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document selling price
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‎src/SUMMARY.md‎

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- [Base Price](./towns/ware-prices/base-price.md)
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- [Thresholds](./towns/ware-prices/thresholds.md)
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- [Buying Price](./towns/ware-prices/buying-price.md)
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- [Selling Price](./towns/ware-prices/selling-price.md)
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- [Shipyard](./towns/shipyard.md)
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- [Taxes](./towns/taxes.md)
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- [Tavern](./towns/tavern.md)

‎src/towns/ware-prices/base-price.md‎

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# Base Price
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The `ware_base_prices` table at `0x00673A18` defines the following *base prices*:
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|Ware|Base Price|
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|-|-|
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|Grain|0.055000003|
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|Meat|0.47855002|
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|Fish|0.22005001|
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|Beer|0.17399999|
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|Salt|0.1425|
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|Honey|0.55000001|
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|Spices|1.4|
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|Wine|1.1|
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|Cloth|1.034|
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|Skins|3.3824999|
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|WhaleOil|0.41249999|
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|Timber|0.027500002|
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|IronGoods|1.278|
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|Leather|1.12|
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|Wool|0.44000003|
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|Pitch|0.278|
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|PigIron|0.44000003|
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|Hemp|0.22000001|
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|Pottery|0.85499996|
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|Bricks|0.039900005|
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|Ware|Base Price|Base Price per Barrel/Bundle|
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|-|-|-|
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|Grain|0.055000003|110.0|
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|Meat|0.47855002|957.1|
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|Fish|0.22005001|440.1|
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|Beer|0.17399999|34.8|
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|Salt|0.1425|28.45|
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|Honey|0.55000001|110.0|
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|Spices|1.4|280.0|
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|Wine|1.1|220.0|
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|Cloth|1.034|206.8|
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|Skins|3.3824999|676.5|
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|WhaleOil|0.41249999|82.5|
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|Timber|0.027500002|55.0|
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|IronGoods|1.278|255.6|
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|Leather|1.12|224.0|
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|Wool|0.44000003|880.0|
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|Pitch|0.278|55.6|
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|PigIron|0.44000003|880.0|
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|Hemp|0.22000001|440.0|
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|Pottery|0.85499996|171.0|
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|Bricks|0.039900005|79.8|

‎src/towns/ware-prices/buying-price-factor.png‎

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‎src/towns/ware-prices/buying-price.md‎

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@@ -10,7 +10,7 @@ The price formula operates on 5 intervals, and the 4 price thresholds specify th
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|1|[\\(t\_0\\); \\(t\_1\\)]|
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|2|[\\(t\_1\\); \\(t\_2\\)]|
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|3|[\\(t\_2\\); \\(t\_3\\)]|
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|4|[\\(t\_3\\); \\(\inf\\)]|
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|4|[\\(t\_3\\); \\(\infty\\)]|
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Within every interval \\(i\\) the price \\(p\_i\\) is defined as:
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\\[
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\end{aligned}
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\\]
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where \\(w\_{relative\\_stock}\\) and \\(w\_{relative\\_remain}\\) are the stock's and remainder's offsets in the interval
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and \\(m\_i\\) and \\(v\_i\\) are defined as:
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where \\(w\_{relative\\_stock}\\) and \\(w\_{relative\\_remain}\\) are the stock's and remainder's offsets in the interval and \\(m\_i\\) and \\(v\_i\\) are defined as:
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|Bracket|\\(m\_i\\)|\\(v\_i\\)|
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|-|-|-|
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|3|0.8|0.2|
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## Example
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Let's assume we buy pig iron from a town with the following stock and thresholds:
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Let's assume we buy pig iron from a town with the following thresholds:
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|Threshold|Value|
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|-|-|
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|Stock|110000|
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|t0|20000|
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|t1|60000|
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|t2|70000|

