generalize power start-from-1

starting output is determined by (gain) offset

21 files changed, 317 insertions, 411 deletions

diff --git a/common/accel-classic.hpp b/common/accel-classic.hpp
index c230bb4..ca0651c 100644
--- a/common/accel-classic.hpp
+++ b/common/accel-classic.hpp
@@ -11,13 +11,13 @@ namespace rawaccel {
     struct classic_base {
         double base_fn(double x, double accel_raised, const accel_args& args) const
         {
-            return accel_raised * pow(x - args.offset, args.exponent_classic) / x;
+            return accel_raised * pow(x - args.input_offset, args.exponent_classic) / x;
         }
 
         static double base_accel(double x, double y, const accel_args& args)
         {
             auto power = args.exponent_classic;
-            return pow(x * y * pow(x - args.offset, -power), 1 / (power - 1));
+            return pow(x * y * pow(x - args.input_offset, -power), 1 / (power - 1));
         }
     };
 
@@ -70,7 +70,7 @@ namespace rawaccel {
 
         double operator()(double x, const accel_args& args) const
         {
-            if (x <= args.offset) return 1;
+            if (x <= args.input_offset) return 1;
             return sign * minsd(base_fn(x, accel_raised, args), cap) + 1;
         }
 
@@ -96,7 +96,7 @@ namespace rawaccel {
                 }
 
                 {
-                    double a = gain_accel(cap.x, cap.y, args.exponent_classic, args.offset);
+                    double a = gain_accel(cap.x, cap.y, args.exponent_classic, args.input_offset);
                     accel_raised = pow(a, args.exponent_classic - 1);
                 }
                 constant = (base_fn(cap.x, accel_raised, args) - cap.y) * cap.x;
@@ -105,7 +105,7 @@ namespace rawaccel {
                 accel_raised = pow(args.acceleration, args.exponent_classic - 1);
                 if (args.cap.x > 0) {
                     cap.x = args.cap.x;
-                    cap.y = gain(cap.x, args.acceleration, args.exponent_classic, args.offset);
+                    cap.y = gain(cap.x, args.acceleration, args.exponent_classic, args.input_offset);
                     constant = (base_fn(cap.x, accel_raised, args) - cap.y) * cap.x;
                 }
                 break;
@@ -121,7 +121,7 @@ namespace rawaccel {
                         sign = -sign;
                     }
 
-                    cap.x = gain_inverse(cap.y, args.acceleration, args.exponent_classic, args.offset);
+                    cap.x = gain_inverse(cap.y, args.acceleration, args.exponent_classic, args.input_offset);
                     constant = (base_fn(cap.x, accel_raised, args) - cap.y) * cap.x;
                 }
                 break;
@@ -132,7 +132,7 @@ namespace rawaccel {
         {
             double output;
 
-            if (x <= args.offset) return 1;
+            if (x <= args.input_offset) return 1;
 
             if (x < cap.x) {
                 output = base_fn(x, accel_raised, args);
diff --git a/common/accel-natural.hpp b/common/accel-natural.hpp
index 6f30a38..9d615a9 100644
--- a/common/accel-natural.hpp
+++ b/common/accel-natural.hpp
@@ -11,7 +11,7 @@ namespace rawaccel {
 		double limit;
 
 		natural_base(const accel_args& args) :
-			offset(args.offset),
+			offset(args.input_offset),
 			limit(args.limit - 1)
 		{
 			accel = args.decay_rate / fabs(limit);
diff --git a/common/accel-power.hpp b/common/accel-power.hpp
index 014acae..ffbadb0 100644
--- a/common/accel-power.hpp
+++ b/common/accel-power.hpp
@@ -7,10 +7,66 @@
 namespace rawaccel {
 
 	struct power_base {
-		static double base_fn(double x, double scale, const accel_args& args)
+		vec2d offset;
+		double scale;
+		double constant;
+
+		power_base(const accel_args& args)
+		{
+			auto n = args.exponent_power;
+
+			if (args.cap_mode != classic_cap_mode::io) {
+				scale = args.scale;
+			}
+			else if (args.gain) {
+				scale = scale_from_gain_point(args.cap.x, args.cap.y, n);
+			}
+			else {
+				/* 
+				* special case for legacy + io cap mode
+				* 
+				* offset is ignored because of the circular dependency:
+				*     scale -> constant -> offset
+				*/
+				offset = {};
+				constant = 0;
+				scale = scale_from_sens_point(args.cap.x, args.cap.y, n, constant);
+				return;
+			}
+
+			offset.x = gain_inverse(args.output_offset, n, scale);
+			offset.y = args.output_offset;
+			constant = offset.x * offset.y * n / (n + 1);
+		}
+
+		double base_fn(double x, const accel_args& args) const
 		{
-			// f(x) = w(mx)^k
-			return pow(scale * x, args.exponent_power);
+			if (x <= offset.x) {
+				return offset.y;
+			}
+			else {     
+				return pow(scale * x, args.exponent_power) + constant / x;
+			}
+		}
+
+		static double gain(double input, double power, double scale)
+		{
+			return (power + 1) * pow(input * scale, power);
+		}
+
+		static double gain_inverse(double gain, double power, double scale)
+		{
+			return pow(gain / (power + 1), 1 / power) / scale;
+		}
+
+		static double scale_from_gain_point(double input, double gain, double power)
+		{
+			return pow(gain / (power + 1), 1 / power) / input;
+		}
+
+		static double scale_from_sens_point(double input, double sens, double power, double C)
+		{
+			return pow(sens - C / input, 1 / power) / input;
 		}
 	};
 
@@ -19,88 +75,44 @@ namespace rawaccel {
 	template <>
 	struct power<LEGACY> : power_base {
 		double cap = DBL_MAX;
-		double scale = 0;
 
-		power(const accel_args& args)
+		power(const accel_args& args) : 
+			power_base(args)
 		{
-			// Note that cap types may overwrite scale below. 
-			scale = args.scale;
 
 			switch (args.cap_mode){
-			case classic_cap_mode::in:
-				if (args.cap.x > 0)
-				{
-					cap = base_fn(
-							args.cap.x,
-							args.scale,
-							args);
-				}
-				break;
 			case classic_cap_mode::io:
-				if (args.cap.x > 0 &&
-					args.cap.y > 1)
-				{
-					cap = args.cap.y;
-					scale = scale_from_sens_point(
-								args.cap.y,
-								args.cap.x,
-								args.exponent_power);
-				}
+				cap = args.cap.y;
+				break;
+			case classic_cap_mode::in:
+				if (args.cap.x > 0) cap = base_fn(args.cap.x, args);
 				break;
 			case classic_cap_mode::out:
 			default:
-				if (args.cap.y > 1)
-				{
-					cap = args.cap.y;
-				}
+				if (args.cap.y > 0) cap = args.cap.y;
 				break;
 			}
-			/*
-			if (args.cap.x > 0) {
-				cap.x = args.cap.x;
-				cap.y = base_fn(cap.x, args);
-			}
-			*/
 		}
 
 		double operator()(double speed, const accel_args& args) const
 		{
-			if (args.powerStartFromOne) {
-				return minsd(maxsd(base_fn(speed, scale, args), 1), cap);
-			}
-			else {
-				return minsd(base_fn(speed, scale, args), cap);
-			}
+			return minsd(base_fn(speed, args), cap);
 		}
 
-		double static scale_from_sens_point(double sens, double input, double power)
-		{
-			return pow(sens, 1 / power) / input;
-		}
 	};
 
 	template <>
 	struct power<GAIN> : power_base {
 		vec2d cap = { DBL_MAX, DBL_MAX };
-		double constant = 0;
-		double scale = 0;
-		vec2d startFromOne{ 0, 0 };
+		double constant_b;
 
-		power(const accel_args& args) 
+		power(const accel_args& args) :
+			power_base(args)
 		{
-			/*
-			if (args.cap.x > 0) {
-				cap.x = args.cap.x;
-				double output = base_fn(cap.x, args);
-				cap.y = output * (args.exponent_power + 1);
-				constant = -args.exponent_power * output * args.cap.x;
-			}
-			*/
-
-			// Note that cap types may overwrite this below. 
-			scale = args.scale;
-
 			switch (args.cap_mode) {
+			case classic_cap_mode::io:
+				cap = args.cap;
+				break;
 			case classic_cap_mode::in:
 				if (args.cap.x > 0) {
 					cap.x = args.cap.x;
@@ -110,111 +122,32 @@ namespace rawaccel {
 								scale);
 				}
 				break;
-			case classic_cap_mode::io:
-				if (args.cap.x > 0 &&
-					args.cap.y > 1) {
-					cap.x = args.cap.x;
-					cap.y = args.cap.y;
-					scale = scale_from_gain_point(
-						args.cap.x,
-						args.cap.y,
-						args.exponent_power);
-				}
-				break;
 			case classic_cap_mode::out:
 			default:
-				if (args.cap.y > 1) {
-					cap.y = args.cap.y;
+				if (args.cap.y > 0) {
 					cap.x = gain_inverse(
 								args.cap.y,
 								args.exponent_power,
 								scale);
+					cap.y = args.cap.y;
 				}
 				break;
 			}
 
