ("@" === type) {
+          if (!(guide in guides)) {
+            guides[guide] = { contours: [] };
+          }
+          guides[guide].contours.push({ order: parseInt(value), path });
+        }
+      }
+    });
+    _.values(guides).forEach(({ contours }) => contours.sort(({ order: o0 }, { order: o1 }) => o0 - o1));
+    _.values(scales).forEach(({ values }) => values.sort(({ value: v0 }, { value: v1 }) => v0 - v1));
+  }
+
+  public isScale(guide: GuideName) {
+    return guide in this.scales;
+  }
+
+  public guide(guide: GuideName, dir: AxialDirection, through: Point) {
+    const { guides } = this;
+    if (!(guide in guides)) {
+      throw Error(`Guide not found: ${guide}.`);
+    }
+    const nPK = "left" === dir || "right" === dir ? 0 : 1;
+    const nVK = 1 - nPK;
+    const negative = "left" === dir || "up" === dir;
+    const nPaths = guides[guide].contours.map(({ path }) => {
+      const sorted = sortPath(path, dir);
+      const pos = negative
+        ? Math.min(through[nPK], sorted[0][nPK])
+        : Math.max(through[nPK], sorted[0][nPK]);
+      const pt = pointAt(sorted, pos, nPK);
+      return [pt[nVK], sorted] as const;
+    });
+    const val = through[nVK];
+    const [, nAdjacent] = pickAdjacent(nPaths, 0, val);
+    const [[nFirstVal, nFirstPath]] = nAdjacent;
+    if (val === nFirstVal) {
+      return Contour.create(nFirstPath, dir);
+    } else if (2 === nAdjacent.length) {
+      const [, [nSecondVal, nSecondPath]] = nAdjacent;
+      const factor = (val - nFirstVal) / (nSecondVal - nFirstVal);
+      const nPath = interpolatePath(nFirstPath, nSecondPath, dir, factor);
+      return Contour.create(nPath, dir);
+    }
+    throw Error("TODO: interpolate below min or above max.");
+  }
+
+  public scale(scale: GuideName, dir: AxialDirection, value: number) {
+    const { scales } = this;
+    if (!(scale in scales)) {
+      throw Error(`Scale not found: ${scale}.`);
+    }
+    const { [scale]: { values } } = scales;
+    const [, adjacent] = pickAdjacent(values, "value", value);
+    if (value === adjacent[0].value) {
+      return Contour.create(sortPath(adjacent[0].path, dir), dir);
+    } else if (2 === adjacent.length) {
+      const [{ path: p0, value: v0 }, { path: p1, value: v1 }] = adjacent;
+      const factor = (value - v0) / (v1 - v0);
+      return Contour.create(interpolatePath(p0, p1, dir, factor), dir);
+    }
+    throw Error("TODO: interpolate below min or above max.");
+  }
+
+  public solve(scale: GuideName, dir: AxialDirection, pos: Point): [number, Contour] {
+    const { scales } = this;
+    if (!(scale in scales)) {
+      throw Error(`Scale not found: ${scale}.`);
+    }
+    const vK = "left" === dir || "right" === dir ? 1 : 0;
+    const value = pos[vK];
+    const { [scale]: { values } } = scales;
+    const points = _.transform(values, (values, { value, path }) => {
+      values.push([path[0][vK], value, path]);
+    }, [] as [number, number, Path][]);
+    const [, adjacent] = pickAdjacent(points, 0, value);
+    const [first] = adjacent;
+    const [p0, v0] = first;
+    if (value === p0) {
+      return [v0, Contour.create(first[2], dir)];
+    }
+    if (1 === adjacent.length) {
+      throw Error("Value not in scale.");
+    }
+    const [, [p1, v1, path1]] = adjacent;
+    const factor = (value - p0) / (p1 - p0);
+    return [v0 + (v1 - v0) * factor, Contour.create(first[2], dir).interpolate(Contour.create(path1, dir), factor)];
+  }
+
+  /**
+   * Get the range of values associated with a scale.
+   *
+   * @param scale the scale.