‎src/towns/ware-prices/buying-price.py‎

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plt.savefig("buying-price-pigiron.png", dpi=150)
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def plot_factor():
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plt.clf()
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params = {"mathtext.default": "regular"}
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plt.rcParams.update(params)
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fig, (ax1) = plt.subplots(1, 1)
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# Intervals
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left = 0
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for i in range(0, len(SAMPLE_THRESHOLDS)):
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t = SAMPLE_THRESHOLDS[i]
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bar = ax1.barh(0, t - left, 1, left=left, label=f"Interval {i}")
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left += t - left
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# Stock
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stock = 50_000
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ax1.barh(-1, stock, 1, label=f"Stock")
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# Buying
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buy = 20_000
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ax1.barh(-2, buy, 1, left=stock - buy, label=f"Buy")
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ax1.barh(
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-3,
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stock - SAMPLE_THRESHOLDS[0],
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1,
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left=SAMPLE_THRESHOLDS[0],
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label=f"Relative Stock",
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)
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ax1.barh(
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-4,
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stock - buy - SAMPLE_THRESHOLDS[0],
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1,
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left=SAMPLE_THRESHOLDS[0],
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label=f"Relative Remain",
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)
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ax1.set_yticks(
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[0, -1, -2, -3, -4],
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labels=["Intervals", "Stock", "Buy", "Relative Stock", "Relative Remain"],
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)
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ax1.set_ylim([-10, 1.5])
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plt.tight_layout()
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plt.savefig("buying-price-factor.png", dpi=200)
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def tests():
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stock = 2_000
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buy_amount = 1 * 2000
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logging.basicConfig()
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tests()
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logging.getLogger().setLevel(logging.INFO)
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tests()
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plot_example1()
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logging.getLogger().setLevel(logging.DEBUG)
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LOGGER.info("success!")
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plot_factor()
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LOGGER.debug(get_price(22_000, 2_000, SAMPLE_THRESHOLDS, PIG_IRON_BASE_PRICE))
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stock = 6600
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buy_amount = 1 * 200
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t2 = [1000, 2000, 3000, 4000]
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price = get_price(stock, buy_amount, t2, 1.4)
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print(price)

‎src/towns/ware-prices/selling-price-pigiron.png‎

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‎src/towns/ware-prices/selling-price.md‎

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# Selling Price
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The `get_sell_price` function at `0x0052E1D0` takes a pointer to a class containing the mapped trade difficulty setting, a ware, town, and sell amount and returns the transaction price.
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## Formula
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The price formula operates on 5 intervals, and the 4 price thresholds specify the bounds.
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|Interval|Bounds|
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|-|-|
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|0|[0; \\(t\_0\\)]|
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|1|[\\(t\_0\\); \\(t\_1\\)]|
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|2|[\\(t\_1\\); \\(t\_2\\)]|
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|3|[\\(t\_2\\); \\(t\_3\\)]|
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|4|[\\(t\_3\\); \\(\infty\\)]|
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Within every interval \\(i\\) the price \\(p\_i\\) is defined as:
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\\[
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\begin{aligned}
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p\_{i} &= p\_{base} * w\_{i} * f\_{i}
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\end{aligned}
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\\]
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where \\(w\_i\\) is the amount being sold to \\(i\\) and \\(f\\) is defined as:
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\\[
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\begin{aligned}
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f\_4 &= 0.5\\\\
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f\_{i} &= m_i - v_i \underbrace{\frac{w\_{relative\\_stock} + w\_{relative\\_new\\_stock}}{2 * \text{interval_width}}}\_{\in [0; 1]}\\\\
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f\_0 &= d\_{trade\\_difficulty} - (v\_i - d\_{trade\\_difficulty}) \underbrace{\frac{w\_{relative\\_stock} + w\_{relative\\_new\\_stock}}{2 * \text{interval_width}}}\_{\in [0; 1]}
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\end{aligned}
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\\]
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where \\(w\_{relative\\_stock}\\) and \\(w\_{relative\\_new\\_stock}\\) are the stock's and new stock's offsets in the interval and \\(m\_i\\) and \\(v\_i\\) are defined as:
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|Bracket|\\(m\_i\\)|\\(v\_i\\)|
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|-|-|-|
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|0|NaN|1.4|
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|1|1.4|0.4|
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|2|1.0|0.3|
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|3|0.7|0.2|
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and \\(d\_{trade\\_difficulty}\\) is defined as:
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|Difficulty|Value|
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|-|-|
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|0 (low)|2.2|
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|1 (normal)|2.0|
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|2 (high)|1.8|
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## Example
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Let's assume we sell pig iron to a town with the following thresholds:
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|Threshold|Value|
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|-|-|
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|t0|20000|
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|t1|60000|
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|t2|70000|
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|t3|80000|
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If we sell one bundle (2000), the resulting prices at different stock levels would be:
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![image](selling-price-pigiron.png)

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