-			if (args.powerStartFromOne)
-			{
-				startFromOne.x = gain_inverse(
-									1,
-									args.exponent_power,
-									scale);
-				startFromOne.y = -1 * integration_constant(startFromOne.x,
-										1,
-										base_fn(startFromOne.x, scale, args));
-			}
-
-			if (cap.x < DBL_MAX && cap.y < DBL_MAX)
-			{
-				if (args.powerStartFromOne) {
-					constant = integration_constant(
-								cap.x,
-								cap.y,
-								startFromOneOutput(
-									startFromOne,
-									cap.x,
-									scale,
-									args));
-				}
-				else {
-					constant = integration_constant(
-								cap.x,
-								cap.y,
-								base_fn(cap.x, scale, args));
-				}
-			}
-
+			constant_b = integration_constant(cap.x, cap.y, base_fn(cap.x, args));
 		}
 
 		double operator()(double speed, const accel_args& args) const
 		{
 			if (speed < cap.x) {
-				if (args.powerStartFromOne) {
-					return startFromOneOutput(
-							startFromOne,
-							speed,
-							scale,
-							args);
-				}
-				else {
-					return base_fn(speed, scale, args);
-				}
+				return base_fn(speed, args);
 			}
 			else {
-				return cap.y + constant / speed;
-			}
-		}
-
-		double static startFromOneOutput(
-						const vec2d& startFromOne,
-						double speed,
-						double scale,
-						const accel_args& args)
-		{
-			if (speed > startFromOne.x) {
-				return base_fn(speed, scale, args) + startFromOne.y / speed;
-			}
-			else
-			{
-				return 1;
+				return cap.y + constant_b / speed;
 			}
 		}
 
-		double static gain_inverse(double gain, double power, double scale)
-		{
-			return pow(gain / (power + 1), 1 / power) / scale;
-		}
-		double static gain(double input, double power, double scale)
-		{
-			return (power + 1) * pow(input * scale, power);
-		}
-
-		double static scale_from_gain_point(double input, double gain, double power)
-		{
-			return pow(gain / (power + 1), 1 / power) / input;
-		}
-
-		double static integration_constant(double input, double gain, double output)
+		static double integration_constant(double input, double gain, double output)
 		{
 			return (output - gain) * input;
 		}
diff --git a/common/rawaccel-base.hpp b/common/rawaccel-base.hpp
index 08d42c6..cee1a3e 100644
--- a/common/rawaccel-base.hpp
+++ b/common/rawaccel-base.hpp
@@ -42,7 +42,8 @@ namespace rawaccel {
         accel_mode mode = accel_mode::noaccel;
         bool gain = 1;
 
-        double offset = 0;
+        double input_offset = 0;
+        double output_offset = 0;
         double acceleration = 0.005;
         double decay_rate = 0.1;
         double growth_rate = 1;
@@ -53,7 +54,7 @@ namespace rawaccel {
         double limit = 1.5;
         double midpoint = 5;
         double smooth = 0.5;
-        bool powerStartFromOne = true;
+
         vec2d cap = { 15, 1.5 };
         classic_cap_mode cap_mode = classic_cap_mode::out;
 
diff --git a/common/rawaccel-validate.hpp b/common/rawaccel-validate.hpp
index a88d514..23deb5f 100644
--- a/common/rawaccel-validate.hpp
+++ b/common/rawaccel-validate.hpp
@@ -50,16 +50,20 @@ namespace rawaccel {
 				error("data size > max");
 			}
 
-			if (args.offset < 0) {
+			if (args.input_offset < 0) {
 				error("offset can not be negative");
 			}
-			else if (args.mode == accel_mode::jump && args.offset == 0) {
+			else if (args.mode == accel_mode::jump && args.input_offset == 0) {
 				error("offset can not be 0");
 			}
 
+			if (args.output_offset < 0) {
+				error("offset can not be negative");
+			}
+
 			bool jump_or_io_cap = 
 				(args.mode == accel_mode::jump || 
-					(args.mode == accel_mode::classic && 
+					((args.mode == accel_mode::classic || args.mode == accel_mode::power) &&
 						args.cap_mode == classic_cap_mode::io));
 
 			if (args.cap.x < 0) {
@@ -76,6 +80,11 @@ namespace rawaccel {
 				error("cap (output) can not be 0");
 			}
 