+   */
+  public range(scale: string) {
+    const { scales } = this;
+    if (!(scale in scales)) {
+      throw Error(`Scale not found: ${scale}.`);
+    }
+    const values = _.map(scales[scale].values, "value");
+    return [_.min(values)!, _.max(values)!] as const;
+  }
+
+  /**
+   * Create a {@link WpdProject} instance.
+   *
+   * @param proj the project definition file.
+   */
+  static create(proj: WpdProjectDef): WpdProject {
+    return freeze(new WpdProject(_.cloneDeep(proj)), true);
+  }
+}
+
+/**
+ * Name pattern for a guide dataset.
+ *
+ * @private
+ */
+const GUIDE = freeze(/^guide:([^=]+)([=@])(0|(-?[1-9]\d*))$/, true);
diff --git a/src/chart/chase/wpd/index.ts b/src/chart/chase/wpd/index.ts
new file mode 100644
index 0000000..cf6868b
--- /dev/null
+++ b/src/chart/chase/wpd/index.ts
@@ -0,0 +1,11 @@
+import { Contour } from "./Contour";
+import { WpdProject } from "./WpdProject";
+
+import type { WpdProjectDef } from "./wpd-types";
+
+/* Module exports. */
+export {
+  Contour,
+  WpdProject,
+  WpdProjectDef,
+};
diff --git a/src/chart/chase/wpd/wpd-types.ts b/src/chart/chase/wpd/wpd-types.ts
new file mode 100644
index 0000000..eea34c9
--- /dev/null
+++ b/src/chart/chase/wpd/wpd-types.ts
@@ -0,0 +1,46 @@
+import _ from "lodash";
+
+/**
+ * JSON format of a WebPlotDigitizer project file (the subset of it that we care about.)
+ */
+export interface WpdProjectDef {
+  version: [
+    major: 4,
+    minor: 2
+  ];
+  datasetColl: {
+    name: DatasetName;
+    data: {
+      value: [
+        x: number,
+        y: number
+      ];
+    }[];
+  }[];
+}
+
+/**
+ * Name of a dataset in a WebPlotDigitizer project.
+ */
+type DatasetName =
+  | `guide:${string}@${number}`
+  | `guide:${string}=${number}`
+  | `panel:${string}`;
+
+/**
+ * Type guard for {@link WpdProjectDef}.
+ *
+ * @param val the value.
+ */
+export function isWpdProject(val: unknown): val is WpdProjectDef {
+  return _.isObject(val)
+    && "datasetColl" in val
+    && "version" in val
+    && _.isEqual(val.version, [4, 2])
+    && _.isArray(val.datasetColl)
+    && -1 === val.datasetColl.findIndex(next => !(
+      _.isObject(next)
+      && "data" in next
+      && _.isArray(next.data)
+    ));
+}
diff --git a/src/chart/index.ts b/src/chart/index.ts
index 1ae809f..abfacdd 100644
--- a/src/chart/index.ts
+++ b/src/chart/index.ts
@@ -1,6 +1,6 @@
-import {Guide} from "./Guide";
+import { ChartLoader } from "./ChartLoader";
 
 /* Module exports. */
 export {
-    Guide
+  ChartLoader,
 };
diff --git a/src/flight-types.ts b/src/flight-types.ts
index 3477fd5..16c5f77 100644
--- a/src/flight-types.ts
+++ b/src/flight-types.ts
@@ -1,5 +1,10 @@
-import {DateTime} from "luxon";
-import {AxiosInstance, CreateAxiosDefaults} from "axios";
+import { DateTime } from "luxon";
+import { AxiosInstance, CreateAxiosDefaults } from "axios";
+
+/**
+ * Geographic coordinates.
+ */
+export type GeoCoordinates = [latitude: number, longitude: number];
 
 /**
  * Factory function for creating Axios instances with merged configuration.
diff --git a/src/geometry/GeometryUtils.ts b/src/geometry/GeometryUtils.ts
index 660e8cf..b75287d 100644
--- a/src/geometry/GeometryUtils.ts
+++ b/src/geometry/GeometryUtils.ts
@@ -1,5 +1,8 @@
 import _ from "lodash";
-import {Path, Point} from "./geometry-types";
+import { pickAdjacent } from "../misc";
+
+import type { AxialDirection, Path, Point } from "./geometry-types";
+import { scale } from "@mattj65817/util-js";
 
 /**
  * Find the *first* point, if any, at which two paths make contact, meaning that they intersect at or share that point.