+			if (args.cap.x > 0 && args.cap.x < args.input_offset ||
+				args.cap.y > 0 && args.cap.y < args.output_offset) {
+				error("cap < offset");
+			}
+
 			if (args.growth_rate <= 0 ||
 				args.decay_rate <= 0 ||
 				args.acceleration <= 0) {
diff --git a/grapher/Form1.Designer.cs b/grapher/Form1.Designer.cs
index 6905de1..4625bca 100644
--- a/grapher/Form1.Designer.cs
+++ b/grapher/Form1.Designer.cs
@@ -71,12 +71,6 @@ namespace grapher
             System.Windows.Forms.DataVisualization.Charting.Title title6 = new System.Windows.Forms.DataVisualization.Charting.Title();
             System.ComponentModel.ComponentResourceManager resources = new System.ComponentModel.ComponentResourceManager(typeof(RawAcceleration));
             this.optionsPanel = new System.Windows.Forms.Panel();
-            this.powerStartsFromOneBoxY = new System.Windows.Forms.CheckBox();
-            this.powerStartsFromZeroBoxY = new System.Windows.Forms.CheckBox();
-            this.powerStartsFromOneBoxX = new System.Windows.Forms.CheckBox();
-            this.powerStartsFromZeroBoxX = new System.Windows.Forms.CheckBox();
-            this.powerStartFromLabelY = new System.Windows.Forms.Label();
-            this.powerStartFromLabelX = new System.Windows.Forms.Label();
             this.OutCapActiveYLabelPower = new System.Windows.Forms.Label();
             this.InCapActiveYLabelPower = new System.Windows.Forms.Label();
             this.OutCapActiveXLabelPower = new System.Windows.Forms.Label();
@@ -188,22 +182,26 @@ namespace grapher
             this.OptionSetXTitle = new System.Windows.Forms.Label();
             this.constantThreeLabelY = new System.Windows.Forms.Label();
             this.limitLabelY = new System.Windows.Forms.Label();
-            this.offsetLabelY = new System.Windows.Forms.Label();
+            this.inputOffsetLabelY = new System.Windows.Forms.Label();
+            this.outputOffsetLabelY = new System.Windows.Forms.Label();
             this.inCapLabelYClassic = new System.Windows.Forms.Label();
             this.constantOneLabelY = new System.Windows.Forms.Label();
             this.ByComponentXYLock = new System.Windows.Forms.CheckBox();
             this.MidpointActiveYLabel = new System.Windows.Forms.Label();
             this.LimitActiveYLabel = new System.Windows.Forms.Label();
-            this.OffsetActiveYLabel = new System.Windows.Forms.Label();
+            this.InputOffsetActiveYLabel = new System.Windows.Forms.Label();
+            this.OutputOffsetActiveYLabel = new System.Windows.Forms.Label();
             this.AccelerationActiveLabelY = new System.Windows.Forms.Label();
             this.accelTypeDropY = new System.Windows.Forms.ComboBox();
             this.midpointBoxY = new System.Windows.Forms.TextBox();
             this.limitBoxY = new System.Windows.Forms.TextBox();
-            this.offsetBoxY = new System.Windows.Forms.TextBox();
+            this.inputOffsetBoxY = new System.Windows.Forms.TextBox();
+            this.outputOffsetBoxY = new System.Windows.Forms.TextBox();
             this.accelerationBoxY = new System.Windows.Forms.TextBox();
             this.MidpointActiveXLabel = new System.Windows.Forms.Label();
             this.LimitActiveXLabel = new System.Windows.Forms.Label();
-            this.OffsetActiveXLabel = new System.Windows.Forms.Label();
+            this.InputOffsetActiveXLabel = new System.Windows.Forms.Label();
+            this.OutputOffsetActiveXLabel = new System.Windows.Forms.Label();
             this.InCapActiveYLabelClassic = new System.Windows.Forms.Label();
             this.InCapActiveXLabelClassic = new System.Windows.Forms.Label();
             this.AccelerationActiveLabelX = new System.Windows.Forms.Label();
@@ -218,8 +216,10 @@ namespace grapher
             this.inCapBoxYClassic = new System.Windows.Forms.TextBox();
             this.VertHorzRatioBox = new System.Windows.Forms.TextBox();
             this.writeButton = new System.Windows.Forms.Button();
-            this.offsetLabelX = new System.Windows.Forms.Label();
-            this.offsetBoxX = new System.Windows.Forms.TextBox();
+            this.inputOffsetLabelX = new System.Windows.Forms.Label();
+            this.outputOffsetLabelX = new System.Windows.Forms.Label();
+            this.inputOffsetBoxX = new System.Windows.Forms.TextBox();
+            this.outputOffsetBoxX = new System.Windows.Forms.TextBox();
             this.constantThreeLabelX = new System.Windows.Forms.Label();
             this.midpointBoxX = new System.Windows.Forms.TextBox();
             this.limitLabelX = new System.Windows.Forms.Label();
@@ -254,8 +254,6 @@ namespace grapher
             this.GainChart = new System.Windows.Forms.DataVisualization.Charting.Chart();
             this.VelocityChart = new System.Windows.Forms.DataVisualization.Charting.Chart();
             this.AccelerationChart = new System.Windows.Forms.DataVisualization.Charting.Chart();
-            this.powerStartFromActiveLabelX = new System.Windows.Forms.Label();
-            this.powerStartFromActiveLabelY = new System.Windows.Forms.Label();
             this.optionsPanel.SuspendLayout();
             this.DirectionalityPanel.SuspendLayout();
             this.menuStrip1.SuspendLayout();
@@ -271,14 +269,6 @@ namespace grapher
             // optionsPanel
             // 
             this.optionsPanel.AutoSize = true;
-            this.optionsPanel.Controls.Add(this.powerStartFromActiveLabelY);
-            this.optionsPanel.Controls.Add(this.powerStartFromActiveLabelX);
-            this.optionsPanel.Controls.Add(this.powerStartsFromOneBoxY);
-            this.optionsPanel.Controls.Add(this.powerStartsFromZeroBoxY);
-            this.optionsPanel.Controls.Add(this.powerStartsFromOneBoxX);
-            this.optionsPanel.Controls.Add(this.powerStartsFromZeroBoxX);
-            this.optionsPanel.Controls.Add(this.powerStartFromLabelY);
-            this.optionsPanel.Controls.Add(this.powerStartFromLabelX);
             this.optionsPanel.Controls.Add(this.OutCapActiveYLabelPower);
             this.optionsPanel.Controls.Add(this.InCapActiveYLabelPower);
             this.optionsPanel.Controls.Add(this.OutCapActiveXLabelPower);
@@ -371,22 +361,26 @@ namespace grapher
             this.optionsPanel.Controls.Add(this.OptionSetXTitle);
             this.optionsPanel.Controls.Add(this.constantThreeLabelY);
             this.optionsPanel.Controls.Add(this.limitLabelY);
-            this.optionsPanel.Controls.Add(this.offsetLabelY);
+            this.optionsPanel.Controls.Add(this.inputOffsetLabelY);
+            this.optionsPanel.Controls.Add(this.outputOffsetLabelY);
             this.optionsPanel.Controls.Add(this.inCapLabelYClassic);
             this.optionsPanel.Controls.Add(this.constantOneLabelY);
             this.optionsPanel.Controls.Add(this.ByComponentXYLock);
             this.optionsPanel.Controls.Add(this.MidpointActiveYLabel);
             this.optionsPanel.Controls.Add(this.LimitActiveYLabel);
-            this.optionsPanel.Controls.Add(this.OffsetActiveYLabel);
+            this.optionsPanel.Controls.Add(this.InputOffsetActiveYLabel);
+            this.optionsPanel.Controls.Add(this.OutputOffsetActiveYLabel);
             this.optionsPanel.Controls.Add(this.AccelerationActiveLabelY);
             this.optionsPanel.Controls.Add(this.accelTypeDropY);
             this.optionsPanel.Controls.Add(this.midpointBoxY);
             this.optionsPanel.Controls.Add(this.limitBoxY);
-            this.optionsPanel.Controls.Add(this.offsetBoxY);
+            this.optionsPanel.Controls.Add(this.inputOffsetBoxY);
+            this.optionsPanel.Controls.Add(this.outputOffsetBoxY);
             this.optionsPanel.Controls.Add(this.accelerationBoxY);
             this.optionsPanel.Controls.Add(this.MidpointActiveXLabel);
             this.optionsPanel.Controls.Add(this.LimitActiveXLabel);
-            this.optionsPanel.Controls.Add(this.OffsetActiveXLabel);
+            this.optionsPanel.Controls.Add(this.InputOffsetActiveXLabel);
+            this.optionsPanel.Controls.Add(this.OutputOffsetActiveXLabel);
             this.optionsPanel.Controls.Add(this.InCapActiveYLabelClassic);
             this.optionsPanel.Controls.Add(this.InCapActiveXLabelClassic);
             this.optionsPanel.Controls.Add(this.AccelerationActiveLabelX);
@@ -401,8 +395,10 @@ namespace grapher
             this.optionsPanel.Controls.Add(this.inCapBoxYClassic);
             this.optionsPanel.Controls.Add(this.VertHorzRatioBox);
             this.optionsPanel.Controls.Add(this.writeButton);
-            this.optionsPanel.Controls.Add(this.offsetLabelX);
-            this.optionsPanel.Controls.Add(this.offsetBoxX);
+            this.optionsPanel.Controls.Add(this.inputOffsetLabelX);
+            this.optionsPanel.Controls.Add(this.outputOffsetLabelX);
+            this.optionsPanel.Controls.Add(this.inputOffsetBoxX);
+            this.optionsPanel.Controls.Add(this.outputOffsetBoxX);
             this.optionsPanel.Controls.Add(this.constantThreeLabelX);
             this.optionsPanel.Controls.Add(this.midpointBoxX);
             this.optionsPanel.Controls.Add(this.limitLabelX);
@@ -423,59 +419,7 @@ namespace grapher
             this.optionsPanel.Name = "optionsPanel";
             this.optionsPanel.Size = new System.Drawing.Size(483, 956);
             this.optionsPanel.TabIndex = 34;
-            // 
-            // powerStartsFromOneBoxY
-            // 
-            this.powerStartsFromOneBoxY.Location = new System.Drawing.Point(363, 220);
-            this.powerStartsFromOneBoxY.Name = "powerStartsFromOneBoxY";
-            this.powerStartsFromOneBoxY.Size = new System.Drawing.Size(32, 17);
-            this.powerStartsFromOneBoxY.TabIndex = 0;
-            this.powerStartsFromOneBoxY.Text = "1";
-            this.powerStartsFromOneBoxY.UseVisualStyleBackColor = true;
-            // 
-            // powerStartsFromZeroBoxY
-            // 
-            this.powerStartsFromZeroBoxY.Location = new System.Drawing.Point(332, 220);
-            this.powerStartsFromZeroBoxY.Name = "powerStartsFromZeroBoxY";
-            this.powerStartsFromZeroBoxY.Size = new System.Drawing.Size(32, 17);
-            this.powerStartsFromZeroBoxY.TabIndex = 0;
-            this.powerStartsFromZeroBoxY.Text = "0";
-            this.powerStartsFromZeroBoxY.UseVisualStyleBackColor = true;
-            // 
-            // powerStartsFromOneBoxX
-            // 
-            this.powerStartsFromOneBoxX.Location = new System.Drawing.Point(136, 220);
-            this.powerStartsFromOneBoxX.Name = "powerStartsFromOneBoxX";
-            this.powerStartsFromOneBoxX.Size = new System.Drawing.Size(32, 17);
-            this.powerStartsFromOneBoxX.TabIndex = 0;
-            this.powerStartsFromOneBoxX.Text = "1";
-            this.powerStartsFromOneBoxX.UseVisualStyleBackColor = true;
-            // 
-            // powerStartsFromZeroBoxX
-            // 
-            this.powerStartsFromZeroBoxX.Location = new System.Drawing.Point(106, 220);
-            this.powerStartsFromZeroBoxX.Name = "powerStartsFromZeroBoxX";
-            this.powerStartsFromZeroBoxX.Size = new System.Drawing.Size(32, 17);
-            this.powerStartsFromZeroBoxX.TabIndex = 0;
-            this.powerStartsFromZeroBoxX.Text = "0";
-            this.powerStartsFromZeroBoxX.UseVisualStyleBackColor = true;
-            // 
-            // powerStartFromLabelY
-            // 
-            this.powerStartFromLabelY.Location = new System.Drawing.Point(266, 220);
-            this.powerStartFromLabelY.Name = "powerStartFromLabelY";
-            this.powerStartFromLabelY.Size = new System.Drawing.Size(52, 13);
-            this.powerStartFromLabelY.TabIndex = 0;
-            this.powerStartFromLabelY.Text = "Start from";
-            // 
-            // powerStartFromLabelX
-            // 
-            this.powerStartFromLabelX.Location = new System.Drawing.Point(38, 220);
-            this.powerStartFromLabelX.Name = "powerStartFromLabelX";
-            this.powerStartFromLabelX.Size = new System.Drawing.Size(55, 13);
-            this.powerStartFromLabelX.TabIndex = 0;
-            this.powerStartFromLabelX.Text = "Start from";
-            // 
+            //
             // OutCapActiveYLabelPower
             // 
             this.OutCapActiveYLabelPower.AutoSize = true;
@@ -1452,12 +1396,19 @@ namespace grapher
             // 
             // offsetLabelY
             // 
-            this.offsetLabelY.AutoSize = true;
-            this.offsetLabelY.Location = new System.Drawing.Point(263, 248);
-            this.offsetLabelY.Name = "offsetLabelY";
-            this.offsetLabelY.Size = new System.Drawing.Size(35, 13);
-            this.offsetLabelY.TabIndex = 135;
-            this.offsetLabelY.Text = "Offset";
+            this.inputOffsetLabelY.AutoSize = true;
+            this.inputOffsetLabelY.Location = new System.Drawing.Point(263, 248);
+            this.inputOffsetLabelY.Name = "inputOffsetLabelY";
+            this.inputOffsetLabelY.Size = new System.Drawing.Size(35, 13);
+            this.inputOffsetLabelY.TabIndex = 135;
+            this.inputOffsetLabelY.Text = "Input Offset";
+
+            this.outputOffsetLabelY.AutoSize = true;
+            this.outputOffsetLabelY.Location = new System.Drawing.Point(263, 248);
+            this.outputOffsetLabelY.Name = "outputOffsetLabelY";
+            this.outputOffsetLabelY.Size = new System.Drawing.Size(35, 13);
+            this.outputOffsetLabelY.TabIndex = 135;
+            this.outputOffsetLabelY.Text = "Output Offset";
             // 
             // inCapLabelYClassic
             // 
@@ -1508,12 +1459,19 @@ namespace grapher
             // 
             // OffsetActiveYLabel
             // 
-            this.OffsetActiveYLabel.AutoSize = true;
-            this.OffsetActiveYLabel.Location = new System.Drawing.Point(414, 248);
-            this.OffsetActiveYLabel.Name = "OffsetActiveYLabel";
-            this.OffsetActiveYLabel.Size = new System.Drawing.Size(13, 13);
-            this.OffsetActiveYLabel.TabIndex = 129;
-            this.OffsetActiveYLabel.Text = "0";
+            this.InputOffsetActiveYLabel.AutoSize = true;
+            this.InputOffsetActiveYLabel.Location = new System.Drawing.Point(414, 248);
+            this.InputOffsetActiveYLabel.Name = "InputOffsetActiveYLabel";
+            this.InputOffsetActiveYLabel.Size = new System.Drawing.Size(13, 13);
+            this.InputOffsetActiveYLabel.TabIndex = 129;
+            this.InputOffsetActiveYLabel.Text = "0";
+
+            this.OutputOffsetActiveYLabel.AutoSize = true;
+            this.OutputOffsetActiveYLabel.Location = new System.Drawing.Point(414, 248);
+            this.OutputOffsetActiveYLabel.Name = "OutputOffsetActiveYLabel";
+            this.OutputOffsetActiveYLabel.Size = new System.Drawing.Size(13, 13);
+            this.OutputOffsetActiveYLabel.TabIndex = 129;
+            this.OutputOffsetActiveYLabel.Text = "0";
             // 
             // AccelerationActiveLabelY
             // 
@@ -1549,10 +1507,15 @@ namespace grapher
             // 
             // offsetBoxY
             // 
-            this.offsetBoxY.Location = new System.Drawing.Point(332, 245);
-            this.offsetBoxY.Name = "offsetBoxY";
-            this.offsetBoxY.Size = new System.Drawing.Size(76, 20);
-            this.offsetBoxY.TabIndex = 106;
+            this.inputOffsetBoxY.Location = new System.Drawing.Point(332, 245);
+            this.inputOffsetBoxY.Name = "inputOffsetBoxY";
+            this.inputOffsetBoxY.Size = new System.Drawing.Size(76, 20);
+            this.inputOffsetBoxY.TabIndex = 106;
+
+            this.outputOffsetBoxY.Location = new System.Drawing.Point(332, 245);
+            this.outputOffsetBoxY.Name = "outputOffsetBoxY";
+            this.outputOffsetBoxY.Size = new System.Drawing.Size(76, 20);
+            this.outputOffsetBoxY.TabIndex = 106;
             // 
             // accelerationBoxY
             // 
@@ -1581,12 +1544,19 @@ namespace grapher
             // 
             // OffsetActiveXLabel
             // 
-            this.OffsetActiveXLabel.AutoSize = true;
-            this.OffsetActiveXLabel.Location = new System.Drawing.Point(197, 248);
-            this.OffsetActiveXLabel.Name = "OffsetActiveXLabel";
-            this.OffsetActiveXLabel.Size = new System.Drawing.Size(13, 13);
-            this.OffsetActiveXLabel.TabIndex = 125;