@@ -8,24 +11,135 @@ import {Path, Point} from "./geometry-types";
  * @param p1 the second path.
  */
 export function contact(p0: Path, p1: Path) {
-    for (let i0 = 0; i0 < p0.length - 1; i0 += 1) {
-        const [p00x, p00y] = p0[i0];
-        const [p01x, p01y] = p0[i0 + 1];
-        for (let i1 = 0; i1 < p1.length - 1; i1 += 1) {
-            const [p10x, p10y] = p1[i1];
-            const [p11x, p11y] = p1[i1 + 1];
-            const s0x = p01x - p00x;
-            const s0y = p01y - p00y;
-            const s1x = p11x - p10x;
-            const x1y = p11y - p10y;
-            const s = (-s0y * (p00x - p10x) + s0x * (p00y - p10y)) / (-s1x * s0y + s0x * x1y);
-            const t = (s1x * (p00y - p10y) - x1y * (p00x - p10x)) / (-s1x * s0y + s0x * x1y);
-            if (s >= 0 && s <= 1 && t >= 0 && t <= 1) {
-                return [p00x + t * s0x, p00y + t * s0y] as Point;
-            }
-        }
+  for (let i0 = 0; i0 < p0.length - 1; i0 += 1) {
+    const [p00x, p00y] = p0[i0];
+    const [p01x, p01y] = p0[i0 + 1];
+    for (let i1 = 0; i1 < p1.length - 1; i1 += 1) {
+      const [p10x, p10y] = p1[i1];
+      const [p11x, p11y] = p1[i1 + 1];
+      const s0x = p01x - p00x;
+      const s0y = p01y - p00y;
+      const s1x = p11x - p10x;
+      const x1y = p11y - p10y;
+      const s = (-s0y * (p00x - p10x) + s0x * (p00y - p10y)) / (-s1x * s0y + s0x * x1y);
+      const t = (s1x * (p00y - p10y) - x1y * (p00x - p10x)) / (-s1x * s0y + s0x * x1y);
+      if (s >= 0 && s <= 1 && t >= 0 && t <= 1) {
+        return [p00x + t * s0x, p00y + t * s0y] as Point;
+      }
+    }
+  }
+
+  /* The above will not match abutting points (two paths sharing an exact endpoint.) Handle that case. */
+  return _.head(_.intersectionWith(p0, p1, _.isEqual));
+}
+
+/**
+ * Interpolate a path at some position between two existing paths.
+ *
+ * Always returns a path that is sorted according to `dir`; there is no need to pre-sort paths.
+ *
+ * @param p0 the first path.
+ * @param p1 the second path.
+ * @param dir the direction of the paths.
+ * @param factor the interpolation factor; e.g. `0.5` to interpolate at the midpoint between the two paths.
+ */
+export function interpolatePath(p0: Path, p1: Path, dir: AxialDirection, factor: number = 0.5) {
+  if (0 === factor) {
+    return p0;
+  } else if (1 === factor) {
+    return p1;
+  }
+  const pK = "down" === dir || "up" === dir ? 1 : 0;
+  const vK = 1 - pK;
+  const [lVertices, uVertices] = [sortPath([...p0], dir), sortPath([...p1], dir)].sort(
+    ([pt0], [pt1]) => pt0[pK] - pt1[pK]);
+  const iPath: Path = [];
+  let inRange = false;
+  while (0 !== lVertices.length && 0 !== uVertices.length) {
+    const l = lVertices[0];
+    const u = uVertices[0];
+    const lPos = l[pK];
+    const uPos = u[pK];
+    if (!inRange) {
+      if (lPos < uPos) {
+        lVertices.shift();
+        continue;
+      }
+      inRange = true;
+    }
+
+    /* Determine next position to add to the interpolated contour. */
+    let pos: number;
+    if (lPos > uPos) {
+      pos = uPos;
+      uVertices.shift();
+    } else {
+      pos = lPos;
+      lVertices.shift();
+      if (lPos === uPos) {
+        uVertices.shift();
+      }
+    }
+
+    /* Interpolate between values at the current position. */
+    const pt0 = pointAt(p0, pos, pK);
+    const pt1 = pointAt(p1, pos, pK);
+    const v0 = pt0[vK];
+    if (0 === pK) {
+      iPath.push([pos, v0 + factor * (pt1[vK] - v0)]);
+    } else {
+      iPath.push([v0 + factor * (pt1[vK] - v0), pos]);
     }
+  }
+  return iPath;
+}
+
+/**
+ * Normalize a path by sorting it according to its direction and scaling it to four decimal places.