-            this.OffsetActiveXLabel.Text = "0";
+            this.InputOffsetActiveXLabel.AutoSize = true;
+            this.InputOffsetActiveXLabel.Location = new System.Drawing.Point(197, 248);
+            this.InputOffsetActiveXLabel.Name = "InputOffsetActiveXLabel";
+            this.InputOffsetActiveXLabel.Size = new System.Drawing.Size(13, 13);
+            this.InputOffsetActiveXLabel.TabIndex = 125;
+            this.InputOffsetActiveXLabel.Text = "0";
+
+            this.OutputOffsetActiveXLabel.AutoSize = true;
+            this.OutputOffsetActiveXLabel.Location = new System.Drawing.Point(197, 248);
+            this.OutputOffsetActiveXLabel.Name = "OutputOffsetActiveXLabel";
+            this.OutputOffsetActiveXLabel.Size = new System.Drawing.Size(13, 13);
+            this.OutputOffsetActiveXLabel.TabIndex = 125;
+            this.OutputOffsetActiveXLabel.Text = "0";
             // 
             // InCapActiveYLabelClassic
             // 
@@ -1715,20 +1685,33 @@ namespace grapher
             // 
             // offsetLabelX
             // 
-            this.offsetLabelX.AutoSize = true;
-            this.offsetLabelX.Location = new System.Drawing.Point(37, 248);
-            this.offsetLabelX.Name = "offsetLabelX";
-            this.offsetLabelX.Size = new System.Drawing.Size(35, 13);
-            this.offsetLabelX.TabIndex = 107;
-            this.offsetLabelX.Text = "Offset";
-            this.offsetLabelX.TextAlign = System.Drawing.ContentAlignment.MiddleCenter;
+            this.inputOffsetLabelX.AutoSize = true;
+            this.inputOffsetLabelX.Location = new System.Drawing.Point(37, 248);
+            this.inputOffsetLabelX.Name = "inputOffsetLabelX";
+            this.inputOffsetLabelX.Size = new System.Drawing.Size(35, 13);
+            this.inputOffsetLabelX.TabIndex = 107;
+            this.inputOffsetLabelX.Text = "Input Offset";
+            this.inputOffsetLabelX.TextAlign = System.Drawing.ContentAlignment.MiddleCenter;
+
+            this.outputOffsetLabelX.AutoSize = true;
+            this.outputOffsetLabelX.Location = new System.Drawing.Point(37, 248);
+            this.outputOffsetLabelX.Name = "outputOffsetLabelX";
+            this.outputOffsetLabelX.Size = new System.Drawing.Size(35, 13);
+            this.outputOffsetLabelX.TabIndex = 107;
+            this.outputOffsetLabelX.Text = "Output Offset";
+            this.outputOffsetLabelX.TextAlign = System.Drawing.ContentAlignment.MiddleCenter;
             // 
             // offsetBoxX
             // 
-            this.offsetBoxX.Location = new System.Drawing.Point(106, 245);
-            this.offsetBoxX.Name = "offsetBoxX";
-            this.offsetBoxX.Size = new System.Drawing.Size(76, 20);
-            this.offsetBoxX.TabIndex = 92;
+            this.inputOffsetBoxX.Location = new System.Drawing.Point(106, 245);
+            this.inputOffsetBoxX.Name = "inputOffsetBoxX";
+            this.inputOffsetBoxX.Size = new System.Drawing.Size(76, 20);
+            this.inputOffsetBoxX.TabIndex = 92;
+
+            this.outputOffsetBoxX.Location = new System.Drawing.Point(106, 245);
+            this.outputOffsetBoxX.Name = "outputOffsetBoxX";
+            this.outputOffsetBoxX.Size = new System.Drawing.Size(76, 20);
+            this.outputOffsetBoxX.TabIndex = 92;
             // 
             // constantThreeLabelX
             // 
@@ -2206,24 +2189,6 @@ namespace grapher
             title6.Text = "Sensitivity";
             this.AccelerationChart.Titles.Add(title6);
             // 
-            // powerStartFromActiveLabelX
-            // 
-            this.powerStartFromActiveLabelX.AutoSize = true;
-            this.powerStartFromActiveLabelX.Location = new System.Drawing.Point(197, 220);
-            this.powerStartFromActiveLabelX.Name = "powerStartFromActiveLabelX";
-            this.powerStartFromActiveLabelX.Size = new System.Drawing.Size(13, 13);
-            this.powerStartFromActiveLabelX.TabIndex = 225;
-            this.powerStartFromActiveLabelX.Text = "0";
-            // 
-            // powerStartFromActiveLabelY
-            // 
-            this.powerStartFromActiveLabelY.AutoSize = true;
-            this.powerStartFromActiveLabelY.Location = new System.Drawing.Point(414, 221);
-            this.powerStartFromActiveLabelY.Name = "powerStartFromActiveLabelY";
-            this.powerStartFromActiveLabelY.Size = new System.Drawing.Size(13, 13);
-            this.powerStartFromActiveLabelY.TabIndex = 226;
-            this.powerStartFromActiveLabelY.Text = "0";
-            // 
             // RawAcceleration
             // 
             this.AutoScaleDimensions = new System.Drawing.SizeF(6F, 13F);
@@ -2273,22 +2238,26 @@ namespace grapher
         private System.Windows.Forms.Label OptionSetXTitle;
         private System.Windows.Forms.Label constantThreeLabelY;
         private System.Windows.Forms.Label limitLabelY;
-        private System.Windows.Forms.Label offsetLabelY;
+        private System.Windows.Forms.Label inputOffsetLabelY;
+        private System.Windows.Forms.Label outputOffsetLabelY;
         private System.Windows.Forms.Label inCapLabelYClassic;
         private System.Windows.Forms.Label constantOneLabelY;
         private System.Windows.Forms.CheckBox ByComponentXYLock;
         private System.Windows.Forms.Label MidpointActiveYLabel;
         private System.Windows.Forms.Label LimitActiveYLabel;
-        private System.Windows.Forms.Label OffsetActiveYLabel;
+        private System.Windows.Forms.Label InputOffsetActiveYLabel;
+        private System.Windows.Forms.Label OutputOffsetActiveYLabel;
         private System.Windows.Forms.Label AccelerationActiveLabelY;
         private System.Windows.Forms.ComboBox accelTypeDropY;
         private System.Windows.Forms.TextBox midpointBoxY;
         private System.Windows.Forms.TextBox limitBoxY;
-        private System.Windows.Forms.TextBox offsetBoxY;
+        private System.Windows.Forms.TextBox inputOffsetBoxY;
+        private System.Windows.Forms.TextBox outputOffsetBoxY;
         private System.Windows.Forms.TextBox accelerationBoxY;
         private System.Windows.Forms.Label MidpointActiveXLabel;
         private System.Windows.Forms.Label LimitActiveXLabel;
-        private System.Windows.Forms.Label OffsetActiveXLabel;
+        private System.Windows.Forms.Label InputOffsetActiveXLabel;
+        private System.Windows.Forms.Label OutputOffsetActiveXLabel;
         private System.Windows.Forms.Label InCapActiveYLabelClassic;
         private System.Windows.Forms.Label InCapActiveXLabelClassic;
         private System.Windows.Forms.Label AccelerationActiveLabelX;
@@ -2303,8 +2272,10 @@ namespace grapher
         private System.Windows.Forms.TextBox inCapBoxYClassic;
         private System.Windows.Forms.TextBox VertHorzRatioBox;
         private System.Windows.Forms.Button writeButton;
-        private System.Windows.Forms.Label offsetLabelX;
-        private System.Windows.Forms.TextBox offsetBoxX;
+        private System.Windows.Forms.Label inputOffsetLabelX;
+        private System.Windows.Forms.Label outputOffsetLabelX;
+        private System.Windows.Forms.TextBox inputOffsetBoxX;
+        private System.Windows.Forms.TextBox outputOffsetBoxX;
         private System.Windows.Forms.Label constantThreeLabelX;
         private System.Windows.Forms.TextBox midpointBoxX;
         private System.Windows.Forms.Label limitLabelX;
@@ -2431,14 +2402,6 @@ namespace grapher
         private System.Windows.Forms.TextBox outCapBoxXPower;
         private System.Windows.Forms.TextBox inCapBoxYPower;
         private System.Windows.Forms.TextBox inCapBoxXPower;
-        private System.Windows.Forms.CheckBox powerStartsFromOneBoxY;
-        private System.Windows.Forms.CheckBox powerStartsFromZeroBoxY;
-        private System.Windows.Forms.CheckBox powerStartsFromOneBoxX;
-        private System.Windows.Forms.CheckBox powerStartsFromZeroBoxX;
-        private System.Windows.Forms.Label powerStartFromLabelY;
-        private System.Windows.Forms.Label powerStartFromLabelX;
-        private System.Windows.Forms.Label powerStartFromActiveLabelX;
-        private System.Windows.Forms.Label powerStartFromActiveLabelY;
     }
 }
 