+ *
+ * @param path the path.
+ * @param dir the direction.
+ */
+export function normalizePath(path: Path, dir: AxialDirection): Path {
+  return sortPath(path, dir).map(([x, y]) => [scale(x, 4), scale(y, 4)]);
+}
 
-    /* The above will not match abutting points (two paths sharing an exact endpoint.) Handle that case. */
-    return _.head(_.intersectionWith(p0, p1, _.isEqual));
+/**
+ * Sort a path according to a direction.
+ *
+ * @param path the path.
+ * @param dir the direction.
+ * @private
+ */
+export function sortPath(path: Path, dir: AxialDirection) {
+  const order = "left" === dir || "up" === dir ? -1 : 1;
+  const key = "left" === dir || "right" === dir ? 0 : 1;
+  return _.clone(path).sort((p0, p1) => order * (p0[key] - p1[key]));
+}
+
+/**
+ * Get the point at a specific position in a path, interpolating if necessary.
+ *
+ * @param path the path.
+ * @param pos the position.
+ * @param pK the position key (`0` for the X coordinate, `1` for the Y coordinate.)
+ */
+export function pointAt(path: Path, pos: number, pK: number): Point {
+  const [, adjacent] = pickAdjacent(path, pK, pos);
+  if (1 === adjacent.length) {
+    if (pos !== adjacent[0][pK]) {
+      throw Error(`Position not in path: ${pos}`);
+    }
+    return adjacent[0];
+  }
+  const [pt0, pt1] = adjacent;
+  const p0 = pt0[pK];
+  const factor = (pos - p0) / (pt1[pK] - p0);
+  const vK = 1 - pK;
+  const v0 = pt0[vK];
+  if (0 === pK) {
+    return [pos, v0 + factor * (pt1[vK] - v0)];
+  } else {
+    return [v0 + factor * (pt1[vK] - v0), pos];
+  }
 }
diff --git a/src/geometry/geometry-types.ts b/src/geometry/geometry-types.ts
index 516dfc1..1a31b46 100644
--- a/src/geometry/geometry-types.ts
+++ b/src/geometry/geometry-types.ts
@@ -1,20 +1,41 @@
+import _ from "lodash";
+
+/**
+ * Cardinal direction along an axis on a plane.
+ */
+export type AxialDirection =
+  | "down"
+  | "left"
+  | "right"
+  | "up";
+
 /**
  * Bounding box on a plane, in polar coordinates, defined by top-left and bottom-right points.
  */
 export type Box = [
-    topLeft: Point,
-    bottomRight: Point
+  topLeft: Point,
+  bottomRight: Point
 ];
 
 /**
  * Single point on a plane, in polar coordinates.
  */
 export type Point = [
-    x: number,
-    y: number
+  x: number,
+  y: number
 ];
 
 /**
  * Sequence of one or more connected points on a plane.
  */
 export type Path = Point[];
+
+/**
+ * Type guard for {@link AxialDirection}.
+ *
+ * @param val the value.