diff --git a/grapher/Form1.cs b/grapher/Form1.cs
index 9e88912..00483d5 100644
--- a/grapher/Form1.cs
+++ b/grapher/Form1.cs
@@ -82,8 +82,10 @@ namespace grapher
                 inCapBoxYPower,
                 outCapBoxXPower,
                 outCapBoxYPower,
-                offsetBoxX,
-                offsetBoxY,
+                inputOffsetBoxX,
+                inputOffsetBoxY,
+                outputOffsetBoxX,
+                outputOffsetBoxY,
                 accelerationBoxX,
                 accelerationBoxY,
                 decayRateBoxX,
@@ -114,10 +116,6 @@ namespace grapher
                 ByComponentCheckBox,
                 gainSwitchX,
                 gainSwitchY,
-                powerStartsFromZeroBoxX,
-                powerStartsFromOneBoxX,
-                powerStartsFromZeroBoxY,
-                powerStartsFromOneBoxY,
                 XLutActiveValuesBox,
                 YLutActiveValuesBox,
                 XLutPointsBox,
@@ -138,8 +136,10 @@ namespace grapher
                 outCapLabelYPower,
                 CapTypeLabelXPower,
                 CapTypeLabelYPower,
-                offsetLabelX,
-                offsetLabelY,
+                inputOffsetLabelX,
+                inputOffsetLabelY,
+                outputOffsetLabelX,
+                outputOffsetLabelY,
                 constantOneLabelX,
                 constantOneLabelY,
                 decayRateLabelX,
@@ -156,8 +156,6 @@ namespace grapher
                 powerLabelY,
                 expLabelX,
                 expLabelY,
-                powerStartFromLabelX,
-                powerStartFromLabelY,
                 LUTTextLabelX,
                 LUTTextLabelY,
                 constantThreeLabelX,
@@ -179,8 +177,10 @@ namespace grapher
                 OutCapActiveYLabelPower,
                 CapTypeActiveXLabelPower,
                 CapTypeActiveYLabelPower,
-                OffsetActiveXLabel,
-                OffsetActiveYLabel,
+                InputOffsetActiveXLabel,
+                InputOffsetActiveYLabel,
+                OutputOffsetActiveXLabel,
+                OutputOffsetActiveYLabel,
                 AccelerationActiveLabelX,
                 AccelerationActiveLabelY,
                 DecayRateActiveXLabel,
@@ -197,8 +197,6 @@ namespace grapher
                 PowerClassicActiveYLabel,
                 ExpActiveXLabel,
                 ExpActiveYLabel,
-                powerStartFromActiveLabelX,
-                powerStartFromActiveLabelY,
                 MidpointActiveXLabel,
                 MidpointActiveYLabel,
                 AccelTypeActiveLabelX,
diff --git a/grapher/Layouts/ClassicLayout.cs b/grapher/Layouts/ClassicLayout.cs
index 05c590f..4f82e8a 100644
--- a/grapher/Layouts/ClassicLayout.cs
+++ b/grapher/Layouts/ClassicLayout.cs
@@ -16,11 +16,11 @@ namespace grapher.Layouts
             DecayRateLayout = new OptionLayout(false, string.Empty);
             GrowthRateLayout = new OptionLayout(false, string.Empty);
             SmoothLayout = new OptionLayout(false, string.Empty);
-            OffsetLayout = new OptionLayout(true, Offset);
+            InputOffsetLayout = new OptionLayout(true, InputOffset);
             LimitLayout = new OptionLayout(false, string.Empty);
             PowerClassicLayout = new OptionLayout(true, PowerClassic);
             ExponentLayout = new OptionLayout(false, string.Empty);
-            PowerStartsFromLayout = new OptionLayout(false, string.Empty);
+            OutputOffsetLayout = new OptionLayout(false, string.Empty);
             MidpointLayout = new OptionLayout(false, string.Empty);
             LutTextLayout = new OptionLayout(false, string.Empty);
             LutPanelLayout = new OptionLayout(false, string.Empty);
diff --git a/grapher/Layouts/DefaultLayout.cs b/grapher/Layouts/DefaultLayout.cs
index 1b45307..f44de01 100644
--- a/grapher/Layouts/DefaultLayout.cs
+++ b/grapher/Layouts/DefaultLayout.cs
@@ -17,11 +17,11 @@ namespace grapher.Layouts
             DecayRateLayout = new OptionLayout(true, DecayRate);
             GrowthRateLayout = new OptionLayout(true, GrowthRate);
             SmoothLayout = new OptionLayout(true, Smooth);
-            OffsetLayout = new OptionLayout(true, Offset);
+            InputOffsetLayout = new OptionLayout(true, InputOffset);
             LimitLayout = new OptionLayout(true, Limit);
             PowerClassicLayout = new OptionLayout(true, PowerClassic);
             ExponentLayout = new OptionLayout(true, Exponent);
-            PowerStartsFromLayout = new OptionLayout(false, string.Empty);
+            OutputOffsetLayout = new OptionLayout(false, string.Empty);
             MidpointLayout = new OptionLayout(true, Midpoint);
             LutTextLayout = new OptionLayout(false, string.Empty);
             LutPanelLayout = new OptionLayout(false, string.Empty);
diff --git a/grapher/Layouts/JumpLayout.cs b/grapher/Layouts/JumpLayout.cs
index 40e7629..9554175 100644
--- a/grapher/Layouts/JumpLayout.cs
+++ b/grapher/Layouts/JumpLayout.cs
@@ -17,11 +17,11 @@ namespace grapher.Layouts
             DecayRateLayout = new OptionLayout(false, string.Empty);
             GrowthRateLayout = new OptionLayout(false, string.Empty);
             SmoothLayout = new OptionLayout(true, Smooth);
-            OffsetLayout = new OptionLayout(true, Offset);
+            InputOffsetLayout = new OptionLayout(true, InputOffset);
             LimitLayout = new OptionLayout(false, Limit);
             PowerClassicLayout = new OptionLayout(false, string.Empty);
             ExponentLayout = new OptionLayout(false, string.Empty);
-            PowerStartsFromLayout = new OptionLayout(false, string.Empty);
+            OutputOffsetLayout = new OptionLayout(false, string.Empty);
             MidpointLayout = new OptionLayout(false, string.Empty);
             LutTextLayout = new OptionLayout(false, string.Empty);
             LutPanelLayout = new OptionLayout(false, string.Empty);
diff --git a/grapher/Layouts/LUTLayout.cs b/grapher/Layouts/LUTLayout.cs
index 5412294..88f8280 100644
--- a/grapher/Layouts/LUTLayout.cs
+++ b/grapher/Layouts/LUTLayout.cs
@@ -25,10 +25,10 @@ namespace grapher.Layouts
             DecayRateLayout = new OptionLayout(false, string.Empty);
             GrowthRateLayout = new OptionLayout(false, string.Empty);
             SmoothLayout = new OptionLayout(false, string.Empty);
-            OffsetLayout = new OptionLayout(false, Offset);
+            InputOffsetLayout = new OptionLayout(false, string.Empty);
             LimitLayout = new OptionLayout(false, string.Empty);
             PowerClassicLayout = new OptionLayout(false, string.Empty);
-            PowerStartsFromLayout = new OptionLayout(false, string.Empty);
+            OutputOffsetLayout = new OptionLayout(false, string.Empty);
             ExponentLayout = new OptionLayout(false, Exponent);
             MidpointLayout = new OptionLayout(false, string.Empty);
             LutTextLayout = new OptionLayout(true, string.Empty);
diff --git a/grapher/Layouts/LayoutBase.cs b/grapher/Layouts/LayoutBase.cs
index a283008..1dced61 100644
--- a/grapher/Layouts/LayoutBase.cs
+++ b/grapher/Layouts/LayoutBase.cs
@@ -9,12 +9,12 @@ namespace grapher.Layouts
         public const string DecayRate = "Decay Rate";
         public const string Scale = "Scale";
         public const string Exponent = "Exponent";
-        public const string StartsFrom = "Start from";
+        public const string OutputOffset = "Output Offset";
         public const string PowerClassic = "Power";
         public const string Limit = "Limit";
         public const string Midpoint = "Midpoint";
         public const string Motivity = "Motivity";
-        public const string Offset = "Offset";
+        public const string InputOffset = "Input Offset";
         public const string CapType = "Cap Type";
         public const string Weight = "Weight";
         public const string Smooth = "Smooth";
@@ -27,11 +27,11 @@ namespace grapher.Layouts
             SmoothLayout = new OptionLayout(false, string.Empty);
             ClassicCapLayout = new OptionLayout(false, string.Empty);
             PowerCapLayout = new OptionLayout(false, string.Empty);
-            OffsetLayout = new OptionLayout(false, string.Empty);
+            InputOffsetLayout = new OptionLayout(false, string.Empty);
             LimitLayout = new OptionLayout(false, string.Empty);
             PowerClassicLayout = new OptionLayout(false, string.Empty);
             ExponentLayout = new OptionLayout(false, string.Empty);
-            PowerStartsFromLayout = new OptionLayout(false, string.Empty);
+            OutputOffsetLayout = new OptionLayout(false, string.Empty);
             MidpointLayout = new OptionLayout(false, string.Empty);
             LutTextLayout = new OptionLayout(false, string.Empty);
             LutPanelLayout = new OptionLayout(false, string.Empty);
@@ -59,7 +59,7 @@ namespace grapher.Layouts
 
         protected OptionLayout PowerCapLayout { get; set; }
 
-        protected OptionLayout OffsetLayout { get; set; }
+        protected OptionLayout InputOffsetLayout { get; set; }
 
         protected OptionLayout LimitLayout { get; set; }
 
@@ -67,7 +67,7 @@ namespace grapher.Layouts
 
         protected OptionLayout ExponentLayout { get; set; }
 
-        protected OptionLayout PowerStartsFromLayout { get; set; }
+        protected OptionLayout OutputOffsetLayout { get; set; }
 
         protected OptionLayout MidpointLayout { get; set; }
 
@@ -91,11 +91,11 @@ namespace grapher.Layouts
             IOption decayRateOption,
             IOption growthRateOption,
             IOption smoothOption,
-            IOption offsetOption,
+            IOption inputOffsetOption,
             IOption limitOption,
             IOption powerClassicOption,
             IOption expOption,
-            IOption startsFromOption,
+            IOption outputOffsetOption,
             IOption midpointOption,
             IOption lutTextOption,
             IOption lutPanelOption,
@@ -112,11 +112,11 @@ namespace grapher.Layouts
                 (DecayRateLayout, decayRateOption),
                 (GrowthRateLayout, growthRateOption),
                 (SmoothLayout, smoothOption),
-                (OffsetLayout, offsetOption),
+                (InputOffsetLayout, inputOffsetOption),
                 (LimitLayout, limitOption),
                 (PowerClassicLayout, powerClassicOption),
                 (ExponentLayout, expOption),
-                (PowerStartsFromLayout, startsFromOption),
+                (OutputOffsetLayout, outputOffsetOption),
                 (MidpointLayout, midpointOption),
                 (LutTextLayout, lutTextOption),
                 (LutPanelLayout, lutPanelOption),
@@ -147,11 +147,11 @@ namespace grapher.Layouts
             IOption decayRateOption,
             IOption growthRateOption,
             IOption smoothOption,
-            IOption offsetOption,
+            IOption inputOffsetOption,
             IOption limitOption,
             IOption powerClassicOption,
             IOption expOption,
-            IOption startsFromOption,
+            IOption outputOffsetOption,
             IOption midpointOption,
             IOption lutTextOption,
             IOption lutPanelOption,
@@ -163,11 +163,11 @@ namespace grapher.Layouts
                 decayRateOption,
                 growthRateOption,
                 smoothOption,
-                offsetOption,
+                inputOffsetOption,
                 limitOption,
                 powerClassicOption,
                 expOption,
-                startsFromOption,
+                outputOffsetOption,
                 midpointOption,
                 lutTextOption,
                 lutPanelOption,
diff --git a/grapher/Layouts/LinearLayout.cs b/grapher/Layouts/LinearLayout.cs
index f6b3cc0..279f0a9 100644
--- a/grapher/Layouts/LinearLayout.cs
+++ b/grapher/Layouts/LinearLayout.cs
@@ -18,10 +18,10 @@ namespace grapher.Layouts
             DecayRateLayout = new OptionLayout(false, string.Empty);
             GrowthRateLayout = new OptionLayout(false, string.Empty);
             SmoothLayout = new OptionLayout(false, string.Empty);
-            OffsetLayout = new OptionLayout(true, Offset);
+            InputOffsetLayout = new OptionLayout(true, InputOffset);
             LimitLayout = new OptionLayout(false, string.Empty);
             PowerClassicLayout = new OptionLayout(false, string.Empty);
-            PowerStartsFromLayout = new OptionLayout(false, string.Empty);
+            OutputOffsetLayout = new OptionLayout(false, string.Empty);
             ExponentLayout = new OptionLayout(false, string.Empty);
             MidpointLayout = new OptionLayout(false, string.Empty);
             LutTextLayout = new OptionLayout(false, string.Empty);
diff --git a/grapher/Layouts/MotivityLayout.cs b/grapher/Layouts/MotivityLayout.cs
index ebce103..15394d2 100644
--- a/grapher/Layouts/MotivityLayout.cs
+++ b/grapher/Layouts/MotivityLayout.cs
@@ -22,11 +22,11 @@ namespace grapher.Layouts
             DecayRateLayout = new OptionLayout(false, string.Empty);
             GrowthRateLayout = new OptionLayout(true, GrowthRate);
             SmoothLayout = new OptionLayout(false, string.Empty);
-            OffsetLayout = new OptionLayout(false, string.Empty);
+            InputOffsetLayout = new OptionLayout(false, string.Empty);
             LimitLayout = new OptionLayout(true, Motivity);
             PowerClassicLayout = new OptionLayout(false, string.Empty);
             ExponentLayout = new OptionLayout(false, string.Empty);
-            PowerStartsFromLayout = new OptionLayout(false, string.Empty);
+            OutputOffsetLayout = new OptionLayout(false, string.Empty);
             MidpointLayout = new OptionLayout(true, Midpoint);
             LutTextLayout = new OptionLayout(false, string.Empty);
             LutPanelLayout = new OptionLayout(false, string.Empty);
diff --git a/grapher/Layouts/NaturalLayout.cs b/grapher/Layouts/NaturalLayout.cs
index ed5ade9..d182d6d 100644
--- a/grapher/Layouts/NaturalLayout.cs
+++ b/grapher/Layouts/NaturalLayout.cs
@@ -17,11 +17,11 @@ namespace grapher.Layouts
             DecayRateLayout = new OptionLayout(true, DecayRate);
             GrowthRateLayout = new OptionLayout(false, string.Empty);
             SmoothLayout = new OptionLayout(false, string.Empty);
-            OffsetLayout = new OptionLayout(true, Offset);
+            InputOffsetLayout = new OptionLayout(true, InputOffset);
             LimitLayout = new OptionLayout(true, Limit);
             PowerClassicLayout = new OptionLayout(false, string.Empty);
             ExponentLayout = new OptionLayout(false, string.Empty);
-            PowerStartsFromLayout = new OptionLayout(false, string.Empty);
+            OutputOffsetLayout = new OptionLayout(false, string.Empty);
             MidpointLayout = new OptionLayout(false, string.Empty);
             LutTextLayout = new OptionLayout(false, string.Empty);
             LutPanelLayout = new OptionLayout(false, string.Empty);
diff --git a/grapher/Layouts/OffLayout.cs b/grapher/Layouts/OffLayout.cs
index 92333d9..630ea16 100644
--- a/grapher/Layouts/OffLayout.cs
+++ b/grapher/Layouts/OffLayout.cs
@@ -17,11 +17,11 @@ namespace grapher.Layouts
             DecayRateLayout = new OptionLayout(false, string.Empty);
             GrowthRateLayout = new OptionLayout(false, string.Empty);
             SmoothLayout = new OptionLayout(false, string.Empty);
-            OffsetLayout = new OptionLayout(false, string.Empty);
+            InputOffsetLayout = new OptionLayout(false, string.Empty);
             LimitLayout = new OptionLayout(false, string.Empty);
             PowerClassicLayout = new OptionLayout(false, string.Empty);
             ExponentLayout = new OptionLayout(false, string.Empty);
-            PowerStartsFromLayout = new OptionLayout(false, string.Empty);
+            OutputOffsetLayout = new OptionLayout(false, string.Empty);
             MidpointLayout = new OptionLayout(false, string.Empty);
             LutTextLayout = new OptionLayout(false, string.Empty);
             LutPanelLayout = new OptionLayout(false, string.Empty);
diff --git a/grapher/Layouts/PowerLayout.cs b/grapher/Layouts/PowerLayout.cs
index c25bbbb..e34e6a5 100644
--- a/grapher/Layouts/PowerLayout.cs
+++ b/grapher/Layouts/PowerLayout.cs
@@ -15,11 +15,11 @@
             DecayRateLayout = new OptionLayout(false, string.Empty);
             GrowthRateLayout = new OptionLayout(false, string.Empty);
             SmoothLayout = new OptionLayout(false, string.Empty);
-            OffsetLayout = new OptionLayout(false, string.Empty);
+            InputOffsetLayout = new OptionLayout(false, string.Empty);
             LimitLayout = new OptionLayout(false, string.Empty);
             PowerClassicLayout = new OptionLayout(false, string.Empty);
             ExponentLayout = new OptionLayout(true, Exponent);
-            PowerStartsFromLayout = new OptionLayout(true, StartsFrom);
+            OutputOffsetLayout = new OptionLayout(true, OutputOffset);
             MidpointLayout = new OptionLayout(false, string.Empty);
             LutTextLayout = new OptionLayout(false, string.Empty);
             LutPanelLayout = new OptionLayout(false, string.Empty);
diff --git a/grapher/Layouts/UnsupportedLayout.cs b/grapher/Layouts/UnsupportedLayout.cs
index 3faf721..3aa88aa 100644
--- a/grapher/Layouts/UnsupportedLayout.cs
+++ b/grapher/Layouts/UnsupportedLayout.cs
@@ -22,11 +22,11 @@ namespace grapher.Layouts
             DecayRateLayout = new OptionLayout(false, string.Empty);
             GrowthRateLayout = new OptionLayout(false, string.Empty);
             SmoothLayout = new OptionLayout(false, string.Empty);
-            OffsetLayout = new OptionLayout(false, Offset);
+            InputOffsetLayout = new OptionLayout(false, string.Empty);
             LimitLayout = new OptionLayout(false, string.Empty);
             PowerClassicLayout = new OptionLayout(false, string.Empty);
             ExponentLayout = new OptionLayout(false, Exponent);
-            PowerStartsFromLayout = new OptionLayout(false, string.Empty);
+            OutputOffsetLayout = new OptionLayout(false, string.Empty);
             MidpointLayout = new OptionLayout(false, string.Empty);
             LutTextLayout = new OptionLayout(true, LUTLayoutText);
             LutPanelLayout = new OptionLayout(false, string.Empty);
diff --git a/grapher/Models/AccelGUIFactory.cs b/grapher/Models/AccelGUIFactory.cs
index 89318e2..bb65541 100644
--- a/grapher/Models/AccelGUIFactory.cs
+++ b/grapher/Models/AccelGUIFactory.cs
@@ -54,8 +54,10 @@ namespace grapher.Models
             TextBox inCapBoxYPower,
             TextBox outCapBoxXPower,
             TextBox outCapBoxYPower,
-            TextBox offsetBoxX,
-            TextBox offsetBoxY,
+            TextBox inputOffsetBoxX,
+            TextBox inputOffsetBoxY,
+            TextBox outputOffsetBoxX,
+            TextBox outputOffsetBoxY,
             TextBox accelerationBoxX,
             TextBox accelerationBoxY,
             TextBox decayRateBoxX,
@@ -86,10 +88,6 @@ namespace grapher.Models
             CheckBox byComponentCheckBox,
             CheckBox gainSwitchX,
             CheckBox gainSwitchY,
-            CheckBox powerStartsFromZeroBoxX,
-            CheckBox powerStartsFromOneBoxX,
-            CheckBox powerStartsFromZeroBoxY,
-            CheckBox powerStartsFromOneBoxY,
             RichTextBox xLutActiveValuesBox,
             RichTextBox yLutActiveValuesBox,
             RichTextBox xLutPointsBox,
@@ -110,8 +108,10 @@ namespace grapher.Models
             Label outCapLabelYPower,
             Label capTypeLabelXPower,
             Label capTypeLabelYPower,
-            Label offsetLabelX,
-            Label offsetLabelY,
+            Label inputOffsetLabelX,
+            Label inputOffsetLabelY,
+            Label outputOffsetLabelX,
+            Label outputOffsetLabelY,
             Label constantOneLabelX,
             Label constantOneLabelY,
             Label decayRateLabelX,
@@ -128,8 +128,6 @@ namespace grapher.Models
             Label powerClassicLabelY,
             Label expLabelX,
             Label expLabelY,
-            Label powerStartsFromLabelX,
-            Label powerStartsFromLabelY,
             Label lutTextLabelX,
             Label lutTextLabelY,
             Label constantThreeLabelX,
@@ -151,8 +149,10 @@ namespace grapher.Models
             Label outCapActiveYLabelPower,
             Label capTypeActiveXLabelPower,
             Label capTypeActiveYLabelPower,
-            Label offsetActiveLabelX,
-            Label offsetActiveLabelY,
+            Label inputOffsetActiveLabelX,
+            Label inputOffsetActiveLabelY,
+            Label outputOffsetActiveLabelX,
+            Label outputOffsetActiveLabelY,
             Label accelerationActiveLabelX,
             Label accelerationActiveLabelY,
             Label decayRateActiveLabelX,
@@ -169,8 +169,6 @@ namespace grapher.Models
             Label powerClassicActiveLabelY,
             Label expActiveLabelX,
             Label expActiveLabelY,
-            Label powerStartsFromActiveLabelX,
-            Label powerStartsFromActiveLabelY,
             Label midpointActiveLabelX,
             Label midpointActiveLabelY,
             Label accelTypeActiveLabelX,
@@ -249,22 +247,40 @@ namespace grapher.Models
 
             var directionalityLeft = directionalityPanel.Left;
 