+ */
+export function isAxialDirection(val: unknown): val is AxialDirection {
+  return _.isString(val)
+    && ["down", "left", "right", "up"].includes(val);
+}
diff --git a/src/geometry/index.ts b/src/geometry/index.ts
index 027cec6..5db8fb4 100644
--- a/src/geometry/index.ts
+++ b/src/geometry/index.ts
@@ -1,10 +1,18 @@
-import {contact} from "./GeometryUtils";
-import type {Box, Path, Point} from "./geometry-types";
+import { contact, interpolatePath, normalizePath, pointAt, sortPath } from "./GeometryUtils";
+import { isAxialDirection } from "./geometry-types";
+
+import type { AxialDirection, Box, Path, Point } from "./geometry-types";
 
 /* Module exports. */
 export {
-    Box,
-    Path,
-    Point,
-    contact
+  AxialDirection,
+  Box,
+  Path,
+  Point,
+  contact,
+  interpolatePath,
+  isAxialDirection,
+  normalizePath,
+  pointAt,
+  sortPath,
 };
diff --git a/src/misc/InterpolationUtils.ts b/src/misc/InterpolationUtils.ts
new file mode 100644
index 0000000..d3d4013
--- /dev/null
+++ b/src/misc/InterpolationUtils.ts
@@ -0,0 +1,29 @@
+import _ from "lodash";
+
+/**
+ * Given a list of entries containing some *value* property, pick the one or two entries that are adjacent to a given
+ * value, returning the index of the *first* adjacent entry and the adjacent entries themselves.
+ *
+ * * If `value` exactly matches one of the entries, that entry will be returned.
+ * * If `value` falls before the first entry, the first entry will be returned.
+ * * If `value` falls after the last entry, the last entry will be returned.
+ * * If `value` falls between two entries, those two entries will be returned (preceding then following).
+ *
+ * @param entries the entries.
+ * @param key the key under which the value is stored in each entry.
+ * @param value the value.
+ */
+export function pickAdjacent<E>(entries: E[], key: keyof E, value: number): [number, E[]] {
+  const keyed = _.keyBy(entries, key);
+  const keys = _.keys(keyed).map(parseFloat).sort(_.subtract);
+  const uI = keys.findIndex(key => key >= value);
+  if (-1 === uI) {
+    return [keys.length - 1, [keyed[keys[keys.length - 1]]]];
+  }
+  const uE = keyed[keys[uI]];
+  const { [key]: uV } = uE;
+  if (uV === value || 0 === uI) {
+    return [uI, [uE]];
+  }
+  return [uI - 1, [keyed[keys[uI - 1]], uE]];
+}
diff --git a/src/misc/index.ts b/src/misc/index.ts
new file mode 100644
index 0000000..6a8fcd7
--- /dev/null
+++ b/src/misc/index.ts
@@ -0,0 +1,6 @@
+import { pickAdjacent } from "./InterpolationUtils";
+
+/* Module exports. */
+export {
+  pickAdjacent,
+};
diff --git a/src/performance/PerformanceUtils.ts b/src/performance/PerformanceUtils.ts
new file mode 100644
index 0000000..4096747
--- /dev/null
+++ b/src/performance/PerformanceUtils.ts
@@ -0,0 +1,66 @@
+import { freeze } from "immer";
+import _ from "lodash";
+
+import type { AnyUnit, PerformanceCalculator, PerformanceVariables } from "./performance-types";
+
+/**
+ * Convert a value from one unit to another.
+ *
+ * @param value the value to convert.
+ * @param from the unit from which to convert.
+ * @param to the unit to which to convert.
+ */
+export function convertUnits(value: number, from: AnyUnit, to: AnyUnit): number {
+  if (from === to) {
+    return value;
+  }
+  let conv = UNIT_CONVERSIONS[`${from}:${to}`];
+  if (null != conv) {
+    const [proportion, adjustment] = conv;
+    let converted = value * proportion;
+    if (null != adjustment) {
+      converted += adjustment;
+    }
+    return converted;
+  } else {
+    conv = UNIT_CONVERSIONS[`${to}:${from}`];
+    if (null != conv) {
+      const [proportion, adjustment] = conv;
+      let converted = value;
+      if (null != adjustment) {
+        converted -= adjustment;
+      }
+      return converted / proportion;
+    }
+  }
+  throw Error(`No conversion: ${from} to ${to}`);
+}
+
+/**
+ * Perform unit conversions on a set of variables as needed to match the units of the inputs.
+ *
+ * @param vars the variables.
+ * @param inputs the inputs.
+ */
+export function convertVariables(vars: PerformanceVariables, inputs: PerformanceCalculator["inputs"]) {
+  return _.transform(_.entries(vars), (acc, [name, variable]) => {
+    const input = inputs[name];
+    if (null != input) {
+      const { value, unit } = variable;
+      acc[name] = {
+        unit: input.unit,
+        value: convertUnits(value, unit, input.unit),
+      };
+    }
+  }, _.cloneDeep(vars));
+}
+
+/**
+ * Simple proportion-based unit conversion table.
+ */
+const UNIT_CONVERSIONS = freeze<Partial<{ [from in `${AnyUnit}:${AnyUnit}`]: [proportion: number, adjustment?: number] }>>({
+  "degrees celsius:degrees fahrenheit": [9 / 5, 32],
+  "feet:meters": [0.3048],
+  "feet per minute:meters per minute": [0.3048],
+  "pounds:kilograms": [0.453592],
+}, true);
diff --git a/src/performance/index.ts b/src/performance/index.ts
new file mode 100644
index 0000000..5eceff7
--- /dev/null
+++ b/src/performance/index.ts
@@ -0,0 +1,29 @@
+import { convertUnits, convertVariables } from "./PerformanceUtils";
+import { isVectorCalculation } from "./performance-types";
+import type {
+  AltitudeUnit,
+  AnyUnit,
+  DistanceUnit,
+  PerformanceCalculator,
+  PerformanceVariables,
+  PowerUnit,
+  Calculation,
+  TemperatureUnit,
+  VectorCalculation,
+} from "./performance-types";
+
+/* Module exports. */
+export {
+  AltitudeUnit,
+  AnyUnit,
+  DistanceUnit,
+  PerformanceCalculator,
+  PerformanceVariables,
+  PowerUnit,
+  Calculation,
+  TemperatureUnit,
+  VectorCalculation,
+  convertUnits,
+  convertVariables,
+  isVectorCalculation,
+};
diff --git a/src/performance/performance-types.ts b/src/performance/performance-types.ts
new file mode 100644
index 0000000..e325d30
--- /dev/null
+++ b/src/performance/performance-types.ts
@@ -0,0 +1,158 @@
+import { Path } from "../geometry";
+import _ from "lodash";
+
+/**
+ * {@link PerformanceCalculator} defines the public interface to an object which wraps a performance chart or grid and
+ * performs performance calculations based on the data it contains.
+ */
+export interface PerformanceCalculator {
+
+  /**
+   * Inputs required by the calculator.
+   */
+  readonly inputs: {
+    [name in VariableName]: {
+      unit: AnyUnit;
+      range: [min: number, max: number];
+    }
+  };
+
+  /**
+   * Outputs produced by the calculator.
+   */
+  readonly outputs: {
+    [name in VariableName]: {
+      unit: AnyUnit;
+    }
+  };
+
+  /**
+   * Calculate outputs for a given set of inputs.
+   *
+   * @param vars the variables.
+   */
+  calculate(vars: PerformanceVariables): Calculation;
+}
+
+/**
+ * {@link Calculation} holds the result of a performance calculation.
+ */
+export interface Calculation {
+
+  /**
+   * Outputs produced by the calculation *and* inputs variables used in the calculation.
+   */
+  vars: PerformanceVariables;
+}
+
+/**
+ * {@link VectorCalculation} holds the result of a performance calculation which was performed using vectors across a
+ * chart, such as an aviation chase-around chart.
+ */
+export interface VectorCalculation extends Calculation {
+
+  /**
+   * Guides, such as gridlines and scales, which were used in the calculation.
+   */
+  guides: Path[];
+
+  /**
+   * Vectors in the calculation.
+   */
+  vectors: Path[];
+}
+
+/**
+ * Any performance-related unit.
+ */
+export type AnyUnit =
+  | AltitudeUnit
+  | DistanceUnit
+  | PowerUnit
+  | TemperatureUnit
+  | VelocityUnit
+  | WeightUnit;
+
+/**
+ * Units in which an altitude may be expressed.
+ */
+export type AltitudeUnit =
+  | "feet"
+  | "meters";
+
+/**
+ * Units in which a distance may be expressed.
+ */
+export type DistanceUnit =
+  | "kilometers"
+  | "nautical miles"
+  | "statute miles";
+
+/**
+ * Inputs to a performance solver.