-            var offsetX = new Option(
-                offsetBoxX,
+            var inputOffsetX = new Option(
+                inputOffsetBoxX,
                 form,
                 0,
-                offsetLabelX,
+                inputOffsetLabelX,
                 0,
-                new ActiveValueLabel(offsetActiveLabelX, activeValueTitleX),
+                new ActiveValueLabel(inputOffsetActiveLabelX, activeValueTitleX),
                 "Offset");
 
-            var offsetY = new Option(
-                offsetBoxY,
+            var inputOffsetY = new Option(
+                inputOffsetBoxY,
                 form,
                 0,
-                offsetLabelY,
+                inputOffsetLabelY,
                 optionSetYLeft,
-                new ActiveValueLabel(offsetActiveLabelY, activeValueTitleY),
+                new ActiveValueLabel(inputOffsetActiveLabelY, activeValueTitleY),
+                "Offset");
+
+            var outputOffsetX = new Option(
+                outputOffsetBoxX,
+                form,
+                0,
+                outputOffsetLabelX,
+                0,
+                new ActiveValueLabel(outputOffsetActiveLabelX, activeValueTitleX),
+                "Offset");
+
+            var outputOffsetY = new Option(
+                outputOffsetBoxY,
+                form,
+                0,
+                outputOffsetLabelY,
+                optionSetYLeft,
+                new ActiveValueLabel(outputOffsetActiveLabelY, activeValueTitleY),
                 "Offset");
 
             var accelerationX = new Option(
@@ -495,20 +511,6 @@ namespace grapher.Models
                 outCapYPower,
                 scaleY);
 
-            var powerStartsFromX = new SwitchOption(
-                powerStartsFromLabelX,
-                powerStartsFromZeroBoxX,
-                powerStartsFromOneBoxX,
-                new ActiveValueLabel(powerStartsFromActiveLabelX, activeValueTitleX),
-                0);
-
-            var powerStartsFromY = new SwitchOption(
-                powerStartsFromLabelY,
-                powerStartsFromZeroBoxY,
-                powerStartsFromOneBoxY,
-                new ActiveValueLabel(powerStartsFromActiveLabelY, activeValueTitleY),
-                optionSetYLeft);
-
             var lpNorm = new Option(
                 new Field(lpNormBox, form, 2),
                 lpNormLabel,
@@ -554,11 +556,11 @@ namespace grapher.Models
                 gainSwitchOptionX,
                 classicCapOptionsX,
                 powerCapOptionsX,
-                powerStartsFromX,
+                outputOffsetX,
                 decayRateX,
                 growthRateX,
                 smoothX,
-                offsetX,
+                inputOffsetX,
                 limitX,
                 powerClassicX,
                 exponentX,
@@ -577,11 +579,11 @@ namespace grapher.Models
                 gainSwitchOptionY,
                 classicCapOptionsY,
                 powerCapOptionsY,
-                powerStartsFromY,
+                outputOffsetY,
                 decayRateY,
                 growthRateY,
                 smoothY,
-                offsetY,
+                inputOffsetY,
                 limitY,
                 powerClassicY,
                 exponentY,
diff --git a/grapher/Models/Options/AccelTypeOptions.cs b/grapher/Models/Options/AccelTypeOptions.cs
index b3153ed..d89f2d1 100644
--- a/grapher/Models/Options/AccelTypeOptions.cs
+++ b/grapher/Models/Options/AccelTypeOptions.cs
@@ -29,11 +29,11 @@ namespace grapher
             CheckBoxOption gainSwitch,
             CapOptions classicCap,
             CapOptions powerCap,
-            SwitchOption powerStartsFrom,
+            Option outputOffset,
             Option decayRate,
             Option growthRate,
             Option smooth,
-            Option offset,
+            Option inputOffset,
             Option limit,
             Option powerClassic,
             Option exponent,
@@ -67,11 +67,11 @@ namespace grapher
             Smooth = smooth;
             ClassicCap = classicCap;
             PowerCap = powerCap;
-            Offset = offset;
+            InputOffset = inputOffset;
             Limit = limit;
             PowerClassic = powerClassic;
             Exponent = exponent;
-            PowerStartsFrom = powerStartsFrom;
+            OutputOffset = outputOffset;
             Midpoint = midpoint;
             WriteButton = writeButton;
             AccelTypeActiveValue = accelTypeActiveValue;
@@ -114,9 +114,9 @@ namespace grapher
 
         public CapOptions PowerCap { get; }
 
-        public SwitchOption PowerStartsFrom { get; }
+        public Option InputOffset { get; }
 
-        public Option Offset { get; }
+        public Option OutputOffset { get; }
 
         public Option Limit { get; }
 
@@ -227,8 +227,8 @@ namespace grapher
             Smooth.Hide();
             ClassicCap.Hide();
             PowerCap.Hide();
-            PowerStartsFrom.Hide();
-            Offset.Hide();
+            OutputOffset.Hide();
+            InputOffset.Hide();
             Limit.Hide();
             PowerClassic.Hide();
             Exponent.Hide();
@@ -265,8 +265,8 @@ namespace grapher
                 args.cap.x,
                 args.cap.y,
                 args.capMode);
-            PowerStartsFrom.SetActiveValue(!args.powerStartFromOne);
-            Offset.SetActiveValue(args.offset);
+            OutputOffset.SetActiveValue(args.outputOffset);
+            InputOffset.SetActiveValue(args.inputOffset);
             DecayRate.SetActiveValue(args.decayRate);
             GrowthRate.SetActiveValue(args.growthRate);
             Smooth.SetActiveValue(args.smooth);
@@ -328,7 +328,6 @@ namespace grapher
                 args.cap.y = PowerCap.Out.Field.Data;
                 args.capMode = PowerCap.CapTypeOptions.GetSelectedCapMode();
             }
-            if (PowerStartsFrom.Visible) args.powerStartFromOne = PowerStartsFrom.Second.Checked;
             if (Limit.Visible)
             {
                 if (args.mode == AccelMode.motivity)
@@ -342,7 +341,8 @@ namespace grapher
             }
             if (PowerClassic.Visible) args.exponentClassic = PowerClassic.Field.Data;
             if (Exponent.Visible) args.exponentPower = Exponent.Field.Data;
-            if (Offset.Visible) args.offset = Offset.Field.Data;
+            if (InputOffset.Visible) args.inputOffset = InputOffset.Field.Data;
+            if (OutputOffset.Visible) args.outputOffset = OutputOffset.Field.Data;
             if (Midpoint.Visible) args.midpoint = Midpoint.Field.Data;
             if (LutPanel.Visible)
             {
@@ -369,8 +369,8 @@ namespace grapher
             Smooth.AlignActiveValues();
             ClassicCap.AlignActiveValues();
             PowerCap.AlignActiveValues();
-            PowerStartsFrom.AlignActiveValues();
-            Offset.AlignActiveValues();
+            OutputOffset.AlignActiveValues();
+            InputOffset.AlignActiveValues();
             Limit.AlignActiveValues();
             PowerClassic.AlignActiveValues();
             Exponent.AlignActiveValues();
@@ -407,11 +407,11 @@ namespace grapher
                 DecayRate,
                 GrowthRate,
                 Smooth,
-                Offset,
+                InputOffset,
                 Limit,
                 PowerClassic,
                 Exponent,
-                PowerStartsFrom,
+                OutputOffset,
                 Midpoint,
                 LutText,
                 LutPanel,
diff --git a/wrapper/wrapper.cpp b/wrapper/wrapper.cpp
index 9930454..ce4d298 100644
--- a/wrapper/wrapper.cpp
+++ b/wrapper/wrapper.cpp
@@ -64,7 +64,8 @@ public value struct AccelArgs
     [MarshalAs(UnmanagedType::U1)]
     bool gain;
 
-    double offset;
+    double inputOffset;
+    double outputOffset;
     double acceleration;
     double decayRate;
     double growthRate;
@@ -75,7 +76,6 @@ public value struct AccelArgs
     double limit;
     double midpoint;
     double smooth;
-    bool powerStartFromOne;
 
     [JsonProperty("Cap / Jump")]
     Vec2<double> cap;