+ */
+export type PerformanceVariables = {
+  [name in VariableName]: {
+    unit: AnyUnit;
+    value: number;
+  }
+};
+
+/**
+ * Units in which engine power may be expressed.
+ */
+export type PowerUnit =
+  | "percent";
+
+/**
+ * Units in which a temperature may be expressed.
+ */
+export type TemperatureUnit =
+  | "degrees celsius"
+  | "degrees fahrenheit";
+
+/**
+ * Units in which a velocity may be expressed.
+ */
+export type VelocityUnit =
+  | "feet per minute"
+  | "knots"
+  | "meters per minute"
+  | "miles per hour";
+
+/**
+ * Units in which a weight may be expressed.
+ */
+export type WeightUnit =
+  | "kilograms"
+  | "pounds";
+
+export function isPerformanceCalculator(val: unknown): val is PerformanceCalculator {
+  return _.isObject(val)
+    && "calculate" in val
+    && "inputs" in val
+    && "outputs" in val
+    && _.isFunction(val.calculate)
+    && _.isObject(val.inputs)
+    && _.isObject(val.outputs);
+}
+
+/**
+ * Type guard for {@link VectorCalculation}.
+ *
+ * @param val the value.
+ */
+export function isVectorCalculation(val: unknown): val is VectorCalculation {
+  return _.isObject(val)
+    && "guides" in val
+    && "vars" in val
+    && "vectors" in val
+    && _.isArray(val.guides)
+    && _.isArray(val.vectors)
+    && _.isObject(val.vars);
+}
+
+/**
+ * Name of a performance variable.
+ */
+type VariableName = string;
diff --git a/src/tracking/tracking-types.ts b/src/tracking/tracking-types.ts
index f7f908c..ff74272 100644
--- a/src/tracking/tracking-types.ts
+++ b/src/tracking/tracking-types.ts
@@ -1,18 +1,18 @@
-import type {GeoCoordinates, ModeSCode} from "@mattj65817/aviation-js";
+import type { GeoCoordinates, ModeSCode } from "@mattj65817/aviation-js";
 
 /**
  * Hash of positions keyed on hexadecimal Mode S code.
  */
 export type Positions = {
-    [K in ModeSCode]: {
-        altitude: "ground" | number;
-        coordinates: GeoCoordinates;
-        track?: number;
-        velocity?: {
-            horizontal: number;
-            vertical?: number;
-        }
-    };
+  [K in ModeSCode]: {
+    altitude: "ground" | number;
+    coordinates: GeoCoordinates;
+    track?: number;
+    velocity?: {
+      horizontal: number;
+      vertical?: number;
+    }
+  };
 }
 
 /**
@@ -20,13 +20,22 @@ export type Positions = {
  */
 export interface PositionService {
 
-    /**
-     * Get current positions for zero or more aircraft based on Mode C hex code.
-     *
-     * The returned {@link Positions} object may not contain an entry for *every* aircraft present in the Mode S code
-     * list; typically only aircraft that are currently in flight (or in a ground-tracked area) are returned.
-     *
-     * @param ids the Mode C hex codes.
-     */
-    getPositions(ids: ModeSCode[]): Promise<Positions>;
+  /**
+   * Get current positions for zero or more aircraft based on Mode C hex code.
+   *
+   * The returned {@link Positions} object may not contain an entry for *every* aircraft present in the Mode S code
+   * list; typically only aircraft that are currently in flight (or in a ground-tracked area) are returned.
+   *
+   * @param ids the Mode C hex codes.
+   */
+  getPositions(ids: ModeSCode[]): Promise<Positions>;
+}
+
+/**
+ * Type guard for {@link ModeSCode}.
+ *
+ * @param val the value.
+ */
+export function isModeSCode(val: unknown): val is ModeSCode {
+  return typeof val === "string" && /^[0-9a-f]{6}$/.test(val);
 }
diff --git a/tsconfig.json b/tsconfig.json
index 3637225..2277a25 100644
--- a/tsconfig.json
+++ b/tsconfig.json
@@ -3,6 +3,7 @@
   "compilerOptions": {
     "module": "esnext",
     "outDir": "./dist/esm",
+    "resolveJsonModule": true,
     "target": "esnext"
   }
 }